YES 16.999 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
  ((addListToFM :: (Ord b, Ord a) => FiniteMap (Either b a) c  ->  [(Either b a,c)]  ->  FiniteMap (Either b a) c) :: (Ord a, Ord b) => FiniteMap (Either b a) c  ->  [(Either b a,c)]  ->  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

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs = addListToFM_C (\old new ->new) fm key_elt_pairs

  addListToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs = 
foldl add fm key_elt_pairs where 
add fmap (key,elt) = addToFM_C combiner fmap key elt

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

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

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

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

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

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


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

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

The following Lambda expression
\oldnew→new

is transformed to
addListToFM0 old new = new



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR

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

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs = addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new = new

  addListToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM_C combiner fm key_elt_pairs = 
foldl add fm key_elt_pairs where 
add fmap (key,elt) = addToFM_C combiner fmap key elt

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

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

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

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

  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

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


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

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs = addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new = new

  addListToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM_C combiner fm key_elt_pairs = 
foldl add fm key_elt_pairs where 
add fmap (key,elt) = addToFM_C combiner fmap key elt

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

  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 :: (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

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

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

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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

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


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

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

  addListToFM :: Ord a => FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM fm key_elt_pairs = addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new = new

  addListToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs = 
foldl add fm key_elt_pairs where 
add fmap (key,elt) = addToFM_C combiner fmap key elt

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

  emptyFM :: FiniteMap a b
emptyFM = EmptyFM

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

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

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

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

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

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

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


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

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs = addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new = new

  addListToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs = 
foldl add fm key_elt_pairs where 
add fmap (key,elt) = addToFM_C combiner fmap key elt

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

  emptyFM :: FiniteMap a b
emptyFM = EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM) = (key,elt)
findMax (Branch key elt vux vuy 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

  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 zv (Branch key_rl elt_rl zw 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 yw fm_ll (Branch key_lr elt_lr yx 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 zx zy zz 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 yy yz zu 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 vuu 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 yv 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 a b  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch xx xy size xz yu) = size

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


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

mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise

mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True = double_R fm_L fm_R

mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

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

mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise

mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True = double_L fm_L fm_R

mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz 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 zv (Branch key_rl elt_rl zw 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 yw fm_ll (Branch key_lr elt_lr yx 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 zx zy zz 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 yy yz zu 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 vuu 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 yv 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 zv (Branch key_rl elt_rl zw 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 yw fm_ll (Branch key_lr elt_lr yx 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 zx zy zz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R yy yz zu 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 vuu 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 yv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l  = sizeFM fm_L
size_r  = sizeFM fm_R

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

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

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

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

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

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

addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 wuu wuv wuw wux = addToFM_C3 wuu wuv wuw wux

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)

compare0 x y True = GT

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

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 wuy = gcd'2 x wuy
gcd' x y = gcd'0 x y

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x wuy = x
gcd'1 wuz wvu wvv = gcd'0 wvu wvv

gcd'2 x wuy = gcd'1 (wuy == 0) x wuy
gcd'2 wvw wvx = gcd'0 wvw wvx

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 wvy wvz = gcd3 wvy wvz
gcd x y = gcd0 x y

gcd0 x y = 
gcd' (abs x) (abs y)
where 
gcd' x wuy = gcd'2 x wuy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x wuy = x
gcd'1 wuz wvu wvv = gcd'0 wvu wvv
gcd'2 x wuy = gcd'1 (wuy == 0) x wuy
gcd'2 wvw wvx = gcd'0 wvw wvx

gcd1 True wvy wvz = error []
gcd1 wwu wwv www = gcd0 wwv www

gcd2 True wvy wvz = gcd1 (wvz == 0) wvy wvz
gcd2 wwx wwy wwz = gcd0 wwy wwz

gcd3 wvy wvz = gcd2 (wvy == 0) wvy wvz
gcd3 wxu wxv = gcd0 wxu wxv

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

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs = addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new = new

  addListToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM_C combiner fm key_elt_pairs = 
foldl add fm key_elt_pairs where 
add fmap (key,elt) = addToFM_C combiner fmap key elt

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

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

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

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

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

  
addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 wuu wuv wuw wux = addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap b a
emptyFM = EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM) = (key,elt)
findMax (Branch key elt vux vuy fm_r) = findMax fm_r

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

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

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

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

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

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


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
mkBranchUnbox wxw wxx wxy x = x

mkBranchLeft_size wxw wxx wxy = sizeFM wxw

mkBranchRight_size wxw wxx wxy = sizeFM wxx

mkBranchLeft_ok wxw wxx wxy = mkBranchLeft_ok0 wxw wxx wxy wxw wxy wxw

mkBranchRight_ok wxw wxx wxy = mkBranchRight_ok0 wxw wxx wxy wxx wxy wxx

mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM = True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

mkBranchBalance_ok wxw wxx wxy = True

mkBranchRight_ok0 wxw wxx wxy fm_r key EmptyFM = True
mkBranchRight_ok0 wxw wxx wxy 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 wxz wyu wyv wyw = Branch wxz wyu (mkBranchUnbox wyv wyw wxz (1 + mkBranchLeft_size wyv wyw wxz + mkBranchRight_size wyv wyw wxz)) wyv wyw

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 zv (Branch key_rl elt_rl zw 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 yw fm_ll (Branch key_lr elt_lr yx 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 zx zy zz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R yy yz zu 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 vuu 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 yv 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
mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True = mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_l wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_r wyx wyy wyz wzu)

mkBalBranch6Size_r wyx wyy wyz wzu = sizeFM wyx

mkBalBranch6Single_L wyx wyy wyz wzu fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 wyy wyz fm_l fm_rl) fm_rr

mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 wyy wyz fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

mkBalBranch6Double_R wyx wyy wyz wzu (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 wyy wyz fm_lrr fm_r)

mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True = mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr otherwise

mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R

mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_r wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_l wyx wyy wyz wzu)

mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

mkBalBranch6Size_l wyx wyy wyz wzu = sizeFM wzu

mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True = mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr otherwise

mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R otherwise

mkBalBranch6Single_R wyx wyy wyz wzu (Branch key_l elt_l yv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 wyy wyz fm_lr fm_r)

mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True = mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

The bindings of the following Let/Where expression
foldl add fm key_elt_pairs
where 
add fmap (key,elt) = addToFM_C combiner fmap key elt

are unpacked to the following functions on top level
addListToFM_CAdd wzv fmap (key,elt) = addToFM_C wzv fmap key elt

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 wzw = fst (findMax wzw)

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 wzx = fst (findMin wzx)

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
reduce2D wzy wzz = gcd wzy wzz

reduce2Reduce1 wzy wzz x y True = error []
reduce2Reduce1 wzy wzz x y False = reduce2Reduce0 wzy wzz x y otherwise

reduce2Reduce0 wzy wzz x y True = x `quot` reduce2D wzy wzz :% (y `quot` reduce2D wzy wzz)

The bindings of the following Let/Where expression
gcd' (abs x) (abs y)
where 
gcd' x wuy = gcd'2 x wuy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x wuy = x
gcd'1 wuz wvu wvv = gcd'0 wvu wvv
gcd'2 x wuy = gcd'1 (wuy == 0) x wuy
gcd'2 wvw wvx = gcd'0 wvw wvx

are unpacked to the following functions on top level
gcd0Gcd'2 x wuy = gcd0Gcd'1 (wuy == 0) x wuy
gcd0Gcd'2 wvw wvx = gcd0Gcd'0 wvw wvx

gcd0Gcd'1 True x wuy = x
gcd0Gcd'1 wuz wvu wvv = gcd0Gcd'0 wvu wvv

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

gcd0Gcd' x wuy = gcd0Gcd'2 x wuy
gcd0Gcd' x y = gcd0Gcd'0 x y



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

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

  addListToFM :: Ord a => FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM fm key_elt_pairs = addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new = new

  addListToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs = foldl (addListToFM_CAdd combiner) fm key_elt_pairs

  
addListToFM_CAdd wzv fmap (key,elt) = addToFM_C wzv fmap key elt

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

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

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

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

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

  
addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 wuu wuv wuw wux = addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap a b
emptyFM = EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt vuv vuw EmptyFM) = (key,elt)
findMax (Branch key elt vux vuy 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

  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 < 2)

  
mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 wyy wyz fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R wyx wyy wyz wzu (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 wyy wyz fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True = mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True = mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True = mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True = mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

  
mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R

  
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R otherwise

  
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_l wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_r wyx wyy wyz wzu)

  
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_r wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_l wyx wyy wyz wzu)

  
mkBalBranch6Single_L wyx wyy wyz wzu fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 wyy wyz fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R wyx wyy wyz wzu (Branch key_l elt_l yv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 wyy wyz fm_lr fm_r)

  
mkBalBranch6Size_l wyx wyy wyz wzu = sizeFM wzu

  
mkBalBranch6Size_r wyx wyy wyz wzu = sizeFM wyx

  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_l fm_r

  
mkBranchBalance_ok wxw wxx wxy = True

  
mkBranchLeft_ok wxw wxx wxy = mkBranchLeft_ok0 wxw wxx wxy wxw wxy wxw

  
mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM = True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key wzw = fst (findMax wzw)

  
mkBranchLeft_size wxw wxx wxy = sizeFM wxw

  
mkBranchResult wxz wyu wyv wyw = Branch wxz wyu (mkBranchUnbox wyv wyw wxz (1 + mkBranchLeft_size wyv wyw wxz + mkBranchRight_size wyv wyw wxz)) wyv wyw

  
mkBranchRight_ok wxw wxx wxy = mkBranchRight_ok0 wxw wxx wxy wxx wxy wxx

  
mkBranchRight_ok0 wxw wxx wxy fm_r key EmptyFM = True
mkBranchRight_ok0 wxw wxx wxy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key wzx = fst (findMin wzx)

  
mkBranchRight_size wxw wxx wxy = sizeFM wxx

  mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  (FiniteMap a b) ( ->  a (Int  ->  Int)))
mkBranchUnbox wxw wxx wxy x = x

  sIZE_RATIO :: Int
sIZE_RATIO = 5

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

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


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

  addListToFM :: Ord a => FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM fm key_elt_pairs = addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new = new

  addListToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM_C combiner fm key_elt_pairs = foldl (addListToFM_CAdd combiner) fm key_elt_pairs

  
addListToFM_CAdd wzv fmap (key,elt) = addToFM_C wzv fmap key elt

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

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

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

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

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

  
addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 wuu wuv wuw wux = addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap a b
emptyFM = EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM) = (key,elt)
findMax (Branch key elt vux vuy fm_r) = findMax fm_r

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

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

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

  foldFM :: (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

  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 wyx wyy wyz wzu fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw 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))))))) wyy wyz fm_l fm_rll) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R wyx wyy wyz wzu (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx 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))))))))))))) wyy wyz fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True = mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True = mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True = mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True = mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < Pos (Succ (Succ Zero)) * sizeFM fm_ll)

  
mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R True = mkBranch (Pos (Succ (Succ Zero))) key elt fm_L fm_R

  
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R otherwise

  
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_l wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_r wyx wyy wyz wzu)

  
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R True = mkBranch (Pos (Succ Zero)) key elt fm_L fm_R
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_r wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_l wyx wyy wyz wzu)

  
mkBalBranch6Single_L wyx wyy wyz wzu fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch (Pos (Succ (Succ (Succ Zero)))) key_r elt_r (mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) wyy wyz fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R wyx wyy wyz wzu (Branch key_l elt_l yv 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)))))))))) wyy wyz fm_lr fm_r)

  
mkBalBranch6Size_l wyx wyy wyz wzu = sizeFM wzu

  
mkBalBranch6Size_r wyx wyy wyz wzu = sizeFM wyx

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

  
mkBranchBalance_ok wxw wxx wxy = True

  
mkBranchLeft_ok wxw wxx wxy = mkBranchLeft_ok0 wxw wxx wxy wxw wxy wxw

  
mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM = True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key wzw = fst (findMax wzw)

  
mkBranchLeft_size wxw wxx wxy = sizeFM wxw

  
mkBranchResult wxz wyu wyv wyw = Branch wxz wyu (mkBranchUnbox wyv wyw wxz (Pos (Succ Zero) + mkBranchLeft_size wyv wyw wxz + mkBranchRight_size wyv wyw wxz)) wyv wyw

  
mkBranchRight_ok wxw wxx wxy = mkBranchRight_ok0 wxw wxx wxy wxx wxy wxx

  
mkBranchRight_ok0 wxw wxx wxy fm_r key EmptyFM = True
mkBranchRight_ok0 wxw wxx wxy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key wzx = fst (findMin wzx)

  
mkBranchRight_size wxw wxx wxy = sizeFM wxx

  mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  (FiniteMap a b) ( ->  a (Int  ->  Int)))
mkBranchUnbox wxw wxx wxy 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

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude


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

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

new_primEqNat(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat(xuu400000, xuu30000)

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

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

new_primCmpNat(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat(xuu4700, xuu4800)

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

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

new_primMinusNat(Succ(xuu50200), Succ(xuu11900)) → new_primMinusNat(xuu50200, xuu11900)

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

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

new_primPlusNat(Succ(xuu50200), Succ(xuu11900)) → new_primPlusNat(xuu50200, xuu11900)

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

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

new_primMulNat(Succ(xuu4000100), Succ(xuu300100)) → new_primMulNat(xuu4000100, Succ(xuu300100))

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

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

new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, app(app(ty_@2, ec), ed), dg) → new_esEs1(xuu40001, xuu3001, ec, ed)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), app(app(app(ty_@3, hf), hg), hh), he) → new_esEs0(xuu40000, xuu3000, hf, hg, hh)
new_esEs3(Right(xuu40000), Right(xuu3000), bda, app(ty_[], bdb)) → new_esEs(xuu40000, xuu3000, bdb)
new_esEs2(Just(xuu40000), Just(xuu3000), app(ty_[], baf)) → new_esEs(xuu40000, xuu3000, baf)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, cc, app(app(ty_Either, dd), de)) → new_esEs3(xuu40002, xuu3002, dd, de)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), app(ty_Maybe, fg), cc, dg) → new_esEs2(xuu40000, xuu3000, fg)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, cc, app(ty_Maybe, dc)) → new_esEs2(xuu40002, xuu3002, dc)
new_esEs3(Right(xuu40000), Right(xuu3000), bda, app(app(ty_Either, bea), beb)) → new_esEs3(xuu40000, xuu3000, bea, beb)
new_esEs3(Left(xuu40000), Left(xuu3000), app(ty_[], bbg), bbh) → new_esEs(xuu40000, xuu3000, bbg)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, cc, app(ty_[], cd)) → new_esEs(xuu40002, xuu3002, cd)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, app(app(app(ty_@3, dh), ea), eb), dg) → new_esEs0(xuu40001, xuu3001, dh, ea, eb)
new_esEs2(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bbd)) → new_esEs2(xuu40000, xuu3000, bbd)
new_esEs3(Right(xuu40000), Right(xuu3000), bda, app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs0(xuu40000, xuu3000, bdc, bdd, bde)
new_esEs3(Left(xuu40000), Left(xuu3000), app(app(ty_Either, bcg), bch), bbh) → new_esEs3(xuu40000, xuu3000, bcg, bch)
new_esEs2(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bbb), bbc)) → new_esEs1(xuu40000, xuu3000, bbb, bbc)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), gb, app(ty_[], gc)) → new_esEs(xuu40001, xuu3001, gc)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), app(ty_Maybe, bac), he) → new_esEs2(xuu40000, xuu3000, bac)
new_esEs(:(xuu40000, xuu40001), :(xuu3000, xuu3001), app(ty_Maybe, bg)) → new_esEs2(xuu40000, xuu3000, bg)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), app(ty_[], hd), he) → new_esEs(xuu40000, xuu3000, hd)
new_esEs3(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, bca), bcb), bcc), bbh) → new_esEs0(xuu40000, xuu3000, bca, bcb, bcc)
new_esEs2(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bag), bah), bba)) → new_esEs0(xuu40000, xuu3000, bag, bah, bba)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), gb, app(app(ty_Either, hb), hc)) → new_esEs3(xuu40001, xuu3001, hb, hc)
new_esEs(:(xuu40000, xuu40001), :(xuu3000, xuu3001), app(app(ty_@2, be), bf)) → new_esEs1(xuu40000, xuu3000, be, bf)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), gb, app(app(ty_@2, gg), gh)) → new_esEs1(xuu40001, xuu3001, gg, gh)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, cc, app(app(ty_@2, da), db)) → new_esEs1(xuu40002, xuu3002, da, db)
new_esEs3(Left(xuu40000), Left(xuu3000), app(ty_Maybe, bcf), bbh) → new_esEs2(xuu40000, xuu3000, bcf)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), app(ty_[], eh), cc, dg) → new_esEs(xuu40000, xuu3000, eh)
new_esEs(:(xuu40000, xuu40001), :(xuu3000, xuu3001), h) → new_esEs(xuu40001, xuu3001, h)
new_esEs(:(xuu40000, xuu40001), :(xuu3000, xuu3001), app(app(ty_Either, bh), ca)) → new_esEs3(xuu40000, xuu3000, bh, ca)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, cc, app(app(app(ty_@3, ce), cf), cg)) → new_esEs0(xuu40002, xuu3002, ce, cf, cg)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, app(ty_[], df), dg) → new_esEs(xuu40001, xuu3001, df)
new_esEs3(Left(xuu40000), Left(xuu3000), app(app(ty_@2, bcd), bce), bbh) → new_esEs1(xuu40000, xuu3000, bcd, bce)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), app(app(ty_Either, fh), ga), cc, dg) → new_esEs3(xuu40000, xuu3000, fh, ga)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), app(app(ty_@2, baa), bab), he) → new_esEs1(xuu40000, xuu3000, baa, bab)
new_esEs(:(xuu40000, xuu40001), :(xuu3000, xuu3001), app(app(app(ty_@3, bb), bc), bd)) → new_esEs0(xuu40000, xuu3000, bb, bc, bd)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), app(app(ty_@2, fd), ff), cc, dg) → new_esEs1(xuu40000, xuu3000, fd, ff)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), app(app(ty_Either, bad), bae), he) → new_esEs3(xuu40000, xuu3000, bad, bae)
new_esEs3(Right(xuu40000), Right(xuu3000), bda, app(ty_Maybe, bdh)) → new_esEs2(xuu40000, xuu3000, bdh)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), gb, app(ty_Maybe, ha)) → new_esEs2(xuu40001, xuu3001, ha)
new_esEs3(Right(xuu40000), Right(xuu3000), bda, app(app(ty_@2, bdf), bdg)) → new_esEs1(xuu40000, xuu3000, bdf, bdg)
new_esEs2(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bbe), bbf)) → new_esEs3(xuu40000, xuu3000, bbe, bbf)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, app(ty_Maybe, ee), dg) → new_esEs2(xuu40001, xuu3001, ee)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cb, app(app(ty_Either, ef), eg), dg) → new_esEs3(xuu40001, xuu3001, ef, eg)
new_esEs(:(xuu40000, xuu40001), :(xuu3000, xuu3001), app(ty_[], ba)) → new_esEs(xuu40000, xuu3000, ba)
new_esEs1(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), gb, app(app(app(ty_@3, gd), ge), gf)) → new_esEs0(xuu40001, xuu3001, gd, ge, gf)
new_esEs0(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), app(app(app(ty_@3, fa), fb), fc), cc, dg) → new_esEs0(xuu40000, xuu3000, fa, fb, fc)

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

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

new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), app(app(ty_@2, baa), bab), hd) → new_lt2(xuu47000, xuu48000, baa, bab)
new_ltEs3(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bch), bda), bca) → new_ltEs3(xuu47000, xuu48000, bch, bda)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, app(app(app(ty_@3, fb), fc), fd), dg) → new_lt1(xuu47001, xuu48001, fb, fc, fd)
new_compare2(xuu47000, xuu48000, dh, ea, eb) → new_compare21(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, dh, ea, eb), dh, ea, eb)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), bae, app(ty_Maybe, bag)) → new_ltEs(xuu47001, xuu48001, bag)
new_compare23(Left(Just(xuu47000)), Left(Just(xuu48000)), False, app(ty_Maybe, app(app(app(ty_@3, ce), cf), cg)), bbg) → new_ltEs1(xuu47000, xuu48000, ce, cf, cg)
new_ltEs(Just(xuu47000), Just(xuu48000), app(ty_[], cc)) → new_ltEs0(xuu47000, xuu48000, cc)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, df, app(app(ty_@2, gg), gh)) → new_ltEs2(xuu47002, xuu48002, gg, gh)
new_ltEs3(Left(xuu47000), Left(xuu48000), app(ty_Maybe, bcb), bca) → new_ltEs(xuu47000, xuu48000, bcb)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, app(ty_Maybe, fa), dg) → new_lt0(xuu47001, xuu48001, fa)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), app(ty_[], de), df, dg) → new_compare(xuu47000, xuu48000, de)
new_compare23(Left(Right(xuu47000)), Left(Right(xuu48000)), False, app(app(ty_Either, bdb), app(app(ty_Either, beb), bec)), bbg) → new_ltEs3(xuu47000, xuu48000, beb, bec)
new_compare23(Left(:(xuu47000, xuu47001)), Left(:(xuu48000, xuu48001)), False, app(ty_[], h), bbg) → new_primCompAux(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, h), h)
new_compare3(xuu47000, xuu48000, ec, ed) → new_compare22(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ec, ed), ec, ed)
new_ltEs(Just(xuu47000), Just(xuu48000), app(app(ty_Either, dc), dd)) → new_ltEs3(xuu47000, xuu48000, dc, dd)
new_primCompAux(xuu47000, xuu48000, xuu186, app(ty_[], ba)) → new_compare(xuu47000, xuu48000, ba)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), app(app(ty_Either, fh), ga)), dg), bbg) → new_lt3(xuu47001, xuu48001, fh, ga)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), df), app(ty_[], gb)), bbg) → new_ltEs0(xuu47002, xuu48002, gb)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), app(ty_[], eh)), dg), bbg) → new_lt(xuu47001, xuu48001, eh)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, bae), app(app(app(ty_@3, bah), bba), bbb)), bbg) → new_ltEs1(xuu47001, xuu48001, bah, bba, bbb)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), app(app(ty_Either, ee), ef), df, dg) → new_compare23(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, ee, ef), ee, ef)
new_compare23(Left(Just(xuu47000)), Left(Just(xuu48000)), False, app(ty_Maybe, app(ty_[], cc)), bbg) → new_ltEs0(xuu47000, xuu48000, cc)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), bae, app(ty_[], baf)) → new_ltEs0(xuu47001, xuu48001, baf)
new_ltEs3(Right(xuu47000), Right(xuu48000), bdb, app(app(ty_Either, beb), bec)) → new_ltEs3(xuu47000, xuu48000, beb, bec)
new_compare23(Left(Left(xuu47000)), Left(Left(xuu48000)), False, app(app(ty_Either, app(app(ty_Either, bch), bda)), bca), bbg) → new_ltEs3(xuu47000, xuu48000, bch, bda)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), app(app(app(ty_@3, fb), fc), fd)), dg), bbg) → new_lt1(xuu47001, xuu48001, fb, fc, fd)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, app(ty_Maybe, cb)), df), dg), bbg) → new_compare20(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, cb), cb)
new_compare23(Left(Left(xuu47000)), Left(Left(xuu48000)), False, app(app(ty_Either, app(ty_Maybe, bcb)), bca), bbg) → new_ltEs(xuu47000, xuu48000, bcb)
new_compare23(Right(xuu4700), Right(xuu4800), False, bed, app(ty_Maybe, bef)) → new_ltEs(xuu4700, xuu4800, bef)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), app(app(ty_@2, ff), fg)), dg), bbg) → new_lt2(xuu47001, xuu48001, ff, fg)
new_lt1(xuu47000, xuu48000, dh, ea, eb) → new_compare21(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, dh, ea, eb), dh, ea, eb)
new_ltEs3(Right(xuu47000), Right(xuu48000), bdb, app(ty_[], bdc)) → new_ltEs0(xuu47000, xuu48000, bdc)
new_compare23(Right(xuu4700), Right(xuu4800), False, bed, app(app(ty_@2, bfb), bfc)) → new_ltEs2(xuu4700, xuu4800, bfb, bfc)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), bae, app(app(app(ty_@3, bah), bba), bbb)) → new_ltEs1(xuu47001, xuu48001, bah, bba, bbb)
new_compare23(Left(Right(xuu47000)), Left(Right(xuu48000)), False, app(app(ty_Either, bdb), app(app(app(ty_@3, bde), bdf), bdg)), bbg) → new_ltEs1(xuu47000, xuu48000, bde, bdf, bdg)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, app(app(ty_Either, fh), ga), dg) → new_lt3(xuu47001, xuu48001, fh, ga)
new_primCompAux(xuu47000, xuu48000, xuu186, app(ty_Maybe, bb)) → new_compare1(xuu47000, xuu48000, bb)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, df, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs1(xuu47002, xuu48002, gd, ge, gf)
new_compare23(Left(Left(xuu47000)), Left(Left(xuu48000)), False, app(app(ty_Either, app(app(ty_@2, bcf), bcg)), bca), bbg) → new_ltEs2(xuu47000, xuu48000, bcf, bcg)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, bae), app(ty_Maybe, bag)), bbg) → new_ltEs(xuu47001, xuu48001, bag)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), app(app(ty_@2, ec), ed), df, dg) → new_compare22(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ec, ed), ec, ed)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), app(app(app(ty_@3, hf), hg), hh), hd) → new_lt1(xuu47000, xuu48000, hf, hg, hh)
new_lt0(xuu47000, xuu48000, cb) → new_compare20(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, cb), cb)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), app(ty_Maybe, he), hd) → new_lt0(xuu47000, xuu48000, he)
new_compare23(Left(Just(xuu47000)), Left(Just(xuu48000)), False, app(ty_Maybe, app(app(ty_@2, da), db)), bbg) → new_ltEs2(xuu47000, xuu48000, da, db)
new_compare23(Left(Right(xuu47000)), Left(Right(xuu48000)), False, app(app(ty_Either, bdb), app(app(ty_@2, bdh), bea)), bbg) → new_ltEs2(xuu47000, xuu48000, bdh, bea)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, app(app(ty_@2, baa), bab)), hd), bbg) → new_lt2(xuu47000, xuu48000, baa, bab)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), bae, app(app(ty_Either, bbe), bbf)) → new_ltEs3(xuu47001, xuu48001, bbe, bbf)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, app(app(ty_Either, bac), bad)), hd), bbg) → new_lt3(xuu47000, xuu48000, bac, bad)
new_compare23(Left(:(xuu47000, xuu47001)), Left(:(xuu48000, xuu48001)), False, app(ty_[], h), bbg) → new_compare(xuu47001, xuu48001, h)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), df), app(app(ty_Either, ha), hb)), bbg) → new_ltEs3(xuu47002, xuu48002, ha, hb)
new_ltEs0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), h) → new_compare(xuu47001, xuu48001, h)
new_compare23(Left(Just(xuu47000)), Left(Just(xuu48000)), False, app(ty_Maybe, app(app(ty_Either, dc), dd)), bbg) → new_ltEs3(xuu47000, xuu48000, dc, dd)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), app(ty_[], hc), hd) → new_lt(xuu47000, xuu48000, hc)
new_ltEs3(Right(xuu47000), Right(xuu48000), bdb, app(app(app(ty_@3, bde), bdf), bdg)) → new_ltEs1(xuu47000, xuu48000, bde, bdf, bdg)
new_primCompAux(xuu47000, xuu48000, xuu186, app(app(ty_@2, bf), bg)) → new_compare3(xuu47000, xuu48000, bf, bg)
new_ltEs3(Left(xuu47000), Left(xuu48000), app(ty_[], bbh), bca) → new_ltEs0(xuu47000, xuu48000, bbh)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, app(app(app(ty_@3, hf), hg), hh)), hd), bbg) → new_lt1(xuu47000, xuu48000, hf, hg, hh)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), df), app(ty_Maybe, gc)), bbg) → new_ltEs(xuu47002, xuu48002, gc)
new_compare21(xuu47000, xuu48000, False, dh, ea, eb) → new_ltEs1(xuu47000, xuu48000, dh, ea, eb)
new_compare23(Left(Just(xuu47000)), Left(Just(xuu48000)), False, app(ty_Maybe, app(ty_Maybe, cd)), bbg) → new_ltEs(xuu47000, xuu48000, cd)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, app(ty_[], de)), df), dg), bbg) → new_compare(xuu47000, xuu48000, de)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), app(app(ty_Either, bac), bad), hd) → new_lt3(xuu47000, xuu48000, bac, bad)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), app(app(app(ty_@3, dh), ea), eb), df, dg) → new_compare21(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, dh, ea, eb), dh, ea, eb)
new_ltEs(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ce), cf), cg)) → new_ltEs1(xuu47000, xuu48000, ce, cf, cg)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, app(ty_Maybe, he)), hd), bbg) → new_lt0(xuu47000, xuu48000, he)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, app(ty_[], hc)), hd), bbg) → new_lt(xuu47000, xuu48000, hc)
new_ltEs(Just(xuu47000), Just(xuu48000), app(ty_Maybe, cd)) → new_ltEs(xuu47000, xuu48000, cd)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, app(app(ty_@2, ff), fg), dg) → new_lt2(xuu47001, xuu48001, ff, fg)
new_compare23(Right(xuu4700), Right(xuu4800), False, bed, app(app(app(ty_@3, beg), beh), bfa)) → new_ltEs1(xuu4700, xuu4800, beg, beh, bfa)
new_ltEs3(Right(xuu47000), Right(xuu48000), bdb, app(app(ty_@2, bdh), bea)) → new_ltEs2(xuu47000, xuu48000, bdh, bea)
new_ltEs(Just(xuu47000), Just(xuu48000), app(app(ty_@2, da), db)) → new_ltEs2(xuu47000, xuu48000, da, db)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), df), app(app(ty_@2, gg), gh)), bbg) → new_ltEs2(xuu47002, xuu48002, gg, gh)
new_lt3(xuu47000, xuu48000, ee, ef) → new_compare23(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, ee, ef), ee, ef)
new_compare23(Right(xuu4700), Right(xuu4800), False, bed, app(app(ty_Either, bfd), bfe)) → new_ltEs3(xuu4700, xuu4800, bfd, bfe)
new_lt(xuu47000, xuu48000, de) → new_compare(xuu47000, xuu48000, de)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, df, app(app(ty_Either, ha), hb)) → new_ltEs3(xuu47002, xuu48002, ha, hb)
new_compare23(Left(Right(xuu47000)), Left(Right(xuu48000)), False, app(app(ty_Either, bdb), app(ty_Maybe, bdd)), bbg) → new_ltEs(xuu47000, xuu48000, bdd)
new_primCompAux(xuu47000, xuu48000, xuu186, app(app(ty_Either, bh), ca)) → new_compare4(xuu47000, xuu48000, bh, ca)
new_compare23(Right(xuu4700), Right(xuu4800), False, bed, app(ty_[], bee)) → new_ltEs0(xuu4700, xuu4800, bee)
new_ltEs3(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, bcc), bcd), bce), bca) → new_ltEs1(xuu47000, xuu48000, bcc, bcd, bce)
new_ltEs0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), h) → new_primCompAux(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, h), h)
new_compare23(Left(Right(xuu47000)), Left(Right(xuu48000)), False, app(app(ty_Either, bdb), app(ty_[], bdc)), bbg) → new_ltEs0(xuu47000, xuu48000, bdc)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, app(app(ty_@2, ec), ed)), df), dg), bbg) → new_compare22(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ec, ed), ec, ed)
new_ltEs3(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bcf), bcg), bca) → new_ltEs2(xuu47000, xuu48000, bcf, bcg)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, bae), app(app(ty_Either, bbe), bbf)), bbg) → new_ltEs3(xuu47001, xuu48001, bbe, bbf)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), df), app(app(app(ty_@3, gd), ge), gf)), bbg) → new_ltEs1(xuu47002, xuu48002, gd, ge, gf)
new_compare23(Left(Left(xuu47000)), Left(Left(xuu48000)), False, app(app(ty_Either, app(app(app(ty_@3, bcc), bcd), bce)), bca), bbg) → new_ltEs1(xuu47000, xuu48000, bcc, bcd, bce)
new_ltEs2(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), bae, app(app(ty_@2, bbc), bbd)) → new_ltEs2(xuu47001, xuu48001, bbc, bbd)
new_compare(:(xuu47000, xuu47001), :(xuu48000, xuu48001), h) → new_compare(xuu47001, xuu48001, h)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), app(ty_Maybe, cb), df, dg) → new_compare20(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, cb), cb)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, df, app(ty_Maybe, gc)) → new_ltEs(xuu47002, xuu48002, gc)
new_compare(:(xuu47000, xuu47001), :(xuu48000, xuu48001), h) → new_primCompAux(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, h), h)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, app(ty_[], eh), dg) → new_lt(xuu47001, xuu48001, eh)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, app(app(app(ty_@3, dh), ea), eb)), df), dg), bbg) → new_compare21(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, dh, ea, eb), dh, ea, eb)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, eg), app(ty_Maybe, fa)), dg), bbg) → new_lt0(xuu47001, xuu48001, fa)
new_compare1(xuu47000, xuu48000, cb) → new_compare20(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, cb), cb)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, bae), app(ty_[], baf)), bbg) → new_ltEs0(xuu47001, xuu48001, baf)
new_ltEs3(Right(xuu47000), Right(xuu48000), bdb, app(ty_Maybe, bdd)) → new_ltEs(xuu47000, xuu48000, bdd)
new_compare23(Left(Left(xuu47000)), Left(Left(xuu48000)), False, app(app(ty_Either, app(ty_[], bbh)), bca), bbg) → new_ltEs0(xuu47000, xuu48000, bbh)
new_primCompAux(xuu47000, xuu48000, xuu186, app(app(app(ty_@3, bc), bd), be)) → new_compare2(xuu47000, xuu48000, bc, bd, be)
new_ltEs1(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, df, app(ty_[], gb)) → new_ltEs0(xuu47002, xuu48002, gb)
new_lt2(xuu47000, xuu48000, ec, ed) → new_compare22(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ec, ed), ec, ed)
new_compare23(Left(@3(xuu47000, xuu47001, xuu47002)), Left(@3(xuu48000, xuu48001, xuu48002)), False, app(app(app(ty_@3, app(app(ty_Either, ee), ef)), df), dg), bbg) → new_compare23(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, ee, ef), ee, ef)
new_compare22(xuu47000, xuu48000, False, ec, ed) → new_ltEs2(xuu47000, xuu48000, ec, ed)
new_compare4(xuu47000, xuu48000, ee, ef) → new_compare23(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, ee, ef), ee, ef)
new_compare23(Left(@2(xuu47000, xuu47001)), Left(@2(xuu48000, xuu48001)), False, app(app(ty_@2, bae), app(app(ty_@2, bbc), bbd)), bbg) → new_ltEs2(xuu47001, xuu48001, bbc, bbd)
new_compare20(xuu47000, xuu48000, False, cb) → new_ltEs(xuu47000, xuu48000, cb)

