YES 18.03 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
  ((delListFromFM :: (Ord c, Ord a) => FiniteMap (Either a c) b  ->  [Either a c]  ->  FiniteMap (Either a c) b) :: (Ord a, Ord c) => FiniteMap (Either a c) b  ->  [Either a c]  ->  FiniteMap (Either a c) b)

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

  delFromFM :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
delFromFM EmptyFM del_key = emptyFM
delFromFM (Branch key elt size fm_l fm_r) del_key 
 | del_key > key = 
mkBalBranch key elt fm_l (delFromFM fm_r del_key)
 | del_key < key = 
mkBalBranch key elt (delFromFM fm_l del_key) fm_r
 | key == del_key = 
glueBal fm_l fm_r

  delListFromFM :: Ord b => FiniteMap b a  ->  [b]  ->  FiniteMap b a
delListFromFM fm keys = foldl delFromFM fm keys

  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 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 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 (\key elt rest ->(key,elt) : rest) [] fm

  foldFM :: (a  ->  c  ->  b  ->  b)  ->  b  ->  FiniteMap a c  ->  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

  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 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

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


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
\keyeltrest→(key,elt) : rest

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



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR

mainModule FiniteMap
  ((delListFromFM :: (Ord c, Ord b) => FiniteMap (Either b c) a  ->  [Either b c]  ->  FiniteMap (Either b c) a) :: (Ord c, Ord b) => FiniteMap (Either b c) a  ->  [Either b c]  ->  FiniteMap (Either b c) a)

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

  delFromFM :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
delFromFM EmptyFM del_key = emptyFM
delFromFM (Branch key elt size fm_l fm_r) del_key 
 | del_key > key = 
mkBalBranch key elt fm_l (delFromFM fm_r del_key)
 | del_key < key = 
mkBalBranch key elt (delFromFM fm_l del_key) fm_r
 | key == del_key = 
glueBal fm_l fm_r

  delListFromFM :: Ord b => FiniteMap b a  ->  [b]  ->  FiniteMap b a
delListFromFM fm keys = foldl delFromFM fm keys

  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 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 a b  ->  (a,b)
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 :: (a  ->  c  ->  b  ->  b)  ->  b  ->  FiniteMap a c  ->  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_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

  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 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

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


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
  ((delListFromFM :: (Ord b, Ord c) => FiniteMap (Either c b) a  ->  [Either c b]  ->  FiniteMap (Either c b) a) :: (Ord c, Ord b) => FiniteMap (Either c b) a  ->  [Either c b]  ->  FiniteMap (Either c b) a)

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

  delFromFM :: Ord a => FiniteMap a b  ->  a  ->  FiniteMap a b
delFromFM EmptyFM del_key = emptyFM
delFromFM (Branch key elt size fm_l fm_r) del_key 
 | del_key > key = 
mkBalBranch key elt fm_l (delFromFM fm_r del_key)
 | del_key < key = 
mkBalBranch key elt (delFromFM fm_l del_key) fm_r
 | key == del_key = 
glueBal fm_l fm_r

  delListFromFM :: Ord a => FiniteMap a b  ->  [a]  ->  FiniteMap a b
delListFromFM fm keys = foldl delFromFM fm keys

  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 a b  ->  (a,b)
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  ->  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

  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 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 _ _ _ _) = 
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

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


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
  ((delListFromFM :: (Ord b, Ord a) => FiniteMap (Either a b) c  ->  [Either a b]  ->  FiniteMap (Either a b) c) :: (Ord b, Ord a) => FiniteMap (Either a b) c  ->  [Either a b]  ->  FiniteMap (Either a b) 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 a b) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  delFromFM :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
delFromFM EmptyFM del_key = emptyFM
delFromFM (Branch key elt size fm_l fm_r) del_key 
 | del_key > key = 
mkBalBranch key elt fm_l (delFromFM fm_r del_key)
 | del_key < key = 
mkBalBranch key elt (delFromFM fm_l del_key) fm_r
 | key == del_key = 
glueBal fm_l fm_r

  delListFromFM :: Ord b => FiniteMap b a  ->  [b]  ->  FiniteMap b a
delListFromFM fm keys = foldl delFromFM fm keys

  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 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 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 :: (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

  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 _ (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

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


Replaced joker patterns by fresh variables and removed binding patterns.

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

mainModule FiniteMap
  ((delListFromFM :: (Ord c, Ord a) => FiniteMap (Either a c) b  ->  [Either a c]  ->  FiniteMap (Either a c) b) :: (Ord a, Ord c) => FiniteMap (Either a c) b  ->  [Either a c]  ->  FiniteMap (Either a c) 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

  delFromFM :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
delFromFM EmptyFM del_key = emptyFM
delFromFM (Branch key elt size fm_l fm_r) del_key 
 | del_key > key = 
mkBalBranch key elt fm_l (delFromFM fm_r del_key)
 | del_key < key = 
mkBalBranch key elt (delFromFM fm_l del_key) fm_r
 | key == del_key = 
glueBal fm_l fm_r

  delListFromFM :: Ord a => FiniteMap a b  ->  [a]  ->  FiniteMap a b
delListFromFM fm keys = foldl delFromFM fm keys

  deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMax (Branch key elt yv fm_l EmptyFM) = fm_l
deleteMax (Branch key elt yw 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 vvz EmptyFM fm_r) = fm_r
deleteMin (Branch key elt vwu 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 vvv vvw EmptyFM) = (key,elt)
findMax (Branch key elt vvx vvy 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 = 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 (vux,mid_elt1) = mid_elt1
mid_elt2 = mid_elt20 vv3
mid_elt20 (vuy,mid_elt2) = mid_elt2
mid_key1 = mid_key10 vv2
mid_key10 (mid_key1,vuz) = mid_key1
mid_key2 = mid_key20 vv3
mid_key20 (mid_key2,vvu) = mid_key2
vv2 = findMax fm1
vv3 = findMin fm2

  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 zx (Branch key_rl elt_rl zy 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 yy fm_ll (Branch key_lr elt_lr yz 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 zz vuu vuv 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 zu zv zw 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 vuw 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 yx 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

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


Cond Reductions:
The following Function with conditions
mkBalBranch1 fm_L fm_R (Branch zu zv zw 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 zu zv zw fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch zu zv zw fm_ll fm_lr)

mkBalBranch10 fm_L fm_R zu zv zw fm_ll fm_lr True = double_R fm_L fm_R

mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr False = mkBalBranch10 fm_L fm_R zu zv zw fm_ll fm_lr otherwise

mkBalBranch12 fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

The following Function with conditions
mkBalBranch0 fm_L fm_R (Branch zz vuu vuv 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 zz vuu vuv fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr)

mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zz vuu vuv fm_rl fm_rr otherwise

mkBalBranch00 fm_L fm_R zz vuu vuv fm_rl fm_rr True = double_L fm_L fm_R

mkBalBranch02 fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zz vuu vuv 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 zx (Branch key_rl elt_rl zy 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 yy fm_ll (Branch key_lr elt_lr yz 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 zz vuu vuv 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 zu zv zw 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 vuw 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 yx 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 zx (Branch key_rl elt_rl zy 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 yy fm_ll (Branch key_lr elt_lr yz 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 zz vuu vuv fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zz vuu vuv fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zz vuu vuv fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch zu zv zw fm_ll fm_lr)
mkBalBranch10 fm_L fm_R zu zv zw fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr False = mkBalBranch10 fm_L fm_R zu zv zw fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch11 fm_L fm_R zu zv zw 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 vuw 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 yx 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
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 (vux,mid_elt1) = mid_elt1
mid_elt2  = mid_elt20 vv3
mid_elt20 (vuy,mid_elt2) = mid_elt2
mid_key1  = mid_key10 vv2
mid_key10 (mid_key1,vuz) = mid_key1
mid_key2  = mid_key20 vv3
mid_key20 (mid_key2,vvu) = 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 (vux,mid_elt1) = mid_elt1
mid_elt2  = mid_elt20 vv3
mid_elt20 (vuy,mid_elt2) = mid_elt2
mid_key1  = mid_key10 vv2
mid_key10 (mid_key1,vuz) = mid_key1
mid_key2  = mid_key20 vv3
mid_key20 (mid_key2,vvu) = mid_key2
vv2  = findMax fm1
vv3  = findMin fm2

glueBal3 fm1 EmptyFM = fm1
glueBal3 wvv wvw = glueBal2 wvv wvw

glueBal4 EmptyFM fm2 = fm2
glueBal4 wvy wvz = glueBal3 wvy wvz

The following Function with conditions
delFromFM EmptyFM del_key = emptyFM
delFromFM (Branch key elt size fm_l fm_r) del_key
 | del_key > key
 = mkBalBranch key elt fm_l (delFromFM fm_r del_key)
 | del_key < key
 = mkBalBranch key elt (delFromFM fm_l del_key) fm_r
 | key == del_key
 = glueBal fm_l fm_r

is transformed to
delFromFM EmptyFM del_key = delFromFM4 EmptyFM del_key
delFromFM (Branch key elt size fm_l fm_r) del_key = delFromFM3 (Branch key elt size fm_l fm_r) del_key

delFromFM2 key elt size fm_l fm_r del_key True = mkBalBranch key elt fm_l (delFromFM fm_r del_key)
delFromFM2 key elt size fm_l fm_r del_key False = delFromFM1 key elt size fm_l fm_r del_key (del_key < key)

delFromFM1 key elt size fm_l fm_r del_key True = mkBalBranch key elt (delFromFM fm_l del_key) fm_r
delFromFM1 key elt size fm_l fm_r del_key False = delFromFM0 key elt size fm_l fm_r del_key (key == del_key)

delFromFM0 key elt size fm_l fm_r del_key True = glueBal fm_l fm_r

delFromFM3 (Branch key elt size fm_l fm_r) del_key = delFromFM2 key elt size fm_l fm_r del_key (del_key > key)

delFromFM4 EmptyFM del_key = emptyFM
delFromFM4 www wwx = delFromFM3 www wwx

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

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

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

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 wwy = gcd'2 x wwy
gcd' x y = gcd'0 x y

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x wwy = x
gcd'1 wwz wxu wxv = gcd'0 wxu wxv

gcd'2 x wwy = gcd'1 (wwy == 0) x wwy
gcd'2 wxw wxx = gcd'0 wxw wxx

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 wxy wxz = gcd3 wxy wxz
gcd x y = gcd0 x y

gcd0 x y = 
gcd' (abs x) (abs y)
where 
gcd' x wwy = gcd'2 x wwy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x wwy = x
gcd'1 wwz wxu wxv = gcd'0 wxu wxv
gcd'2 x wwy = gcd'1 (wwy == 0) x wwy
gcd'2 wxw wxx = gcd'0 wxw wxx

gcd1 True wxy wxz = error []
gcd1 wyu wyv wyw = gcd0 wyv wyw

gcd2 True wxy wxz = gcd1 (wxz == 0) wxy wxz
gcd2 wyx wyy wyz = gcd0 wyy wyz

gcd3 wxy wxz = gcd2 (wxy == 0) wxy wxz
gcd3 wzu wzv = gcd0 wzu wzv

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
  ((delListFromFM :: (Ord a, Ord c) => FiniteMap (Either c a) b  ->  [Either c a]  ->  FiniteMap (Either c a) b) :: (Ord a, Ord c) => FiniteMap (Either c a) b  ->  [Either c a]  ->  FiniteMap (Either c a) 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

  delFromFM :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
delFromFM EmptyFM del_key = delFromFM4 EmptyFM del_key
delFromFM (Branch key elt size fm_l fm_r) del_key = delFromFM3 (Branch key elt size fm_l fm_r) del_key

  
delFromFM0 key elt size fm_l fm_r del_key True = glueBal fm_l fm_r

  
delFromFM1 key elt size fm_l fm_r del_key True = mkBalBranch key elt (delFromFM fm_l del_key) fm_r
delFromFM1 key elt size fm_l fm_r del_key False = delFromFM0 key elt size fm_l fm_r del_key (key == del_key)

  
delFromFM2 key elt size fm_l fm_r del_key True = mkBalBranch key elt fm_l (delFromFM fm_r del_key)
delFromFM2 key elt size fm_l fm_r del_key False = delFromFM1 key elt size fm_l fm_r del_key (del_key < key)

  
delFromFM3 (Branch key elt size fm_l fm_r) del_key = delFromFM2 key elt size fm_l fm_r del_key (del_key > key)

  
delFromFM4 EmptyFM del_key = emptyFM
delFromFM4 www wwx = delFromFM3 www wwx

  delListFromFM :: Ord b => FiniteMap b a  ->  [b]  ->  FiniteMap b a
delListFromFM fm keys = foldl delFromFM fm keys

  deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMax (Branch key elt yv fm_l EmptyFM) = fm_l
deleteMax (Branch key elt yw 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 vvz EmptyFM fm_r) = fm_r
deleteMin (Branch key elt vwu 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 vvv vvw EmptyFM) = (key,elt)
findMax (Branch key elt vvx vvy 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  ->  b  ->  c  ->  c)  ->  c  ->  FiniteMap a b  ->  c
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 = 
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 (vux,mid_elt1) = mid_elt1
mid_elt2 = mid_elt20 vv3
mid_elt20 (vuy,mid_elt2) = mid_elt2
mid_key1 = mid_key10 vv2
mid_key10 (mid_key1,vuz) = mid_key1
mid_key2 = mid_key20 vv3
mid_key20 (mid_key2,vvu) = mid_key2
vv2 = findMax fm1
vv3 = findMin fm2

  
glueBal3 fm1 EmptyFM = fm1
glueBal3 wvv wvw = glueBal2 wvv wvw

  
glueBal4 EmptyFM fm2 = fm2
glueBal4 wvy wvz = glueBal3 wvy wvz

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
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 zx (Branch key_rl elt_rl zy 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 yy fm_ll (Branch key_lr elt_lr yz 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 zz vuu vuv fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zz vuu vuv fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zz vuu vuv fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch zu zv zw fm_ll fm_lr)
mkBalBranch10 fm_L fm_R zu zv zw fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr False = mkBalBranch10 fm_L fm_R zu zv zw fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch11 fm_L fm_R zu zv zw 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 vuw 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 yx 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

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


Let/Where Reductions:
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
mkBranchBalance_ok wzw wzx wzy = True

mkBranchRight_ok wzw wzx wzy = mkBranchRight_ok0 wzw wzx wzy wzw wzx wzw

mkBranchRight_size wzw wzx wzy = sizeFM wzw

mkBranchUnbox wzw wzx wzy x = x

mkBranchLeft_ok0 wzw wzx wzy fm_l key EmptyFM = True
mkBranchLeft_ok0 wzw wzx wzy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

mkBranchLeft_ok wzw wzx wzy = mkBranchLeft_ok0 wzw wzx wzy wzy wzx wzy

mkBranchLeft_size wzw wzx wzy = sizeFM wzy

mkBranchRight_ok0 wzw wzx wzy fm_r key EmptyFM = True
mkBranchRight_ok0 wzw wzx wzy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

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 wzz xuu xuv xuw = Branch wzz xuu (mkBranchUnbox xuv wzz xuw (1 + mkBranchLeft_size xuv wzz xuw + mkBranchRight_size xuv wzz xuw)) xuw xuv

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 zx (Branch key_rl elt_rl zy 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 yy fm_ll (Branch key_lr elt_lr yz 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 zz vuu vuv fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zz vuu vuv fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zz vuu vuv fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zz vuu vuv fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch zu zv zw fm_ll fm_lr)
mkBalBranch10 fm_L fm_R zu zv zw fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R zu zv zw fm_ll fm_lr False = mkBalBranch10 fm_L fm_R zu zv zw fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch11 fm_L fm_R zu zv zw 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 vuw 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 yx 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
mkBalBranch6Size_r xux xuy xuz xvu = sizeFM xux

mkBalBranch6Double_R xux xuy xuz xvu (Branch key_l elt_l yy fm_ll (Branch key_lr elt_lr yz fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 xuy xuz fm_lrr fm_r)

mkBalBranch6MkBalBranch02 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

mkBalBranch6MkBalBranch0 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr)

mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr True = mkBalBranch6Single_R xux xuy xuz xvu fm_L fm_R
mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr otherwise

mkBalBranch6MkBalBranch5 xux xuy xuz xvu key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch6MkBalBranch5 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R (mkBalBranch6Size_r xux xuy xuz xvu > sIZE_RATIO * mkBalBranch6Size_l xux xuy xuz xvu)

mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xux xuy xuz xvu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xux xuy xuz xvu key elt fm_L fm_R otherwise

mkBalBranch6MkBalBranch10 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr True = mkBalBranch6Double_R xux xuy xuz xvu fm_L fm_R

mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xux xuy xuz xvu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R (mkBalBranch6Size_l xux xuy xuz xvu > sIZE_RATIO * mkBalBranch6Size_r xux xuy xuz xvu)

mkBalBranch6Single_R xux xuy xuz xvu (Branch key_l elt_l yx fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 xuy xuz fm_lr fm_r)

mkBalBranch6Single_L xux xuy xuz xvu fm_l (Branch key_r elt_r vuw fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 xuy xuz fm_l fm_rl) fm_rr

mkBalBranch6Double_L xux xuy xuz xvu fm_l (Branch key_r elt_r zx (Branch key_rl elt_rl zy fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 xuy xuz fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

mkBalBranch6Size_l xux xuy xuz xvu = sizeFM xvu

mkBalBranch6MkBalBranch2 xux xuy xuz xvu key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R

mkBalBranch6MkBalBranch12 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr True = mkBalBranch6Single_L xux xuy xuz xvu fm_L fm_R
mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr otherwise

mkBalBranch6MkBalBranch00 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr True = mkBalBranch6Double_L xux xuy xuz xvu fm_L fm_R

mkBalBranch6MkBalBranch1 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr)

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 (vux,mid_elt1) = mid_elt1
mid_elt2  = mid_elt20 vv3
mid_elt20 (vuy,mid_elt2) = mid_elt2
mid_key1  = mid_key10 vv2
mid_key10 (mid_key1,vuz) = mid_key1
mid_key2  = mid_key20 vv3
mid_key20 (mid_key2,vvu) = mid_key2
vv2  = findMax fm1
vv3  = findMin fm2

are unpacked to the following functions on top level
glueBal2Vv3 xvv xvw = findMin xvv

glueBal2Mid_elt20 xvv xvw (vuy,mid_elt2) = mid_elt2

glueBal2Mid_elt1 xvv xvw = glueBal2Mid_elt10 xvv xvw (glueBal2Vv2 xvv xvw)

glueBal2GlueBal0 xvv xvw fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xvv xvw) (glueBal2Mid_elt1 xvv xvw) (deleteMax fm1) fm2

glueBal2Mid_key20 xvv xvw (mid_key2,vvu) = mid_key2

glueBal2Mid_elt2 xvv xvw = glueBal2Mid_elt20 xvv xvw (glueBal2Vv3 xvv xvw)

glueBal2Mid_key1 xvv xvw = glueBal2Mid_key10 xvv xvw (glueBal2Vv2 xvv xvw)

glueBal2GlueBal1 xvv xvw fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xvv xvw) (glueBal2Mid_elt2 xvv xvw) fm1 (deleteMin fm2)
glueBal2GlueBal1 xvv xvw fm1 fm2 False = glueBal2GlueBal0 xvv xvw fm1 fm2 otherwise

glueBal2Mid_key10 xvv xvw (mid_key1,vuz) = mid_key1

glueBal2Vv2 xvv xvw = findMax xvw

glueBal2Mid_key2 xvv xvw = glueBal2Mid_key20 xvv xvw (glueBal2Vv3 xvv xvw)

glueBal2Mid_elt10 xvv xvw (vux,mid_elt1) = mid_elt1

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 xvx = fst (findMax xvx)

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 xvy = fst (findMin xvy)

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 xvz xwu x y True = error []
reduce2Reduce1 xvz xwu x y False = reduce2Reduce0 xvz xwu x y otherwise

reduce2Reduce0 xvz xwu x y True = x `quot` reduce2D xvz xwu :% (y `quot` reduce2D xvz xwu)

reduce2D xvz xwu = gcd xvz xwu

The bindings of the following Let/Where expression
gcd' (abs x) (abs y)
where 
gcd' x wwy = gcd'2 x wwy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x wwy = x
gcd'1 wwz wxu wxv = gcd'0 wxu wxv
gcd'2 x wwy = gcd'1 (wwy == 0) x wwy
gcd'2 wxw wxx = gcd'0 wxw wxx

are unpacked to the following functions on top level
gcd0Gcd' x wwy = gcd0Gcd'2 x wwy
gcd0Gcd' x y = gcd0Gcd'0 x y

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

gcd0Gcd'2 x wwy = gcd0Gcd'1 (wwy == 0) x wwy
gcd0Gcd'2 wxw wxx = gcd0Gcd'0 wxw wxx

gcd0Gcd'1 True x wwy = x
gcd0Gcd'1 wwz wxu wxv = gcd0Gcd'0 wxu wxv



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

mainModule FiniteMap
  ((delListFromFM :: (Ord a, Ord b) => FiniteMap (Either b a) c  ->  [Either b a]  ->  FiniteMap (Either b a) c) :: (Ord b, Ord a) => FiniteMap (Either b a) c  ->  [Either b a]  ->  FiniteMap (Either b a) 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 a b) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  delFromFM :: Ord a => FiniteMap a b  ->  a  ->  FiniteMap a b
delFromFM EmptyFM del_key = delFromFM4 EmptyFM del_key
delFromFM (Branch key elt size fm_l fm_r) del_key = delFromFM3 (Branch key elt size fm_l fm_r) del_key

  
delFromFM0 key elt size fm_l fm_r del_key True = glueBal fm_l fm_r

  
delFromFM1 key elt size fm_l fm_r del_key True = mkBalBranch key elt (delFromFM fm_l del_key) fm_r
delFromFM1 key elt size fm_l fm_r del_key False = delFromFM0 key elt size fm_l fm_r del_key (key == del_key)

  
delFromFM2 key elt size fm_l fm_r del_key True = mkBalBranch key elt fm_l (delFromFM fm_r del_key)
delFromFM2 key elt size fm_l fm_r del_key False = delFromFM1 key elt size fm_l fm_r del_key (del_key < key)

  
delFromFM3 (Branch key elt size fm_l fm_r) del_key = delFromFM2 key elt size fm_l fm_r del_key (del_key > key)

  
delFromFM4 EmptyFM del_key = emptyFM
delFromFM4 www wwx = delFromFM3 www wwx

  delListFromFM :: Ord b => FiniteMap b a  ->  [b]  ->  FiniteMap b a
delListFromFM fm keys = foldl delFromFM fm keys

  deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMax (Branch key elt yv fm_l EmptyFM) = fm_l
deleteMax (Branch key elt yw 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 vvz EmptyFM fm_r) = fm_r
deleteMin (Branch key elt vwu 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 vvv vvw EmptyFM) = (key,elt)
findMax (Branch key elt vvx vvy 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 :: (b  ->  c  ->  a  ->  a)  ->  a  ->  FiniteMap b c  ->  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 xvv xvw fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xvv xvw) (glueBal2Mid_elt1 xvv xvw) (deleteMax fm1) fm2

  
glueBal2GlueBal1 xvv xvw fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xvv xvw) (glueBal2Mid_elt2 xvv xvw) fm1 (deleteMin fm2)
glueBal2GlueBal1 xvv xvw fm1 fm2 False = glueBal2GlueBal0 xvv xvw fm1 fm2 otherwise

  
glueBal2Mid_elt1 xvv xvw = glueBal2Mid_elt10 xvv xvw (glueBal2Vv2 xvv xvw)

  
glueBal2Mid_elt10 xvv xvw (vux,mid_elt1) = mid_elt1

  
glueBal2Mid_elt2 xvv xvw = glueBal2Mid_elt20 xvv xvw (glueBal2Vv3 xvv xvw)

  
glueBal2Mid_elt20 xvv xvw (vuy,mid_elt2) = mid_elt2

  
glueBal2Mid_key1 xvv xvw = glueBal2Mid_key10 xvv xvw (glueBal2Vv2 xvv xvw)

  
glueBal2Mid_key10 xvv xvw (mid_key1,vuz) = mid_key1

  
glueBal2Mid_key2 xvv xvw = glueBal2Mid_key20 xvv xvw (glueBal2Vv3 xvv xvw)

  
glueBal2Mid_key20 xvv xvw (mid_key2,vvu) = mid_key2

  
glueBal2Vv2 xvv xvw = findMax xvw

  
glueBal2Vv3 xvv xvw = findMin xvv

  
glueBal3 fm1 EmptyFM = fm1
glueBal3 wvv wvw = glueBal2 wvv wvw

  
glueBal4 EmptyFM fm2 = fm2
glueBal4 wvy wvz = glueBal3 wvy wvz

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

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

  
mkBalBranch6Double_L xux xuy xuz xvu fm_l (Branch key_r elt_r zx (Branch key_rl elt_rl zy fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 xuy xuz fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R xux xuy xuz xvu (Branch key_l elt_l yy fm_ll (Branch key_lr elt_lr yz fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 xuy xuz fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr True = mkBalBranch6Double_L xux xuy xuz xvu fm_L fm_R

  
mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr True = mkBalBranch6Single_L xux xuy xuz xvu fm_L fm_R
mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr True = mkBalBranch6Double_R xux xuy xuz xvu fm_L fm_R

  
mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr True = mkBalBranch6Single_R xux xuy xuz xvu fm_L fm_R
mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

  
mkBalBranch6MkBalBranch2 xux xuy xuz xvu key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R

  
mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xux xuy xuz xvu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xux xuy xuz xvu key elt fm_L fm_R otherwise

  
mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xux xuy xuz xvu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R (mkBalBranch6Size_l xux xuy xuz xvu > sIZE_RATIO * mkBalBranch6Size_r xux xuy xuz xvu)

  
mkBalBranch6MkBalBranch5 xux xuy xuz xvu key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch6MkBalBranch5 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R (mkBalBranch6Size_r xux xuy xuz xvu > sIZE_RATIO * mkBalBranch6Size_l xux xuy xuz xvu)

  
mkBalBranch6Single_L xux xuy xuz xvu fm_l (Branch key_r elt_r vuw fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 xuy xuz fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R xux xuy xuz xvu (Branch key_l elt_l yx fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 xuy xuz fm_lr fm_r)

  
mkBalBranch6Size_l xux xuy xuz xvu = sizeFM xvu

  
mkBalBranch6Size_r xux xuy xuz xvu = sizeFM xux

  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 wzw wzx wzy = True

  
mkBranchLeft_ok wzw wzx wzy = mkBranchLeft_ok0 wzw wzx wzy wzy wzx wzy

  
mkBranchLeft_ok0 wzw wzx wzy fm_l key EmptyFM = True
mkBranchLeft_ok0 wzw wzx wzy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key xvx = fst (findMax xvx)

  
mkBranchLeft_size wzw wzx wzy = sizeFM wzy

  
mkBranchResult wzz xuu xuv xuw = Branch wzz xuu (mkBranchUnbox xuv wzz xuw (1 + mkBranchLeft_size xuv wzz xuw + mkBranchRight_size xuv wzz xuw)) xuw xuv

  
mkBranchRight_ok wzw wzx wzy = mkBranchRight_ok0 wzw wzx wzy wzw wzx wzw

  
mkBranchRight_ok0 wzw wzx wzy fm_r key EmptyFM = True
mkBranchRight_ok0 wzw wzx wzy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key xvy = fst (findMin xvy)

  
mkBranchRight_size wzw wzx wzy = sizeFM wzw

  mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  a ( ->  (FiniteMap a b) (Int  ->  Int)))
mkBranchUnbox wzw wzx wzy x = x

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


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
  (delListFromFM :: (Ord b, Ord c) => FiniteMap (Either b c) a  ->  [Either b c]  ->  FiniteMap (Either b c) 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

  delFromFM :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
delFromFM EmptyFM del_key = delFromFM4 EmptyFM del_key
delFromFM (Branch key elt size fm_l fm_r) del_key = delFromFM3 (Branch key elt size fm_l fm_r) del_key

  
delFromFM0 key elt size fm_l fm_r del_key True = glueBal fm_l fm_r

  
delFromFM1 key elt size fm_l fm_r del_key True = mkBalBranch key elt (delFromFM fm_l del_key) fm_r
delFromFM1 key elt size fm_l fm_r del_key False = delFromFM0 key elt size fm_l fm_r del_key (key == del_key)

  
delFromFM2 key elt size fm_l fm_r del_key True = mkBalBranch key elt fm_l (delFromFM fm_r del_key)
delFromFM2 key elt size fm_l fm_r del_key False = delFromFM1 key elt size fm_l fm_r del_key (del_key < key)

  
delFromFM3 (Branch key elt size fm_l fm_r) del_key = delFromFM2 key elt size fm_l fm_r del_key (del_key > key)

  
delFromFM4 EmptyFM del_key = emptyFM
delFromFM4 www wwx = delFromFM3 www wwx

  delListFromFM :: Ord a => FiniteMap a b  ->  [a]  ->  FiniteMap a b
delListFromFM fm keys = foldl delFromFM fm keys

  deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMax (Branch key elt yv fm_l EmptyFM) = fm_l
deleteMax (Branch key elt yw 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 vvz EmptyFM fm_r) = fm_r
deleteMin (Branch key elt vwu 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 vvv vvw EmptyFM) = (key,elt)
findMax (Branch key elt vvx vvy 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 a b  ->  [(a,b)]
fmToList fm = foldFM fmToList0 [] fm

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

  foldFM :: (a  ->  b  ->  c  ->  c)  ->  c  ->  FiniteMap a b  ->  c
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 = glueBal2GlueBal1 fm2 fm1 fm1 fm2 (sizeFM fm2 > sizeFM fm1)

  
glueBal2GlueBal0 xvv xvw fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xvv xvw) (glueBal2Mid_elt1 xvv xvw) (deleteMax fm1) fm2

  
glueBal2GlueBal1 xvv xvw fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xvv xvw) (glueBal2Mid_elt2 xvv xvw) fm1 (deleteMin fm2)
glueBal2GlueBal1 xvv xvw fm1 fm2 False = glueBal2GlueBal0 xvv xvw fm1 fm2 otherwise

  
glueBal2Mid_elt1 xvv xvw = glueBal2Mid_elt10 xvv xvw (glueBal2Vv2 xvv xvw)

  
glueBal2Mid_elt10 xvv xvw (vux,mid_elt1) = mid_elt1

  
glueBal2Mid_elt2 xvv xvw = glueBal2Mid_elt20 xvv xvw (glueBal2Vv3 xvv xvw)

  
glueBal2Mid_elt20 xvv xvw (vuy,mid_elt2) = mid_elt2

  
glueBal2Mid_key1 xvv xvw = glueBal2Mid_key10 xvv xvw (glueBal2Vv2 xvv xvw)

  
glueBal2Mid_key10 xvv xvw (mid_key1,vuz) = mid_key1

  
glueBal2Mid_key2 xvv xvw = glueBal2Mid_key20 xvv xvw (glueBal2Vv3 xvv xvw)

  
glueBal2Mid_key20 xvv xvw (mid_key2,vvu) = mid_key2

  
glueBal2Vv2 xvv xvw = findMax xvw

  
glueBal2Vv3 xvv xvw = findMin xvv

  
glueBal3 fm1 EmptyFM = fm1
glueBal3 wvv wvw = glueBal2 wvv wvw

  
glueBal4 EmptyFM fm2 = fm2
glueBal4 wvy wvz = glueBal3 wvy wvz

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

  
mkBalBranch6Double_L xux xuy xuz xvu fm_l (Branch key_r elt_r zx (Branch key_rl elt_rl zy 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))))))) xuy xuz fm_l fm_rll) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R xux xuy xuz xvu (Branch key_l elt_l yy fm_ll (Branch key_lr elt_lr yz 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))))))))))))) xuy xuz fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr True = mkBalBranch6Double_L xux xuy xuz xvu fm_L fm_R

  
mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr True = mkBalBranch6Single_L xux xuy xuz xvu fm_L fm_R
mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 xux xuy xuz xvu fm_L fm_R (Branch zz vuu vuv fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xux xuy xuz xvu fm_L fm_R zz vuu vuv fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr True = mkBalBranch6Double_R xux xuy xuz xvu fm_L fm_R

  
mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr True = mkBalBranch6Single_R xux xuy xuz xvu fm_L fm_R
mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 xux xuy xuz xvu fm_L fm_R (Branch zu zv zw fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xux xuy xuz xvu fm_L fm_R zu zv zw fm_ll fm_lr (sizeFM fm_lr < Pos (Succ (Succ Zero)) * sizeFM fm_ll)

  
mkBalBranch6MkBalBranch2 xux xuy xuz xvu key elt fm_L fm_R True = mkBranch (Pos (Succ (Succ Zero))) key elt fm_L fm_R

  
mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xux xuy xuz xvu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xux xuy xuz xvu key elt fm_L fm_R otherwise

  
mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xux xuy xuz xvu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xux xuy xuz xvu key elt fm_L fm_R (mkBalBranch6Size_l xux xuy xuz xvu > sIZE_RATIO * mkBalBranch6Size_r xux xuy xuz xvu)

  
mkBalBranch6MkBalBranch5 xux xuy xuz xvu key elt fm_L fm_R True = mkBranch (Pos (Succ Zero)) key elt fm_L fm_R
mkBalBranch6MkBalBranch5 xux xuy xuz xvu key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xux xuy xuz xvu key elt fm_L fm_R (mkBalBranch6Size_r xux xuy xuz xvu > sIZE_RATIO * mkBalBranch6Size_l xux xuy xuz xvu)

  
mkBalBranch6Single_L xux xuy xuz xvu fm_l (Branch key_r elt_r vuw fm_rl fm_rr) = mkBranch (Pos (Succ (Succ (Succ Zero)))) key_r elt_r (mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) xuy xuz fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R xux xuy xuz xvu (Branch key_l elt_l yx 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)))))))))) xuy xuz fm_lr fm_r)

  
mkBalBranch6Size_l xux xuy xuz xvu = sizeFM xvu

  
mkBalBranch6Size_r xux xuy xuz xvu = sizeFM xux

  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 wzw wzx wzy = True

  
mkBranchLeft_ok wzw wzx wzy = mkBranchLeft_ok0 wzw wzx wzy wzy wzx wzy

  
mkBranchLeft_ok0 wzw wzx wzy fm_l key EmptyFM = True
mkBranchLeft_ok0 wzw wzx wzy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key xvx = fst (findMax xvx)

  
mkBranchLeft_size wzw wzx wzy = sizeFM wzy

  
mkBranchResult wzz xuu xuv xuw = Branch wzz xuu (mkBranchUnbox xuv wzz xuw (Pos (Succ Zero) + mkBranchLeft_size xuv wzz xuw + mkBranchRight_size xuv wzz xuw)) xuw xuv

  
mkBranchRight_ok wzw wzx wzy = mkBranchRight_ok0 wzw wzx wzy wzw wzx wzw

  
mkBranchRight_ok0 wzw wzx wzy fm_r key EmptyFM = True
mkBranchRight_ok0 wzw wzx wzy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key xvy = fst (findMin xvy)

  
mkBranchRight_size wzw wzx wzy = sizeFM wzw

  mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  a ( ->  (FiniteMap a b) (Int  ->  Int)))
mkBranchUnbox wzw wzx wzy x = x

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

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


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

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

new_primEqNat(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat(xwv40000, xwv30000)

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

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

new_glueBal2Mid_key20(xwv336, xwv337, xwv338, xwv339, xwv340, xwv341, xwv342, xwv343, xwv344, xwv345, xwv346, xwv347, xwv348, Branch(xwv3490, xwv3491, xwv3492, xwv3493, xwv3494), xwv350, h, ba) → new_glueBal2Mid_key20(xwv336, xwv337, xwv338, xwv339, xwv340, xwv341, xwv342, xwv343, xwv344, xwv345, xwv3490, xwv3491, xwv3492, xwv3493, xwv3494, 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
                                    ↳ 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_glueBal2Mid_elt20(xwv320, xwv321, xwv322, xwv323, xwv324, xwv325, xwv326, xwv327, xwv328, xwv329, xwv330, xwv331, xwv332, Branch(xwv3330, xwv3331, xwv3332, xwv3333, xwv3334), xwv334, h, ba) → new_glueBal2Mid_elt20(xwv320, xwv321, xwv322, xwv323, xwv324, xwv325, xwv326, xwv327, xwv328, xwv329, xwv3330, xwv3331, xwv3332, xwv3333, xwv3334, 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

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

new_glueBal2Mid_key10(xwv399, xwv400, xwv401, xwv402, xwv403, xwv404, xwv405, xwv406, xwv407, xwv408, xwv409, xwv410, xwv411, xwv412, Branch(xwv4130, xwv4131, xwv4132, xwv4133, xwv4134), h, ba) → new_glueBal2Mid_key10(xwv399, xwv400, xwv401, xwv402, xwv403, xwv404, xwv405, xwv406, xwv407, xwv408, xwv4130, xwv4131, xwv4132, xwv4133, xwv4134, 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

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

new_glueBal2Mid_elt10(xwv383, xwv384, xwv385, xwv386, xwv387, xwv388, xwv389, xwv390, xwv391, xwv392, xwv393, xwv394, xwv395, xwv396, Branch(xwv3970, xwv3971, xwv3972, xwv3973, xwv3974), h, ba) → new_glueBal2Mid_elt10(xwv383, xwv384, xwv385, xwv386, xwv387, xwv388, xwv389, xwv390, xwv391, xwv392, xwv3970, xwv3971, xwv3972, xwv3973, xwv3974, 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

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

new_primCmpNat(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat(xwv43000, xwv44000)

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

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

new_primMinusNat(Succ(xwv30200), Succ(xwv30300)) → new_primMinusNat(xwv30200, xwv30300)

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

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

new_primPlusNat(Succ(xwv33200), Succ(xwv13100)) → new_primPlusNat(xwv33200, xwv13100)

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

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

new_primMulNat(Succ(xwv400000), Succ(xwv300000)) → new_primMulNat(xwv400000, Succ(xwv300000))

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

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

new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), hd, app(ty_Maybe, bae)) → new_esEs3(xwv4001, xwv3001, bae)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), app(app(ty_Either, ha), hb), ge) → new_esEs2(xwv4000, xwv3000, ha, hb)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), app(ty_Maybe, cb), bc, bd) → new_esEs3(xwv4000, xwv3000, cb)
new_esEs0(:(xwv4000, xwv4001), :(xwv3000, xwv3001), app(ty_Maybe, fh)) → new_esEs3(xwv4000, xwv3000, fh)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, app(ty_[], cg), bd) → new_esEs0(xwv4001, xwv3001, cg)
new_esEs3(Just(xwv4000), Just(xwv3000), app(app(ty_@2, bdf), bdg)) → new_esEs1(xwv4000, xwv3000, bdf, bdg)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, app(app(ty_@2, da), db), bd) → new_esEs1(xwv4001, xwv3001, da, db)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, bc, app(ty_[], ea)) → new_esEs0(xwv4002, xwv3002, ea)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), app(ty_[], gf), ge) → new_esEs0(xwv4000, xwv3000, gf)
new_esEs0(:(xwv4000, xwv4001), :(xwv3000, xwv3001), app(app(app(ty_@3, eg), eh), fa)) → new_esEs(xwv4000, xwv3000, eg, eh, fa)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), app(ty_Maybe, hc), ge) → new_esEs3(xwv4000, xwv3000, hc)
new_esEs2(Right(xwv4000), Right(xwv3000), bbh, app(app(ty_@2, bce), bcf)) → new_esEs1(xwv4000, xwv3000, bce, bcf)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), app(app(app(ty_@3, h), ba), bb), bc, bd) → new_esEs(xwv4000, xwv3000, h, ba, bb)
new_esEs3(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs(xwv4000, xwv3000, bdb, bdc, bdd)
new_esEs2(Left(xwv4000), Left(xwv3000), app(app(ty_Either, bbe), bbf), bba) → new_esEs2(xwv4000, xwv3000, bbe, bbf)
new_esEs3(Just(xwv4000), Just(xwv3000), app(app(ty_Either, bdh), bea)) → new_esEs2(xwv4000, xwv3000, bdh, bea)
new_esEs3(Just(xwv4000), Just(xwv3000), app(ty_[], bde)) → new_esEs0(xwv4000, xwv3000, bde)
new_esEs2(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, baf), bag), bah), bba) → new_esEs(xwv4000, xwv3000, baf, bag, bah)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), hd, app(ty_[], hh)) → new_esEs0(xwv4001, xwv3001, hh)
new_esEs2(Right(xwv4000), Right(xwv3000), bbh, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs(xwv4000, xwv3000, bca, bcb, bcc)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, bc, app(app(ty_@2, eb), ec)) → new_esEs1(xwv4002, xwv3002, eb, ec)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, app(app(ty_Either, dc), dd), bd) → new_esEs2(xwv4001, xwv3001, dc, dd)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), hd, app(app(ty_@2, baa), bab)) → new_esEs1(xwv4001, xwv3001, baa, bab)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, bc, app(app(ty_Either, ed), ee)) → new_esEs2(xwv4002, xwv3002, ed, ee)
new_esEs0(:(xwv4000, xwv4001), :(xwv3000, xwv3001), app(app(ty_@2, fc), fd)) → new_esEs1(xwv4000, xwv3000, fc, fd)
new_esEs0(:(xwv4000, xwv4001), :(xwv3000, xwv3001), app(app(ty_Either, ff), fg)) → new_esEs2(xwv4000, xwv3000, ff, fg)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, app(app(app(ty_@3, cd), ce), cf), bd) → new_esEs(xwv4001, xwv3001, cd, ce, cf)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, app(ty_Maybe, de), bd) → new_esEs3(xwv4001, xwv3001, de)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), app(app(ty_@2, gg), gh), ge) → new_esEs1(xwv4000, xwv3000, gg, gh)
new_esEs2(Right(xwv4000), Right(xwv3000), bbh, app(ty_[], bcd)) → new_esEs0(xwv4000, xwv3000, bcd)
new_esEs2(Right(xwv4000), Right(xwv3000), bbh, app(app(ty_Either, bcg), bch)) → new_esEs2(xwv4000, xwv3000, bcg, bch)
new_esEs3(Just(xwv4000), Just(xwv3000), app(ty_Maybe, beb)) → new_esEs3(xwv4000, xwv3000, beb)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), app(app(ty_Either, bh), ca), bc, bd) → new_esEs2(xwv4000, xwv3000, bh, ca)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), hd, app(app(ty_Either, bac), bad)) → new_esEs2(xwv4001, xwv3001, bac, bad)
new_esEs2(Right(xwv4000), Right(xwv3000), bbh, app(ty_Maybe, bda)) → new_esEs3(xwv4000, xwv3000, bda)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, bc, app(ty_Maybe, ef)) → new_esEs3(xwv4002, xwv3002, ef)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), app(ty_[], be), bc, bd) → new_esEs0(xwv4000, xwv3000, be)
new_esEs2(Left(xwv4000), Left(xwv3000), app(ty_Maybe, bbg), bba) → new_esEs3(xwv4000, xwv3000, bbg)
new_esEs0(:(xwv4000, xwv4001), :(xwv3000, xwv3001), app(ty_[], fb)) → new_esEs0(xwv4000, xwv3000, fb)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), hd, app(app(app(ty_@3, he), hf), hg)) → new_esEs(xwv4001, xwv3001, he, hf, hg)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), app(app(ty_@2, bf), bg), bc, bd) → new_esEs1(xwv4000, xwv3000, bf, bg)
new_esEs2(Left(xwv4000), Left(xwv3000), app(ty_[], bbb), bba) → new_esEs0(xwv4000, xwv3000, bbb)
new_esEs1(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), app(app(app(ty_@3, gb), gc), gd), ge) → new_esEs(xwv4000, xwv3000, gb, gc, gd)
new_esEs2(Left(xwv4000), Left(xwv3000), app(app(ty_@2, bbc), bbd), bba) → new_esEs1(xwv4000, xwv3000, bbc, bbd)
new_esEs0(:(xwv4000, xwv4001), :(xwv3000, xwv3001), ga) → new_esEs0(xwv4001, xwv3001, ga)
new_esEs(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), cc, bc, app(app(app(ty_@3, df), dg), dh)) → new_esEs(xwv4002, xwv3002, df, dg, dh)

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

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

new_compare(:(xwv43000, xwv43001), :(xwv44000, xwv44001), ef) → new_primCompAux(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, ef), ef)
new_ltEs1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), ef) → new_compare(xwv43001, xwv44001, ef)
new_ltEs3(Left(xwv43000), Left(xwv44000), app(app(ty_Either, bch), bda), bcb) → new_ltEs3(xwv43000, xwv44000, bch, bda)
new_lt(xwv43000, xwv44000, cb, cc) → new_compare20(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, cb, cc), cb, cc)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, app(ty_Maybe, bac), gd) → new_lt2(xwv43001, xwv44001, bac)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, app(app(app(ty_@3, hh), baa), bab), gd) → new_lt1(xwv43001, xwv44001, hh, baa, bab)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, gc, app(app(ty_Either, bbe), bbf)) → new_ltEs3(xwv43002, xwv44002, bbe, bbf)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), dd, app(ty_Maybe, ec)) → new_ltEs(xwv43001, xwv44001, ec)
new_compare22(Left(:(xwv43000, xwv43001)), Left(:(xwv44000, xwv44001)), False, app(ty_[], ef), bbg) → new_compare(xwv43001, xwv44001, ef)
new_ltEs3(Left(xwv43000), Left(xwv44000), app(ty_Maybe, bcg), bcb) → new_ltEs(xwv43000, xwv44000, bcg)
new_ltEs(Just(xwv43000), Just(xwv44000), app(app(ty_@2, ba), bb)) → new_ltEs0(xwv43000, xwv44000, ba, bb)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, dd), app(app(app(ty_@3, dh), ea), eb)), bbg) → new_ltEs2(xwv43001, xwv44001, dh, ea, eb)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, app(app(app(ty_@3, cf), cg), da)), cd), bbg) → new_compare21(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, cf, cg, da), cf, cg, da)
new_compare22(Right(xwv4300), Right(xwv4400), False, bed, app(ty_[], beg)) → new_ltEs1(xwv4300, xwv4400, beg)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, app(app(ty_@2, ga), gb)), gc), gd), bbg) → new_lt(xwv43000, xwv44000, ga, gb)
new_lt3(xwv43000, xwv44000, db, dc) → new_compare22(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, db, dc), db, dc)
new_ltEs(Just(xwv43000), Just(xwv44000), app(app(ty_Either, bh), ca)) → new_ltEs3(xwv43000, xwv44000, bh, ca)
new_primCompAux(xwv43000, xwv44000, xwv182, app(ty_[], fa)) → new_compare(xwv43000, xwv44000, fa)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), gc), app(ty_[], bah)), bbg) → new_ltEs1(xwv43002, xwv44002, bah)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), app(ty_[], ce), cd) → new_compare(xwv43000, xwv44000, ce)
new_lt0(xwv43000, xwv44000, ce) → new_compare(xwv43000, xwv44000, ce)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, gc, app(ty_Maybe, bbd)) → new_ltEs(xwv43002, xwv44002, bbd)
new_primCompAux(xwv43000, xwv44000, xwv182, app(app(ty_Either, fg), fh)) → new_compare5(xwv43000, xwv44000, fg, fh)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, app(app(ty_@2, cb), cc)), cd), bbg) → new_compare20(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, cb, cc), cb, cc)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, app(app(ty_Either, hb), hc)), gc), gd), bbg) → new_lt3(xwv43000, xwv44000, hb, hc)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), app(app(ty_@2, cb), cc), cd) → new_compare20(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, cb, cc), cb, cc)
new_compare22(Left(Right(xwv43000)), Left(Right(xwv44000)), False, app(app(ty_Either, bdb), app(app(ty_Either, beb), bec)), bbg) → new_ltEs3(xwv43000, xwv44000, beb, bec)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, app(ty_[], ge)), gc), gd), bbg) → new_lt0(xwv43000, xwv44000, ge)
new_ltEs3(Right(xwv43000), Right(xwv44000), bdb, app(app(ty_Either, beb), bec)) → new_ltEs3(xwv43000, xwv44000, beb, bec)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, gc, app(ty_[], bah)) → new_ltEs1(xwv43002, xwv44002, bah)
new_compare22(Left(Left(xwv43000)), Left(Left(xwv44000)), False, app(app(ty_Either, app(app(ty_@2, bbh), bca)), bcb), bbg) → new_ltEs0(xwv43000, xwv44000, bbh, bca)
new_compare22(Left(Right(xwv43000)), Left(Right(xwv44000)), False, app(app(ty_Either, bdb), app(ty_Maybe, bea)), bbg) → new_ltEs(xwv43000, xwv44000, bea)
new_lt1(xwv43000, xwv44000, cf, cg, da) → new_compare21(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, cf, cg, da), cf, cg, da)
new_compare22(Left(Just(xwv43000)), Left(Just(xwv44000)), False, app(ty_Maybe, app(app(app(ty_@3, bd), be), bf)), bbg) → new_ltEs2(xwv43000, xwv44000, bd, be, bf)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), app(app(app(ty_@3, gf), gg), gh), gc, gd) → new_lt1(xwv43000, xwv44000, gf, gg, gh)
new_compare22(Left(Right(xwv43000)), Left(Right(xwv44000)), False, app(app(ty_Either, bdb), app(app(ty_@2, bdc), bdd)), bbg) → new_ltEs0(xwv43000, xwv44000, bdc, bdd)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, dd), app(ty_[], dg)), bbg) → new_ltEs1(xwv43001, xwv44001, dg)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), app(app(ty_Either, db), dc), cd) → new_compare22(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, db, dc), db, dc)
new_ltEs(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, bd), be), bf)) → new_ltEs2(xwv43000, xwv44000, bd, be, bf)
new_ltEs(Just(xwv43000), Just(xwv44000), app(ty_[], bc)) → new_ltEs1(xwv43000, xwv44000, bc)
new_primCompAux(xwv43000, xwv44000, xwv182, app(app(app(ty_@3, fb), fc), fd)) → new_compare3(xwv43000, xwv44000, fb, fc, fd)
new_compare22(Right(xwv4300), Right(xwv4400), False, bed, app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs2(xwv4300, xwv4400, beh, bfa, bfb)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), app(ty_[], ge), gc, gd) → new_lt0(xwv43000, xwv44000, ge)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, app(ty_[], ce)), cd), bbg) → new_compare(xwv43000, xwv44000, ce)
new_ltEs3(Left(xwv43000), Left(xwv44000), app(ty_[], bcc), bcb) → new_ltEs1(xwv43000, xwv44000, bcc)
new_ltEs3(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, bcd), bce), bcf), bcb) → new_ltEs2(xwv43000, xwv44000, bcd, bce, bcf)
new_compare0(xwv43000, xwv44000, cb, cc) → new_compare20(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, cb, cc), cb, cc)
new_compare22(Left(Just(xwv43000)), Left(Just(xwv44000)), False, app(ty_Maybe, app(app(ty_Either, bh), ca)), bbg) → new_ltEs3(xwv43000, xwv44000, bh, ca)
new_lt2(xwv43000, xwv44000, h) → new_compare2(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, h), h)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, app(ty_[], hg), gd) → new_lt0(xwv43001, xwv44001, hg)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), gc), app(app(ty_Either, bbe), bbf)), bbg) → new_ltEs3(xwv43002, xwv44002, bbe, bbf)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, dd), app(app(ty_Either, ed), ee)), bbg) → new_ltEs3(xwv43001, xwv44001, ed, ee)
new_compare4(xwv43000, xwv44000, h) → new_compare2(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, h), h)
new_compare21(xwv43000, xwv44000, False, cf, cg, da) → new_ltEs2(xwv43000, xwv44000, cf, cg, da)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), dd, app(app(ty_Either, ed), ee)) → new_ltEs3(xwv43001, xwv44001, ed, ee)
new_ltEs3(Right(xwv43000), Right(xwv44000), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) → new_ltEs2(xwv43000, xwv44000, bdf, bdg, bdh)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, gc, app(app(app(ty_@3, bba), bbb), bbc)) → new_ltEs2(xwv43002, xwv44002, bba, bbb, bbc)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), app(app(ty_@2, he), hf)), gd), bbg) → new_lt(xwv43001, xwv44001, he, hf)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, dd), app(app(ty_@2, de), df)), bbg) → new_ltEs0(xwv43001, xwv44001, de, df)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), app(ty_Maybe, h), cd) → new_compare2(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, h), h)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), app(app(ty_Either, bad), bae)), gd), bbg) → new_lt3(xwv43001, xwv44001, bad, bae)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, app(ty_Maybe, h)), cd), bbg) → new_compare2(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, h), h)
new_compare22(Left(Left(xwv43000)), Left(Left(xwv44000)), False, app(app(ty_Either, app(ty_[], bcc)), bcb), bbg) → new_ltEs1(xwv43000, xwv44000, bcc)
new_compare22(Right(xwv4300), Right(xwv4400), False, bed, app(app(ty_Either, bfd), bfe)) → new_ltEs3(xwv4300, xwv4400, bfd, bfe)
new_compare22(Left(Left(xwv43000)), Left(Left(xwv44000)), False, app(app(ty_Either, app(app(app(ty_@3, bcd), bce), bcf)), bcb), bbg) → new_ltEs2(xwv43000, xwv44000, bcd, bce, bcf)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), app(app(app(ty_@3, cf), cg), da), cd) → new_compare21(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, cf, cg, da), cf, cg, da)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), gc), app(app(ty_@2, baf), bag)), bbg) → new_ltEs0(xwv43002, xwv44002, baf, bag)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), app(app(ty_Either, hb), hc), gc, gd) → new_lt3(xwv43000, xwv44000, hb, hc)
new_primCompAux(xwv43000, xwv44000, xwv182, app(app(ty_@2, eg), eh)) → new_compare0(xwv43000, xwv44000, eg, eh)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), app(ty_[], hg)), gd), bbg) → new_lt0(xwv43001, xwv44001, hg)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, app(ty_Maybe, ha)), gc), gd), bbg) → new_lt2(xwv43000, xwv44000, ha)
new_compare22(Left(:(xwv43000, xwv43001)), Left(:(xwv44000, xwv44001)), False, app(ty_[], ef), bbg) → new_primCompAux(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, ef), ef)
new_ltEs(Just(xwv43000), Just(xwv44000), app(ty_Maybe, bg)) → new_ltEs(xwv43000, xwv44000, bg)
new_compare22(Right(xwv4300), Right(xwv4400), False, bed, app(app(ty_@2, bee), bef)) → new_ltEs0(xwv4300, xwv4400, bee, bef)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), gc), app(app(app(ty_@3, bba), bbb), bbc)), bbg) → new_ltEs2(xwv43002, xwv44002, bba, bbb, bbc)
new_compare22(Left(Left(xwv43000)), Left(Left(xwv44000)), False, app(app(ty_Either, app(app(ty_Either, bch), bda)), bcb), bbg) → new_ltEs3(xwv43000, xwv44000, bch, bda)
new_compare22(Left(Right(xwv43000)), Left(Right(xwv44000)), False, app(app(ty_Either, bdb), app(ty_[], bde)), bbg) → new_ltEs1(xwv43000, xwv44000, bde)
new_compare20(xwv43000, xwv44000, False, cb, cc) → new_ltEs0(xwv43000, xwv44000, cb, cc)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), dd, app(app(app(ty_@3, dh), ea), eb)) → new_ltEs2(xwv43001, xwv44001, dh, ea, eb)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), app(ty_Maybe, ha), gc, gd) → new_lt2(xwv43000, xwv44000, ha)
new_compare22(Left(Just(xwv43000)), Left(Just(xwv44000)), False, app(ty_Maybe, app(ty_[], bc)), bbg) → new_ltEs1(xwv43000, xwv44000, bc)
new_compare22(Right(xwv4300), Right(xwv4400), False, bed, app(ty_Maybe, bfc)) → new_ltEs(xwv4300, xwv4400, bfc)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), app(ty_Maybe, bac)), gd), bbg) → new_lt2(xwv43001, xwv44001, bac)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), dd, app(ty_[], dg)) → new_ltEs1(xwv43001, xwv44001, dg)
new_ltEs0(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), dd, app(app(ty_@2, de), df)) → new_ltEs0(xwv43001, xwv44001, de, df)
new_compare22(Left(Just(xwv43000)), Left(Just(xwv44000)), False, app(ty_Maybe, app(ty_Maybe, bg)), bbg) → new_ltEs(xwv43000, xwv44000, bg)
new_ltEs3(Right(xwv43000), Right(xwv44000), bdb, app(ty_[], bde)) → new_ltEs1(xwv43000, xwv44000, bde)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), app(app(ty_@2, ga), gb), gc, gd) → new_lt(xwv43000, xwv44000, ga, gb)
new_ltEs3(Left(xwv43000), Left(xwv44000), app(app(ty_@2, bbh), bca), bcb) → new_ltEs0(xwv43000, xwv44000, bbh, bca)
new_compare22(Left(Right(xwv43000)), Left(Right(xwv44000)), False, app(app(ty_Either, bdb), app(app(app(ty_@3, bdf), bdg), bdh)), bbg) → new_ltEs2(xwv43000, xwv44000, bdf, bdg, bdh)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, app(app(ty_@2, he), hf), gd) → new_lt(xwv43001, xwv44001, he, hf)
new_compare2(xwv43000, xwv44000, False, h) → new_ltEs(xwv43000, xwv44000, h)
new_compare(:(xwv43000, xwv43001), :(xwv44000, xwv44001), ef) → new_compare(xwv43001, xwv44001, ef)
new_compare5(xwv43000, xwv44000, db, dc) → new_compare22(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, db, dc), db, dc)
new_compare22(Left(Left(xwv43000)), Left(Left(xwv44000)), False, app(app(ty_Either, app(ty_Maybe, bcg)), bcb), bbg) → new_ltEs(xwv43000, xwv44000, bcg)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, app(app(app(ty_@3, gf), gg), gh)), gc), gd), bbg) → new_lt1(xwv43000, xwv44000, gf, gg, gh)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, gc, app(app(ty_@2, baf), bag)) → new_ltEs0(xwv43002, xwv44002, baf, bag)
new_ltEs3(Right(xwv43000), Right(xwv44000), bdb, app(ty_Maybe, bea)) → new_ltEs(xwv43000, xwv44000, bea)
new_primCompAux(xwv43000, xwv44000, xwv182, app(ty_Maybe, ff)) → new_compare4(xwv43000, xwv44000, ff)
new_ltEs2(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, app(app(ty_Either, bad), bae), gd) → new_lt3(xwv43001, xwv44001, bad, bae)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), gc), app(ty_Maybe, bbd)), bbg) → new_ltEs(xwv43002, xwv44002, bbd)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, app(app(ty_Either, db), dc)), cd), bbg) → new_compare22(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, db, dc), db, dc)
new_ltEs3(Right(xwv43000), Right(xwv44000), bdb, app(app(ty_@2, bdc), bdd)) → new_ltEs0(xwv43000, xwv44000, bdc, bdd)
new_compare3(xwv43000, xwv44000, cf, cg, da) → new_compare21(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, cf, cg, da), cf, cg, da)
new_compare22(Left(@2(xwv43000, xwv43001)), Left(@2(xwv44000, xwv44001)), False, app(app(ty_@2, dd), app(ty_Maybe, ec)), bbg) → new_ltEs(xwv43001, xwv44001, ec)
new_ltEs1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), ef) → new_primCompAux(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, ef), ef)
new_compare22(Left(Just(xwv43000)), Left(Just(xwv44000)), False, app(ty_Maybe, app(app(ty_@2, ba), bb)), bbg) → new_ltEs0(xwv43000, xwv44000, ba, bb)
new_compare22(Left(@3(xwv43000, xwv43001, xwv43002)), Left(@3(xwv44000, xwv44001, xwv44002)), False, app(app(app(ty_@3, hd), app(app(app(ty_@3, hh), baa), bab)), gd), bbg) → new_lt1(xwv43001, xwv44001, hh, baa, bab)

The TRS R consists of the following rules:

new_esEs26(xwv4000, xwv3000, app(ty_[], dbe)) → new_esEs8(xwv4000, xwv3000, dbe)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_compare32(xwv43000, xwv44000, app(ty_Ratio, ced)) → new_compare7(xwv43000, xwv44000, ced)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, cda), cdb)) → new_esEs7(xwv4002, xwv3002, cda, cdb)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, cfd), cfe), cee) → new_esEs7(xwv4000, xwv3000, cfd, cfe)
new_lt4(xwv43000, xwv44000, app(ty_[], ge)) → new_lt12(xwv43000, xwv44000, ge)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dg)) → new_ltEs12(xwv43001, xwv44001, dg)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs11(LT, GT) → True
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_compare10(xwv43000, xwv44000, True, cf, cg, da) → LT
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), ef) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, ef), ef)
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_lt20(xwv43000, xwv44000, app(app(ty_Either, db), dc)) → new_lt19(xwv43000, xwv44000, db, dc)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, ha)) → new_lt14(xwv43000, xwv44000, ha)
new_compare110(xwv167, xwv168, True, ceb, cec) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, bcb) → new_ltEs9(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, ccg), cch)) → new_esEs4(xwv4002, xwv3002, ccg, cch)
new_compare25(Right(xwv4300), Left(xwv4400), False, bed, bbg) → GT
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_esEs15(EQ, EQ) → True
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, bhb)) → new_lt10(xwv43001, xwv44001, bhb)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_compare26(xwv43000, xwv44000, False, h) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, h), h)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, cef), ceg), ceh), cee) → new_esEs5(xwv4000, xwv3000, cef, ceg, ceh)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, cee) → new_esEs10(xwv4000, xwv3000)
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, bba), bbb), bbc)) → new_ltEs5(xwv43002, xwv44002, bba, bbb, bbc)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, ec)) → new_ltEs13(xwv43001, xwv44001, ec)
new_ltEs13(Nothing, Just(xwv44000), cdh) → True
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, app(ty_Maybe, bea)) → new_ltEs13(xwv43000, xwv44000, bea)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, cb), cc)) → new_lt8(xwv43000, xwv44000, cb, cc)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, bfc)) → new_ltEs13(xwv4300, xwv4400, bfc)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs9(True, False) → False
new_compare1([], :(xwv44000, xwv44001), ef) → LT
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, bhb)) → new_esEs14(xwv43001, xwv44001, bhb)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) → new_ltEs5(xwv43000, xwv44000, bdf, bdg, bdh)
new_esEs17(True, True) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, bcb) → new_ltEs14(xwv43000, xwv44000)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs5(xwv4000, xwv3000, cga, cgb, cgc)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), bhd, bhe, bhf) → new_asAs(new_esEs21(xwv4000, xwv3000, bhd), new_asAs(new_esEs22(xwv4001, xwv3001, bhe), new_esEs23(xwv4002, xwv3002, bhf)))
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, bch), bda), bcb) → new_ltEs18(xwv43000, xwv44000, bch, bda)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, ccb)) → new_esEs6(xwv4001, xwv3001, ccb)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_compare16(xwv43000, xwv44000, cf, cg, da) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, cf, cg, da), cf, cg, da)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, dde)) → new_esEs6(xwv4001, xwv3001, dde)
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, cca)) → new_esEs14(xwv4001, xwv3001, cca)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, cag)) → new_esEs14(xwv4000, xwv3000, cag)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, bhc)) → new_ltEs10(xwv43002, xwv44002, bhc)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Left(xwv44000), bdb, bcb) → False
new_lt10(xwv43000, xwv44000, ddf) → new_esEs15(new_compare7(xwv43000, xwv44000, ddf), LT)
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, de), df)) → new_ltEs4(xwv43001, xwv44001, de, df)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, gf), gg), gh)) → new_esEs5(xwv43000, xwv44000, gf, gg, gh)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], bcc), bcb) → new_ltEs12(xwv43000, xwv44000, bcc)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, cf), cg), da)) → new_esEs5(xwv43000, xwv44000, cf, cg, da)
new_esEs22(xwv4001, xwv3001, app(ty_[], cbd)) → new_esEs8(xwv4001, xwv3001, cbd)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, cbg), cbh)) → new_esEs7(xwv4001, xwv3001, cbg, cbh)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, eg), eh)) → new_compare15(xwv43000, xwv44000, eg, eh)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, cee) → new_esEs18(xwv4000, xwv3000)
new_lt13(xwv43000, xwv44000, cf, cg, da) → new_esEs15(new_compare16(xwv43000, xwv44000, cf, cg, da), LT)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, app(ty_Maybe, chb)) → new_esEs6(xwv4000, xwv3000, chb)
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_pePe(False, xwv181) → xwv181
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(ty_[], dcg)) → new_esEs8(xwv4001, xwv3001, dcg)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Left(xwv3000), cfh, cee) → False
new_esEs7(Left(xwv4000), Right(xwv3000), cfh, cee) → False
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_compare25(Left(xwv4300), Right(xwv4400), False, bed, bbg) → LT
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, dd), cd)) → new_ltEs4(xwv4300, xwv4400, dd, cd)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, bcd), bce), bcf), bcb) → new_ltEs5(xwv43000, xwv44000, bcd, bce, bcf)
new_compare23(xwv43000, xwv44000, True) → EQ
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, ddb), ddc)) → new_esEs7(xwv4001, xwv3001, ddb, ddc)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, ha)) → new_esEs6(xwv43000, xwv44000, ha)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, cbe), cbf)) → new_esEs4(xwv4001, xwv3001, cbe, cbf)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, cf), cg), da)) → new_lt13(xwv43000, xwv44000, cf, cg, da)
new_compare24(xwv43000, xwv44000, False, cb, cc) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, cb, cc), cb, cc)
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs12(xwv4300, xwv4400, ef) → new_fsEs(new_compare1(xwv4300, xwv4400, ef))
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, hb), hc)) → new_esEs7(xwv43000, xwv44000, hb, hc)
new_esEs15(LT, EQ) → False
new_esEs15(EQ, LT) → False
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_compare15(xwv43000, xwv44000, cb, cc) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, cb, cc), cb, cc)
new_compare111(xwv43000, xwv44000, False) → GT
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_compare111(xwv43000, xwv44000, True) → LT
new_ltEs20(xwv4300, xwv4400, app(ty_[], beg)) → new_ltEs12(xwv4300, xwv4400, beg)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, chd), che), chf)) → new_esEs5(xwv4000, xwv3000, chd, che, chf)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, bee), bef)) → new_ltEs4(xwv4300, xwv4400, bee, bef)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, cee) → new_esEs12(xwv4000, xwv3000)
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_ltEs13(Nothing, Nothing, cdh) → True
new_lt4(xwv43000, xwv44000, app(app(ty_Either, hb), hc)) → new_lt19(xwv43000, xwv44000, hb, hc)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs15(EQ, GT) → False
new_esEs15(GT, EQ) → False
new_esEs20(xwv43001, xwv44001, app(ty_[], hg)) → new_esEs8(xwv43001, xwv44001, hg)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, app(app(ty_Either, beb), bec)) → new_ltEs18(xwv43000, xwv44000, beb, bec)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, ba), bb)) → new_ltEs4(xwv43000, xwv44000, ba, bb)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, bgg)) → new_esEs14(xwv4000, xwv3000, bgg)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, bbe), bbf)) → new_ltEs18(xwv43002, xwv44002, bbe, bbf)
new_lt19(xwv43000, xwv44000, db, dc) → new_esEs15(new_compare12(xwv43000, xwv44000, db, dc), LT)
new_pePe(True, xwv181) → True
new_primEqNat0(Zero, Zero) → True
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), dag) → new_asAs(new_esEs24(xwv4000, xwv3000, dag), new_esEs25(xwv4001, xwv3001, dag))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, bcb) → new_ltEs17(xwv43000, xwv44000)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dcc)) → new_esEs6(xwv4000, xwv3000, dcc)
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), dd, cd) → new_pePe(new_lt20(xwv43000, xwv44000, dd), new_asAs(new_esEs28(xwv43000, xwv44000, dd), new_ltEs21(xwv43001, xwv44001, cd)))
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, bgh)) → new_esEs6(xwv4000, xwv3000, bgh)
new_esEs17(False, False) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_lt5(xwv43001, xwv44001, app(ty_[], hg)) → new_lt12(xwv43001, xwv44001, hg)
new_compare110(xwv167, xwv168, False, ceb, cec) → GT
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, hh), baa), bab)) → new_lt13(xwv43001, xwv44001, hh, baa, bab)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), hd, gc, gd) → new_pePe(new_lt4(xwv43000, xwv44000, hd), new_asAs(new_esEs19(xwv43000, xwv44000, hd), new_pePe(new_lt5(xwv43001, xwv44001, gc), new_asAs(new_esEs20(xwv43001, xwv44001, gc), new_ltEs6(xwv43002, xwv44002, gd)))))
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, app(app(ty_Either, cgg), cgh)) → new_esEs7(xwv4000, xwv3000, cgg, cgh)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, cde, cdf) → LT
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs5(xwv4300, xwv4400, beh, bfa, bfb)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare10(xwv43000, xwv44000, False, cf, cg, da) → GT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, bcb) → new_ltEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], ce)) → new_esEs8(xwv43000, xwv44000, ce)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, bcb) → new_ltEs7(xwv43000, xwv44000)
new_primCmpNat1(Zero, xwv4300) → LT
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_esEs8([], [], bff) → True
new_lt4(xwv43000, xwv44000, app(ty_Ratio, bha)) → new_lt10(xwv43000, xwv44000, bha)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primCompAux0(xwv195, GT) → GT
new_compare13(xwv43000, xwv44000, h) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, h), h)
new_ltEs18(Left(xwv43000), Right(xwv44000), bdb, bcb) → True
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, gf), gg), gh)) → new_lt13(xwv43000, xwv44000, gf, gg, gh)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare24(xwv43000, xwv44000, True, cb, cc) → EQ
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs5(xwv4001, xwv3001, cba, cbb, cbc)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dbh), dca)) → new_esEs7(xwv4000, xwv3000, dbh, dca)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, bfd), bfe)) → new_ltEs18(xwv4300, xwv4400, bfd, bfe)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, ga), gb)) → new_lt8(xwv43000, xwv44000, ga, gb)
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs6(Nothing, Nothing, chc) → True
new_compare112(xwv43000, xwv44000, True) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, bcb) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, bac)) → new_lt14(xwv43001, xwv44001, bac)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, baf), bag)) → new_ltEs4(xwv43002, xwv44002, baf, bag)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(ty_[], ce)) → new_lt12(xwv43000, xwv44000, ce)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, cah)) → new_esEs6(xwv4000, xwv3000, cah)
new_esEs9(xwv4000, xwv3000, app(ty_[], bgb)) → new_esEs8(xwv4000, xwv3000, bgb)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_compare14(xwv43000, xwv44000, False, h) → GT
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, cdg)) → new_ltEs10(xwv4300, xwv4400, cdg)
new_esEs6(Just(xwv4000), Nothing, chc) → False
new_esEs6(Nothing, Just(xwv3000), chc) → False
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_esEs23(xwv4002, xwv3002, app(ty_[], ccf)) → new_esEs8(xwv4002, xwv3002, ccf)
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, cdc)) → new_esEs14(xwv4002, xwv3002, cdc)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_primCompAux1(xwv43000, xwv44000, xwv182, ef) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, ef))
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dea)) → new_ltEs10(xwv43001, xwv44001, dea)
new_lt8(xwv43000, xwv44000, cb, cc) → new_esEs15(new_compare15(xwv43000, xwv44000, cb, cc), LT)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, app(ty_Ratio, cha)) → new_esEs14(xwv4000, xwv3000, cha)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dcd), dce), dcf)) → new_esEs5(xwv4001, xwv3001, dcd, dce, dcf)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dbf), dbg)) → new_esEs4(xwv4000, xwv3000, dbf, dbg)
new_compare32(xwv43000, xwv44000, app(app(ty_Either, fg), fh)) → new_compare12(xwv43000, xwv44000, fg, fh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, app(ty_[], bde)) → new_ltEs12(xwv43000, xwv44000, bde)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, bh), ca)) → new_ltEs18(xwv43000, xwv44000, bh, ca)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, bbh), bca), bcb) → new_ltEs4(xwv43000, xwv44000, bbh, bca)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, bcb) → new_ltEs11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare11(xwv43000, xwv44000, True, cb, cc) → LT
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, fb), fc), fd)) → new_compare16(xwv43000, xwv44000, fb, fc, fd)
new_compare12(xwv43000, xwv44000, db, dc) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, db, dc), db, dc)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), dah, dba) → new_asAs(new_esEs26(xwv4000, xwv3000, dah), new_esEs27(xwv4001, xwv3001, dba))
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, h)) → new_esEs6(xwv43000, xwv44000, h)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs11(GT, LT) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_esEs13(@0, @0) → True
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, db), dc)) → new_esEs7(xwv43000, xwv44000, db, dc)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, bha)) → new_esEs14(xwv43000, xwv44000, bha)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, app(app(ty_@2, bdc), bdd)) → new_ltEs4(xwv43000, xwv44000, bdc, bdd)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs11(LT, EQ) → True
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, app(ty_Ratio, ddh)) → new_ltEs10(xwv43000, xwv44000, ddh)
new_compare17(xwv160, xwv161, False, cde, cdf) → GT
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, ddf)) → new_esEs14(xwv43000, xwv44000, ddf)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_ltEs11(LT, LT) → True
new_compare26(xwv43000, xwv44000, True, h) → EQ
new_primCompAux0(xwv195, LT) → LT
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_not(False) → True
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, cea)) → new_ltEs10(xwv4300, xwv4400, cea)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, cfg), cee) → new_esEs6(xwv4000, xwv3000, cfg)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dcb)) → new_esEs14(xwv4000, xwv3000, dcb)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_compare32(xwv43000, xwv44000, app(ty_[], fa)) → new_compare1(xwv43000, xwv44000, fa)
new_ltEs19(xwv4300, xwv4400, app(ty_[], ef)) → new_ltEs12(xwv4300, xwv4400, ef)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_compare28(xwv43000, xwv44000, True) → EQ
new_ltEs11(GT, GT) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, bdb), bcb)) → new_ltEs18(xwv4300, xwv4400, bdb, bcb)
new_compare11(xwv43000, xwv44000, False, cb, cc) → GT
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, hh), baa), bab)) → new_esEs5(xwv43001, xwv44001, hh, baa, bab)
new_compare32(xwv43000, xwv44000, app(ty_Maybe, ff)) → new_compare13(xwv43000, xwv44000, ff)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(xwv4000, xwv3000, bhg, bhh, caa)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, cff), cee) → new_esEs14(xwv4000, xwv3000, cff)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_lt14(xwv43000, xwv44000, h) → new_esEs15(new_compare13(xwv43000, xwv44000, h), LT)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, cac), cad)) → new_esEs4(xwv4000, xwv3000, cac, cad)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, cee) → new_esEs11(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs9(True, True) → True
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, app(app(ty_@2, cge), cgf)) → new_esEs4(xwv4000, xwv3000, cge, cgf)
new_primEqNat0(Succ(xwv40000), Zero) → False
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_primPlusNat0(Zero, Zero) → Zero
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, bfg), bfh), bga)) → new_esEs5(xwv4000, xwv3000, bfg, bfh, bga)
new_esEs15(LT, GT) → False
new_esEs15(GT, LT) → False
new_compare25(xwv430, xwv440, True, bed, bbg) → EQ
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs9(False, False) → True
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs15(LT, LT) → True
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], cfa), cee) → new_esEs8(xwv4000, xwv3000, cfa)
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dh), ea), eb)) → new_ltEs5(xwv43001, xwv44001, dh, ea, eb)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, cae), caf)) → new_esEs7(xwv4000, xwv3000, cae, caf)
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), bff) → new_asAs(new_esEs9(xwv4000, xwv3000, bff), new_esEs8(xwv4001, xwv3001, bff))
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, ddg), bcb) → new_ltEs10(xwv43000, xwv44000, ddg)
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, cfb), cfc), cee) → new_esEs4(xwv4000, xwv3000, cfb, cfc)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_ltEs11(EQ, EQ) → True
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, bad), bae)) → new_esEs7(xwv43001, xwv44001, bad, bae)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, bg)) → new_ltEs13(xwv43000, xwv44000, bg)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, bgc), bgd)) → new_esEs4(xwv4000, xwv3000, bgc, bgd)
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Nothing, cdh) → False
new_compare27(xwv43000, xwv44000, False, cf, cg, da) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, cf, cg, da), cf, cg, da)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, ddd)) → new_esEs14(xwv4001, xwv3001, ddd)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, bac)) → new_esEs6(xwv43001, xwv44001, bac)
new_compare31(@0, @0) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, cb), cc)) → new_esEs4(xwv43000, xwv44000, cb, cc)
new_asAs(False, xwv95) → False
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, dae)) → new_esEs6(xwv4000, xwv3000, dae)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_ltEs11(EQ, LT) → False
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_primCmpNat2(xwv4300, Zero) → GT
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, chh), daa)) → new_esEs4(xwv4000, xwv3000, chh, daa)
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, daf)) → new_ltEs10(xwv43000, xwv44000, daf)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, bbd)) → new_ltEs13(xwv43002, xwv44002, bbd)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, cdd)) → new_esEs6(xwv4002, xwv3002, cdd)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], bc)) → new_ltEs12(xwv43000, xwv44000, bc)
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_compare14(xwv43000, xwv44000, True, h) → LT
new_lt12(xwv43000, xwv44000, ce) → new_esEs15(new_compare1(xwv43000, xwv44000, ce), LT)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_esEs21(xwv4000, xwv3000, app(ty_[], cab)) → new_esEs8(xwv4000, xwv3000, cab)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, h)) → new_lt14(xwv43000, xwv44000, h)
new_compare25(Left(xwv4300), Left(xwv4400), False, bed, bbg) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bed), bed, bbg)
new_ltEs9(False, True) → True
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, he), hf)) → new_esEs4(xwv43001, xwv44001, he, hf)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, hd), gc), gd)) → new_ltEs5(xwv4300, xwv4400, hd, gc, gd)
new_ltEs6(xwv43002, xwv44002, app(ty_[], bah)) → new_ltEs12(xwv43002, xwv44002, bah)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, dch), dda)) → new_esEs4(xwv4001, xwv3001, dch, dda)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, bad), bae)) → new_lt19(xwv43001, xwv44001, bad, bae)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, cdh)) → new_ltEs13(xwv4300, xwv4400, cdh)
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, bcg), bcb) → new_ltEs13(xwv43000, xwv44000, bcg)
new_compare112(xwv43000, xwv44000, False) → GT
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, cee) → new_esEs17(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, bcb) → new_ltEs8(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs18(Right(xwv43000), Right(xwv44000), bdb, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_esEs7(Right(xwv4000), Right(xwv3000), cfh, app(ty_[], cgd)) → new_esEs8(xwv4000, xwv3000, cgd)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], chg)) → new_esEs8(xwv4000, xwv3000, chg)
new_asAs(True, xwv95) → xwv95
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, dbb), dbc), dbd)) → new_esEs5(xwv4000, xwv3000, dbb, dbc, dbd)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, he), hf)) → new_lt8(xwv43001, xwv44001, he, hf)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, cee) → new_esEs15(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, dab), dac)) → new_esEs7(xwv4000, xwv3000, dab, dac)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, ddf)) → new_lt10(xwv43000, xwv44000, ddf)
new_compare1(:(xwv43000, xwv43001), [], ef) → GT
new_esEs19(xwv43000, xwv44000, app(ty_[], ge)) → new_esEs8(xwv43000, xwv44000, ge)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, bge), bgf)) → new_esEs7(xwv4000, xwv3000, bge, bgf)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, cee) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, cee) → new_esEs13(xwv4000, xwv3000)
new_compare27(xwv43000, xwv44000, True, cf, cg, da) → EQ
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, ed), ee)) → new_ltEs18(xwv43001, xwv44001, ed, ee)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, ccc), ccd), cce)) → new_esEs5(xwv4002, xwv3002, ccc, ccd, cce)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, bd), be), bf)) → new_ltEs5(xwv43000, xwv44000, bd, be, bf)
new_compare25(Right(xwv4300), Right(xwv4400), False, bed, bbg) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bbg), bed, bbg)
new_ltEs10(xwv4300, xwv4400, cdg) → new_fsEs(new_compare7(xwv4300, xwv4400, cdg))
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs15(GT, GT) → True
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, dad)) → new_esEs14(xwv4000, xwv3000, dad)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_primCompAux0(xwv195, EQ) → xwv195
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_ltEs11(EQ, GT) → True
new_esEs8(:(xwv4000, xwv4001), [], bff) → False
new_esEs8([], :(xwv3000, xwv3001), bff) → False
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, ga), gb)) → new_esEs4(xwv43000, xwv44000, ga, gb)
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_not(True) → False
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_compare1([], [], ef) → EQ

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Integer)
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_compare25(x0, x1, True, x2, x3)
new_esEs9(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_compare1([], [], x0)
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs25(x0, x1, ty_Integer)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs13(Just(x0), Nothing, x1)
new_compare110(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs22(x0, x1, ty_Int)
new_lt13(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Double)
new_esEs19(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs8(:(x0, x1), [], x2)
new_lt5(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_compare111(x0, x1, True)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs16(x0, x1)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs26(x0, x1, ty_Int)
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_esEs19(x0, x1, ty_Double)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare10(x0, x1, False, x2, x3, x4)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt4(x0, x1, ty_Ordering)
new_esEs10(Integer(x0), Integer(x1))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, ty_Char)
new_esEs17(False, False)
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs19(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare32(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, ty_Integer)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_compare32(x0, x1, ty_@0)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCmpNat0(Succ(x0), Zero)
new_compare14(x0, x1, True, x2)
new_esEs9(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Succ(x0), x1)
new_fsEs(x0)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_compare30(Double(x0, x1), Double(x2, x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_ltEs19(x0, x1, ty_Float)
new_primMulInt(Pos(x0), Pos(x1))
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs6(x0, x1, app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_compare12(x0, x1, x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_ltEs20(x0, x1, ty_Bool)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare1(:(x0, x1), :(x2, x3), x4)
new_compare32(x0, x1, ty_Bool)
new_ltEs9(False, False)
new_ltEs13(Nothing, Just(x0), x1)
new_esEs27(x0, x1, ty_Int)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primMulNat0(Zero, Zero)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_ltEs15(x0, x1)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Double)
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_esEs6(Just(x0), Nothing, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_primCompAux0(x0, GT)
new_primCompAux0(x0, LT)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_pePe(True, x0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, x2, x3)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_compare15(x0, x1, x2, x3)
new_ltEs21(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_compare19(x0, x1)
new_ltEs21(x0, x1, ty_Double)
new_sr0(x0, x1)
new_compare17(x0, x1, True, x2, x3)
new_lt4(x0, x1, app(ty_[], x2))
new_compare10(x0, x1, True, x2, x3, x4)
new_compare29(Char(x0), Char(x1))
new_ltEs20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Double)
new_lt17(x0, x1)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_compare32(x0, x1, app(ty_[], x2))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_lt12(x0, x1, x2)
new_esEs20(x0, x1, ty_Double)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_lt5(x0, x1, ty_Double)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Ordering)
new_compare11(x0, x1, True, x2, x3)
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_compare110(x0, x1, True, x2, x3)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_compare17(x0, x1, False, x2, x3)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat2(x0, Succ(x1))
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare26(x0, x1, True, x2)
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_esEs23(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs9(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Char)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs15(LT, LT)
new_lt5(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Float)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs27(x0, x1, ty_Integer)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_compare31(@0, @0)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs15(EQ, GT)
new_esEs15(GT, EQ)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_Bool)
new_ltEs9(True, True)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_asAs(False, x0)
new_pePe(False, x0)
new_ltEs20(x0, x1, ty_Ordering)
new_lt8(x0, x1, x2, x3)
new_esEs27(x0, x1, ty_Bool)
new_compare18(Float(x0, x1), Float(x2, x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Bool)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs23(x0, x1, ty_Bool)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs6(Nothing, Nothing, x0)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_lt10(x0, x1, x2)
new_compare9(x0, x1)
new_esEs20(x0, x1, ty_Float)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1)
new_esEs9(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_lt5(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat2(x0, Zero)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt4(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_lt4(x0, x1, ty_Char)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, ty_Char)
new_ltEs12(x0, x1, x2)
new_lt4(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare16(x0, x1, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs28(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Succ(x0), Succ(x1))
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs19(x0, x1, ty_Float)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_compare112(x0, x1, True)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs16(Char(x0), Char(x1))
new_ltEs11(LT, LT)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, ty_Int)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs27(x0, x1, app(ty_[], x2))
new_ltEs11(EQ, LT)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs8([], :(x0, x1), x2)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs22(x0, x1, ty_Float)
new_lt18(x0, x1)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_esEs23(x0, x1, ty_Ordering)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_compare1(:(x0, x1), [], x2)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_compare26(x0, x1, False, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs15(GT, GT)
new_compare24(x0, x1, True, x2, x3)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_esEs19(x0, x1, app(ty_[], x2))
new_compare14(x0, x1, False, x2)
new_esEs22(x0, x1, ty_Bool)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_compare23(x0, x1, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs23(x0, x1, ty_@0)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_compare32(x0, x1, ty_Float)
new_lt11(x0, x1)
new_compare13(x0, x1, x2)
new_compare8(Integer(x0), Integer(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Zero)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Integer)
new_not(True)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Int)
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs15(EQ, EQ)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs8(x0, x1)
new_not(False)
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_compare1([], :(x0, x1), x2)
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_esEs12(x0, x1)
new_lt20(x0, x1, ty_Integer)
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_compare28(x0, x1, True)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_compare11(x0, x1, False, x2, x3)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare32(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Double)
new_esEs28(x0, x1, ty_Char)
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_compare24(x0, x1, False, x2, x3)
new_esEs28(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Double)
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_esEs15(LT, EQ)
new_esEs15(EQ, LT)
new_ltEs6(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs17(True, True)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_compare111(x0, x1, False)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs10(x0, x1, x2)
new_primPlusNat0(Succ(x0), Zero)
new_esEs6(Nothing, Just(x0), x1)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_lt14(x0, x1, x2)
new_lt20(x0, x1, ty_Float)
new_esEs8([], [], x0)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(x0, x1)
new_esEs22(x0, x1, ty_@0)
new_ltEs6(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Double)
new_ltEs13(Nothing, Nothing, x0)
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs11(GT, GT)
new_compare27(x0, x1, True, 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: 



↳ 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

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

new_deleteMin(xwv170, xwv171, xwv172, Branch(xwv1730, xwv1731, xwv1732, xwv1733, xwv1734), xwv174, h, ba, bb) → new_deleteMin(xwv1730, xwv1731, xwv1732, xwv1733, xwv1734, h, ba, 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
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP

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

new_deleteMax(xwv160, xwv161, xwv162, xwv163, Branch(xwv1640, xwv1641, xwv1642, xwv1643, xwv1644), h, ba, bb) → new_deleteMax(xwv1640, xwv1641, xwv1642, xwv1643, xwv1644, h, ba, 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
                                    ↳ DependencyGraphProof
                                  ↳ QDP

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

new_delFromFM(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), bc, bd, be) → new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), False, bc, bd), GT), bc, bd, be)
new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, bc, bd, be) → new_delFromFM11(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), new_esEs7(Right(xwv400), Left(xwv300), bc, bd), bc, bd), LT), bc, bd, be)
new_delFromFM2(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, h, ba, bb) → new_delFromFM(xwv17, Left(xwv18), h, ba, bb)
new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, bc, bd, be) → new_delFromFM10(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), new_esEs7(Left(xwv400), Right(xwv300), bc, bd), bc, bd), LT), bc, bd, be)
new_delFromFM11(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv33, Right(xwv400), bc, bd, be)
new_delFromFM(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), bc, bd, be) → new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), False, bc, bd), GT), bc, bd, be)
new_delFromFM12(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, bf, bg, bh) → new_delFromFM(xwv31, Right(xwv33), bf, bg, bh)
new_delFromFM1(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, h, ba, bb) → new_delFromFM(xwv16, Left(xwv18), h, ba, bb)
new_delFromFM(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), bc, bd, be) → new_delFromFM2(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Left(xwv300), new_esEs29(xwv400, xwv300, bc), bc, bd), GT), bc, bd, be)
new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv34, Right(xwv400), bc, bd, be)
new_delFromFM22(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, bf, bg, bh) → new_delFromFM(xwv32, Right(xwv33), bf, bg, bh)
new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv34, Left(xwv400), bc, bd, be)
new_delFromFM10(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv33, Left(xwv400), bc, bd, be)
new_delFromFM2(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, False, h, ba, bb) → new_delFromFM1(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, new_esEs15(new_compare25(Left(xwv18), Left(xwv13), new_esEs7(Left(xwv18), Left(xwv13), h, ba), h, ba), LT), h, ba, bb)
new_delFromFM(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), bc, bd, be) → new_delFromFM22(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Right(xwv300), new_esEs30(xwv400, xwv300, bd), bc, bd), GT), bc, bd, be)
new_delFromFM22(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, False, bf, bg, bh) → new_delFromFM12(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, new_esEs15(new_compare25(Right(xwv33), Right(xwv28), new_esEs7(Right(xwv33), Right(xwv28), bf, bg), bf, bg), LT), bf, bg, bh)