The TRS R consists of the following rules:

new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bhd)) → new_esEs4(xuu40000, xuu3000, bhd)
new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_esEs28(xuu40000, xuu3000, app(ty_[], dch)) → new_esEs13(xuu40000, xuu3000, dch)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, cdb), cdc)) → new_esEs7(xuu40001, xuu3001, cdb, cdc)
new_ltEs19(xuu4700, xuu4800, app(ty_[], bee)) → new_ltEs8(xuu4700, xuu4800, bee)
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, cgd), cge), cfd) → new_esEs7(xuu40000, xuu3000, cgd, cge)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], bbh), bca) → new_ltEs8(xuu47000, xuu48000, bbh)
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, cah), cba)) → new_esEs6(xuu40000, xuu3000, cah, cba)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, cdf), cdg), cdh)) → new_esEs5(xuu40000, xuu3000, cdf, cdg, cdh)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs9(LT, GT) → False
new_esEs9(GT, LT) → False
new_ltEs9(xuu4700, xuu4800, bgb) → new_fsEs(new_compare30(xuu4700, xuu4800, bgb))
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, cbf)) → new_ltEs9(xuu47002, xuu48002, cbf)
new_esEs13([], [], cab) → True
new_ltEs12(LT, GT) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, cgc), cfd) → new_esEs4(xuu40000, xuu3000, cgc)
new_lt19(xuu47000, xuu48000, dh, ea, eb) → new_esEs9(new_compare32(xuu47000, xuu48000, dh, ea, eb), LT)
new_compare110(xuu47000, xuu48000, True, ec, ed) → LT
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, cec)) → new_esEs4(xuu40000, xuu3000, cec)
new_esEs4(Nothing, Just(xuu3000), bgd) → False
new_esEs4(Just(xuu40000), Nothing, bgd) → False
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, bca) → new_ltEs5(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_[], de)) → new_lt12(xuu47000, xuu48000, de)
new_ltEs6(True, False) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, cff), cfg), cfh), cfd) → new_esEs5(xuu40000, xuu3000, cff, cfg, cfh)
new_esEs20(xuu47000, xuu48000, app(ty_[], de)) → new_esEs13(xuu47000, xuu48000, de)
new_compare13(xuu47000, xuu48000, False, dh, ea, eb) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_ltEs12(LT, LT) → True
new_compare29(xuu47000, xuu48000, ee, ef) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, ee, ef), ee, ef)
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, ee), ef)) → new_lt11(xuu47000, xuu48000, ee, ef)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, cfd) → new_esEs14(xuu40000, xuu3000)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, cb)) → new_esEs4(xuu47000, xuu48000, cb)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, caa)) → new_esEs16(xuu47000, xuu48000, caa)
new_compare25(xuu47000, xuu48000, True, cb) → EQ
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_lt17(xuu47001, xuu48001, app(app(ty_@2, ff), fg)) → new_lt7(xuu47001, xuu48001, ff, fg)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_compare32(xuu47000, xuu48000, dh, ea, eb) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, dh, ea, eb), dh, ea, eb)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, bbc), bbd)) → new_ltEs16(xuu47001, xuu48001, bbc, bbd)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, cda)) → new_esEs4(xuu40001, xuu3001, cda)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, bgb)) → new_ltEs9(xuu4700, xuu4800, bgb)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, app(app(app(ty_@3, cha), chb), chc)) → new_esEs5(xuu40000, xuu3000, cha, chb, chc)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(ty_[], h)) → new_ltEs8(xuu4700, xuu4800, h)
new_ltEs12(LT, EQ) → True
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, fb), fc), fd)) → new_esEs5(xuu47001, xuu48001, fb, fc, fd)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, ec), ed)) → new_esEs6(xuu47000, xuu48000, ec, ed)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, dbc)) → new_esEs4(xuu40002, xuu3002, dbc)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), cbh, cca) → new_asAs(new_esEs24(xuu40000, xuu3000, cbh), new_esEs23(xuu40001, xuu3001, cca))
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs5(xuu40000, xuu3000, ddb, ddc, ddd)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, dc), dd)) → new_ltEs17(xuu47000, xuu48000, dc, dd)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_pePe(False, xuu185) → xuu185
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_esEs7(Left(xuu40000), Right(xuu3000), cgf, cfd) → False
new_esEs7(Right(xuu40000), Left(xuu3000), cgf, cfd) → False
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), eg, df, dg) → new_pePe(new_lt16(xuu47000, xuu48000, eg), new_asAs(new_esEs20(xuu47000, xuu48000, eg), new_pePe(new_lt17(xuu47001, xuu48001, df), new_asAs(new_esEs19(xuu47001, xuu48001, df), new_ltEs20(xuu47002, xuu48002, dg)))))
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, dcf), dcg)) → new_esEs7(xuu40001, xuu3001, dcf, dcg)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, app(ty_Ratio, cgh)) → new_esEs16(xuu40000, xuu3000, cgh)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs15(xuu47002, xuu48002, gd, ge, gf)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, bcb), bca) → new_ltEs7(xuu47000, xuu48000, bcb)
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, fh), ga)) → new_esEs7(xuu47001, xuu48001, fh, ga)
new_esEs9(GT, EQ) → False
new_esEs9(EQ, GT) → False
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, dda)) → new_esEs16(xuu40000, xuu3000, dda)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, baa), bab)) → new_lt7(xuu47000, xuu48000, baa, bab)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, dh), ea), eb)) → new_lt19(xuu47000, xuu48000, dh, ea, eb)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs8(xuu4700, xuu4800, h) → new_fsEs(new_compare0(xuu4700, xuu4800, h))
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, baa), bab)) → new_esEs6(xuu47000, xuu48000, baa, bab)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, ec), ed)) → new_lt7(xuu47000, xuu48000, ec, ed)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, fa)) → new_esEs4(xuu47001, xuu48001, fa)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], cc)) → new_ltEs8(xuu47000, xuu48000, cc)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs18(xuu40000, xuu3000, app(ty_[], cac)) → new_esEs13(xuu40000, xuu3000, cac)
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, ced), cee)) → new_esEs7(xuu40000, xuu3000, ced, cee)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, cad)) → new_esEs16(xuu40000, xuu3000, cad)
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, cea), ceb)) → new_esEs6(xuu40000, xuu3000, cea, ceb)
new_compare0([], [], h) → EQ
new_pePe(True, xuu185) → True
new_primEqNat0(Zero, Zero) → True
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, cfd) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, bca) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, bca) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), bdb, bca) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_compare110(xuu47000, xuu48000, False, ec, ed) → GT
new_lt11(xuu47000, xuu48000, ee, ef) → new_esEs9(new_compare29(xuu47000, xuu48000, ee, ef), LT)
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, bdb), bca)) → new_ltEs17(xuu4700, xuu4800, bdb, bca)
new_compare12(xuu47000, xuu48000, False, cb) → GT
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, cae), caf), cag)) → new_esEs5(xuu40000, xuu3000, cae, caf, cag)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, cfd) → new_esEs10(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ce), cf), cg)) → new_ltEs15(xuu47000, xuu48000, ce, cf, cg)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, app(app(ty_Either, chg), chh)) → new_esEs7(xuu40000, xuu3000, chg, chh)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, app(ty_[], cgg)) → new_esEs13(xuu40000, xuu3000, cgg)
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, beg), beh), bfa)) → new_ltEs15(xuu4700, xuu4800, beg, beh, bfa)
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_esEs9(EQ, EQ) → True
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_esEs26(xuu40002, xuu3002, app(ty_[], dad)) → new_esEs13(xuu40002, xuu3002, dad)
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, ddg)) → new_esEs4(xuu40000, xuu3000, ddg)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, bgc)) → new_ltEs9(xuu4700, xuu4800, bgc)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, bca) → new_ltEs14(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, cga), cgb), cfd) → new_esEs6(xuu40000, xuu3000, cga, cgb)
new_ltEs12(EQ, EQ) → True
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_primCompAux0(xuu199, GT) → GT
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, app(app(app(ty_@3, bde), bdf), bdg)) → new_ltEs15(xuu47000, xuu48000, bde, bdf, bdg)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, cfb)) → new_compare30(xuu47000, xuu48000, cfb)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, bca) → new_ltEs13(xuu47000, xuu48000)
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_lt20(xuu47000, xuu48000, app(ty_Maybe, he)) → new_lt5(xuu47000, xuu48000, he)
new_ltEs20(xuu47002, xuu48002, app(ty_[], gb)) → new_ltEs8(xuu47002, xuu48002, gb)
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, dbd), dbe)) → new_esEs7(xuu40002, xuu3002, dbd, dbe)
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bhe), bhf)) → new_esEs7(xuu40000, xuu3000, bhe, bhf)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, cfd) → new_esEs15(xuu40000, xuu3000)
new_compare27(Left(xuu4700), Left(xuu4800), False, bed, bbg) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, bed), bed, bbg)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, app(app(ty_@2, chd), che)) → new_esEs6(xuu40000, xuu3000, chd, che)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, he)) → new_esEs4(xuu47000, xuu48000, he)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, fb), fc), fd)) → new_lt19(xuu47001, xuu48001, fb, fc, fd)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs11(False, False) → True
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_compare33(xuu47000, xuu48000, app(ty_[], ba)) → new_compare0(xuu47000, xuu48000, ba)
new_lt20(xuu47000, xuu48000, app(ty_[], hc)) → new_lt12(xuu47000, xuu48000, hc)
new_compare27(xuu470, xuu480, True, bed, bbg) → EQ
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, cde)) → new_esEs16(xuu40000, xuu3000, cde)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, eg), df), dg)) → new_ltEs15(xuu4700, xuu4800, eg, df, dg)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs6(False, True) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs7(Nothing, Just(xuu48000), bff) → True
new_lt17(xuu47001, xuu48001, app(app(ty_Either, fh), ga)) → new_lt11(xuu47001, xuu48001, fh, ga)
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primCompAux1(xuu47000, xuu48000, xuu186, h) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, h))
new_ltEs6(True, True) → True
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_compare7(@0, @0) → EQ
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, ff), fg)) → new_esEs6(xuu47001, xuu48001, ff, fg)
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xuu40000, xuu3000, bgg, bgh, bha)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, bb)) → new_compare8(xuu47000, xuu48000, bb)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_lt13(xuu47000, xuu48000, caa) → new_esEs9(new_compare30(xuu47000, xuu48000, caa), LT)
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare16(xuu158, xuu159, True, bfh, bga) → LT
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, dbh), dca), dcb)) → new_esEs5(xuu40001, xuu3001, dbh, dca, dcb)
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, bca) → new_ltEs6(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, bfd), bfe)) → new_ltEs17(xuu4700, xuu4800, bfd, bfe)
new_compare26(xuu47000, xuu48000, False, dh, ea, eb) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, dh, ea, eb), dh, ea, eb)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, app(ty_Maybe, bdd)) → new_ltEs7(xuu47000, xuu48000, bdd)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, bc), bd), be)) → new_compare32(xuu47000, xuu48000, bc, bd, be)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_compare12(xuu47000, xuu48000, True, cb) → LT
new_compare28(xuu47000, xuu48000, True, ec, ed) → EQ
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, cfd) → new_esEs17(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bhb), bhc)) → new_esEs6(xuu40000, xuu3000, bhb, bhc)
new_ltEs12(GT, EQ) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, dae)) → new_esEs16(xuu40002, xuu3002, dae)
new_esEs24(xuu40000, xuu3000, app(ty_[], cdd)) → new_esEs13(xuu40000, xuu3000, cdd)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, caa)) → new_lt13(xuu47000, xuu48000, caa)
new_compare8(xuu47000, xuu48000, cb) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, cb), cb)
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, ddh), dea)) → new_esEs7(xuu40000, xuu3000, ddh, dea)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_compare24(xuu47000, xuu48000, True) → EQ
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, app(ty_Maybe, chf)) → new_esEs4(xuu40000, xuu3000, chf)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, app(ty_[], bdc)) → new_ltEs8(xuu47000, xuu48000, bdc)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, dbg)) → new_esEs16(xuu40001, xuu3001, dbg)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, bca) → new_ltEs4(xuu47000, xuu48000)
new_primCompAux0(xuu199, LT) → LT
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_not(False) → True
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_compare27(Right(xuu4700), Left(xuu4800), False, bed, bbg) → GT
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ccg), cch)) → new_esEs6(xuu40001, xuu3001, ccg, cch)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_esEs9(GT, GT) → True
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, app(app(ty_Either, beb), bec)) → new_ltEs17(xuu47000, xuu48000, beb, bec)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, cef)) → new_esEs16(xuu47000, xuu48000, cef)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), bae, hd) → new_pePe(new_lt20(xuu47000, xuu48000, bae), new_asAs(new_esEs25(xuu47000, xuu48000, bae), new_ltEs21(xuu47001, xuu48001, hd)))
new_compare0(:(xuu47000, xuu47001), [], h) → GT
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, bff)) → new_ltEs7(xuu4700, xuu4800, bff)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, bf), bg)) → new_compare17(xuu47000, xuu48000, bf, bg)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, cbb)) → new_esEs4(xuu40000, xuu3000, cbb)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, bah), bba), bbb)) → new_ltEs15(xuu47001, xuu48001, bah, bba, bbb)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, app(app(ty_@2, bdh), bea)) → new_ltEs16(xuu47000, xuu48000, bdh, bea)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, dh), ea), eb)) → new_esEs5(xuu47000, xuu48000, dh, ea, eb)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, cd)) → new_ltEs7(xuu47000, xuu48000, cd)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, bae), hd)) → new_ltEs16(xuu4700, xuu4800, bae, hd)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, bbe), bbf)) → new_ltEs17(xuu47001, xuu48001, bbe, bbf)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, cbc), cbd)) → new_esEs7(xuu40000, xuu3000, cbc, cbd)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, ha), hb)) → new_ltEs17(xuu47002, xuu48002, ha, hb)
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bch), bda), bca) → new_ltEs17(xuu47000, xuu48000, bch, bda)
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, dcc), dcd)) → new_esEs6(xuu40001, xuu3001, dcc, dcd)
new_ltEs12(EQ, GT) → True
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, bhg), bca) → new_ltEs9(xuu47000, xuu48000, bhg)
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, bgd) → True
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, ceg)) → new_ltEs9(xuu47001, xuu48001, ceg)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, bgf)) → new_esEs16(xuu40000, xuu3000, bgf)
new_compare210(xuu47000, xuu48000, True) → EQ
new_ltEs7(Nothing, Nothing, bff) → True
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, dce)) → new_esEs4(xuu40001, xuu3001, dce)
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, bac), bad)) → new_lt11(xuu47000, xuu48000, bac, bad)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], bge)) → new_esEs13(xuu40000, xuu3000, bge)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_esEs11(True, False) → False
new_esEs11(False, True) → False
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), h) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, h), h)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_compare27(Right(xuu4700), Right(xuu4800), False, bed, bbg) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, bbg), bed, bbg)
new_compare25(xuu47000, xuu48000, False, cb) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, cb), cb)
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_ltEs17(Left(xuu47000), Right(xuu48000), bdb, bca) → True
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, dde), ddf)) → new_esEs6(xuu40000, xuu3000, dde, ddf)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_compare18(xuu165, xuu166, True, ceh, cfa) → LT
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, ccc)) → new_esEs16(xuu40001, xuu3001, ccc)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, ee), ef)) → new_esEs7(xuu47000, xuu48000, ee, ef)
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), cbg) → new_asAs(new_esEs22(xuu40000, xuu3000, cbg), new_esEs21(xuu40001, xuu3001, cbg))
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, cbe)) → new_esEs16(xuu47001, xuu48001, cbe)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, cfd) → new_esEs8(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, da), db)) → new_ltEs16(xuu47000, xuu48000, da, db)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_lt7(xuu47000, xuu48000, ec, ed) → new_esEs9(new_compare17(xuu47000, xuu48000, ec, ed), LT)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs15(@0, @0) → True
new_asAs(False, xuu153) → False
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs13([], :(xuu3000, xuu3001), cab) → False
new_esEs13(:(xuu40000, xuu40001), [], cab) → False
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], cfc), cfd) → new_esEs13(xuu40000, xuu3000, cfc)
new_ltEs12(GT, GT) → True
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_esEs11(True, True) → True
new_compare18(xuu165, xuu166, False, ceh, cfa) → GT
new_compare27(Left(xuu4700), Right(xuu4800), False, bed, bbg) → LT
new_esEs25(xuu47000, xuu48000, app(ty_[], hc)) → new_esEs13(xuu47000, xuu48000, hc)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, bca) → new_ltEs11(xuu47000, xuu48000)
new_compare28(xuu47000, xuu48000, False, ec, ed) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, ec, ed), ec, ed)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, fa)) → new_lt5(xuu47001, xuu48001, fa)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bcf), bcg), bca) → new_ltEs16(xuu47000, xuu48000, bcf, bcg)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Nothing, bff) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_lt16(xuu47000, xuu48000, app(ty_Maybe, cb)) → new_lt5(xuu47000, xuu48000, cb)
new_compare11(xuu47000, xuu48000, False) → GT
new_ltEs12(EQ, LT) → False
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_compare16(xuu158, xuu159, False, bfh, bga) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs9(LT, EQ) → False
new_esEs9(EQ, LT) → False
new_compare33(xuu47000, xuu48000, app(app(ty_Either, bh), ca)) → new_compare29(xuu47000, xuu48000, bh, ca)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, cfe), cfd) → new_esEs16(xuu40000, xuu3000, cfe)
new_compare11(xuu47000, xuu48000, True) → LT
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), cab) → new_asAs(new_esEs18(xuu40000, xuu3000, cab), new_esEs13(xuu40001, xuu3001, cab))
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, hf), hg), hh)) → new_esEs5(xuu47000, xuu48000, hf, hg, hh)
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, bef)) → new_ltEs7(xuu4700, xuu4800, bef)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, bag)) → new_ltEs7(xuu47001, xuu48001, bag)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, bcc), bcd), bce), bca) → new_ltEs15(xuu47000, xuu48000, bcc, bcd, bce)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, cbe)) → new_lt13(xuu47001, xuu48001, cbe)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), daa, dab, dac) → new_asAs(new_esEs28(xuu40000, xuu3000, daa), new_asAs(new_esEs27(xuu40001, xuu3001, dab), new_esEs26(xuu40002, xuu3002, dac)))
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_compare26(xuu47000, xuu48000, True, dh, ea, eb) → EQ
new_compare0([], :(xuu48000, xuu48001), h) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, bfb), bfc)) → new_ltEs16(xuu4700, xuu4800, bfb, bfc)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, hf), hg), hh)) → new_lt19(xuu47000, xuu48000, hf, hg, hh)
new_asAs(True, xuu153) → xuu153
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_ltEs21(xuu47001, xuu48001, app(ty_[], baf)) → new_ltEs8(xuu47001, xuu48001, baf)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, daf), dag), dah)) → new_esEs5(xuu40002, xuu3002, daf, dag, dah)
new_esEs27(xuu40001, xuu3001, app(ty_[], dbf)) → new_esEs13(xuu40001, xuu3001, dbf)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, dba), dbb)) → new_esEs6(xuu40002, xuu3002, dba, dbb)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, ccd), cce), ccf)) → new_esEs5(xuu40001, xuu3001, ccd, cce, ccf)
new_ltEs6(False, False) → True
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_lt5(xuu47000, xuu48000, cb) → new_esEs9(new_compare8(xuu47000, xuu48000, cb), LT)
new_lt17(xuu47001, xuu48001, app(ty_[], eh)) → new_lt12(xuu47001, xuu48001, eh)
new_compare10(xuu47000, xuu48000, True) → LT
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_esEs7(Right(xuu40000), Right(xuu3000), cgf, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(ty_[], eh)) → new_esEs13(xuu47001, xuu48001, eh)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), bdb, app(ty_Ratio, bhh)) → new_ltEs9(xuu47000, xuu48000, bhh)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, gc)) → new_ltEs7(xuu47002, xuu48002, gc)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, cfd) → new_esEs11(xuu40000, xuu3000)
new_compare13(xuu47000, xuu48000, True, dh, ea, eb) → LT
new_lt20(xuu47000, xuu48000, app(ty_Ratio, cef)) → new_lt13(xuu47000, xuu48000, cef)
new_compare10(xuu47000, xuu48000, False) → GT
new_esEs9(LT, LT) → True
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, gg), gh)) → new_ltEs16(xuu47002, xuu48002, gg, gh)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, cfd) → new_esEs12(xuu40000, xuu3000)
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, bac), bad)) → new_esEs7(xuu47000, xuu48000, bac, bad)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, bfg)) → new_ltEs9(xuu47000, xuu48000, bfg)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs12(GT, LT) → False
new_primCompAux0(xuu199, EQ) → xuu199
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_compare17(xuu47000, xuu48000, ec, ed) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ec, ed), ec, ed)
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_esEs23(xuu40001, xuu3001, app(ty_[], ccb)) → new_esEs13(xuu40001, xuu3001, ccb)
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_not(True) → False
new_lt12(xuu47000, xuu48000, de) → new_esEs9(new_compare0(xuu47000, xuu48000, de), LT)

The set Q consists of the following terms:

new_ltEs7(Just(x0), Nothing, x1)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_compare29(x0, x1, x2, x3)
new_compare11(x0, x1, False)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_lt14(x0, x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, x2)
new_esEs18(x0, x1, ty_Int)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_compare33(x0, x1, ty_@0)
new_esEs19(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_lt13(x0, x1, x2)
new_compare0([], [], x0)
new_compare0([], :(x0, x1), x2)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_@0)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_compare28(x0, x1, False, x2, x3)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_esEs25(x0, x1, ty_Double)
new_compare27(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs12(GT, GT)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_compare28(x0, x1, True, x2, x3)
new_esEs25(x0, x1, app(ty_[], x2))
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_compare25(x0, x1, True, x2)
new_ltEs18(x0, x1, ty_Char)
new_esEs9(GT, EQ)
new_esEs9(EQ, GT)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_ltEs21(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_@0)
new_compare16(x0, x1, False, x2, x3)
new_esEs20(x0, x1, ty_Ordering)
new_lt17(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1, ty_@0)
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_esEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt17(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare24(x0, x1, False)
new_lt17(x0, x1, app(ty_Ratio, x2))
new_compare33(x0, x1, app(ty_[], x2))
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2, x3, x4)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_ltEs19(x0, x1, ty_@0)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_lt4(x0, x1)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_compare13(x0, x1, True, x2, x3, x4)
new_esEs13(:(x0, x1), [], x2)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13([], :(x0, x1), x2)
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_compare9(x0, x1)
new_lt5(x0, x1, x2)
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare0(:(x0, x1), [], x2)
new_compare14(Char(x0), Char(x1))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs9(LT, EQ)
new_esEs9(EQ, LT)
new_compare210(x0, x1, False)
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_lt17(x0, x1, ty_Bool)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs25(x0, x1, ty_Ordering)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs8(Char(x0), Char(x1))
new_primPlusNat1(Succ(x0), Zero)
new_compare8(x0, x1, x2)
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_lt17(x0, x1, ty_@0)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare33(x0, x1, ty_Int)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs18(x0, x1, ty_Bool)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_esEs26(x0, x1, ty_Float)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_compare19(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs18(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Succ(x0))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs20(x0, x1, ty_Float)
new_esEs18(x0, x1, ty_Double)
new_compare18(x0, x1, True, x2, x3)
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_lt16(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt17(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primMulInt(Neg(x0), Neg(x1))
new_primMulNat0(Zero, Succ(x0))
new_primCompAux0(x0, GT)
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Nothing, x1)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux1(x0, x1, x2, x3)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Float)
new_esEs13([], [], x0)
new_lt20(x0, x1, ty_Char)
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_esEs21(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Integer)
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1, ty_Int)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs4(Nothing, Nothing, x0)
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_sr0(Integer(x0), Integer(x1))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(True, False)
new_ltEs6(False, True)
new_esEs24(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_[], x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_esEs10(x0, x1)
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_esEs19(x0, x1, ty_Int)
new_esEs9(GT, GT)
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_pePe(True, x0)
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_lt18(x0, x1)
new_lt7(x0, x1, x2, x3)
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_@0)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_primMulInt(Pos(x0), Pos(x1))
new_compare33(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Nothing, Nothing, x0)
new_esEs24(x0, x1, ty_Int)
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_ltEs12(EQ, EQ)
new_esEs18(x0, x1, app(ty_[], x2))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(False, False)
new_ltEs19(x0, x1, ty_Int)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs9(EQ, EQ)
new_compare18(x0, x1, False, x2, x3)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_esEs23(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_lt16(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(Float(x0, x1), Float(x2, x3))
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Char)
new_lt20(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, True, x2, x3, x4)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt9(x0, x1)
new_ltEs9(x0, x1, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare12(x0, x1, False, x2)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Int)
new_ltEs18(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs5(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs7(Nothing, Just(x0), x1)
new_compare7(@0, @0)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs18(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, ty_Double)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs23(x0, x1, ty_Bool)
new_compare210(x0, x1, True)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare110(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, ty_Bool)
new_lt16(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs23(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Double)
new_esEs18(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Double)
new_primCmpNat0(Zero, Zero)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs28(x0, x1, ty_Int)
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_compare5(Integer(x0), Integer(x1))
new_compare25(x0, x1, False, x2)
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_compare12(x0, x1, True, x2)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_compare17(x0, x1, x2, x3)
new_compare16(x0, x1, True, x2, x3)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_compare24(x0, x1, True)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_esEs27(x0, x1, ty_Double)
new_lt11(x0, x1, x2, x3)
new_esEs4(Nothing, Just(x0), x1)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt16(x0, x1, app(ty_Maybe, x2))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs19(x0, x1, app(ty_[], x2))
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt16(x0, x1, ty_Bool)
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_ltEs21(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_not(False)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_lt16(x0, x1, ty_Double)
new_ltEs10(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_ltEs20(x0, x1, ty_Double)
new_compare110(x0, x1, True, x2, x3)
new_esEs18(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_ltEs8(x0, x1, x2)
new_compare32(x0, x1, x2, x3, x4)
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_lt17(x0, x1, app(ty_[], x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Char)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Zero)
new_primCmpNat0(Zero, Succ(x0))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_pePe(False, x0)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare33(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs28(x0, x1, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare33(x0, x1, ty_Double)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs19(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_esEs27(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, False, x2, x3, x4)
new_lt16(x0, x1, ty_Ordering)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, x2, x3, x4)
new_esEs19(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_lt16(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_primPlusNat0(Zero, x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs27(x0, x1, ty_Ordering)
new_esEs9(LT, LT)
new_esEs28(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Bool)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, 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
                                    ↳ DependencyGraphProof
                                  ↳ QDP