The TRS R consists of the following rules:

new_esEs30(xwv400, xwv300, app(ty_Maybe, cah)) → new_esEs6(xwv400, xwv300, cah)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, app(ty_[], dad)) → new_esEs8(xwv4000, xwv3000, dad)
new_compare32(xwv43000, xwv44000, app(ty_Ratio, cbc)) → new_compare7(xwv43000, xwv44000, cbc)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, bed), bee)) → new_esEs7(xwv4002, xwv3002, bed, bee)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, cdb), cdc), ccc) → new_esEs7(xwv4000, xwv3000, cdb, cdc)
new_lt4(xwv43000, xwv44000, app(ty_[], eh)) → new_lt12(xwv43000, xwv44000, eh)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dff)) → new_ltEs12(xwv43001, xwv44001, dff)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs11(LT, GT) → True
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_compare10(xwv43000, xwv44000, True, de, df, dg) → LT
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), beh) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, beh), beh)
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_lt20(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_lt19(xwv43000, xwv44000, bad, bae)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_lt14(xwv43000, xwv44000, fd)
new_compare110(xwv167, xwv168, True, bhe, bhf) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, bgb) → new_ltEs9(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, beb), bec)) → new_esEs4(xwv4002, xwv3002, beb, bec)
new_compare25(Right(xwv4300), Left(xwv4400), False, bfc, bfd) → GT
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_esEs15(EQ, EQ) → True
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_lt10(xwv43001, xwv44001, gb)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_primMulNat0(Zero, Zero) → Zero
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_compare26(xwv43000, xwv44000, False, baf) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, baf), baf)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, ccd), cce), ccf), ccc) → new_esEs5(xwv4000, xwv3000, ccd, cce, ccf)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, ccc) → new_esEs10(xwv4000, xwv3000)
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs5(xwv43002, xwv44002, hf, hg, hh)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, dgb)) → new_ltEs13(xwv43001, xwv44001, dgb)
new_ltEs13(Nothing, Just(xwv44000), bfh) → True
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Maybe, deh)) → new_ltEs13(xwv43000, xwv44000, deh)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_lt8(xwv43000, xwv44000, dh, ea)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, bhb)) → new_ltEs13(xwv4300, xwv4400, bhb)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs9(True, False) → False
new_compare1([], :(xwv44000, xwv44001), beh) → LT
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs30(xwv400, xwv300, app(app(ty_Either, cae), caf)) → new_esEs7(xwv400, xwv300, cae, caf)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_esEs14(xwv43001, xwv44001, gb)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(app(ty_@3, dee), def), deg)) → new_ltEs5(xwv43000, xwv44000, dee, def, deg)
new_esEs17(True, True) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, bgb) → new_ltEs14(xwv43000, xwv44000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs5(xwv4000, xwv3000, cdg, cdh, cea)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), bag, bah, bba) → new_asAs(new_esEs21(xwv4000, xwv3000, bag), new_asAs(new_esEs22(xwv4001, xwv3001, bah), new_esEs23(xwv4002, xwv3002, bba)))
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, ddg), ddh), bgb) → new_ltEs18(xwv43000, xwv44000, ddg, ddh)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, bde)) → new_esEs6(xwv4001, xwv3001, bde)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_compare16(xwv43000, xwv44000, de, df, dg) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, dcd)) → new_esEs6(xwv4001, xwv3001, dcd)
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, bdd)) → new_esEs14(xwv4001, xwv3001, bdd)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, bcb)) → new_esEs14(xwv4000, xwv3000, bcb)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, hd)) → new_ltEs10(xwv43002, xwv44002, hd)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Left(xwv44000), bga, bgb) → False
new_lt10(xwv43000, xwv44000, dcf) → new_esEs15(new_compare7(xwv43000, xwv44000, dcf), LT)
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, dfc), dfd)) → new_ltEs4(xwv43001, xwv44001, dfc, dfd)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_esEs5(xwv43000, xwv44000, fa, fb, fc)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], ddb), bgb) → new_ltEs12(xwv43000, xwv44000, ddb)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xwv43000, xwv44000, de, df, dg)
new_esEs22(xwv4001, xwv3001, app(ty_[], bcg)) → new_esEs8(xwv4001, xwv3001, bcg)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, bdb), bdc)) → new_esEs7(xwv4001, xwv3001, bdb, bdc)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, cba), cbb)) → new_compare15(xwv43000, xwv44000, cba, cbb)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, ccc) → new_esEs18(xwv4000, xwv3000)
new_lt13(xwv43000, xwv44000, de, df, dg) → new_esEs15(new_compare16(xwv43000, xwv44000, de, df, dg), LT)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Maybe, ceh)) → new_esEs6(xwv4000, xwv3000, ceh)
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_pePe(False, xwv181) → xwv181
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(ty_[], dbf)) → new_esEs8(xwv4001, xwv3001, dbf)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Left(xwv3000), cdf, ccc) → False
new_esEs7(Left(xwv4000), Right(xwv3000), cdf, ccc) → False
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_compare25(Left(xwv4300), Right(xwv4400), False, bfc, bfd) → LT
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, bfe), bff)) → new_ltEs4(xwv4300, xwv4400, bfe, bff)
new_esEs30(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, ddc), ddd), dde), bgb) → new_ltEs5(xwv43000, xwv44000, ddc, ddd, dde)
new_compare23(xwv43000, xwv44000, True) → EQ
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, dca), dcb)) → new_esEs7(xwv4001, xwv3001, dca, dcb)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_esEs6(xwv43000, xwv44000, fd)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, bch), bda)) → new_esEs4(xwv4001, xwv3001, bch, bda)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_lt13(xwv43000, xwv44000, de, df, dg)
new_compare24(xwv43000, xwv44000, False, dh, ea) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs12(xwv4300, xwv4400, beh) → new_fsEs(new_compare1(xwv4300, xwv4400, beh))
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_esEs7(xwv43000, xwv44000, ff, fg)
new_esEs15(LT, EQ) → False
new_esEs15(EQ, LT) → False
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_compare15(xwv43000, xwv44000, dh, ea) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare111(xwv43000, xwv44000, False) → GT
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_compare111(xwv43000, xwv44000, True) → LT
new_ltEs20(xwv4300, xwv4400, app(ty_[], bgf)) → new_ltEs12(xwv4300, xwv4400, bgf)
new_esEs29(xwv400, xwv300, app(app(ty_@2, cfa), cfb)) → new_esEs4(xwv400, xwv300, cfa, cfb)
new_esEs29(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, cfe), cff), cfg)) → new_esEs5(xwv4000, xwv3000, cfe, cff, cfg)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, bgc), bgd)) → new_ltEs4(xwv4300, xwv4400, bgc, bgd)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, ccc) → new_esEs12(xwv4000, xwv3000)
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_ltEs13(Nothing, Nothing, bfh) → True
new_lt4(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_lt19(xwv43000, xwv44000, ff, fg)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs15(EQ, GT) → False
new_esEs15(GT, EQ) → False
new_esEs20(xwv43001, xwv44001, app(ty_[], gc)) → new_esEs8(xwv43001, xwv44001, gc)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_Either, dfa), dfb)) → new_ltEs18(xwv43000, xwv44000, dfa, dfb)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, cgg), cgh)) → new_ltEs4(xwv43000, xwv44000, cgg, cgh)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, dc)) → new_esEs14(xwv4000, xwv3000, dc)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, bab), bac)) → new_ltEs18(xwv43002, xwv44002, bab, bac)
new_lt19(xwv43000, xwv44000, bad, bae) → new_esEs15(new_compare12(xwv43000, xwv44000, bad, bae), LT)
new_pePe(True, xwv181) → True
new_primEqNat0(Zero, Zero) → True
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), cfc) → new_asAs(new_esEs24(xwv4000, xwv3000, cfc), new_esEs25(xwv4001, xwv3001, cfc))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, bgb) → new_ltEs17(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, app(ty_Maybe, cfd)) → new_esEs6(xwv400, xwv300, cfd)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dbb)) → new_esEs6(xwv4000, xwv3000, dbb)
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), bfe, bff) → new_pePe(new_lt20(xwv43000, xwv44000, bfe), new_asAs(new_esEs28(xwv43000, xwv44000, bfe), new_ltEs21(xwv43001, xwv44001, bff)))
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, dd)) → new_esEs6(xwv4000, xwv3000, dd)
new_esEs17(False, False) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_lt5(xwv43001, xwv44001, app(ty_[], gc)) → new_lt12(xwv43001, xwv44001, gc)
new_compare110(xwv167, xwv168, False, bhe, bhf) → GT
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_lt13(xwv43001, xwv44001, gd, ge, gf)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), eb, ec, ed) → new_pePe(new_lt4(xwv43000, xwv44000, eb), new_asAs(new_esEs19(xwv43000, xwv44000, eb), new_pePe(new_lt5(xwv43001, xwv44001, ec), new_asAs(new_esEs20(xwv43001, xwv44001, ec), new_ltEs6(xwv43002, xwv44002, ed)))))
new_esEs30(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_Either, cee), cef)) → new_esEs7(xwv4000, xwv3000, cee, cef)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, bfa, bfb) → LT
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, bgg), bgh), bha)) → new_ltEs5(xwv4300, xwv4400, bgg, bgh, bha)
new_esEs29(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare10(xwv43000, xwv44000, False, de, df, dg) → GT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, bgb) → new_ltEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], dce)) → new_esEs8(xwv43000, xwv44000, dce)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, bgb) → new_ltEs7(xwv43000, xwv44000)
new_primCmpNat1(Zero, xwv4300) → LT
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_esEs8([], [], ca) → True
new_lt4(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_lt10(xwv43000, xwv44000, eg)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primCompAux0(xwv195, GT) → GT
new_compare13(xwv43000, xwv44000, baf) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, baf), baf)
new_ltEs18(Left(xwv43000), Right(xwv44000), bga, bgb) → True
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_lt13(xwv43000, xwv44000, fa, fb, fc)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare24(xwv43000, xwv44000, True, dh, ea) → EQ
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, bcd), bce), bcf)) → new_esEs5(xwv4001, xwv3001, bcd, bce, bcf)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dag), dah)) → new_esEs7(xwv4000, xwv3000, dag, dah)
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, bhc), bhd)) → new_ltEs18(xwv4300, xwv4400, bhc, bhd)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_lt8(xwv43000, xwv44000, ee, ef)
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs6(Nothing, Nothing, cfd) → True
new_compare112(xwv43000, xwv44000, True) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, bgb) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_lt14(xwv43001, xwv44001, gg)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, hb), hc)) → new_ltEs4(xwv43002, xwv44002, hb, hc)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(ty_[], dce)) → new_lt12(xwv43000, xwv44000, dce)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, bcc)) → new_esEs6(xwv4000, xwv3000, bcc)
new_esEs9(xwv4000, xwv3000, app(ty_[], ce)) → new_esEs8(xwv4000, xwv3000, ce)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_compare14(xwv43000, xwv44000, False, baf) → GT
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, bfg)) → new_ltEs10(xwv4300, xwv4400, bfg)
new_esEs6(Just(xwv4000), Nothing, cfd) → False
new_esEs6(Nothing, Just(xwv3000), cfd) → False
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_esEs23(xwv4002, xwv3002, app(ty_[], bea)) → new_esEs8(xwv4002, xwv3002, bea)
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, bef)) → new_esEs14(xwv4002, xwv3002, bef)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_primCompAux1(xwv43000, xwv44000, xwv182, beh) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, beh))
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dfe)) → new_ltEs10(xwv43001, xwv44001, dfe)
new_lt8(xwv43000, xwv44000, dh, ea) → new_esEs15(new_compare15(xwv43000, xwv44000, dh, ea), LT)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Ratio, ceg)) → new_esEs14(xwv4000, xwv3000, ceg)
new_compare32(xwv43000, xwv44000, app(app(ty_Either, cca), ccb)) → new_compare12(xwv43000, xwv44000, cca, ccb)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dae), daf)) → new_esEs4(xwv4000, xwv3000, dae, daf)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dbc), dbd), dbe)) → new_esEs5(xwv4001, xwv3001, dbc, dbd, dbe)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_[], ded)) → new_ltEs12(xwv43000, xwv44000, ded)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, chg), chh)) → new_ltEs18(xwv43000, xwv44000, chg, chh)
new_esEs30(xwv400, xwv300, app(ty_Ratio, cag)) → new_esEs14(xwv400, xwv300, cag)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_esEs29(xwv400, xwv300, app(ty_[], ca)) → new_esEs8(xwv400, xwv300, ca)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, dcg), dch), bgb) → new_ltEs4(xwv43000, xwv44000, dcg, dch)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, bgb) → new_ltEs11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_esEs29(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare11(xwv43000, xwv44000, True, dh, ea) → LT
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, cbe), cbf), cbg)) → new_compare16(xwv43000, xwv44000, cbe, cbf, cbg)
new_compare12(xwv43000, xwv44000, bad, bae) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, bad, bae), bad, bae)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), cfa, cfb) → new_asAs(new_esEs26(xwv4000, xwv3000, cfa), new_esEs27(xwv4001, xwv3001, cfb))
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_esEs6(xwv43000, xwv44000, baf)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs11(GT, LT) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_esEs13(@0, @0) → True
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_esEs7(xwv43000, xwv44000, bad, bae)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_esEs14(xwv43000, xwv44000, eg)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_@2, dea), deb)) → new_ltEs4(xwv43000, xwv44000, dea, deb)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs11(LT, EQ) → True
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Ratio, dec)) → new_ltEs10(xwv43000, xwv44000, dec)
new_compare17(xwv160, xwv161, False, bfa, bfb) → GT
new_esEs30(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_esEs14(xwv43000, xwv44000, dcf)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs29(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_ltEs11(LT, LT) → True
new_compare26(xwv43000, xwv44000, True, baf) → EQ
new_primCompAux0(xwv195, LT) → LT
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_not(False) → True
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, bge)) → new_ltEs10(xwv4300, xwv4400, bge)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, cde), ccc) → new_esEs6(xwv4000, xwv3000, cde)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dba)) → new_esEs14(xwv4000, xwv3000, dba)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_compare32(xwv43000, xwv44000, app(ty_[], cbd)) → new_compare1(xwv43000, xwv44000, cbd)
new_ltEs19(xwv4300, xwv4400, app(ty_[], beh)) → new_ltEs12(xwv4300, xwv4400, beh)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_ltEs11(GT, GT) → True
new_compare28(xwv43000, xwv44000, True) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, bga), bgb)) → new_ltEs18(xwv4300, xwv4400, bga, bgb)
new_compare11(xwv43000, xwv44000, False, dh, ea) → GT
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_esEs5(xwv43001, xwv44001, gd, ge, gf)
new_compare32(xwv43000, xwv44000, app(ty_Maybe, cbh)) → new_compare13(xwv43000, xwv44000, cbh)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs5(xwv4000, xwv3000, bbb, bbc, bbd)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, cdd), ccc) → new_esEs14(xwv4000, xwv3000, cdd)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_lt14(xwv43000, xwv44000, baf) → new_esEs15(new_compare13(xwv43000, xwv44000, baf), LT)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, bbf), bbg)) → new_esEs4(xwv4000, xwv3000, bbf, bbg)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, ccc) → new_esEs11(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs9(True, True) → True
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_@2, cec), ced)) → new_esEs4(xwv4000, xwv3000, cec, ced)
new_primEqNat0(Succ(xwv40000), Zero) → False
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_primPlusNat0(Zero, Zero) → Zero
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, cb), cc), cd)) → new_esEs5(xwv4000, xwv3000, cb, cc, cd)
new_esEs15(LT, GT) → False
new_esEs15(GT, LT) → False
new_compare25(xwv430, xwv440, True, bfc, bfd) → EQ
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs9(False, False) → True
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs15(LT, LT) → True
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], ccg), ccc) → new_esEs8(xwv4000, xwv3000, ccg)
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dfg), dfh), dga)) → new_ltEs5(xwv43001, xwv44001, dfg, dfh, dga)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, bbh), bca)) → new_esEs7(xwv4000, xwv3000, bbh, bca)
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), ca) → new_asAs(new_esEs9(xwv4000, xwv3000, ca), new_esEs8(xwv4001, xwv3001, ca))
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, dda), bgb) → new_ltEs10(xwv43000, xwv44000, dda)
new_esEs29(xwv400, xwv300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xwv400, xwv300, bag, bah, bba)
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, cch), cda), ccc) → new_esEs4(xwv4000, xwv3000, cch, cda)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_ltEs11(EQ, EQ) → True
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_esEs7(xwv43001, xwv44001, gh, ha)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, chf)) → new_ltEs13(xwv43000, xwv44000, chf)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, cf), cg)) → new_esEs4(xwv4000, xwv3000, cf, cg)
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Nothing, bfh) → False
new_compare27(xwv43000, xwv44000, False, de, df, dg) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, dcc)) → new_esEs14(xwv4001, xwv3001, dcc)
new_esEs29(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_esEs6(xwv43001, xwv44001, gg)
new_compare31(@0, @0) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_esEs4(xwv43000, xwv44000, dh, ea)
new_asAs(False, xwv95) → False
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, cgf)) → new_esEs6(xwv4000, xwv3000, cgf)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_ltEs11(EQ, LT) → False
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs29(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_primCmpNat2(xwv4300, Zero) → GT
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, cga), cgb)) → new_esEs4(xwv4000, xwv3000, cga, cgb)
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, cha)) → new_ltEs10(xwv43000, xwv44000, cha)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, baa)) → new_ltEs13(xwv43002, xwv44002, baa)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, beg)) → new_esEs6(xwv4002, xwv3002, beg)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], chb)) → new_ltEs12(xwv43000, xwv44000, chb)
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_compare14(xwv43000, xwv44000, True, baf) → LT
new_lt12(xwv43000, xwv44000, dce) → new_esEs15(new_compare1(xwv43000, xwv44000, dce), LT)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_esEs21(xwv4000, xwv3000, app(ty_[], bbe)) → new_esEs8(xwv4000, xwv3000, bbe)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_lt14(xwv43000, xwv44000, baf)
new_compare25(Left(xwv4300), Left(xwv4400), False, bfc, bfd) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bfc), bfc, bfd)
new_ltEs9(False, True) → True
new_esEs30(xwv400, xwv300, app(ty_[], cab)) → new_esEs8(xwv400, xwv300, cab)
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_esEs4(xwv43001, xwv44001, fh, ga)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs5(xwv4300, xwv4400, eb, ec, ed)
new_ltEs6(xwv43002, xwv44002, app(ty_[], he)) → new_ltEs12(xwv43002, xwv44002, he)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, dbg), dbh)) → new_esEs4(xwv4001, xwv3001, dbg, dbh)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_lt19(xwv43001, xwv44001, gh, ha)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, bfh)) → new_ltEs13(xwv4300, xwv4400, bfh)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, ddf), bgb) → new_ltEs13(xwv43000, xwv44000, ddf)
new_compare112(xwv43000, xwv44000, False) → GT
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, app(app(ty_Either, cdf), ccc)) → new_esEs7(xwv400, xwv300, cdf, ccc)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, ccc) → new_esEs17(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_esEs29(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, bgb) → new_ltEs8(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_[], ceb)) → new_esEs8(xwv4000, xwv3000, ceb)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], cfh)) → new_esEs8(xwv4000, xwv3000, cfh)
new_asAs(True, xwv95) → xwv95
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, daa), dab), dac)) → new_esEs5(xwv4000, xwv3000, daa, dab, dac)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_lt8(xwv43001, xwv44001, fh, ga)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, ccc) → new_esEs15(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, cgc), cgd)) → new_esEs7(xwv4000, xwv3000, cgc, cgd)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_lt10(xwv43000, xwv44000, dcf)
new_compare1(:(xwv43000, xwv43001), [], beh) → GT
new_esEs19(xwv43000, xwv44000, app(ty_[], eh)) → new_esEs8(xwv43000, xwv44000, eh)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, da), db)) → new_esEs7(xwv4000, xwv3000, da, db)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, ccc) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, ccc) → new_esEs13(xwv4000, xwv3000)
new_compare27(xwv43000, xwv44000, True, de, df, dg) → EQ
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, dgc), dgd)) → new_ltEs18(xwv43001, xwv44001, dgc, dgd)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs5(xwv4002, xwv3002, bdf, bdg, bdh)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(xwv43000, xwv44000, chc, chd, che)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare25(Right(xwv4300), Right(xwv4400), False, bfc, bfd) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bfd), bfc, bfd)
new_ltEs10(xwv4300, xwv4400, bfg) → new_fsEs(new_compare7(xwv4300, xwv4400, bfg))
new_esEs29(xwv400, xwv300, app(ty_Ratio, cfc)) → new_esEs14(xwv400, xwv300, cfc)
new_esEs30(xwv400, xwv300, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(xwv400, xwv300, bhg, bhh, caa)
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs15(GT, GT) → True
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, cge)) → new_esEs14(xwv4000, xwv3000, cge)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_primCompAux0(xwv195, EQ) → xwv195
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_ltEs11(EQ, GT) → True
new_esEs8(:(xwv4000, xwv4001), [], ca) → False
new_esEs8([], :(xwv3000, xwv3001), ca) → False
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_esEs4(xwv43000, xwv44000, ee, ef)
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs30(xwv400, xwv300, app(app(ty_@2, cac), cad)) → new_esEs4(xwv400, xwv300, cac, cad)
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_not(True) → False
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_compare1([], [], beh) → EQ

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_ltEs6(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare10(x0, x1, False, x2, x3, x4)
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare11(x0, x1, True, x2, x3)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(ty_[], x2))
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_esEs29(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs22(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs19(x0, x1, ty_Integer)
new_lt10(x0, x1, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs29(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_compare111(x0, x1, True)
new_ltEs16(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs26(x0, x1, ty_Int)
new_ltEs12(x0, x1, x2)
new_esEs22(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt4(x0, x1, ty_Ordering)
new_esEs10(Integer(x0), Integer(x1))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, x2)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Char)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(False, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, True, x2, x3)
new_esEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Double)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs6(Nothing, Nothing, x0)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, ty_@0)
new_primCmpNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_primPlusNat1(Succ(x0), x1)
new_fsEs(x0)
new_compare30(Double(x0, x1), Double(x2, x3))
new_primEqNat0(Zero, Zero)
new_ltEs19(x0, x1, ty_Float)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs30(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Pos(x0), Pos(x1))
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_compare32(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, True, x2)
new_compare25(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs9(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Zero)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_sr(Integer(x0), Integer(x1))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs15(x0, x1)
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt4(x0, x1, ty_Double)
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primCompAux0(x0, GT)
new_primCompAux0(x0, LT)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_[], x2))
new_pePe(True, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_@0)
new_compare14(x0, x1, True, x2)
new_ltEs13(Nothing, Nothing, x0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare32(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_compare19(x0, x1)
new_ltEs21(x0, x1, ty_Double)
new_sr0(x0, x1)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_compare29(Char(x0), Char(x1))
new_compare16(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Double)
new_lt17(x0, x1)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Double)
new_esEs8([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_lt5(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_primCmpNat2(x0, Succ(x1))
new_ltEs21(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs30(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Int)
new_compare1(:(x0, x1), [], x2)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs30(x0, x1, ty_@0)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs6(Just(x0), Nothing, x1)
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(LT, LT)
new_lt5(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1([], [], x0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs27(x0, x1, ty_Integer)
new_lt14(x0, x1, x2)
new_compare26(x0, x1, False, x2)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_compare31(@0, @0)
new_esEs15(EQ, GT)
new_esEs15(GT, EQ)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_Bool)
new_ltEs9(True, True)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_asAs(False, x0)
new_pePe(False, x0)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Nothing, Just(x0), x1)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, True, x2, x3)
new_compare18(Float(x0, x1), Float(x2, x3))
new_esEs30(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_lt19(x0, x1, x2, x3)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_esEs23(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs20(x0, x1, ty_Float)
new_compare12(x0, x1, x2, x3)
new_ltEs10(x0, x1, x2)
new_lt9(x0, x1)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primCmpNat2(x0, Zero)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Char)
new_compare17(x0, x1, False, x2, x3)
new_lt4(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_compare24(x0, x1, False, x2, x3)
new_esEs23(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_compare14(x0, x1, False, x2)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), Succ(x1))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True)
new_esEs16(Char(x0), Char(x1))
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs11(LT, LT)
new_esEs8([], [], x0)
new_esEs21(x0, x1, ty_Int)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs11(EQ, LT)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, x2, x3)
new_ltEs13(Just(x0), Nothing, x1)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt18(x0, x1)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Just(x0), x1)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Succ(x0))
new_compare110(x0, x1, False, x2, x3)
new_esEs15(GT, GT)
new_lt12(x0, x1, x2)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_lt8(x0, x1, x2, x3)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_compare23(x0, x1, False)
new_esEs23(x0, x1, ty_@0)
new_compare27(x0, x1, False, x2, x3, x4)
new_lt11(x0, x1)
new_compare32(x0, x1, ty_Float)
new_lt13(x0, x1, x2, x3, x4)
new_compare8(Integer(x0), Integer(x1))
new_esEs30(x0, x1, ty_Double)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Zero)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_not(True)
new_esEs24(x0, x1, ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_lt4(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs15(EQ, EQ)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs8(x0, x1)
new_not(False)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs12(x0, x1)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Integer)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_compare28(x0, x1, True)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, ty_Int)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_compare1([], :(x0, x1), x2)
new_esEs28(x0, x1, ty_Char)
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(LT, EQ)
new_esEs15(EQ, LT)
new_ltEs6(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs17(True, True)
new_compare17(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Int)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare111(x0, x1, False)
new_compare10(x0, x1, True, x2, x3, x4)
new_primPlusNat0(Succ(x0), Zero)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Float)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(x0, x1)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs6(x0, x1, ty_@0)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs8(:(x0, x1), [], x2)
new_esEs9(x0, x1, ty_Double)
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_ltEs11(GT, GT)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs.

↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                        ↳ QDP
                                  ↳ QDP

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

new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv34, Right(xwv400), bc, bd, be)
new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, bc, bd, be) → new_delFromFM11(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), new_esEs7(Right(xwv400), Left(xwv300), bc, bd), bc, bd), LT), bc, bd, be)
new_delFromFM22(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, bf, bg, bh) → new_delFromFM(xwv32, Right(xwv33), bf, bg, bh)
new_delFromFM11(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv33, Right(xwv400), bc, bd, be)
new_delFromFM(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), bc, bd, be) → new_delFromFM22(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Right(xwv300), new_esEs30(xwv400, xwv300, bd), bc, bd), GT), bc, bd, be)
new_delFromFM(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), bc, bd, be) → new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), False, bc, bd), GT), bc, bd, be)
new_delFromFM12(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, bf, bg, bh) → new_delFromFM(xwv31, Right(xwv33), bf, bg, bh)
new_delFromFM22(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, False, bf, bg, bh) → new_delFromFM12(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, new_esEs15(new_compare25(Right(xwv33), Right(xwv28), new_esEs7(Right(xwv33), Right(xwv28), bf, bg), bf, bg), LT), bf, bg, bh)

The TRS R consists of the following rules:

new_esEs30(xwv400, xwv300, app(ty_Maybe, cah)) → new_esEs6(xwv400, xwv300, cah)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, app(ty_[], dad)) → new_esEs8(xwv4000, xwv3000, dad)
new_compare32(xwv43000, xwv44000, app(ty_Ratio, cbc)) → new_compare7(xwv43000, xwv44000, cbc)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, bed), bee)) → new_esEs7(xwv4002, xwv3002, bed, bee)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, cdb), cdc), ccc) → new_esEs7(xwv4000, xwv3000, cdb, cdc)
new_lt4(xwv43000, xwv44000, app(ty_[], eh)) → new_lt12(xwv43000, xwv44000, eh)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dff)) → new_ltEs12(xwv43001, xwv44001, dff)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs11(LT, GT) → True
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_compare10(xwv43000, xwv44000, True, de, df, dg) → LT
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), beh) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, beh), beh)
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_lt20(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_lt19(xwv43000, xwv44000, bad, bae)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_lt14(xwv43000, xwv44000, fd)
new_compare110(xwv167, xwv168, True, bhe, bhf) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, bgb) → new_ltEs9(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, beb), bec)) → new_esEs4(xwv4002, xwv3002, beb, bec)
new_compare25(Right(xwv4300), Left(xwv4400), False, bfc, bfd) → GT
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_esEs15(EQ, EQ) → True
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_lt10(xwv43001, xwv44001, gb)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_primMulNat0(Zero, Zero) → Zero
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_compare26(xwv43000, xwv44000, False, baf) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, baf), baf)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, ccd), cce), ccf), ccc) → new_esEs5(xwv4000, xwv3000, ccd, cce, ccf)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, ccc) → new_esEs10(xwv4000, xwv3000)
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs5(xwv43002, xwv44002, hf, hg, hh)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, dgb)) → new_ltEs13(xwv43001, xwv44001, dgb)
new_ltEs13(Nothing, Just(xwv44000), bfh) → True
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Maybe, deh)) → new_ltEs13(xwv43000, xwv44000, deh)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_lt8(xwv43000, xwv44000, dh, ea)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, bhb)) → new_ltEs13(xwv4300, xwv4400, bhb)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs9(True, False) → False
new_compare1([], :(xwv44000, xwv44001), beh) → LT
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs30(xwv400, xwv300, app(app(ty_Either, cae), caf)) → new_esEs7(xwv400, xwv300, cae, caf)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_esEs14(xwv43001, xwv44001, gb)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(app(ty_@3, dee), def), deg)) → new_ltEs5(xwv43000, xwv44000, dee, def, deg)
new_esEs17(True, True) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, bgb) → new_ltEs14(xwv43000, xwv44000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs5(xwv4000, xwv3000, cdg, cdh, cea)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), bag, bah, bba) → new_asAs(new_esEs21(xwv4000, xwv3000, bag), new_asAs(new_esEs22(xwv4001, xwv3001, bah), new_esEs23(xwv4002, xwv3002, bba)))
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, ddg), ddh), bgb) → new_ltEs18(xwv43000, xwv44000, ddg, ddh)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, bde)) → new_esEs6(xwv4001, xwv3001, bde)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_compare16(xwv43000, xwv44000, de, df, dg) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, dcd)) → new_esEs6(xwv4001, xwv3001, dcd)
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, bdd)) → new_esEs14(xwv4001, xwv3001, bdd)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, bcb)) → new_esEs14(xwv4000, xwv3000, bcb)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, hd)) → new_ltEs10(xwv43002, xwv44002, hd)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Left(xwv44000), bga, bgb) → False
new_lt10(xwv43000, xwv44000, dcf) → new_esEs15(new_compare7(xwv43000, xwv44000, dcf), LT)
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, dfc), dfd)) → new_ltEs4(xwv43001, xwv44001, dfc, dfd)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_esEs5(xwv43000, xwv44000, fa, fb, fc)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], ddb), bgb) → new_ltEs12(xwv43000, xwv44000, ddb)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xwv43000, xwv44000, de, df, dg)
new_esEs22(xwv4001, xwv3001, app(ty_[], bcg)) → new_esEs8(xwv4001, xwv3001, bcg)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, bdb), bdc)) → new_esEs7(xwv4001, xwv3001, bdb, bdc)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, cba), cbb)) → new_compare15(xwv43000, xwv44000, cba, cbb)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, ccc) → new_esEs18(xwv4000, xwv3000)
new_lt13(xwv43000, xwv44000, de, df, dg) → new_esEs15(new_compare16(xwv43000, xwv44000, de, df, dg), LT)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Maybe, ceh)) → new_esEs6(xwv4000, xwv3000, ceh)
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_pePe(False, xwv181) → xwv181
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(ty_[], dbf)) → new_esEs8(xwv4001, xwv3001, dbf)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Left(xwv3000), cdf, ccc) → False
new_esEs7(Left(xwv4000), Right(xwv3000), cdf, ccc) → False
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_compare25(Left(xwv4300), Right(xwv4400), False, bfc, bfd) → LT
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, bfe), bff)) → new_ltEs4(xwv4300, xwv4400, bfe, bff)
new_esEs30(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, ddc), ddd), dde), bgb) → new_ltEs5(xwv43000, xwv44000, ddc, ddd, dde)
new_compare23(xwv43000, xwv44000, True) → EQ
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, dca), dcb)) → new_esEs7(xwv4001, xwv3001, dca, dcb)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_esEs6(xwv43000, xwv44000, fd)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, bch), bda)) → new_esEs4(xwv4001, xwv3001, bch, bda)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_lt13(xwv43000, xwv44000, de, df, dg)
new_compare24(xwv43000, xwv44000, False, dh, ea) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs12(xwv4300, xwv4400, beh) → new_fsEs(new_compare1(xwv4300, xwv4400, beh))
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_esEs7(xwv43000, xwv44000, ff, fg)
new_esEs15(LT, EQ) → False
new_esEs15(EQ, LT) → False
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_compare15(xwv43000, xwv44000, dh, ea) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare111(xwv43000, xwv44000, False) → GT
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_compare111(xwv43000, xwv44000, True) → LT
new_ltEs20(xwv4300, xwv4400, app(ty_[], bgf)) → new_ltEs12(xwv4300, xwv4400, bgf)
new_esEs29(xwv400, xwv300, app(app(ty_@2, cfa), cfb)) → new_esEs4(xwv400, xwv300, cfa, cfb)
new_esEs29(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, cfe), cff), cfg)) → new_esEs5(xwv4000, xwv3000, cfe, cff, cfg)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, bgc), bgd)) → new_ltEs4(xwv4300, xwv4400, bgc, bgd)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, ccc) → new_esEs12(xwv4000, xwv3000)
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_ltEs13(Nothing, Nothing, bfh) → True
new_lt4(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_lt19(xwv43000, xwv44000, ff, fg)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs15(EQ, GT) → False
new_esEs15(GT, EQ) → False
new_esEs20(xwv43001, xwv44001, app(ty_[], gc)) → new_esEs8(xwv43001, xwv44001, gc)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_Either, dfa), dfb)) → new_ltEs18(xwv43000, xwv44000, dfa, dfb)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, cgg), cgh)) → new_ltEs4(xwv43000, xwv44000, cgg, cgh)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, dc)) → new_esEs14(xwv4000, xwv3000, dc)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, bab), bac)) → new_ltEs18(xwv43002, xwv44002, bab, bac)
new_lt19(xwv43000, xwv44000, bad, bae) → new_esEs15(new_compare12(xwv43000, xwv44000, bad, bae), LT)
new_pePe(True, xwv181) → True
new_primEqNat0(Zero, Zero) → True
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), cfc) → new_asAs(new_esEs24(xwv4000, xwv3000, cfc), new_esEs25(xwv4001, xwv3001, cfc))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, bgb) → new_ltEs17(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, app(ty_Maybe, cfd)) → new_esEs6(xwv400, xwv300, cfd)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dbb)) → new_esEs6(xwv4000, xwv3000, dbb)
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), bfe, bff) → new_pePe(new_lt20(xwv43000, xwv44000, bfe), new_asAs(new_esEs28(xwv43000, xwv44000, bfe), new_ltEs21(xwv43001, xwv44001, bff)))
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, dd)) → new_esEs6(xwv4000, xwv3000, dd)
new_esEs17(False, False) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_lt5(xwv43001, xwv44001, app(ty_[], gc)) → new_lt12(xwv43001, xwv44001, gc)
new_compare110(xwv167, xwv168, False, bhe, bhf) → GT
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_lt13(xwv43001, xwv44001, gd, ge, gf)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), eb, ec, ed) → new_pePe(new_lt4(xwv43000, xwv44000, eb), new_asAs(new_esEs19(xwv43000, xwv44000, eb), new_pePe(new_lt5(xwv43001, xwv44001, ec), new_asAs(new_esEs20(xwv43001, xwv44001, ec), new_ltEs6(xwv43002, xwv44002, ed)))))
new_esEs30(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_Either, cee), cef)) → new_esEs7(xwv4000, xwv3000, cee, cef)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, bfa, bfb) → LT
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, bgg), bgh), bha)) → new_ltEs5(xwv4300, xwv4400, bgg, bgh, bha)
new_esEs29(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare10(xwv43000, xwv44000, False, de, df, dg) → GT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, bgb) → new_ltEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], dce)) → new_esEs8(xwv43000, xwv44000, dce)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, bgb) → new_ltEs7(xwv43000, xwv44000)
new_primCmpNat1(Zero, xwv4300) → LT
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_esEs8([], [], ca) → True
new_lt4(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_lt10(xwv43000, xwv44000, eg)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primCompAux0(xwv195, GT) → GT
new_compare13(xwv43000, xwv44000, baf) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, baf), baf)
new_ltEs18(Left(xwv43000), Right(xwv44000), bga, bgb) → True
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_lt13(xwv43000, xwv44000, fa, fb, fc)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare24(xwv43000, xwv44000, True, dh, ea) → EQ
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, bcd), bce), bcf)) → new_esEs5(xwv4001, xwv3001, bcd, bce, bcf)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dag), dah)) → new_esEs7(xwv4000, xwv3000, dag, dah)
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, bhc), bhd)) → new_ltEs18(xwv4300, xwv4400, bhc, bhd)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_lt8(xwv43000, xwv44000, ee, ef)
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs6(Nothing, Nothing, cfd) → True
new_compare112(xwv43000, xwv44000, True) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, bgb) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_lt14(xwv43001, xwv44001, gg)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, hb), hc)) → new_ltEs4(xwv43002, xwv44002, hb, hc)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(ty_[], dce)) → new_lt12(xwv43000, xwv44000, dce)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, bcc)) → new_esEs6(xwv4000, xwv3000, bcc)
new_esEs9(xwv4000, xwv3000, app(ty_[], ce)) → new_esEs8(xwv4000, xwv3000, ce)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_compare14(xwv43000, xwv44000, False, baf) → GT
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, bfg)) → new_ltEs10(xwv4300, xwv4400, bfg)
new_esEs6(Just(xwv4000), Nothing, cfd) → False
new_esEs6(Nothing, Just(xwv3000), cfd) → False
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_esEs23(xwv4002, xwv3002, app(ty_[], bea)) → new_esEs8(xwv4002, xwv3002, bea)
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, bef)) → new_esEs14(xwv4002, xwv3002, bef)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_primCompAux1(xwv43000, xwv44000, xwv182, beh) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, beh))
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dfe)) → new_ltEs10(xwv43001, xwv44001, dfe)
new_lt8(xwv43000, xwv44000, dh, ea) → new_esEs15(new_compare15(xwv43000, xwv44000, dh, ea), LT)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Ratio, ceg)) → new_esEs14(xwv4000, xwv3000, ceg)
new_compare32(xwv43000, xwv44000, app(app(ty_Either, cca), ccb)) → new_compare12(xwv43000, xwv44000, cca, ccb)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dae), daf)) → new_esEs4(xwv4000, xwv3000, dae, daf)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dbc), dbd), dbe)) → new_esEs5(xwv4001, xwv3001, dbc, dbd, dbe)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_[], ded)) → new_ltEs12(xwv43000, xwv44000, ded)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, chg), chh)) → new_ltEs18(xwv43000, xwv44000, chg, chh)
new_esEs30(xwv400, xwv300, app(ty_Ratio, cag)) → new_esEs14(xwv400, xwv300, cag)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_esEs29(xwv400, xwv300, app(ty_[], ca)) → new_esEs8(xwv400, xwv300, ca)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, dcg), dch), bgb) → new_ltEs4(xwv43000, xwv44000, dcg, dch)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, bgb) → new_ltEs11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_esEs29(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare11(xwv43000, xwv44000, True, dh, ea) → LT
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, cbe), cbf), cbg)) → new_compare16(xwv43000, xwv44000, cbe, cbf, cbg)
new_compare12(xwv43000, xwv44000, bad, bae) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, bad, bae), bad, bae)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), cfa, cfb) → new_asAs(new_esEs26(xwv4000, xwv3000, cfa), new_esEs27(xwv4001, xwv3001, cfb))
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_esEs6(xwv43000, xwv44000, baf)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs11(GT, LT) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_esEs13(@0, @0) → True
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_esEs7(xwv43000, xwv44000, bad, bae)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_esEs14(xwv43000, xwv44000, eg)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_@2, dea), deb)) → new_ltEs4(xwv43000, xwv44000, dea, deb)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs11(LT, EQ) → True
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Ratio, dec)) → new_ltEs10(xwv43000, xwv44000, dec)
new_compare17(xwv160, xwv161, False, bfa, bfb) → GT
new_esEs30(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_esEs14(xwv43000, xwv44000, dcf)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs29(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_ltEs11(LT, LT) → True
new_compare26(xwv43000, xwv44000, True, baf) → EQ
new_primCompAux0(xwv195, LT) → LT
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_not(False) → True
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, bge)) → new_ltEs10(xwv4300, xwv4400, bge)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, cde), ccc) → new_esEs6(xwv4000, xwv3000, cde)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dba)) → new_esEs14(xwv4000, xwv3000, dba)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_compare32(xwv43000, xwv44000, app(ty_[], cbd)) → new_compare1(xwv43000, xwv44000, cbd)
new_ltEs19(xwv4300, xwv4400, app(ty_[], beh)) → new_ltEs12(xwv4300, xwv4400, beh)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_ltEs11(GT, GT) → True
new_compare28(xwv43000, xwv44000, True) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, bga), bgb)) → new_ltEs18(xwv4300, xwv4400, bga, bgb)
new_compare11(xwv43000, xwv44000, False, dh, ea) → GT
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_esEs5(xwv43001, xwv44001, gd, ge, gf)
new_compare32(xwv43000, xwv44000, app(ty_Maybe, cbh)) → new_compare13(xwv43000, xwv44000, cbh)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs5(xwv4000, xwv3000, bbb, bbc, bbd)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, cdd), ccc) → new_esEs14(xwv4000, xwv3000, cdd)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_lt14(xwv43000, xwv44000, baf) → new_esEs15(new_compare13(xwv43000, xwv44000, baf), LT)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, bbf), bbg)) → new_esEs4(xwv4000, xwv3000, bbf, bbg)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, ccc) → new_esEs11(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs9(True, True) → True
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_@2, cec), ced)) → new_esEs4(xwv4000, xwv3000, cec, ced)
new_primEqNat0(Succ(xwv40000), Zero) → False
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_primPlusNat0(Zero, Zero) → Zero
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, cb), cc), cd)) → new_esEs5(xwv4000, xwv3000, cb, cc, cd)
new_esEs15(LT, GT) → False
new_esEs15(GT, LT) → False
new_compare25(xwv430, xwv440, True, bfc, bfd) → EQ
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs9(False, False) → True
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs15(LT, LT) → True
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], ccg), ccc) → new_esEs8(xwv4000, xwv3000, ccg)
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dfg), dfh), dga)) → new_ltEs5(xwv43001, xwv44001, dfg, dfh, dga)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, bbh), bca)) → new_esEs7(xwv4000, xwv3000, bbh, bca)
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), ca) → new_asAs(new_esEs9(xwv4000, xwv3000, ca), new_esEs8(xwv4001, xwv3001, ca))
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, dda), bgb) → new_ltEs10(xwv43000, xwv44000, dda)
new_esEs29(xwv400, xwv300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xwv400, xwv300, bag, bah, bba)
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, cch), cda), ccc) → new_esEs4(xwv4000, xwv3000, cch, cda)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_ltEs11(EQ, EQ) → True
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_esEs7(xwv43001, xwv44001, gh, ha)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, chf)) → new_ltEs13(xwv43000, xwv44000, chf)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, cf), cg)) → new_esEs4(xwv4000, xwv3000, cf, cg)
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Nothing, bfh) → False
new_compare27(xwv43000, xwv44000, False, de, df, dg) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, dcc)) → new_esEs14(xwv4001, xwv3001, dcc)
new_esEs29(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_esEs6(xwv43001, xwv44001, gg)
new_compare31(@0, @0) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_esEs4(xwv43000, xwv44000, dh, ea)
new_asAs(False, xwv95) → False
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, cgf)) → new_esEs6(xwv4000, xwv3000, cgf)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_ltEs11(EQ, LT) → False
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs29(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_primCmpNat2(xwv4300, Zero) → GT
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, cga), cgb)) → new_esEs4(xwv4000, xwv3000, cga, cgb)
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, cha)) → new_ltEs10(xwv43000, xwv44000, cha)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, baa)) → new_ltEs13(xwv43002, xwv44002, baa)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, beg)) → new_esEs6(xwv4002, xwv3002, beg)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], chb)) → new_ltEs12(xwv43000, xwv44000, chb)
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_compare14(xwv43000, xwv44000, True, baf) → LT
new_lt12(xwv43000, xwv44000, dce) → new_esEs15(new_compare1(xwv43000, xwv44000, dce), LT)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_esEs21(xwv4000, xwv3000, app(ty_[], bbe)) → new_esEs8(xwv4000, xwv3000, bbe)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_lt14(xwv43000, xwv44000, baf)
new_compare25(Left(xwv4300), Left(xwv4400), False, bfc, bfd) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bfc), bfc, bfd)
new_ltEs9(False, True) → True
new_esEs30(xwv400, xwv300, app(ty_[], cab)) → new_esEs8(xwv400, xwv300, cab)
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_esEs4(xwv43001, xwv44001, fh, ga)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs5(xwv4300, xwv4400, eb, ec, ed)
new_ltEs6(xwv43002, xwv44002, app(ty_[], he)) → new_ltEs12(xwv43002, xwv44002, he)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, dbg), dbh)) → new_esEs4(xwv4001, xwv3001, dbg, dbh)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_lt19(xwv43001, xwv44001, gh, ha)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, bfh)) → new_ltEs13(xwv4300, xwv4400, bfh)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, ddf), bgb) → new_ltEs13(xwv43000, xwv44000, ddf)
new_compare112(xwv43000, xwv44000, False) → GT
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, app(app(ty_Either, cdf), ccc)) → new_esEs7(xwv400, xwv300, cdf, ccc)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, ccc) → new_esEs17(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_esEs29(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, bgb) → new_ltEs8(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_[], ceb)) → new_esEs8(xwv4000, xwv3000, ceb)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], cfh)) → new_esEs8(xwv4000, xwv3000, cfh)
new_asAs(True, xwv95) → xwv95
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, daa), dab), dac)) → new_esEs5(xwv4000, xwv3000, daa, dab, dac)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_lt8(xwv43001, xwv44001, fh, ga)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, ccc) → new_esEs15(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, cgc), cgd)) → new_esEs7(xwv4000, xwv3000, cgc, cgd)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_lt10(xwv43000, xwv44000, dcf)
new_compare1(:(xwv43000, xwv43001), [], beh) → GT
new_esEs19(xwv43000, xwv44000, app(ty_[], eh)) → new_esEs8(xwv43000, xwv44000, eh)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, da), db)) → new_esEs7(xwv4000, xwv3000, da, db)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, ccc) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, ccc) → new_esEs13(xwv4000, xwv3000)
new_compare27(xwv43000, xwv44000, True, de, df, dg) → EQ
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, dgc), dgd)) → new_ltEs18(xwv43001, xwv44001, dgc, dgd)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs5(xwv4002, xwv3002, bdf, bdg, bdh)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(xwv43000, xwv44000, chc, chd, che)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare25(Right(xwv4300), Right(xwv4400), False, bfc, bfd) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bfd), bfc, bfd)
new_ltEs10(xwv4300, xwv4400, bfg) → new_fsEs(new_compare7(xwv4300, xwv4400, bfg))
new_esEs29(xwv400, xwv300, app(ty_Ratio, cfc)) → new_esEs14(xwv400, xwv300, cfc)
new_esEs30(xwv400, xwv300, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(xwv400, xwv300, bhg, bhh, caa)
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs15(GT, GT) → True
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, cge)) → new_esEs14(xwv4000, xwv3000, cge)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_primCompAux0(xwv195, EQ) → xwv195
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_ltEs11(EQ, GT) → True
new_esEs8(:(xwv4000, xwv4001), [], ca) → False
new_esEs8([], :(xwv3000, xwv3001), ca) → False
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_esEs4(xwv43000, xwv44000, ee, ef)
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs30(xwv400, xwv300, app(app(ty_@2, cac), cad)) → new_esEs4(xwv400, xwv300, cac, cad)
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_not(True) → False
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_compare1([], [], beh) → EQ

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_ltEs6(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare10(x0, x1, False, x2, x3, x4)
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare11(x0, x1, True, x2, x3)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(ty_[], x2))
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_esEs29(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs22(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs19(x0, x1, ty_Integer)
new_lt10(x0, x1, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs29(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_compare111(x0, x1, True)
new_ltEs16(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs26(x0, x1, ty_Int)
new_ltEs12(x0, x1, x2)
new_esEs22(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt4(x0, x1, ty_Ordering)
new_esEs10(Integer(x0), Integer(x1))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, x2)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Char)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(False, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, True, x2, x3)
new_esEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Double)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs6(Nothing, Nothing, x0)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, ty_@0)
new_primCmpNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_primPlusNat1(Succ(x0), x1)
new_fsEs(x0)
new_compare30(Double(x0, x1), Double(x2, x3))
new_primEqNat0(Zero, Zero)
new_ltEs19(x0, x1, ty_Float)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs30(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Pos(x0), Pos(x1))
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_compare32(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, True, x2)
new_compare25(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs9(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Zero)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_sr(Integer(x0), Integer(x1))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs15(x0, x1)
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt4(x0, x1, ty_Double)
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primCompAux0(x0, GT)
new_primCompAux0(x0, LT)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_[], x2))
new_pePe(True, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_@0)
new_compare14(x0, x1, True, x2)
new_ltEs13(Nothing, Nothing, x0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare32(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_compare19(x0, x1)
new_ltEs21(x0, x1, ty_Double)
new_sr0(x0, x1)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_compare29(Char(x0), Char(x1))
new_compare16(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Double)
new_lt17(x0, x1)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Double)
new_esEs8([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_lt5(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_primCmpNat2(x0, Succ(x1))
new_ltEs21(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs30(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Int)
new_compare1(:(x0, x1), [], x2)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs30(x0, x1, ty_@0)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs6(Just(x0), Nothing, x1)
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(LT, LT)
new_lt5(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1([], [], x0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs27(x0, x1, ty_Integer)
new_lt14(x0, x1, x2)
new_compare26(x0, x1, False, x2)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_compare31(@0, @0)
new_esEs15(EQ, GT)
new_esEs15(GT, EQ)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_Bool)
new_ltEs9(True, True)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_asAs(False, x0)
new_pePe(False, x0)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Nothing, Just(x0), x1)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, True, x2, x3)
new_compare18(Float(x0, x1), Float(x2, x3))
new_esEs30(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_lt19(x0, x1, x2, x3)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_esEs23(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs20(x0, x1, ty_Float)
new_compare12(x0, x1, x2, x3)
new_ltEs10(x0, x1, x2)
new_lt9(x0, x1)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primCmpNat2(x0, Zero)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Char)
new_compare17(x0, x1, False, x2, x3)
new_lt4(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_compare24(x0, x1, False, x2, x3)
new_esEs23(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_compare14(x0, x1, False, x2)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), Succ(x1))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True)
new_esEs16(Char(x0), Char(x1))
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs11(LT, LT)
new_esEs8([], [], x0)
new_esEs21(x0, x1, ty_Int)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs11(EQ, LT)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, x2, x3)
new_ltEs13(Just(x0), Nothing, x1)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt18(x0, x1)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Just(x0), x1)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Succ(x0))
new_compare110(x0, x1, False, x2, x3)
new_esEs15(GT, GT)
new_lt12(x0, x1, x2)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_lt8(x0, x1, x2, x3)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_compare23(x0, x1, False)
new_esEs23(x0, x1, ty_@0)
new_compare27(x0, x1, False, x2, x3, x4)
new_lt11(x0, x1)
new_compare32(x0, x1, ty_Float)
new_lt13(x0, x1, x2, x3, x4)
new_compare8(Integer(x0), Integer(x1))
new_esEs30(x0, x1, ty_Double)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Zero)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_not(True)
new_esEs24(x0, x1, ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_lt4(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs15(EQ, EQ)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs8(x0, x1)
new_not(False)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs12(x0, x1)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Integer)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_compare28(x0, x1, True)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, ty_Int)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_compare1([], :(x0, x1), x2)
new_esEs28(x0, x1, ty_Char)
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(LT, EQ)
new_esEs15(EQ, LT)
new_ltEs6(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs17(True, True)
new_compare17(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Int)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare111(x0, x1, False)
new_compare10(x0, x1, True, x2, x3, x4)
new_primPlusNat0(Succ(x0), Zero)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Float)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(x0, x1)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs6(x0, x1, ty_@0)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs8(:(x0, x1), [], x2)
new_esEs9(x0, x1, ty_Double)
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_ltEs11(GT, GT)

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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                            ↳ QDP
                                              ↳ QReductionProof
                                        ↳ QDP
                                  ↳ QDP

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

new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv34, Right(xwv400), bc, bd, be)
new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, bc, bd, be) → new_delFromFM11(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), new_esEs7(Right(xwv400), Left(xwv300), bc, bd), bc, bd), LT), bc, bd, be)
new_delFromFM22(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, bf, bg, bh) → new_delFromFM(xwv32, Right(xwv33), bf, bg, bh)
new_delFromFM11(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv33, Right(xwv400), bc, bd, be)
new_delFromFM(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), bc, bd, be) → new_delFromFM22(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Right(xwv300), new_esEs30(xwv400, xwv300, bd), bc, bd), GT), bc, bd, be)
new_delFromFM(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), bc, bd, be) → new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), False, bc, bd), GT), bc, bd, be)
new_delFromFM12(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, bf, bg, bh) → new_delFromFM(xwv31, Right(xwv33), bf, bg, bh)
new_delFromFM22(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, False, bf, bg, bh) → new_delFromFM12(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, new_esEs15(new_compare25(Right(xwv33), Right(xwv28), new_esEs7(Right(xwv33), Right(xwv28), bf, bg), bf, bg), LT), bf, bg, bh)

The TRS R consists of the following rules:

new_compare25(Right(xwv4300), Left(xwv4400), False, bfc, bfd) → GT
new_esEs15(EQ, GT) → False
new_esEs15(LT, GT) → False
new_esEs15(GT, GT) → True
new_esEs30(xwv400, xwv300, app(ty_Maybe, cah)) → new_esEs6(xwv400, xwv300, cah)
new_esEs30(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_esEs30(xwv400, xwv300, app(app(ty_Either, cae), caf)) → new_esEs7(xwv400, xwv300, cae, caf)
new_esEs30(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs30(xwv400, xwv300, app(ty_Ratio, cag)) → new_esEs14(xwv400, xwv300, cag)
new_esEs30(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs30(xwv400, xwv300, app(ty_[], cab)) → new_esEs8(xwv400, xwv300, cab)
new_esEs30(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_esEs30(xwv400, xwv300, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(xwv400, xwv300, bhg, bhh, caa)
new_esEs30(xwv400, xwv300, app(app(ty_@2, cac), cad)) → new_esEs4(xwv400, xwv300, cac, cad)
new_compare25(xwv430, xwv440, True, bfc, bfd) → EQ
new_compare25(Right(xwv4300), Right(xwv4400), False, bfc, bfd) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bfd), bfc, bfd)
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, bhb)) → new_ltEs13(xwv4300, xwv4400, bhb)
new_ltEs20(xwv4300, xwv4400, app(ty_[], bgf)) → new_ltEs12(xwv4300, xwv4400, bgf)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, bgc), bgd)) → new_ltEs4(xwv4300, xwv4400, bgc, bgd)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, bgg), bgh), bha)) → new_ltEs5(xwv4300, xwv4400, bgg, bgh, bha)
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, bhc), bhd)) → new_ltEs18(xwv4300, xwv4400, bhc, bhd)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, bge)) → new_ltEs10(xwv4300, xwv4400, bge)
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_compare110(xwv167, xwv168, True, bhe, bhf) → LT
new_compare110(xwv167, xwv168, False, bhe, bhf) → GT
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_not(False) → True
new_not(True) → False
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_primCmpNat2(xwv4300, Zero) → GT
new_primCmpNat1(Zero, xwv4300) → LT
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_primPlusNat0(Zero, Zero) → Zero
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_ltEs11(LT, GT) → True
new_ltEs11(GT, EQ) → False
new_ltEs11(GT, LT) → False
new_ltEs11(LT, EQ) → True
new_ltEs11(LT, LT) → True
new_ltEs11(GT, GT) → True
new_ltEs11(EQ, EQ) → True
new_ltEs11(EQ, LT) → False
new_ltEs11(EQ, GT) → True
new_ltEs9(True, False) → False
new_ltEs9(True, True) → True
new_ltEs9(False, False) → True
new_ltEs9(False, True) → True
new_ltEs10(xwv4300, xwv4400, bfg) → new_fsEs(new_compare7(xwv4300, xwv4400, bfg))
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, bgb) → new_ltEs9(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(app(ty_@3, dee), def), deg)) → new_ltEs5(xwv43000, xwv44000, dee, def, deg)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, bgb) → new_ltEs14(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Left(xwv44000), bga, bgb) → False
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], ddb), bgb) → new_ltEs12(xwv43000, xwv44000, ddb)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, ddc), ddd), dde), bgb) → new_ltEs5(xwv43000, xwv44000, ddc, ddd, dde)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, bgb) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, bgb) → new_ltEs15(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, bgb) → new_ltEs7(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Right(xwv44000), bga, bgb) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, bgb) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_[], ded)) → new_ltEs12(xwv43000, xwv44000, ded)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, dcg), dch), bgb) → new_ltEs4(xwv43000, xwv44000, dcg, dch)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, bgb) → new_ltEs11(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_@2, dea), deb)) → new_ltEs4(xwv43000, xwv44000, dea, deb)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Ratio, dec)) → new_ltEs10(xwv43000, xwv44000, dec)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, dda), bgb) → new_ltEs10(xwv43000, xwv44000, dda)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, bgb) → new_ltEs8(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, ddg), ddh), bgb) → new_ltEs18(xwv43000, xwv44000, ddg, ddh)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, ddf), bgb) → new_ltEs13(xwv43000, xwv44000, ddf)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, chg), chh)) → new_ltEs18(xwv43000, xwv44000, chg, chh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Maybe, deh)) → new_ltEs13(xwv43000, xwv44000, deh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_Either, dfa), dfb)) → new_ltEs18(xwv43000, xwv44000, dfa, dfb)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, chf)) → new_ltEs13(xwv43000, xwv44000, chf)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs13(Nothing, Just(xwv44000), bfh) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_ltEs13(Nothing, Nothing, bfh) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, cgg), cgh)) → new_ltEs4(xwv43000, xwv44000, cgg, cgh)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Nothing, bfh) → False
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, cha)) → new_ltEs10(xwv43000, xwv44000, cha)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], chb)) → new_ltEs12(xwv43000, xwv44000, chb)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(xwv43000, xwv44000, chc, chd, che)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), eb, ec, ed) → new_pePe(new_lt4(xwv43000, xwv44000, eb), new_asAs(new_esEs19(xwv43000, xwv44000, eb), new_pePe(new_lt5(xwv43001, xwv44001, ec), new_asAs(new_esEs20(xwv43001, xwv44001, ec), new_ltEs6(xwv43002, xwv44002, ed)))))
new_lt4(xwv43000, xwv44000, app(ty_[], eh)) → new_lt12(xwv43000, xwv44000, eh)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_lt14(xwv43000, xwv44000, fd)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_lt19(xwv43000, xwv44000, ff, fg)
new_lt4(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_lt10(xwv43000, xwv44000, eg)
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_lt13(xwv43000, xwv44000, fa, fb, fc)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_lt8(xwv43000, xwv44000, ee, ef)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_esEs5(xwv43000, xwv44000, fa, fb, fc)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_esEs6(xwv43000, xwv44000, fd)
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_esEs7(xwv43000, xwv44000, ff, fg)
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_esEs14(xwv43000, xwv44000, eg)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_[], eh)) → new_esEs8(xwv43000, xwv44000, eh)
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_esEs4(xwv43000, xwv44000, ee, ef)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_lt10(xwv43001, xwv44001, gb)
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_[], gc)) → new_lt12(xwv43001, xwv44001, gc)
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_lt13(xwv43001, xwv44001, gd, ge, gf)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_lt14(xwv43001, xwv44001, gg)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_lt19(xwv43001, xwv44001, gh, ha)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_lt8(xwv43001, xwv44001, fh, ga)
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_esEs14(xwv43001, xwv44001, gb)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(ty_[], gc)) → new_esEs8(xwv43001, xwv44001, gc)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_esEs5(xwv43001, xwv44001, gd, ge, gf)
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_esEs7(xwv43001, xwv44001, gh, ha)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_esEs6(xwv43001, xwv44001, gg)
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_esEs4(xwv43001, xwv44001, fh, ga)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs5(xwv43002, xwv44002, hf, hg, hh)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, hd)) → new_ltEs10(xwv43002, xwv44002, hd)
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, bab), bac)) → new_ltEs18(xwv43002, xwv44002, bab, bac)
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, hb), hc)) → new_ltEs4(xwv43002, xwv44002, hb, hc)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, baa)) → new_ltEs13(xwv43002, xwv44002, baa)
new_ltEs6(xwv43002, xwv44002, app(ty_[], he)) → new_ltEs12(xwv43002, xwv44002, he)
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_asAs(False, xwv95) → False
new_asAs(True, xwv95) → xwv95
new_pePe(False, xwv181) → xwv181
new_pePe(True, xwv181) → True
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_ltEs12(xwv4300, xwv4400, beh) → new_fsEs(new_compare1(xwv4300, xwv4400, beh))
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), beh) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, beh), beh)
new_compare1([], :(xwv44000, xwv44001), beh) → LT
new_compare1(:(xwv43000, xwv43001), [], beh) → GT
new_compare1([], [], beh) → EQ
new_primCompAux1(xwv43000, xwv44000, xwv182, beh) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, beh))
new_compare32(xwv43000, xwv44000, app(ty_Ratio, cbc)) → new_compare7(xwv43000, xwv44000, cbc)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, cba), cbb)) → new_compare15(xwv43000, xwv44000, cba, cbb)
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(ty_Either, cca), ccb)) → new_compare12(xwv43000, xwv44000, cca, ccb)
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, cbe), cbf), cbg)) → new_compare16(xwv43000, xwv44000, cbe, cbf, cbg)
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(ty_[], cbd)) → new_compare1(xwv43000, xwv44000, cbd)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(ty_Maybe, cbh)) → new_compare13(xwv43000, xwv44000, cbh)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_primCompAux0(xwv195, GT) → GT
new_primCompAux0(xwv195, LT) → LT
new_primCompAux0(xwv195, EQ) → xwv195
new_compare31(@0, @0) → EQ
new_compare13(xwv43000, xwv44000, baf) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, baf), baf)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, cfe), cff), cfg)) → new_esEs5(xwv4000, xwv3000, cfe, cff, cfg)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Nothing, Nothing, cfd) → True
new_esEs6(Just(xwv4000), Nothing, cfd) → False
new_esEs6(Nothing, Just(xwv3000), cfd) → False
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, cga), cgb)) → new_esEs4(xwv4000, xwv3000, cga, cgb)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], cfh)) → new_esEs8(xwv4000, xwv3000, cfh)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, cge)) → new_esEs14(xwv4000, xwv3000, cge)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_compare26(xwv43000, xwv44000, False, baf) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, baf), baf)
new_compare26(xwv43000, xwv44000, True, baf) → EQ
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, cgf)) → new_esEs6(xwv4000, xwv3000, cgf)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, cdb), cdc), ccc) → new_esEs7(xwv4000, xwv3000, cdb, cdc)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Maybe, ceh)) → new_esEs6(xwv4000, xwv3000, ceh)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, cgc), cgd)) → new_esEs7(xwv4000, xwv3000, cgc, cgd)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, cde), ccc) → new_esEs6(xwv4000, xwv3000, cde)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_Either, cee), cef)) → new_esEs7(xwv4000, xwv3000, cee, cef)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, ccd), cce), ccf), ccc) → new_esEs5(xwv4000, xwv3000, ccd, cce, ccf)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, ccc) → new_esEs10(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs5(xwv4000, xwv3000, cdg, cdh, cea)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, ccc) → new_esEs18(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Left(xwv3000), cdf, ccc) → False
new_esEs7(Left(xwv4000), Right(xwv3000), cdf, ccc) → False
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, ccc) → new_esEs12(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Ratio, ceg)) → new_esEs14(xwv4000, xwv3000, ceg)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, cdd), ccc) → new_esEs14(xwv4000, xwv3000, cdd)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, ccc) → new_esEs11(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_@2, cec), ced)) → new_esEs4(xwv4000, xwv3000, cec, ced)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], ccg), ccc) → new_esEs8(xwv4000, xwv3000, ccg)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, cch), cda), ccc) → new_esEs4(xwv4000, xwv3000, cch, cda)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, ccc) → new_esEs17(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_[], ceb)) → new_esEs8(xwv4000, xwv3000, ceb)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, ccc) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, ccc) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, ccc) → new_esEs13(xwv4000, xwv3000)
new_esEs13(@0, @0) → True
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_primEqNat0(Succ(xwv40000), Zero) → False
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_esEs15(EQ, EQ) → True
new_esEs15(LT, EQ) → False
new_esEs15(EQ, LT) → False
new_esEs15(GT, EQ) → False
new_esEs15(GT, LT) → False
new_esEs15(LT, LT) → True
new_esEs8([], [], ca) → True
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), ca) → new_asAs(new_esEs9(xwv4000, xwv3000, ca), new_esEs8(xwv4001, xwv3001, ca))
new_esEs8(:(xwv4000, xwv4001), [], ca) → False
new_esEs8([], :(xwv3000, xwv3001), ca) → False
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, dc)) → new_esEs14(xwv4000, xwv3000, dc)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, dd)) → new_esEs6(xwv4000, xwv3000, dd)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(ty_[], ce)) → new_esEs8(xwv4000, xwv3000, ce)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, cb), cc), cd)) → new_esEs5(xwv4000, xwv3000, cb, cc, cd)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, cf), cg)) → new_esEs4(xwv4000, xwv3000, cf, cg)
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, da), db)) → new_esEs7(xwv4000, xwv3000, da, db)
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), cfa, cfb) → new_asAs(new_esEs26(xwv4000, xwv3000, cfa), new_esEs27(xwv4001, xwv3001, cfb))
new_esEs26(xwv4000, xwv3000, app(ty_[], dad)) → new_esEs8(xwv4000, xwv3000, dad)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dbb)) → new_esEs6(xwv4000, xwv3000, dbb)
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dag), dah)) → new_esEs7(xwv4000, xwv3000, dag, dah)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dae), daf)) → new_esEs4(xwv4000, xwv3000, dae, daf)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dba)) → new_esEs14(xwv4000, xwv3000, dba)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, daa), dab), dac)) → new_esEs5(xwv4000, xwv3000, daa, dab, dac)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, dcd)) → new_esEs6(xwv4001, xwv3001, dcd)
new_esEs27(xwv4001, xwv3001, app(ty_[], dbf)) → new_esEs8(xwv4001, xwv3001, dbf)
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, dca), dcb)) → new_esEs7(xwv4001, xwv3001, dca, dcb)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dbc), dbd), dbe)) → new_esEs5(xwv4001, xwv3001, dbc, dbd, dbe)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, dcc)) → new_esEs14(xwv4001, xwv3001, dcc)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, dbg), dbh)) → new_esEs4(xwv4001, xwv3001, dbg, dbh)
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), cfc) → new_asAs(new_esEs24(xwv4000, xwv3000, cfc), new_esEs25(xwv4001, xwv3001, cfc))
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), bag, bah, bba) → new_asAs(new_esEs21(xwv4000, xwv3000, bag), new_asAs(new_esEs22(xwv4001, xwv3001, bah), new_esEs23(xwv4002, xwv3002, bba)))
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, bcb)) → new_esEs14(xwv4000, xwv3000, bcb)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, bcc)) → new_esEs6(xwv4000, xwv3000, bcc)
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs5(xwv4000, xwv3000, bbb, bbc, bbd)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, bbf), bbg)) → new_esEs4(xwv4000, xwv3000, bbf, bbg)
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, bbh), bca)) → new_esEs7(xwv4000, xwv3000, bbh, bca)
new_esEs21(xwv4000, xwv3000, app(ty_[], bbe)) → new_esEs8(xwv4000, xwv3000, bbe)
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, bde)) → new_esEs6(xwv4001, xwv3001, bde)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, bdd)) → new_esEs14(xwv4001, xwv3001, bdd)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(ty_[], bcg)) → new_esEs8(xwv4001, xwv3001, bcg)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, bdb), bdc)) → new_esEs7(xwv4001, xwv3001, bdb, bdc)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, bch), bda)) → new_esEs4(xwv4001, xwv3001, bch, bda)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, bcd), bce), bcf)) → new_esEs5(xwv4001, xwv3001, bcd, bce, bcf)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, bed), bee)) → new_esEs7(xwv4002, xwv3002, bed, bee)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, beb), bec)) → new_esEs4(xwv4002, xwv3002, beb, bec)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, app(ty_[], bea)) → new_esEs8(xwv4002, xwv3002, bea)
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, bef)) → new_esEs14(xwv4002, xwv3002, bef)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, beg)) → new_esEs6(xwv4002, xwv3002, beg)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs5(xwv4002, xwv3002, bdf, bdg, bdh)
new_esEs17(True, True) → True
new_esEs17(False, False) → True
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_compare14(xwv43000, xwv44000, False, baf) → GT
new_compare14(xwv43000, xwv44000, True, baf) → LT
new_compare16(xwv43000, xwv44000, de, df, dg) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_compare27(xwv43000, xwv44000, False, de, df, dg) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_compare27(xwv43000, xwv44000, True, de, df, dg) → EQ
new_compare10(xwv43000, xwv44000, True, de, df, dg) → LT
new_compare10(xwv43000, xwv44000, False, de, df, dg) → GT
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_compare23(xwv43000, xwv44000, True) → EQ
new_compare112(xwv43000, xwv44000, True) → LT
new_compare112(xwv43000, xwv44000, False) → GT
new_compare12(xwv43000, xwv44000, bad, bae) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, bad, bae), bad, bae)
new_compare25(Left(xwv4300), Right(xwv4400), False, bfc, bfd) → LT
new_compare25(Left(xwv4300), Left(xwv4400), False, bfc, bfd) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bfc), bfc, bfd)
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, bfe), bff)) → new_ltEs4(xwv4300, xwv4400, bfe, bff)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, bfg)) → new_ltEs10(xwv4300, xwv4400, bfg)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(ty_[], beh)) → new_ltEs12(xwv4300, xwv4400, beh)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, bga), bgb)) → new_ltEs18(xwv4300, xwv4400, bga, bgb)
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs5(xwv4300, xwv4400, eb, ec, ed)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, bfh)) → new_ltEs13(xwv4300, xwv4400, bfh)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, bfa, bfb) → LT
new_compare17(xwv160, xwv161, False, bfa, bfb) → GT
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), bfe, bff) → new_pePe(new_lt20(xwv43000, xwv44000, bfe), new_asAs(new_esEs28(xwv43000, xwv44000, bfe), new_ltEs21(xwv43001, xwv44001, bff)))
new_lt20(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_lt19(xwv43000, xwv44000, bad, bae)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_lt8(xwv43000, xwv44000, dh, ea)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_lt13(xwv43000, xwv44000, de, df, dg)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_[], dce)) → new_lt12(xwv43000, xwv44000, dce)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_lt14(xwv43000, xwv44000, baf)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_lt10(xwv43000, xwv44000, dcf)
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xwv43000, xwv44000, de, df, dg)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], dce)) → new_esEs8(xwv43000, xwv44000, dce)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_esEs6(xwv43000, xwv44000, baf)
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_esEs7(xwv43000, xwv44000, bad, bae)
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_esEs14(xwv43000, xwv44000, dcf)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_esEs4(xwv43000, xwv44000, dh, ea)
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dff)) → new_ltEs12(xwv43001, xwv44001, dff)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, dgb)) → new_ltEs13(xwv43001, xwv44001, dgb)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, dfc), dfd)) → new_ltEs4(xwv43001, xwv44001, dfc, dfd)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dfe)) → new_ltEs10(xwv43001, xwv44001, dfe)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dfg), dfh), dga)) → new_ltEs5(xwv43001, xwv44001, dfg, dfh, dga)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, dgc), dgd)) → new_ltEs18(xwv43001, xwv44001, dgc, dgd)
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_lt10(xwv43000, xwv44000, dcf) → new_esEs15(new_compare7(xwv43000, xwv44000, dcf), LT)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_lt14(xwv43000, xwv44000, baf) → new_esEs15(new_compare13(xwv43000, xwv44000, baf), LT)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_lt12(xwv43000, xwv44000, dce) → new_esEs15(new_compare1(xwv43000, xwv44000, dce), LT)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_compare28(xwv43000, xwv44000, True) → EQ
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_compare111(xwv43000, xwv44000, False) → GT
new_compare111(xwv43000, xwv44000, True) → LT
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_lt13(xwv43000, xwv44000, de, df, dg) → new_esEs15(new_compare16(xwv43000, xwv44000, de, df, dg), LT)
new_lt8(xwv43000, xwv44000, dh, ea) → new_esEs15(new_compare15(xwv43000, xwv44000, dh, ea), LT)
new_compare15(xwv43000, xwv44000, dh, ea) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare24(xwv43000, xwv44000, False, dh, ea) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare24(xwv43000, xwv44000, True, dh, ea) → EQ
new_compare11(xwv43000, xwv44000, True, dh, ea) → LT
new_compare11(xwv43000, xwv44000, False, dh, ea) → GT
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_lt19(xwv43000, xwv44000, bad, bae) → new_esEs15(new_compare12(xwv43000, xwv44000, bad, bae), LT)

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_ltEs6(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare10(x0, x1, False, x2, x3, x4)
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare11(x0, x1, True, x2, x3)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(ty_[], x2))
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_esEs29(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs22(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs19(x0, x1, ty_Integer)
new_lt10(x0, x1, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs29(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_compare111(x0, x1, True)
new_ltEs16(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs26(x0, x1, ty_Int)
new_ltEs12(x0, x1, x2)
new_esEs22(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt4(x0, x1, ty_Ordering)
new_esEs10(Integer(x0), Integer(x1))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, x2)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Char)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(False, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, True, x2, x3)
new_esEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Double)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs6(Nothing, Nothing, x0)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, ty_@0)
new_primCmpNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_primPlusNat1(Succ(x0), x1)
new_fsEs(x0)
new_compare30(Double(x0, x1), Double(x2, x3))
new_primEqNat0(Zero, Zero)
new_ltEs19(x0, x1, ty_Float)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs30(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Pos(x0), Pos(x1))
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_compare32(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, True, x2)
new_compare25(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs9(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Zero)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_sr(Integer(x0), Integer(x1))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs15(x0, x1)
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt4(x0, x1, ty_Double)
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primCompAux0(x0, GT)
new_primCompAux0(x0, LT)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_[], x2))
new_pePe(True, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_@0)
new_compare14(x0, x1, True, x2)
new_ltEs13(Nothing, Nothing, x0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare32(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_compare19(x0, x1)
new_ltEs21(x0, x1, ty_Double)
new_sr0(x0, x1)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_compare29(Char(x0), Char(x1))
new_compare16(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Double)
new_lt17(x0, x1)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Double)
new_esEs8([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_lt5(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_primCmpNat2(x0, Succ(x1))
new_ltEs21(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs30(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Int)
new_compare1(:(x0, x1), [], x2)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs30(x0, x1, ty_@0)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs6(Just(x0), Nothing, x1)
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(LT, LT)
new_lt5(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1([], [], x0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs27(x0, x1, ty_Integer)
new_lt14(x0, x1, x2)
new_compare26(x0, x1, False, x2)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_compare31(@0, @0)
new_esEs15(EQ, GT)
new_esEs15(GT, EQ)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_Bool)
new_ltEs9(True, True)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_asAs(False, x0)
new_pePe(False, x0)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Nothing, Just(x0), x1)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, True, x2, x3)
new_compare18(Float(x0, x1), Float(x2, x3))
new_esEs30(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_lt19(x0, x1, x2, x3)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_esEs23(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs20(x0, x1, ty_Float)
new_compare12(x0, x1, x2, x3)
new_ltEs10(x0, x1, x2)
new_lt9(x0, x1)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primCmpNat2(x0, Zero)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Char)
new_compare17(x0, x1, False, x2, x3)
new_lt4(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_compare24(x0, x1, False, x2, x3)
new_esEs23(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_compare14(x0, x1, False, x2)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), Succ(x1))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True)
new_esEs16(Char(x0), Char(x1))
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs11(LT, LT)
new_esEs8([], [], x0)
new_esEs21(x0, x1, ty_Int)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs11(EQ, LT)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, x2, x3)
new_ltEs13(Just(x0), Nothing, x1)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt18(x0, x1)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Just(x0), x1)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Succ(x0))
new_compare110(x0, x1, False, x2, x3)
new_esEs15(GT, GT)
new_lt12(x0, x1, x2)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_lt8(x0, x1, x2, x3)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_compare23(x0, x1, False)
new_esEs23(x0, x1, ty_@0)
new_compare27(x0, x1, False, x2, x3, x4)
new_lt11(x0, x1)
new_compare32(x0, x1, ty_Float)
new_lt13(x0, x1, x2, x3, x4)
new_compare8(Integer(x0), Integer(x1))
new_esEs30(x0, x1, ty_Double)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Zero)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_not(True)
new_esEs24(x0, x1, ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_lt4(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs15(EQ, EQ)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs8(x0, x1)
new_not(False)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs12(x0, x1)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Integer)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_compare28(x0, x1, True)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, ty_Int)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_compare1([], :(x0, x1), x2)
new_esEs28(x0, x1, ty_Char)
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(LT, EQ)
new_esEs15(EQ, LT)
new_ltEs6(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs17(True, True)
new_compare17(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Int)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare111(x0, x1, False)
new_compare10(x0, x1, True, x2, x3, x4)
new_primPlusNat0(Succ(x0), Zero)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Float)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(x0, x1)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs6(x0, x1, ty_@0)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs8(:(x0, x1), [], x2)
new_esEs9(x0, x1, ty_Double)
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_ltEs11(GT, GT)

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_esEs29(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, ty_Int)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Char)



↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                            ↳ QDP
                                              ↳ QReductionProof
                                                ↳ QDP
                                                  ↳ QDPSizeChangeProof
                                        ↳ QDP
                                  ↳ QDP

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

new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, bc, bd, be) → new_delFromFM11(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), new_esEs7(Right(xwv400), Left(xwv300), bc, bd), bc, bd), LT), bc, bd, be)
new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv34, Right(xwv400), bc, bd, be)
new_delFromFM22(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, bf, bg, bh) → new_delFromFM(xwv32, Right(xwv33), bf, bg, bh)
new_delFromFM11(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv33, Right(xwv400), bc, bd, be)
new_delFromFM(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), bc, bd, be) → new_delFromFM22(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Right(xwv300), new_esEs30(xwv400, xwv300, bd), bc, bd), GT), bc, bd, be)
new_delFromFM(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), bc, bd, be) → new_delFromFM21(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), False, bc, bd), GT), bc, bd, be)
new_delFromFM12(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, bf, bg, bh) → new_delFromFM(xwv31, Right(xwv33), bf, bg, bh)
new_delFromFM22(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, False, bf, bg, bh) → new_delFromFM12(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, new_esEs15(new_compare25(Right(xwv33), Right(xwv28), new_esEs7(Right(xwv33), Right(xwv28), bf, bg), bf, bg), LT), bf, bg, bh)

The TRS R consists of the following rules:

new_compare25(Right(xwv4300), Left(xwv4400), False, bfc, bfd) → GT
new_esEs15(EQ, GT) → False
new_esEs15(LT, GT) → False
new_esEs15(GT, GT) → True
new_esEs30(xwv400, xwv300, app(ty_Maybe, cah)) → new_esEs6(xwv400, xwv300, cah)
new_esEs30(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_esEs30(xwv400, xwv300, app(app(ty_Either, cae), caf)) → new_esEs7(xwv400, xwv300, cae, caf)
new_esEs30(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs30(xwv400, xwv300, app(ty_Ratio, cag)) → new_esEs14(xwv400, xwv300, cag)
new_esEs30(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs30(xwv400, xwv300, app(ty_[], cab)) → new_esEs8(xwv400, xwv300, cab)
new_esEs30(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_esEs30(xwv400, xwv300, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(xwv400, xwv300, bhg, bhh, caa)
new_esEs30(xwv400, xwv300, app(app(ty_@2, cac), cad)) → new_esEs4(xwv400, xwv300, cac, cad)
new_compare25(xwv430, xwv440, True, bfc, bfd) → EQ
new_compare25(Right(xwv4300), Right(xwv4400), False, bfc, bfd) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bfd), bfc, bfd)
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, bhb)) → new_ltEs13(xwv4300, xwv4400, bhb)
new_ltEs20(xwv4300, xwv4400, app(ty_[], bgf)) → new_ltEs12(xwv4300, xwv4400, bgf)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, bgc), bgd)) → new_ltEs4(xwv4300, xwv4400, bgc, bgd)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, bgg), bgh), bha)) → new_ltEs5(xwv4300, xwv4400, bgg, bgh, bha)
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, bhc), bhd)) → new_ltEs18(xwv4300, xwv4400, bhc, bhd)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, bge)) → new_ltEs10(xwv4300, xwv4400, bge)
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_compare110(xwv167, xwv168, True, bhe, bhf) → LT
new_compare110(xwv167, xwv168, False, bhe, bhf) → GT
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_not(False) → True
new_not(True) → False
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_primCmpNat2(xwv4300, Zero) → GT
new_primCmpNat1(Zero, xwv4300) → LT
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_primPlusNat0(Zero, Zero) → Zero
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_ltEs11(LT, GT) → True
new_ltEs11(GT, EQ) → False
new_ltEs11(GT, LT) → False
new_ltEs11(LT, EQ) → True
new_ltEs11(LT, LT) → True
new_ltEs11(GT, GT) → True
new_ltEs11(EQ, EQ) → True
new_ltEs11(EQ, LT) → False
new_ltEs11(EQ, GT) → True
new_ltEs9(True, False) → False
new_ltEs9(True, True) → True
new_ltEs9(False, False) → True
new_ltEs9(False, True) → True
new_ltEs10(xwv4300, xwv4400, bfg) → new_fsEs(new_compare7(xwv4300, xwv4400, bfg))
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, bgb) → new_ltEs9(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(app(ty_@3, dee), def), deg)) → new_ltEs5(xwv43000, xwv44000, dee, def, deg)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, bgb) → new_ltEs14(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Left(xwv44000), bga, bgb) → False
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], ddb), bgb) → new_ltEs12(xwv43000, xwv44000, ddb)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, ddc), ddd), dde), bgb) → new_ltEs5(xwv43000, xwv44000, ddc, ddd, dde)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, bgb) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, bgb) → new_ltEs15(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, bgb) → new_ltEs7(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Right(xwv44000), bga, bgb) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, bgb) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_[], ded)) → new_ltEs12(xwv43000, xwv44000, ded)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, dcg), dch), bgb) → new_ltEs4(xwv43000, xwv44000, dcg, dch)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, bgb) → new_ltEs11(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_@2, dea), deb)) → new_ltEs4(xwv43000, xwv44000, dea, deb)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Ratio, dec)) → new_ltEs10(xwv43000, xwv44000, dec)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, dda), bgb) → new_ltEs10(xwv43000, xwv44000, dda)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, bgb) → new_ltEs8(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, ddg), ddh), bgb) → new_ltEs18(xwv43000, xwv44000, ddg, ddh)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, ddf), bgb) → new_ltEs13(xwv43000, xwv44000, ddf)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, chg), chh)) → new_ltEs18(xwv43000, xwv44000, chg, chh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Maybe, deh)) → new_ltEs13(xwv43000, xwv44000, deh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_Either, dfa), dfb)) → new_ltEs18(xwv43000, xwv44000, dfa, dfb)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, chf)) → new_ltEs13(xwv43000, xwv44000, chf)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs13(Nothing, Just(xwv44000), bfh) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_ltEs13(Nothing, Nothing, bfh) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, cgg), cgh)) → new_ltEs4(xwv43000, xwv44000, cgg, cgh)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Nothing, bfh) → False
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, cha)) → new_ltEs10(xwv43000, xwv44000, cha)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], chb)) → new_ltEs12(xwv43000, xwv44000, chb)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(xwv43000, xwv44000, chc, chd, che)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), eb, ec, ed) → new_pePe(new_lt4(xwv43000, xwv44000, eb), new_asAs(new_esEs19(xwv43000, xwv44000, eb), new_pePe(new_lt5(xwv43001, xwv44001, ec), new_asAs(new_esEs20(xwv43001, xwv44001, ec), new_ltEs6(xwv43002, xwv44002, ed)))))
new_lt4(xwv43000, xwv44000, app(ty_[], eh)) → new_lt12(xwv43000, xwv44000, eh)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_lt14(xwv43000, xwv44000, fd)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_lt19(xwv43000, xwv44000, ff, fg)
new_lt4(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_lt10(xwv43000, xwv44000, eg)
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_lt13(xwv43000, xwv44000, fa, fb, fc)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_lt8(xwv43000, xwv44000, ee, ef)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_esEs5(xwv43000, xwv44000, fa, fb, fc)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_esEs6(xwv43000, xwv44000, fd)
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_esEs7(xwv43000, xwv44000, ff, fg)
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_esEs14(xwv43000, xwv44000, eg)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_[], eh)) → new_esEs8(xwv43000, xwv44000, eh)
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_esEs4(xwv43000, xwv44000, ee, ef)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_lt10(xwv43001, xwv44001, gb)
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_[], gc)) → new_lt12(xwv43001, xwv44001, gc)
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_lt13(xwv43001, xwv44001, gd, ge, gf)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_lt14(xwv43001, xwv44001, gg)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_lt19(xwv43001, xwv44001, gh, ha)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_lt8(xwv43001, xwv44001, fh, ga)
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_esEs14(xwv43001, xwv44001, gb)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(ty_[], gc)) → new_esEs8(xwv43001, xwv44001, gc)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_esEs5(xwv43001, xwv44001, gd, ge, gf)
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_esEs7(xwv43001, xwv44001, gh, ha)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_esEs6(xwv43001, xwv44001, gg)
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_esEs4(xwv43001, xwv44001, fh, ga)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs5(xwv43002, xwv44002, hf, hg, hh)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, hd)) → new_ltEs10(xwv43002, xwv44002, hd)
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, bab), bac)) → new_ltEs18(xwv43002, xwv44002, bab, bac)
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, hb), hc)) → new_ltEs4(xwv43002, xwv44002, hb, hc)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, baa)) → new_ltEs13(xwv43002, xwv44002, baa)
new_ltEs6(xwv43002, xwv44002, app(ty_[], he)) → new_ltEs12(xwv43002, xwv44002, he)
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_asAs(False, xwv95) → False
new_asAs(True, xwv95) → xwv95
new_pePe(False, xwv181) → xwv181
new_pePe(True, xwv181) → True
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_ltEs12(xwv4300, xwv4400, beh) → new_fsEs(new_compare1(xwv4300, xwv4400, beh))
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), beh) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, beh), beh)
new_compare1([], :(xwv44000, xwv44001), beh) → LT
new_compare1(:(xwv43000, xwv43001), [], beh) → GT
new_compare1([], [], beh) → EQ
new_primCompAux1(xwv43000, xwv44000, xwv182, beh) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, beh))
new_compare32(xwv43000, xwv44000, app(ty_Ratio, cbc)) → new_compare7(xwv43000, xwv44000, cbc)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, cba), cbb)) → new_compare15(xwv43000, xwv44000, cba, cbb)
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(ty_Either, cca), ccb)) → new_compare12(xwv43000, xwv44000, cca, ccb)
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, cbe), cbf), cbg)) → new_compare16(xwv43000, xwv44000, cbe, cbf, cbg)
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(ty_[], cbd)) → new_compare1(xwv43000, xwv44000, cbd)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(ty_Maybe, cbh)) → new_compare13(xwv43000, xwv44000, cbh)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_primCompAux0(xwv195, GT) → GT
new_primCompAux0(xwv195, LT) → LT
new_primCompAux0(xwv195, EQ) → xwv195
new_compare31(@0, @0) → EQ
new_compare13(xwv43000, xwv44000, baf) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, baf), baf)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, cfe), cff), cfg)) → new_esEs5(xwv4000, xwv3000, cfe, cff, cfg)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Nothing, Nothing, cfd) → True
new_esEs6(Just(xwv4000), Nothing, cfd) → False
new_esEs6(Nothing, Just(xwv3000), cfd) → False
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, cga), cgb)) → new_esEs4(xwv4000, xwv3000, cga, cgb)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], cfh)) → new_esEs8(xwv4000, xwv3000, cfh)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, cge)) → new_esEs14(xwv4000, xwv3000, cge)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_compare26(xwv43000, xwv44000, False, baf) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, baf), baf)
new_compare26(xwv43000, xwv44000, True, baf) → EQ
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, cgf)) → new_esEs6(xwv4000, xwv3000, cgf)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, cdb), cdc), ccc) → new_esEs7(xwv4000, xwv3000, cdb, cdc)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Maybe, ceh)) → new_esEs6(xwv4000, xwv3000, ceh)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, cgc), cgd)) → new_esEs7(xwv4000, xwv3000, cgc, cgd)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, cde), ccc) → new_esEs6(xwv4000, xwv3000, cde)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_Either, cee), cef)) → new_esEs7(xwv4000, xwv3000, cee, cef)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, ccd), cce), ccf), ccc) → new_esEs5(xwv4000, xwv3000, ccd, cce, ccf)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, ccc) → new_esEs10(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs5(xwv4000, xwv3000, cdg, cdh, cea)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, ccc) → new_esEs18(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Left(xwv3000), cdf, ccc) → False
new_esEs7(Left(xwv4000), Right(xwv3000), cdf, ccc) → False
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, ccc) → new_esEs12(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Ratio, ceg)) → new_esEs14(xwv4000, xwv3000, ceg)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, cdd), ccc) → new_esEs14(xwv4000, xwv3000, cdd)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, ccc) → new_esEs11(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_@2, cec), ced)) → new_esEs4(xwv4000, xwv3000, cec, ced)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], ccg), ccc) → new_esEs8(xwv4000, xwv3000, ccg)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, cch), cda), ccc) → new_esEs4(xwv4000, xwv3000, cch, cda)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, ccc) → new_esEs17(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_[], ceb)) → new_esEs8(xwv4000, xwv3000, ceb)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, ccc) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, ccc) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, ccc) → new_esEs13(xwv4000, xwv3000)
new_esEs13(@0, @0) → True
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_primEqNat0(Succ(xwv40000), Zero) → False
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_esEs15(EQ, EQ) → True
new_esEs15(LT, EQ) → False
new_esEs15(EQ, LT) → False
new_esEs15(GT, EQ) → False
new_esEs15(GT, LT) → False
new_esEs15(LT, LT) → True
new_esEs8([], [], ca) → True
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), ca) → new_asAs(new_esEs9(xwv4000, xwv3000, ca), new_esEs8(xwv4001, xwv3001, ca))
new_esEs8(:(xwv4000, xwv4001), [], ca) → False
new_esEs8([], :(xwv3000, xwv3001), ca) → False
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, dc)) → new_esEs14(xwv4000, xwv3000, dc)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, dd)) → new_esEs6(xwv4000, xwv3000, dd)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(ty_[], ce)) → new_esEs8(xwv4000, xwv3000, ce)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, cb), cc), cd)) → new_esEs5(xwv4000, xwv3000, cb, cc, cd)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, cf), cg)) → new_esEs4(xwv4000, xwv3000, cf, cg)
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, da), db)) → new_esEs7(xwv4000, xwv3000, da, db)
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), cfa, cfb) → new_asAs(new_esEs26(xwv4000, xwv3000, cfa), new_esEs27(xwv4001, xwv3001, cfb))
new_esEs26(xwv4000, xwv3000, app(ty_[], dad)) → new_esEs8(xwv4000, xwv3000, dad)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dbb)) → new_esEs6(xwv4000, xwv3000, dbb)
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dag), dah)) → new_esEs7(xwv4000, xwv3000, dag, dah)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dae), daf)) → new_esEs4(xwv4000, xwv3000, dae, daf)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dba)) → new_esEs14(xwv4000, xwv3000, dba)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, daa), dab), dac)) → new_esEs5(xwv4000, xwv3000, daa, dab, dac)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, dcd)) → new_esEs6(xwv4001, xwv3001, dcd)
new_esEs27(xwv4001, xwv3001, app(ty_[], dbf)) → new_esEs8(xwv4001, xwv3001, dbf)
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, dca), dcb)) → new_esEs7(xwv4001, xwv3001, dca, dcb)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dbc), dbd), dbe)) → new_esEs5(xwv4001, xwv3001, dbc, dbd, dbe)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, dcc)) → new_esEs14(xwv4001, xwv3001, dcc)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, dbg), dbh)) → new_esEs4(xwv4001, xwv3001, dbg, dbh)
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), cfc) → new_asAs(new_esEs24(xwv4000, xwv3000, cfc), new_esEs25(xwv4001, xwv3001, cfc))
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), bag, bah, bba) → new_asAs(new_esEs21(xwv4000, xwv3000, bag), new_asAs(new_esEs22(xwv4001, xwv3001, bah), new_esEs23(xwv4002, xwv3002, bba)))
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, bcb)) → new_esEs14(xwv4000, xwv3000, bcb)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, bcc)) → new_esEs6(xwv4000, xwv3000, bcc)
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs5(xwv4000, xwv3000, bbb, bbc, bbd)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, bbf), bbg)) → new_esEs4(xwv4000, xwv3000, bbf, bbg)
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, bbh), bca)) → new_esEs7(xwv4000, xwv3000, bbh, bca)
new_esEs21(xwv4000, xwv3000, app(ty_[], bbe)) → new_esEs8(xwv4000, xwv3000, bbe)
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, bde)) → new_esEs6(xwv4001, xwv3001, bde)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, bdd)) → new_esEs14(xwv4001, xwv3001, bdd)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(ty_[], bcg)) → new_esEs8(xwv4001, xwv3001, bcg)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, bdb), bdc)) → new_esEs7(xwv4001, xwv3001, bdb, bdc)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, bch), bda)) → new_esEs4(xwv4001, xwv3001, bch, bda)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, bcd), bce), bcf)) → new_esEs5(xwv4001, xwv3001, bcd, bce, bcf)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, bed), bee)) → new_esEs7(xwv4002, xwv3002, bed, bee)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, beb), bec)) → new_esEs4(xwv4002, xwv3002, beb, bec)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, app(ty_[], bea)) → new_esEs8(xwv4002, xwv3002, bea)
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, bef)) → new_esEs14(xwv4002, xwv3002, bef)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, beg)) → new_esEs6(xwv4002, xwv3002, beg)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs5(xwv4002, xwv3002, bdf, bdg, bdh)
new_esEs17(True, True) → True
new_esEs17(False, False) → True
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_compare14(xwv43000, xwv44000, False, baf) → GT
new_compare14(xwv43000, xwv44000, True, baf) → LT
new_compare16(xwv43000, xwv44000, de, df, dg) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_compare27(xwv43000, xwv44000, False, de, df, dg) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_compare27(xwv43000, xwv44000, True, de, df, dg) → EQ
new_compare10(xwv43000, xwv44000, True, de, df, dg) → LT
new_compare10(xwv43000, xwv44000, False, de, df, dg) → GT
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_compare23(xwv43000, xwv44000, True) → EQ
new_compare112(xwv43000, xwv44000, True) → LT
new_compare112(xwv43000, xwv44000, False) → GT
new_compare12(xwv43000, xwv44000, bad, bae) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, bad, bae), bad, bae)
new_compare25(Left(xwv4300), Right(xwv4400), False, bfc, bfd) → LT
new_compare25(Left(xwv4300), Left(xwv4400), False, bfc, bfd) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bfc), bfc, bfd)
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, bfe), bff)) → new_ltEs4(xwv4300, xwv4400, bfe, bff)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, bfg)) → new_ltEs10(xwv4300, xwv4400, bfg)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(ty_[], beh)) → new_ltEs12(xwv4300, xwv4400, beh)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, bga), bgb)) → new_ltEs18(xwv4300, xwv4400, bga, bgb)
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs5(xwv4300, xwv4400, eb, ec, ed)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, bfh)) → new_ltEs13(xwv4300, xwv4400, bfh)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, bfa, bfb) → LT
new_compare17(xwv160, xwv161, False, bfa, bfb) → GT
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), bfe, bff) → new_pePe(new_lt20(xwv43000, xwv44000, bfe), new_asAs(new_esEs28(xwv43000, xwv44000, bfe), new_ltEs21(xwv43001, xwv44001, bff)))
new_lt20(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_lt19(xwv43000, xwv44000, bad, bae)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_lt8(xwv43000, xwv44000, dh, ea)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_lt13(xwv43000, xwv44000, de, df, dg)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_[], dce)) → new_lt12(xwv43000, xwv44000, dce)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_lt14(xwv43000, xwv44000, baf)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_lt10(xwv43000, xwv44000, dcf)
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xwv43000, xwv44000, de, df, dg)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], dce)) → new_esEs8(xwv43000, xwv44000, dce)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_esEs6(xwv43000, xwv44000, baf)
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_esEs7(xwv43000, xwv44000, bad, bae)
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_esEs14(xwv43000, xwv44000, dcf)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_esEs4(xwv43000, xwv44000, dh, ea)
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dff)) → new_ltEs12(xwv43001, xwv44001, dff)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, dgb)) → new_ltEs13(xwv43001, xwv44001, dgb)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, dfc), dfd)) → new_ltEs4(xwv43001, xwv44001, dfc, dfd)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dfe)) → new_ltEs10(xwv43001, xwv44001, dfe)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dfg), dfh), dga)) → new_ltEs5(xwv43001, xwv44001, dfg, dfh, dga)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, dgc), dgd)) → new_ltEs18(xwv43001, xwv44001, dgc, dgd)
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_lt10(xwv43000, xwv44000, dcf) → new_esEs15(new_compare7(xwv43000, xwv44000, dcf), LT)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_lt14(xwv43000, xwv44000, baf) → new_esEs15(new_compare13(xwv43000, xwv44000, baf), LT)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_lt12(xwv43000, xwv44000, dce) → new_esEs15(new_compare1(xwv43000, xwv44000, dce), LT)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_compare28(xwv43000, xwv44000, True) → EQ
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_compare111(xwv43000, xwv44000, False) → GT
new_compare111(xwv43000, xwv44000, True) → LT
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_lt13(xwv43000, xwv44000, de, df, dg) → new_esEs15(new_compare16(xwv43000, xwv44000, de, df, dg), LT)
new_lt8(xwv43000, xwv44000, dh, ea) → new_esEs15(new_compare15(xwv43000, xwv44000, dh, ea), LT)
new_compare15(xwv43000, xwv44000, dh, ea) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare24(xwv43000, xwv44000, False, dh, ea) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare24(xwv43000, xwv44000, True, dh, ea) → EQ
new_compare11(xwv43000, xwv44000, True, dh, ea) → LT
new_compare11(xwv43000, xwv44000, False, dh, ea) → GT
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_lt19(xwv43000, xwv44000, bad, bae) → new_esEs15(new_compare12(xwv43000, xwv44000, bad, bae), LT)

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_ltEs6(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare10(x0, x1, False, x2, x3, x4)
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare11(x0, x1, True, x2, x3)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(ty_[], x2))
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs22(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs19(x0, x1, ty_Integer)
new_lt10(x0, x1, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_compare111(x0, x1, True)
new_ltEs16(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs26(x0, x1, ty_Int)
new_ltEs12(x0, x1, x2)
new_esEs22(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt4(x0, x1, ty_Ordering)
new_esEs10(Integer(x0), Integer(x1))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, x2)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Char)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(False, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, True, x2, x3)
new_esEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Double)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs6(Nothing, Nothing, x0)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, ty_@0)
new_primCmpNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_primPlusNat1(Succ(x0), x1)
new_fsEs(x0)
new_compare30(Double(x0, x1), Double(x2, x3))
new_primEqNat0(Zero, Zero)
new_ltEs19(x0, x1, ty_Float)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs30(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Pos(x0), Pos(x1))
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_compare32(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_compare26(x0, x1, True, x2)
new_compare25(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs9(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Zero)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_sr(Integer(x0), Integer(x1))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs15(x0, x1)
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt4(x0, x1, ty_Double)
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primCompAux0(x0, GT)
new_primCompAux0(x0, LT)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_[], x2))
new_pePe(True, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_@0)
new_compare14(x0, x1, True, x2)
new_ltEs13(Nothing, Nothing, x0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare32(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_compare19(x0, x1)
new_ltEs21(x0, x1, ty_Double)
new_sr0(x0, x1)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_compare29(Char(x0), Char(x1))
new_compare16(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Double)
new_lt17(x0, x1)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs20(x0, x1, ty_Double)
new_esEs8([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_lt5(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_primCmpNat2(x0, Succ(x1))
new_ltEs21(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs30(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Int)
new_compare1(:(x0, x1), [], x2)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs30(x0, x1, ty_@0)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs6(Just(x0), Nothing, x1)
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_lt6(x0, x1)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(LT, LT)
new_lt5(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1([], [], x0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs27(x0, x1, ty_Integer)
new_lt14(x0, x1, x2)
new_compare26(x0, x1, False, x2)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_compare31(@0, @0)
new_esEs15(EQ, GT)
new_esEs15(GT, EQ)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_Bool)
new_ltEs9(True, True)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_asAs(False, x0)
new_pePe(False, x0)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Nothing, Just(x0), x1)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, True, x2, x3)
new_compare18(Float(x0, x1), Float(x2, x3))
new_esEs30(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_lt19(x0, x1, x2, x3)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_esEs23(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs20(x0, x1, ty_Float)
new_compare12(x0, x1, x2, x3)
new_ltEs10(x0, x1, x2)
new_lt9(x0, x1)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primCmpNat2(x0, Zero)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Char)
new_compare17(x0, x1, False, x2, x3)
new_lt4(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_compare24(x0, x1, False, x2, x3)
new_esEs23(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_compare14(x0, x1, False, x2)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), Succ(x1))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True)
new_esEs16(Char(x0), Char(x1))
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs11(LT, LT)
new_esEs8([], [], x0)
new_esEs21(x0, x1, ty_Int)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs11(EQ, LT)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, x2, x3)
new_ltEs13(Just(x0), Nothing, x1)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt18(x0, x1)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Just(x0), x1)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Succ(x0))
new_compare110(x0, x1, False, x2, x3)
new_esEs15(GT, GT)
new_lt12(x0, x1, x2)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_lt8(x0, x1, x2, x3)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_compare23(x0, x1, False)
new_esEs23(x0, x1, ty_@0)
new_compare27(x0, x1, False, x2, x3, x4)
new_lt11(x0, x1)
new_compare32(x0, x1, ty_Float)
new_lt13(x0, x1, x2, x3, x4)
new_compare8(Integer(x0), Integer(x1))
new_esEs30(x0, x1, ty_Double)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Zero)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_not(True)
new_esEs24(x0, x1, ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_lt4(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs15(EQ, EQ)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs8(x0, x1)
new_not(False)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs12(x0, x1)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Integer)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_compare28(x0, x1, True)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, ty_Int)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_compare1([], :(x0, x1), x2)
new_esEs28(x0, x1, ty_Char)
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(LT, EQ)
new_esEs15(EQ, LT)
new_ltEs6(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs17(True, True)
new_compare17(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Int)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare111(x0, x1, False)
new_compare10(x0, x1, True, x2, x3, x4)
new_primPlusNat0(Succ(x0), Zero)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Float)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(x0, x1)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs6(x0, x1, ty_@0)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs8(:(x0, x1), [], x2)
new_esEs9(x0, x1, ty_Double)
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_ltEs11(GT, GT)

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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                  ↳ QDP

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

new_delFromFM(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), bc, bd, be) → new_delFromFM2(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Left(xwv300), new_esEs29(xwv400, xwv300, bc), bc, bd), GT), bc, bd, be)
new_delFromFM(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), bc, bd, be) → new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), False, bc, bd), GT), bc, bd, be)
new_delFromFM2(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, h, ba, bb) → new_delFromFM(xwv17, Left(xwv18), h, ba, bb)
new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, bc, bd, be) → new_delFromFM10(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), new_esEs7(Left(xwv400), Right(xwv300), bc, bd), bc, bd), LT), bc, bd, be)
new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv34, Left(xwv400), bc, bd, be)
new_delFromFM2(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, False, h, ba, bb) → new_delFromFM1(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, new_esEs15(new_compare25(Left(xwv18), Left(xwv13), new_esEs7(Left(xwv18), Left(xwv13), h, ba), h, ba), LT), h, ba, bb)
new_delFromFM10(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv33, Left(xwv400), bc, bd, be)
new_delFromFM1(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, h, ba, bb) → new_delFromFM(xwv16, Left(xwv18), h, ba, bb)

The TRS R consists of the following rules:

new_esEs30(xwv400, xwv300, app(ty_Maybe, cah)) → new_esEs6(xwv400, xwv300, cah)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, app(ty_[], dad)) → new_esEs8(xwv4000, xwv3000, dad)
new_compare32(xwv43000, xwv44000, app(ty_Ratio, cbc)) → new_compare7(xwv43000, xwv44000, cbc)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, bed), bee)) → new_esEs7(xwv4002, xwv3002, bed, bee)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, cdb), cdc), ccc) → new_esEs7(xwv4000, xwv3000, cdb, cdc)
new_lt4(xwv43000, xwv44000, app(ty_[], eh)) → new_lt12(xwv43000, xwv44000, eh)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dff)) → new_ltEs12(xwv43001, xwv44001, dff)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs11(LT, GT) → True
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_compare10(xwv43000, xwv44000, True, de, df, dg) → LT
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), beh) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, beh), beh)
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_lt20(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_lt19(xwv43000, xwv44000, bad, bae)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_lt14(xwv43000, xwv44000, fd)
new_compare110(xwv167, xwv168, True, bhe, bhf) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, bgb) → new_ltEs9(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, beb), bec)) → new_esEs4(xwv4002, xwv3002, beb, bec)
new_compare25(Right(xwv4300), Left(xwv4400), False, bfc, bfd) → GT
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_esEs15(EQ, EQ) → True
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_lt10(xwv43001, xwv44001, gb)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_primMulNat0(Zero, Zero) → Zero
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_compare26(xwv43000, xwv44000, False, baf) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, baf), baf)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, ccd), cce), ccf), ccc) → new_esEs5(xwv4000, xwv3000, ccd, cce, ccf)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, ccc) → new_esEs10(xwv4000, xwv3000)
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs5(xwv43002, xwv44002, hf, hg, hh)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, dgb)) → new_ltEs13(xwv43001, xwv44001, dgb)
new_ltEs13(Nothing, Just(xwv44000), bfh) → True
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Maybe, deh)) → new_ltEs13(xwv43000, xwv44000, deh)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_lt8(xwv43000, xwv44000, dh, ea)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, bhb)) → new_ltEs13(xwv4300, xwv4400, bhb)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs9(True, False) → False
new_compare1([], :(xwv44000, xwv44001), beh) → LT
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs30(xwv400, xwv300, app(app(ty_Either, cae), caf)) → new_esEs7(xwv400, xwv300, cae, caf)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_esEs14(xwv43001, xwv44001, gb)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(app(ty_@3, dee), def), deg)) → new_ltEs5(xwv43000, xwv44000, dee, def, deg)
new_esEs17(True, True) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, bgb) → new_ltEs14(xwv43000, xwv44000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs5(xwv4000, xwv3000, cdg, cdh, cea)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), bag, bah, bba) → new_asAs(new_esEs21(xwv4000, xwv3000, bag), new_asAs(new_esEs22(xwv4001, xwv3001, bah), new_esEs23(xwv4002, xwv3002, bba)))
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, ddg), ddh), bgb) → new_ltEs18(xwv43000, xwv44000, ddg, ddh)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, bde)) → new_esEs6(xwv4001, xwv3001, bde)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_compare16(xwv43000, xwv44000, de, df, dg) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, dcd)) → new_esEs6(xwv4001, xwv3001, dcd)
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, bdd)) → new_esEs14(xwv4001, xwv3001, bdd)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, bcb)) → new_esEs14(xwv4000, xwv3000, bcb)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, hd)) → new_ltEs10(xwv43002, xwv44002, hd)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Left(xwv44000), bga, bgb) → False
new_lt10(xwv43000, xwv44000, dcf) → new_esEs15(new_compare7(xwv43000, xwv44000, dcf), LT)
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, dfc), dfd)) → new_ltEs4(xwv43001, xwv44001, dfc, dfd)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_esEs5(xwv43000, xwv44000, fa, fb, fc)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], ddb), bgb) → new_ltEs12(xwv43000, xwv44000, ddb)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xwv43000, xwv44000, de, df, dg)
new_esEs22(xwv4001, xwv3001, app(ty_[], bcg)) → new_esEs8(xwv4001, xwv3001, bcg)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, bdb), bdc)) → new_esEs7(xwv4001, xwv3001, bdb, bdc)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, cba), cbb)) → new_compare15(xwv43000, xwv44000, cba, cbb)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, ccc) → new_esEs18(xwv4000, xwv3000)
new_lt13(xwv43000, xwv44000, de, df, dg) → new_esEs15(new_compare16(xwv43000, xwv44000, de, df, dg), LT)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Maybe, ceh)) → new_esEs6(xwv4000, xwv3000, ceh)
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_pePe(False, xwv181) → xwv181
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(ty_[], dbf)) → new_esEs8(xwv4001, xwv3001, dbf)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Left(xwv3000), cdf, ccc) → False
new_esEs7(Left(xwv4000), Right(xwv3000), cdf, ccc) → False
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_compare25(Left(xwv4300), Right(xwv4400), False, bfc, bfd) → LT
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, bfe), bff)) → new_ltEs4(xwv4300, xwv4400, bfe, bff)
new_esEs30(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, ddc), ddd), dde), bgb) → new_ltEs5(xwv43000, xwv44000, ddc, ddd, dde)
new_compare23(xwv43000, xwv44000, True) → EQ
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, dca), dcb)) → new_esEs7(xwv4001, xwv3001, dca, dcb)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_esEs6(xwv43000, xwv44000, fd)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, bch), bda)) → new_esEs4(xwv4001, xwv3001, bch, bda)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_lt13(xwv43000, xwv44000, de, df, dg)
new_compare24(xwv43000, xwv44000, False, dh, ea) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs12(xwv4300, xwv4400, beh) → new_fsEs(new_compare1(xwv4300, xwv4400, beh))
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_esEs7(xwv43000, xwv44000, ff, fg)
new_esEs15(LT, EQ) → False
new_esEs15(EQ, LT) → False
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_compare15(xwv43000, xwv44000, dh, ea) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare111(xwv43000, xwv44000, False) → GT
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_compare111(xwv43000, xwv44000, True) → LT
new_ltEs20(xwv4300, xwv4400, app(ty_[], bgf)) → new_ltEs12(xwv4300, xwv4400, bgf)
new_esEs29(xwv400, xwv300, app(app(ty_@2, cfa), cfb)) → new_esEs4(xwv400, xwv300, cfa, cfb)
new_esEs29(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, cfe), cff), cfg)) → new_esEs5(xwv4000, xwv3000, cfe, cff, cfg)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, bgc), bgd)) → new_ltEs4(xwv4300, xwv4400, bgc, bgd)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, ccc) → new_esEs12(xwv4000, xwv3000)
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_ltEs13(Nothing, Nothing, bfh) → True
new_lt4(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_lt19(xwv43000, xwv44000, ff, fg)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs15(EQ, GT) → False
new_esEs15(GT, EQ) → False
new_esEs20(xwv43001, xwv44001, app(ty_[], gc)) → new_esEs8(xwv43001, xwv44001, gc)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_Either, dfa), dfb)) → new_ltEs18(xwv43000, xwv44000, dfa, dfb)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, cgg), cgh)) → new_ltEs4(xwv43000, xwv44000, cgg, cgh)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, dc)) → new_esEs14(xwv4000, xwv3000, dc)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, bab), bac)) → new_ltEs18(xwv43002, xwv44002, bab, bac)
new_lt19(xwv43000, xwv44000, bad, bae) → new_esEs15(new_compare12(xwv43000, xwv44000, bad, bae), LT)
new_pePe(True, xwv181) → True
new_primEqNat0(Zero, Zero) → True
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), cfc) → new_asAs(new_esEs24(xwv4000, xwv3000, cfc), new_esEs25(xwv4001, xwv3001, cfc))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, bgb) → new_ltEs17(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, app(ty_Maybe, cfd)) → new_esEs6(xwv400, xwv300, cfd)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dbb)) → new_esEs6(xwv4000, xwv3000, dbb)
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), bfe, bff) → new_pePe(new_lt20(xwv43000, xwv44000, bfe), new_asAs(new_esEs28(xwv43000, xwv44000, bfe), new_ltEs21(xwv43001, xwv44001, bff)))
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, dd)) → new_esEs6(xwv4000, xwv3000, dd)
new_esEs17(False, False) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_lt5(xwv43001, xwv44001, app(ty_[], gc)) → new_lt12(xwv43001, xwv44001, gc)
new_compare110(xwv167, xwv168, False, bhe, bhf) → GT
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_lt13(xwv43001, xwv44001, gd, ge, gf)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), eb, ec, ed) → new_pePe(new_lt4(xwv43000, xwv44000, eb), new_asAs(new_esEs19(xwv43000, xwv44000, eb), new_pePe(new_lt5(xwv43001, xwv44001, ec), new_asAs(new_esEs20(xwv43001, xwv44001, ec), new_ltEs6(xwv43002, xwv44002, ed)))))
new_esEs30(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_Either, cee), cef)) → new_esEs7(xwv4000, xwv3000, cee, cef)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, bfa, bfb) → LT
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, bgg), bgh), bha)) → new_ltEs5(xwv4300, xwv4400, bgg, bgh, bha)
new_esEs29(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare10(xwv43000, xwv44000, False, de, df, dg) → GT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, bgb) → new_ltEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], dce)) → new_esEs8(xwv43000, xwv44000, dce)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, bgb) → new_ltEs7(xwv43000, xwv44000)
new_primCmpNat1(Zero, xwv4300) → LT
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_esEs8([], [], ca) → True
new_lt4(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_lt10(xwv43000, xwv44000, eg)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primCompAux0(xwv195, GT) → GT
new_compare13(xwv43000, xwv44000, baf) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, baf), baf)
new_ltEs18(Left(xwv43000), Right(xwv44000), bga, bgb) → True
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_lt13(xwv43000, xwv44000, fa, fb, fc)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare24(xwv43000, xwv44000, True, dh, ea) → EQ
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, bcd), bce), bcf)) → new_esEs5(xwv4001, xwv3001, bcd, bce, bcf)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dag), dah)) → new_esEs7(xwv4000, xwv3000, dag, dah)
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, bhc), bhd)) → new_ltEs18(xwv4300, xwv4400, bhc, bhd)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_lt8(xwv43000, xwv44000, ee, ef)
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs6(Nothing, Nothing, cfd) → True
new_compare112(xwv43000, xwv44000, True) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, bgb) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_lt14(xwv43001, xwv44001, gg)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, hb), hc)) → new_ltEs4(xwv43002, xwv44002, hb, hc)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(ty_[], dce)) → new_lt12(xwv43000, xwv44000, dce)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, bcc)) → new_esEs6(xwv4000, xwv3000, bcc)
new_esEs9(xwv4000, xwv3000, app(ty_[], ce)) → new_esEs8(xwv4000, xwv3000, ce)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_compare14(xwv43000, xwv44000, False, baf) → GT
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, bfg)) → new_ltEs10(xwv4300, xwv4400, bfg)
new_esEs6(Just(xwv4000), Nothing, cfd) → False
new_esEs6(Nothing, Just(xwv3000), cfd) → False
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_esEs23(xwv4002, xwv3002, app(ty_[], bea)) → new_esEs8(xwv4002, xwv3002, bea)
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, bef)) → new_esEs14(xwv4002, xwv3002, bef)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_primCompAux1(xwv43000, xwv44000, xwv182, beh) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, beh))
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dfe)) → new_ltEs10(xwv43001, xwv44001, dfe)
new_lt8(xwv43000, xwv44000, dh, ea) → new_esEs15(new_compare15(xwv43000, xwv44000, dh, ea), LT)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Ratio, ceg)) → new_esEs14(xwv4000, xwv3000, ceg)
new_compare32(xwv43000, xwv44000, app(app(ty_Either, cca), ccb)) → new_compare12(xwv43000, xwv44000, cca, ccb)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dae), daf)) → new_esEs4(xwv4000, xwv3000, dae, daf)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dbc), dbd), dbe)) → new_esEs5(xwv4001, xwv3001, dbc, dbd, dbe)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_[], ded)) → new_ltEs12(xwv43000, xwv44000, ded)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, chg), chh)) → new_ltEs18(xwv43000, xwv44000, chg, chh)
new_esEs30(xwv400, xwv300, app(ty_Ratio, cag)) → new_esEs14(xwv400, xwv300, cag)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_esEs29(xwv400, xwv300, app(ty_[], ca)) → new_esEs8(xwv400, xwv300, ca)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, dcg), dch), bgb) → new_ltEs4(xwv43000, xwv44000, dcg, dch)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, bgb) → new_ltEs11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_esEs29(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare11(xwv43000, xwv44000, True, dh, ea) → LT
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, cbe), cbf), cbg)) → new_compare16(xwv43000, xwv44000, cbe, cbf, cbg)
new_compare12(xwv43000, xwv44000, bad, bae) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, bad, bae), bad, bae)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), cfa, cfb) → new_asAs(new_esEs26(xwv4000, xwv3000, cfa), new_esEs27(xwv4001, xwv3001, cfb))
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_esEs6(xwv43000, xwv44000, baf)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs11(GT, LT) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_esEs13(@0, @0) → True
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_esEs7(xwv43000, xwv44000, bad, bae)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_esEs14(xwv43000, xwv44000, eg)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_@2, dea), deb)) → new_ltEs4(xwv43000, xwv44000, dea, deb)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs11(LT, EQ) → True
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Ratio, dec)) → new_ltEs10(xwv43000, xwv44000, dec)
new_compare17(xwv160, xwv161, False, bfa, bfb) → GT
new_esEs30(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_esEs14(xwv43000, xwv44000, dcf)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs29(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_ltEs11(LT, LT) → True
new_compare26(xwv43000, xwv44000, True, baf) → EQ
new_primCompAux0(xwv195, LT) → LT
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_not(False) → True
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, bge)) → new_ltEs10(xwv4300, xwv4400, bge)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, cde), ccc) → new_esEs6(xwv4000, xwv3000, cde)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dba)) → new_esEs14(xwv4000, xwv3000, dba)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_compare32(xwv43000, xwv44000, app(ty_[], cbd)) → new_compare1(xwv43000, xwv44000, cbd)
new_ltEs19(xwv4300, xwv4400, app(ty_[], beh)) → new_ltEs12(xwv4300, xwv4400, beh)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_ltEs11(GT, GT) → True
new_compare28(xwv43000, xwv44000, True) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, bga), bgb)) → new_ltEs18(xwv4300, xwv4400, bga, bgb)
new_compare11(xwv43000, xwv44000, False, dh, ea) → GT
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_esEs5(xwv43001, xwv44001, gd, ge, gf)
new_compare32(xwv43000, xwv44000, app(ty_Maybe, cbh)) → new_compare13(xwv43000, xwv44000, cbh)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs5(xwv4000, xwv3000, bbb, bbc, bbd)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, cdd), ccc) → new_esEs14(xwv4000, xwv3000, cdd)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_lt14(xwv43000, xwv44000, baf) → new_esEs15(new_compare13(xwv43000, xwv44000, baf), LT)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, bbf), bbg)) → new_esEs4(xwv4000, xwv3000, bbf, bbg)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, ccc) → new_esEs11(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs9(True, True) → True
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_@2, cec), ced)) → new_esEs4(xwv4000, xwv3000, cec, ced)
new_primEqNat0(Succ(xwv40000), Zero) → False
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_primPlusNat0(Zero, Zero) → Zero
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, cb), cc), cd)) → new_esEs5(xwv4000, xwv3000, cb, cc, cd)
new_esEs15(LT, GT) → False
new_esEs15(GT, LT) → False
new_compare25(xwv430, xwv440, True, bfc, bfd) → EQ
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs9(False, False) → True
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs15(LT, LT) → True
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], ccg), ccc) → new_esEs8(xwv4000, xwv3000, ccg)
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dfg), dfh), dga)) → new_ltEs5(xwv43001, xwv44001, dfg, dfh, dga)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, bbh), bca)) → new_esEs7(xwv4000, xwv3000, bbh, bca)
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), ca) → new_asAs(new_esEs9(xwv4000, xwv3000, ca), new_esEs8(xwv4001, xwv3001, ca))
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, dda), bgb) → new_ltEs10(xwv43000, xwv44000, dda)
new_esEs29(xwv400, xwv300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xwv400, xwv300, bag, bah, bba)
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, cch), cda), ccc) → new_esEs4(xwv4000, xwv3000, cch, cda)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_ltEs11(EQ, EQ) → True
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_esEs7(xwv43001, xwv44001, gh, ha)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, chf)) → new_ltEs13(xwv43000, xwv44000, chf)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, cf), cg)) → new_esEs4(xwv4000, xwv3000, cf, cg)
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Nothing, bfh) → False
new_compare27(xwv43000, xwv44000, False, de, df, dg) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, dcc)) → new_esEs14(xwv4001, xwv3001, dcc)
new_esEs29(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_esEs6(xwv43001, xwv44001, gg)
new_compare31(@0, @0) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_esEs4(xwv43000, xwv44000, dh, ea)
new_asAs(False, xwv95) → False
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, cgf)) → new_esEs6(xwv4000, xwv3000, cgf)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_ltEs11(EQ, LT) → False
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs29(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_primCmpNat2(xwv4300, Zero) → GT
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, cga), cgb)) → new_esEs4(xwv4000, xwv3000, cga, cgb)
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, cha)) → new_ltEs10(xwv43000, xwv44000, cha)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, baa)) → new_ltEs13(xwv43002, xwv44002, baa)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, beg)) → new_esEs6(xwv4002, xwv3002, beg)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], chb)) → new_ltEs12(xwv43000, xwv44000, chb)
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_compare14(xwv43000, xwv44000, True, baf) → LT
new_lt12(xwv43000, xwv44000, dce) → new_esEs15(new_compare1(xwv43000, xwv44000, dce), LT)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_esEs21(xwv4000, xwv3000, app(ty_[], bbe)) → new_esEs8(xwv4000, xwv3000, bbe)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_lt14(xwv43000, xwv44000, baf)
new_compare25(Left(xwv4300), Left(xwv4400), False, bfc, bfd) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bfc), bfc, bfd)
new_ltEs9(False, True) → True
new_esEs30(xwv400, xwv300, app(ty_[], cab)) → new_esEs8(xwv400, xwv300, cab)
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_esEs4(xwv43001, xwv44001, fh, ga)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs5(xwv4300, xwv4400, eb, ec, ed)
new_ltEs6(xwv43002, xwv44002, app(ty_[], he)) → new_ltEs12(xwv43002, xwv44002, he)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, dbg), dbh)) → new_esEs4(xwv4001, xwv3001, dbg, dbh)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_lt19(xwv43001, xwv44001, gh, ha)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, bfh)) → new_ltEs13(xwv4300, xwv4400, bfh)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, ddf), bgb) → new_ltEs13(xwv43000, xwv44000, ddf)
new_compare112(xwv43000, xwv44000, False) → GT
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, app(app(ty_Either, cdf), ccc)) → new_esEs7(xwv400, xwv300, cdf, ccc)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, ccc) → new_esEs17(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_esEs29(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, bgb) → new_ltEs8(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_[], ceb)) → new_esEs8(xwv4000, xwv3000, ceb)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], cfh)) → new_esEs8(xwv4000, xwv3000, cfh)
new_asAs(True, xwv95) → xwv95
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, daa), dab), dac)) → new_esEs5(xwv4000, xwv3000, daa, dab, dac)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_lt8(xwv43001, xwv44001, fh, ga)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, ccc) → new_esEs15(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, cgc), cgd)) → new_esEs7(xwv4000, xwv3000, cgc, cgd)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_lt10(xwv43000, xwv44000, dcf)
new_compare1(:(xwv43000, xwv43001), [], beh) → GT
new_esEs19(xwv43000, xwv44000, app(ty_[], eh)) → new_esEs8(xwv43000, xwv44000, eh)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, da), db)) → new_esEs7(xwv4000, xwv3000, da, db)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, ccc) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, ccc) → new_esEs13(xwv4000, xwv3000)
new_compare27(xwv43000, xwv44000, True, de, df, dg) → EQ
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, dgc), dgd)) → new_ltEs18(xwv43001, xwv44001, dgc, dgd)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs5(xwv4002, xwv3002, bdf, bdg, bdh)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(xwv43000, xwv44000, chc, chd, che)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare25(Right(xwv4300), Right(xwv4400), False, bfc, bfd) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bfd), bfc, bfd)
new_ltEs10(xwv4300, xwv4400, bfg) → new_fsEs(new_compare7(xwv4300, xwv4400, bfg))
new_esEs29(xwv400, xwv300, app(ty_Ratio, cfc)) → new_esEs14(xwv400, xwv300, cfc)
new_esEs30(xwv400, xwv300, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(xwv400, xwv300, bhg, bhh, caa)
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs15(GT, GT) → True
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, cge)) → new_esEs14(xwv4000, xwv3000, cge)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_primCompAux0(xwv195, EQ) → xwv195
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_ltEs11(EQ, GT) → True
new_esEs8(:(xwv4000, xwv4001), [], ca) → False
new_esEs8([], :(xwv3000, xwv3001), ca) → False
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_esEs4(xwv43000, xwv44000, ee, ef)
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs30(xwv400, xwv300, app(app(ty_@2, cac), cad)) → new_esEs4(xwv400, xwv300, cac, cad)
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_not(True) → False
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_compare1([], [], beh) → EQ

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_ltEs6(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare10(x0, x1, False, x2, x3, x4)
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare11(x0, x1, True, x2, x3)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(ty_[], x2))
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_esEs29(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs22(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs19(x0, x1, ty_Integer)
new_lt10(x0, x1, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs29(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_compare111(x0, x1, True)
new_ltEs16(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs26(x0, x1, ty_Int)
new_ltEs12(x0, x1, x2)
new_esEs22(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt4(x0, x1, ty_Ordering)
new_esEs10(Integer(x0), Integer(x1))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, x2)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Char)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(False, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, True, x2, x3)
new_esEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Double)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs6(Nothing, Nothing, x0)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, ty_@0)
new_primCmpNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_primPlusNat1(Succ(x0), x1)
new_fsEs(x0)
new_compare30(Double(x0, x1), Double(x2, x3))
new_primEqNat0(Zero, Zero)
new_ltEs19(x0, x1, ty_Float)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs30(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Pos(x0), Pos(x1))
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_compare32(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, True, x2)
new_compare25(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs9(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Zero)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_sr(Integer(x0), Integer(x1))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs15(x0, x1)
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt4(x0, x1, ty_Double)
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primCompAux0(x0, GT)
new_primCompAux0(x0, LT)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_[], x2))
new_pePe(True, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_@0)
new_compare14(x0, x1, True, x2)
new_ltEs13(Nothing, Nothing, x0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare32(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_compare19(x0, x1)
new_ltEs21(x0, x1, ty_Double)
new_sr0(x0, x1)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_compare29(Char(x0), Char(x1))
new_compare16(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Double)
new_lt17(x0, x1)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Double)
new_esEs8([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_lt5(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_primCmpNat2(x0, Succ(x1))
new_ltEs21(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs30(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Int)
new_compare1(:(x0, x1), [], x2)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs30(x0, x1, ty_@0)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs6(Just(x0), Nothing, x1)
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(LT, LT)
new_lt5(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1([], [], x0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs27(x0, x1, ty_Integer)
new_lt14(x0, x1, x2)
new_compare26(x0, x1, False, x2)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_compare31(@0, @0)
new_esEs15(EQ, GT)
new_esEs15(GT, EQ)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_Bool)
new_ltEs9(True, True)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_asAs(False, x0)
new_pePe(False, x0)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Nothing, Just(x0), x1)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, True, x2, x3)
new_compare18(Float(x0, x1), Float(x2, x3))
new_esEs30(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_lt19(x0, x1, x2, x3)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_esEs23(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs20(x0, x1, ty_Float)
new_compare12(x0, x1, x2, x3)
new_ltEs10(x0, x1, x2)
new_lt9(x0, x1)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primCmpNat2(x0, Zero)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Char)
new_compare17(x0, x1, False, x2, x3)
new_lt4(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_compare24(x0, x1, False, x2, x3)
new_esEs23(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_compare14(x0, x1, False, x2)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), Succ(x1))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True)
new_esEs16(Char(x0), Char(x1))
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs11(LT, LT)
new_esEs8([], [], x0)
new_esEs21(x0, x1, ty_Int)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs11(EQ, LT)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, x2, x3)
new_ltEs13(Just(x0), Nothing, x1)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt18(x0, x1)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Just(x0), x1)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Succ(x0))
new_compare110(x0, x1, False, x2, x3)
new_esEs15(GT, GT)
new_lt12(x0, x1, x2)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_lt8(x0, x1, x2, x3)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_compare23(x0, x1, False)
new_esEs23(x0, x1, ty_@0)
new_compare27(x0, x1, False, x2, x3, x4)
new_lt11(x0, x1)
new_compare32(x0, x1, ty_Float)
new_lt13(x0, x1, x2, x3, x4)
new_compare8(Integer(x0), Integer(x1))
new_esEs30(x0, x1, ty_Double)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Zero)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_not(True)
new_esEs24(x0, x1, ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_lt4(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs15(EQ, EQ)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs8(x0, x1)
new_not(False)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs12(x0, x1)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Integer)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_compare28(x0, x1, True)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, ty_Int)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_compare1([], :(x0, x1), x2)
new_esEs28(x0, x1, ty_Char)
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(LT, EQ)
new_esEs15(EQ, LT)
new_ltEs6(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs17(True, True)
new_compare17(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Int)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare111(x0, x1, False)
new_compare10(x0, x1, True, x2, x3, x4)
new_primPlusNat0(Succ(x0), Zero)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Float)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(x0, x1)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs6(x0, x1, ty_@0)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs8(:(x0, x1), [], x2)
new_esEs9(x0, x1, ty_Double)
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_ltEs11(GT, GT)

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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                            ↳ QDP
                                              ↳ QReductionProof
                                  ↳ QDP

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

new_delFromFM(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), bc, bd, be) → new_delFromFM2(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Left(xwv300), new_esEs29(xwv400, xwv300, bc), bc, bd), GT), bc, bd, be)
new_delFromFM(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), bc, bd, be) → new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), False, bc, bd), GT), bc, bd, be)
new_delFromFM2(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, h, ba, bb) → new_delFromFM(xwv17, Left(xwv18), h, ba, bb)
new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, bc, bd, be) → new_delFromFM10(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), new_esEs7(Left(xwv400), Right(xwv300), bc, bd), bc, bd), LT), bc, bd, be)
new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv34, Left(xwv400), bc, bd, be)
new_delFromFM2(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, False, h, ba, bb) → new_delFromFM1(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, new_esEs15(new_compare25(Left(xwv18), Left(xwv13), new_esEs7(Left(xwv18), Left(xwv13), h, ba), h, ba), LT), h, ba, bb)
new_delFromFM10(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv33, Left(xwv400), bc, bd, be)
new_delFromFM1(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, h, ba, bb) → new_delFromFM(xwv16, Left(xwv18), h, ba, bb)