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

new_addToFM_C12(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bf, bg, bh) → new_addToFM_C(xuu35, Right(xuu36), xuu37, bf, bg, bh)
new_addToFM_C1(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, h, ba, bb) → new_addToFM_C(xuu18, Left(xuu19), xuu20, h, ba, bb)
new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, bc, bd, be) → new_addToFM_C11(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C2(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, h, ba, bb) → new_addToFM_C(xuu17, Left(xuu19), xuu20, h, ba, bb)
new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu33, Right(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, bc, bd, be) → new_addToFM_C22(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Right(xuu300), new_esEs31(xuu4000, xuu300, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu33, Left(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, bc, bd, be) → new_addToFM_C2(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Left(xuu300), new_esEs30(xuu4000, xuu300, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C2(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, False, h, ba, bb) → new_addToFM_C1(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, new_esEs9(new_compare27(Left(xuu19), Left(xuu14), new_esEs29(xuu19, xuu14, h), h, ba), GT), h, ba, bb)
new_addToFM_C(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, bc, bd, be) → new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C22(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bf, bg, bh) → new_addToFM_C(xuu34, Right(xuu36), xuu37, bf, bg, bh)
new_addToFM_C11(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu34, Right(xuu4000), xuu401, bc, bd, be)
new_addToFM_C10(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu34, Left(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, bc, bd, be) → new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C22(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, False, bf, bg, bh) → new_addToFM_C12(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, new_esEs9(new_compare27(Right(xuu36), Right(xuu31), new_esEs32(xuu36, xuu31, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, bc, bd, be) → new_addToFM_C10(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs29(xuu19, xuu14, ty_Integer) → new_esEs17(xuu19, xuu14)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bdh)) → new_esEs4(xuu40000, xuu3000, bdh)
new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_esEs28(xuu40000, xuu3000, app(ty_[], dhg)) → new_esEs13(xuu40000, xuu3000, dhg)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, cfc), cfd)) → new_esEs7(xuu40001, xuu3001, cfc, cfd)
new_ltEs19(xuu4700, xuu4800, app(ty_[], hc)) → new_ltEs8(xuu4700, xuu4800, hc)
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_esEs31(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, ddg), ddh), bch) → new_esEs7(xuu40000, xuu3000, ddg, ddh)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], bee), hb) → new_ltEs8(xuu47000, xuu48000, bee)
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, cbb), cbc)) → new_esEs6(xuu40000, xuu3000, cbb, cbc)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, cfg), cfh), cga)) → new_esEs5(xuu40000, xuu3000, cfg, cfh, cga)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs9(LT, GT) → False
new_esEs9(GT, LT) → False
new_ltEs9(xuu4700, xuu4800, gc) → new_fsEs(new_compare30(xuu4700, xuu4800, gc))
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, cdb)) → new_ltEs9(xuu47002, xuu48002, cdb)
new_esEs13([], [], bbg) → True
new_ltEs12(LT, GT) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, ddf), bch) → new_esEs4(xuu40000, xuu3000, ddf)
new_lt19(xuu47000, xuu48000, de, df, dg) → new_esEs9(new_compare32(xuu47000, xuu48000, de, df, dg), LT)
new_compare110(xuu47000, xuu48000, True, ff, fg) → LT
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_Double) → new_esEs14(xuu19, xuu14)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs30(xuu4000, xuu300, app(ty_[], bbg)) → new_esEs13(xuu4000, xuu300, bbg)
new_esEs4(Nothing, Just(xuu3000), bcf) → False
new_esEs4(Just(xuu40000), Nothing, bcf) → False
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, cgd)) → new_esEs4(xuu40000, xuu3000, cgd)
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_esEs31(xuu4000, xuu300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xuu4000, xuu300, bag, bah, bba)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, hb) → new_ltEs5(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_[], bha)) → new_lt12(xuu47000, xuu48000, bha)
new_ltEs6(True, False) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, dda), ddb), ddc), bch) → new_esEs5(xuu40000, xuu3000, dda, ddb, ddc)
new_esEs20(xuu47000, xuu48000, app(ty_[], bha)) → new_esEs13(xuu47000, xuu48000, bha)
new_compare13(xuu47000, xuu48000, False, de, df, dg) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_ltEs12(LT, LT) → True
new_esEs32(xuu36, xuu31, ty_@0) → new_esEs15(xuu36, xuu31)
new_compare29(xuu47000, xuu48000, bec, bed) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, bec, bed), bec, bed)
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_lt11(xuu47000, xuu48000, bec, bed)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, bch) → new_esEs14(xuu40000, xuu3000)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_esEs4(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_esEs16(xuu47000, xuu48000, bhb)
new_compare25(xuu47000, xuu48000, True, dd) → EQ
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_lt17(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_lt7(xuu47001, xuu48001, cce, ccf)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_compare32(xuu47000, xuu48000, de, df, dg) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs30(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, cfb)) → new_esEs4(xuu40001, xuu3001, cfb)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, dag), dah)) → new_ltEs16(xuu47001, xuu48001, dag, dah)
new_esEs30(xuu4000, xuu300, app(app(ty_Either, bcg), bch)) → new_esEs7(xuu4000, xuu300, bcg, bch)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, gc)) → new_ltEs9(xuu4700, xuu4800, gc)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(app(ty_@3, dec), ded), dee)) → new_esEs5(xuu40000, xuu3000, dec, ded, dee)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(ty_[], gb)) → new_ltEs8(xuu4700, xuu4800, gb)
new_ltEs12(LT, EQ) → True
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs5(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_esEs6(xuu47000, xuu48000, ff, fg)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, dgb)) → new_esEs4(xuu40002, xuu3002, dgb)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), bcd, bce) → new_asAs(new_esEs24(xuu40000, xuu3000, bcd), new_esEs23(xuu40001, xuu3001, bce))
new_esEs32(xuu36, xuu31, ty_Integer) → new_esEs17(xuu36, xuu31)
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, eaa), eab), eac)) → new_esEs5(xuu40000, xuu3000, eaa, eab, eac)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, fa), fb)) → new_ltEs17(xuu47000, xuu48000, fa, fb)
new_esEs32(xuu36, xuu31, app(app(ty_@2, cf), cg)) → new_esEs6(xuu36, xuu31, cf, cg)
new_pePe(False, xuu185) → xuu185
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_esEs7(Left(xuu40000), Right(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Left(xuu3000), bcg, bch) → False
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), gd, ge, gf) → new_pePe(new_lt16(xuu47000, xuu48000, gd), new_asAs(new_esEs20(xuu47000, xuu48000, gd), new_pePe(new_lt17(xuu47001, xuu48001, ge), new_asAs(new_esEs19(xuu47001, xuu48001, ge), new_ltEs20(xuu47002, xuu48002, gf)))))
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, dhe), dhf)) → new_esEs7(xuu40001, xuu3001, dhe, dhf)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Ratio, deb)) → new_esEs16(xuu40000, xuu3000, deb)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_esEs32(xuu36, xuu31, ty_Ordering) → new_esEs9(xuu36, xuu31)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs15(xuu47002, xuu48002, cdd, cde, cdf)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, beg), hb) → new_ltEs7(xuu47000, xuu48000, beg)
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_esEs7(xuu47001, xuu48001, ccg, cch)
new_esEs9(EQ, GT) → False
new_esEs9(GT, EQ) → False
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, dhh)) → new_esEs16(xuu40000, xuu3000, dhh)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_lt7(xuu47000, xuu48000, che, chf)
new_esEs32(xuu36, xuu31, app(ty_Maybe, da)) → new_esEs4(xuu36, xuu31, da)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_lt19(xuu47000, xuu48000, de, df, dg)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs8(xuu4700, xuu4800, gb) → new_fsEs(new_compare0(xuu4700, xuu4800, gb))
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_esEs6(xuu47000, xuu48000, che, chf)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_lt7(xuu47000, xuu48000, ff, fg)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_esEs4(xuu47001, xuu48001, cca)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], ea)) → new_ltEs8(xuu47000, xuu48000, ea)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs18(xuu40000, xuu3000, app(ty_[], cae)) → new_esEs13(xuu40000, xuu3000, cae)
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, cge), cgf)) → new_esEs7(xuu40000, xuu3000, cge, cgf)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, caf)) → new_esEs16(xuu40000, xuu3000, caf)
new_compare0([], [], gb) → EQ
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, cgb), cgc)) → new_esEs6(xuu40000, xuu3000, cgb, cgc)
new_pePe(True, xuu185) → True
new_primEqNat0(Zero, Zero) → True
new_esEs32(xuu36, xuu31, ty_Double) → new_esEs14(xuu36, xuu31)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, bch) → new_esEs9(xuu40000, xuu3000)
new_esEs29(xuu19, xuu14, app(ty_[], bhc)) → new_esEs13(xuu19, xuu14, bhc)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, hb) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, hb) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), ha, hb) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_compare110(xuu47000, xuu48000, False, ff, fg) → GT
new_lt11(xuu47000, xuu48000, bec, bed) → new_esEs9(new_compare29(xuu47000, xuu48000, bec, bed), LT)
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, ha), hb)) → new_ltEs17(xuu4700, xuu4800, ha, hb)
new_compare12(xuu47000, xuu48000, False, dd) → GT
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(xuu40000, xuu3000, cag, cah, cba)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs31(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, bch) → new_esEs10(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ed), ee), ef)) → new_ltEs15(xuu47000, xuu48000, ed, ee, ef)
new_esEs31(xuu4000, xuu300, app(app(ty_Either, bbe), bbf)) → new_esEs7(xuu4000, xuu300, bbe, bbf)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_Either, dfa), dfb)) → new_esEs7(xuu40000, xuu3000, dfa, dfb)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_[], dea)) → new_esEs13(xuu40000, xuu3000, dea)
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs15(xuu4700, xuu4800, hf, hg, hh)
new_esEs29(xuu19, xuu14, ty_Bool) → new_esEs11(xuu19, xuu14)
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_esEs9(EQ, EQ) → True
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_esEs26(xuu40002, xuu3002, app(ty_[], dfc)) → new_esEs13(xuu40002, xuu3002, dfc)
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_esEs31(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(ty_Maybe, bcf)) → new_esEs4(xuu4000, xuu300, bcf)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, eaf)) → new_esEs4(xuu40000, xuu3000, eaf)
new_esEs31(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, hb) → new_ltEs14(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, hd)) → new_ltEs9(xuu4700, xuu4800, hd)
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, ddd), dde), bch) → new_esEs6(xuu40000, xuu3000, ddd, dde)
new_ltEs12(EQ, EQ) → True
new_esEs32(xuu36, xuu31, app(app(app(ty_@3, cc), cd), ce)) → new_esEs5(xuu36, xuu31, cc, cd, ce)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_primCompAux0(xuu199, GT) → GT
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(app(ty_@3, bgb), bgc), bgd)) → new_ltEs15(xuu47000, xuu48000, bgb, bgc, bgd)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, dbf)) → new_compare30(xuu47000, xuu48000, dbf)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, hb) → new_ltEs13(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_lt5(xuu47000, xuu48000, cha)
new_ltEs20(xuu47002, xuu48002, app(ty_[], cda)) → new_ltEs8(xuu47002, xuu48002, cda)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, dgc), dgd)) → new_esEs7(xuu40002, xuu3002, dgc, dgd)
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bea), beb)) → new_esEs7(xuu40000, xuu3000, bea, beb)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, bch) → new_esEs15(xuu40000, xuu3000)
new_compare27(Left(xuu4700), Left(xuu4800), False, fh, ga) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, fh), fh, ga)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_@2, def), deg)) → new_esEs6(xuu40000, xuu3000, def, deg)
new_esEs30(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_esEs4(xuu47000, xuu48000, cha)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_lt19(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs11(False, False) → True
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_compare33(xuu47000, xuu48000, app(ty_[], dbe)) → new_compare0(xuu47000, xuu48000, dbe)
new_compare27(xuu470, xuu480, True, fh, ga) → EQ
new_lt20(xuu47000, xuu48000, app(ty_[], cgg)) → new_lt12(xuu47000, xuu48000, cgg)
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs32(xuu36, xuu31, app(app(ty_Either, db), dc)) → new_esEs7(xuu36, xuu31, db, dc)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, cff)) → new_esEs16(xuu40000, xuu3000, cff)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs15(xuu4700, xuu4800, gd, ge, gf)
new_esEs31(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs6(False, True) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs7(Nothing, Just(xuu48000), dh) → True
new_esEs32(xuu36, xuu31, app(ty_[], ca)) → new_esEs13(xuu36, xuu31, ca)
new_lt17(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_lt11(xuu47001, xuu48001, ccg, cch)
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primCompAux1(xuu47000, xuu48000, xuu186, gb) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, gb))
new_ltEs6(True, True) → True
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_compare7(@0, @0) → EQ
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_esEs6(xuu47001, xuu48001, cce, ccf)
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs5(xuu40000, xuu3000, bdc, bdd, bde)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs29(xuu19, xuu14, ty_Int) → new_esEs10(xuu19, xuu14)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, dbg)) → new_compare8(xuu47000, xuu48000, dbg)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_lt13(xuu47000, xuu48000, bhb) → new_esEs9(new_compare30(xuu47000, xuu48000, bhb), LT)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare16(xuu158, xuu159, True, fc, fd) → LT
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu40001, xuu3001, dgg, dgh, dha)
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, hb) → new_ltEs6(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, bac), bad)) → new_ltEs17(xuu4700, xuu4800, bac, bad)
new_compare26(xuu47000, xuu48000, False, de, df, dg) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_esEs31(xuu4000, xuu300, app(ty_Ratio, baf)) → new_esEs16(xuu4000, xuu300, baf)
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Maybe, bga)) → new_ltEs7(xuu47000, xuu48000, bga)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, dbh), dca), dcb)) → new_compare32(xuu47000, xuu48000, dbh, dca, dcb)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_compare12(xuu47000, xuu48000, True, dd) → LT
new_compare28(xuu47000, xuu48000, True, ff, fg) → EQ
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, bch) → new_esEs17(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bdf), bdg)) → new_esEs6(xuu40000, xuu3000, bdf, bdg)
new_ltEs12(GT, EQ) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, dfd)) → new_esEs16(xuu40002, xuu3002, dfd)
new_esEs24(xuu40000, xuu3000, app(ty_[], cfe)) → new_esEs13(xuu40000, xuu3000, cfe)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_lt13(xuu47000, xuu48000, bhb)
new_compare8(xuu47000, xuu48000, dd) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, dd), dd)
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_esEs31(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs30(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, eag), eah)) → new_esEs7(xuu40000, xuu3000, eag, eah)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_compare24(xuu47000, xuu48000, True) → EQ
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Maybe, deh)) → new_esEs4(xuu40000, xuu3000, deh)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_[], bfg)) → new_ltEs8(xuu47000, xuu48000, bfg)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, dgf)) → new_esEs16(xuu40001, xuu3001, dgf)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, hb) → new_ltEs4(xuu47000, xuu48000)
new_primCompAux0(xuu199, LT) → LT
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_not(False) → True
new_esEs30(xuu4000, xuu300, app(ty_Ratio, bbh)) → new_esEs16(xuu4000, xuu300, bbh)
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_compare27(Right(xuu4700), Left(xuu4800), False, fh, ga) → GT
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ceh), cfa)) → new_esEs6(xuu40001, xuu3001, ceh, cfa)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_esEs9(GT, GT) → True
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_Either, bgg), bgh)) → new_ltEs17(xuu47000, xuu48000, bgg, bgh)
new_esEs31(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_esEs16(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_compare0(:(xuu47000, xuu47001), [], gb) → GT
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), gg, gh) → new_pePe(new_lt20(xuu47000, xuu48000, gg), new_asAs(new_esEs25(xuu47000, xuu48000, gg), new_ltEs21(xuu47001, xuu48001, gh)))
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, dh)) → new_ltEs7(xuu4700, xuu4800, dh)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, dcc), dcd)) → new_compare17(xuu47000, xuu48000, dcc, dcd)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, cbd)) → new_esEs4(xuu40000, xuu3000, cbd)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_@2, bge), bgf)) → new_ltEs16(xuu47000, xuu48000, bge, bgf)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, dad), dae), daf)) → new_ltEs15(xuu47001, xuu48001, dad, dae, daf)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xuu47000, xuu48000, de, df, dg)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, ec)) → new_ltEs7(xuu47000, xuu48000, ec)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, gg), gh)) → new_ltEs16(xuu4700, xuu4800, gg, gh)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, cbe), cbf)) → new_esEs7(xuu40000, xuu3000, cbe, cbf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, dba), dbb)) → new_ltEs17(xuu47001, xuu48001, dba, dbb)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, cea), ceb)) → new_ltEs17(xuu47002, xuu48002, cea, ceb)
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bfe), bff), hb) → new_ltEs17(xuu47000, xuu48000, bfe, bff)
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, dhb), dhc)) → new_esEs6(xuu40001, xuu3001, dhb, dhc)
new_ltEs12(EQ, GT) → True
new_esEs29(xuu19, xuu14, app(app(ty_@2, bhh), caa)) → new_esEs6(xuu19, xuu14, bhh, caa)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, bef), hb) → new_ltEs9(xuu47000, xuu48000, bef)
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, bcf) → True
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, dab)) → new_ltEs9(xuu47001, xuu48001, dab)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, bdb)) → new_esEs16(xuu40000, xuu3000, bdb)
new_compare210(xuu47000, xuu48000, True) → EQ
new_ltEs7(Nothing, Nothing, dh) → True
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, dhd)) → new_esEs4(xuu40001, xuu3001, dhd)
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_lt11(xuu47000, xuu48000, chg, chh)
new_esEs29(xuu19, xuu14, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs5(xuu19, xuu14, bhe, bhf, bhg)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], bda)) → new_esEs13(xuu40000, xuu3000, bda)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_esEs30(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), gb) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, gb), gb)
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_@0) → new_esEs15(xuu19, xuu14)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_compare27(Right(xuu4700), Right(xuu4800), False, fh, ga) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, ga), fh, ga)
new_compare25(xuu47000, xuu48000, False, dd) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, dd), dd)
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_ltEs17(Left(xuu47000), Right(xuu48000), ha, hb) → True
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, ead), eae)) → new_esEs6(xuu40000, xuu3000, ead, eae)
new_esEs30(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_compare18(xuu165, xuu166, True, dbc, dbd) → LT
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, ced)) → new_esEs16(xuu40001, xuu3001, ced)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_esEs7(xuu47000, xuu48000, bec, bed)
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), bbh) → new_asAs(new_esEs22(xuu40000, xuu3000, bbh), new_esEs21(xuu40001, xuu3001, bbh))
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_esEs16(xuu47001, xuu48001, cbh)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, bch) → new_esEs8(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, eg), eh)) → new_ltEs16(xuu47000, xuu48000, eg, eh)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_lt7(xuu47000, xuu48000, ff, fg) → new_esEs9(new_compare17(xuu47000, xuu48000, ff, fg), LT)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs15(@0, @0) → True
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs32(xuu36, xuu31, ty_Bool) → new_esEs11(xuu36, xuu31)
new_asAs(False, xuu153) → False
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs13([], :(xuu3000, xuu3001), bbg) → False
new_esEs13(:(xuu40000, xuu40001), [], bbg) → False
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_esEs32(xuu36, xuu31, app(ty_Ratio, cb)) → new_esEs16(xuu36, xuu31, cb)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], dcg), bch) → new_esEs13(xuu40000, xuu3000, dcg)
new_ltEs12(GT, GT) → True
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_esEs32(xuu36, xuu31, ty_Int) → new_esEs10(xuu36, xuu31)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, app(ty_Ratio, bhd)) → new_esEs16(xuu19, xuu14, bhd)
new_esEs11(True, True) → True
new_compare18(xuu165, xuu166, False, dbc, dbd) → GT
new_esEs29(xuu19, xuu14, ty_Char) → new_esEs8(xuu19, xuu14)
new_compare27(Left(xuu4700), Right(xuu4800), False, fh, ga) → LT
new_esEs25(xuu47000, xuu48000, app(ty_[], cgg)) → new_esEs13(xuu47000, xuu48000, cgg)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, hb) → new_ltEs11(xuu47000, xuu48000)
new_compare28(xuu47000, xuu48000, False, ff, fg) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, ff, fg), ff, fg)
new_esEs31(xuu4000, xuu300, app(ty_[], bae)) → new_esEs13(xuu4000, xuu300, bae)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_lt5(xuu47001, xuu48001, cca)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bfc), bfd), hb) → new_ltEs16(xuu47000, xuu48000, bfc, bfd)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Nothing, dh) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_lt16(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_lt5(xuu47000, xuu48000, dd)
new_compare11(xuu47000, xuu48000, False) → GT
new_esEs30(xuu4000, xuu300, app(app(ty_@2, bcd), bce)) → new_esEs6(xuu4000, xuu300, bcd, bce)
new_ltEs12(EQ, LT) → False
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_compare16(xuu158, xuu159, False, fc, fd) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs9(EQ, LT) → False
new_esEs9(LT, EQ) → False
new_compare33(xuu47000, xuu48000, app(app(ty_Either, dce), dcf)) → new_compare29(xuu47000, xuu48000, dce, dcf)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, dch), bch) → new_esEs16(xuu40000, xuu3000, dch)
new_compare11(xuu47000, xuu48000, True) → LT
new_esEs31(xuu4000, xuu300, app(ty_Maybe, bbd)) → new_esEs4(xuu4000, xuu300, bbd)
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), bbg) → new_asAs(new_esEs18(xuu40000, xuu3000, bbg), new_esEs13(xuu40001, xuu3001, bbg))
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, he)) → new_ltEs7(xuu4700, xuu4800, he)
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_esEs5(xuu47000, xuu48000, chb, chc, chd)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, dac)) → new_ltEs7(xuu47001, xuu48001, dac)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, beh), bfa), bfb), hb) → new_ltEs15(xuu47000, xuu48000, beh, bfa, bfb)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_lt13(xuu47001, xuu48001, cbh)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs29(xuu19, xuu14, app(app(ty_Either, cac), cad)) → new_esEs7(xuu19, xuu14, cac, cad)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), bca, bcb, bcc) → new_asAs(new_esEs28(xuu40000, xuu3000, bca), new_asAs(new_esEs27(xuu40001, xuu3001, bcb), new_esEs26(xuu40002, xuu3002, bcc)))
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_compare26(xuu47000, xuu48000, True, de, df, dg) → EQ
new_compare0([], :(xuu48000, xuu48001), gb) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_esEs32(xuu36, xuu31, ty_Float) → new_esEs12(xuu36, xuu31)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, baa), bab)) → new_ltEs16(xuu4700, xuu4800, baa, bab)
new_esEs31(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_lt19(xuu47000, xuu48000, chb, chc, chd)
new_asAs(True, xuu153) → xuu153
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_ltEs21(xuu47001, xuu48001, app(ty_[], daa)) → new_ltEs8(xuu47001, xuu48001, daa)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs30(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, dfe), dff), dfg)) → new_esEs5(xuu40002, xuu3002, dfe, dff, dfg)
new_esEs27(xuu40001, xuu3001, app(ty_[], dge)) → new_esEs13(xuu40001, xuu3001, dge)
new_esEs29(xuu19, xuu14, ty_Float) → new_esEs12(xuu19, xuu14)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, dfh), dga)) → new_esEs6(xuu40002, xuu3002, dfh, dga)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, cee), cef), ceg)) → new_esEs5(xuu40001, xuu3001, cee, cef, ceg)
new_esEs32(xuu36, xuu31, ty_Char) → new_esEs8(xuu36, xuu31)
new_ltEs6(False, False) → True
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_lt5(xuu47000, xuu48000, dd) → new_esEs9(new_compare8(xuu47000, xuu48000, dd), LT)
new_lt17(xuu47001, xuu48001, app(ty_[], cbg)) → new_lt12(xuu47001, xuu48001, cbg)
new_compare10(xuu47000, xuu48000, True) → LT
new_esEs30(xuu4000, xuu300, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs5(xuu4000, xuu300, bca, bcb, bcc)
new_esEs29(xuu19, xuu14, app(ty_Maybe, cab)) → new_esEs4(xuu19, xuu14, cab)
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(ty_[], cbg)) → new_esEs13(xuu47001, xuu48001, cbg)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs30(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Ratio, bfh)) → new_ltEs9(xuu47000, xuu48000, bfh)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, cdc)) → new_ltEs7(xuu47002, xuu48002, cdc)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, bch) → new_esEs11(xuu40000, xuu3000)
new_compare13(xuu47000, xuu48000, True, de, df, dg) → LT
new_lt20(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_lt13(xuu47000, xuu48000, cgh)
new_compare10(xuu47000, xuu48000, False) → GT
new_esEs9(LT, LT) → True
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, cdg), cdh)) → new_ltEs16(xuu47002, xuu48002, cdg, cdh)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, bch) → new_esEs12(xuu40000, xuu3000)
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_esEs7(xuu47000, xuu48000, chg, chh)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, eb)) → new_ltEs9(xuu47000, xuu48000, eb)
new_esEs31(xuu4000, xuu300, app(app(ty_@2, bbb), bbc)) → new_esEs6(xuu4000, xuu300, bbb, bbc)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs12(GT, LT) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_primCompAux0(xuu199, EQ) → xuu199
new_esEs29(xuu19, xuu14, ty_Ordering) → new_esEs9(xuu19, xuu14)
new_compare17(xuu47000, xuu48000, ff, fg) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ff, fg), ff, fg)
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_esEs23(xuu40001, xuu3001, app(ty_[], cec)) → new_esEs13(xuu40001, xuu3001, cec)
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_not(True) → False
new_lt12(xuu47000, xuu48000, bha) → new_esEs9(new_compare0(xuu47000, xuu48000, bha), LT)

The set Q consists of the following terms:

new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_compare11(x0, x1, False)
new_compare16(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_lt14(x0, x1)
new_esEs32(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Int)
new_esEs19(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare33(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt16(x0, x1, app(ty_Ratio, x2))
new_esEs13([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_ltEs7(Nothing, Nothing, x0)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs25(x0, x1, ty_Double)
new_ltEs12(GT, GT)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_compare26(x0, x1, False, x2, x3, x4)
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Char)
new_compare25(x0, x1, False, x2)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs9(EQ, GT)
new_esEs9(GT, EQ)
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_esEs29(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs7(Nothing, Just(x0), x1)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_compare17(x0, x1, x2, x3)
new_compare18(x0, x1, True, x2, x3)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, x2)
new_lt17(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_lt12(x0, x1, x2)
new_lt16(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_compare29(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs31(x0, x1, ty_Char)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_compare14(Char(x0), Char(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Nothing, x1)
new_esEs9(EQ, LT)
new_esEs9(LT, EQ)
new_compare210(x0, x1, False)
new_esEs23(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt17(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Ordering)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_lt20(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(Char(x0), Char(x1))
new_primPlusNat1(Succ(x0), Zero)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_lt17(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Int)
new_esEs18(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Float)
new_compare19(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_@0)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Bool)
new_primEqNat0(Zero, Succ(x0))
new_ltEs20(x0, x1, ty_Float)
new_compare0([], [], x0)
new_esEs18(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_lt16(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt17(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Zero, Zero)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primMulNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Char)
new_primCompAux0(x0, GT)
new_compare12(x0, x1, True, x2)
new_esEs32(x0, x1, ty_@0)
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare26(x0, x1, True, x2, x3, x4)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_lt16(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs13(:(x0, x1), [], x2)
new_sr0(Integer(x0), Integer(x1))
new_compare27(x0, x1, True, x2, x3)
new_ltEs6(True, False)
new_ltEs6(False, True)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs24(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_lt17(x0, x1, app(ty_[], x2))
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, ty_Char)
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_lt16(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs10(x0, x1)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs9(GT, GT)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_pePe(True, x0)
new_lt18(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_lt17(x0, x1, app(ty_Maybe, x2))
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_primMulInt(Pos(x0), Pos(x1))
new_compare33(x0, x1, ty_Float)
new_lt16(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs12(EQ, EQ)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs9(EQ, EQ)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_compare15(Float(x0, x1), Float(x2, x3))
new_compare18(x0, x1, False, x2, x3)
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Int)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(x0, x1, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt9(x0, x1)
new_compare28(x0, x1, False, x2, x3)
new_lt7(x0, x1, x2, x3)
new_esEs26(x0, x1, ty_Int)
new_ltEs18(x0, x1, ty_Float)
new_ltEs5(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare7(@0, @0)
new_esEs4(Nothing, Nothing, x0)
new_ltEs18(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Double)
new_esEs13([], [], x0)
new_esEs26(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Bool)
new_compare210(x0, x1, True)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Int)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_compare28(x0, x1, True, x2, x3)
new_esEs32(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs18(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Double)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(Zero, Zero)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_compare12(x0, x1, False, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_ltEs18(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Ordering)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_ltEs8(x0, x1, x2)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare5(Integer(x0), Integer(x1))
new_lt19(x0, x1, x2, x3, x4)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_lt5(x0, x1, x2)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare25(x0, x1, True, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True)
new_esEs31(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Float)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs30(x0, x1, ty_@0)
new_lt16(x0, x1, ty_Bool)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_ltEs21(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_lt16(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs10(x0, x1)
new_esEs30(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, ty_Double)
new_esEs18(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Float)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs29(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare8(x0, x1, x2)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare33(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_compare110(x0, x1, True, x2, x3)
new_compare33(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_@0)
new_ltEs4(x0, x1)
new_esEs19(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, True)
new_esEs27(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_[], x2))
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_lt16(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs19(x0, x1, ty_Ordering)
new_compare110(x0, x1, False, x2, x3)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_primPlusNat0(Zero, x0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(LT, LT)
new_esEs28(x0, x1, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_esEs4(Nothing, Just(x0), x1)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)

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

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

new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu33, Left(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, bc, bd, be) → new_addToFM_C2(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Left(xuu300), new_esEs30(xuu4000, xuu300, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C2(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, False, h, ba, bb) → new_addToFM_C1(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, new_esEs9(new_compare27(Left(xuu19), Left(xuu14), new_esEs29(xuu19, xuu14, h), h, ba), GT), h, ba, bb)
new_addToFM_C10(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu34, Left(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, bc, bd, be) → new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C1(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, h, ba, bb) → new_addToFM_C(xuu18, Left(xuu19), xuu20, h, ba, bb)
new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, bc, bd, be) → new_addToFM_C10(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C2(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, h, ba, bb) → new_addToFM_C(xuu17, Left(xuu19), xuu20, h, ba, bb)

The TRS R consists of the following rules:

new_esEs29(xuu19, xuu14, ty_Integer) → new_esEs17(xuu19, xuu14)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bdh)) → new_esEs4(xuu40000, xuu3000, bdh)
new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_esEs28(xuu40000, xuu3000, app(ty_[], dhg)) → new_esEs13(xuu40000, xuu3000, dhg)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, cfc), cfd)) → new_esEs7(xuu40001, xuu3001, cfc, cfd)
new_ltEs19(xuu4700, xuu4800, app(ty_[], hc)) → new_ltEs8(xuu4700, xuu4800, hc)
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_esEs31(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, ddg), ddh), bch) → new_esEs7(xuu40000, xuu3000, ddg, ddh)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], bee), hb) → new_ltEs8(xuu47000, xuu48000, bee)
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, cbb), cbc)) → new_esEs6(xuu40000, xuu3000, cbb, cbc)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, cfg), cfh), cga)) → new_esEs5(xuu40000, xuu3000, cfg, cfh, cga)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs9(LT, GT) → False
new_esEs9(GT, LT) → False
new_ltEs9(xuu4700, xuu4800, gc) → new_fsEs(new_compare30(xuu4700, xuu4800, gc))
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, cdb)) → new_ltEs9(xuu47002, xuu48002, cdb)
new_esEs13([], [], bbg) → True
new_ltEs12(LT, GT) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, ddf), bch) → new_esEs4(xuu40000, xuu3000, ddf)
new_lt19(xuu47000, xuu48000, de, df, dg) → new_esEs9(new_compare32(xuu47000, xuu48000, de, df, dg), LT)
new_compare110(xuu47000, xuu48000, True, ff, fg) → LT
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_Double) → new_esEs14(xuu19, xuu14)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs30(xuu4000, xuu300, app(ty_[], bbg)) → new_esEs13(xuu4000, xuu300, bbg)
new_esEs4(Nothing, Just(xuu3000), bcf) → False
new_esEs4(Just(xuu40000), Nothing, bcf) → False
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, cgd)) → new_esEs4(xuu40000, xuu3000, cgd)
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_esEs31(xuu4000, xuu300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xuu4000, xuu300, bag, bah, bba)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, hb) → new_ltEs5(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_[], bha)) → new_lt12(xuu47000, xuu48000, bha)
new_ltEs6(True, False) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, dda), ddb), ddc), bch) → new_esEs5(xuu40000, xuu3000, dda, ddb, ddc)
new_esEs20(xuu47000, xuu48000, app(ty_[], bha)) → new_esEs13(xuu47000, xuu48000, bha)
new_compare13(xuu47000, xuu48000, False, de, df, dg) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_ltEs12(LT, LT) → True
new_esEs32(xuu36, xuu31, ty_@0) → new_esEs15(xuu36, xuu31)
new_compare29(xuu47000, xuu48000, bec, bed) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, bec, bed), bec, bed)
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_lt11(xuu47000, xuu48000, bec, bed)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, bch) → new_esEs14(xuu40000, xuu3000)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_esEs4(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_esEs16(xuu47000, xuu48000, bhb)
new_compare25(xuu47000, xuu48000, True, dd) → EQ
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_lt17(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_lt7(xuu47001, xuu48001, cce, ccf)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_compare32(xuu47000, xuu48000, de, df, dg) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs30(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, cfb)) → new_esEs4(xuu40001, xuu3001, cfb)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, dag), dah)) → new_ltEs16(xuu47001, xuu48001, dag, dah)
new_esEs30(xuu4000, xuu300, app(app(ty_Either, bcg), bch)) → new_esEs7(xuu4000, xuu300, bcg, bch)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, gc)) → new_ltEs9(xuu4700, xuu4800, gc)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(app(ty_@3, dec), ded), dee)) → new_esEs5(xuu40000, xuu3000, dec, ded, dee)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(ty_[], gb)) → new_ltEs8(xuu4700, xuu4800, gb)
new_ltEs12(LT, EQ) → True
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs5(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_esEs6(xuu47000, xuu48000, ff, fg)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, dgb)) → new_esEs4(xuu40002, xuu3002, dgb)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), bcd, bce) → new_asAs(new_esEs24(xuu40000, xuu3000, bcd), new_esEs23(xuu40001, xuu3001, bce))
new_esEs32(xuu36, xuu31, ty_Integer) → new_esEs17(xuu36, xuu31)
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, eaa), eab), eac)) → new_esEs5(xuu40000, xuu3000, eaa, eab, eac)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, fa), fb)) → new_ltEs17(xuu47000, xuu48000, fa, fb)
new_esEs32(xuu36, xuu31, app(app(ty_@2, cf), cg)) → new_esEs6(xuu36, xuu31, cf, cg)
new_pePe(False, xuu185) → xuu185
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_esEs7(Left(xuu40000), Right(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Left(xuu3000), bcg, bch) → False
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), gd, ge, gf) → new_pePe(new_lt16(xuu47000, xuu48000, gd), new_asAs(new_esEs20(xuu47000, xuu48000, gd), new_pePe(new_lt17(xuu47001, xuu48001, ge), new_asAs(new_esEs19(xuu47001, xuu48001, ge), new_ltEs20(xuu47002, xuu48002, gf)))))
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, dhe), dhf)) → new_esEs7(xuu40001, xuu3001, dhe, dhf)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Ratio, deb)) → new_esEs16(xuu40000, xuu3000, deb)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_esEs32(xuu36, xuu31, ty_Ordering) → new_esEs9(xuu36, xuu31)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs15(xuu47002, xuu48002, cdd, cde, cdf)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, beg), hb) → new_ltEs7(xuu47000, xuu48000, beg)
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_esEs7(xuu47001, xuu48001, ccg, cch)
new_esEs9(EQ, GT) → False
new_esEs9(GT, EQ) → False
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, dhh)) → new_esEs16(xuu40000, xuu3000, dhh)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_lt7(xuu47000, xuu48000, che, chf)
new_esEs32(xuu36, xuu31, app(ty_Maybe, da)) → new_esEs4(xuu36, xuu31, da)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_lt19(xuu47000, xuu48000, de, df, dg)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs8(xuu4700, xuu4800, gb) → new_fsEs(new_compare0(xuu4700, xuu4800, gb))
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_esEs6(xuu47000, xuu48000, che, chf)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_lt7(xuu47000, xuu48000, ff, fg)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_esEs4(xuu47001, xuu48001, cca)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], ea)) → new_ltEs8(xuu47000, xuu48000, ea)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs18(xuu40000, xuu3000, app(ty_[], cae)) → new_esEs13(xuu40000, xuu3000, cae)
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, cge), cgf)) → new_esEs7(xuu40000, xuu3000, cge, cgf)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, caf)) → new_esEs16(xuu40000, xuu3000, caf)
new_compare0([], [], gb) → EQ
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, cgb), cgc)) → new_esEs6(xuu40000, xuu3000, cgb, cgc)
new_pePe(True, xuu185) → True
new_primEqNat0(Zero, Zero) → True
new_esEs32(xuu36, xuu31, ty_Double) → new_esEs14(xuu36, xuu31)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, bch) → new_esEs9(xuu40000, xuu3000)
new_esEs29(xuu19, xuu14, app(ty_[], bhc)) → new_esEs13(xuu19, xuu14, bhc)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, hb) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, hb) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), ha, hb) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_compare110(xuu47000, xuu48000, False, ff, fg) → GT
new_lt11(xuu47000, xuu48000, bec, bed) → new_esEs9(new_compare29(xuu47000, xuu48000, bec, bed), LT)
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, ha), hb)) → new_ltEs17(xuu4700, xuu4800, ha, hb)
new_compare12(xuu47000, xuu48000, False, dd) → GT
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(xuu40000, xuu3000, cag, cah, cba)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs31(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, bch) → new_esEs10(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ed), ee), ef)) → new_ltEs15(xuu47000, xuu48000, ed, ee, ef)
new_esEs31(xuu4000, xuu300, app(app(ty_Either, bbe), bbf)) → new_esEs7(xuu4000, xuu300, bbe, bbf)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_Either, dfa), dfb)) → new_esEs7(xuu40000, xuu3000, dfa, dfb)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_[], dea)) → new_esEs13(xuu40000, xuu3000, dea)
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs15(xuu4700, xuu4800, hf, hg, hh)
new_esEs29(xuu19, xuu14, ty_Bool) → new_esEs11(xuu19, xuu14)
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_esEs9(EQ, EQ) → True
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_esEs26(xuu40002, xuu3002, app(ty_[], dfc)) → new_esEs13(xuu40002, xuu3002, dfc)
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_esEs31(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(ty_Maybe, bcf)) → new_esEs4(xuu4000, xuu300, bcf)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, eaf)) → new_esEs4(xuu40000, xuu3000, eaf)
new_esEs31(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, hb) → new_ltEs14(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, hd)) → new_ltEs9(xuu4700, xuu4800, hd)
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, ddd), dde), bch) → new_esEs6(xuu40000, xuu3000, ddd, dde)
new_ltEs12(EQ, EQ) → True
new_esEs32(xuu36, xuu31, app(app(app(ty_@3, cc), cd), ce)) → new_esEs5(xuu36, xuu31, cc, cd, ce)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_primCompAux0(xuu199, GT) → GT
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(app(ty_@3, bgb), bgc), bgd)) → new_ltEs15(xuu47000, xuu48000, bgb, bgc, bgd)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, dbf)) → new_compare30(xuu47000, xuu48000, dbf)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, hb) → new_ltEs13(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_lt5(xuu47000, xuu48000, cha)
new_ltEs20(xuu47002, xuu48002, app(ty_[], cda)) → new_ltEs8(xuu47002, xuu48002, cda)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, dgc), dgd)) → new_esEs7(xuu40002, xuu3002, dgc, dgd)
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bea), beb)) → new_esEs7(xuu40000, xuu3000, bea, beb)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, bch) → new_esEs15(xuu40000, xuu3000)
new_compare27(Left(xuu4700), Left(xuu4800), False, fh, ga) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, fh), fh, ga)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_@2, def), deg)) → new_esEs6(xuu40000, xuu3000, def, deg)
new_esEs30(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_esEs4(xuu47000, xuu48000, cha)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_lt19(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs11(False, False) → True
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_compare33(xuu47000, xuu48000, app(ty_[], dbe)) → new_compare0(xuu47000, xuu48000, dbe)
new_compare27(xuu470, xuu480, True, fh, ga) → EQ
new_lt20(xuu47000, xuu48000, app(ty_[], cgg)) → new_lt12(xuu47000, xuu48000, cgg)
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs32(xuu36, xuu31, app(app(ty_Either, db), dc)) → new_esEs7(xuu36, xuu31, db, dc)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, cff)) → new_esEs16(xuu40000, xuu3000, cff)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs15(xuu4700, xuu4800, gd, ge, gf)
new_esEs31(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs6(False, True) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs7(Nothing, Just(xuu48000), dh) → True
new_esEs32(xuu36, xuu31, app(ty_[], ca)) → new_esEs13(xuu36, xuu31, ca)
new_lt17(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_lt11(xuu47001, xuu48001, ccg, cch)
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primCompAux1(xuu47000, xuu48000, xuu186, gb) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, gb))
new_ltEs6(True, True) → True
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_compare7(@0, @0) → EQ
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_esEs6(xuu47001, xuu48001, cce, ccf)
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs5(xuu40000, xuu3000, bdc, bdd, bde)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs29(xuu19, xuu14, ty_Int) → new_esEs10(xuu19, xuu14)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, dbg)) → new_compare8(xuu47000, xuu48000, dbg)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_lt13(xuu47000, xuu48000, bhb) → new_esEs9(new_compare30(xuu47000, xuu48000, bhb), LT)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare16(xuu158, xuu159, True, fc, fd) → LT
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu40001, xuu3001, dgg, dgh, dha)
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, hb) → new_ltEs6(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, bac), bad)) → new_ltEs17(xuu4700, xuu4800, bac, bad)
new_compare26(xuu47000, xuu48000, False, de, df, dg) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_esEs31(xuu4000, xuu300, app(ty_Ratio, baf)) → new_esEs16(xuu4000, xuu300, baf)
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Maybe, bga)) → new_ltEs7(xuu47000, xuu48000, bga)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, dbh), dca), dcb)) → new_compare32(xuu47000, xuu48000, dbh, dca, dcb)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_compare12(xuu47000, xuu48000, True, dd) → LT
new_compare28(xuu47000, xuu48000, True, ff, fg) → EQ
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, bch) → new_esEs17(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bdf), bdg)) → new_esEs6(xuu40000, xuu3000, bdf, bdg)
new_ltEs12(GT, EQ) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, dfd)) → new_esEs16(xuu40002, xuu3002, dfd)
new_esEs24(xuu40000, xuu3000, app(ty_[], cfe)) → new_esEs13(xuu40000, xuu3000, cfe)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_lt13(xuu47000, xuu48000, bhb)
new_compare8(xuu47000, xuu48000, dd) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, dd), dd)
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_esEs31(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs30(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, eag), eah)) → new_esEs7(xuu40000, xuu3000, eag, eah)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_compare24(xuu47000, xuu48000, True) → EQ
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Maybe, deh)) → new_esEs4(xuu40000, xuu3000, deh)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_[], bfg)) → new_ltEs8(xuu47000, xuu48000, bfg)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, dgf)) → new_esEs16(xuu40001, xuu3001, dgf)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, hb) → new_ltEs4(xuu47000, xuu48000)
new_primCompAux0(xuu199, LT) → LT
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_not(False) → True
new_esEs30(xuu4000, xuu300, app(ty_Ratio, bbh)) → new_esEs16(xuu4000, xuu300, bbh)
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_compare27(Right(xuu4700), Left(xuu4800), False, fh, ga) → GT
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ceh), cfa)) → new_esEs6(xuu40001, xuu3001, ceh, cfa)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_esEs9(GT, GT) → True
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_Either, bgg), bgh)) → new_ltEs17(xuu47000, xuu48000, bgg, bgh)
new_esEs31(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_esEs16(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_compare0(:(xuu47000, xuu47001), [], gb) → GT
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), gg, gh) → new_pePe(new_lt20(xuu47000, xuu48000, gg), new_asAs(new_esEs25(xuu47000, xuu48000, gg), new_ltEs21(xuu47001, xuu48001, gh)))
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, dh)) → new_ltEs7(xuu4700, xuu4800, dh)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, dcc), dcd)) → new_compare17(xuu47000, xuu48000, dcc, dcd)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, cbd)) → new_esEs4(xuu40000, xuu3000, cbd)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_@2, bge), bgf)) → new_ltEs16(xuu47000, xuu48000, bge, bgf)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, dad), dae), daf)) → new_ltEs15(xuu47001, xuu48001, dad, dae, daf)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xuu47000, xuu48000, de, df, dg)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, ec)) → new_ltEs7(xuu47000, xuu48000, ec)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, gg), gh)) → new_ltEs16(xuu4700, xuu4800, gg, gh)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, cbe), cbf)) → new_esEs7(xuu40000, xuu3000, cbe, cbf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, dba), dbb)) → new_ltEs17(xuu47001, xuu48001, dba, dbb)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, cea), ceb)) → new_ltEs17(xuu47002, xuu48002, cea, ceb)
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bfe), bff), hb) → new_ltEs17(xuu47000, xuu48000, bfe, bff)
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, dhb), dhc)) → new_esEs6(xuu40001, xuu3001, dhb, dhc)
new_ltEs12(EQ, GT) → True
new_esEs29(xuu19, xuu14, app(app(ty_@2, bhh), caa)) → new_esEs6(xuu19, xuu14, bhh, caa)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, bef), hb) → new_ltEs9(xuu47000, xuu48000, bef)
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, bcf) → True
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, dab)) → new_ltEs9(xuu47001, xuu48001, dab)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, bdb)) → new_esEs16(xuu40000, xuu3000, bdb)
new_compare210(xuu47000, xuu48000, True) → EQ
new_ltEs7(Nothing, Nothing, dh) → True
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, dhd)) → new_esEs4(xuu40001, xuu3001, dhd)
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_lt11(xuu47000, xuu48000, chg, chh)
new_esEs29(xuu19, xuu14, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs5(xuu19, xuu14, bhe, bhf, bhg)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], bda)) → new_esEs13(xuu40000, xuu3000, bda)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_esEs30(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), gb) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, gb), gb)
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_@0) → new_esEs15(xuu19, xuu14)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_compare27(Right(xuu4700), Right(xuu4800), False, fh, ga) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, ga), fh, ga)
new_compare25(xuu47000, xuu48000, False, dd) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, dd), dd)
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_ltEs17(Left(xuu47000), Right(xuu48000), ha, hb) → True
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, ead), eae)) → new_esEs6(xuu40000, xuu3000, ead, eae)
new_esEs30(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_compare18(xuu165, xuu166, True, dbc, dbd) → LT
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, ced)) → new_esEs16(xuu40001, xuu3001, ced)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_esEs7(xuu47000, xuu48000, bec, bed)
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), bbh) → new_asAs(new_esEs22(xuu40000, xuu3000, bbh), new_esEs21(xuu40001, xuu3001, bbh))
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_esEs16(xuu47001, xuu48001, cbh)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, bch) → new_esEs8(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, eg), eh)) → new_ltEs16(xuu47000, xuu48000, eg, eh)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_lt7(xuu47000, xuu48000, ff, fg) → new_esEs9(new_compare17(xuu47000, xuu48000, ff, fg), LT)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs15(@0, @0) → True
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs32(xuu36, xuu31, ty_Bool) → new_esEs11(xuu36, xuu31)
new_asAs(False, xuu153) → False
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs13([], :(xuu3000, xuu3001), bbg) → False
new_esEs13(:(xuu40000, xuu40001), [], bbg) → False
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_esEs32(xuu36, xuu31, app(ty_Ratio, cb)) → new_esEs16(xuu36, xuu31, cb)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], dcg), bch) → new_esEs13(xuu40000, xuu3000, dcg)
new_ltEs12(GT, GT) → True
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_esEs32(xuu36, xuu31, ty_Int) → new_esEs10(xuu36, xuu31)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, app(ty_Ratio, bhd)) → new_esEs16(xuu19, xuu14, bhd)
new_esEs11(True, True) → True
new_compare18(xuu165, xuu166, False, dbc, dbd) → GT
new_esEs29(xuu19, xuu14, ty_Char) → new_esEs8(xuu19, xuu14)
new_compare27(Left(xuu4700), Right(xuu4800), False, fh, ga) → LT
new_esEs25(xuu47000, xuu48000, app(ty_[], cgg)) → new_esEs13(xuu47000, xuu48000, cgg)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, hb) → new_ltEs11(xuu47000, xuu48000)
new_compare28(xuu47000, xuu48000, False, ff, fg) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, ff, fg), ff, fg)
new_esEs31(xuu4000, xuu300, app(ty_[], bae)) → new_esEs13(xuu4000, xuu300, bae)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_lt5(xuu47001, xuu48001, cca)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bfc), bfd), hb) → new_ltEs16(xuu47000, xuu48000, bfc, bfd)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Nothing, dh) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_lt16(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_lt5(xuu47000, xuu48000, dd)
new_compare11(xuu47000, xuu48000, False) → GT
new_esEs30(xuu4000, xuu300, app(app(ty_@2, bcd), bce)) → new_esEs6(xuu4000, xuu300, bcd, bce)
new_ltEs12(EQ, LT) → False
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_compare16(xuu158, xuu159, False, fc, fd) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs9(EQ, LT) → False
new_esEs9(LT, EQ) → False
new_compare33(xuu47000, xuu48000, app(app(ty_Either, dce), dcf)) → new_compare29(xuu47000, xuu48000, dce, dcf)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, dch), bch) → new_esEs16(xuu40000, xuu3000, dch)
new_compare11(xuu47000, xuu48000, True) → LT
new_esEs31(xuu4000, xuu300, app(ty_Maybe, bbd)) → new_esEs4(xuu4000, xuu300, bbd)
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), bbg) → new_asAs(new_esEs18(xuu40000, xuu3000, bbg), new_esEs13(xuu40001, xuu3001, bbg))
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, he)) → new_ltEs7(xuu4700, xuu4800, he)
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_esEs5(xuu47000, xuu48000, chb, chc, chd)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, dac)) → new_ltEs7(xuu47001, xuu48001, dac)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, beh), bfa), bfb), hb) → new_ltEs15(xuu47000, xuu48000, beh, bfa, bfb)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_lt13(xuu47001, xuu48001, cbh)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs29(xuu19, xuu14, app(app(ty_Either, cac), cad)) → new_esEs7(xuu19, xuu14, cac, cad)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), bca, bcb, bcc) → new_asAs(new_esEs28(xuu40000, xuu3000, bca), new_asAs(new_esEs27(xuu40001, xuu3001, bcb), new_esEs26(xuu40002, xuu3002, bcc)))
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_compare26(xuu47000, xuu48000, True, de, df, dg) → EQ
new_compare0([], :(xuu48000, xuu48001), gb) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_esEs32(xuu36, xuu31, ty_Float) → new_esEs12(xuu36, xuu31)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, baa), bab)) → new_ltEs16(xuu4700, xuu4800, baa, bab)
new_esEs31(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_lt19(xuu47000, xuu48000, chb, chc, chd)
new_asAs(True, xuu153) → xuu153
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_ltEs21(xuu47001, xuu48001, app(ty_[], daa)) → new_ltEs8(xuu47001, xuu48001, daa)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs30(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, dfe), dff), dfg)) → new_esEs5(xuu40002, xuu3002, dfe, dff, dfg)
new_esEs27(xuu40001, xuu3001, app(ty_[], dge)) → new_esEs13(xuu40001, xuu3001, dge)
new_esEs29(xuu19, xuu14, ty_Float) → new_esEs12(xuu19, xuu14)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, dfh), dga)) → new_esEs6(xuu40002, xuu3002, dfh, dga)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, cee), cef), ceg)) → new_esEs5(xuu40001, xuu3001, cee, cef, ceg)
new_esEs32(xuu36, xuu31, ty_Char) → new_esEs8(xuu36, xuu31)
new_ltEs6(False, False) → True
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_lt5(xuu47000, xuu48000, dd) → new_esEs9(new_compare8(xuu47000, xuu48000, dd), LT)
new_lt17(xuu47001, xuu48001, app(ty_[], cbg)) → new_lt12(xuu47001, xuu48001, cbg)
new_compare10(xuu47000, xuu48000, True) → LT
new_esEs30(xuu4000, xuu300, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs5(xuu4000, xuu300, bca, bcb, bcc)
new_esEs29(xuu19, xuu14, app(ty_Maybe, cab)) → new_esEs4(xuu19, xuu14, cab)
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(ty_[], cbg)) → new_esEs13(xuu47001, xuu48001, cbg)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs30(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Ratio, bfh)) → new_ltEs9(xuu47000, xuu48000, bfh)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, cdc)) → new_ltEs7(xuu47002, xuu48002, cdc)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, bch) → new_esEs11(xuu40000, xuu3000)
new_compare13(xuu47000, xuu48000, True, de, df, dg) → LT
new_lt20(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_lt13(xuu47000, xuu48000, cgh)
new_compare10(xuu47000, xuu48000, False) → GT
new_esEs9(LT, LT) → True
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, cdg), cdh)) → new_ltEs16(xuu47002, xuu48002, cdg, cdh)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, bch) → new_esEs12(xuu40000, xuu3000)
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_esEs7(xuu47000, xuu48000, chg, chh)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, eb)) → new_ltEs9(xuu47000, xuu48000, eb)
new_esEs31(xuu4000, xuu300, app(app(ty_@2, bbb), bbc)) → new_esEs6(xuu4000, xuu300, bbb, bbc)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs12(GT, LT) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_primCompAux0(xuu199, EQ) → xuu199
new_esEs29(xuu19, xuu14, ty_Ordering) → new_esEs9(xuu19, xuu14)
new_compare17(xuu47000, xuu48000, ff, fg) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ff, fg), ff, fg)
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_esEs23(xuu40001, xuu3001, app(ty_[], cec)) → new_esEs13(xuu40001, xuu3001, cec)
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_not(True) → False
new_lt12(xuu47000, xuu48000, bha) → new_esEs9(new_compare0(xuu47000, xuu48000, bha), LT)

The set Q consists of the following terms:

new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_compare11(x0, x1, False)
new_compare16(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_lt14(x0, x1)
new_esEs32(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Int)
new_esEs19(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare33(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt16(x0, x1, app(ty_Ratio, x2))
new_esEs13([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_ltEs7(Nothing, Nothing, x0)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs25(x0, x1, ty_Double)
new_ltEs12(GT, GT)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_compare26(x0, x1, False, x2, x3, x4)
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Char)
new_compare25(x0, x1, False, x2)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs9(EQ, GT)
new_esEs9(GT, EQ)
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_esEs29(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs7(Nothing, Just(x0), x1)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_compare17(x0, x1, x2, x3)
new_compare18(x0, x1, True, x2, x3)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, x2)
new_lt17(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_lt12(x0, x1, x2)
new_lt16(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_compare29(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs31(x0, x1, ty_Char)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_compare14(Char(x0), Char(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Nothing, x1)
new_esEs9(EQ, LT)
new_esEs9(LT, EQ)
new_compare210(x0, x1, False)
new_esEs23(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt17(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Ordering)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_lt20(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(Char(x0), Char(x1))
new_primPlusNat1(Succ(x0), Zero)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_lt17(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Int)
new_esEs18(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Float)
new_compare19(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_@0)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Bool)
new_primEqNat0(Zero, Succ(x0))
new_ltEs20(x0, x1, ty_Float)
new_compare0([], [], x0)
new_esEs18(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_lt16(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt17(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Zero, Zero)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primMulNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Char)
new_primCompAux0(x0, GT)
new_compare12(x0, x1, True, x2)
new_esEs32(x0, x1, ty_@0)
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare26(x0, x1, True, x2, x3, x4)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_lt16(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs13(:(x0, x1), [], x2)
new_sr0(Integer(x0), Integer(x1))
new_compare27(x0, x1, True, x2, x3)
new_ltEs6(True, False)
new_ltEs6(False, True)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs24(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_lt17(x0, x1, app(ty_[], x2))
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, ty_Char)
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_lt16(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs10(x0, x1)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs9(GT, GT)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_pePe(True, x0)
new_lt18(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_lt17(x0, x1, app(ty_Maybe, x2))
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_primMulInt(Pos(x0), Pos(x1))
new_compare33(x0, x1, ty_Float)
new_lt16(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs12(EQ, EQ)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs9(EQ, EQ)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_compare15(Float(x0, x1), Float(x2, x3))
new_compare18(x0, x1, False, x2, x3)
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Int)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(x0, x1, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt9(x0, x1)
new_compare28(x0, x1, False, x2, x3)
new_lt7(x0, x1, x2, x3)
new_esEs26(x0, x1, ty_Int)
new_ltEs18(x0, x1, ty_Float)
new_ltEs5(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare7(@0, @0)
new_esEs4(Nothing, Nothing, x0)
new_ltEs18(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Double)
new_esEs13([], [], x0)
new_esEs26(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Bool)
new_compare210(x0, x1, True)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Int)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_compare28(x0, x1, True, x2, x3)
new_esEs32(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs18(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Double)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(Zero, Zero)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_compare12(x0, x1, False, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_ltEs18(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Ordering)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_ltEs8(x0, x1, x2)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare5(Integer(x0), Integer(x1))
new_lt19(x0, x1, x2, x3, x4)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_lt5(x0, x1, x2)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare25(x0, x1, True, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True)
new_esEs31(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Float)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs30(x0, x1, ty_@0)
new_lt16(x0, x1, ty_Bool)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_ltEs21(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_lt16(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs10(x0, x1)
new_esEs30(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, ty_Double)
new_esEs18(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Float)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs29(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare8(x0, x1, x2)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare33(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_compare110(x0, x1, True, x2, x3)
new_compare33(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_@0)
new_ltEs4(x0, x1)
new_esEs19(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, True)
new_esEs27(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_[], x2))
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_lt16(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs19(x0, x1, ty_Ordering)
new_compare110(x0, x1, False, x2, x3)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_primPlusNat0(Zero, x0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(LT, LT)
new_esEs28(x0, x1, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_esEs4(Nothing, Just(x0), x1)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)

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

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

new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu33, Left(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, bc, bd, be) → new_addToFM_C2(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Left(xuu300), new_esEs30(xuu4000, xuu300, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C2(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, False, h, ba, bb) → new_addToFM_C1(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, new_esEs9(new_compare27(Left(xuu19), Left(xuu14), new_esEs29(xuu19, xuu14, h), h, ba), GT), h, ba, bb)
new_addToFM_C10(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu34, Left(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, bc, bd, be) → new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C1(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, h, ba, bb) → new_addToFM_C(xuu18, Left(xuu19), xuu20, h, ba, bb)
new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, bc, bd, be) → new_addToFM_C10(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C2(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, h, ba, bb) → new_addToFM_C(xuu17, Left(xuu19), xuu20, h, ba, bb)

The TRS R consists of the following rules:

new_compare27(Left(xuu4700), Right(xuu4800), False, fh, ga) → LT
new_esEs9(LT, GT) → False
new_esEs9(EQ, GT) → False
new_esEs9(GT, GT) → True
new_esEs29(xuu19, xuu14, ty_Integer) → new_esEs17(xuu19, xuu14)
new_esEs29(xuu19, xuu14, ty_Double) → new_esEs14(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(ty_[], bhc)) → new_esEs13(xuu19, xuu14, bhc)
new_esEs29(xuu19, xuu14, ty_Bool) → new_esEs11(xuu19, xuu14)
new_esEs29(xuu19, xuu14, ty_Int) → new_esEs10(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(app(ty_@2, bhh), caa)) → new_esEs6(xuu19, xuu14, bhh, caa)
new_esEs29(xuu19, xuu14, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs5(xuu19, xuu14, bhe, bhf, bhg)
new_esEs29(xuu19, xuu14, ty_@0) → new_esEs15(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(ty_Ratio, bhd)) → new_esEs16(xuu19, xuu14, bhd)
new_esEs29(xuu19, xuu14, ty_Char) → new_esEs8(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(app(ty_Either, cac), cad)) → new_esEs7(xuu19, xuu14, cac, cad)
new_esEs29(xuu19, xuu14, ty_Float) → new_esEs12(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(ty_Maybe, cab)) → new_esEs4(xuu19, xuu14, cab)
new_esEs29(xuu19, xuu14, ty_Ordering) → new_esEs9(xuu19, xuu14)
new_compare27(Left(xuu4700), Left(xuu4800), False, fh, ga) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, fh), fh, ga)
new_compare27(xuu470, xuu480, True, fh, ga) → EQ
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, gc)) → new_ltEs9(xuu4700, xuu4800, gc)
new_ltEs18(xuu4700, xuu4800, app(ty_[], gb)) → new_ltEs8(xuu4700, xuu4800, gb)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, ha), hb)) → new_ltEs17(xuu4700, xuu4800, ha, hb)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs15(xuu4700, xuu4800, gd, ge, gf)
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, dh)) → new_ltEs7(xuu4700, xuu4800, dh)
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, gg), gh)) → new_ltEs16(xuu4700, xuu4800, gg, gh)
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_compare16(xuu158, xuu159, True, fc, fd) → LT
new_compare16(xuu158, xuu159, False, fc, fd) → GT
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_not(False) → True
new_not(True) → False
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs12(LT, GT) → True
new_ltEs12(LT, LT) → True
new_ltEs12(LT, EQ) → True
new_ltEs12(EQ, EQ) → True
new_ltEs12(GT, EQ) → False
new_ltEs12(EQ, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs12(EQ, LT) → False
new_ltEs12(GT, LT) → False
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), gg, gh) → new_pePe(new_lt20(xuu47000, xuu48000, gg), new_asAs(new_esEs25(xuu47000, xuu48000, gg), new_ltEs21(xuu47001, xuu48001, gh)))
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_lt7(xuu47000, xuu48000, che, chf)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_lt5(xuu47000, xuu48000, cha)
new_lt20(xuu47000, xuu48000, app(ty_[], cgg)) → new_lt12(xuu47000, xuu48000, cgg)
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_lt11(xuu47000, xuu48000, chg, chh)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_lt19(xuu47000, xuu48000, chb, chc, chd)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_lt13(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_esEs6(xuu47000, xuu48000, che, chf)
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_esEs4(xuu47000, xuu48000, cha)
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_esEs16(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_[], cgg)) → new_esEs13(xuu47000, xuu48000, cgg)
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_esEs5(xuu47000, xuu48000, chb, chc, chd)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_esEs7(xuu47000, xuu48000, chg, chh)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, dag), dah)) → new_ltEs16(xuu47001, xuu48001, dag, dah)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, dad), dae), daf)) → new_ltEs15(xuu47001, xuu48001, dad, dae, daf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, dba), dbb)) → new_ltEs17(xuu47001, xuu48001, dba, dbb)
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, dab)) → new_ltEs9(xuu47001, xuu48001, dab)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, dac)) → new_ltEs7(xuu47001, xuu48001, dac)
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(ty_[], daa)) → new_ltEs8(xuu47001, xuu48001, daa)
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_asAs(False, xuu153) → False
new_asAs(True, xuu153) → xuu153
new_pePe(False, xuu185) → xuu185
new_pePe(True, xuu185) → True
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_ltEs8(xuu4700, xuu4800, gb) → new_fsEs(new_compare0(xuu4700, xuu4800, gb))
new_compare0([], [], gb) → EQ
new_compare0(:(xuu47000, xuu47001), [], gb) → GT
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), gb) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, gb), gb)
new_compare0([], :(xuu48000, xuu48001), gb) → LT
new_primCompAux1(xuu47000, xuu48000, xuu186, gb) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, gb))
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, dbf)) → new_compare30(xuu47000, xuu48000, dbf)
new_compare33(xuu47000, xuu48000, app(ty_[], dbe)) → new_compare0(xuu47000, xuu48000, dbe)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, dbg)) → new_compare8(xuu47000, xuu48000, dbg)
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, dbh), dca), dcb)) → new_compare32(xuu47000, xuu48000, dbh, dca, dcb)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, dcc), dcd)) → new_compare17(xuu47000, xuu48000, dcc, dcd)
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(app(ty_Either, dce), dcf)) → new_compare29(xuu47000, xuu48000, dce, dcf)
new_primCompAux0(xuu199, GT) → GT
new_primCompAux0(xuu199, LT) → LT
new_primCompAux0(xuu199, EQ) → xuu199
new_compare29(xuu47000, xuu48000, bec, bed) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, bec, bed), bec, bed)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, dda), ddb), ddc), bch) → new_esEs5(xuu40000, xuu3000, dda, ddb, ddc)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, bch) → new_esEs14(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(app(ty_@3, dec), ded), dee)) → new_esEs5(xuu40000, xuu3000, dec, ded, dee)
new_esEs7(Left(xuu40000), Right(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Left(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Ratio, deb)) → new_esEs16(xuu40000, xuu3000, deb)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, bch) → new_esEs9(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, bch) → new_esEs10(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_[], dea)) → new_esEs13(xuu40000, xuu3000, dea)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, ddd), dde), bch) → new_esEs6(xuu40000, xuu3000, ddd, dde)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, bch) → new_esEs15(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_@2, def), deg)) → new_esEs6(xuu40000, xuu3000, def, deg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, bch) → new_esEs17(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, bch) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], dcg), bch) → new_esEs13(xuu40000, xuu3000, dcg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, dch), bch) → new_esEs16(xuu40000, xuu3000, dch)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, bch) → new_esEs11(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, bch) → new_esEs12(xuu40000, xuu3000)
new_compare27(Right(xuu4700), Left(xuu4800), False, fh, ga) → GT
new_compare27(Right(xuu4700), Right(xuu4800), False, fh, ga) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, ga), fh, ga)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, ddg), ddh), bch) → new_esEs7(xuu40000, xuu3000, ddg, ddh)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bea), beb)) → new_esEs7(xuu40000, xuu3000, bea, beb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bdh)) → new_esEs4(xuu40000, xuu3000, bdh)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_Either, dfa), dfb)) → new_esEs7(xuu40000, xuu3000, dfa, dfb)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, ddf), bch) → new_esEs4(xuu40000, xuu3000, ddf)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Maybe, deh)) → new_esEs4(xuu40000, xuu3000, deh)
new_esEs4(Nothing, Just(xuu3000), bcf) → False
new_esEs4(Just(xuu40000), Nothing, bcf) → False
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs5(xuu40000, xuu3000, bdc, bdd, bde)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bdf), bdg)) → new_esEs6(xuu40000, xuu3000, bdf, bdg)
new_esEs4(Nothing, Nothing, bcf) → True
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, bdb)) → new_esEs16(xuu40000, xuu3000, bdb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], bda)) → new_esEs13(xuu40000, xuu3000, bda)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_esEs13([], [], bbg) → True
new_esEs13([], :(xuu3000, xuu3001), bbg) → False
new_esEs13(:(xuu40000, xuu40001), [], bbg) → False
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), bbg) → new_asAs(new_esEs18(xuu40000, xuu3000, bbg), new_esEs13(xuu40001, xuu3001, bbg))
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, cbb), cbc)) → new_esEs6(xuu40000, xuu3000, cbb, cbc)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, app(ty_[], cae)) → new_esEs13(xuu40000, xuu3000, cae)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, caf)) → new_esEs16(xuu40000, xuu3000, caf)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(xuu40000, xuu3000, cag, cah, cba)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, cbd)) → new_esEs4(xuu40000, xuu3000, cbd)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, cbe), cbf)) → new_esEs7(xuu40000, xuu3000, cbe, cbf)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_esEs11(False, False) → True
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_esEs11(True, True) → True
new_esEs9(GT, LT) → False
new_esEs9(GT, EQ) → False
new_esEs9(EQ, EQ) → True
new_esEs9(EQ, LT) → False
new_esEs9(LT, EQ) → False
new_esEs9(LT, LT) → True
new_esEs15(@0, @0) → True
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), bca, bcb, bcc) → new_asAs(new_esEs28(xuu40000, xuu3000, bca), new_asAs(new_esEs27(xuu40001, xuu3001, bcb), new_esEs26(xuu40002, xuu3002, bcc)))
new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(ty_[], dhg)) → new_esEs13(xuu40000, xuu3000, dhg)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, eaa), eab), eac)) → new_esEs5(xuu40000, xuu3000, eaa, eab, eac)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, dhh)) → new_esEs16(xuu40000, xuu3000, dhh)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, eaf)) → new_esEs4(xuu40000, xuu3000, eaf)
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, eag), eah)) → new_esEs7(xuu40000, xuu3000, eag, eah)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, ead), eae)) → new_esEs6(xuu40000, xuu3000, ead, eae)
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, dhe), dhf)) → new_esEs7(xuu40001, xuu3001, dhe, dhf)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu40001, xuu3001, dgg, dgh, dha)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, dgf)) → new_esEs16(xuu40001, xuu3001, dgf)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, dhb), dhc)) → new_esEs6(xuu40001, xuu3001, dhb, dhc)
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, dhd)) → new_esEs4(xuu40001, xuu3001, dhd)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(ty_[], dge)) → new_esEs13(xuu40001, xuu3001, dge)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, dgb)) → new_esEs4(xuu40002, xuu3002, dgb)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_[], dfc)) → new_esEs13(xuu40002, xuu3002, dfc)
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, dgc), dgd)) → new_esEs7(xuu40002, xuu3002, dgc, dgd)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, dfd)) → new_esEs16(xuu40002, xuu3002, dfd)
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, dfe), dff), dfg)) → new_esEs5(xuu40002, xuu3002, dfe, dff, dfg)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, dfh), dga)) → new_esEs6(xuu40002, xuu3002, dfh, dga)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), bcd, bce) → new_asAs(new_esEs24(xuu40000, xuu3000, bcd), new_esEs23(xuu40001, xuu3001, bce))
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, cfg), cfh), cga)) → new_esEs5(xuu40000, xuu3000, cfg, cfh, cga)
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, cgd)) → new_esEs4(xuu40000, xuu3000, cgd)
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, cge), cgf)) → new_esEs7(xuu40000, xuu3000, cge, cgf)
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, cgb), cgc)) → new_esEs6(xuu40000, xuu3000, cgb, cgc)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, cff)) → new_esEs16(xuu40000, xuu3000, cff)
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, app(ty_[], cfe)) → new_esEs13(xuu40000, xuu3000, cfe)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, cfc), cfd)) → new_esEs7(xuu40001, xuu3001, cfc, cfd)
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, cfb)) → new_esEs4(xuu40001, xuu3001, cfb)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ceh), cfa)) → new_esEs6(xuu40001, xuu3001, ceh, cfa)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, ced)) → new_esEs16(xuu40001, xuu3001, ced)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, cee), cef), ceg)) → new_esEs5(xuu40001, xuu3001, cee, cef, ceg)
new_esEs23(xuu40001, xuu3001, app(ty_[], cec)) → new_esEs13(xuu40001, xuu3001, cec)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), bbh) → new_asAs(new_esEs22(xuu40000, xuu3000, bbh), new_esEs21(xuu40001, xuu3001, bbh))
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_[], hc)) → new_ltEs8(xuu4700, xuu4800, hc)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs15(xuu4700, xuu4800, hf, hg, hh)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, hd)) → new_ltEs9(xuu4700, xuu4800, hd)
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, bac), bad)) → new_ltEs17(xuu4700, xuu4800, bac, bad)
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, he)) → new_ltEs7(xuu4700, xuu4800, he)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, baa), bab)) → new_ltEs16(xuu4700, xuu4800, baa, bab)
new_compare18(xuu165, xuu166, True, dbc, dbd) → LT
new_compare18(xuu165, xuu166, False, dbc, dbd) → GT
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], ea)) → new_ltEs8(xuu47000, xuu48000, ea)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ed), ee), ef)) → new_ltEs15(xuu47000, xuu48000, ed, ee, ef)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_ltEs7(Nothing, Just(xuu48000), dh) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_ltEs7(Nothing, Nothing, dh) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, eg), eh)) → new_ltEs16(xuu47000, xuu48000, eg, eh)
new_ltEs7(Just(xuu47000), Nothing, dh) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, eb)) → new_ltEs9(xuu47000, xuu48000, eb)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bfe), bff), hb) → new_ltEs17(xuu47000, xuu48000, bfe, bff)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_Either, bgg), bgh)) → new_ltEs17(xuu47000, xuu48000, bgg, bgh)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, ec)) → new_ltEs7(xuu47000, xuu48000, ec)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, fa), fb)) → new_ltEs17(xuu47000, xuu48000, fa, fb)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Maybe, bga)) → new_ltEs7(xuu47000, xuu48000, bga)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, beg), hb) → new_ltEs7(xuu47000, xuu48000, beg)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], bee), hb) → new_ltEs8(xuu47000, xuu48000, bee)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, hb) → new_ltEs5(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, hb) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, hb) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), ha, hb) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, hb) → new_ltEs14(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(app(ty_@3, bgb), bgc), bgd)) → new_ltEs15(xuu47000, xuu48000, bgb, bgc, bgd)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, hb) → new_ltEs13(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, hb) → new_ltEs6(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_[], bfg)) → new_ltEs8(xuu47000, xuu48000, bfg)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, hb) → new_ltEs4(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_@2, bge), bgf)) → new_ltEs16(xuu47000, xuu48000, bge, bgf)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, bef), hb) → new_ltEs9(xuu47000, xuu48000, bef)
new_ltEs17(Left(xuu47000), Right(xuu48000), ha, hb) → True
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, hb) → new_ltEs11(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bfc), bfd), hb) → new_ltEs16(xuu47000, xuu48000, bfc, bfd)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, beh), bfa), bfb), hb) → new_ltEs15(xuu47000, xuu48000, beh, bfa, bfb)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Ratio, bfh)) → new_ltEs9(xuu47000, xuu48000, bfh)
new_ltEs9(xuu4700, xuu4800, gc) → new_fsEs(new_compare30(xuu4700, xuu4800, gc))
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), gd, ge, gf) → new_pePe(new_lt16(xuu47000, xuu48000, gd), new_asAs(new_esEs20(xuu47000, xuu48000, gd), new_pePe(new_lt17(xuu47001, xuu48001, ge), new_asAs(new_esEs19(xuu47001, xuu48001, ge), new_ltEs20(xuu47002, xuu48002, gf)))))
new_lt16(xuu47000, xuu48000, app(ty_[], bha)) → new_lt12(xuu47000, xuu48000, bha)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_lt11(xuu47000, xuu48000, bec, bed)
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_lt19(xuu47000, xuu48000, de, df, dg)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_lt7(xuu47000, xuu48000, ff, fg)
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_lt13(xuu47000, xuu48000, bhb)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_lt5(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_[], bha)) → new_esEs13(xuu47000, xuu48000, bha)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_esEs4(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_esEs16(xuu47000, xuu48000, bhb)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_esEs6(xuu47000, xuu48000, ff, fg)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xuu47000, xuu48000, de, df, dg)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_esEs7(xuu47000, xuu48000, bec, bed)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_lt7(xuu47001, xuu48001, cce, ccf)
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_lt19(xuu47001, xuu48001, ccb, ccc, ccd)
new_lt17(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_lt11(xuu47001, xuu48001, ccg, cch)
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_lt5(xuu47001, xuu48001, cca)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_lt13(xuu47001, xuu48001, cbh)
new_lt17(xuu47001, xuu48001, app(ty_[], cbg)) → new_lt12(xuu47001, xuu48001, cbg)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs5(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_esEs7(xuu47001, xuu48001, ccg, cch)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_esEs4(xuu47001, xuu48001, cca)
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_esEs6(xuu47001, xuu48001, cce, ccf)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_esEs16(xuu47001, xuu48001, cbh)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(ty_[], cbg)) → new_esEs13(xuu47001, xuu48001, cbg)
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, cdb)) → new_ltEs9(xuu47002, xuu48002, cdb)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs15(xuu47002, xuu48002, cdd, cde, cdf)
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(ty_[], cda)) → new_ltEs8(xuu47002, xuu48002, cda)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, cea), ceb)) → new_ltEs17(xuu47002, xuu48002, cea, ceb)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, cdc)) → new_ltEs7(xuu47002, xuu48002, cdc)
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, cdg), cdh)) → new_ltEs16(xuu47002, xuu48002, cdg, cdh)
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_compare7(@0, @0) → EQ
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_ltEs6(True, False) → False
new_ltEs6(False, True) → True
new_ltEs6(True, True) → True
new_ltEs6(False, False) → True
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_lt12(xuu47000, xuu48000, bha) → new_esEs9(new_compare0(xuu47000, xuu48000, bha), LT)
new_lt13(xuu47000, xuu48000, bhb) → new_esEs9(new_compare30(xuu47000, xuu48000, bhb), LT)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_compare24(xuu47000, xuu48000, True) → EQ
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_compare11(xuu47000, xuu48000, False) → GT
new_compare11(xuu47000, xuu48000, True) → LT
new_lt5(xuu47000, xuu48000, dd) → new_esEs9(new_compare8(xuu47000, xuu48000, dd), LT)
new_compare8(xuu47000, xuu48000, dd) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, dd), dd)
new_compare25(xuu47000, xuu48000, True, dd) → EQ
new_compare25(xuu47000, xuu48000, False, dd) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, dd), dd)
new_compare12(xuu47000, xuu48000, False, dd) → GT
new_compare12(xuu47000, xuu48000, True, dd) → LT
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare210(xuu47000, xuu48000, True) → EQ
new_compare10(xuu47000, xuu48000, True) → LT
new_compare10(xuu47000, xuu48000, False) → GT
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_lt11(xuu47000, xuu48000, bec, bed) → new_esEs9(new_compare29(xuu47000, xuu48000, bec, bed), LT)
new_lt19(xuu47000, xuu48000, de, df, dg) → new_esEs9(new_compare32(xuu47000, xuu48000, de, df, dg), LT)
new_compare32(xuu47000, xuu48000, de, df, dg) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_compare26(xuu47000, xuu48000, False, de, df, dg) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_compare26(xuu47000, xuu48000, True, de, df, dg) → EQ
new_compare13(xuu47000, xuu48000, False, de, df, dg) → GT
new_compare13(xuu47000, xuu48000, True, de, df, dg) → LT
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_lt7(xuu47000, xuu48000, ff, fg) → new_esEs9(new_compare17(xuu47000, xuu48000, ff, fg), LT)
new_compare17(xuu47000, xuu48000, ff, fg) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ff, fg), ff, fg)
new_compare28(xuu47000, xuu48000, True, ff, fg) → EQ
new_compare28(xuu47000, xuu48000, False, ff, fg) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, ff, fg), ff, fg)
new_compare110(xuu47000, xuu48000, True, ff, fg) → LT
new_compare110(xuu47000, xuu48000, False, ff, fg) → GT
new_esEs30(xuu4000, xuu300, app(ty_[], bbg)) → new_esEs13(xuu4000, xuu300, bbg)
new_esEs30(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(app(ty_Either, bcg), bch)) → new_esEs7(xuu4000, xuu300, bcg, bch)
new_esEs30(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(ty_Maybe, bcf)) → new_esEs4(xuu4000, xuu300, bcf)
new_esEs30(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(ty_Ratio, bbh)) → new_esEs16(xuu4000, xuu300, bbh)
new_esEs30(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(app(ty_@2, bcd), bce)) → new_esEs6(xuu4000, xuu300, bcd, bce)
new_esEs30(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs5(xuu4000, xuu300, bca, bcb, bcc)
new_esEs30(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)

The set Q consists of the following terms:

new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_compare11(x0, x1, False)
new_compare16(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_lt14(x0, x1)
new_esEs32(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Int)
new_esEs19(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare33(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt16(x0, x1, app(ty_Ratio, x2))
new_esEs13([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_ltEs7(Nothing, Nothing, x0)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs25(x0, x1, ty_Double)
new_ltEs12(GT, GT)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_compare26(x0, x1, False, x2, x3, x4)
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Char)
new_compare25(x0, x1, False, x2)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs9(EQ, GT)
new_esEs9(GT, EQ)
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_esEs29(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs7(Nothing, Just(x0), x1)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_compare17(x0, x1, x2, x3)
new_compare18(x0, x1, True, x2, x3)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, x2)
new_lt17(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_lt12(x0, x1, x2)
new_lt16(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_compare29(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs31(x0, x1, ty_Char)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_compare14(Char(x0), Char(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Nothing, x1)
new_esEs9(EQ, LT)
new_esEs9(LT, EQ)
new_compare210(x0, x1, False)
new_esEs23(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt17(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Ordering)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_lt20(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(Char(x0), Char(x1))
new_primPlusNat1(Succ(x0), Zero)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_lt17(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Int)
new_esEs18(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Float)
new_compare19(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_@0)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Bool)
new_primEqNat0(Zero, Succ(x0))
new_ltEs20(x0, x1, ty_Float)
new_compare0([], [], x0)
new_esEs18(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_lt16(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt17(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Zero, Zero)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primMulNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Char)
new_primCompAux0(x0, GT)
new_compare12(x0, x1, True, x2)
new_esEs32(x0, x1, ty_@0)
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare26(x0, x1, True, x2, x3, x4)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_lt16(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs13(:(x0, x1), [], x2)
new_sr0(Integer(x0), Integer(x1))
new_compare27(x0, x1, True, x2, x3)
new_ltEs6(True, False)
new_ltEs6(False, True)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs24(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_lt17(x0, x1, app(ty_[], x2))
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, ty_Char)
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_lt16(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs10(x0, x1)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs9(GT, GT)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_pePe(True, x0)
new_lt18(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_lt17(x0, x1, app(ty_Maybe, x2))
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_primMulInt(Pos(x0), Pos(x1))
new_compare33(x0, x1, ty_Float)
new_lt16(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs12(EQ, EQ)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs9(EQ, EQ)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_compare15(Float(x0, x1), Float(x2, x3))
new_compare18(x0, x1, False, x2, x3)
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Int)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(x0, x1, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt9(x0, x1)
new_compare28(x0, x1, False, x2, x3)
new_lt7(x0, x1, x2, x3)
new_esEs26(x0, x1, ty_Int)
new_ltEs18(x0, x1, ty_Float)
new_ltEs5(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare7(@0, @0)
new_esEs4(Nothing, Nothing, x0)
new_ltEs18(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Double)
new_esEs13([], [], x0)
new_esEs26(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Bool)
new_compare210(x0, x1, True)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Int)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_compare28(x0, x1, True, x2, x3)
new_esEs32(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs18(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Double)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(Zero, Zero)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_compare12(x0, x1, False, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_ltEs18(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Ordering)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_ltEs8(x0, x1, x2)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare5(Integer(x0), Integer(x1))
new_lt19(x0, x1, x2, x3, x4)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_lt5(x0, x1, x2)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare25(x0, x1, True, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True)
new_esEs31(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Float)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs30(x0, x1, ty_@0)
new_lt16(x0, x1, ty_Bool)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_ltEs21(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_lt16(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs10(x0, x1)
new_esEs30(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, ty_Double)
new_esEs18(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Float)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs29(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare8(x0, x1, x2)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare33(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_compare110(x0, x1, True, x2, x3)
new_compare33(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_@0)
new_ltEs4(x0, x1)
new_esEs19(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, True)
new_esEs27(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_[], x2))
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_lt16(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs19(x0, x1, ty_Ordering)
new_compare110(x0, x1, False, x2, x3)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_primPlusNat0(Zero, x0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(LT, LT)
new_esEs28(x0, x1, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_esEs4(Nothing, Just(x0), x1)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)

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_esEs32(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Char)
new_esEs32(x0, x1, ty_Int)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Char)
new_esEs31(x0, x1, ty_Bool)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Float)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_Ordering)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Float)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(ty_[], x2))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ 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_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu33, Left(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, bc, bd, be) → new_addToFM_C2(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Left(xuu300), new_esEs30(xuu4000, xuu300, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C2(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, False, h, ba, bb) → new_addToFM_C1(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, new_esEs9(new_compare27(Left(xuu19), Left(xuu14), new_esEs29(xuu19, xuu14, h), h, ba), GT), h, ba, bb)
new_addToFM_C(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, bc, bd, be) → new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C10(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu34, Left(xuu4000), xuu401, bc, bd, be)
new_addToFM_C1(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, h, ba, bb) → new_addToFM_C(xuu18, Left(xuu19), xuu20, h, ba, bb)
new_addToFM_C2(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, h, ba, bb) → new_addToFM_C(xuu17, Left(xuu19), xuu20, h, ba, bb)
new_addToFM_C20(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, bc, bd, be) → new_addToFM_C10(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_compare27(Left(xuu4700), Right(xuu4800), False, fh, ga) → LT
new_esEs9(LT, GT) → False
new_esEs9(EQ, GT) → False
new_esEs9(GT, GT) → True
new_esEs29(xuu19, xuu14, ty_Integer) → new_esEs17(xuu19, xuu14)
new_esEs29(xuu19, xuu14, ty_Double) → new_esEs14(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(ty_[], bhc)) → new_esEs13(xuu19, xuu14, bhc)
new_esEs29(xuu19, xuu14, ty_Bool) → new_esEs11(xuu19, xuu14)
new_esEs29(xuu19, xuu14, ty_Int) → new_esEs10(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(app(ty_@2, bhh), caa)) → new_esEs6(xuu19, xuu14, bhh, caa)
new_esEs29(xuu19, xuu14, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs5(xuu19, xuu14, bhe, bhf, bhg)
new_esEs29(xuu19, xuu14, ty_@0) → new_esEs15(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(ty_Ratio, bhd)) → new_esEs16(xuu19, xuu14, bhd)
new_esEs29(xuu19, xuu14, ty_Char) → new_esEs8(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(app(ty_Either, cac), cad)) → new_esEs7(xuu19, xuu14, cac, cad)
new_esEs29(xuu19, xuu14, ty_Float) → new_esEs12(xuu19, xuu14)
new_esEs29(xuu19, xuu14, app(ty_Maybe, cab)) → new_esEs4(xuu19, xuu14, cab)
new_esEs29(xuu19, xuu14, ty_Ordering) → new_esEs9(xuu19, xuu14)
new_compare27(Left(xuu4700), Left(xuu4800), False, fh, ga) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, fh), fh, ga)
new_compare27(xuu470, xuu480, True, fh, ga) → EQ
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, gc)) → new_ltEs9(xuu4700, xuu4800, gc)
new_ltEs18(xuu4700, xuu4800, app(ty_[], gb)) → new_ltEs8(xuu4700, xuu4800, gb)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, ha), hb)) → new_ltEs17(xuu4700, xuu4800, ha, hb)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs15(xuu4700, xuu4800, gd, ge, gf)
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, dh)) → new_ltEs7(xuu4700, xuu4800, dh)
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, gg), gh)) → new_ltEs16(xuu4700, xuu4800, gg, gh)
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_compare16(xuu158, xuu159, True, fc, fd) → LT
new_compare16(xuu158, xuu159, False, fc, fd) → GT
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_not(False) → True
new_not(True) → False
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs12(LT, GT) → True
new_ltEs12(LT, LT) → True
new_ltEs12(LT, EQ) → True
new_ltEs12(EQ, EQ) → True
new_ltEs12(GT, EQ) → False
new_ltEs12(EQ, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs12(EQ, LT) → False
new_ltEs12(GT, LT) → False
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), gg, gh) → new_pePe(new_lt20(xuu47000, xuu48000, gg), new_asAs(new_esEs25(xuu47000, xuu48000, gg), new_ltEs21(xuu47001, xuu48001, gh)))
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_lt7(xuu47000, xuu48000, che, chf)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_lt5(xuu47000, xuu48000, cha)
new_lt20(xuu47000, xuu48000, app(ty_[], cgg)) → new_lt12(xuu47000, xuu48000, cgg)
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_lt11(xuu47000, xuu48000, chg, chh)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_lt19(xuu47000, xuu48000, chb, chc, chd)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_lt13(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_esEs6(xuu47000, xuu48000, che, chf)
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_esEs4(xuu47000, xuu48000, cha)
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_esEs16(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_[], cgg)) → new_esEs13(xuu47000, xuu48000, cgg)
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_esEs5(xuu47000, xuu48000, chb, chc, chd)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_esEs7(xuu47000, xuu48000, chg, chh)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, dag), dah)) → new_ltEs16(xuu47001, xuu48001, dag, dah)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, dad), dae), daf)) → new_ltEs15(xuu47001, xuu48001, dad, dae, daf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, dba), dbb)) → new_ltEs17(xuu47001, xuu48001, dba, dbb)
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, dab)) → new_ltEs9(xuu47001, xuu48001, dab)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, dac)) → new_ltEs7(xuu47001, xuu48001, dac)
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(ty_[], daa)) → new_ltEs8(xuu47001, xuu48001, daa)
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_asAs(False, xuu153) → False
new_asAs(True, xuu153) → xuu153
new_pePe(False, xuu185) → xuu185
new_pePe(True, xuu185) → True
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_ltEs8(xuu4700, xuu4800, gb) → new_fsEs(new_compare0(xuu4700, xuu4800, gb))
new_compare0([], [], gb) → EQ
new_compare0(:(xuu47000, xuu47001), [], gb) → GT
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), gb) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, gb), gb)
new_compare0([], :(xuu48000, xuu48001), gb) → LT
new_primCompAux1(xuu47000, xuu48000, xuu186, gb) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, gb))
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, dbf)) → new_compare30(xuu47000, xuu48000, dbf)
new_compare33(xuu47000, xuu48000, app(ty_[], dbe)) → new_compare0(xuu47000, xuu48000, dbe)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, dbg)) → new_compare8(xuu47000, xuu48000, dbg)
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, dbh), dca), dcb)) → new_compare32(xuu47000, xuu48000, dbh, dca, dcb)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, dcc), dcd)) → new_compare17(xuu47000, xuu48000, dcc, dcd)
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(app(ty_Either, dce), dcf)) → new_compare29(xuu47000, xuu48000, dce, dcf)
new_primCompAux0(xuu199, GT) → GT
new_primCompAux0(xuu199, LT) → LT
new_primCompAux0(xuu199, EQ) → xuu199
new_compare29(xuu47000, xuu48000, bec, bed) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, bec, bed), bec, bed)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, dda), ddb), ddc), bch) → new_esEs5(xuu40000, xuu3000, dda, ddb, ddc)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, bch) → new_esEs14(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(app(ty_@3, dec), ded), dee)) → new_esEs5(xuu40000, xuu3000, dec, ded, dee)
new_esEs7(Left(xuu40000), Right(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Left(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Ratio, deb)) → new_esEs16(xuu40000, xuu3000, deb)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, bch) → new_esEs9(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, bch) → new_esEs10(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_[], dea)) → new_esEs13(xuu40000, xuu3000, dea)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, ddd), dde), bch) → new_esEs6(xuu40000, xuu3000, ddd, dde)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, bch) → new_esEs15(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_@2, def), deg)) → new_esEs6(xuu40000, xuu3000, def, deg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, bch) → new_esEs17(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, bch) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], dcg), bch) → new_esEs13(xuu40000, xuu3000, dcg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, dch), bch) → new_esEs16(xuu40000, xuu3000, dch)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, bch) → new_esEs11(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, bch) → new_esEs12(xuu40000, xuu3000)
new_compare27(Right(xuu4700), Left(xuu4800), False, fh, ga) → GT
new_compare27(Right(xuu4700), Right(xuu4800), False, fh, ga) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, ga), fh, ga)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, ddg), ddh), bch) → new_esEs7(xuu40000, xuu3000, ddg, ddh)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bea), beb)) → new_esEs7(xuu40000, xuu3000, bea, beb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bdh)) → new_esEs4(xuu40000, xuu3000, bdh)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_Either, dfa), dfb)) → new_esEs7(xuu40000, xuu3000, dfa, dfb)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, ddf), bch) → new_esEs4(xuu40000, xuu3000, ddf)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Maybe, deh)) → new_esEs4(xuu40000, xuu3000, deh)
new_esEs4(Nothing, Just(xuu3000), bcf) → False
new_esEs4(Just(xuu40000), Nothing, bcf) → False
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs5(xuu40000, xuu3000, bdc, bdd, bde)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bdf), bdg)) → new_esEs6(xuu40000, xuu3000, bdf, bdg)
new_esEs4(Nothing, Nothing, bcf) → True
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, bdb)) → new_esEs16(xuu40000, xuu3000, bdb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], bda)) → new_esEs13(xuu40000, xuu3000, bda)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_esEs13([], [], bbg) → True
new_esEs13([], :(xuu3000, xuu3001), bbg) → False
new_esEs13(:(xuu40000, xuu40001), [], bbg) → False
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), bbg) → new_asAs(new_esEs18(xuu40000, xuu3000, bbg), new_esEs13(xuu40001, xuu3001, bbg))
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, cbb), cbc)) → new_esEs6(xuu40000, xuu3000, cbb, cbc)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, app(ty_[], cae)) → new_esEs13(xuu40000, xuu3000, cae)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, caf)) → new_esEs16(xuu40000, xuu3000, caf)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(xuu40000, xuu3000, cag, cah, cba)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, cbd)) → new_esEs4(xuu40000, xuu3000, cbd)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, cbe), cbf)) → new_esEs7(xuu40000, xuu3000, cbe, cbf)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_esEs11(False, False) → True
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_esEs11(True, True) → True
new_esEs9(GT, LT) → False
new_esEs9(GT, EQ) → False
new_esEs9(EQ, EQ) → True
new_esEs9(EQ, LT) → False
new_esEs9(LT, EQ) → False
new_esEs9(LT, LT) → True
new_esEs15(@0, @0) → True
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), bca, bcb, bcc) → new_asAs(new_esEs28(xuu40000, xuu3000, bca), new_asAs(new_esEs27(xuu40001, xuu3001, bcb), new_esEs26(xuu40002, xuu3002, bcc)))
new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(ty_[], dhg)) → new_esEs13(xuu40000, xuu3000, dhg)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, eaa), eab), eac)) → new_esEs5(xuu40000, xuu3000, eaa, eab, eac)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, dhh)) → new_esEs16(xuu40000, xuu3000, dhh)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, eaf)) → new_esEs4(xuu40000, xuu3000, eaf)
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, eag), eah)) → new_esEs7(xuu40000, xuu3000, eag, eah)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, ead), eae)) → new_esEs6(xuu40000, xuu3000, ead, eae)
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, dhe), dhf)) → new_esEs7(xuu40001, xuu3001, dhe, dhf)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu40001, xuu3001, dgg, dgh, dha)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, dgf)) → new_esEs16(xuu40001, xuu3001, dgf)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, dhb), dhc)) → new_esEs6(xuu40001, xuu3001, dhb, dhc)
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, dhd)) → new_esEs4(xuu40001, xuu3001, dhd)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(ty_[], dge)) → new_esEs13(xuu40001, xuu3001, dge)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, dgb)) → new_esEs4(xuu40002, xuu3002, dgb)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_[], dfc)) → new_esEs13(xuu40002, xuu3002, dfc)
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, dgc), dgd)) → new_esEs7(xuu40002, xuu3002, dgc, dgd)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, dfd)) → new_esEs16(xuu40002, xuu3002, dfd)
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, dfe), dff), dfg)) → new_esEs5(xuu40002, xuu3002, dfe, dff, dfg)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, dfh), dga)) → new_esEs6(xuu40002, xuu3002, dfh, dga)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), bcd, bce) → new_asAs(new_esEs24(xuu40000, xuu3000, bcd), new_esEs23(xuu40001, xuu3001, bce))
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, cfg), cfh), cga)) → new_esEs5(xuu40000, xuu3000, cfg, cfh, cga)
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, cgd)) → new_esEs4(xuu40000, xuu3000, cgd)
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, cge), cgf)) → new_esEs7(xuu40000, xuu3000, cge, cgf)
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, cgb), cgc)) → new_esEs6(xuu40000, xuu3000, cgb, cgc)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, cff)) → new_esEs16(xuu40000, xuu3000, cff)
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, app(ty_[], cfe)) → new_esEs13(xuu40000, xuu3000, cfe)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, cfc), cfd)) → new_esEs7(xuu40001, xuu3001, cfc, cfd)
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, cfb)) → new_esEs4(xuu40001, xuu3001, cfb)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ceh), cfa)) → new_esEs6(xuu40001, xuu3001, ceh, cfa)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, ced)) → new_esEs16(xuu40001, xuu3001, ced)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, cee), cef), ceg)) → new_esEs5(xuu40001, xuu3001, cee, cef, ceg)
new_esEs23(xuu40001, xuu3001, app(ty_[], cec)) → new_esEs13(xuu40001, xuu3001, cec)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), bbh) → new_asAs(new_esEs22(xuu40000, xuu3000, bbh), new_esEs21(xuu40001, xuu3001, bbh))
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_[], hc)) → new_ltEs8(xuu4700, xuu4800, hc)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs15(xuu4700, xuu4800, hf, hg, hh)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, hd)) → new_ltEs9(xuu4700, xuu4800, hd)
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, bac), bad)) → new_ltEs17(xuu4700, xuu4800, bac, bad)
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, he)) → new_ltEs7(xuu4700, xuu4800, he)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, baa), bab)) → new_ltEs16(xuu4700, xuu4800, baa, bab)
new_compare18(xuu165, xuu166, True, dbc, dbd) → LT
new_compare18(xuu165, xuu166, False, dbc, dbd) → GT
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], ea)) → new_ltEs8(xuu47000, xuu48000, ea)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ed), ee), ef)) → new_ltEs15(xuu47000, xuu48000, ed, ee, ef)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_ltEs7(Nothing, Just(xuu48000), dh) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_ltEs7(Nothing, Nothing, dh) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, eg), eh)) → new_ltEs16(xuu47000, xuu48000, eg, eh)
new_ltEs7(Just(xuu47000), Nothing, dh) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, eb)) → new_ltEs9(xuu47000, xuu48000, eb)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bfe), bff), hb) → new_ltEs17(xuu47000, xuu48000, bfe, bff)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_Either, bgg), bgh)) → new_ltEs17(xuu47000, xuu48000, bgg, bgh)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, ec)) → new_ltEs7(xuu47000, xuu48000, ec)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, fa), fb)) → new_ltEs17(xuu47000, xuu48000, fa, fb)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Maybe, bga)) → new_ltEs7(xuu47000, xuu48000, bga)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, beg), hb) → new_ltEs7(xuu47000, xuu48000, beg)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], bee), hb) → new_ltEs8(xuu47000, xuu48000, bee)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, hb) → new_ltEs5(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, hb) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, hb) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), ha, hb) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, hb) → new_ltEs14(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(app(ty_@3, bgb), bgc), bgd)) → new_ltEs15(xuu47000, xuu48000, bgb, bgc, bgd)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, hb) → new_ltEs13(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, hb) → new_ltEs6(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_[], bfg)) → new_ltEs8(xuu47000, xuu48000, bfg)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, hb) → new_ltEs4(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_@2, bge), bgf)) → new_ltEs16(xuu47000, xuu48000, bge, bgf)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, bef), hb) → new_ltEs9(xuu47000, xuu48000, bef)
new_ltEs17(Left(xuu47000), Right(xuu48000), ha, hb) → True
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, hb) → new_ltEs11(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bfc), bfd), hb) → new_ltEs16(xuu47000, xuu48000, bfc, bfd)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, beh), bfa), bfb), hb) → new_ltEs15(xuu47000, xuu48000, beh, bfa, bfb)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Ratio, bfh)) → new_ltEs9(xuu47000, xuu48000, bfh)
new_ltEs9(xuu4700, xuu4800, gc) → new_fsEs(new_compare30(xuu4700, xuu4800, gc))
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), gd, ge, gf) → new_pePe(new_lt16(xuu47000, xuu48000, gd), new_asAs(new_esEs20(xuu47000, xuu48000, gd), new_pePe(new_lt17(xuu47001, xuu48001, ge), new_asAs(new_esEs19(xuu47001, xuu48001, ge), new_ltEs20(xuu47002, xuu48002, gf)))))
new_lt16(xuu47000, xuu48000, app(ty_[], bha)) → new_lt12(xuu47000, xuu48000, bha)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_lt11(xuu47000, xuu48000, bec, bed)
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_lt19(xuu47000, xuu48000, de, df, dg)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_lt7(xuu47000, xuu48000, ff, fg)
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_lt13(xuu47000, xuu48000, bhb)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_lt5(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_[], bha)) → new_esEs13(xuu47000, xuu48000, bha)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_esEs4(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_esEs16(xuu47000, xuu48000, bhb)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_esEs6(xuu47000, xuu48000, ff, fg)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xuu47000, xuu48000, de, df, dg)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_esEs7(xuu47000, xuu48000, bec, bed)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_lt7(xuu47001, xuu48001, cce, ccf)
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_lt19(xuu47001, xuu48001, ccb, ccc, ccd)
new_lt17(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_lt11(xuu47001, xuu48001, ccg, cch)
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_lt5(xuu47001, xuu48001, cca)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_lt13(xuu47001, xuu48001, cbh)
new_lt17(xuu47001, xuu48001, app(ty_[], cbg)) → new_lt12(xuu47001, xuu48001, cbg)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs5(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_esEs7(xuu47001, xuu48001, ccg, cch)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_esEs4(xuu47001, xuu48001, cca)
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_esEs6(xuu47001, xuu48001, cce, ccf)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_esEs16(xuu47001, xuu48001, cbh)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(ty_[], cbg)) → new_esEs13(xuu47001, xuu48001, cbg)
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, cdb)) → new_ltEs9(xuu47002, xuu48002, cdb)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs15(xuu47002, xuu48002, cdd, cde, cdf)
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(ty_[], cda)) → new_ltEs8(xuu47002, xuu48002, cda)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, cea), ceb)) → new_ltEs17(xuu47002, xuu48002, cea, ceb)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, cdc)) → new_ltEs7(xuu47002, xuu48002, cdc)
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, cdg), cdh)) → new_ltEs16(xuu47002, xuu48002, cdg, cdh)
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_compare7(@0, @0) → EQ
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_ltEs6(True, False) → False
new_ltEs6(False, True) → True
new_ltEs6(True, True) → True
new_ltEs6(False, False) → True
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_lt12(xuu47000, xuu48000, bha) → new_esEs9(new_compare0(xuu47000, xuu48000, bha), LT)
new_lt13(xuu47000, xuu48000, bhb) → new_esEs9(new_compare30(xuu47000, xuu48000, bhb), LT)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_compare24(xuu47000, xuu48000, True) → EQ
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_compare11(xuu47000, xuu48000, False) → GT
new_compare11(xuu47000, xuu48000, True) → LT
new_lt5(xuu47000, xuu48000, dd) → new_esEs9(new_compare8(xuu47000, xuu48000, dd), LT)
new_compare8(xuu47000, xuu48000, dd) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, dd), dd)
new_compare25(xuu47000, xuu48000, True, dd) → EQ
new_compare25(xuu47000, xuu48000, False, dd) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, dd), dd)
new_compare12(xuu47000, xuu48000, False, dd) → GT
new_compare12(xuu47000, xuu48000, True, dd) → LT
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare210(xuu47000, xuu48000, True) → EQ
new_compare10(xuu47000, xuu48000, True) → LT
new_compare10(xuu47000, xuu48000, False) → GT
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_lt11(xuu47000, xuu48000, bec, bed) → new_esEs9(new_compare29(xuu47000, xuu48000, bec, bed), LT)
new_lt19(xuu47000, xuu48000, de, df, dg) → new_esEs9(new_compare32(xuu47000, xuu48000, de, df, dg), LT)
new_compare32(xuu47000, xuu48000, de, df, dg) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_compare26(xuu47000, xuu48000, False, de, df, dg) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_compare26(xuu47000, xuu48000, True, de, df, dg) → EQ
new_compare13(xuu47000, xuu48000, False, de, df, dg) → GT
new_compare13(xuu47000, xuu48000, True, de, df, dg) → LT
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_lt7(xuu47000, xuu48000, ff, fg) → new_esEs9(new_compare17(xuu47000, xuu48000, ff, fg), LT)
new_compare17(xuu47000, xuu48000, ff, fg) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ff, fg), ff, fg)
new_compare28(xuu47000, xuu48000, True, ff, fg) → EQ
new_compare28(xuu47000, xuu48000, False, ff, fg) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, ff, fg), ff, fg)
new_compare110(xuu47000, xuu48000, True, ff, fg) → LT
new_compare110(xuu47000, xuu48000, False, ff, fg) → GT
new_esEs30(xuu4000, xuu300, app(ty_[], bbg)) → new_esEs13(xuu4000, xuu300, bbg)
new_esEs30(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(app(ty_Either, bcg), bch)) → new_esEs7(xuu4000, xuu300, bcg, bch)
new_esEs30(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(ty_Maybe, bcf)) → new_esEs4(xuu4000, xuu300, bcf)
new_esEs30(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(ty_Ratio, bbh)) → new_esEs16(xuu4000, xuu300, bbh)
new_esEs30(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(app(ty_@2, bcd), bce)) → new_esEs6(xuu4000, xuu300, bcd, bce)
new_esEs30(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs5(xuu4000, xuu300, bca, bcb, bcc)
new_esEs30(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)

The set Q consists of the following terms:

new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_compare11(x0, x1, False)
new_compare16(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_lt14(x0, x1)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Int)
new_esEs19(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare33(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt16(x0, x1, app(ty_Ratio, x2))
new_esEs13([], :(x0, x1), x2)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_ltEs7(Nothing, Nothing, x0)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs29(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs25(x0, x1, ty_Double)
new_ltEs12(GT, GT)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2, x3, x4)
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Char)
new_compare25(x0, x1, False, x2)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs9(EQ, GT)
new_esEs9(GT, EQ)
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_esEs29(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs7(Nothing, Just(x0), x1)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_compare17(x0, x1, x2, x3)
new_compare18(x0, x1, True, x2, x3)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, x2)
new_lt17(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_lt12(x0, x1, x2)
new_lt16(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_compare29(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_compare14(Char(x0), Char(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs7(Just(x0), Nothing, x1)
new_esEs9(EQ, LT)
new_esEs9(LT, EQ)
new_compare210(x0, x1, False)
new_esEs23(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt17(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Ordering)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_lt20(x0, x1, ty_Ordering)
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(Char(x0), Char(x1))
new_primPlusNat1(Succ(x0), Zero)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_lt17(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Int)
new_esEs18(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Float)
new_compare19(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_@0)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Bool)
new_primEqNat0(Zero, Succ(x0))
new_ltEs20(x0, x1, ty_Float)
new_compare0([], [], x0)
new_esEs18(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_lt16(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt17(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Zero, Zero)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primMulNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Char)
new_primCompAux0(x0, GT)
new_compare12(x0, x1, True, x2)
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare26(x0, x1, True, x2, x3, x4)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_lt16(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs13(:(x0, x1), [], x2)
new_sr0(Integer(x0), Integer(x1))
new_compare27(x0, x1, True, x2, x3)
new_ltEs6(True, False)
new_ltEs6(False, True)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs24(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_lt17(x0, x1, app(ty_[], x2))
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, ty_Char)
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_lt16(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs9(GT, GT)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_pePe(True, x0)
new_lt18(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_lt17(x0, x1, app(ty_Maybe, x2))
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_primMulInt(Pos(x0), Pos(x1))
new_compare33(x0, x1, ty_Float)
new_lt16(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs12(EQ, EQ)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs9(EQ, EQ)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_compare15(Float(x0, x1), Float(x2, x3))
new_compare18(x0, x1, False, x2, x3)
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Int)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(x0, x1, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt9(x0, x1)
new_compare28(x0, x1, False, x2, x3)
new_lt7(x0, x1, x2, x3)
new_esEs26(x0, x1, ty_Int)
new_ltEs18(x0, x1, ty_Float)
new_ltEs5(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare7(@0, @0)
new_esEs4(Nothing, Nothing, x0)
new_ltEs18(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Double)
new_esEs13([], [], x0)
new_esEs26(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Bool)
new_compare210(x0, x1, True)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Int)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_compare28(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs18(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, ty_Double)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(Zero, Zero)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_compare12(x0, x1, False, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_ltEs18(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_ltEs8(x0, x1, x2)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare5(Integer(x0), Integer(x1))
new_lt19(x0, x1, x2, x3, x4)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_lt5(x0, x1, x2)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare25(x0, x1, True, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True)
new_esEs27(x0, x1, ty_Double)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs30(x0, x1, ty_@0)
new_lt16(x0, x1, ty_Bool)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_ltEs21(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_lt16(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs10(x0, x1)
new_esEs30(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, ty_Double)
new_esEs18(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Float)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs29(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare8(x0, x1, x2)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare33(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_compare110(x0, x1, True, x2, x3)
new_compare33(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_@0)
new_ltEs4(x0, x1)
new_esEs19(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, True)
new_esEs27(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_[], x2))
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, ty_Ordering)
new_esEs19(x0, x1, ty_Float)
new_lt16(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs19(x0, x1, ty_Ordering)
new_compare110(x0, x1, False, x2, x3)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_primPlusNat0(Zero, x0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(LT, LT)
new_esEs28(x0, x1, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_esEs4(Nothing, Just(x0), x1)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)

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

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

new_addToFM_C12(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bf, bg, bh) → new_addToFM_C(xuu35, Right(xuu36), xuu37, bf, bg, bh)
new_addToFM_C(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, bc, bd, be) → new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C11(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu34, Right(xuu4000), xuu401, bc, bd, be)
new_addToFM_C22(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bf, bg, bh) → new_addToFM_C(xuu34, Right(xuu36), xuu37, bf, bg, bh)
new_addToFM_C22(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, False, bf, bg, bh) → new_addToFM_C12(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, new_esEs9(new_compare27(Right(xuu36), Right(xuu31), new_esEs32(xuu36, xuu31, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, bc, bd, be) → new_addToFM_C11(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu33, Right(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, bc, bd, be) → new_addToFM_C22(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Right(xuu300), new_esEs31(xuu4000, xuu300, bd), bc, bd), LT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs29(xuu19, xuu14, ty_Integer) → new_esEs17(xuu19, xuu14)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bdh)) → new_esEs4(xuu40000, xuu3000, bdh)
new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_esEs28(xuu40000, xuu3000, app(ty_[], dhg)) → new_esEs13(xuu40000, xuu3000, dhg)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, cfc), cfd)) → new_esEs7(xuu40001, xuu3001, cfc, cfd)
new_ltEs19(xuu4700, xuu4800, app(ty_[], hc)) → new_ltEs8(xuu4700, xuu4800, hc)
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_esEs31(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, ddg), ddh), bch) → new_esEs7(xuu40000, xuu3000, ddg, ddh)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], bee), hb) → new_ltEs8(xuu47000, xuu48000, bee)
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, cbb), cbc)) → new_esEs6(xuu40000, xuu3000, cbb, cbc)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, cfg), cfh), cga)) → new_esEs5(xuu40000, xuu3000, cfg, cfh, cga)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs9(LT, GT) → False
new_esEs9(GT, LT) → False
new_ltEs9(xuu4700, xuu4800, gc) → new_fsEs(new_compare30(xuu4700, xuu4800, gc))
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, cdb)) → new_ltEs9(xuu47002, xuu48002, cdb)
new_esEs13([], [], bbg) → True
new_ltEs12(LT, GT) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, ddf), bch) → new_esEs4(xuu40000, xuu3000, ddf)
new_lt19(xuu47000, xuu48000, de, df, dg) → new_esEs9(new_compare32(xuu47000, xuu48000, de, df, dg), LT)
new_compare110(xuu47000, xuu48000, True, ff, fg) → LT
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_Double) → new_esEs14(xuu19, xuu14)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs30(xuu4000, xuu300, app(ty_[], bbg)) → new_esEs13(xuu4000, xuu300, bbg)
new_esEs4(Nothing, Just(xuu3000), bcf) → False
new_esEs4(Just(xuu40000), Nothing, bcf) → False
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, cgd)) → new_esEs4(xuu40000, xuu3000, cgd)
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_esEs31(xuu4000, xuu300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xuu4000, xuu300, bag, bah, bba)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, hb) → new_ltEs5(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_[], bha)) → new_lt12(xuu47000, xuu48000, bha)
new_ltEs6(True, False) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, dda), ddb), ddc), bch) → new_esEs5(xuu40000, xuu3000, dda, ddb, ddc)
new_esEs20(xuu47000, xuu48000, app(ty_[], bha)) → new_esEs13(xuu47000, xuu48000, bha)
new_compare13(xuu47000, xuu48000, False, de, df, dg) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_ltEs12(LT, LT) → True
new_esEs32(xuu36, xuu31, ty_@0) → new_esEs15(xuu36, xuu31)
new_compare29(xuu47000, xuu48000, bec, bed) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, bec, bed), bec, bed)
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_lt11(xuu47000, xuu48000, bec, bed)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, bch) → new_esEs14(xuu40000, xuu3000)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_esEs4(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_esEs16(xuu47000, xuu48000, bhb)
new_compare25(xuu47000, xuu48000, True, dd) → EQ
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_lt17(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_lt7(xuu47001, xuu48001, cce, ccf)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_compare32(xuu47000, xuu48000, de, df, dg) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs30(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, cfb)) → new_esEs4(xuu40001, xuu3001, cfb)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, dag), dah)) → new_ltEs16(xuu47001, xuu48001, dag, dah)
new_esEs30(xuu4000, xuu300, app(app(ty_Either, bcg), bch)) → new_esEs7(xuu4000, xuu300, bcg, bch)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, gc)) → new_ltEs9(xuu4700, xuu4800, gc)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(app(ty_@3, dec), ded), dee)) → new_esEs5(xuu40000, xuu3000, dec, ded, dee)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(ty_[], gb)) → new_ltEs8(xuu4700, xuu4800, gb)
new_ltEs12(LT, EQ) → True
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs5(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_esEs6(xuu47000, xuu48000, ff, fg)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, dgb)) → new_esEs4(xuu40002, xuu3002, dgb)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), bcd, bce) → new_asAs(new_esEs24(xuu40000, xuu3000, bcd), new_esEs23(xuu40001, xuu3001, bce))
new_esEs32(xuu36, xuu31, ty_Integer) → new_esEs17(xuu36, xuu31)
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, eaa), eab), eac)) → new_esEs5(xuu40000, xuu3000, eaa, eab, eac)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, fa), fb)) → new_ltEs17(xuu47000, xuu48000, fa, fb)
new_esEs32(xuu36, xuu31, app(app(ty_@2, cf), cg)) → new_esEs6(xuu36, xuu31, cf, cg)
new_pePe(False, xuu185) → xuu185
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_esEs7(Left(xuu40000), Right(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Left(xuu3000), bcg, bch) → False
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), gd, ge, gf) → new_pePe(new_lt16(xuu47000, xuu48000, gd), new_asAs(new_esEs20(xuu47000, xuu48000, gd), new_pePe(new_lt17(xuu47001, xuu48001, ge), new_asAs(new_esEs19(xuu47001, xuu48001, ge), new_ltEs20(xuu47002, xuu48002, gf)))))
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, dhe), dhf)) → new_esEs7(xuu40001, xuu3001, dhe, dhf)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Ratio, deb)) → new_esEs16(xuu40000, xuu3000, deb)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_esEs32(xuu36, xuu31, ty_Ordering) → new_esEs9(xuu36, xuu31)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs15(xuu47002, xuu48002, cdd, cde, cdf)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, beg), hb) → new_ltEs7(xuu47000, xuu48000, beg)
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_esEs7(xuu47001, xuu48001, ccg, cch)
new_esEs9(EQ, GT) → False
new_esEs9(GT, EQ) → False
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, dhh)) → new_esEs16(xuu40000, xuu3000, dhh)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_lt7(xuu47000, xuu48000, che, chf)
new_esEs32(xuu36, xuu31, app(ty_Maybe, da)) → new_esEs4(xuu36, xuu31, da)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_lt19(xuu47000, xuu48000, de, df, dg)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs8(xuu4700, xuu4800, gb) → new_fsEs(new_compare0(xuu4700, xuu4800, gb))
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_esEs6(xuu47000, xuu48000, che, chf)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_lt7(xuu47000, xuu48000, ff, fg)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_esEs4(xuu47001, xuu48001, cca)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], ea)) → new_ltEs8(xuu47000, xuu48000, ea)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs18(xuu40000, xuu3000, app(ty_[], cae)) → new_esEs13(xuu40000, xuu3000, cae)
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, cge), cgf)) → new_esEs7(xuu40000, xuu3000, cge, cgf)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, caf)) → new_esEs16(xuu40000, xuu3000, caf)
new_compare0([], [], gb) → EQ
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, cgb), cgc)) → new_esEs6(xuu40000, xuu3000, cgb, cgc)
new_pePe(True, xuu185) → True
new_primEqNat0(Zero, Zero) → True
new_esEs32(xuu36, xuu31, ty_Double) → new_esEs14(xuu36, xuu31)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, bch) → new_esEs9(xuu40000, xuu3000)
new_esEs29(xuu19, xuu14, app(ty_[], bhc)) → new_esEs13(xuu19, xuu14, bhc)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, hb) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, hb) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), ha, hb) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_compare110(xuu47000, xuu48000, False, ff, fg) → GT
new_lt11(xuu47000, xuu48000, bec, bed) → new_esEs9(new_compare29(xuu47000, xuu48000, bec, bed), LT)
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, ha), hb)) → new_ltEs17(xuu4700, xuu4800, ha, hb)
new_compare12(xuu47000, xuu48000, False, dd) → GT
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(xuu40000, xuu3000, cag, cah, cba)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs31(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, bch) → new_esEs10(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ed), ee), ef)) → new_ltEs15(xuu47000, xuu48000, ed, ee, ef)
new_esEs31(xuu4000, xuu300, app(app(ty_Either, bbe), bbf)) → new_esEs7(xuu4000, xuu300, bbe, bbf)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_Either, dfa), dfb)) → new_esEs7(xuu40000, xuu3000, dfa, dfb)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_[], dea)) → new_esEs13(xuu40000, xuu3000, dea)
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs15(xuu4700, xuu4800, hf, hg, hh)
new_esEs29(xuu19, xuu14, ty_Bool) → new_esEs11(xuu19, xuu14)
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_esEs9(EQ, EQ) → True
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_esEs26(xuu40002, xuu3002, app(ty_[], dfc)) → new_esEs13(xuu40002, xuu3002, dfc)
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_esEs31(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs30(xuu4000, xuu300, app(ty_Maybe, bcf)) → new_esEs4(xuu4000, xuu300, bcf)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, eaf)) → new_esEs4(xuu40000, xuu3000, eaf)
new_esEs31(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, hb) → new_ltEs14(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, hd)) → new_ltEs9(xuu4700, xuu4800, hd)
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, ddd), dde), bch) → new_esEs6(xuu40000, xuu3000, ddd, dde)
new_ltEs12(EQ, EQ) → True
new_esEs32(xuu36, xuu31, app(app(app(ty_@3, cc), cd), ce)) → new_esEs5(xuu36, xuu31, cc, cd, ce)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_primCompAux0(xuu199, GT) → GT
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(app(ty_@3, bgb), bgc), bgd)) → new_ltEs15(xuu47000, xuu48000, bgb, bgc, bgd)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, dbf)) → new_compare30(xuu47000, xuu48000, dbf)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, hb) → new_ltEs13(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_lt5(xuu47000, xuu48000, cha)
new_ltEs20(xuu47002, xuu48002, app(ty_[], cda)) → new_ltEs8(xuu47002, xuu48002, cda)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, dgc), dgd)) → new_esEs7(xuu40002, xuu3002, dgc, dgd)
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bea), beb)) → new_esEs7(xuu40000, xuu3000, bea, beb)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, bch) → new_esEs15(xuu40000, xuu3000)
new_compare27(Left(xuu4700), Left(xuu4800), False, fh, ga) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, fh), fh, ga)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_@2, def), deg)) → new_esEs6(xuu40000, xuu3000, def, deg)
new_esEs30(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_esEs4(xuu47000, xuu48000, cha)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_lt19(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs11(False, False) → True
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_compare33(xuu47000, xuu48000, app(ty_[], dbe)) → new_compare0(xuu47000, xuu48000, dbe)
new_compare27(xuu470, xuu480, True, fh, ga) → EQ
new_lt20(xuu47000, xuu48000, app(ty_[], cgg)) → new_lt12(xuu47000, xuu48000, cgg)
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs32(xuu36, xuu31, app(app(ty_Either, db), dc)) → new_esEs7(xuu36, xuu31, db, dc)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, cff)) → new_esEs16(xuu40000, xuu3000, cff)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs15(xuu4700, xuu4800, gd, ge, gf)
new_esEs31(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs6(False, True) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs7(Nothing, Just(xuu48000), dh) → True
new_esEs32(xuu36, xuu31, app(ty_[], ca)) → new_esEs13(xuu36, xuu31, ca)
new_lt17(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_lt11(xuu47001, xuu48001, ccg, cch)
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primCompAux1(xuu47000, xuu48000, xuu186, gb) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, gb))
new_ltEs6(True, True) → True
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_compare7(@0, @0) → EQ
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_esEs6(xuu47001, xuu48001, cce, ccf)
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs5(xuu40000, xuu3000, bdc, bdd, bde)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs29(xuu19, xuu14, ty_Int) → new_esEs10(xuu19, xuu14)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, dbg)) → new_compare8(xuu47000, xuu48000, dbg)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_lt13(xuu47000, xuu48000, bhb) → new_esEs9(new_compare30(xuu47000, xuu48000, bhb), LT)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare16(xuu158, xuu159, True, fc, fd) → LT
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu40001, xuu3001, dgg, dgh, dha)
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, hb) → new_ltEs6(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, bac), bad)) → new_ltEs17(xuu4700, xuu4800, bac, bad)
new_compare26(xuu47000, xuu48000, False, de, df, dg) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_esEs31(xuu4000, xuu300, app(ty_Ratio, baf)) → new_esEs16(xuu4000, xuu300, baf)
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Maybe, bga)) → new_ltEs7(xuu47000, xuu48000, bga)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, dbh), dca), dcb)) → new_compare32(xuu47000, xuu48000, dbh, dca, dcb)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_compare12(xuu47000, xuu48000, True, dd) → LT
new_compare28(xuu47000, xuu48000, True, ff, fg) → EQ
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, bch) → new_esEs17(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bdf), bdg)) → new_esEs6(xuu40000, xuu3000, bdf, bdg)
new_ltEs12(GT, EQ) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, dfd)) → new_esEs16(xuu40002, xuu3002, dfd)
new_esEs24(xuu40000, xuu3000, app(ty_[], cfe)) → new_esEs13(xuu40000, xuu3000, cfe)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_lt13(xuu47000, xuu48000, bhb)
new_compare8(xuu47000, xuu48000, dd) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, dd), dd)
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_esEs31(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs30(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, eag), eah)) → new_esEs7(xuu40000, xuu3000, eag, eah)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_compare24(xuu47000, xuu48000, True) → EQ
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Maybe, deh)) → new_esEs4(xuu40000, xuu3000, deh)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_[], bfg)) → new_ltEs8(xuu47000, xuu48000, bfg)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, dgf)) → new_esEs16(xuu40001, xuu3001, dgf)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, hb) → new_ltEs4(xuu47000, xuu48000)
new_primCompAux0(xuu199, LT) → LT
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_not(False) → True
new_esEs30(xuu4000, xuu300, app(ty_Ratio, bbh)) → new_esEs16(xuu4000, xuu300, bbh)
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_compare27(Right(xuu4700), Left(xuu4800), False, fh, ga) → GT
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ceh), cfa)) → new_esEs6(xuu40001, xuu3001, ceh, cfa)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_esEs9(GT, GT) → True
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_Either, bgg), bgh)) → new_ltEs17(xuu47000, xuu48000, bgg, bgh)
new_esEs31(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_esEs16(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_compare0(:(xuu47000, xuu47001), [], gb) → GT
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), gg, gh) → new_pePe(new_lt20(xuu47000, xuu48000, gg), new_asAs(new_esEs25(xuu47000, xuu48000, gg), new_ltEs21(xuu47001, xuu48001, gh)))
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, dh)) → new_ltEs7(xuu4700, xuu4800, dh)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, dcc), dcd)) → new_compare17(xuu47000, xuu48000, dcc, dcd)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, cbd)) → new_esEs4(xuu40000, xuu3000, cbd)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_@2, bge), bgf)) → new_ltEs16(xuu47000, xuu48000, bge, bgf)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, dad), dae), daf)) → new_ltEs15(xuu47001, xuu48001, dad, dae, daf)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xuu47000, xuu48000, de, df, dg)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, ec)) → new_ltEs7(xuu47000, xuu48000, ec)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, gg), gh)) → new_ltEs16(xuu4700, xuu4800, gg, gh)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, cbe), cbf)) → new_esEs7(xuu40000, xuu3000, cbe, cbf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, dba), dbb)) → new_ltEs17(xuu47001, xuu48001, dba, dbb)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, cea), ceb)) → new_ltEs17(xuu47002, xuu48002, cea, ceb)
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bfe), bff), hb) → new_ltEs17(xuu47000, xuu48000, bfe, bff)
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, dhb), dhc)) → new_esEs6(xuu40001, xuu3001, dhb, dhc)
new_ltEs12(EQ, GT) → True
new_esEs29(xuu19, xuu14, app(app(ty_@2, bhh), caa)) → new_esEs6(xuu19, xuu14, bhh, caa)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, bef), hb) → new_ltEs9(xuu47000, xuu48000, bef)
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, bcf) → True
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, dab)) → new_ltEs9(xuu47001, xuu48001, dab)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, bdb)) → new_esEs16(xuu40000, xuu3000, bdb)
new_compare210(xuu47000, xuu48000, True) → EQ
new_ltEs7(Nothing, Nothing, dh) → True
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, dhd)) → new_esEs4(xuu40001, xuu3001, dhd)
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_lt11(xuu47000, xuu48000, chg, chh)
new_esEs29(xuu19, xuu14, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs5(xuu19, xuu14, bhe, bhf, bhg)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], bda)) → new_esEs13(xuu40000, xuu3000, bda)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_esEs30(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), gb) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, gb), gb)
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_@0) → new_esEs15(xuu19, xuu14)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_compare27(Right(xuu4700), Right(xuu4800), False, fh, ga) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, ga), fh, ga)
new_compare25(xuu47000, xuu48000, False, dd) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, dd), dd)
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_ltEs17(Left(xuu47000), Right(xuu48000), ha, hb) → True
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, ead), eae)) → new_esEs6(xuu40000, xuu3000, ead, eae)
new_esEs30(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_compare18(xuu165, xuu166, True, dbc, dbd) → LT
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, ced)) → new_esEs16(xuu40001, xuu3001, ced)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_esEs7(xuu47000, xuu48000, bec, bed)
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), bbh) → new_asAs(new_esEs22(xuu40000, xuu3000, bbh), new_esEs21(xuu40001, xuu3001, bbh))
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_esEs16(xuu47001, xuu48001, cbh)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, bch) → new_esEs8(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, eg), eh)) → new_ltEs16(xuu47000, xuu48000, eg, eh)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_lt7(xuu47000, xuu48000, ff, fg) → new_esEs9(new_compare17(xuu47000, xuu48000, ff, fg), LT)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs15(@0, @0) → True
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs32(xuu36, xuu31, ty_Bool) → new_esEs11(xuu36, xuu31)
new_asAs(False, xuu153) → False
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs13([], :(xuu3000, xuu3001), bbg) → False
new_esEs13(:(xuu40000, xuu40001), [], bbg) → False
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_esEs32(xuu36, xuu31, app(ty_Ratio, cb)) → new_esEs16(xuu36, xuu31, cb)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], dcg), bch) → new_esEs13(xuu40000, xuu3000, dcg)
new_ltEs12(GT, GT) → True
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_esEs32(xuu36, xuu31, ty_Int) → new_esEs10(xuu36, xuu31)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, app(ty_Ratio, bhd)) → new_esEs16(xuu19, xuu14, bhd)
new_esEs11(True, True) → True
new_compare18(xuu165, xuu166, False, dbc, dbd) → GT
new_esEs29(xuu19, xuu14, ty_Char) → new_esEs8(xuu19, xuu14)
new_compare27(Left(xuu4700), Right(xuu4800), False, fh, ga) → LT
new_esEs25(xuu47000, xuu48000, app(ty_[], cgg)) → new_esEs13(xuu47000, xuu48000, cgg)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, hb) → new_ltEs11(xuu47000, xuu48000)
new_compare28(xuu47000, xuu48000, False, ff, fg) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, ff, fg), ff, fg)
new_esEs31(xuu4000, xuu300, app(ty_[], bae)) → new_esEs13(xuu4000, xuu300, bae)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_lt5(xuu47001, xuu48001, cca)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bfc), bfd), hb) → new_ltEs16(xuu47000, xuu48000, bfc, bfd)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Nothing, dh) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_lt16(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_lt5(xuu47000, xuu48000, dd)
new_compare11(xuu47000, xuu48000, False) → GT
new_esEs30(xuu4000, xuu300, app(app(ty_@2, bcd), bce)) → new_esEs6(xuu4000, xuu300, bcd, bce)
new_ltEs12(EQ, LT) → False
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_compare16(xuu158, xuu159, False, fc, fd) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs9(EQ, LT) → False
new_esEs9(LT, EQ) → False
new_compare33(xuu47000, xuu48000, app(app(ty_Either, dce), dcf)) → new_compare29(xuu47000, xuu48000, dce, dcf)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, dch), bch) → new_esEs16(xuu40000, xuu3000, dch)
new_compare11(xuu47000, xuu48000, True) → LT
new_esEs31(xuu4000, xuu300, app(ty_Maybe, bbd)) → new_esEs4(xuu4000, xuu300, bbd)
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), bbg) → new_asAs(new_esEs18(xuu40000, xuu3000, bbg), new_esEs13(xuu40001, xuu3001, bbg))
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, he)) → new_ltEs7(xuu4700, xuu4800, he)
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_esEs5(xuu47000, xuu48000, chb, chc, chd)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, dac)) → new_ltEs7(xuu47001, xuu48001, dac)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, beh), bfa), bfb), hb) → new_ltEs15(xuu47000, xuu48000, beh, bfa, bfb)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_lt13(xuu47001, xuu48001, cbh)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs29(xuu19, xuu14, app(app(ty_Either, cac), cad)) → new_esEs7(xuu19, xuu14, cac, cad)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), bca, bcb, bcc) → new_asAs(new_esEs28(xuu40000, xuu3000, bca), new_asAs(new_esEs27(xuu40001, xuu3001, bcb), new_esEs26(xuu40002, xuu3002, bcc)))
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_compare26(xuu47000, xuu48000, True, de, df, dg) → EQ
new_compare0([], :(xuu48000, xuu48001), gb) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_esEs32(xuu36, xuu31, ty_Float) → new_esEs12(xuu36, xuu31)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, baa), bab)) → new_ltEs16(xuu4700, xuu4800, baa, bab)
new_esEs31(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_lt19(xuu47000, xuu48000, chb, chc, chd)
new_asAs(True, xuu153) → xuu153
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_ltEs21(xuu47001, xuu48001, app(ty_[], daa)) → new_ltEs8(xuu47001, xuu48001, daa)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs30(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, dfe), dff), dfg)) → new_esEs5(xuu40002, xuu3002, dfe, dff, dfg)
new_esEs27(xuu40001, xuu3001, app(ty_[], dge)) → new_esEs13(xuu40001, xuu3001, dge)
new_esEs29(xuu19, xuu14, ty_Float) → new_esEs12(xuu19, xuu14)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, dfh), dga)) → new_esEs6(xuu40002, xuu3002, dfh, dga)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, cee), cef), ceg)) → new_esEs5(xuu40001, xuu3001, cee, cef, ceg)
new_esEs32(xuu36, xuu31, ty_Char) → new_esEs8(xuu36, xuu31)
new_ltEs6(False, False) → True
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_lt5(xuu47000, xuu48000, dd) → new_esEs9(new_compare8(xuu47000, xuu48000, dd), LT)
new_lt17(xuu47001, xuu48001, app(ty_[], cbg)) → new_lt12(xuu47001, xuu48001, cbg)
new_compare10(xuu47000, xuu48000, True) → LT
new_esEs30(xuu4000, xuu300, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs5(xuu4000, xuu300, bca, bcb, bcc)
new_esEs29(xuu19, xuu14, app(ty_Maybe, cab)) → new_esEs4(xuu19, xuu14, cab)
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(ty_[], cbg)) → new_esEs13(xuu47001, xuu48001, cbg)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs30(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Ratio, bfh)) → new_ltEs9(xuu47000, xuu48000, bfh)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, cdc)) → new_ltEs7(xuu47002, xuu48002, cdc)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, bch) → new_esEs11(xuu40000, xuu3000)
new_compare13(xuu47000, xuu48000, True, de, df, dg) → LT
new_lt20(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_lt13(xuu47000, xuu48000, cgh)
new_compare10(xuu47000, xuu48000, False) → GT
new_esEs9(LT, LT) → True
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, cdg), cdh)) → new_ltEs16(xuu47002, xuu48002, cdg, cdh)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, bch) → new_esEs12(xuu40000, xuu3000)
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_esEs7(xuu47000, xuu48000, chg, chh)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, eb)) → new_ltEs9(xuu47000, xuu48000, eb)
new_esEs31(xuu4000, xuu300, app(app(ty_@2, bbb), bbc)) → new_esEs6(xuu4000, xuu300, bbb, bbc)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs12(GT, LT) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_primCompAux0(xuu199, EQ) → xuu199
new_esEs29(xuu19, xuu14, ty_Ordering) → new_esEs9(xuu19, xuu14)
new_compare17(xuu47000, xuu48000, ff, fg) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ff, fg), ff, fg)
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_esEs23(xuu40001, xuu3001, app(ty_[], cec)) → new_esEs13(xuu40001, xuu3001, cec)
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_not(True) → False
new_lt12(xuu47000, xuu48000, bha) → new_esEs9(new_compare0(xuu47000, xuu48000, bha), LT)

The set Q consists of the following terms:

new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_compare11(x0, x1, False)
new_compare16(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_lt14(x0, x1)
new_esEs32(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Int)
new_esEs19(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare33(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt16(x0, x1, app(ty_Ratio, x2))
new_esEs13([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_ltEs7(Nothing, Nothing, x0)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs25(x0, x1, ty_Double)
new_ltEs12(GT, GT)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_compare26(x0, x1, False, x2, x3, x4)
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Char)
new_compare25(x0, x1, False, x2)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs9(EQ, GT)
new_esEs9(GT, EQ)
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_esEs29(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs7(Nothing, Just(x0), x1)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_compare17(x0, x1, x2, x3)
new_compare18(x0, x1, True, x2, x3)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, x2)
new_lt17(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_lt12(x0, x1, x2)
new_lt16(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_compare29(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs31(x0, x1, ty_Char)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_compare14(Char(x0), Char(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Nothing, x1)
new_esEs9(EQ, LT)
new_esEs9(LT, EQ)
new_compare210(x0, x1, False)
new_esEs23(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt17(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Ordering)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_lt20(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(Char(x0), Char(x1))
new_primPlusNat1(Succ(x0), Zero)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_lt17(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Int)
new_esEs18(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Float)
new_compare19(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_@0)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Bool)
new_primEqNat0(Zero, Succ(x0))
new_ltEs20(x0, x1, ty_Float)
new_compare0([], [], x0)
new_esEs18(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_lt16(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt17(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Zero, Zero)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primMulNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Char)
new_primCompAux0(x0, GT)
new_compare12(x0, x1, True, x2)
new_esEs32(x0, x1, ty_@0)
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare26(x0, x1, True, x2, x3, x4)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_lt16(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs13(:(x0, x1), [], x2)
new_sr0(Integer(x0), Integer(x1))
new_compare27(x0, x1, True, x2, x3)
new_ltEs6(True, False)
new_ltEs6(False, True)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs24(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_lt17(x0, x1, app(ty_[], x2))
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, ty_Char)
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_lt16(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs10(x0, x1)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs9(GT, GT)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_pePe(True, x0)
new_lt18(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_lt17(x0, x1, app(ty_Maybe, x2))
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_primMulInt(Pos(x0), Pos(x1))
new_compare33(x0, x1, ty_Float)
new_lt16(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs12(EQ, EQ)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs9(EQ, EQ)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_compare15(Float(x0, x1), Float(x2, x3))
new_compare18(x0, x1, False, x2, x3)
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Int)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(x0, x1, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt9(x0, x1)
new_compare28(x0, x1, False, x2, x3)
new_lt7(x0, x1, x2, x3)
new_esEs26(x0, x1, ty_Int)
new_ltEs18(x0, x1, ty_Float)
new_ltEs5(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare7(@0, @0)
new_esEs4(Nothing, Nothing, x0)
new_ltEs18(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Double)
new_esEs13([], [], x0)
new_esEs26(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Bool)
new_compare210(x0, x1, True)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Int)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_compare28(x0, x1, True, x2, x3)
new_esEs32(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs18(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Double)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(Zero, Zero)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_compare12(x0, x1, False, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_ltEs18(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Ordering)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_ltEs8(x0, x1, x2)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare5(Integer(x0), Integer(x1))
new_lt19(x0, x1, x2, x3, x4)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_lt5(x0, x1, x2)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare25(x0, x1, True, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True)
new_esEs31(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Float)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs30(x0, x1, ty_@0)
new_lt16(x0, x1, ty_Bool)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_ltEs21(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_lt16(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs10(x0, x1)
new_esEs30(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, ty_Double)
new_esEs18(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Float)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs29(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare8(x0, x1, x2)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare33(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_compare110(x0, x1, True, x2, x3)
new_compare33(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_@0)
new_ltEs4(x0, x1)
new_esEs19(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, True)
new_esEs27(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_[], x2))
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_lt16(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs19(x0, x1, ty_Ordering)
new_compare110(x0, x1, False, x2, x3)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_primPlusNat0(Zero, x0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(LT, LT)
new_esEs28(x0, x1, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_esEs4(Nothing, Just(x0), x1)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)

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

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

new_addToFM_C12(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bf, bg, bh) → new_addToFM_C(xuu35, Right(xuu36), xuu37, bf, bg, bh)
new_addToFM_C(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, bc, bd, be) → new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C11(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu34, Right(xuu4000), xuu401, bc, bd, be)
new_addToFM_C22(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bf, bg, bh) → new_addToFM_C(xuu34, Right(xuu36), xuu37, bf, bg, bh)
new_addToFM_C22(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, False, bf, bg, bh) → new_addToFM_C12(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, new_esEs9(new_compare27(Right(xuu36), Right(xuu31), new_esEs32(xuu36, xuu31, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, bc, bd, be) → new_addToFM_C11(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu33, Right(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, bc, bd, be) → new_addToFM_C22(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Right(xuu300), new_esEs31(xuu4000, xuu300, bd), bc, bd), LT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs31(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xuu4000, xuu300, bag, bah, bba)
new_esEs31(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(app(ty_Either, bbe), bbf)) → new_esEs7(xuu4000, xuu300, bbe, bbf)
new_esEs31(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(ty_Ratio, baf)) → new_esEs16(xuu4000, xuu300, baf)
new_esEs31(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(ty_[], bae)) → new_esEs13(xuu4000, xuu300, bae)
new_esEs31(xuu4000, xuu300, app(ty_Maybe, bbd)) → new_esEs4(xuu4000, xuu300, bbd)
new_esEs31(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(app(ty_@2, bbb), bbc)) → new_esEs6(xuu4000, xuu300, bbb, bbc)
new_compare27(xuu470, xuu480, True, fh, ga) → EQ
new_compare27(Right(xuu4700), Right(xuu4800), False, fh, ga) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, ga), fh, ga)
new_esEs9(GT, LT) → False
new_esEs9(EQ, LT) → False
new_esEs9(LT, LT) → True
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_[], hc)) → new_ltEs8(xuu4700, xuu4800, hc)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs15(xuu4700, xuu4800, hf, hg, hh)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, hd)) → new_ltEs9(xuu4700, xuu4800, hd)
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, bac), bad)) → new_ltEs17(xuu4700, xuu4800, bac, bad)
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, he)) → new_ltEs7(xuu4700, xuu4800, he)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, baa), bab)) → new_ltEs16(xuu4700, xuu4800, baa, bab)
new_compare18(xuu165, xuu166, True, dbc, dbd) → LT
new_compare18(xuu165, xuu166, False, dbc, dbd) → GT
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), gg, gh) → new_pePe(new_lt20(xuu47000, xuu48000, gg), new_asAs(new_esEs25(xuu47000, xuu48000, gg), new_ltEs21(xuu47001, xuu48001, gh)))
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_lt7(xuu47000, xuu48000, che, chf)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_lt5(xuu47000, xuu48000, cha)
new_lt20(xuu47000, xuu48000, app(ty_[], cgg)) → new_lt12(xuu47000, xuu48000, cgg)
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_lt11(xuu47000, xuu48000, chg, chh)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_lt19(xuu47000, xuu48000, chb, chc, chd)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_lt13(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_esEs6(xuu47000, xuu48000, che, chf)
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_esEs4(xuu47000, xuu48000, cha)
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_esEs16(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_[], cgg)) → new_esEs13(xuu47000, xuu48000, cgg)
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_esEs5(xuu47000, xuu48000, chb, chc, chd)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_esEs7(xuu47000, xuu48000, chg, chh)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, dag), dah)) → new_ltEs16(xuu47001, xuu48001, dag, dah)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, dad), dae), daf)) → new_ltEs15(xuu47001, xuu48001, dad, dae, daf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, dba), dbb)) → new_ltEs17(xuu47001, xuu48001, dba, dbb)
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, dab)) → new_ltEs9(xuu47001, xuu48001, dab)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, dac)) → new_ltEs7(xuu47001, xuu48001, dac)
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(ty_[], daa)) → new_ltEs8(xuu47001, xuu48001, daa)
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_asAs(False, xuu153) → False
new_asAs(True, xuu153) → xuu153
new_pePe(False, xuu185) → xuu185
new_pePe(True, xuu185) → True
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_esEs9(LT, GT) → False
new_esEs9(EQ, GT) → False
new_esEs9(GT, GT) → True
new_not(False) → True
new_not(True) → False
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_ltEs8(xuu4700, xuu4800, gb) → new_fsEs(new_compare0(xuu4700, xuu4800, gb))
new_compare0([], [], gb) → EQ
new_compare0(:(xuu47000, xuu47001), [], gb) → GT
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), gb) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, gb), gb)
new_compare0([], :(xuu48000, xuu48001), gb) → LT
new_primCompAux1(xuu47000, xuu48000, xuu186, gb) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, gb))
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, dbf)) → new_compare30(xuu47000, xuu48000, dbf)
new_compare33(xuu47000, xuu48000, app(ty_[], dbe)) → new_compare0(xuu47000, xuu48000, dbe)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, dbg)) → new_compare8(xuu47000, xuu48000, dbg)
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, dbh), dca), dcb)) → new_compare32(xuu47000, xuu48000, dbh, dca, dcb)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, dcc), dcd)) → new_compare17(xuu47000, xuu48000, dcc, dcd)
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(app(ty_Either, dce), dcf)) → new_compare29(xuu47000, xuu48000, dce, dcf)
new_primCompAux0(xuu199, GT) → GT
new_primCompAux0(xuu199, LT) → LT
new_primCompAux0(xuu199, EQ) → xuu199
new_compare29(xuu47000, xuu48000, bec, bed) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, bec, bed), bec, bed)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, dda), ddb), ddc), bch) → new_esEs5(xuu40000, xuu3000, dda, ddb, ddc)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, bch) → new_esEs14(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(app(ty_@3, dec), ded), dee)) → new_esEs5(xuu40000, xuu3000, dec, ded, dee)
new_esEs7(Left(xuu40000), Right(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Left(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Ratio, deb)) → new_esEs16(xuu40000, xuu3000, deb)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, bch) → new_esEs9(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, bch) → new_esEs10(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_[], dea)) → new_esEs13(xuu40000, xuu3000, dea)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, ddd), dde), bch) → new_esEs6(xuu40000, xuu3000, ddd, dde)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, bch) → new_esEs15(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_@2, def), deg)) → new_esEs6(xuu40000, xuu3000, def, deg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, bch) → new_esEs17(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, bch) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], dcg), bch) → new_esEs13(xuu40000, xuu3000, dcg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, dch), bch) → new_esEs16(xuu40000, xuu3000, dch)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, bch) → new_esEs11(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, bch) → new_esEs12(xuu40000, xuu3000)
new_compare27(Left(xuu4700), Left(xuu4800), False, fh, ga) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, fh), fh, ga)
new_compare27(Right(xuu4700), Left(xuu4800), False, fh, ga) → GT
new_compare27(Left(xuu4700), Right(xuu4800), False, fh, ga) → LT
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, ddg), ddh), bch) → new_esEs7(xuu40000, xuu3000, ddg, ddh)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bea), beb)) → new_esEs7(xuu40000, xuu3000, bea, beb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bdh)) → new_esEs4(xuu40000, xuu3000, bdh)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_Either, dfa), dfb)) → new_esEs7(xuu40000, xuu3000, dfa, dfb)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, ddf), bch) → new_esEs4(xuu40000, xuu3000, ddf)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Maybe, deh)) → new_esEs4(xuu40000, xuu3000, deh)
new_esEs4(Nothing, Just(xuu3000), bcf) → False
new_esEs4(Just(xuu40000), Nothing, bcf) → False
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs5(xuu40000, xuu3000, bdc, bdd, bde)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bdf), bdg)) → new_esEs6(xuu40000, xuu3000, bdf, bdg)
new_esEs4(Nothing, Nothing, bcf) → True
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, bdb)) → new_esEs16(xuu40000, xuu3000, bdb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], bda)) → new_esEs13(xuu40000, xuu3000, bda)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_primPlusNat1(Zero, Zero) → Zero
new_esEs13([], [], bbg) → True
new_esEs13([], :(xuu3000, xuu3001), bbg) → False
new_esEs13(:(xuu40000, xuu40001), [], bbg) → False
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), bbg) → new_asAs(new_esEs18(xuu40000, xuu3000, bbg), new_esEs13(xuu40001, xuu3001, bbg))
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, cbb), cbc)) → new_esEs6(xuu40000, xuu3000, cbb, cbc)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, app(ty_[], cae)) → new_esEs13(xuu40000, xuu3000, cae)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, caf)) → new_esEs16(xuu40000, xuu3000, caf)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(xuu40000, xuu3000, cag, cah, cba)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, cbd)) → new_esEs4(xuu40000, xuu3000, cbd)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, cbe), cbf)) → new_esEs7(xuu40000, xuu3000, cbe, cbf)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_esEs11(False, False) → True
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_esEs11(True, True) → True
new_esEs9(GT, EQ) → False
new_esEs9(EQ, EQ) → True
new_esEs9(LT, EQ) → False
new_esEs15(@0, @0) → True
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), bca, bcb, bcc) → new_asAs(new_esEs28(xuu40000, xuu3000, bca), new_asAs(new_esEs27(xuu40001, xuu3001, bcb), new_esEs26(xuu40002, xuu3002, bcc)))
new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(ty_[], dhg)) → new_esEs13(xuu40000, xuu3000, dhg)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, eaa), eab), eac)) → new_esEs5(xuu40000, xuu3000, eaa, eab, eac)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, dhh)) → new_esEs16(xuu40000, xuu3000, dhh)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, eaf)) → new_esEs4(xuu40000, xuu3000, eaf)
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, eag), eah)) → new_esEs7(xuu40000, xuu3000, eag, eah)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, ead), eae)) → new_esEs6(xuu40000, xuu3000, ead, eae)
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, dhe), dhf)) → new_esEs7(xuu40001, xuu3001, dhe, dhf)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu40001, xuu3001, dgg, dgh, dha)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, dgf)) → new_esEs16(xuu40001, xuu3001, dgf)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, dhb), dhc)) → new_esEs6(xuu40001, xuu3001, dhb, dhc)
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, dhd)) → new_esEs4(xuu40001, xuu3001, dhd)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(ty_[], dge)) → new_esEs13(xuu40001, xuu3001, dge)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, dgb)) → new_esEs4(xuu40002, xuu3002, dgb)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_[], dfc)) → new_esEs13(xuu40002, xuu3002, dfc)
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, dgc), dgd)) → new_esEs7(xuu40002, xuu3002, dgc, dgd)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, dfd)) → new_esEs16(xuu40002, xuu3002, dfd)
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, dfe), dff), dfg)) → new_esEs5(xuu40002, xuu3002, dfe, dff, dfg)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, dfh), dga)) → new_esEs6(xuu40002, xuu3002, dfh, dga)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), bcd, bce) → new_asAs(new_esEs24(xuu40000, xuu3000, bcd), new_esEs23(xuu40001, xuu3001, bce))
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, cfg), cfh), cga)) → new_esEs5(xuu40000, xuu3000, cfg, cfh, cga)
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, cgd)) → new_esEs4(xuu40000, xuu3000, cgd)
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, cge), cgf)) → new_esEs7(xuu40000, xuu3000, cge, cgf)
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, cgb), cgc)) → new_esEs6(xuu40000, xuu3000, cgb, cgc)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, cff)) → new_esEs16(xuu40000, xuu3000, cff)
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, app(ty_[], cfe)) → new_esEs13(xuu40000, xuu3000, cfe)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, cfc), cfd)) → new_esEs7(xuu40001, xuu3001, cfc, cfd)
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, cfb)) → new_esEs4(xuu40001, xuu3001, cfb)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ceh), cfa)) → new_esEs6(xuu40001, xuu3001, ceh, cfa)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, ced)) → new_esEs16(xuu40001, xuu3001, ced)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, cee), cef), ceg)) → new_esEs5(xuu40001, xuu3001, cee, cef, ceg)
new_esEs23(xuu40001, xuu3001, app(ty_[], cec)) → new_esEs13(xuu40001, xuu3001, cec)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), bbh) → new_asAs(new_esEs22(xuu40000, xuu3000, bbh), new_esEs21(xuu40001, xuu3001, bbh))
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, gc)) → new_ltEs9(xuu4700, xuu4800, gc)
new_ltEs18(xuu4700, xuu4800, app(ty_[], gb)) → new_ltEs8(xuu4700, xuu4800, gb)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, ha), hb)) → new_ltEs17(xuu4700, xuu4800, ha, hb)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs15(xuu4700, xuu4800, gd, ge, gf)
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, dh)) → new_ltEs7(xuu4700, xuu4800, dh)
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, gg), gh)) → new_ltEs16(xuu4700, xuu4800, gg, gh)
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_compare16(xuu158, xuu159, True, fc, fd) → LT
new_compare16(xuu158, xuu159, False, fc, fd) → GT
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_ltEs12(LT, GT) → True
new_ltEs12(LT, LT) → True
new_ltEs12(LT, EQ) → True
new_ltEs12(EQ, EQ) → True
new_ltEs12(GT, EQ) → False
new_ltEs12(EQ, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs12(EQ, LT) → False
new_ltEs12(GT, LT) → False
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], ea)) → new_ltEs8(xuu47000, xuu48000, ea)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ed), ee), ef)) → new_ltEs15(xuu47000, xuu48000, ed, ee, ef)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_ltEs7(Nothing, Just(xuu48000), dh) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_ltEs7(Nothing, Nothing, dh) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, eg), eh)) → new_ltEs16(xuu47000, xuu48000, eg, eh)
new_ltEs7(Just(xuu47000), Nothing, dh) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, eb)) → new_ltEs9(xuu47000, xuu48000, eb)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bfe), bff), hb) → new_ltEs17(xuu47000, xuu48000, bfe, bff)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_Either, bgg), bgh)) → new_ltEs17(xuu47000, xuu48000, bgg, bgh)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, ec)) → new_ltEs7(xuu47000, xuu48000, ec)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, fa), fb)) → new_ltEs17(xuu47000, xuu48000, fa, fb)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Maybe, bga)) → new_ltEs7(xuu47000, xuu48000, bga)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, beg), hb) → new_ltEs7(xuu47000, xuu48000, beg)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], bee), hb) → new_ltEs8(xuu47000, xuu48000, bee)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, hb) → new_ltEs5(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, hb) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, hb) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), ha, hb) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, hb) → new_ltEs14(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(app(ty_@3, bgb), bgc), bgd)) → new_ltEs15(xuu47000, xuu48000, bgb, bgc, bgd)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, hb) → new_ltEs13(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, hb) → new_ltEs6(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_[], bfg)) → new_ltEs8(xuu47000, xuu48000, bfg)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, hb) → new_ltEs4(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_@2, bge), bgf)) → new_ltEs16(xuu47000, xuu48000, bge, bgf)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, bef), hb) → new_ltEs9(xuu47000, xuu48000, bef)
new_ltEs17(Left(xuu47000), Right(xuu48000), ha, hb) → True
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, hb) → new_ltEs11(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bfc), bfd), hb) → new_ltEs16(xuu47000, xuu48000, bfc, bfd)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, beh), bfa), bfb), hb) → new_ltEs15(xuu47000, xuu48000, beh, bfa, bfb)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Ratio, bfh)) → new_ltEs9(xuu47000, xuu48000, bfh)
new_ltEs9(xuu4700, xuu4800, gc) → new_fsEs(new_compare30(xuu4700, xuu4800, gc))
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), gd, ge, gf) → new_pePe(new_lt16(xuu47000, xuu48000, gd), new_asAs(new_esEs20(xuu47000, xuu48000, gd), new_pePe(new_lt17(xuu47001, xuu48001, ge), new_asAs(new_esEs19(xuu47001, xuu48001, ge), new_ltEs20(xuu47002, xuu48002, gf)))))
new_lt16(xuu47000, xuu48000, app(ty_[], bha)) → new_lt12(xuu47000, xuu48000, bha)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_lt11(xuu47000, xuu48000, bec, bed)
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_lt19(xuu47000, xuu48000, de, df, dg)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_lt7(xuu47000, xuu48000, ff, fg)
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_lt13(xuu47000, xuu48000, bhb)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_lt5(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_[], bha)) → new_esEs13(xuu47000, xuu48000, bha)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_esEs4(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_esEs16(xuu47000, xuu48000, bhb)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_esEs6(xuu47000, xuu48000, ff, fg)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xuu47000, xuu48000, de, df, dg)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_esEs7(xuu47000, xuu48000, bec, bed)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_lt7(xuu47001, xuu48001, cce, ccf)
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_lt19(xuu47001, xuu48001, ccb, ccc, ccd)
new_lt17(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_lt11(xuu47001, xuu48001, ccg, cch)
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_lt5(xuu47001, xuu48001, cca)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_lt13(xuu47001, xuu48001, cbh)
new_lt17(xuu47001, xuu48001, app(ty_[], cbg)) → new_lt12(xuu47001, xuu48001, cbg)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs5(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_esEs7(xuu47001, xuu48001, ccg, cch)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_esEs4(xuu47001, xuu48001, cca)
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_esEs6(xuu47001, xuu48001, cce, ccf)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_esEs16(xuu47001, xuu48001, cbh)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(ty_[], cbg)) → new_esEs13(xuu47001, xuu48001, cbg)
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, cdb)) → new_ltEs9(xuu47002, xuu48002, cdb)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs15(xuu47002, xuu48002, cdd, cde, cdf)
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(ty_[], cda)) → new_ltEs8(xuu47002, xuu48002, cda)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, cea), ceb)) → new_ltEs17(xuu47002, xuu48002, cea, ceb)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, cdc)) → new_ltEs7(xuu47002, xuu48002, cdc)
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, cdg), cdh)) → new_ltEs16(xuu47002, xuu48002, cdg, cdh)
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_compare7(@0, @0) → EQ
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_ltEs6(True, False) → False
new_ltEs6(False, True) → True
new_ltEs6(True, True) → True
new_ltEs6(False, False) → True
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_lt12(xuu47000, xuu48000, bha) → new_esEs9(new_compare0(xuu47000, xuu48000, bha), LT)
new_lt13(xuu47000, xuu48000, bhb) → new_esEs9(new_compare30(xuu47000, xuu48000, bhb), LT)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_compare24(xuu47000, xuu48000, True) → EQ
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_compare11(xuu47000, xuu48000, False) → GT
new_compare11(xuu47000, xuu48000, True) → LT
new_lt5(xuu47000, xuu48000, dd) → new_esEs9(new_compare8(xuu47000, xuu48000, dd), LT)
new_compare8(xuu47000, xuu48000, dd) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, dd), dd)
new_compare25(xuu47000, xuu48000, True, dd) → EQ
new_compare25(xuu47000, xuu48000, False, dd) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, dd), dd)
new_compare12(xuu47000, xuu48000, False, dd) → GT
new_compare12(xuu47000, xuu48000, True, dd) → LT
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare210(xuu47000, xuu48000, True) → EQ
new_compare10(xuu47000, xuu48000, True) → LT
new_compare10(xuu47000, xuu48000, False) → GT
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_lt11(xuu47000, xuu48000, bec, bed) → new_esEs9(new_compare29(xuu47000, xuu48000, bec, bed), LT)
new_lt19(xuu47000, xuu48000, de, df, dg) → new_esEs9(new_compare32(xuu47000, xuu48000, de, df, dg), LT)
new_compare32(xuu47000, xuu48000, de, df, dg) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_compare26(xuu47000, xuu48000, False, de, df, dg) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_compare26(xuu47000, xuu48000, True, de, df, dg) → EQ
new_compare13(xuu47000, xuu48000, False, de, df, dg) → GT
new_compare13(xuu47000, xuu48000, True, de, df, dg) → LT
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_lt7(xuu47000, xuu48000, ff, fg) → new_esEs9(new_compare17(xuu47000, xuu48000, ff, fg), LT)
new_compare17(xuu47000, xuu48000, ff, fg) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ff, fg), ff, fg)
new_compare28(xuu47000, xuu48000, True, ff, fg) → EQ
new_compare28(xuu47000, xuu48000, False, ff, fg) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, ff, fg), ff, fg)
new_compare110(xuu47000, xuu48000, True, ff, fg) → LT
new_compare110(xuu47000, xuu48000, False, ff, fg) → GT
new_esEs32(xuu36, xuu31, ty_@0) → new_esEs15(xuu36, xuu31)
new_esEs32(xuu36, xuu31, ty_Integer) → new_esEs17(xuu36, xuu31)
new_esEs32(xuu36, xuu31, app(app(ty_@2, cf), cg)) → new_esEs6(xuu36, xuu31, cf, cg)
new_esEs32(xuu36, xuu31, ty_Ordering) → new_esEs9(xuu36, xuu31)
new_esEs32(xuu36, xuu31, app(ty_Maybe, da)) → new_esEs4(xuu36, xuu31, da)
new_esEs32(xuu36, xuu31, ty_Double) → new_esEs14(xuu36, xuu31)
new_esEs32(xuu36, xuu31, app(app(app(ty_@3, cc), cd), ce)) → new_esEs5(xuu36, xuu31, cc, cd, ce)
new_esEs32(xuu36, xuu31, app(app(ty_Either, db), dc)) → new_esEs7(xuu36, xuu31, db, dc)
new_esEs32(xuu36, xuu31, app(ty_[], ca)) → new_esEs13(xuu36, xuu31, ca)
new_esEs32(xuu36, xuu31, ty_Bool) → new_esEs11(xuu36, xuu31)
new_esEs32(xuu36, xuu31, app(ty_Ratio, cb)) → new_esEs16(xuu36, xuu31, cb)
new_esEs32(xuu36, xuu31, ty_Int) → new_esEs10(xuu36, xuu31)
new_esEs32(xuu36, xuu31, ty_Float) → new_esEs12(xuu36, xuu31)
new_esEs32(xuu36, xuu31, ty_Char) → new_esEs8(xuu36, xuu31)

The set Q consists of the following terms:

new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_compare11(x0, x1, False)
new_compare16(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_lt14(x0, x1)
new_esEs32(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Int)
new_esEs19(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare33(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt16(x0, x1, app(ty_Ratio, x2))
new_esEs13([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_ltEs7(Nothing, Nothing, x0)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs25(x0, x1, ty_Double)
new_ltEs12(GT, GT)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_compare26(x0, x1, False, x2, x3, x4)
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Char)
new_compare25(x0, x1, False, x2)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs9(EQ, GT)
new_esEs9(GT, EQ)
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_esEs29(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs7(Nothing, Just(x0), x1)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_compare17(x0, x1, x2, x3)
new_compare18(x0, x1, True, x2, x3)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, x2)
new_lt17(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_lt12(x0, x1, x2)
new_lt16(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_compare29(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs31(x0, x1, ty_Char)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_compare14(Char(x0), Char(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Nothing, x1)
new_esEs9(EQ, LT)
new_esEs9(LT, EQ)
new_compare210(x0, x1, False)
new_esEs23(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt17(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Ordering)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_lt20(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(Char(x0), Char(x1))
new_primPlusNat1(Succ(x0), Zero)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_lt17(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Int)
new_esEs18(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Float)
new_compare19(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_@0)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Bool)
new_primEqNat0(Zero, Succ(x0))
new_ltEs20(x0, x1, ty_Float)
new_compare0([], [], x0)
new_esEs18(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_lt16(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt17(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Zero, Zero)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primMulNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Char)
new_primCompAux0(x0, GT)
new_compare12(x0, x1, True, x2)
new_esEs32(x0, x1, ty_@0)
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare26(x0, x1, True, x2, x3, x4)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_lt16(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs13(:(x0, x1), [], x2)
new_sr0(Integer(x0), Integer(x1))
new_compare27(x0, x1, True, x2, x3)
new_ltEs6(True, False)
new_ltEs6(False, True)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs24(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_lt17(x0, x1, app(ty_[], x2))
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, ty_Char)
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_lt16(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs10(x0, x1)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs9(GT, GT)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_pePe(True, x0)
new_lt18(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_lt17(x0, x1, app(ty_Maybe, x2))
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_primMulInt(Pos(x0), Pos(x1))
new_compare33(x0, x1, ty_Float)
new_lt16(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs12(EQ, EQ)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs9(EQ, EQ)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_compare15(Float(x0, x1), Float(x2, x3))
new_compare18(x0, x1, False, x2, x3)
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Int)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(x0, x1, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt9(x0, x1)
new_compare28(x0, x1, False, x2, x3)
new_lt7(x0, x1, x2, x3)
new_esEs26(x0, x1, ty_Int)
new_ltEs18(x0, x1, ty_Float)
new_ltEs5(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare7(@0, @0)
new_esEs4(Nothing, Nothing, x0)
new_ltEs18(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Double)
new_esEs13([], [], x0)
new_esEs26(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Bool)
new_compare210(x0, x1, True)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Int)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_compare28(x0, x1, True, x2, x3)
new_esEs32(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs18(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Double)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(Zero, Zero)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_compare12(x0, x1, False, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_ltEs18(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Ordering)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_ltEs8(x0, x1, x2)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare5(Integer(x0), Integer(x1))
new_lt19(x0, x1, x2, x3, x4)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_lt5(x0, x1, x2)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare25(x0, x1, True, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True)
new_esEs31(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Float)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs30(x0, x1, ty_@0)
new_lt16(x0, x1, ty_Bool)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_ltEs21(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_lt16(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs10(x0, x1)
new_esEs30(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, ty_Double)
new_esEs18(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Float)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs29(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare8(x0, x1, x2)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare33(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_compare110(x0, x1, True, x2, x3)
new_compare33(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_@0)
new_ltEs4(x0, x1)
new_esEs19(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, True)
new_esEs27(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_[], x2))
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs30(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_lt16(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs19(x0, x1, ty_Ordering)
new_compare110(x0, x1, False, x2, x3)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_primPlusNat0(Zero, x0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(LT, LT)
new_esEs28(x0, x1, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_esEs4(Nothing, Just(x0), x1)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)

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_Int)
new_esEs30(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Char)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Int)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Double)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_@0)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Ordering)
new_esEs29(x0, x1, app(ty_[], x2))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ 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_addToFM_C12(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bf, bg, bh) → new_addToFM_C(xuu35, Right(xuu36), xuu37, bf, bg, bh)
new_addToFM_C(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, bc, bd, be) → new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C22(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bf, bg, bh) → new_addToFM_C(xuu34, Right(xuu36), xuu37, bf, bg, bh)
new_addToFM_C11(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu34, Right(xuu4000), xuu401, bc, bd, be)
new_addToFM_C22(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, False, bf, bg, bh) → new_addToFM_C12(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, new_esEs9(new_compare27(Right(xuu36), Right(xuu31), new_esEs32(xuu36, xuu31, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, bc, bd, be) → new_addToFM_C11(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C21(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, bc, bd, be) → new_addToFM_C(xuu33, Right(xuu4000), xuu401, bc, bd, be)
new_addToFM_C(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, bc, bd, be) → new_addToFM_C22(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Right(xuu300), new_esEs31(xuu4000, xuu300, bd), bc, bd), LT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs31(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(app(app(ty_@3, bag), bah), bba)) → new_esEs5(xuu4000, xuu300, bag, bah, bba)
new_esEs31(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(app(ty_Either, bbe), bbf)) → new_esEs7(xuu4000, xuu300, bbe, bbf)
new_esEs31(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(ty_Ratio, baf)) → new_esEs16(xuu4000, xuu300, baf)
new_esEs31(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(ty_[], bae)) → new_esEs13(xuu4000, xuu300, bae)
new_esEs31(xuu4000, xuu300, app(ty_Maybe, bbd)) → new_esEs4(xuu4000, xuu300, bbd)
new_esEs31(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_esEs31(xuu4000, xuu300, app(app(ty_@2, bbb), bbc)) → new_esEs6(xuu4000, xuu300, bbb, bbc)
new_compare27(xuu470, xuu480, True, fh, ga) → EQ
new_compare27(Right(xuu4700), Right(xuu4800), False, fh, ga) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, ga), fh, ga)
new_esEs9(GT, LT) → False
new_esEs9(EQ, LT) → False
new_esEs9(LT, LT) → True
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_[], hc)) → new_ltEs8(xuu4700, xuu4800, hc)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs15(xuu4700, xuu4800, hf, hg, hh)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, hd)) → new_ltEs9(xuu4700, xuu4800, hd)
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, bac), bad)) → new_ltEs17(xuu4700, xuu4800, bac, bad)
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, he)) → new_ltEs7(xuu4700, xuu4800, he)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, baa), bab)) → new_ltEs16(xuu4700, xuu4800, baa, bab)
new_compare18(xuu165, xuu166, True, dbc, dbd) → LT
new_compare18(xuu165, xuu166, False, dbc, dbd) → GT
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), gg, gh) → new_pePe(new_lt20(xuu47000, xuu48000, gg), new_asAs(new_esEs25(xuu47000, xuu48000, gg), new_ltEs21(xuu47001, xuu48001, gh)))
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_lt7(xuu47000, xuu48000, che, chf)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_lt5(xuu47000, xuu48000, cha)
new_lt20(xuu47000, xuu48000, app(ty_[], cgg)) → new_lt12(xuu47000, xuu48000, cgg)
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_lt11(xuu47000, xuu48000, chg, chh)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_lt19(xuu47000, xuu48000, chb, chc, chd)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_lt13(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, che), chf)) → new_esEs6(xuu47000, xuu48000, che, chf)
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, cha)) → new_esEs4(xuu47000, xuu48000, cha)
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, cgh)) → new_esEs16(xuu47000, xuu48000, cgh)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, app(ty_[], cgg)) → new_esEs13(xuu47000, xuu48000, cgg)
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, chb), chc), chd)) → new_esEs5(xuu47000, xuu48000, chb, chc, chd)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, chg), chh)) → new_esEs7(xuu47000, xuu48000, chg, chh)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, dag), dah)) → new_ltEs16(xuu47001, xuu48001, dag, dah)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, dad), dae), daf)) → new_ltEs15(xuu47001, xuu48001, dad, dae, daf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, dba), dbb)) → new_ltEs17(xuu47001, xuu48001, dba, dbb)
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, dab)) → new_ltEs9(xuu47001, xuu48001, dab)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, dac)) → new_ltEs7(xuu47001, xuu48001, dac)
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_ltEs21(xuu47001, xuu48001, app(ty_[], daa)) → new_ltEs8(xuu47001, xuu48001, daa)
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_asAs(False, xuu153) → False
new_asAs(True, xuu153) → xuu153
new_pePe(False, xuu185) → xuu185
new_pePe(True, xuu185) → True
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_esEs9(LT, GT) → False
new_esEs9(EQ, GT) → False
new_esEs9(GT, GT) → True
new_not(False) → True
new_not(True) → False
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_ltEs8(xuu4700, xuu4800, gb) → new_fsEs(new_compare0(xuu4700, xuu4800, gb))
new_compare0([], [], gb) → EQ
new_compare0(:(xuu47000, xuu47001), [], gb) → GT
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), gb) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, gb), gb)
new_compare0([], :(xuu48000, xuu48001), gb) → LT
new_primCompAux1(xuu47000, xuu48000, xuu186, gb) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, gb))
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, dbf)) → new_compare30(xuu47000, xuu48000, dbf)
new_compare33(xuu47000, xuu48000, app(ty_[], dbe)) → new_compare0(xuu47000, xuu48000, dbe)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, dbg)) → new_compare8(xuu47000, xuu48000, dbg)
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, dbh), dca), dcb)) → new_compare32(xuu47000, xuu48000, dbh, dca, dcb)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, dcc), dcd)) → new_compare17(xuu47000, xuu48000, dcc, dcd)
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, app(app(ty_Either, dce), dcf)) → new_compare29(xuu47000, xuu48000, dce, dcf)
new_primCompAux0(xuu199, GT) → GT
new_primCompAux0(xuu199, LT) → LT
new_primCompAux0(xuu199, EQ) → xuu199
new_compare29(xuu47000, xuu48000, bec, bed) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, bec, bed), bec, bed)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, dda), ddb), ddc), bch) → new_esEs5(xuu40000, xuu3000, dda, ddb, ddc)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, bch) → new_esEs14(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(app(ty_@3, dec), ded), dee)) → new_esEs5(xuu40000, xuu3000, dec, ded, dee)
new_esEs7(Left(xuu40000), Right(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Left(xuu3000), bcg, bch) → False
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Ratio, deb)) → new_esEs16(xuu40000, xuu3000, deb)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, bch) → new_esEs9(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, bch) → new_esEs10(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_[], dea)) → new_esEs13(xuu40000, xuu3000, dea)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, ddd), dde), bch) → new_esEs6(xuu40000, xuu3000, ddd, dde)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, bch) → new_esEs15(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_@2, def), deg)) → new_esEs6(xuu40000, xuu3000, def, deg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, bch) → new_esEs17(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, bch) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], dcg), bch) → new_esEs13(xuu40000, xuu3000, dcg)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, dch), bch) → new_esEs16(xuu40000, xuu3000, dch)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, bch) → new_esEs11(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, bch) → new_esEs12(xuu40000, xuu3000)
new_compare27(Left(xuu4700), Left(xuu4800), False, fh, ga) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, fh), fh, ga)
new_compare27(Right(xuu4700), Left(xuu4800), False, fh, ga) → GT
new_compare27(Left(xuu4700), Right(xuu4800), False, fh, ga) → LT
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, ddg), ddh), bch) → new_esEs7(xuu40000, xuu3000, ddg, ddh)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, bea), beb)) → new_esEs7(xuu40000, xuu3000, bea, beb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, bdh)) → new_esEs4(xuu40000, xuu3000, bdh)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(app(ty_Either, dfa), dfb)) → new_esEs7(xuu40000, xuu3000, dfa, dfb)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, ddf), bch) → new_esEs4(xuu40000, xuu3000, ddf)
new_esEs7(Right(xuu40000), Right(xuu3000), bcg, app(ty_Maybe, deh)) → new_esEs4(xuu40000, xuu3000, deh)
new_esEs4(Nothing, Just(xuu3000), bcf) → False
new_esEs4(Just(xuu40000), Nothing, bcf) → False
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs5(xuu40000, xuu3000, bdc, bdd, bde)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, bdf), bdg)) → new_esEs6(xuu40000, xuu3000, bdf, bdg)
new_esEs4(Nothing, Nothing, bcf) → True
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, bdb)) → new_esEs16(xuu40000, xuu3000, bdb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], bda)) → new_esEs13(xuu40000, xuu3000, bda)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_primPlusNat1(Zero, Zero) → Zero
new_esEs13([], [], bbg) → True
new_esEs13([], :(xuu3000, xuu3001), bbg) → False
new_esEs13(:(xuu40000, xuu40001), [], bbg) → False
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), bbg) → new_asAs(new_esEs18(xuu40000, xuu3000, bbg), new_esEs13(xuu40001, xuu3001, bbg))
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, cbb), cbc)) → new_esEs6(xuu40000, xuu3000, cbb, cbc)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, app(ty_[], cae)) → new_esEs13(xuu40000, xuu3000, cae)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, caf)) → new_esEs16(xuu40000, xuu3000, caf)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(xuu40000, xuu3000, cag, cah, cba)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, cbd)) → new_esEs4(xuu40000, xuu3000, cbd)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, cbe), cbf)) → new_esEs7(xuu40000, xuu3000, cbe, cbf)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_esEs11(False, False) → True
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_esEs11(True, True) → True
new_esEs9(GT, EQ) → False
new_esEs9(EQ, EQ) → True
new_esEs9(LT, EQ) → False
new_esEs15(@0, @0) → True
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), bca, bcb, bcc) → new_asAs(new_esEs28(xuu40000, xuu3000, bca), new_asAs(new_esEs27(xuu40001, xuu3001, bcb), new_esEs26(xuu40002, xuu3002, bcc)))
new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(ty_[], dhg)) → new_esEs13(xuu40000, xuu3000, dhg)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, eaa), eab), eac)) → new_esEs5(xuu40000, xuu3000, eaa, eab, eac)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, dhh)) → new_esEs16(xuu40000, xuu3000, dhh)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, eaf)) → new_esEs4(xuu40000, xuu3000, eaf)
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, eag), eah)) → new_esEs7(xuu40000, xuu3000, eag, eah)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, ead), eae)) → new_esEs6(xuu40000, xuu3000, ead, eae)
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, dhe), dhf)) → new_esEs7(xuu40001, xuu3001, dhe, dhf)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu40001, xuu3001, dgg, dgh, dha)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, dgf)) → new_esEs16(xuu40001, xuu3001, dgf)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, dhb), dhc)) → new_esEs6(xuu40001, xuu3001, dhb, dhc)
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, dhd)) → new_esEs4(xuu40001, xuu3001, dhd)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs27(xuu40001, xuu3001, app(ty_[], dge)) → new_esEs13(xuu40001, xuu3001, dge)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, dgb)) → new_esEs4(xuu40002, xuu3002, dgb)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_[], dfc)) → new_esEs13(xuu40002, xuu3002, dfc)
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, dgc), dgd)) → new_esEs7(xuu40002, xuu3002, dgc, dgd)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, dfd)) → new_esEs16(xuu40002, xuu3002, dfd)
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, dfe), dff), dfg)) → new_esEs5(xuu40002, xuu3002, dfe, dff, dfg)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, dfh), dga)) → new_esEs6(xuu40002, xuu3002, dfh, dga)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), bcd, bce) → new_asAs(new_esEs24(xuu40000, xuu3000, bcd), new_esEs23(xuu40001, xuu3001, bce))
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, cfg), cfh), cga)) → new_esEs5(xuu40000, xuu3000, cfg, cfh, cga)
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, cgd)) → new_esEs4(xuu40000, xuu3000, cgd)
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, cge), cgf)) → new_esEs7(xuu40000, xuu3000, cge, cgf)
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, cgb), cgc)) → new_esEs6(xuu40000, xuu3000, cgb, cgc)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, cff)) → new_esEs16(xuu40000, xuu3000, cff)
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, app(ty_[], cfe)) → new_esEs13(xuu40000, xuu3000, cfe)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, cfc), cfd)) → new_esEs7(xuu40001, xuu3001, cfc, cfd)
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, cfb)) → new_esEs4(xuu40001, xuu3001, cfb)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ceh), cfa)) → new_esEs6(xuu40001, xuu3001, ceh, cfa)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, ced)) → new_esEs16(xuu40001, xuu3001, ced)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, cee), cef), ceg)) → new_esEs5(xuu40001, xuu3001, cee, cef, ceg)
new_esEs23(xuu40001, xuu3001, app(ty_[], cec)) → new_esEs13(xuu40001, xuu3001, cec)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), bbh) → new_asAs(new_esEs22(xuu40000, xuu3000, bbh), new_esEs21(xuu40001, xuu3001, bbh))
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, gc)) → new_ltEs9(xuu4700, xuu4800, gc)
new_ltEs18(xuu4700, xuu4800, app(ty_[], gb)) → new_ltEs8(xuu4700, xuu4800, gb)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, ha), hb)) → new_ltEs17(xuu4700, xuu4800, ha, hb)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs15(xuu4700, xuu4800, gd, ge, gf)
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, dh)) → new_ltEs7(xuu4700, xuu4800, dh)
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, gg), gh)) → new_ltEs16(xuu4700, xuu4800, gg, gh)
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_compare16(xuu158, xuu159, True, fc, fd) → LT
new_compare16(xuu158, xuu159, False, fc, fd) → GT
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_ltEs12(LT, GT) → True
new_ltEs12(LT, LT) → True
new_ltEs12(LT, EQ) → True
new_ltEs12(EQ, EQ) → True
new_ltEs12(GT, EQ) → False
new_ltEs12(EQ, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs12(EQ, LT) → False
new_ltEs12(GT, LT) → False
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], ea)) → new_ltEs8(xuu47000, xuu48000, ea)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, ed), ee), ef)) → new_ltEs15(xuu47000, xuu48000, ed, ee, ef)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_ltEs7(Nothing, Just(xuu48000), dh) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_ltEs7(Nothing, Nothing, dh) → True
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, eg), eh)) → new_ltEs16(xuu47000, xuu48000, eg, eh)
new_ltEs7(Just(xuu47000), Nothing, dh) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, eb)) → new_ltEs9(xuu47000, xuu48000, eb)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, bfe), bff), hb) → new_ltEs17(xuu47000, xuu48000, bfe, bff)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_Either, bgg), bgh)) → new_ltEs17(xuu47000, xuu48000, bgg, bgh)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, ec)) → new_ltEs7(xuu47000, xuu48000, ec)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, fa), fb)) → new_ltEs17(xuu47000, xuu48000, fa, fb)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Maybe, bga)) → new_ltEs7(xuu47000, xuu48000, bga)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, beg), hb) → new_ltEs7(xuu47000, xuu48000, beg)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], bee), hb) → new_ltEs8(xuu47000, xuu48000, bee)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, hb) → new_ltEs5(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, hb) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, hb) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), ha, hb) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, hb) → new_ltEs14(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(app(ty_@3, bgb), bgc), bgd)) → new_ltEs15(xuu47000, xuu48000, bgb, bgc, bgd)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, hb) → new_ltEs13(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, hb) → new_ltEs6(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_[], bfg)) → new_ltEs8(xuu47000, xuu48000, bfg)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, hb) → new_ltEs4(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(app(ty_@2, bge), bgf)) → new_ltEs16(xuu47000, xuu48000, bge, bgf)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, bef), hb) → new_ltEs9(xuu47000, xuu48000, bef)
new_ltEs17(Left(xuu47000), Right(xuu48000), ha, hb) → True
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, hb) → new_ltEs11(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, bfc), bfd), hb) → new_ltEs16(xuu47000, xuu48000, bfc, bfd)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, beh), bfa), bfb), hb) → new_ltEs15(xuu47000, xuu48000, beh, bfa, bfb)
new_ltEs17(Right(xuu47000), Right(xuu48000), ha, app(ty_Ratio, bfh)) → new_ltEs9(xuu47000, xuu48000, bfh)
new_ltEs9(xuu4700, xuu4800, gc) → new_fsEs(new_compare30(xuu4700, xuu4800, gc))
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), gd, ge, gf) → new_pePe(new_lt16(xuu47000, xuu48000, gd), new_asAs(new_esEs20(xuu47000, xuu48000, gd), new_pePe(new_lt17(xuu47001, xuu48001, ge), new_asAs(new_esEs19(xuu47001, xuu48001, ge), new_ltEs20(xuu47002, xuu48002, gf)))))
new_lt16(xuu47000, xuu48000, app(ty_[], bha)) → new_lt12(xuu47000, xuu48000, bha)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_lt11(xuu47000, xuu48000, bec, bed)
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_lt19(xuu47000, xuu48000, de, df, dg)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_lt7(xuu47000, xuu48000, ff, fg)
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_lt13(xuu47000, xuu48000, bhb)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_lt5(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_[], bha)) → new_esEs13(xuu47000, xuu48000, bha)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, dd)) → new_esEs4(xuu47000, xuu48000, dd)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, bhb)) → new_esEs16(xuu47000, xuu48000, bhb)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, ff), fg)) → new_esEs6(xuu47000, xuu48000, ff, fg)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xuu47000, xuu48000, de, df, dg)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, bec), bed)) → new_esEs7(xuu47000, xuu48000, bec, bed)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_lt7(xuu47001, xuu48001, cce, ccf)
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_lt19(xuu47001, xuu48001, ccb, ccc, ccd)
new_lt17(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_lt11(xuu47001, xuu48001, ccg, cch)
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_lt5(xuu47001, xuu48001, cca)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_lt13(xuu47001, xuu48001, cbh)
new_lt17(xuu47001, xuu48001, app(ty_[], cbg)) → new_lt12(xuu47001, xuu48001, cbg)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs5(xuu47001, xuu48001, ccb, ccc, ccd)
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, ccg), cch)) → new_esEs7(xuu47001, xuu48001, ccg, cch)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, cca)) → new_esEs4(xuu47001, xuu48001, cca)
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, cce), ccf)) → new_esEs6(xuu47001, xuu48001, cce, ccf)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, cbh)) → new_esEs16(xuu47001, xuu48001, cbh)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_esEs19(xuu47001, xuu48001, app(ty_[], cbg)) → new_esEs13(xuu47001, xuu48001, cbg)
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, cdb)) → new_ltEs9(xuu47002, xuu48002, cdb)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs15(xuu47002, xuu48002, cdd, cde, cdf)
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(ty_[], cda)) → new_ltEs8(xuu47002, xuu48002, cda)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, cea), ceb)) → new_ltEs17(xuu47002, xuu48002, cea, ceb)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, cdc)) → new_ltEs7(xuu47002, xuu48002, cdc)
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, cdg), cdh)) → new_ltEs16(xuu47002, xuu48002, cdg, cdh)
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_compare7(@0, @0) → EQ
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_ltEs6(True, False) → False
new_ltEs6(False, True) → True
new_ltEs6(True, True) → True
new_ltEs6(False, False) → True
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_lt12(xuu47000, xuu48000, bha) → new_esEs9(new_compare0(xuu47000, xuu48000, bha), LT)
new_lt13(xuu47000, xuu48000, bhb) → new_esEs9(new_compare30(xuu47000, xuu48000, bhb), LT)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_compare24(xuu47000, xuu48000, True) → EQ
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_compare11(xuu47000, xuu48000, False) → GT
new_compare11(xuu47000, xuu48000, True) → LT
new_lt5(xuu47000, xuu48000, dd) → new_esEs9(new_compare8(xuu47000, xuu48000, dd), LT)
new_compare8(xuu47000, xuu48000, dd) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, dd), dd)
new_compare25(xuu47000, xuu48000, True, dd) → EQ
new_compare25(xuu47000, xuu48000, False, dd) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, dd), dd)
new_compare12(xuu47000, xuu48000, False, dd) → GT
new_compare12(xuu47000, xuu48000, True, dd) → LT
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare210(xuu47000, xuu48000, True) → EQ
new_compare10(xuu47000, xuu48000, True) → LT
new_compare10(xuu47000, xuu48000, False) → GT
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_lt11(xuu47000, xuu48000, bec, bed) → new_esEs9(new_compare29(xuu47000, xuu48000, bec, bed), LT)
new_lt19(xuu47000, xuu48000, de, df, dg) → new_esEs9(new_compare32(xuu47000, xuu48000, de, df, dg), LT)
new_compare32(xuu47000, xuu48000, de, df, dg) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_compare26(xuu47000, xuu48000, False, de, df, dg) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, de, df, dg), de, df, dg)
new_compare26(xuu47000, xuu48000, True, de, df, dg) → EQ
new_compare13(xuu47000, xuu48000, False, de, df, dg) → GT
new_compare13(xuu47000, xuu48000, True, de, df, dg) → LT
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_lt7(xuu47000, xuu48000, ff, fg) → new_esEs9(new_compare17(xuu47000, xuu48000, ff, fg), LT)
new_compare17(xuu47000, xuu48000, ff, fg) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, ff, fg), ff, fg)
new_compare28(xuu47000, xuu48000, True, ff, fg) → EQ
new_compare28(xuu47000, xuu48000, False, ff, fg) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, ff, fg), ff, fg)
new_compare110(xuu47000, xuu48000, True, ff, fg) → LT
new_compare110(xuu47000, xuu48000, False, ff, fg) → GT
new_esEs32(xuu36, xuu31, ty_@0) → new_esEs15(xuu36, xuu31)
new_esEs32(xuu36, xuu31, ty_Integer) → new_esEs17(xuu36, xuu31)
new_esEs32(xuu36, xuu31, app(app(ty_@2, cf), cg)) → new_esEs6(xuu36, xuu31, cf, cg)
new_esEs32(xuu36, xuu31, ty_Ordering) → new_esEs9(xuu36, xuu31)
new_esEs32(xuu36, xuu31, app(ty_Maybe, da)) → new_esEs4(xuu36, xuu31, da)
new_esEs32(xuu36, xuu31, ty_Double) → new_esEs14(xuu36, xuu31)
new_esEs32(xuu36, xuu31, app(app(app(ty_@3, cc), cd), ce)) → new_esEs5(xuu36, xuu31, cc, cd, ce)
new_esEs32(xuu36, xuu31, app(app(ty_Either, db), dc)) → new_esEs7(xuu36, xuu31, db, dc)
new_esEs32(xuu36, xuu31, app(ty_[], ca)) → new_esEs13(xuu36, xuu31, ca)
new_esEs32(xuu36, xuu31, ty_Bool) → new_esEs11(xuu36, xuu31)
new_esEs32(xuu36, xuu31, app(ty_Ratio, cb)) → new_esEs16(xuu36, xuu31, cb)
new_esEs32(xuu36, xuu31, ty_Int) → new_esEs10(xuu36, xuu31)
new_esEs32(xuu36, xuu31, ty_Float) → new_esEs12(xuu36, xuu31)
new_esEs32(xuu36, xuu31, ty_Char) → new_esEs8(xuu36, xuu31)

The set Q consists of the following terms:

new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_compare11(x0, x1, False)
new_compare16(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_lt14(x0, x1)
new_esEs32(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_compare33(x0, x1, ty_@0)
new_esEs19(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare33(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt16(x0, x1, app(ty_Ratio, x2))
new_esEs13([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_ltEs7(Nothing, Nothing, x0)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs25(x0, x1, ty_Double)
new_ltEs12(GT, GT)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs32(x0, x1, ty_Char)
new_compare26(x0, x1, False, x2, x3, x4)
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Char)
new_compare25(x0, x1, False, x2)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs9(EQ, GT)
new_esEs9(GT, EQ)
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs7(Nothing, Just(x0), x1)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_compare17(x0, x1, x2, x3)
new_compare18(x0, x1, True, x2, x3)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, x2)
new_lt17(x0, x1, ty_Integer)
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_lt12(x0, x1, x2)
new_lt16(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_compare29(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs31(x0, x1, ty_Char)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare9(x0, x1)
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_compare14(Char(x0), Char(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Nothing, x1)
new_esEs9(EQ, LT)
new_esEs9(LT, EQ)
new_compare210(x0, x1, False)
new_esEs23(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt17(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Ordering)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_lt20(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(Char(x0), Char(x1))
new_primPlusNat1(Succ(x0), Zero)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_lt17(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Int)
new_esEs18(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Float)
new_compare19(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_@0)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Bool)
new_primEqNat0(Zero, Succ(x0))
new_ltEs20(x0, x1, ty_Float)
new_compare0([], [], x0)
new_esEs18(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_lt16(x0, x1, ty_Char)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt17(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Zero, Zero)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primMulNat0(Zero, Succ(x0))
new_primCompAux0(x0, GT)
new_compare12(x0, x1, True, x2)
new_esEs32(x0, x1, ty_@0)
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare26(x0, x1, True, x2, x3, x4)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_lt16(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs13(:(x0, x1), [], x2)
new_sr0(Integer(x0), Integer(x1))
new_compare27(x0, x1, True, x2, x3)
new_ltEs6(True, False)
new_ltEs6(False, True)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs24(x0, x1, ty_Float)
new_lt17(x0, x1, app(ty_[], x2))
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_lt16(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs10(x0, x1)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Int)
new_esEs9(GT, GT)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_pePe(True, x0)
new_lt18(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_lt17(x0, x1, app(ty_Maybe, x2))
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_primMulInt(Pos(x0), Pos(x1))
new_compare33(x0, x1, ty_Float)
new_lt16(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs12(EQ, EQ)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(False, False)
new_esEs20(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs9(EQ, EQ)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare32(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_compare15(Float(x0, x1), Float(x2, x3))
new_compare18(x0, x1, False, x2, x3)
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(x0, x1, x2)
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt9(x0, x1)
new_compare28(x0, x1, False, x2, x3)
new_lt7(x0, x1, x2, x3)
new_esEs26(x0, x1, ty_Int)
new_ltEs18(x0, x1, ty_Float)
new_ltEs5(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare7(@0, @0)
new_esEs4(Nothing, Nothing, x0)
new_ltEs18(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Double)
new_esEs13([], [], x0)
new_esEs26(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Bool)
new_compare210(x0, x1, True)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Int)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_compare28(x0, x1, True, x2, x3)
new_esEs32(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs18(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Double)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(Zero, Zero)
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_compare12(x0, x1, False, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_ltEs18(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Ordering)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_ltEs8(x0, x1, x2)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare5(Integer(x0), Integer(x1))
new_lt19(x0, x1, x2, x3, x4)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_lt5(x0, x1, x2)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare25(x0, x1, True, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True)
new_esEs31(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Float)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_lt16(x0, x1, ty_Bool)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_ltEs21(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_lt16(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs10(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, ty_Double)
new_esEs18(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Float)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_primCmpNat0(Zero, Succ(x0))
new_compare8(x0, x1, x2)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare33(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_compare110(x0, x1, True, x2, x3)
new_compare33(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs4(x0, x1)
new_esEs19(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, True)
new_esEs27(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs19(x0, x1, app(ty_[], x2))
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, ty_Ordering)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Float)
new_lt16(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs19(x0, x1, ty_Ordering)
new_compare110(x0, x1, False, x2, x3)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_primPlusNat0(Zero, x0)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs27(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(LT, LT)
new_esEs28(x0, x1, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_esEs4(Nothing, Just(x0), x1)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs20(x0, x1, ty_Bool)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)

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

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

new_foldl(xuu3, :(xuu40, xuu41), h, ba, bb) → new_foldl(new_addListToFM_CAdd(xuu3, xuu40, h, ba, bb), xuu41, h, ba, bb)

The TRS R consists of the following rules:

new_esEs28(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs29(xuu19, xuu14, ty_Integer) → new_esEs17(xuu19, xuu14)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Maybe, ge)) → new_esEs4(xuu40000, xuu3000, ge)
new_addToFM_C13(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, h, ba, bb) → Branch(Right(xuu4000), new_addListToFM0(xuu31, xuu401, bb), xuu32, xuu33, xuu34)
new_primCmpInt1(Branch(xuu500, xuu501, xuu502, xuu503, xuu504), xuu34, xuu300, xuu31, h, ba, bb) → new_primCmpInt(new_primPlusInt(xuu502, new_mkBalBranch6Size_r(xuu34, xuu300, xuu31, Branch(xuu500, xuu501, xuu502, xuu503, xuu504), h, ba, bb)), Pos(Succ(Succ(Zero))))
new_esEs28(xuu40000, xuu3000, app(ty_[], cdb)) → new_esEs13(xuu40000, xuu3000, cdb)
new_esEs26(xuu40002, xuu3002, ty_@0) → new_esEs15(xuu40002, xuu3002)
new_ltEs19(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, app(app(ty_Either, ddg), ddh)) → new_esEs7(xuu40001, xuu3001, ddg, ddh)
new_ltEs19(xuu4700, xuu4800, app(ty_[], cfe)) → new_ltEs8(xuu4700, xuu4800, cfe)
new_lt15(xuu47000, xuu48000) → new_esEs9(new_compare31(xuu47000, xuu48000), LT)
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_Either, bgf), bgg), bff) → new_esEs7(xuu40000, xuu3000, bgf, bgg)
new_esEs31(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_mkBalBranch6MkBalBranch010(xuu340, xuu341, xuu342, xuu343, xuu344, xuu300, xuu31, xuu42, True, h, ba, bb) → new_mkBranch(Succ(Succ(Zero)), xuu340, xuu341, new_mkBranch(Succ(Succ(Succ(Zero))), Right(xuu300), xuu31, xuu42, xuu343, app(app(ty_Either, h), ba), bb), xuu344, app(app(ty_Either, h), ba), bb)
new_compare31(xuu47000, xuu48000) → new_compare210(xuu47000, xuu48000, new_esEs9(xuu47000, xuu48000))
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_[], cgg), cfd) → new_ltEs8(xuu47000, xuu48000, cgg)
new_esEs18(xuu40000, xuu3000, app(app(ty_@2, bab), bac)) → new_esEs6(xuu40000, xuu3000, bab, bac)
new_esEs24(xuu40000, xuu3000, app(app(app(ty_@3, dec), ded), dee)) → new_esEs5(xuu40000, xuu3000, dec, ded, dee)
new_esEs25(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs9(LT, GT) → False
new_esEs9(GT, LT) → False
new_ltEs9(xuu4700, xuu4800, ceh) → new_fsEs(new_compare30(xuu4700, xuu4800, ceh))
new_ltEs20(xuu47002, xuu48002, app(ty_Ratio, bcf)) → new_ltEs9(xuu47002, xuu48002, bcf)
new_esEs13([], [], hd) → True
new_ltEs12(LT, GT) → True
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Maybe, bge), bff) → new_esEs4(xuu40000, xuu3000, bge)
new_lt19(xuu47000, xuu48000, bf, bg, bh) → new_esEs9(new_compare32(xuu47000, xuu48000, bf, bg, bh), LT)
new_compare110(xuu47000, xuu48000, True, fb, fc) → LT
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_Double) → new_esEs14(xuu19, xuu14)
new_esEs26(xuu40002, xuu3002, ty_Double) → new_esEs14(xuu40002, xuu3002)
new_esEs4(Just(xuu40000), Nothing, fd) → False
new_esEs4(Nothing, Just(xuu3000), fd) → False
new_esEs30(xuu4000, xuu300, app(ty_[], hd)) → new_esEs13(xuu4000, xuu300, hd)
new_esEs24(xuu40000, xuu3000, app(ty_Maybe, deh)) → new_esEs4(xuu40000, xuu3000, deh)
new_addToFM_C15(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, False, bdh, bea, beb) → Branch(Right(xuu36), new_addListToFM0(xuu32, xuu37, beb), xuu33, xuu34, xuu35)
new_compare33(xuu47000, xuu48000, ty_Char) → new_compare14(xuu47000, xuu48000)
new_esEs31(xuu4000, xuu300, app(app(app(ty_@3, dbg), dbh), dca)) → new_esEs5(xuu4000, xuu300, dbg, dbh, dca)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Double, cfd) → new_ltEs5(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, app(ty_[], hb)) → new_lt12(xuu47000, xuu48000, hb)
new_ltEs6(True, False) → False
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(app(ty_@3, bfh), bga), bgb), bff) → new_esEs5(xuu40000, xuu3000, bfh, bga, bgb)
new_esEs20(xuu47000, xuu48000, app(ty_[], hb)) → new_esEs13(xuu47000, xuu48000, hb)
new_compare13(xuu47000, xuu48000, False, bf, bg, bh) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_ltEs12(LT, LT) → True
new_esEs32(xuu36, xuu31, ty_@0) → new_esEs15(xuu36, xuu31)
new_compare29(xuu47000, xuu48000, gh, ha) → new_compare27(xuu47000, xuu48000, new_esEs7(xuu47000, xuu48000, gh, ha), gh, ha)
new_ltEs18(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, ty_Ordering) → new_esEs9(xuu47001, xuu48001)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Double, bff) → new_esEs14(xuu40000, xuu3000)
new_lt16(xuu47000, xuu48000, app(app(ty_Either, gh), ha)) → new_lt11(xuu47000, xuu48000, gh, ha)
new_esEs20(xuu47000, xuu48000, app(ty_Maybe, be)) → new_esEs4(xuu47000, xuu48000, be)
new_esEs20(xuu47000, xuu48000, app(ty_Ratio, bbb)) → new_esEs16(xuu47000, xuu48000, bbb)
new_compare25(xuu47000, xuu48000, True, be) → EQ
new_lt17(xuu47001, xuu48001, app(app(ty_@2, bca), bcb)) → new_lt7(xuu47001, xuu48001, bca, bcb)
new_esEs23(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs19(xuu47001, xuu48001, ty_Int) → new_esEs10(xuu47001, xuu48001)
new_compare32(xuu47000, xuu48000, bf, bg, bh) → new_compare26(xuu47000, xuu48000, new_esEs5(xuu47000, xuu48000, bf, bg, bh), bf, bg, bh)
new_esEs18(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_mkBalBranch6MkBalBranch30(xuu34, xuu300, xuu31, xuu42, False, h, ba, bb) → new_mkBranch(Succ(Zero), Right(xuu300), xuu31, xuu42, xuu34, app(app(ty_Either, h), ba), bb)
new_esEs30(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_esEs23(xuu40001, xuu3001, app(ty_Maybe, ddf)) → new_esEs4(xuu40001, xuu3001, ddf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_@2, dhc), dhd)) → new_ltEs16(xuu47001, xuu48001, dhc, dhd)
new_esEs30(xuu4000, xuu300, app(app(ty_Either, bgh), bff)) → new_esEs7(xuu4000, xuu300, bgh, bff)
new_ltEs21(xuu47001, xuu48001, ty_Float) → new_ltEs10(xuu47001, xuu48001)
new_mkBalBranch6Size_r0(xuu34, xuu300, xuu31, xuu42, h, ba, bb) → new_sizeFM0(xuu34, h, ba, bb)
new_mkBalBranch6MkBalBranch40(Branch(xuu340, xuu341, xuu342, xuu343, xuu344), xuu300, xuu31, xuu42, True, h, ba, bb) → new_mkBalBranch6MkBalBranch010(xuu340, xuu341, xuu342, xuu343, xuu344, xuu300, xuu31, xuu42, new_lt14(new_sizeFM0(xuu343, h, ba, bb), new_sr(Pos(Succ(Succ(Zero))), new_sizeFM0(xuu344, h, ba, bb))), h, ba, bb)
new_compare19(xuu47, xuu48) → new_primCmpInt(xuu47, xuu48)
new_ltEs18(xuu4700, xuu4800, app(ty_Ratio, ceh)) → new_ltEs9(xuu4700, xuu4800, ceh)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, app(app(app(ty_@3, bhc), bhd), bhe)) → new_esEs5(xuu40000, xuu3000, bhc, bhd, bhe)
new_ltEs19(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs18(xuu4700, xuu4800, app(ty_[], hc)) → new_ltEs8(xuu4700, xuu4800, hc)
new_ltEs12(LT, EQ) → True
new_lt16(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_lt16(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Float) → new_compare15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs5(xuu47001, xuu48001, bbf, bbg, bbh)
new_esEs26(xuu40002, xuu3002, app(ty_Maybe, cbe)) → new_esEs4(xuu40002, xuu3002, cbe)
new_esEs20(xuu47000, xuu48000, app(app(ty_@2, fb), fc)) → new_esEs6(xuu47000, xuu48000, fb, fc)
new_mkBranch(xuu238, xuu239, xuu240, xuu241, xuu242, bc, bd) → Branch(xuu239, xuu240, new_primPlusInt(new_primPlusInt(Pos(Succ(Zero)), new_sizeFM(xuu241, bc, bd)), new_sizeFM(xuu242, bc, bd)), xuu241, xuu242)
new_esEs32(xuu36, xuu31, ty_Integer) → new_esEs17(xuu36, xuu31)
new_esEs6(@2(xuu40000, xuu40001), @2(xuu3000, xuu3001), dbc, dbd) → new_asAs(new_esEs24(xuu40000, xuu3000, dbc), new_esEs23(xuu40001, xuu3001, dbd))
new_lt20(xuu47000, xuu48000, ty_Ordering) → new_lt15(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(app(app(ty_@3, cdd), cde), cdf)) → new_esEs5(xuu40000, xuu3000, cdd, cde, cdf)
new_esEs27(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_mkBalBranch6Size_l0(xuu34, xuu300, xuu31, xuu42, h, ba, bb) → new_sizeFM0(xuu42, h, ba, bb)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_Either, dd), de)) → new_ltEs17(xuu47000, xuu48000, dd, de)
new_esEs17(Integer(xuu40000), Integer(xuu3000)) → new_primEqInt(xuu40000, xuu3000)
new_esEs23(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_esEs32(xuu36, xuu31, app(app(ty_@2, beh), bfa)) → new_esEs6(xuu36, xuu31, beh, bfa)
new_pePe(False, xuu185) → xuu185
new_compare33(xuu47000, xuu48000, ty_@0) → new_compare7(xuu47000, xuu48000)
new_addToFM_C14(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, False, df, dg, ca) → Branch(Left(xuu19), new_addListToFM0(xuu15, xuu20, ca), xuu16, xuu17, xuu18)
new_esEs7(Right(xuu40000), Left(xuu3000), bgh, bff) → False
new_esEs7(Left(xuu40000), Right(xuu3000), bgh, bff) → False
new_esEs19(xuu47001, xuu48001, ty_@0) → new_esEs15(xuu47001, xuu48001)
new_ltEs19(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_ltEs15(@3(xuu47000, xuu47001, xuu47002), @3(xuu48000, xuu48001, xuu48002), bag, bah, bba) → new_pePe(new_lt16(xuu47000, xuu48000, bag), new_asAs(new_esEs20(xuu47000, xuu48000, bag), new_pePe(new_lt17(xuu47001, xuu48001, bah), new_asAs(new_esEs19(xuu47001, xuu48001, bah), new_ltEs20(xuu47002, xuu48002, bba)))))
new_esEs27(xuu40001, xuu3001, app(app(ty_Either, cch), cda)) → new_esEs7(xuu40001, xuu3001, cch, cda)
new_addToFM_C23(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, h, ba, bb) → new_mkBalBranch(xuu300, xuu31, new_addToFM_C0(xuu33, Right(xuu4000), xuu401, h, ba, bb), xuu34, h, ba, bb)
new_esEs27(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, app(ty_Ratio, bhb)) → new_esEs16(xuu40000, xuu3000, bhb)
new_esEs28(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_esEs32(xuu36, xuu31, ty_Ordering) → new_esEs9(xuu36, xuu31)
new_ltEs20(xuu47002, xuu48002, ty_Double) → new_ltEs5(xuu47002, xuu48002)
new_ltEs20(xuu47002, xuu48002, app(app(app(ty_@3, bch), bda), bdb)) → new_ltEs15(xuu47002, xuu48002, bch, bda, bdb)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Maybe, cha), cfd) → new_ltEs7(xuu47000, xuu48000, cha)
new_lt18(xuu47000, xuu48000) → new_esEs9(new_compare6(xuu47000, xuu48000), LT)
new_esEs9(GT, EQ) → False
new_esEs9(EQ, GT) → False
new_esEs19(xuu47001, xuu48001, app(app(ty_Either, bcc), bcd)) → new_esEs7(xuu47001, xuu48001, bcc, bcd)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, ty_Integer) → new_ltEs4(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Ratio, cdc)) → new_esEs16(xuu40000, xuu3000, cdc)
new_esEs20(xuu47000, xuu48000, ty_Integer) → new_esEs17(xuu47000, xuu48000)
new_addToFM_C15(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bdh, bea, beb) → new_mkBalBranch0(xuu31, xuu32, xuu34, new_addToFM_C0(xuu35, Right(xuu36), xuu37, bdh, bea, beb), bdh, bea, beb)
new_lt16(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_@2, dga), dgb)) → new_lt7(xuu47000, xuu48000, dga, dgb)
new_esEs32(xuu36, xuu31, app(ty_Maybe, bfb)) → new_esEs4(xuu36, xuu31, bfb)
new_ltEs18(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Double) → new_esEs14(xuu40001, xuu3001)
new_primCmpNat0(Zero, Succ(xuu4800)) → LT
new_ltEs20(xuu47002, xuu48002, ty_Ordering) → new_ltEs12(xuu47002, xuu48002)
new_lt16(xuu47000, xuu48000, app(app(app(ty_@3, bf), bg), bh)) → new_lt19(xuu47000, xuu48000, bf, bg, bh)
new_ltEs19(xuu4700, xuu4800, ty_Bool) → new_ltEs6(xuu4700, xuu4800)
new_ltEs8(xuu4700, xuu4800, hc) → new_fsEs(new_compare0(xuu4700, xuu4800, hc))
new_esEs25(xuu47000, xuu48000, app(app(ty_@2, dga), dgb)) → new_esEs6(xuu47000, xuu48000, dga, dgb)
new_esEs26(xuu40002, xuu3002, ty_Bool) → new_esEs11(xuu40002, xuu3002)
new_lt16(xuu47000, xuu48000, app(app(ty_@2, fb), fc)) → new_lt7(xuu47000, xuu48000, fb, fc)
new_addToFM_C16(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, h, ba, bb) → new_mkBalBranch0(xuu300, xuu31, xuu33, new_addToFM_C0(xuu34, Left(xuu4000), xuu401, h, ba, bb), h, ba, bb)
new_ltEs18(xuu4700, xuu4800, ty_@0) → new_ltEs13(xuu4700, xuu4800)
new_esEs19(xuu47001, xuu48001, app(ty_Maybe, bbe)) → new_esEs4(xuu47001, xuu48001, bbe)
new_ltEs18(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_[], cc)) → new_ltEs8(xuu47000, xuu48000, cc)
new_esEs20(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_esEs18(xuu40000, xuu3000, app(ty_[], he)) → new_esEs13(xuu40000, xuu3000, he)
new_ltEs14(xuu4700, xuu4800) → new_fsEs(new_compare19(xuu4700, xuu4800))
new_esEs24(xuu40000, xuu3000, app(app(ty_Either, dfa), dfb)) → new_esEs7(xuu40000, xuu3000, dfa, dfb)
new_esEs18(xuu40000, xuu3000, app(ty_Ratio, hf)) → new_esEs16(xuu40000, xuu3000, hf)
new_compare0([], [], hc) → EQ
new_esEs24(xuu40000, xuu3000, app(app(ty_@2, def), deg)) → new_esEs6(xuu40000, xuu3000, def, deg)
new_pePe(True, xuu185) → True
new_primEqNat0(Zero, Zero) → True
new_esEs32(xuu36, xuu31, ty_Double) → new_esEs14(xuu36, xuu31)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, ty_Bool) → new_ltEs6(xuu47000, xuu48000)
new_lt8(xuu47000, xuu48000) → new_esEs9(new_compare5(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, ty_Float) → new_ltEs10(xuu4700, xuu4800)
new_addToFM_C0(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, h, ba, bb) → new_addToFM_C26(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, h, ba), LT), h, ba, bb)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Ordering, bff) → new_esEs9(xuu40000, xuu3000)
new_esEs29(xuu19, xuu14, app(ty_[], dh)) → new_esEs13(xuu19, xuu14, dh)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Float, cfd) → new_ltEs10(xuu47000, xuu48000)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Ordering, cfd) → new_ltEs12(xuu47000, xuu48000)
new_ltEs17(Right(xuu47000), Left(xuu48000), cfc, cfd) → False
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_mkBalBranch6Size_l(xuu34, xuu300, xuu31, xuu50, h, ba, bb) → new_sizeFM0(xuu50, h, ba, bb)
new_lt11(xuu47000, xuu48000, gh, ha) → new_esEs9(new_compare29(xuu47000, xuu48000, gh, ha), LT)
new_compare110(xuu47000, xuu48000, False, fb, fc) → GT
new_ltEs18(xuu4700, xuu4800, app(app(ty_Either, cfc), cfd)) → new_ltEs17(xuu4700, xuu4800, cfc, cfd)
new_compare12(xuu47000, xuu48000, False, be) → GT
new_sr(xuu40001, xuu3001) → new_primMulInt(xuu40001, xuu3001)
new_esEs18(xuu40000, xuu3000, app(app(app(ty_@3, hg), hh), baa)) → new_esEs5(xuu40000, xuu3000, hg, hh, baa)
new_lt20(xuu47000, xuu48000, ty_Float) → new_lt9(xuu47000, xuu48000)
new_esEs31(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_primPlusInt(Neg(xuu5020), Neg(xuu1190)) → Neg(new_primPlusNat1(xuu5020, xuu1190))
new_esEs30(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_primPlusNat0(Succ(xuu1280), xuu300100) → Succ(Succ(new_primPlusNat1(xuu1280, xuu300100)))
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Int, bff) → new_esEs10(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(app(ty_@3, cf), cg), da)) → new_ltEs15(xuu47000, xuu48000, cf, cg, da)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, app(app(ty_Either, caa), cab)) → new_esEs7(xuu40000, xuu3000, caa, cab