The TRS R consists of the following rules:

new_esEs29(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(app(ty_@2, cfa), cfb)) → new_esEs4(xwv400, xwv300, cfa, cfb)
new_esEs29(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(ty_Maybe, cfd)) → new_esEs6(xwv400, xwv300, cfd)
new_esEs29(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(ty_[], ca)) → new_esEs8(xwv400, xwv300, ca)
new_esEs29(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs29(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xwv400, xwv300, bag, bah, bba)
new_esEs29(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs29(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(app(ty_Either, cdf), ccc)) → new_esEs7(xwv400, xwv300, cdf, ccc)
new_esEs29(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(ty_Ratio, cfc)) → new_esEs14(xwv400, xwv300, cfc)
new_compare25(xwv430, xwv440, True, bfc, bfd) → EQ
new_compare25(Left(xwv4300), Left(xwv4400), False, bfc, bfd) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bfc), bfc, bfd)
new_esEs15(EQ, GT) → False
new_esEs15(LT, GT) → False
new_esEs15(GT, GT) → True
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, bfe), bff)) → new_ltEs4(xwv4300, xwv4400, bfe, bff)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, bfg)) → new_ltEs10(xwv4300, xwv4400, bfg)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(ty_[], beh)) → new_ltEs12(xwv4300, xwv4400, beh)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, bga), bgb)) → new_ltEs18(xwv4300, xwv4400, bga, bgb)
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs5(xwv4300, xwv4400, eb, ec, ed)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, bfh)) → new_ltEs13(xwv4300, xwv4400, bfh)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, bfa, bfb) → LT
new_compare17(xwv160, xwv161, False, bfa, bfb) → GT
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_not(False) → True
new_not(True) → False
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_primCmpNat2(xwv4300, Zero) → GT
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_primCmpNat1(Zero, xwv4300) → LT
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs13(Nothing, Just(xwv44000), bfh) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_ltEs13(Nothing, Nothing, bfh) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, cgg), cgh)) → new_ltEs4(xwv43000, xwv44000, cgg, cgh)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, ddg), ddh), bgb) → new_ltEs18(xwv43000, xwv44000, ddg, ddh)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, ddf), bgb) → new_ltEs13(xwv43000, xwv44000, ddf)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, chg), chh)) → new_ltEs18(xwv43000, xwv44000, chg, chh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Maybe, deh)) → new_ltEs13(xwv43000, xwv44000, deh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_Either, dfa), dfb)) → new_ltEs18(xwv43000, xwv44000, dfa, dfb)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, chf)) → new_ltEs13(xwv43000, xwv44000, chf)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Nothing, bfh) → False
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, cha)) → new_ltEs10(xwv43000, xwv44000, cha)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], chb)) → new_ltEs12(xwv43000, xwv44000, chb)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(xwv43000, xwv44000, chc, chd, che)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), eb, ec, ed) → new_pePe(new_lt4(xwv43000, xwv44000, eb), new_asAs(new_esEs19(xwv43000, xwv44000, eb), new_pePe(new_lt5(xwv43001, xwv44001, ec), new_asAs(new_esEs20(xwv43001, xwv44001, ec), new_ltEs6(xwv43002, xwv44002, ed)))))
new_lt4(xwv43000, xwv44000, app(ty_[], eh)) → new_lt12(xwv43000, xwv44000, eh)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_lt14(xwv43000, xwv44000, fd)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_lt19(xwv43000, xwv44000, ff, fg)
new_lt4(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_lt10(xwv43000, xwv44000, eg)
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_lt13(xwv43000, xwv44000, fa, fb, fc)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_lt8(xwv43000, xwv44000, ee, ef)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_esEs5(xwv43000, xwv44000, fa, fb, fc)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_esEs6(xwv43000, xwv44000, fd)
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_esEs7(xwv43000, xwv44000, ff, fg)
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_esEs14(xwv43000, xwv44000, eg)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_[], eh)) → new_esEs8(xwv43000, xwv44000, eh)
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_esEs4(xwv43000, xwv44000, ee, ef)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_lt10(xwv43001, xwv44001, gb)
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_[], gc)) → new_lt12(xwv43001, xwv44001, gc)
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_lt13(xwv43001, xwv44001, gd, ge, gf)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_lt14(xwv43001, xwv44001, gg)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_lt19(xwv43001, xwv44001, gh, ha)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_lt8(xwv43001, xwv44001, fh, ga)
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_esEs14(xwv43001, xwv44001, gb)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(ty_[], gc)) → new_esEs8(xwv43001, xwv44001, gc)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_esEs5(xwv43001, xwv44001, gd, ge, gf)
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_esEs7(xwv43001, xwv44001, gh, ha)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_esEs6(xwv43001, xwv44001, gg)
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_esEs4(xwv43001, xwv44001, fh, ga)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs5(xwv43002, xwv44002, hf, hg, hh)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, hd)) → new_ltEs10(xwv43002, xwv44002, hd)
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, bab), bac)) → new_ltEs18(xwv43002, xwv44002, bab, bac)
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, hb), hc)) → new_ltEs4(xwv43002, xwv44002, hb, hc)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, baa)) → new_ltEs13(xwv43002, xwv44002, baa)
new_ltEs6(xwv43002, xwv44002, app(ty_[], he)) → new_ltEs12(xwv43002, xwv44002, he)
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_asAs(False, xwv95) → False
new_asAs(True, xwv95) → xwv95
new_pePe(False, xwv181) → xwv181
new_pePe(True, xwv181) → True
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_primPlusNat0(Zero, Zero) → Zero
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_ltEs11(LT, GT) → True
new_ltEs11(GT, EQ) → False
new_ltEs11(GT, LT) → False
new_ltEs11(LT, EQ) → True
new_ltEs11(LT, LT) → True
new_ltEs11(GT, GT) → True
new_ltEs11(EQ, EQ) → True
new_ltEs11(EQ, LT) → False
new_ltEs11(EQ, GT) → True
new_ltEs12(xwv4300, xwv4400, beh) → new_fsEs(new_compare1(xwv4300, xwv4400, beh))
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), beh) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, beh), beh)
new_compare1([], :(xwv44000, xwv44001), beh) → LT
new_compare1(:(xwv43000, xwv43001), [], beh) → GT
new_compare1([], [], beh) → EQ
new_primCompAux1(xwv43000, xwv44000, xwv182, beh) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, beh))
new_compare32(xwv43000, xwv44000, app(ty_Ratio, cbc)) → new_compare7(xwv43000, xwv44000, cbc)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, cba), cbb)) → new_compare15(xwv43000, xwv44000, cba, cbb)
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(ty_Either, cca), ccb)) → new_compare12(xwv43000, xwv44000, cca, ccb)
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, cbe), cbf), cbg)) → new_compare16(xwv43000, xwv44000, cbe, cbf, cbg)
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(ty_[], cbd)) → new_compare1(xwv43000, xwv44000, cbd)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(ty_Maybe, cbh)) → new_compare13(xwv43000, xwv44000, cbh)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_primCompAux0(xwv195, GT) → GT
new_primCompAux0(xwv195, LT) → LT
new_primCompAux0(xwv195, EQ) → xwv195
new_compare31(@0, @0) → EQ
new_compare13(xwv43000, xwv44000, baf) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, baf), baf)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, cfe), cff), cfg)) → new_esEs5(xwv4000, xwv3000, cfe, cff, cfg)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Nothing, Nothing, cfd) → True
new_esEs6(Just(xwv4000), Nothing, cfd) → False
new_esEs6(Nothing, Just(xwv3000), cfd) → False
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, cga), cgb)) → new_esEs4(xwv4000, xwv3000, cga, cgb)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], cfh)) → new_esEs8(xwv4000, xwv3000, cfh)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, cge)) → new_esEs14(xwv4000, xwv3000, cge)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_compare26(xwv43000, xwv44000, False, baf) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, baf), baf)
new_compare26(xwv43000, xwv44000, True, baf) → EQ
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, cgf)) → new_esEs6(xwv4000, xwv3000, cgf)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, cdb), cdc), ccc) → new_esEs7(xwv4000, xwv3000, cdb, cdc)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Maybe, ceh)) → new_esEs6(xwv4000, xwv3000, ceh)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, cgc), cgd)) → new_esEs7(xwv4000, xwv3000, cgc, cgd)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, cde), ccc) → new_esEs6(xwv4000, xwv3000, cde)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_Either, cee), cef)) → new_esEs7(xwv4000, xwv3000, cee, cef)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, ccd), cce), ccf), ccc) → new_esEs5(xwv4000, xwv3000, ccd, cce, ccf)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, ccc) → new_esEs10(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs5(xwv4000, xwv3000, cdg, cdh, cea)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, ccc) → new_esEs18(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Left(xwv3000), cdf, ccc) → False
new_esEs7(Left(xwv4000), Right(xwv3000), cdf, ccc) → False
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, ccc) → new_esEs12(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Ratio, ceg)) → new_esEs14(xwv4000, xwv3000, ceg)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, cdd), ccc) → new_esEs14(xwv4000, xwv3000, cdd)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, ccc) → new_esEs11(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_@2, cec), ced)) → new_esEs4(xwv4000, xwv3000, cec, ced)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], ccg), ccc) → new_esEs8(xwv4000, xwv3000, ccg)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, cch), cda), ccc) → new_esEs4(xwv4000, xwv3000, cch, cda)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, ccc) → new_esEs17(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_[], ceb)) → new_esEs8(xwv4000, xwv3000, ceb)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, ccc) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, ccc) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, ccc) → new_esEs13(xwv4000, xwv3000)
new_esEs13(@0, @0) → True
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_primEqNat0(Succ(xwv40000), Zero) → False
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_esEs15(EQ, EQ) → True
new_esEs15(LT, EQ) → False
new_esEs15(EQ, LT) → False
new_esEs15(GT, EQ) → False
new_esEs15(GT, LT) → False
new_esEs15(LT, LT) → True
new_esEs8([], [], ca) → True
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), ca) → new_asAs(new_esEs9(xwv4000, xwv3000, ca), new_esEs8(xwv4001, xwv3001, ca))
new_esEs8(:(xwv4000, xwv4001), [], ca) → False
new_esEs8([], :(xwv3000, xwv3001), ca) → False
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, dc)) → new_esEs14(xwv4000, xwv3000, dc)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, dd)) → new_esEs6(xwv4000, xwv3000, dd)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(ty_[], ce)) → new_esEs8(xwv4000, xwv3000, ce)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, cb), cc), cd)) → new_esEs5(xwv4000, xwv3000, cb, cc, cd)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, cf), cg)) → new_esEs4(xwv4000, xwv3000, cf, cg)
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, da), db)) → new_esEs7(xwv4000, xwv3000, da, db)
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), cfa, cfb) → new_asAs(new_esEs26(xwv4000, xwv3000, cfa), new_esEs27(xwv4001, xwv3001, cfb))
new_esEs26(xwv4000, xwv3000, app(ty_[], dad)) → new_esEs8(xwv4000, xwv3000, dad)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dbb)) → new_esEs6(xwv4000, xwv3000, dbb)
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dag), dah)) → new_esEs7(xwv4000, xwv3000, dag, dah)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dae), daf)) → new_esEs4(xwv4000, xwv3000, dae, daf)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dba)) → new_esEs14(xwv4000, xwv3000, dba)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, daa), dab), dac)) → new_esEs5(xwv4000, xwv3000, daa, dab, dac)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, dcd)) → new_esEs6(xwv4001, xwv3001, dcd)
new_esEs27(xwv4001, xwv3001, app(ty_[], dbf)) → new_esEs8(xwv4001, xwv3001, dbf)
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, dca), dcb)) → new_esEs7(xwv4001, xwv3001, dca, dcb)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dbc), dbd), dbe)) → new_esEs5(xwv4001, xwv3001, dbc, dbd, dbe)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, dcc)) → new_esEs14(xwv4001, xwv3001, dcc)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, dbg), dbh)) → new_esEs4(xwv4001, xwv3001, dbg, dbh)
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), cfc) → new_asAs(new_esEs24(xwv4000, xwv3000, cfc), new_esEs25(xwv4001, xwv3001, cfc))
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), bag, bah, bba) → new_asAs(new_esEs21(xwv4000, xwv3000, bag), new_asAs(new_esEs22(xwv4001, xwv3001, bah), new_esEs23(xwv4002, xwv3002, bba)))
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, bcb)) → new_esEs14(xwv4000, xwv3000, bcb)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, bcc)) → new_esEs6(xwv4000, xwv3000, bcc)
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs5(xwv4000, xwv3000, bbb, bbc, bbd)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, bbf), bbg)) → new_esEs4(xwv4000, xwv3000, bbf, bbg)
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, bbh), bca)) → new_esEs7(xwv4000, xwv3000, bbh, bca)
new_esEs21(xwv4000, xwv3000, app(ty_[], bbe)) → new_esEs8(xwv4000, xwv3000, bbe)
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, bde)) → new_esEs6(xwv4001, xwv3001, bde)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, bdd)) → new_esEs14(xwv4001, xwv3001, bdd)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(ty_[], bcg)) → new_esEs8(xwv4001, xwv3001, bcg)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, bdb), bdc)) → new_esEs7(xwv4001, xwv3001, bdb, bdc)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, bch), bda)) → new_esEs4(xwv4001, xwv3001, bch, bda)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, bcd), bce), bcf)) → new_esEs5(xwv4001, xwv3001, bcd, bce, bcf)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, bed), bee)) → new_esEs7(xwv4002, xwv3002, bed, bee)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, beb), bec)) → new_esEs4(xwv4002, xwv3002, beb, bec)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, app(ty_[], bea)) → new_esEs8(xwv4002, xwv3002, bea)
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, bef)) → new_esEs14(xwv4002, xwv3002, bef)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, beg)) → new_esEs6(xwv4002, xwv3002, beg)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs5(xwv4002, xwv3002, bdf, bdg, bdh)
new_esEs17(True, True) → True
new_esEs17(False, False) → True
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_compare14(xwv43000, xwv44000, False, baf) → GT
new_compare14(xwv43000, xwv44000, True, baf) → LT
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_compare16(xwv43000, xwv44000, de, df, dg) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_compare27(xwv43000, xwv44000, False, de, df, dg) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_compare27(xwv43000, xwv44000, True, de, df, dg) → EQ
new_compare10(xwv43000, xwv44000, True, de, df, dg) → LT
new_compare10(xwv43000, xwv44000, False, de, df, dg) → GT
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_compare23(xwv43000, xwv44000, True) → EQ
new_compare112(xwv43000, xwv44000, True) → LT
new_compare112(xwv43000, xwv44000, False) → GT
new_compare12(xwv43000, xwv44000, bad, bae) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, bad, bae), bad, bae)
new_compare25(Right(xwv4300), Left(xwv4400), False, bfc, bfd) → GT
new_compare25(Left(xwv4300), Right(xwv4400), False, bfc, bfd) → LT
new_compare25(Right(xwv4300), Right(xwv4400), False, bfc, bfd) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bfd), bfc, bfd)
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, bhb)) → new_ltEs13(xwv4300, xwv4400, bhb)
new_ltEs20(xwv4300, xwv4400, app(ty_[], bgf)) → new_ltEs12(xwv4300, xwv4400, bgf)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, bgc), bgd)) → new_ltEs4(xwv4300, xwv4400, bgc, bgd)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, bgg), bgh), bha)) → new_ltEs5(xwv4300, xwv4400, bgg, bgh, bha)
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, bhc), bhd)) → new_ltEs18(xwv4300, xwv4400, bhc, bhd)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, bge)) → new_ltEs10(xwv4300, xwv4400, bge)
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_compare110(xwv167, xwv168, True, bhe, bhf) → LT
new_compare110(xwv167, xwv168, False, bhe, bhf) → GT
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_ltEs9(True, False) → False
new_ltEs9(True, True) → True
new_ltEs9(False, False) → True
new_ltEs9(False, True) → True
new_ltEs10(xwv4300, xwv4400, bfg) → new_fsEs(new_compare7(xwv4300, xwv4400, bfg))
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, bgb) → new_ltEs9(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(app(ty_@3, dee), def), deg)) → new_ltEs5(xwv43000, xwv44000, dee, def, deg)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, bgb) → new_ltEs14(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Left(xwv44000), bga, bgb) → False
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], ddb), bgb) → new_ltEs12(xwv43000, xwv44000, ddb)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, ddc), ddd), dde), bgb) → new_ltEs5(xwv43000, xwv44000, ddc, ddd, dde)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, bgb) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, bgb) → new_ltEs15(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, bgb) → new_ltEs7(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Right(xwv44000), bga, bgb) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, bgb) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_[], ded)) → new_ltEs12(xwv43000, xwv44000, ded)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, dcg), dch), bgb) → new_ltEs4(xwv43000, xwv44000, dcg, dch)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, bgb) → new_ltEs11(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_@2, dea), deb)) → new_ltEs4(xwv43000, xwv44000, dea, deb)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Ratio, dec)) → new_ltEs10(xwv43000, xwv44000, dec)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, dda), bgb) → new_ltEs10(xwv43000, xwv44000, dda)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, bgb) → new_ltEs8(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), bfe, bff) → new_pePe(new_lt20(xwv43000, xwv44000, bfe), new_asAs(new_esEs28(xwv43000, xwv44000, bfe), new_ltEs21(xwv43001, xwv44001, bff)))
new_lt20(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_lt19(xwv43000, xwv44000, bad, bae)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_lt8(xwv43000, xwv44000, dh, ea)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_lt13(xwv43000, xwv44000, de, df, dg)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_[], dce)) → new_lt12(xwv43000, xwv44000, dce)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_lt14(xwv43000, xwv44000, baf)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_lt10(xwv43000, xwv44000, dcf)
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xwv43000, xwv44000, de, df, dg)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], dce)) → new_esEs8(xwv43000, xwv44000, dce)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_esEs6(xwv43000, xwv44000, baf)
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_esEs7(xwv43000, xwv44000, bad, bae)
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_esEs14(xwv43000, xwv44000, dcf)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_esEs4(xwv43000, xwv44000, dh, ea)
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dff)) → new_ltEs12(xwv43001, xwv44001, dff)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, dgb)) → new_ltEs13(xwv43001, xwv44001, dgb)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, dfc), dfd)) → new_ltEs4(xwv43001, xwv44001, dfc, dfd)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dfe)) → new_ltEs10(xwv43001, xwv44001, dfe)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dfg), dfh), dga)) → new_ltEs5(xwv43001, xwv44001, dfg, dfh, dga)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, dgc), dgd)) → new_ltEs18(xwv43001, xwv44001, dgc, dgd)
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_lt10(xwv43000, xwv44000, dcf) → new_esEs15(new_compare7(xwv43000, xwv44000, dcf), LT)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_lt14(xwv43000, xwv44000, baf) → new_esEs15(new_compare13(xwv43000, xwv44000, baf), LT)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_lt12(xwv43000, xwv44000, dce) → new_esEs15(new_compare1(xwv43000, xwv44000, dce), LT)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_compare28(xwv43000, xwv44000, True) → EQ
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_compare111(xwv43000, xwv44000, False) → GT
new_compare111(xwv43000, xwv44000, True) → LT
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_lt13(xwv43000, xwv44000, de, df, dg) → new_esEs15(new_compare16(xwv43000, xwv44000, de, df, dg), LT)
new_lt8(xwv43000, xwv44000, dh, ea) → new_esEs15(new_compare15(xwv43000, xwv44000, dh, ea), LT)
new_compare15(xwv43000, xwv44000, dh, ea) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare24(xwv43000, xwv44000, False, dh, ea) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare24(xwv43000, xwv44000, True, dh, ea) → EQ
new_compare11(xwv43000, xwv44000, True, dh, ea) → LT
new_compare11(xwv43000, xwv44000, False, dh, ea) → GT
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_lt19(xwv43000, xwv44000, bad, bae) → new_esEs15(new_compare12(xwv43000, xwv44000, bad, bae), LT)

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_ltEs6(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare10(x0, x1, False, x2, x3, x4)
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare11(x0, x1, True, x2, x3)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(ty_[], x2))
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_esEs29(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs22(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs19(x0, x1, ty_Integer)
new_lt10(x0, x1, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs29(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_compare111(x0, x1, True)
new_ltEs16(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs26(x0, x1, ty_Int)
new_ltEs12(x0, x1, x2)
new_esEs22(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt4(x0, x1, ty_Ordering)
new_esEs10(Integer(x0), Integer(x1))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, x2)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Char)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(False, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, True, x2, x3)
new_esEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Double)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs6(Nothing, Nothing, x0)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, ty_@0)
new_primCmpNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_primPlusNat1(Succ(x0), x1)
new_fsEs(x0)
new_compare30(Double(x0, x1), Double(x2, x3))
new_primEqNat0(Zero, Zero)
new_ltEs19(x0, x1, ty_Float)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs30(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Pos(x0), Pos(x1))
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_compare32(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, True, x2)
new_compare25(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs9(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Zero)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_sr(Integer(x0), Integer(x1))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs15(x0, x1)
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt4(x0, x1, ty_Double)
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primCompAux0(x0, GT)
new_primCompAux0(x0, LT)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_[], x2))
new_pePe(True, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_@0)
new_compare14(x0, x1, True, x2)
new_ltEs13(Nothing, Nothing, x0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare32(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_compare19(x0, x1)
new_ltEs21(x0, x1, ty_Double)
new_sr0(x0, x1)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_compare29(Char(x0), Char(x1))
new_compare16(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Double)
new_lt17(x0, x1)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Double)
new_esEs8([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_lt5(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_primCmpNat2(x0, Succ(x1))
new_ltEs21(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs30(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Int)
new_compare1(:(x0, x1), [], x2)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs30(x0, x1, ty_@0)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs6(Just(x0), Nothing, x1)
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(LT, LT)
new_lt5(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1([], [], x0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs27(x0, x1, ty_Integer)
new_lt14(x0, x1, x2)
new_compare26(x0, x1, False, x2)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_compare31(@0, @0)
new_esEs15(EQ, GT)
new_esEs15(GT, EQ)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_Bool)
new_ltEs9(True, True)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_asAs(False, x0)
new_pePe(False, x0)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Nothing, Just(x0), x1)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, True, x2, x3)
new_compare18(Float(x0, x1), Float(x2, x3))
new_esEs30(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_lt19(x0, x1, x2, x3)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_esEs23(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs20(x0, x1, ty_Float)
new_compare12(x0, x1, x2, x3)
new_ltEs10(x0, x1, x2)
new_lt9(x0, x1)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primCmpNat2(x0, Zero)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Char)
new_compare17(x0, x1, False, x2, x3)
new_lt4(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_compare24(x0, x1, False, x2, x3)
new_esEs23(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_compare14(x0, x1, False, x2)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), Succ(x1))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True)
new_esEs16(Char(x0), Char(x1))
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs11(LT, LT)
new_esEs8([], [], x0)
new_esEs21(x0, x1, ty_Int)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs11(EQ, LT)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, x2, x3)
new_ltEs13(Just(x0), Nothing, x1)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt18(x0, x1)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Just(x0), x1)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Succ(x0))
new_compare110(x0, x1, False, x2, x3)
new_esEs15(GT, GT)
new_lt12(x0, x1, x2)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_lt8(x0, x1, x2, x3)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_compare23(x0, x1, False)
new_esEs23(x0, x1, ty_@0)
new_compare27(x0, x1, False, x2, x3, x4)
new_lt11(x0, x1)
new_compare32(x0, x1, ty_Float)
new_lt13(x0, x1, x2, x3, x4)
new_compare8(Integer(x0), Integer(x1))
new_esEs30(x0, x1, ty_Double)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Zero)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_not(True)
new_esEs24(x0, x1, ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_lt4(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs15(EQ, EQ)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs8(x0, x1)
new_not(False)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs12(x0, x1)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Integer)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_compare28(x0, x1, True)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, ty_Int)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_compare1([], :(x0, x1), x2)
new_esEs28(x0, x1, ty_Char)
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(LT, EQ)
new_esEs15(EQ, LT)
new_ltEs6(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs17(True, True)
new_compare17(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Int)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare111(x0, x1, False)
new_compare10(x0, x1, True, x2, x3, x4)
new_primPlusNat0(Succ(x0), Zero)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Float)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(x0, x1)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs6(x0, x1, ty_@0)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs8(:(x0, x1), [], x2)
new_esEs9(x0, x1, ty_Double)
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_ltEs11(GT, GT)

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_esEs30(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Integer)
new_esEs30(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Int)



↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                            ↳ QDP
                                              ↳ QReductionProof
                                                ↳ QDP
                                                  ↳ QDPSizeChangeProof
                                  ↳ QDP

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

new_delFromFM(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), bc, bd, be) → new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), False, bc, bd), GT), bc, bd, be)
new_delFromFM(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), bc, bd, be) → new_delFromFM2(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Left(xwv300), new_esEs29(xwv400, xwv300, bc), bc, bd), GT), bc, bd, be)
new_delFromFM2(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, h, ba, bb) → new_delFromFM(xwv17, Left(xwv18), h, ba, bb)
new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, bc, bd, be) → new_delFromFM10(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), new_esEs7(Left(xwv400), Right(xwv300), bc, bd), bc, bd), LT), bc, bd, be)
new_delFromFM20(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv34, Left(xwv400), bc, bd, be)
new_delFromFM10(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, bc, bd, be) → new_delFromFM(xwv33, Left(xwv400), bc, bd, be)
new_delFromFM2(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, False, h, ba, bb) → new_delFromFM1(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, new_esEs15(new_compare25(Left(xwv18), Left(xwv13), new_esEs7(Left(xwv18), Left(xwv13), h, ba), h, ba), LT), h, ba, bb)
new_delFromFM1(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, h, ba, bb) → new_delFromFM(xwv16, Left(xwv18), h, ba, bb)

The TRS R consists of the following rules:

new_esEs29(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(app(ty_@2, cfa), cfb)) → new_esEs4(xwv400, xwv300, cfa, cfb)
new_esEs29(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(ty_Maybe, cfd)) → new_esEs6(xwv400, xwv300, cfd)
new_esEs29(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(ty_[], ca)) → new_esEs8(xwv400, xwv300, ca)
new_esEs29(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs29(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xwv400, xwv300, bag, bah, bba)
new_esEs29(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs29(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(app(ty_Either, cdf), ccc)) → new_esEs7(xwv400, xwv300, cdf, ccc)
new_esEs29(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_esEs29(xwv400, xwv300, app(ty_Ratio, cfc)) → new_esEs14(xwv400, xwv300, cfc)
new_compare25(xwv430, xwv440, True, bfc, bfd) → EQ
new_compare25(Left(xwv4300), Left(xwv4400), False, bfc, bfd) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bfc), bfc, bfd)
new_esEs15(EQ, GT) → False
new_esEs15(LT, GT) → False
new_esEs15(GT, GT) → True
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, bfe), bff)) → new_ltEs4(xwv4300, xwv4400, bfe, bff)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, bfg)) → new_ltEs10(xwv4300, xwv4400, bfg)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(ty_[], beh)) → new_ltEs12(xwv4300, xwv4400, beh)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, bga), bgb)) → new_ltEs18(xwv4300, xwv4400, bga, bgb)
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs5(xwv4300, xwv4400, eb, ec, ed)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, bfh)) → new_ltEs13(xwv4300, xwv4400, bfh)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, bfa, bfb) → LT
new_compare17(xwv160, xwv161, False, bfa, bfb) → GT
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_not(False) → True
new_not(True) → False
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_primCmpNat2(xwv4300, Zero) → GT
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_primCmpNat1(Zero, xwv4300) → LT
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs13(Nothing, Just(xwv44000), bfh) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_ltEs13(Nothing, Nothing, bfh) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, cgg), cgh)) → new_ltEs4(xwv43000, xwv44000, cgg, cgh)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, ddg), ddh), bgb) → new_ltEs18(xwv43000, xwv44000, ddg, ddh)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, ddf), bgb) → new_ltEs13(xwv43000, xwv44000, ddf)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, chg), chh)) → new_ltEs18(xwv43000, xwv44000, chg, chh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Maybe, deh)) → new_ltEs13(xwv43000, xwv44000, deh)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_Either, dfa), dfb)) → new_ltEs18(xwv43000, xwv44000, dfa, dfb)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, chf)) → new_ltEs13(xwv43000, xwv44000, chf)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Nothing, bfh) → False
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, cha)) → new_ltEs10(xwv43000, xwv44000, cha)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], chb)) → new_ltEs12(xwv43000, xwv44000, chb)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(xwv43000, xwv44000, chc, chd, che)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), eb, ec, ed) → new_pePe(new_lt4(xwv43000, xwv44000, eb), new_asAs(new_esEs19(xwv43000, xwv44000, eb), new_pePe(new_lt5(xwv43001, xwv44001, ec), new_asAs(new_esEs20(xwv43001, xwv44001, ec), new_ltEs6(xwv43002, xwv44002, ed)))))
new_lt4(xwv43000, xwv44000, app(ty_[], eh)) → new_lt12(xwv43000, xwv44000, eh)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_lt14(xwv43000, xwv44000, fd)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_lt19(xwv43000, xwv44000, ff, fg)
new_lt4(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_lt10(xwv43000, xwv44000, eg)
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_lt13(xwv43000, xwv44000, fa, fb, fc)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_lt8(xwv43000, xwv44000, ee, ef)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, fa), fb), fc)) → new_esEs5(xwv43000, xwv44000, fa, fb, fc)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, fd)) → new_esEs6(xwv43000, xwv44000, fd)
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, ff), fg)) → new_esEs7(xwv43000, xwv44000, ff, fg)
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, eg)) → new_esEs14(xwv43000, xwv44000, eg)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_[], eh)) → new_esEs8(xwv43000, xwv44000, eh)
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, ee), ef)) → new_esEs4(xwv43000, xwv44000, ee, ef)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_lt10(xwv43001, xwv44001, gb)
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_[], gc)) → new_lt12(xwv43001, xwv44001, gc)
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_lt13(xwv43001, xwv44001, gd, ge, gf)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_lt14(xwv43001, xwv44001, gg)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_lt19(xwv43001, xwv44001, gh, ha)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_lt8(xwv43001, xwv44001, fh, ga)
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, gb)) → new_esEs14(xwv43001, xwv44001, gb)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(ty_[], gc)) → new_esEs8(xwv43001, xwv44001, gc)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, gd), ge), gf)) → new_esEs5(xwv43001, xwv44001, gd, ge, gf)
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, gh), ha)) → new_esEs7(xwv43001, xwv44001, gh, ha)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, gg)) → new_esEs6(xwv43001, xwv44001, gg)
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, fh), ga)) → new_esEs4(xwv43001, xwv44001, fh, ga)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs5(xwv43002, xwv44002, hf, hg, hh)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, hd)) → new_ltEs10(xwv43002, xwv44002, hd)
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, bab), bac)) → new_ltEs18(xwv43002, xwv44002, bab, bac)
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, hb), hc)) → new_ltEs4(xwv43002, xwv44002, hb, hc)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, baa)) → new_ltEs13(xwv43002, xwv44002, baa)
new_ltEs6(xwv43002, xwv44002, app(ty_[], he)) → new_ltEs12(xwv43002, xwv44002, he)
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_asAs(False, xwv95) → False
new_asAs(True, xwv95) → xwv95
new_pePe(False, xwv181) → xwv181
new_pePe(True, xwv181) → True
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_primPlusNat0(Zero, Zero) → Zero
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_ltEs11(LT, GT) → True
new_ltEs11(GT, EQ) → False
new_ltEs11(GT, LT) → False
new_ltEs11(LT, EQ) → True
new_ltEs11(LT, LT) → True
new_ltEs11(GT, GT) → True
new_ltEs11(EQ, EQ) → True
new_ltEs11(EQ, LT) → False
new_ltEs11(EQ, GT) → True
new_ltEs12(xwv4300, xwv4400, beh) → new_fsEs(new_compare1(xwv4300, xwv4400, beh))
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), beh) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, beh), beh)
new_compare1([], :(xwv44000, xwv44001), beh) → LT
new_compare1(:(xwv43000, xwv43001), [], beh) → GT
new_compare1([], [], beh) → EQ
new_primCompAux1(xwv43000, xwv44000, xwv182, beh) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, beh))
new_compare32(xwv43000, xwv44000, app(ty_Ratio, cbc)) → new_compare7(xwv43000, xwv44000, cbc)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, cba), cbb)) → new_compare15(xwv43000, xwv44000, cba, cbb)
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(ty_Either, cca), ccb)) → new_compare12(xwv43000, xwv44000, cca, ccb)
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, cbe), cbf), cbg)) → new_compare16(xwv43000, xwv44000, cbe, cbf, cbg)
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(ty_[], cbd)) → new_compare1(xwv43000, xwv44000, cbd)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, app(ty_Maybe, cbh)) → new_compare13(xwv43000, xwv44000, cbh)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_primCompAux0(xwv195, GT) → GT
new_primCompAux0(xwv195, LT) → LT
new_primCompAux0(xwv195, EQ) → xwv195
new_compare31(@0, @0) → EQ
new_compare13(xwv43000, xwv44000, baf) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, baf), baf)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, cfe), cff), cfg)) → new_esEs5(xwv4000, xwv3000, cfe, cff, cfg)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Nothing, Nothing, cfd) → True
new_esEs6(Just(xwv4000), Nothing, cfd) → False
new_esEs6(Nothing, Just(xwv3000), cfd) → False
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, cga), cgb)) → new_esEs4(xwv4000, xwv3000, cga, cgb)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], cfh)) → new_esEs8(xwv4000, xwv3000, cfh)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, cge)) → new_esEs14(xwv4000, xwv3000, cge)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_compare26(xwv43000, xwv44000, False, baf) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, baf), baf)
new_compare26(xwv43000, xwv44000, True, baf) → EQ
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, cgf)) → new_esEs6(xwv4000, xwv3000, cgf)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, cdb), cdc), ccc) → new_esEs7(xwv4000, xwv3000, cdb, cdc)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Maybe, ceh)) → new_esEs6(xwv4000, xwv3000, ceh)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, cgc), cgd)) → new_esEs7(xwv4000, xwv3000, cgc, cgd)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, cde), ccc) → new_esEs6(xwv4000, xwv3000, cde)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_Either, cee), cef)) → new_esEs7(xwv4000, xwv3000, cee, cef)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, ccd), cce), ccf), ccc) → new_esEs5(xwv4000, xwv3000, ccd, cce, ccf)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, ccc) → new_esEs10(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs5(xwv4000, xwv3000, cdg, cdh, cea)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, ccc) → new_esEs18(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Left(xwv3000), cdf, ccc) → False
new_esEs7(Left(xwv4000), Right(xwv3000), cdf, ccc) → False
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, ccc) → new_esEs12(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_Ratio, ceg)) → new_esEs14(xwv4000, xwv3000, ceg)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, cdd), ccc) → new_esEs14(xwv4000, xwv3000, cdd)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, ccc) → new_esEs11(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(app(ty_@2, cec), ced)) → new_esEs4(xwv4000, xwv3000, cec, ced)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], ccg), ccc) → new_esEs8(xwv4000, xwv3000, ccg)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, cch), cda), ccc) → new_esEs4(xwv4000, xwv3000, cch, cda)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, ccc) → new_esEs17(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), cdf, app(ty_[], ceb)) → new_esEs8(xwv4000, xwv3000, ceb)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, ccc) → new_esEs15(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, ccc) → new_esEs16(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, ccc) → new_esEs13(xwv4000, xwv3000)
new_esEs13(@0, @0) → True
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_primEqNat0(Succ(xwv40000), Zero) → False
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_esEs15(EQ, EQ) → True
new_esEs15(LT, EQ) → False
new_esEs15(EQ, LT) → False
new_esEs15(GT, EQ) → False
new_esEs15(GT, LT) → False
new_esEs15(LT, LT) → True
new_esEs8([], [], ca) → True
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), ca) → new_asAs(new_esEs9(xwv4000, xwv3000, ca), new_esEs8(xwv4001, xwv3001, ca))
new_esEs8(:(xwv4000, xwv4001), [], ca) → False
new_esEs8([], :(xwv3000, xwv3001), ca) → False
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, dc)) → new_esEs14(xwv4000, xwv3000, dc)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, dd)) → new_esEs6(xwv4000, xwv3000, dd)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(ty_[], ce)) → new_esEs8(xwv4000, xwv3000, ce)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, cb), cc), cd)) → new_esEs5(xwv4000, xwv3000, cb, cc, cd)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, cf), cg)) → new_esEs4(xwv4000, xwv3000, cf, cg)
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, da), db)) → new_esEs7(xwv4000, xwv3000, da, db)
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), cfa, cfb) → new_asAs(new_esEs26(xwv4000, xwv3000, cfa), new_esEs27(xwv4001, xwv3001, cfb))
new_esEs26(xwv4000, xwv3000, app(ty_[], dad)) → new_esEs8(xwv4000, xwv3000, dad)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dbb)) → new_esEs6(xwv4000, xwv3000, dbb)
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dag), dah)) → new_esEs7(xwv4000, xwv3000, dag, dah)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dae), daf)) → new_esEs4(xwv4000, xwv3000, dae, daf)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dba)) → new_esEs14(xwv4000, xwv3000, dba)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, daa), dab), dac)) → new_esEs5(xwv4000, xwv3000, daa, dab, dac)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, dcd)) → new_esEs6(xwv4001, xwv3001, dcd)
new_esEs27(xwv4001, xwv3001, app(ty_[], dbf)) → new_esEs8(xwv4001, xwv3001, dbf)
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, dca), dcb)) → new_esEs7(xwv4001, xwv3001, dca, dcb)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dbc), dbd), dbe)) → new_esEs5(xwv4001, xwv3001, dbc, dbd, dbe)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, dcc)) → new_esEs14(xwv4001, xwv3001, dcc)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, dbg), dbh)) → new_esEs4(xwv4001, xwv3001, dbg, dbh)
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), cfc) → new_asAs(new_esEs24(xwv4000, xwv3000, cfc), new_esEs25(xwv4001, xwv3001, cfc))
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), bag, bah, bba) → new_asAs(new_esEs21(xwv4000, xwv3000, bag), new_asAs(new_esEs22(xwv4001, xwv3001, bah), new_esEs23(xwv4002, xwv3002, bba)))
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, bcb)) → new_esEs14(xwv4000, xwv3000, bcb)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, bcc)) → new_esEs6(xwv4000, xwv3000, bcc)
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs5(xwv4000, xwv3000, bbb, bbc, bbd)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, bbf), bbg)) → new_esEs4(xwv4000, xwv3000, bbf, bbg)
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, bbh), bca)) → new_esEs7(xwv4000, xwv3000, bbh, bca)
new_esEs21(xwv4000, xwv3000, app(ty_[], bbe)) → new_esEs8(xwv4000, xwv3000, bbe)
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, bde)) → new_esEs6(xwv4001, xwv3001, bde)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, bdd)) → new_esEs14(xwv4001, xwv3001, bdd)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(ty_[], bcg)) → new_esEs8(xwv4001, xwv3001, bcg)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, bdb), bdc)) → new_esEs7(xwv4001, xwv3001, bdb, bdc)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, bch), bda)) → new_esEs4(xwv4001, xwv3001, bch, bda)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, bcd), bce), bcf)) → new_esEs5(xwv4001, xwv3001, bcd, bce, bcf)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, bed), bee)) → new_esEs7(xwv4002, xwv3002, bed, bee)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, beb), bec)) → new_esEs4(xwv4002, xwv3002, beb, bec)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, app(ty_[], bea)) → new_esEs8(xwv4002, xwv3002, bea)
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, bef)) → new_esEs14(xwv4002, xwv3002, bef)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, beg)) → new_esEs6(xwv4002, xwv3002, beg)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs5(xwv4002, xwv3002, bdf, bdg, bdh)
new_esEs17(True, True) → True
new_esEs17(False, False) → True
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_compare14(xwv43000, xwv44000, False, baf) → GT
new_compare14(xwv43000, xwv44000, True, baf) → LT
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_compare16(xwv43000, xwv44000, de, df, dg) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_compare27(xwv43000, xwv44000, False, de, df, dg) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, de, df, dg), de, df, dg)
new_compare27(xwv43000, xwv44000, True, de, df, dg) → EQ
new_compare10(xwv43000, xwv44000, True, de, df, dg) → LT
new_compare10(xwv43000, xwv44000, False, de, df, dg) → GT
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_compare23(xwv43000, xwv44000, True) → EQ
new_compare112(xwv43000, xwv44000, True) → LT
new_compare112(xwv43000, xwv44000, False) → GT
new_compare12(xwv43000, xwv44000, bad, bae) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, bad, bae), bad, bae)
new_compare25(Right(xwv4300), Left(xwv4400), False, bfc, bfd) → GT
new_compare25(Left(xwv4300), Right(xwv4400), False, bfc, bfd) → LT
new_compare25(Right(xwv4300), Right(xwv4400), False, bfc, bfd) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bfd), bfc, bfd)
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, bhb)) → new_ltEs13(xwv4300, xwv4400, bhb)
new_ltEs20(xwv4300, xwv4400, app(ty_[], bgf)) → new_ltEs12(xwv4300, xwv4400, bgf)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, bgc), bgd)) → new_ltEs4(xwv4300, xwv4400, bgc, bgd)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, bgg), bgh), bha)) → new_ltEs5(xwv4300, xwv4400, bgg, bgh, bha)
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, bhc), bhd)) → new_ltEs18(xwv4300, xwv4400, bhc, bhd)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, bge)) → new_ltEs10(xwv4300, xwv4400, bge)
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_compare110(xwv167, xwv168, True, bhe, bhf) → LT
new_compare110(xwv167, xwv168, False, bhe, bhf) → GT
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_ltEs9(True, False) → False
new_ltEs9(True, True) → True
new_ltEs9(False, False) → True
new_ltEs9(False, True) → True
new_ltEs10(xwv4300, xwv4400, bfg) → new_fsEs(new_compare7(xwv4300, xwv4400, bfg))
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, bgb) → new_ltEs9(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(app(ty_@3, dee), def), deg)) → new_ltEs5(xwv43000, xwv44000, dee, def, deg)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, bgb) → new_ltEs14(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Left(xwv44000), bga, bgb) → False
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], ddb), bgb) → new_ltEs12(xwv43000, xwv44000, ddb)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, ddc), ddd), dde), bgb) → new_ltEs5(xwv43000, xwv44000, ddc, ddd, dde)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, bgb) → new_ltEs17(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, bgb) → new_ltEs15(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, bgb) → new_ltEs7(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Right(xwv44000), bga, bgb) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, bgb) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_[], ded)) → new_ltEs12(xwv43000, xwv44000, ded)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, dcg), dch), bgb) → new_ltEs4(xwv43000, xwv44000, dcg, dch)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, bgb) → new_ltEs11(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(app(ty_@2, dea), deb)) → new_ltEs4(xwv43000, xwv44000, dea, deb)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, app(ty_Ratio, dec)) → new_ltEs10(xwv43000, xwv44000, dec)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, dda), bgb) → new_ltEs10(xwv43000, xwv44000, dda)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, bgb) → new_ltEs8(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), bga, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), bfe, bff) → new_pePe(new_lt20(xwv43000, xwv44000, bfe), new_asAs(new_esEs28(xwv43000, xwv44000, bfe), new_ltEs21(xwv43001, xwv44001, bff)))
new_lt20(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_lt19(xwv43000, xwv44000, bad, bae)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_lt8(xwv43000, xwv44000, dh, ea)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_lt13(xwv43000, xwv44000, de, df, dg)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_[], dce)) → new_lt12(xwv43000, xwv44000, dce)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_lt14(xwv43000, xwv44000, baf)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_lt10(xwv43000, xwv44000, dcf)
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xwv43000, xwv44000, de, df, dg)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], dce)) → new_esEs8(xwv43000, xwv44000, dce)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, baf)) → new_esEs6(xwv43000, xwv44000, baf)
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, bad), bae)) → new_esEs7(xwv43000, xwv44000, bad, bae)
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, dcf)) → new_esEs14(xwv43000, xwv44000, dcf)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_esEs4(xwv43000, xwv44000, dh, ea)
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dff)) → new_ltEs12(xwv43001, xwv44001, dff)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, dgb)) → new_ltEs13(xwv43001, xwv44001, dgb)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, dfc), dfd)) → new_ltEs4(xwv43001, xwv44001, dfc, dfd)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dfe)) → new_ltEs10(xwv43001, xwv44001, dfe)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dfg), dfh), dga)) → new_ltEs5(xwv43001, xwv44001, dfg, dfh, dga)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, dgc), dgd)) → new_ltEs18(xwv43001, xwv44001, dgc, dgd)
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_lt10(xwv43000, xwv44000, dcf) → new_esEs15(new_compare7(xwv43000, xwv44000, dcf), LT)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_lt14(xwv43000, xwv44000, baf) → new_esEs15(new_compare13(xwv43000, xwv44000, baf), LT)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_lt12(xwv43000, xwv44000, dce) → new_esEs15(new_compare1(xwv43000, xwv44000, dce), LT)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_compare28(xwv43000, xwv44000, True) → EQ
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_compare111(xwv43000, xwv44000, False) → GT
new_compare111(xwv43000, xwv44000, True) → LT
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_lt13(xwv43000, xwv44000, de, df, dg) → new_esEs15(new_compare16(xwv43000, xwv44000, de, df, dg), LT)
new_lt8(xwv43000, xwv44000, dh, ea) → new_esEs15(new_compare15(xwv43000, xwv44000, dh, ea), LT)
new_compare15(xwv43000, xwv44000, dh, ea) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare24(xwv43000, xwv44000, False, dh, ea) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, dh, ea), dh, ea)
new_compare24(xwv43000, xwv44000, True, dh, ea) → EQ
new_compare11(xwv43000, xwv44000, True, dh, ea) → LT
new_compare11(xwv43000, xwv44000, False, dh, ea) → GT
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_lt19(xwv43000, xwv44000, bad, bae) → new_esEs15(new_compare12(xwv43000, xwv44000, bad, bae), LT)

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_ltEs6(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare10(x0, x1, False, x2, x3, x4)
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare11(x0, x1, True, x2, x3)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(ty_[], x2))
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_esEs29(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs22(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs19(x0, x1, ty_Integer)
new_lt10(x0, x1, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs29(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_compare111(x0, x1, True)
new_ltEs16(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs26(x0, x1, ty_Int)
new_ltEs12(x0, x1, x2)
new_esEs22(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt4(x0, x1, ty_Ordering)
new_esEs10(Integer(x0), Integer(x1))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, x2)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(False, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, True, x2, x3)
new_esEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Double)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs6(Nothing, Nothing, x0)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, ty_@0)
new_primCmpNat0(Succ(x0), Zero)
new_esEs9(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_primPlusNat1(Succ(x0), x1)
new_fsEs(x0)
new_compare30(Double(x0, x1), Double(x2, x3))
new_primEqNat0(Zero, Zero)
new_ltEs19(x0, x1, ty_Float)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, ty_Int)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primMulInt(Pos(x0), Pos(x1))
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_compare32(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, True, x2)
new_compare25(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare32(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs9(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Zero)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_sr(Integer(x0), Integer(x1))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs15(x0, x1)
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt4(x0, x1, ty_Double)
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primCompAux0(x0, GT)
new_primCompAux0(x0, LT)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_[], x2))
new_pePe(True, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_@0)
new_compare14(x0, x1, True, x2)
new_ltEs13(Nothing, Nothing, x0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare32(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_compare19(x0, x1)
new_ltEs21(x0, x1, ty_Double)
new_sr0(x0, x1)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_compare29(Char(x0), Char(x1))
new_compare16(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Double)
new_lt17(x0, x1)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Double)
new_esEs8([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_lt5(x0, x1, ty_Double)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Ordering)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_primCmpNat2(x0, Succ(x1))
new_ltEs21(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Int)
new_compare1(:(x0, x1), [], x2)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs6(Just(x0), Nothing, x1)
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(LT, LT)
new_lt5(x0, x1, ty_Bool)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1([], [], x0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs27(x0, x1, ty_Integer)
new_lt14(x0, x1, x2)
new_compare26(x0, x1, False, x2)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_compare31(@0, @0)
new_esEs15(EQ, GT)
new_esEs15(GT, EQ)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_Bool)
new_ltEs9(True, True)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_asAs(False, x0)
new_pePe(False, x0)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Nothing, Just(x0), x1)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, True, x2, x3)
new_compare18(Float(x0, x1), Float(x2, x3))
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_lt19(x0, x1, x2, x3)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_esEs23(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs20(x0, x1, ty_Float)
new_compare12(x0, x1, x2, x3)
new_ltEs10(x0, x1, x2)
new_lt9(x0, x1)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primCmpNat2(x0, Zero)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Char)
new_compare17(x0, x1, False, x2, x3)
new_lt4(x0, x1, ty_@0)
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_compare24(x0, x1, False, x2, x3)
new_esEs23(x0, x1, ty_Float)
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_compare14(x0, x1, False, x2)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), Succ(x1))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_esEs19(x0, x1, ty_Float)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True)
new_esEs16(Char(x0), Char(x1))
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs11(LT, LT)
new_esEs8([], [], x0)
new_esEs21(x0, x1, ty_Int)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs11(EQ, LT)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, x2, x3)
new_ltEs13(Just(x0), Nothing, x1)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt18(x0, x1)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Just(x0), x1)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Succ(x0))
new_compare110(x0, x1, False, x2, x3)
new_esEs15(GT, GT)
new_lt12(x0, x1, x2)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_lt8(x0, x1, x2, x3)
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_compare23(x0, x1, False)
new_esEs23(x0, x1, ty_@0)
new_compare27(x0, x1, False, x2, x3, x4)
new_lt11(x0, x1)
new_compare32(x0, x1, ty_Float)
new_lt13(x0, x1, x2, x3, x4)
new_compare8(Integer(x0), Integer(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Zero)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_not(True)
new_esEs24(x0, x1, ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_lt4(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs15(EQ, EQ)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs8(x0, x1)
new_not(False)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs12(x0, x1)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Integer)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_compare28(x0, x1, True)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, ty_Int)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_compare1([], :(x0, x1), x2)
new_esEs28(x0, x1, ty_Char)
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(LT, EQ)
new_esEs15(EQ, LT)
new_ltEs6(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs17(True, True)
new_compare17(x0, x1, True, x2, x3)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare111(x0, x1, False)
new_compare10(x0, x1, True, x2, x3, x4)
new_primPlusNat0(Succ(x0), Zero)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Float)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(x0, x1)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_@0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs6(x0, x1, ty_@0)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs8(:(x0, x1), [], x2)
new_esEs9(x0, x1, ty_Double)
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_ltEs11(GT, GT)

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

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

new_foldl(xwv3, :(xwv40, xwv41), h, ba, bb) → new_foldl(new_delFromFM0(xwv3, xwv40, h, ba, bb), xwv41, h, ba, bb)

The TRS R consists of the following rules:

new_esEs30(xwv400, xwv300, app(ty_Maybe, bcc)) → new_esEs6(xwv400, xwv300, bcc)
new_lt5(xwv43001, xwv44001, ty_Float) → new_lt16(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, app(ty_[], dbg)) → new_esEs8(xwv4000, xwv3000, dbg)
new_compare32(xwv43000, xwv44000, app(ty_Ratio, ccd)) → new_compare7(xwv43000, xwv44000, ccd)
new_esEs23(xwv4002, xwv3002, app(app(ty_Either, bga), bgb)) → new_esEs7(xwv4002, xwv3002, bga, bgb)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_Either, chf), chg), bag) → new_esEs7(xwv4000, xwv3000, chf, chg)
new_lt4(xwv43000, xwv44000, app(ty_[], ec)) → new_lt12(xwv43000, xwv44000, ec)
new_ltEs21(xwv43001, xwv44001, app(ty_[], dgh)) → new_ltEs12(xwv43001, xwv44001, dgh)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_primCmpNat2(xwv4300, Succ(xwv4400)) → new_primCmpNat0(xwv4300, xwv4400)
new_ltEs11(LT, GT) → True
new_compare10(xwv43000, xwv44000, True, bgg, bgh, bha) → LT
new_compare8(Integer(xwv43000), Integer(xwv44000)) → new_primCmpInt(xwv43000, xwv44000)
new_compare1(:(xwv43000, xwv43001), :(xwv44000, xwv44001), caa) → new_primCompAux1(xwv43000, xwv44000, new_compare1(xwv43001, xwv44001, caa), caa)
new_esEs22(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_lt20(xwv43000, xwv44000, app(app(ty_Either, cga), cgb)) → new_lt19(xwv43000, xwv44000, cga, cgb)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt4(xwv43000, xwv44000, app(ty_Maybe, eg)) → new_lt14(xwv43000, xwv44000, eg)
new_compare110(xwv167, xwv168, True, cbh, cca) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Bool, cad) → new_ltEs9(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_esEs23(xwv4002, xwv3002, app(app(ty_@2, bfg), bfh)) → new_esEs4(xwv4002, xwv3002, bfg, bfh)
new_compare25(Right(xwv4300), Left(xwv4400), False, bhd, bhe) → GT
new_esEs9(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs15(EQ, EQ) → True
new_ltEs20(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_lt15(xwv430, xwv440) → new_esEs15(new_compare9(xwv430, xwv440), LT)
new_esEs28(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_ltEs21(xwv43001, xwv44001, ty_Bool) → new_ltEs9(xwv43001, xwv44001)
new_compare32(xwv43000, xwv44000, ty_Char) → new_compare29(xwv43000, xwv44000)
new_glueBal2Mid_elt200(xwv320, xwv321, xwv322, xwv323, xwv324, xwv325, xwv326, xwv327, xwv328, xwv329, xwv330, xwv331, xwv332, EmptyFM, xwv334, da, db) → xwv331
new_delFromFM0(EmptyFM, xwv40, h, ba, bb) → EmptyFM
new_primPlusInt1(xwv3020, Pos(xwv3030)) → Pos(new_primPlusNat0(xwv3020, xwv3030))
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Ratio, fd)) → new_lt10(xwv43001, xwv44001, fd)
new_esEs27(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_lt9(xwv43000, xwv44000) → new_esEs15(new_compare19(xwv43000, xwv44000), LT)
new_compare32(xwv43000, xwv44000, ty_Integer) → new_compare8(xwv43000, xwv44000)
new_delFromFM0(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), h, ba, bb) → new_delFromFM25(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), False, h, ba), GT), h, ba, bb)
new_esEs21(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_primMulNat0(Zero, Zero) → Zero
new_compare26(xwv43000, xwv44000, False, cbg) → new_compare14(xwv43000, xwv44000, new_ltEs13(xwv43000, xwv44000, cbg), cbg)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(app(ty_@3, cgh), cha), chb), bag) → new_esEs5(xwv4000, xwv3000, cgh, cha, chb)
new_lt20(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_primPlusInt(xwv3020, Pos(xwv3040)) → new_primMinusNat0(xwv3040, xwv3020)
new_sr(Integer(xwv430000), Integer(xwv440010)) → Integer(new_primMulInt(xwv430000, xwv440010))
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Integer, bag) → new_esEs10(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, ty_Char) → new_esEs16(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_@0) → new_esEs13(xwv400, xwv300)
new_ltEs6(xwv43002, xwv44002, app(app(app(ty_@3, ha), hb), hc)) → new_ltEs5(xwv43002, xwv44002, ha, hb, hc)
new_delFromFM0(Branch(Left(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), h, ba, bb) → new_delFromFM23(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Left(xwv300), new_esEs29(xwv400, xwv300, h), h, ba), GT), h, ba, bb)
new_ltEs21(xwv43001, xwv44001, app(ty_Maybe, dhd)) → new_ltEs13(xwv43001, xwv44001, dhd)
new_ltEs13(Nothing, Just(xwv44000), cab) → True
new_esEs21(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, app(ty_Maybe, dgb)) → new_ltEs13(xwv43000, xwv44000, dgb)
new_lt20(xwv43000, xwv44000, app(app(ty_@2, dc), dd)) → new_lt8(xwv43000, xwv44000, dc, dd)
new_ltEs20(xwv4300, xwv4400, app(ty_Maybe, cbd)) → new_ltEs13(xwv4300, xwv4400, cbd)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Float) → new_esEs11(xwv4000, xwv3000)
new_mkBalBranch6MkBalBranch01(xwv1740, xwv1741, xwv1742, xwv1743, xwv1744, xwv170, xwv171, xwv298, True, bcd, bce, bcf) → new_mkBranch(Succ(Succ(Zero)), xwv1740, xwv1741, new_mkBranch(Succ(Succ(Succ(Zero))), xwv170, xwv171, xwv298, xwv1743, app(app(ty_Either, bcd), bce), bcf), xwv1744, app(app(ty_Either, bcd), bce), bcf)
new_ltEs9(True, False) → False
new_compare1([], :(xwv44000, xwv44001), caa) → LT
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs30(xwv400, xwv300, app(app(ty_Either, bbh), bca)) → new_esEs7(xwv400, xwv300, bbh, bca)
new_esEs20(xwv43001, xwv44001, app(ty_Ratio, fd)) → new_esEs14(xwv43001, xwv44001, fd)
new_esEs20(xwv43001, xwv44001, ty_Float) → new_esEs11(xwv43001, xwv44001)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, app(app(app(ty_@3, dfg), dfh), dga)) → new_ltEs5(xwv43000, xwv44000, dfg, dfh, dga)
new_esEs17(True, True) → True
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Int, cad) → new_ltEs14(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, ty_@0) → new_esEs13(xwv4002, xwv3002)
new_delFromFM26(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, cgc, cgd, cge) → new_mkBalBranch(Right(xwv28), xwv29, xwv31, new_delFromFM0(xwv32, Right(xwv33), cgc, cgd, cge), cgc, cgd, cge)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, app(app(app(ty_@3, dab), dac), dad)) → new_esEs5(xwv4000, xwv3000, dab, dac, dad)
new_delFromFM24(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, h, ba, bb) → new_mkBalBranch(Right(xwv300), xwv31, xwv33, new_delFromFM0(xwv34, Left(xwv400), h, ba, bb), h, ba, bb)
new_primPlusInt0(Neg(xwv4200), xwv419, xwv416, xwv418, bhb, bhc) → new_primPlusInt(xwv4200, new_sizeFM(xwv419, bhb, bhc))
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Char) → new_esEs16(xwv4000, xwv3000)
new_glueBal2Mid_elt100(xwv383, xwv384, xwv385, xwv386, xwv387, xwv388, xwv389, xwv390, xwv391, xwv392, xwv393, xwv394, xwv395, xwv396, EmptyFM, hg, hh) → xwv394
new_esEs5(@3(xwv4000, xwv4001, xwv4002), @3(xwv3000, xwv3001, xwv3002), baa, bab, bac) → new_asAs(new_esEs21(xwv4000, xwv3000, baa), new_asAs(new_esEs22(xwv4001, xwv3001, bab), new_esEs23(xwv4002, xwv3002, bac)))
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_Either, dfa), dfb), cad) → new_ltEs18(xwv43000, xwv44000, dfa, dfb)
new_esEs22(xwv4001, xwv3001, app(ty_Maybe, bfb)) → new_esEs6(xwv4001, xwv3001, bfb)
new_compare16(xwv43000, xwv44000, bgg, bgh, bha) → new_compare27(xwv43000, xwv44000, new_esEs5(xwv43000, xwv44000, bgg, bgh, bha), bgg, bgh, bha)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, app(ty_Maybe, ddg)) → new_esEs6(xwv4001, xwv3001, ddg)
new_esEs22(xwv4001, xwv3001, app(ty_Ratio, bfa)) → new_esEs14(xwv4001, xwv3001, bfa)
new_compare29(Char(xwv43000), Char(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, app(ty_Ratio, bdg)) → new_esEs14(xwv4000, xwv3000, bdg)
new_ltEs6(xwv43002, xwv44002, app(ty_Ratio, gg)) → new_ltEs10(xwv43002, xwv44002, gg)
new_esEs23(xwv4002, xwv3002, ty_Integer) → new_esEs10(xwv4002, xwv3002)
new_ltEs18(Right(xwv43000), Left(xwv44000), cac, cad) → False
new_lt10(xwv43000, xwv44000, cfh) → new_esEs15(new_compare7(xwv43000, xwv44000, cfh), LT)
new_primPlusInt0(Pos(xwv4200), xwv419, xwv416, xwv418, bhb, bhc) → new_primPlusInt1(xwv4200, new_sizeFM(xwv419, bhb, bhc))
new_ltEs6(xwv43002, xwv44002, ty_Bool) → new_ltEs9(xwv43002, xwv44002)
new_ltEs21(xwv43001, xwv44001, app(app(ty_@2, dge), dgf)) → new_ltEs4(xwv43001, xwv44001, dge, dgf)
new_esEs23(xwv4002, xwv3002, ty_Ordering) → new_esEs15(xwv4002, xwv3002)
new_esEs9(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Char) → new_ltEs17(xwv43002, xwv44002)
new_esEs19(xwv43000, xwv44000, app(app(app(ty_@3, ed), ee), ef)) → new_esEs5(xwv43000, xwv44000, ed, ee, ef)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_[], ded), cad) → new_ltEs12(xwv43000, xwv44000, ded)
new_delFromFM14(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, h, ba, bb) → new_mkBalBranch(Left(xwv300), xwv31, new_delFromFM0(xwv33, Right(xwv400), h, ba, bb), xwv34, h, ba, bb)
new_esEs22(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_ltEs19(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs28(xwv43000, xwv44000, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xwv43000, xwv44000, bgg, bgh, bha)
new_esEs22(xwv4001, xwv3001, app(ty_[], bed)) → new_esEs8(xwv4001, xwv3001, bed)
new_delFromFM14(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, h, ba, bb) → new_delFromFM01(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs7(Left(xwv300), Right(xwv400), h, ba), h, ba, bb)
new_esEs22(xwv4001, xwv3001, app(app(ty_Either, beg), beh)) → new_esEs7(xwv4001, xwv3001, beg, beh)
new_lt16(xwv43000, xwv44000) → new_esEs15(new_compare18(xwv43000, xwv44000), LT)
new_compare32(xwv43000, xwv44000, app(app(ty_@2, ccb), ccc)) → new_compare15(xwv43000, xwv44000, ccb, ccc)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Double, bag) → new_esEs18(xwv4000, xwv3000)
new_lt13(xwv43000, xwv44000, bgg, bgh, bha) → new_esEs15(new_compare16(xwv43000, xwv44000, bgg, bgh, bha), LT)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, app(ty_Maybe, dbc)) → new_esEs6(xwv4000, xwv3000, dbc)
new_compare23(xwv43000, xwv44000, False) → new_compare112(xwv43000, xwv44000, new_ltEs11(xwv43000, xwv44000))
new_lt7(xwv43000, xwv44000) → new_esEs15(new_compare31(xwv43000, xwv44000), LT)
new_pePe(False, xwv181) → xwv181
new_esEs27(xwv4001, xwv3001, app(ty_[], dda)) → new_esEs8(xwv4001, xwv3001, dda)
new_esEs7(Left(xwv4000), Right(xwv3000), baf, bag) → False
new_esEs7(Right(xwv4000), Left(xwv3000), baf, bag) → False
new_esEs7(Right(xwv4000), Right(xwv3000), baf, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_mkBalBranch6MkBalBranch11(xwv174, xwv170, xwv171, xwv2980, xwv2981, xwv2982, xwv2983, Branch(xwv29840, xwv29841, xwv29842, xwv29843, xwv29844), False, bcd, bce, bcf) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), xwv29840, xwv29841, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), xwv2980, xwv2981, xwv2983, xwv29843, app(app(ty_Either, bcd), bce), bcf), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), xwv170, xwv171, xwv29844, xwv174, app(app(ty_Either, bcd), bce), bcf), app(app(ty_Either, bcd), bce), bcf)
new_compare25(Left(xwv4300), Right(xwv4400), False, bhd, bhe) → LT
new_ltEs19(xwv4300, xwv4400, app(app(ty_@2, bhf), bhg)) → new_ltEs4(xwv4300, xwv4400, bhf, bhg)
new_esEs30(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs30(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(app(ty_@3, dee), def), deg), cad) → new_ltEs5(xwv43000, xwv44000, dee, def, deg)
new_compare23(xwv43000, xwv44000, True) → EQ
new_esEs27(xwv4001, xwv3001, app(app(ty_Either, ddd), dde)) → new_esEs7(xwv4001, xwv3001, ddd, dde)
new_esEs28(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, app(ty_Maybe, eg)) → new_esEs6(xwv43000, xwv44000, eg)
new_ltEs6(xwv43002, xwv44002, ty_Float) → new_ltEs15(xwv43002, xwv44002)
new_esEs26(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_esEs27(xwv4001, xwv3001, ty_Ordering) → new_esEs15(xwv4001, xwv3001)
new_esEs22(xwv4001, xwv3001, app(app(ty_@2, bee), bef)) → new_esEs4(xwv4001, xwv3001, bee, bef)
new_esEs26(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(app(app(ty_@3, bgg), bgh), bha)) → new_lt13(xwv43000, xwv44000, bgg, bgh, bha)
new_compare24(xwv43000, xwv44000, False, dc, dd) → new_compare11(xwv43000, xwv44000, new_ltEs4(xwv43000, xwv44000, dc, dd), dc, dd)
new_compare9(xwv43, xwv44) → new_primCmpInt(xwv43, xwv44)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_esEs11(Float(xwv4000, xwv4001), Float(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_ltEs12(xwv4300, xwv4400, caa) → new_fsEs(new_compare1(xwv4300, xwv4400, caa))
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs15(EQ, LT) → False
new_esEs15(LT, EQ) → False
new_esEs19(xwv43000, xwv44000, app(app(ty_Either, eh), fa)) → new_esEs7(xwv43000, xwv44000, eh, fa)
new_esEs9(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_compare15(xwv43000, xwv44000, dc, dd) → new_compare24(xwv43000, xwv44000, new_esEs4(xwv43000, xwv44000, dc, dd), dc, dd)
new_delFromFM02(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, False, cgc, cgd, cge) → error([])
new_lt5(xwv43001, xwv44001, ty_Int) → new_lt15(xwv43001, xwv44001)
new_compare111(xwv43000, xwv44000, False) → GT
new_compare111(xwv43000, xwv44000, True) → LT
new_ltEs20(xwv4300, xwv4400, app(ty_[], cah)) → new_ltEs12(xwv4300, xwv4400, cah)
new_esEs29(xwv400, xwv300, app(app(ty_@2, bad), bae)) → new_esEs4(xwv400, xwv300, bad, bae)
new_esEs29(xwv400, xwv300, ty_Integer) → new_esEs10(xwv400, xwv300)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(app(ty_@3, cdd), cde), cdf)) → new_esEs5(xwv4000, xwv3000, cdd, cde, cdf)
new_ltEs20(xwv4300, xwv4400, app(app(ty_@2, cae), caf)) → new_ltEs4(xwv4300, xwv4400, cae, caf)
new_primCmpNat0(Zero, Succ(xwv44000)) → LT
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Int, bag) → new_esEs12(xwv4000, xwv3000)
new_primCmpInt(Neg(Succ(xwv4300)), Neg(xwv440)) → new_primCmpNat1(xwv440, xwv4300)
new_ltEs13(Nothing, Nothing, cab) → True
new_lt4(xwv43000, xwv44000, app(app(ty_Either, eh), fa)) → new_lt19(xwv43000, xwv44000, eh, fa)
new_ltEs19(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_esEs15(GT, EQ) → False
new_esEs15(EQ, GT) → False
new_esEs20(xwv43001, xwv44001, app(ty_[], ff)) → new_esEs8(xwv43001, xwv44001, ff)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, app(app(ty_Either, dgc), dgd)) → new_ltEs18(xwv43000, xwv44000, dgc, dgd)
new_mkBalBranch6MkBalBranch4(xwv174, xwv170, xwv171, xwv298, False, bcd, bce, bcf) → new_mkBalBranch6MkBalBranch3(xwv174, xwv170, xwv171, xwv298, new_gt(new_mkBalBranch6Size_l(xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf), new_sr0(new_sIZE_RATIO, new_mkBalBranch6Size_r(xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf))), bcd, bce, bcf)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_@2, cef), ceg)) → new_ltEs4(xwv43000, xwv44000, cef, ceg)
new_esEs9(xwv4000, xwv3000, app(ty_Ratio, cf)) → new_esEs14(xwv4000, xwv3000, cf)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, ty_Integer) → new_ltEs7(xwv43000, xwv44000)
new_esEs24(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_Either, he), hf)) → new_ltEs18(xwv43002, xwv44002, he, hf)
new_delFromFM16(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, h, ba, bb) → new_delFromFM03(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs7(Right(xwv300), Left(xwv400), h, ba), h, ba, bb)
new_lt19(xwv43000, xwv44000, cga, cgb) → new_esEs15(new_compare12(xwv43000, xwv44000, cga, cgb), LT)
new_pePe(True, xwv181) → True
new_primEqNat0(Zero, Zero) → True
new_esEs14(:%(xwv4000, xwv4001), :%(xwv3000, xwv3001), bah) → new_asAs(new_esEs24(xwv4000, xwv3000, bah), new_esEs25(xwv4001, xwv3001, bah))
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Char, cad) → new_ltEs17(xwv43000, xwv44000)
new_esEs29(xwv400, xwv300, app(ty_Maybe, bba)) → new_esEs6(xwv400, xwv300, bba)
new_esEs26(xwv4000, xwv3000, app(ty_Maybe, dce)) → new_esEs6(xwv4000, xwv3000, dce)
new_primMulNat0(Succ(xwv400000), Succ(xwv300000)) → new_primPlusNat1(new_primMulNat0(xwv400000, Succ(xwv300000)), xwv300000)
new_lt20(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_ltEs4(@2(xwv43000, xwv43001), @2(xwv44000, xwv44001), bhf, bhg) → new_pePe(new_lt20(xwv43000, xwv44000, bhf), new_asAs(new_esEs28(xwv43000, xwv44000, bhf), new_ltEs21(xwv43001, xwv44001, bhg)))
new_delFromFM24(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, h, ba, bb) → new_delFromFM16(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), new_esEs7(Left(xwv400), Right(xwv300), h, ba), h, ba), LT), h, ba, bb)
new_primPlusInt2(Neg(xwv3020), xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf) → new_primPlusInt(xwv3020, new_sizeFM0(xwv174, bcd, bce, bcf))
new_esEs19(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(ty_Maybe, cg)) → new_esEs6(xwv4000, xwv3000, cg)
new_delFromFM01(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, h, ba, bb) → error([])
new_esEs17(False, False) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Char) → new_ltEs17(xwv43000, xwv44000)
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_lt5(xwv43001, xwv44001, app(ty_[], ff)) → new_lt12(xwv43001, xwv44001, ff)
new_mkBalBranch6Size_l(xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf) → new_sizeFM0(xwv298, bcd, bce, bcf)
new_compare110(xwv167, xwv168, False, cbh, cca) → GT
new_lt5(xwv43001, xwv44001, app(app(app(ty_@3, fg), fh), ga)) → new_lt13(xwv43001, xwv44001, fg, fh, ga)
new_ltEs5(@3(xwv43000, xwv43001, xwv43002), @3(xwv44000, xwv44001, xwv44002), de, df, dg) → new_pePe(new_lt4(xwv43000, xwv44000, de), new_asAs(new_esEs19(xwv43000, xwv44000, de), new_pePe(new_lt5(xwv43001, xwv44001, df), new_asAs(new_esEs20(xwv43001, xwv44001, df), new_ltEs6(xwv43002, xwv44002, dg)))))
new_glueBal2Mid_key200(xwv336, xwv337, xwv338, xwv339, xwv340, xwv341, xwv342, xwv343, xwv344, xwv345, xwv346, xwv347, xwv348, Branch(xwv3490, xwv3491, xwv3492, xwv3493, xwv3494), xwv350, bc, bd) → new_glueBal2Mid_key200(xwv336, xwv337, xwv338, xwv339, xwv340, xwv341, xwv342, xwv343, xwv344, xwv345, xwv3490, xwv3491, xwv3492, xwv3493, xwv3494, bc, bd)
new_mkBalBranch(xwv170, xwv171, xwv298, xwv174, bcd, bce, bcf) → new_mkBalBranch6MkBalBranch5(xwv174, xwv170, xwv171, xwv298, new_lt15(new_primPlusInt2(new_mkBalBranch6Size_l(xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf), xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf), Pos(Succ(Succ(Zero)))), bcd, bce, bcf)
new_esEs30(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs26(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_primCmpInt(Pos(Zero), Pos(Succ(xwv4400))) → new_primCmpNat1(Zero, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, app(app(ty_Either, dah), dba)) → new_esEs7(xwv4000, xwv3000, dah, dba)
new_glueBal2GlueBal1(xwv170, xwv171, xwv172, xwv173, xwv174, xwv160, xwv161, xwv162, xwv163, xwv164, False, bcd, bce, bcf) → new_mkBalBranch(new_glueBal2Mid_key100(xwv170, xwv171, xwv172, xwv173, xwv174, xwv160, xwv161, xwv162, xwv163, xwv164, xwv160, xwv161, xwv162, xwv163, xwv164, app(app(ty_Either, bcd), bce), bcf), new_glueBal2Mid_elt100(xwv170, xwv171, xwv172, xwv173, xwv174, xwv160, xwv161, xwv162, xwv163, xwv164, xwv160, xwv161, xwv162, xwv163, xwv164, bcf, app(app(ty_Either, bcd), bce)), new_deleteMax0(xwv160, xwv161, xwv162, xwv163, xwv164, bcd, bce, bcf), Branch(xwv170, xwv171, xwv172, xwv173, xwv174), bcd, bce, bcf)
new_lt20(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Bool) → new_esEs17(xwv43001, xwv44001)
new_esEs22(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs8(xwv4300, xwv4400) → new_fsEs(new_compare31(xwv4300, xwv4400))
new_esEs26(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs23(xwv4002, xwv3002, ty_Int) → new_esEs12(xwv4002, xwv3002)
new_esEs16(Char(xwv4000), Char(xwv3000)) → new_primEqNat0(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_@0) → new_lt7(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_ltEs20(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare17(xwv160, xwv161, True, cgf, cgg) → LT
new_ltEs20(xwv4300, xwv4400, app(app(app(ty_@3, cba), cbb), cbc)) → new_ltEs5(xwv4300, xwv4400, cba, cbb, cbc)
new_esEs29(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_sizeFM0(Branch(xwv330, xwv331, xwv332, xwv333, xwv334), h, ba, bb) → xwv332
new_compare6(xwv43000, xwv44000) → new_compare23(xwv43000, xwv44000, new_esEs15(xwv43000, xwv44000))
new_compare10(xwv43000, xwv44000, False, bgg, bgh, bha) → GT
new_mkBalBranch6MkBalBranch11(xwv174, xwv170, xwv171, xwv2980, xwv2981, xwv2982, xwv2983, xwv2984, True, bcd, bce, bcf) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), xwv2980, xwv2981, xwv2983, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), xwv170, xwv171, xwv2984, xwv174, app(app(ty_Either, bcd), bce), bcf), app(app(ty_Either, bcd), bce), bcf)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Float, cad) → new_ltEs15(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(ty_[], ddh)) → new_esEs8(xwv43000, xwv44000, ddh)
new_delFromFM25(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, h, ba, bb) → new_delFromFM14(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Left(xwv300), new_esEs7(Right(xwv400), Left(xwv300), h, ba), h, ba), LT), h, ba, bb)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Integer, cad) → new_ltEs7(xwv43000, xwv44000)
new_primCmpNat1(Zero, xwv4300) → LT
new_compare32(xwv43000, xwv44000, ty_Bool) → new_compare19(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Double) → new_esEs18(xwv4000, xwv3000)
new_esEs9(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_fsEs(xwv171) → new_not(new_esEs15(xwv171, GT))
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs27(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs17(xwv4300, xwv4400) → new_fsEs(new_compare29(xwv4300, xwv4400))
new_esEs8([], [], be) → True
new_lt4(xwv43000, xwv44000, app(ty_Ratio, eb)) → new_lt10(xwv43000, xwv44000, eb)
new_esEs9(xwv4000, xwv3000, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_primEqInt(Neg(Succ(xwv40000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xwv30000))) → False
new_primCompAux0(xwv195, GT) → GT
new_compare13(xwv43000, xwv44000, cbg) → new_compare26(xwv43000, xwv44000, new_esEs6(xwv43000, xwv44000, cbg), cbg)
new_ltEs18(Left(xwv43000), Right(xwv44000), cac, cad) → True
new_lt4(xwv43000, xwv44000, app(app(app(ty_@3, ed), ee), ef)) → new_lt13(xwv43000, xwv44000, ed, ee, ef)
new_esEs21(xwv4000, xwv3000, ty_Ordering) → new_esEs15(xwv4000, xwv3000)
new_glueBal(Branch(xwv160, xwv161, xwv162, xwv163, xwv164), Branch(xwv170, xwv171, xwv172, xwv173, xwv174), bcd, bce, bcf) → new_glueBal2GlueBal1(xwv170, xwv171, xwv172, xwv173, xwv174, xwv160, xwv161, xwv162, xwv163, xwv164, new_gt(new_sizeFM0(Branch(xwv170, xwv171, xwv172, xwv173, xwv174), bcd, bce, bcf), new_sizeFM0(Branch(xwv160, xwv161, xwv162, xwv163, xwv164), bcd, bce, bcf)), bcd, bce, bcf)
new_primPlusNat1(Zero, xwv300000) → Succ(xwv300000)
new_delFromFM0(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Right(xwv400), h, ba, bb) → new_delFromFM26(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Right(xwv400), Right(xwv300), new_esEs30(xwv400, xwv300, ba), h, ba), GT), h, ba, bb)
new_ltEs19(xwv4300, xwv4400, ty_Int) → new_ltEs14(xwv4300, xwv4400)
new_compare24(xwv43000, xwv44000, True, dc, dd) → EQ
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Int) → new_compare9(new_sr0(xwv43000, xwv44001), new_sr0(xwv44000, xwv43001))
new_ltEs6(xwv43002, xwv44002, ty_@0) → new_ltEs8(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_esEs22(xwv4001, xwv3001, app(app(app(ty_@3, bea), beb), bec)) → new_esEs5(xwv4001, xwv3001, bea, beb, bec)
new_esEs22(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, ty_Int) → new_ltEs14(xwv43001, xwv44001)
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_esEs26(xwv4000, xwv3000, app(app(ty_Either, dcb), dcc)) → new_esEs7(xwv4000, xwv3000, dcb, dcc)
new_gt(xwv124, xwv123) → new_esEs15(new_compare9(xwv124, xwv123), GT)
new_ltEs20(xwv4300, xwv4400, app(app(ty_Either, cbe), cbf)) → new_ltEs18(xwv4300, xwv4400, cbe, cbf)
new_lt4(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_lt8(xwv43000, xwv44000, dh, ea)
new_esEs23(xwv4002, xwv3002, ty_Char) → new_esEs16(xwv4002, xwv3002)
new_primCmpNat1(Succ(xwv4400), xwv4300) → new_primCmpNat0(xwv4400, xwv4300)
new_primMinusNat0(Succ(xwv30200), Zero) → Pos(Succ(xwv30200))
new_primCmpNat0(Succ(xwv43000), Succ(xwv44000)) → new_primCmpNat0(xwv43000, xwv44000)
new_sizeFM(EmptyFM, bhb, bhc) → Pos(Zero)
new_esEs6(Nothing, Nothing, bba) → True
new_compare112(xwv43000, xwv44000, True) → LT
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Double, cad) → new_ltEs16(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, ty_Bool) → new_ltEs9(xwv43000, xwv44000)
new_lt5(xwv43001, xwv44001, app(ty_Maybe, gb)) → new_lt14(xwv43001, xwv44001, gb)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Succ(xwv30000))) → new_primEqNat0(xwv40000, xwv30000)
new_ltEs6(xwv43002, xwv44002, app(app(ty_@2, ge), gf)) → new_ltEs4(xwv43002, xwv44002, ge, gf)
new_esEs26(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_lt20(xwv43000, xwv44000, app(ty_[], ddh)) → new_lt12(xwv43000, xwv44000, ddh)
new_esEs21(xwv4000, xwv3000, app(ty_Maybe, bdh)) → new_esEs6(xwv4000, xwv3000, bdh)
new_mkBalBranch6MkBalBranch01(xwv1740, xwv1741, xwv1742, EmptyFM, xwv1744, xwv170, xwv171, xwv298, False, bcd, bce, bcf) → error([])
new_esEs9(xwv4000, xwv3000, app(ty_[], ca)) → new_esEs8(xwv4000, xwv3000, ca)
new_esEs28(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_mkBalBranch6Size_r(xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf) → new_sizeFM0(xwv174, bcd, bce, bcf)
new_compare14(xwv43000, xwv44000, False, cbg) → GT
new_ltEs19(xwv4300, xwv4400, app(ty_Ratio, bhh)) → new_ltEs10(xwv4300, xwv4400, bhh)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Nothing, bba) → False
new_esEs6(Nothing, Just(xwv3000), bba) → False
new_primEqNat0(Succ(xwv40000), Succ(xwv30000)) → new_primEqNat0(xwv40000, xwv30000)
new_esEs23(xwv4002, xwv3002, app(ty_[], bff)) → new_esEs8(xwv4002, xwv3002, bff)
new_ltEs7(xwv4300, xwv4400) → new_fsEs(new_compare8(xwv4300, xwv4400))
new_esEs23(xwv4002, xwv3002, app(ty_Ratio, bgc)) → new_esEs14(xwv4002, xwv3002, bgc)
new_esEs20(xwv43001, xwv44001, ty_Ordering) → new_esEs15(xwv43001, xwv44001)
new_ltEs21(xwv43001, xwv44001, ty_Ordering) → new_ltEs11(xwv43001, xwv44001)
new_sizeFM0(EmptyFM, h, ba, bb) → Pos(Zero)
new_primCompAux1(xwv43000, xwv44000, xwv182, caa) → new_primCompAux0(xwv182, new_compare32(xwv43000, xwv44000, caa))
new_esEs27(xwv4001, xwv3001, ty_Char) → new_esEs16(xwv4001, xwv3001)
new_ltEs21(xwv43001, xwv44001, app(ty_Ratio, dgg)) → new_ltEs10(xwv43001, xwv44001, dgg)
new_lt8(xwv43000, xwv44000, dc, dd) → new_esEs15(new_compare15(xwv43000, xwv44000, dc, dd), LT)
new_lt5(xwv43001, xwv44001, ty_Ordering) → new_lt11(xwv43001, xwv44001)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, app(ty_Ratio, dbb)) → new_esEs14(xwv4000, xwv3000, dbb)
new_mkBalBranch6MkBalBranch11(xwv174, xwv170, xwv171, xwv2980, xwv2981, xwv2982, xwv2983, EmptyFM, False, bcd, bce, bcf) → error([])
new_compare32(xwv43000, xwv44000, app(app(ty_Either, cdb), cdc)) → new_compare12(xwv43000, xwv44000, cdb, cdc)
new_esEs26(xwv4000, xwv3000, app(app(ty_@2, dbh), dca)) → new_esEs4(xwv4000, xwv3000, dbh, dca)
new_esEs27(xwv4001, xwv3001, app(app(app(ty_@3, dcf), dcg), dch)) → new_esEs5(xwv4001, xwv3001, dcf, dcg, dch)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, app(ty_[], dff)) → new_ltEs12(xwv43000, xwv44000, dff)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(ty_Either, cff), cfg)) → new_ltEs18(xwv43000, xwv44000, cff, cfg)
new_esEs30(xwv400, xwv300, app(ty_Ratio, bcb)) → new_esEs14(xwv400, xwv300, bcb)
new_mkBalBranch6MkBalBranch01(xwv1740, xwv1741, xwv1742, Branch(xwv17430, xwv17431, xwv17432, xwv17433, xwv17434), xwv1744, xwv170, xwv171, xwv298, False, bcd, bce, bcf) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), xwv17430, xwv17431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), xwv170, xwv171, xwv298, xwv17433, app(app(ty_Either, bcd), bce), bcf), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), xwv1740, xwv1741, xwv17434, xwv1744, app(app(ty_Either, bcd), bce), bcf), app(app(ty_Either, bcd), bce), bcf)
new_primEqInt(Pos(Succ(xwv40000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xwv30000))) → False
new_esEs29(xwv400, xwv300, app(ty_[], be)) → new_esEs8(xwv400, xwv300, be)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(app(ty_@2, dea), deb), cad) → new_ltEs4(xwv43000, xwv44000, dea, deb)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_Ordering, cad) → new_ltEs11(xwv43000, xwv44000)
new_lt20(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_primPlusNat0(Zero, Succ(xwv13100)) → Succ(xwv13100)
new_primPlusNat0(Succ(xwv33200), Zero) → Succ(xwv33200)
new_lt4(xwv43000, xwv44000, ty_Double) → new_lt17(xwv43000, xwv44000)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(xwv43000), Zero) → GT
new_esEs29(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs21(xwv4000, xwv3000, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_primCmpInt(Neg(Zero), Pos(Succ(xwv4400))) → LT
new_compare32(xwv43000, xwv44000, ty_Ordering) → new_compare6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_@0) → new_esEs13(xwv43000, xwv44000)
new_esEs21(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare11(xwv43000, xwv44000, True, dc, dd) → LT
new_lt4(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_compare12(xwv43000, xwv44000, cga, cgb) → new_compare25(xwv43000, xwv44000, new_esEs7(xwv43000, xwv44000, cga, cgb), cga, cgb)
new_compare32(xwv43000, xwv44000, app(app(app(ty_@3, ccf), ccg), cch)) → new_compare16(xwv43000, xwv44000, ccf, ccg, cch)
new_ltEs19(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primEqInt(Pos(Succ(xwv40000)), Neg(xwv3000)) → False
new_primEqInt(Neg(Succ(xwv40000)), Pos(xwv3000)) → False
new_esEs4(@2(xwv4000, xwv4001), @2(xwv3000, xwv3001), bad, bae) → new_asAs(new_esEs26(xwv4000, xwv3000, bad), new_esEs27(xwv4001, xwv3001, bae))
new_lt6(xwv43000, xwv44000) → new_esEs15(new_compare8(xwv43000, xwv44000), LT)
new_esEs26(xwv4000, xwv3000, ty_Double) → new_esEs18(xwv4000, xwv3000)
new_lt5(xwv43001, xwv44001, ty_Bool) → new_lt9(xwv43001, xwv44001)
new_ltEs20(xwv4300, xwv4400, ty_Float) → new_ltEs15(xwv4300, xwv4400)
new_glueBal2Mid_elt100(xwv383, xwv384, xwv385, xwv386, xwv387, xwv388, xwv389, xwv390, xwv391, xwv392, xwv393, xwv394, xwv395, xwv396, Branch(xwv3970, xwv3971, xwv3972, xwv3973, xwv3974), hg, hh) → new_glueBal2Mid_elt100(xwv383, xwv384, xwv385, xwv386, xwv387, xwv388, xwv389, xwv390, xwv391, xwv392, xwv3970, xwv3971, xwv3972, xwv3973, xwv3974, hg, hh)
new_esEs28(xwv43000, xwv44000, app(ty_Maybe, cbg)) → new_esEs6(xwv43000, xwv44000, cbg)
new_ltEs21(xwv43001, xwv44001, ty_@0) → new_ltEs8(xwv43001, xwv44001)
new_ltEs11(GT, LT) → False
new_primEqInt(Pos(Zero), Neg(Succ(xwv30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xwv30000))) → False
new_compare32(xwv43000, xwv44000, ty_Int) → new_compare9(xwv43000, xwv44000)
new_esEs13(@0, @0) → True
new_esEs28(xwv43000, xwv44000, app(app(ty_Either, cga), cgb)) → new_esEs7(xwv43000, xwv44000, cga, cgb)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs19(xwv43000, xwv44000, app(ty_Ratio, eb)) → new_esEs14(xwv43000, xwv44000, eb)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, app(app(ty_@2, dfc), dfd)) → new_ltEs4(xwv43000, xwv44000, dfc, dfd)
new_lt20(xwv43000, xwv44000, ty_Integer) → new_lt6(xwv43000, xwv44000)
new_esEs19(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_ltEs11(LT, EQ) → True
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, app(ty_Ratio, dfe)) → new_ltEs10(xwv43000, xwv44000, dfe)
new_compare17(xwv160, xwv161, False, cgf, cgg) → GT
new_esEs30(xwv400, xwv300, ty_Double) → new_esEs18(xwv400, xwv300)
new_esEs28(xwv43000, xwv44000, app(ty_Ratio, cfh)) → new_esEs14(xwv43000, xwv44000, cfh)
new_esEs27(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_compare26(xwv43000, xwv44000, True, cbg) → EQ
new_esEs29(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_ltEs11(LT, LT) → True
new_primCompAux0(xwv195, LT) → LT
new_lt4(xwv43000, xwv44000, ty_Char) → new_lt18(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, ty_Float) → new_esEs11(xwv4002, xwv3002)
new_not(False) → True
new_ltEs21(xwv43001, xwv44001, ty_Double) → new_ltEs16(xwv43001, xwv44001)
new_glueBal(EmptyFM, xwv17, bcd, bce, bcf) → xwv17
new_ltEs20(xwv4300, xwv4400, app(ty_Ratio, cag)) → new_ltEs10(xwv4300, xwv4400, cag)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Maybe, daa), bag) → new_esEs6(xwv4000, xwv3000, daa)
new_delFromFM23(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, bcd, bce, bcf) → new_mkBalBranch(Left(xwv13), xwv14, xwv16, new_delFromFM0(xwv17, Left(xwv18), bcd, bce, bcf), bcd, bce, bcf)
new_esEs22(xwv4001, xwv3001, ty_Float) → new_esEs11(xwv4001, xwv3001)
new_esEs26(xwv4000, xwv3000, app(ty_Ratio, dcd)) → new_esEs14(xwv4000, xwv3000, dcd)
new_delFromFM03(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, False, h, ba, bb) → error([])
new_esEs7(Right(xwv4000), Right(xwv3000), baf, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_esEs22(xwv4001, xwv3001, ty_Bool) → new_esEs17(xwv4001, xwv3001)
new_compare32(xwv43000, xwv44000, app(ty_[], cce)) → new_compare1(xwv43000, xwv44000, cce)
new_ltEs19(xwv4300, xwv4400, app(ty_[], caa)) → new_ltEs12(xwv4300, xwv4400, caa)
new_esEs20(xwv43001, xwv44001, ty_Integer) → new_esEs10(xwv43001, xwv44001)
new_deleteMax0(xwv160, xwv161, xwv162, xwv163, EmptyFM, bcd, bce, bcf) → xwv163
new_glueBal2Mid_key100(xwv399, xwv400, xwv401, xwv402, xwv403, xwv404, xwv405, xwv406, xwv407, xwv408, xwv409, xwv410, xwv411, xwv412, Branch(xwv4130, xwv4131, xwv4132, xwv4133, xwv4134), bge, bgf) → new_glueBal2Mid_key100(xwv399, xwv400, xwv401, xwv402, xwv403, xwv404, xwv405, xwv406, xwv407, xwv408, xwv4130, xwv4131, xwv4132, xwv4133, xwv4134, bge, bgf)
new_esEs25(xwv4001, xwv3001, ty_Integer) → new_esEs10(xwv4001, xwv3001)
new_esEs9(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare32(xwv43000, xwv44000, ty_Float) → new_compare18(xwv43000, xwv44000)
new_delFromFM16(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, h, ba, bb) → new_mkBalBranch(Right(xwv300), xwv31, new_delFromFM0(xwv33, Left(xwv400), h, ba, bb), xwv34, h, ba, bb)
new_ltEs11(GT, GT) → True
new_compare28(xwv43000, xwv44000, True) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Float) → new_ltEs15(xwv43000, xwv44000)
new_ltEs19(xwv4300, xwv4400, app(app(ty_Either, cac), cad)) → new_ltEs18(xwv4300, xwv4400, cac, cad)
new_compare11(xwv43000, xwv44000, False, dc, dd) → GT
new_delFromFM15(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, cgc, cgd, cge) → new_mkBalBranch(Right(xwv28), xwv29, new_delFromFM0(xwv31, Right(xwv33), cgc, cgd, cge), xwv32, cgc, cgd, cge)
new_esEs20(xwv43001, xwv44001, app(app(app(ty_@3, fg), fh), ga)) → new_esEs5(xwv43001, xwv44001, fg, fh, ga)
new_primCmpInt(Pos(Succ(xwv4300)), Neg(xwv440)) → GT
new_compare32(xwv43000, xwv44000, app(ty_Maybe, cda)) → new_compare13(xwv43000, xwv44000, cda)
new_delFromFM0(Branch(Right(xwv300), xwv31, xwv32, xwv33, xwv34), Left(xwv400), h, ba, bb) → new_delFromFM24(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, new_esEs15(new_compare25(Left(xwv400), Right(xwv300), False, h, ba), GT), h, ba, bb)
new_compare19(xwv43000, xwv44000) → new_compare28(xwv43000, xwv44000, new_esEs17(xwv43000, xwv44000))
new_esEs21(xwv4000, xwv3000, app(app(app(ty_@3, bcg), bch), bda)) → new_esEs5(xwv4000, xwv3000, bcg, bch, bda)
new_lt4(xwv43000, xwv44000, ty_@0) → new_lt7(xwv43000, xwv44000)
new_deleteMax0(xwv160, xwv161, xwv162, xwv163, Branch(xwv1640, xwv1641, xwv1642, xwv1643, xwv1644), bcd, bce, bcf) → new_mkBalBranch(xwv160, xwv161, xwv163, new_deleteMax0(xwv1640, xwv1641, xwv1642, xwv1643, xwv1644, bcd, bce, bcf), bcd, bce, bcf)
new_ltEs6(xwv43002, xwv44002, ty_Integer) → new_ltEs7(xwv43002, xwv44002)
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_Ratio, chh), bag) → new_esEs14(xwv4000, xwv3000, chh)
new_esEs22(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_primMulInt(Pos(xwv40000), Pos(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_lt14(xwv43000, xwv44000, cbg) → new_esEs15(new_compare13(xwv43000, xwv44000, cbg), LT)
new_esEs21(xwv4000, xwv3000, app(app(ty_@2, bdc), bdd)) → new_esEs4(xwv4000, xwv3000, bdc, bdd)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Float, bag) → new_esEs11(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_compare7(:%(xwv43000, xwv43001), :%(xwv44000, xwv44001), ty_Integer) → new_compare8(new_sr(xwv43000, xwv44001), new_sr(xwv44000, xwv43001))
new_ltEs20(xwv4300, xwv4400, ty_Bool) → new_ltEs9(xwv4300, xwv4400)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, ty_Int) → new_esEs12(xwv4000, xwv3000)
new_ltEs9(True, True) → True
new_lt4(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_primMulInt(Neg(xwv40000), Neg(xwv30000)) → Pos(new_primMulNat0(xwv40000, xwv30000))
new_delFromFM13(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, False, bcd, bce, bcf) → new_delFromFM00(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, new_esEs7(Left(xwv13), Left(xwv18), bcd, bce), bcd, bce, bcf)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, app(app(ty_@2, daf), dag)) → new_esEs4(xwv4000, xwv3000, daf, dag)
new_mkBalBranch6MkBalBranch4(EmptyFM, xwv170, xwv171, xwv298, True, bcd, bce, bcf) → error([])
new_primEqNat0(Zero, Succ(xwv30000)) → False
new_primEqNat0(Succ(xwv40000), Zero) → False
new_mkBalBranch6MkBalBranch5(xwv174, xwv170, xwv171, xwv298, False, bcd, bce, bcf) → new_mkBalBranch6MkBalBranch4(xwv174, xwv170, xwv171, xwv298, new_gt(new_mkBalBranch6Size_r(xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf), new_sr0(new_sIZE_RATIO, new_mkBalBranch6Size_l(xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf))), bcd, bce, bcf)
new_primPlusNat0(Zero, Zero) → Zero
new_ltEs21(xwv43001, xwv44001, ty_Integer) → new_ltEs7(xwv43001, xwv44001)
new_esEs15(GT, LT) → False
new_esEs15(LT, GT) → False
new_esEs9(xwv4000, xwv3000, app(app(app(ty_@3, bf), bg), bh)) → new_esEs5(xwv4000, xwv3000, bf, bg, bh)
new_compare25(xwv430, xwv440, True, bhd, bhe) → EQ
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs21(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs9(False, False) → True
new_esEs10(Integer(xwv4000), Integer(xwv3000)) → new_primEqInt(xwv4000, xwv3000)
new_delFromFM00(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, bcd, bce, bcf) → new_glueBal(xwv16, xwv17, bcd, bce, bcf)
new_esEs25(xwv4001, xwv3001, ty_Int) → new_esEs12(xwv4001, xwv3001)
new_delFromFM00(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, False, bcd, bce, bcf) → error([])
new_esEs15(LT, LT) → True
new_delFromFM13(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, True, bcd, bce, bcf) → new_mkBalBranch(Left(xwv13), xwv14, new_delFromFM0(xwv16, Left(xwv18), bcd, bce, bcf), xwv17, bcd, bce, bcf)
new_ltEs19(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_sizeFM(Branch(xwv4180, xwv4181, xwv4182, xwv4183, xwv4184), bhb, bhc) → xwv4182
new_esEs7(Left(xwv4000), Left(xwv3000), app(ty_[], chc), bag) → new_esEs8(xwv4000, xwv3000, chc)
new_primCmpInt(Neg(Zero), Neg(Succ(xwv4400))) → new_primCmpNat2(xwv4400, Zero)
new_ltEs21(xwv43001, xwv44001, app(app(app(ty_@3, dha), dhb), dhc)) → new_ltEs5(xwv43001, xwv44001, dha, dhb, dhc)
new_esEs21(xwv4000, xwv3000, app(app(ty_Either, bde), bdf)) → new_esEs7(xwv4000, xwv3000, bde, bdf)
new_mkBalBranch6MkBalBranch3(xwv174, xwv170, xwv171, EmptyFM, True, bcd, bce, bcf) → error([])
new_primPlusNat1(Succ(xwv1400), xwv300000) → Succ(Succ(new_primPlusNat0(xwv1400, xwv300000)))
new_esEs8(:(xwv4000, xwv4001), :(xwv3000, xwv3001), be) → new_asAs(new_esEs9(xwv4000, xwv3000, be), new_esEs8(xwv4001, xwv3001, be))
new_esEs23(xwv4002, xwv3002, ty_Double) → new_esEs18(xwv4002, xwv3002)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Ratio, dec), cad) → new_ltEs10(xwv43000, xwv44000, dec)
new_esEs29(xwv400, xwv300, app(app(app(ty_@3, baa), bab), bac)) → new_esEs5(xwv400, xwv300, baa, bab, bac)
new_delFromFM02(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, True, cgc, cgd, cge) → new_glueBal(xwv31, xwv32, cgc, cgd, cge)
new_primMinusNat0(Zero, Zero) → Pos(Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xwv4400))) → GT
new_esEs23(xwv4002, xwv3002, ty_Bool) → new_esEs17(xwv4002, xwv3002)
new_lt11(xwv43000, xwv44000) → new_esEs15(new_compare6(xwv43000, xwv44000), LT)
new_esEs7(Left(xwv4000), Left(xwv3000), app(app(ty_@2, chd), che), bag) → new_esEs4(xwv4000, xwv3000, chd, che)
new_esEs12(xwv400, xwv300) → new_primEqInt(xwv400, xwv300)
new_lt20(xwv43000, xwv44000, ty_Float) → new_lt16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Int) → new_esEs12(xwv4000, xwv3000)
new_glueBal2Mid_elt200(xwv320, xwv321, xwv322, xwv323, xwv324, xwv325, xwv326, xwv327, xwv328, xwv329, xwv330, xwv331, xwv332, Branch(xwv3330, xwv3331, xwv3332, xwv3333, xwv3334), xwv334, da, db) → new_glueBal2Mid_elt200(xwv320, xwv321, xwv322, xwv323, xwv324, xwv325, xwv326, xwv327, xwv328, xwv329, xwv3330, xwv3331, xwv3332, xwv3333, xwv3334, da, db)
new_sr0(xwv4000, xwv3000) → new_primMulInt(xwv4000, xwv3000)
new_sIZE_RATIO → Pos(Succ(Succ(Succ(Succ(Succ(Zero))))))
new_ltEs20(xwv4300, xwv4400, ty_Ordering) → new_ltEs11(xwv4300, xwv4400)
new_esEs18(Double(xwv4000, xwv4001), Double(xwv3000, xwv3001)) → new_esEs12(new_sr0(xwv4000, xwv3000), new_sr0(xwv4001, xwv3001))
new_esEs19(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_delFromFM15(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, False, cgc, cgd, cge) → new_delFromFM02(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, new_esEs7(Right(xwv28), Right(xwv33), cgc, cgd), cgc, cgd, cge)
new_esEs19(xwv43000, xwv44000, ty_Ordering) → new_esEs15(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, app(app(ty_Either, gc), gd)) → new_esEs7(xwv43001, xwv44001, gc, gd)
new_ltEs11(EQ, EQ) → True
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Maybe, cfe)) → new_ltEs13(xwv43000, xwv44000, cfe)
new_compare32(xwv43000, xwv44000, ty_@0) → new_compare31(xwv43000, xwv44000)
new_esEs9(xwv4000, xwv3000, app(app(ty_@2, cb), cc)) → new_esEs4(xwv4000, xwv3000, cb, cc)
new_mkBalBranch6MkBalBranch3(xwv174, xwv170, xwv171, xwv298, False, bcd, bce, bcf) → new_mkBranch(Succ(Zero), xwv170, xwv171, xwv298, xwv174, app(app(ty_Either, bcd), bce), bcf)
new_deleteMin0(xwv170, xwv171, xwv172, EmptyFM, xwv174, bcd, bce, bcf) → xwv174
new_esEs27(xwv4001, xwv3001, ty_Double) → new_esEs18(xwv4001, xwv3001)
new_compare27(xwv43000, xwv44000, False, bgg, bgh, bha) → new_compare10(xwv43000, xwv44000, new_ltEs5(xwv43000, xwv44000, bgg, bgh, bha), bgg, bgh, bha)
new_ltEs13(Just(xwv43000), Nothing, cab) → False
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs27(xwv4001, xwv3001, app(ty_Ratio, ddf)) → new_esEs14(xwv4001, xwv3001, ddf)
new_delFromFM01(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, h, ba, bb) → new_glueBal(xwv33, xwv34, h, ba, bb)
new_esEs29(xwv400, xwv300, ty_Bool) → new_esEs17(xwv400, xwv300)
new_esEs20(xwv43001, xwv44001, app(ty_Maybe, gb)) → new_esEs6(xwv43001, xwv44001, gb)
new_compare31(@0, @0) → EQ
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Int) → new_ltEs14(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, app(app(ty_@2, dc), dd)) → new_esEs4(xwv43000, xwv44000, dc, dd)
new_asAs(False, xwv95) → False
new_ltEs20(xwv4300, xwv4400, ty_Double) → new_ltEs16(xwv4300, xwv4400)
new_primMulInt(Pos(xwv40000), Neg(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulInt(Neg(xwv40000), Pos(xwv30000)) → Neg(new_primMulNat0(xwv40000, xwv30000))
new_primMulNat0(Succ(xwv400000), Zero) → Zero
new_primMulNat0(Zero, Succ(xwv300000)) → Zero
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Maybe, cee)) → new_esEs6(xwv4000, xwv3000, cee)
new_ltEs20(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_esEs9(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_ltEs11(EQ, LT) → False
new_primCmpNat2(xwv4300, Zero) → GT
new_esEs29(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_primPlusInt2(Pos(xwv3020), xwv174, xwv170, xwv171, xwv298, bcd, bce, bcf) → new_primPlusInt1(xwv3020, new_sizeFM0(xwv174, bcd, bce, bcf))
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_@2, cdh), cea)) → new_esEs4(xwv4000, xwv3000, cdh, cea)
new_glueBal2Mid_key100(xwv399, xwv400, xwv401, xwv402, xwv403, xwv404, xwv405, xwv406, xwv407, xwv408, xwv409, xwv410, xwv411, xwv412, EmptyFM, bge, bgf) → xwv409
new_esEs28(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_esEs27(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_Ratio, ceh)) → new_ltEs10(xwv43000, xwv44000, ceh)
new_ltEs6(xwv43002, xwv44002, app(ty_Maybe, hd)) → new_ltEs13(xwv43002, xwv44002, hd)
new_delFromFM23(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, False, bcd, bce, bcf) → new_delFromFM13(xwv13, xwv14, xwv15, xwv16, xwv17, xwv18, new_esEs15(new_compare25(Left(xwv18), Left(xwv13), new_esEs7(Left(xwv18), Left(xwv13), bcd, bce), bcd, bce), LT), bcd, bce, bcf)
new_compare32(xwv43000, xwv44000, ty_Double) → new_compare30(xwv43000, xwv44000)
new_esEs23(xwv4002, xwv3002, app(ty_Maybe, bgd)) → new_esEs6(xwv4002, xwv3002, bgd)
new_primPlusInt1(xwv3020, Neg(xwv3030)) → new_primMinusNat0(xwv3020, xwv3030)
new_mkBranch(xwv415, xwv416, xwv417, xwv418, xwv419, bhb, bhc) → Branch(xwv416, xwv417, new_primPlusInt0(new_primPlusInt1(Succ(Zero), new_sizeFM(xwv418, bhb, bhc)), xwv419, xwv416, xwv418, bhb, bhc), xwv418, xwv419)
new_lt5(xwv43001, xwv44001, ty_Integer) → new_lt6(xwv43001, xwv44001)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(ty_[], cfa)) → new_ltEs12(xwv43000, xwv44000, cfa)
new_lt17(xwv43000, xwv44000) → new_esEs15(new_compare30(xwv43000, xwv44000), LT)
new_compare14(xwv43000, xwv44000, True, cbg) → LT
new_lt12(xwv43000, xwv44000, ddh) → new_esEs15(new_compare1(xwv43000, xwv44000, ddh), LT)
new_lt5(xwv43001, xwv44001, ty_Double) → new_lt17(xwv43001, xwv44001)
new_esEs21(xwv4000, xwv3000, app(ty_[], bdb)) → new_esEs8(xwv4000, xwv3000, bdb)
new_mkBalBranch6MkBalBranch3(xwv174, xwv170, xwv171, Branch(xwv2980, xwv2981, xwv2982, xwv2983, xwv2984), True, bcd, bce, bcf) → new_mkBalBranch6MkBalBranch11(xwv174, xwv170, xwv171, xwv2980, xwv2981, xwv2982, xwv2983, xwv2984, new_lt15(new_sizeFM0(xwv2984, bcd, bce, bcf), new_sr0(Pos(Succ(Succ(Zero))), new_sizeFM0(xwv2983, bcd, bce, bcf))), bcd, bce, bcf)
new_lt20(xwv43000, xwv44000, app(ty_Maybe, cbg)) → new_lt14(xwv43000, xwv44000, cbg)
new_compare25(Left(xwv4300), Left(xwv4400), False, bhd, bhe) → new_compare17(xwv4300, xwv4400, new_ltEs19(xwv4300, xwv4400, bhd), bhd, bhe)
new_mkBalBranch6MkBalBranch4(Branch(xwv1740, xwv1741, xwv1742, xwv1743, xwv1744), xwv170, xwv171, xwv298, True, bcd, bce, bcf) → new_mkBalBranch6MkBalBranch01(xwv1740, xwv1741, xwv1742, xwv1743, xwv1744, xwv170, xwv171, xwv298, new_lt15(new_sizeFM0(xwv1743, bcd, bce, bcf), new_sr0(Pos(Succ(Succ(Zero))), new_sizeFM0(xwv1744, bcd, bce, bcf))), bcd, bce, bcf)
new_ltEs9(False, True) → True
new_glueBal2GlueBal1(xwv170, xwv171, xwv172, xwv173, xwv174, xwv160, xwv161, xwv162, xwv163, xwv164, True, bcd, bce, bcf) → new_mkBalBranch(new_glueBal2Mid_key200(xwv170, xwv171, xwv172, xwv173, xwv174, xwv160, xwv161, xwv162, xwv163, xwv164, xwv170, xwv171, xwv172, xwv173, xwv174, app(app(ty_Either, bcd), bce), bcf), new_glueBal2Mid_elt200(xwv170, xwv171, xwv172, xwv173, xwv174, xwv160, xwv161, xwv162, xwv163, xwv164, xwv170, xwv171, xwv172, xwv173, xwv174, bcf, app(app(ty_Either, bcd), bce)), Branch(xwv160, xwv161, xwv162, xwv163, xwv164), new_deleteMin0(xwv170, xwv171, xwv172, xwv173, xwv174, bcd, bce, bcf), bcd, bce, bcf)
new_esEs30(xwv400, xwv300, app(ty_[], bbe)) → new_esEs8(xwv400, xwv300, bbe)
new_esEs20(xwv43001, xwv44001, app(app(ty_@2, fb), fc)) → new_esEs4(xwv43001, xwv44001, fb, fc)
new_esEs24(xwv4000, xwv3000, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_deleteMin0(xwv170, xwv171, xwv172, Branch(xwv1730, xwv1731, xwv1732, xwv1733, xwv1734), xwv174, bcd, bce, bcf) → new_mkBalBranch(xwv170, xwv171, new_deleteMin0(xwv1730, xwv1731, xwv1732, xwv1733, xwv1734, bcd, bce, bcf), xwv174, bcd, bce, bcf)
new_ltEs19(xwv4300, xwv4400, ty_@0) → new_ltEs8(xwv4300, xwv4400)
new_primMinusNat0(Zero, Succ(xwv30300)) → Neg(Succ(xwv30300))
new_ltEs19(xwv4300, xwv4400, app(app(app(ty_@3, de), df), dg)) → new_ltEs5(xwv4300, xwv4400, de, df, dg)
new_ltEs6(xwv43002, xwv44002, app(ty_[], gh)) → new_ltEs12(xwv43002, xwv44002, gh)
new_lt18(xwv43000, xwv44000) → new_esEs15(new_compare29(xwv43000, xwv44000), LT)
new_esEs27(xwv4001, xwv3001, app(app(ty_@2, ddb), ddc)) → new_esEs4(xwv4001, xwv3001, ddb, ddc)
new_lt5(xwv43001, xwv44001, app(app(ty_Either, gc), gd)) → new_lt19(xwv43001, xwv44001, gc, gd)
new_esEs28(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_ltEs19(xwv4300, xwv4400, app(ty_Maybe, cab)) → new_ltEs13(xwv4300, xwv4400, cab)
new_esEs30(xwv400, xwv300, ty_Int) → new_esEs12(xwv400, xwv300)
new_esEs7(Right(xwv4000), Right(xwv3000), baf, ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_glueBal2Mid_key200(xwv336, xwv337, xwv338, xwv339, xwv340, xwv341, xwv342, xwv343, xwv344, xwv345, xwv346, xwv347, xwv348, EmptyFM, xwv350, bc, bd) → xwv346
new_ltEs6(xwv43002, xwv44002, ty_Ordering) → new_ltEs11(xwv43002, xwv44002)
new_lt20(xwv43000, xwv44000, ty_Ordering) → new_lt11(xwv43000, xwv44000)
new_esEs30(xwv400, xwv300, ty_Ordering) → new_esEs15(xwv400, xwv300)
new_esEs19(xwv43000, xwv44000, ty_Double) → new_esEs18(xwv43000, xwv44000)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, ty_@0) → new_ltEs8(xwv43000, xwv44000)
new_lt4(xwv43000, xwv44000, ty_Int) → new_lt15(xwv43000, xwv44000)
new_esEs20(xwv43001, xwv44001, ty_Int) → new_esEs12(xwv43001, xwv44001)
new_esEs26(xwv4000, xwv3000, ty_Bool) → new_esEs17(xwv4000, xwv3000)
new_ltEs18(Left(xwv43000), Left(xwv44000), app(ty_Maybe, deh), cad) → new_ltEs13(xwv43000, xwv44000, deh)
new_compare112(xwv43000, xwv44000, False) → GT
new_esEs19(xwv43000, xwv44000, ty_Bool) → new_esEs17(xwv43000, xwv44000)
new_esEs28(xwv43000, xwv44000, ty_Float) → new_esEs11(xwv43000, xwv44000)
new_ltEs6(xwv43002, xwv44002, ty_Double) → new_ltEs16(xwv43002, xwv44002)
new_esEs29(xwv400, xwv300, app(app(ty_Either, baf), bag)) → new_esEs7(xwv400, xwv300, baf, bag)
new_lt4(xwv43000, xwv44000, ty_Bool) → new_lt9(xwv43000, xwv44000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Bool, bag) → new_esEs17(xwv4000, xwv3000)
new_esEs30(xwv400, xwv300, ty_Float) → new_esEs11(xwv400, xwv300)
new_esEs29(xwv400, xwv300, ty_Char) → new_esEs16(xwv400, xwv300)
new_ltEs18(Left(xwv43000), Left(xwv44000), ty_@0, cad) → new_ltEs8(xwv43000, xwv44000)
new_delFromFM25(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, h, ba, bb) → new_mkBalBranch(Left(xwv300), xwv31, xwv33, new_delFromFM0(xwv34, Right(xwv400), h, ba, bb), h, ba, bb)
new_primPlusInt(xwv3020, Neg(xwv3040)) → Neg(new_primPlusNat0(xwv3020, xwv3040))
new_esEs21(xwv4000, xwv3000, ty_Float) → new_esEs11(xwv4000, xwv3000)
new_ltEs6(xwv43002, xwv44002, ty_Int) → new_ltEs14(xwv43002, xwv44002)
new_ltEs19(xwv4300, xwv4400, ty_Integer) → new_ltEs7(xwv4300, xwv4400)
new_compare18(Float(xwv43000, xwv43001), Float(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_primPlusNat0(Succ(xwv33200), Succ(xwv13100)) → Succ(Succ(new_primPlusNat0(xwv33200, xwv13100)))
new_esEs28(xwv43000, xwv44000, ty_Int) → new_esEs12(xwv43000, xwv44000)
new_esEs22(xwv4001, xwv3001, ty_@0) → new_esEs13(xwv4001, xwv3001)
new_ltEs18(Right(xwv43000), Right(xwv44000), cac, ty_Ordering) → new_ltEs11(xwv43000, xwv44000)
new_compare30(Double(xwv43000, xwv43001), Double(xwv44000, xwv44001)) → new_compare9(new_sr0(xwv43000, xwv44000), new_sr0(xwv43001, xwv44001))
new_esEs7(Right(xwv4000), Right(xwv3000), baf, app(ty_[], dae)) → new_esEs8(xwv4000, xwv3000, dae)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_[], cdg)) → new_esEs8(xwv4000, xwv3000, cdg)
new_delFromFM26(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, False, cgc, cgd, cge) → new_delFromFM15(xwv28, xwv29, xwv30, xwv31, xwv32, xwv33, new_esEs15(new_compare25(Right(xwv33), Right(xwv28), new_esEs7(Right(xwv33), Right(xwv28), cgc, cgd), cgc, cgd), LT), cgc, cgd, cge)
new_asAs(True, xwv95) → xwv95
new_esEs26(xwv4000, xwv3000, app(app(app(ty_@3, dbd), dbe), dbf)) → new_esEs5(xwv4000, xwv3000, dbd, dbe, dbf)
new_lt5(xwv43001, xwv44001, app(app(ty_@2, fb), fc)) → new_lt8(xwv43001, xwv44001, fb, fc)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Ordering, bag) → new_esEs15(xwv4000, xwv3000)
new_ltEs13(Just(xwv43000), Just(xwv44000), ty_Double) → new_ltEs16(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(app(ty_Either, ceb), cec)) → new_esEs7(xwv4000, xwv3000, ceb, cec)
new_ltEs21(xwv43001, xwv44001, ty_Float) → new_ltEs15(xwv43001, xwv44001)
new_lt20(xwv43000, xwv44000, app(ty_Ratio, cfh)) → new_lt10(xwv43000, xwv44000, cfh)
new_esEs19(xwv43000, xwv44000, app(ty_[], ec)) → new_esEs8(xwv43000, xwv44000, ec)
new_compare1(:(xwv43000, xwv43001), [], caa) → GT
new_delFromFM03(xwv300, xwv31, xwv32, xwv33, xwv34, xwv400, True, h, ba, bb) → new_glueBal(xwv33, xwv34, h, ba, bb)
new_esEs9(xwv4000, xwv3000, app(app(ty_Either, cd), ce)) → new_esEs7(xwv4000, xwv3000, cd, ce)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_@0, bag) → new_esEs13(xwv4000, xwv3000)
new_esEs7(Left(xwv4000), Left(xwv3000), ty_Char, bag) → new_esEs16(xwv4000, xwv3000)
new_compare27(xwv43000, xwv44000, True, bgg, bgh, bha) → EQ
new_ltEs16(xwv4300, xwv4400) → new_fsEs(new_compare30(xwv4300, xwv4400))
new_mkBalBranch6MkBalBranch5(xwv174, xwv170, xwv171, xwv298, True, bcd, bce, bcf) → new_mkBranch(Zero, xwv170, xwv171, xwv298, xwv174, app(app(ty_Either, bcd), bce), bcf)
new_ltEs21(xwv43001, xwv44001, app(app(ty_Either, dhe), dhf)) → new_ltEs18(xwv43001, xwv44001, dhe, dhf)
new_esEs23(xwv4002, xwv3002, app(app(app(ty_@3, bfc), bfd), bfe)) → new_esEs5(xwv4002, xwv3002, bfc, bfd, bfe)
new_ltEs13(Just(xwv43000), Just(xwv44000), app(app(app(ty_@3, cfb), cfc), cfd)) → new_ltEs5(xwv43000, xwv44000, cfb, cfc, cfd)
new_esEs26(xwv4000, xwv3000, ty_Char) → new_esEs16(xwv4000, xwv3000)
new_compare25(Right(xwv4300), Right(xwv4400), False, bhd, bhe) → new_compare110(xwv4300, xwv4400, new_ltEs20(xwv4300, xwv4400, bhe), bhd, bhe)
new_esEs29(xwv400, xwv300, app(ty_Ratio, bah)) → new_esEs14(xwv400, xwv300, bah)
new_ltEs10(xwv4300, xwv4400, bhh) → new_fsEs(new_compare7(xwv4300, xwv4400, bhh))
new_esEs30(xwv400, xwv300, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs5(xwv400, xwv300, bbb, bbc, bbd)
new_lt5(xwv43001, xwv44001, ty_Char) → new_lt18(xwv43001, xwv44001)
new_esEs20(xwv43001, xwv44001, ty_Char) → new_esEs16(xwv43001, xwv44001)
new_esEs15(GT, GT) → True
new_esEs28(xwv43000, xwv44000, ty_Integer) → new_esEs10(xwv43000, xwv44000)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_@0) → new_esEs13(xwv4000, xwv3000)
new_esEs6(Just(xwv4000), Just(xwv3000), app(ty_Ratio, ced)) → new_esEs14(xwv4000, xwv3000, ced)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(xwv4300, xwv4400) → new_fsEs(new_compare18(xwv4300, xwv4400))
new_esEs20(xwv43001, xwv44001, ty_@0) → new_esEs13(xwv43001, xwv44001)
new_primCompAux0(xwv195, EQ) → xwv195
new_esEs19(xwv43000, xwv44000, app(app(ty_@2, dh), ea)) → new_esEs4(xwv43000, xwv44000, dh, ea)
new_esEs8(:(xwv4000, xwv4001), [], be) → False
new_esEs8([], :(xwv3000, xwv3001), be) → False
new_ltEs11(EQ, GT) → True
new_compare28(xwv43000, xwv44000, False) → new_compare111(xwv43000, xwv44000, new_ltEs9(xwv43000, xwv44000))
new_ltEs14(xwv4300, xwv4400) → new_fsEs(new_compare9(xwv4300, xwv4400))
new_ltEs21(xwv43001, xwv44001, ty_Char) → new_ltEs17(xwv43001, xwv44001)
new_primCmpInt(Pos(Succ(xwv4300)), Pos(xwv440)) → new_primCmpNat2(xwv4300, xwv440)
new_ltEs20(xwv4300, xwv4400, ty_Char) → new_ltEs17(xwv4300, xwv4400)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs30(xwv400, xwv300, app(app(ty_@2, bbf), bbg)) → new_esEs4(xwv400, xwv300, bbf, bbg)
new_primCmpInt(Neg(Succ(xwv4300)), Pos(xwv440)) → LT
new_esEs20(xwv43001, xwv44001, ty_Double) → new_esEs18(xwv43001, xwv44001)
new_not(True) → False
new_primMinusNat0(Succ(xwv30200), Succ(xwv30300)) → new_primMinusNat0(xwv30200, xwv30300)
new_esEs6(Just(xwv4000), Just(xwv3000), ty_Integer) → new_esEs10(xwv4000, xwv3000)
new_glueBal(Branch(xwv160, xwv161, xwv162, xwv163, xwv164), EmptyFM, bcd, bce, bcf) → Branch(xwv160, xwv161, xwv162, xwv163, xwv164)
new_compare1([], [], caa) → EQ

The set Q consists of the following terms:

new_esEs28(x0, x1, ty_Double)
new_ltEs21(x0, x1, app(ty_[], x2))
new_ltEs6(x0, x1, ty_Integer)
new_esEs13(@0, @0)
new_lt5(x0, x1, ty_Int)
new_ltEs18(Left(x0), Left(x1), ty_@0, x2)
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_ltEs13(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs8([], :(x0, x1), x2)
new_esEs25(x0, x1, ty_Integer)
new_primMinusNat0(Zero, Zero)
new_primCmpNat1(Succ(x0), x1)
new_esEs11(Float(x0, x1), Float(x2, x3))
new_delFromFM13(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, ty_Char)
new_ltEs18(Left(x0), Left(x1), ty_Float, x2)
new_compare11(x0, x1, False, x2, x3)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Zero, Succ(x0))
new_ltEs11(EQ, EQ)
new_esEs29(x0, x1, ty_Ordering)
new_lt12(x0, x1, x2)
new_sizeFM0(EmptyFM, x0, x1, x2)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs18(Double(x0, x1), Double(x2, x3))
new_lt4(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_[], x2))
new_glueBal(EmptyFM, x0, x1, x2, x3)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Int)
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13, x14)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_primPlusInt0(Pos(x0), x1, x2, x3, x4, x5)
new_deleteMin0(x0, x1, x2, EmptyFM, x3, x4, x5, x6)
new_ltEs20(x0, x1, ty_Double)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Integer)
new_delFromFM15(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, True, x4, x5, x6)
new_esEs29(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(Right(x0), Right(x1), x2, ty_Float)
new_lt5(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_primPlusInt0(Neg(x0), x1, x2, x3, x4, x5)
new_ltEs16(x0, x1)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs26(x0, x1, ty_Int)
new_primPlusInt2(Neg(x0), x1, x2, x3, x4, x5, x6, x7)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Double)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, ty_Double)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare32(x0, x1, app(ty_[], x2))
new_ltEs13(Just(x0), Just(x1), ty_Int)
new_glueBal2Mid_elt200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, EmptyFM, x13, x14, x15)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, ty_@0)
new_esEs10(Integer(x0), Integer(x1))
new_lt4(x0, x1, ty_Ordering)
new_delFromFM0(Branch(Right(x0), x1, x2, x3, x4), Right(x5), x6, x7, x8)
new_esEs6(Just(x0), Just(x1), ty_@0)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt8(x0, x1, x2, x3)
new_delFromFM26(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs21(x0, x1, ty_Char)
new_compare27(x0, x1, True, x2, x3, x4)
new_glueBal2Mid_elt100(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, Branch(x14, x15, x16, x17, x18), x19, x20)
new_esEs30(x0, x1, ty_Char)
new_esEs17(False, False)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs19(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_delFromFM0(Branch(Left(x0), x1, x2, x3, x4), Right(x5), x6, x7, x8)
new_mkBalBranch6MkBalBranch3(x0, x1, x2, Branch(x3, x4, x5, x6, x7), True, x8, x9, x10)
new_compare32(x0, x1, ty_Double)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt20(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Zero)
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs9(x0, x1, ty_Integer)
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_ltEs6(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare32(x0, x1, ty_@0)
new_compare32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare16(x0, x1, x2, x3, x4)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCmpNat0(Succ(x0), Zero)
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs9(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Succ(x0), x1)
new_esEs22(x0, x1, ty_Integer)
new_primPlusNat1(Zero, x0)
new_fsEs(x0)
new_compare30(Double(x0, x1), Double(x2, x3))
new_delFromFM02(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_primEqNat0(Zero, Zero)
new_ltEs18(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs19(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Bool)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs29(x0, x1, ty_Int)
new_ltEs13(Nothing, Just(x0), x1)
new_compare6(x0, x1)
new_ltEs21(x0, x1, ty_Integer)
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1)
new_delFromFM01(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Char)
new_delFromFM03(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(ty_[], x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_compare32(x0, x1, ty_Bool)
new_delFromFM23(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs9(False, False)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_ltEs18(Right(x0), Right(x1), x2, ty_Ordering)
new_glueBal2Mid_key100(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, EmptyFM, x14, x15)
new_esEs27(x0, x1, ty_Int)
new_compare10(x0, x1, False, x2, x3, x4)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_delFromFM0(Branch(Right(x0), x1, x2, x3, x4), Left(x5), x6, x7, x8)
new_primMulNat0(Zero, Zero)
new_compare17(x0, x1, False, x2, x3)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs18(Right(x0), Right(x1), x2, ty_Double)
new_mkBalBranch6MkBalBranch4(x0, x1, x2, x3, False, x4, x5, x6)
new_sr(Integer(x0), Integer(x1))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_compare28(x0, x1, False)
new_lt20(x0, x1, ty_Double)
new_ltEs15(x0, x1)
new_lt4(x0, x1, ty_Double)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_lt4(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Char)
new_delFromFM00(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs28(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Integer)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_primCompAux0(x0, GT)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_primCompAux0(x0, LT)
new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5, x6)
new_lt5(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_glueBal(Branch(x0, x1, x2, x3, x4), Branch(x5, x6, x7, x8, x9), x10, x11, x12)
new_delFromFM26(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_pePe(True, x0)
new_sIZE_RATIO
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_@0)
new_primMinusNat0(Zero, Succ(x0))
new_compare25(x0, x1, True, x2, x3)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_delFromFM24(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_compare24(x0, x1, True, x2, x3)
new_compare110(x0, x1, False, x2, x3)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs7(Left(x0), Right(x1), x2, x3)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_compare19(x0, x1)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Double)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_sr0(x0, x1)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare13(x0, x1, x2)
new_compare24(x0, x1, False, x2, x3)
new_compare12(x0, x1, x2, x3)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_compare29(Char(x0), Char(x1))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_primMinusNat0(Succ(x0), Succ(x1))
new_ltEs20(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Double)
new_compare14(x0, x1, True, x2)
new_delFromFM15(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt17(x0, x1)
new_compare7(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs18(Left(x0), Left(x1), ty_Integer, x2)
new_primMulNat0(Zero, Succ(x0))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Double)
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs19(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt5(x0, x1, ty_Double)
new_lt13(x0, x1, x2, x3, x4)
new_compare26(x0, x1, False, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_mkBalBranch6MkBalBranch01(x0, x1, x2, EmptyFM, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs26(x0, x1, ty_Integer)
new_deleteMax0(x0, x1, x2, x3, EmptyFM, x4, x5, x6)
new_primCmpNat2(x0, Succ(x1))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primPlusNat0(Zero, Zero)
new_ltEs21(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), app(ty_[], x2))
new_esEs23(x0, x1, ty_Int)
new_ltEs18(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_compare32(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare15(x0, x1, x2, x3)
new_esEs9(x0, x1, ty_@0)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_delFromFM14(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs23(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_lt6(x0, x1)
new_delFromFM13(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs15(LT, LT)
new_deleteMax0(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9, x10, x11)
new_ltEs13(Just(x0), Just(x1), ty_Float)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt5(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_[], x2))
new_delFromFM16(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs28(x0, x1, ty_Float)
new_ltEs9(False, True)
new_delFromFM02(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs9(True, False)
new_ltEs18(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, ty_Integer)
new_glueBal2Mid_elt200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, Branch(x13, x14, x15, x16, x17), x18, x19, x20)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_compare17(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs6(Just(x0), Nothing, x1)
new_compare31(@0, @0)
new_esEs15(GT, EQ)
new_esEs15(EQ, GT)
new_esEs27(x0, x1, ty_Char)
new_ltEs9(True, True)
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_asAs(False, x0)
new_pePe(False, x0)
new_delFromFM0(EmptyFM, x0, x1, x2, x3)
new_gt(x0, x1)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Just(x0), Nothing, x1)
new_lt4(x0, x1, app(ty_Ratio, x2))
new_mkBalBranch(x0, x1, x2, x3, x4, x5, x6)
new_esEs27(x0, x1, ty_Bool)
new_primPlusInt(x0, Neg(x1))
new_compare18(Float(x0, x1), Float(x2, x3))
new_esEs30(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_primMinusNat0(Succ(x0), Zero)
new_delFromFM14(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_compare1([], [], x0)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_mkBalBranch6MkBalBranch3(x0, x1, x2, EmptyFM, True, x3, x4, x5)
new_ltEs19(x0, x1, ty_Bool)
new_compare110(x0, x1, True, x2, x3)
new_esEs23(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs18(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt5(x0, x1, app(ty_Ratio, x2))
new_compare9(x0, x1)
new_esEs8(:(x0, x1), :(x2, x3), x4)
new_esEs20(x0, x1, ty_Float)
new_lt9(x0, x1)
new_glueBal(Branch(x0, x1, x2, x3, x4), EmptyFM, x5, x6, x7)
new_mkBranch(x0, x1, x2, x3, x4, x5, x6)
new_esEs9(x0, x1, ty_Bool)
new_ltEs18(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt5(x0, x1, ty_Float)
new_primCmpNat2(x0, Zero)
new_esEs8(:(x0, x1), [], x2)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Int)
new_compare32(x0, x1, ty_Integer)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare32(x0, x1, ty_Ordering)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), ty_Double, x2)
new_esEs26(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt4(x0, x1, ty_Integer)
new_lt4(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Char)
new_ltEs18(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_lt4(x0, x1, ty_@0)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_glueBal2GlueBal1(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, False, x10, x11, x12)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Float)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5, x6)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Ordering)
new_lt10(x0, x1, x2)
new_compare32(x0, x1, app(app(ty_@2, x2), x3))
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs7(x0, x1)
new_compare32(x0, x1, app(ty_Maybe, x2))
new_ltEs18(Left(x0), Left(x1), ty_Ordering, x2)
new_mkBalBranch6MkBalBranch4(Branch(x0, x1, x2, x3, x4), x5, x6, x7, True, x8, x9, x10)
new_ltEs18(Right(x0), Right(x1), x2, ty_Integer)
new_esEs28(x0, x1, ty_Int)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), Succ(x1))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusInt1(x0, Neg(x1))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, ty_Float)
new_primCompAux0(x0, EQ)
new_compare23(x0, x1, True)
new_sizeFM(EmptyFM, x0, x1)
new_ltEs13(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs19(x0, x1, ty_Float)
new_ltEs13(Just(x0), Just(x1), ty_Double)
new_compare112(x0, x1, True)
new_esEs16(Char(x0), Char(x1))
new_ltEs11(LT, LT)
new_ltEs18(Left(x0), Left(x1), ty_Bool, x2)
new_esEs21(x0, x1, ty_Int)
new_ltEs13(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_delFromFM00(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_mkBalBranch6MkBalBranch01(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9, x10, x11, False, x12, x13, x14)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs11(EQ, LT)
new_ltEs11(LT, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_compare26(x0, x1, True, x2)
new_esEs19(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_lt18(x0, x1)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_mkBalBranch6MkBalBranch3(x0, x1, x2, x3, False, x4, x5, x6)
new_esEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_Double)
new_glueBal2GlueBal1(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, True, x10, x11, x12)
new_ltEs12(x0, x1, x2)
new_ltEs13(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs23(x0, x1, ty_Ordering)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_delFromFM25(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs8([], [], x0)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_primEqNat0(Zero, Succ(x0))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(Left(x0), Left(x1), ty_Char, x2)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs15(GT, GT)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_primPlusInt1(x0, Pos(x1))
new_glueBal2Mid_key200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, EmptyFM, x13, x14, x15)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_delFromFM23(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_[], x2))
new_asAs(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt7(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Bool)
new_primPlusInt2(Pos(x0), x1, x2, x3, x4, x5, x6, x7)
new_lt5(x0, x1, ty_Ordering)
new_compare112(x0, x1, False)
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_esEs6(Nothing, Just(x0), x1)
new_esEs15(GT, LT)
new_esEs15(LT, GT)
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_ltEs18(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs22(x0, x1, ty_Bool)
new_glueBal2Mid_elt100(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, EmptyFM, x14, x15)
new_compare23(x0, x1, False)
new_delFromFM0(Branch(Left(x0), x1, x2, x3, x4), Left(x5), x6, x7, x8)
new_esEs23(x0, x1, ty_@0)
new_lt11(x0, x1)
new_compare32(x0, x1, ty_Float)
new_ltEs18(Left(x0), Left(x1), ty_Int, x2)
new_compare1(:(x0, x1), [], x2)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_primCompAux1(x0, x1, x2, x3)
new_compare8(Integer(x0), Integer(x1))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs30(x0, x1, ty_Double)
new_ltEs18(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Zero)
new_compare10(x0, x1, True, x2, x3, x4)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_ltEs13(Nothing, Nothing, x0)
new_esEs28(x0, x1, ty_@0)
new_lt14(x0, x1, x2)
new_compare32(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Integer)
new_not(True)
new_esEs24(x0, x1, ty_Int)
new_mkBalBranch6MkBalBranch4(EmptyFM, x0, x1, x2, True, x3, x4, x5)
new_esEs6(Just(x0), Just(x1), ty_Int)
new_esEs15(EQ, EQ)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs6(Nothing, Nothing, x0)
new_lt4(x0, x1, ty_Bool)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_delFromFM24(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_ltEs8(x0, x1)
new_not(False)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_compare14(x0, x1, False, x2)
new_esEs20(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Ordering)
new_sizeFM0(Branch(x0, x1, x2, x3, x4), x5, x6, x7)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_delFromFM25(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs12(x0, x1)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, ty_Integer)
new_deleteMin0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9, x10, x11)
new_delFromFM01(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs21(x0, x1, ty_Integer)
new_primMulNat0(Succ(x0), Succ(x1))
new_glueBal2Mid_key200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, Branch(x13, x14, x15, x16, x17), x18, x19, x20)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs13(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs18(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare28(x0, x1, True)
new_compare1([], :(x0, x1), x2)
new_glueBal2Mid_key100(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, Branch(x14, x15, x16, x17, x18), x19, x20)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_compare32(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1)
new_delFromFM03(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs21(x0, x1, ty_Bool)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Just(x0), Just(x1), ty_Char)
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(Right(x0), Left(x1), x2, x3)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(Left(x0), Right(x1), x2, x3)
new_compare32(x0, x1, ty_Char)
new_ltEs13(Just(x0), Just(x1), ty_Bool)
new_esEs19(x0, x1, ty_@0)
new_primPlusInt(x0, Pos(x1))
new_ltEs18(Right(x0), Right(x1), x2, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Double)
new_esEs28(x0, x1, ty_Char)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs17(True, False)
new_esEs17(False, True)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Integer)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, False, x4, x5, x6)
new_ltEs18(Right(x0), Right(x1), x2, ty_Int)
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Double)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(EQ, LT)
new_esEs15(LT, EQ)
new_ltEs6(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_delFromFM16(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs17(True, True)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Int)
new_compare111(x0, x1, False)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs18(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primPlusNat0(Succ(x0), Zero)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, True, x2, x3)
new_lt20(x0, x1, ty_Float)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs18(Right(x0), Right(x1), x2, ty_Char)
new_ltEs18(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs17(x0, x1)
new_esEs22(x0, x1, ty_@0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs10(x0, x1, x2)
new_ltEs6(x0, x1, ty_@0)
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8, x9)
new_esEs9(x0, x1, ty_Double)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs11(GT, GT)

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: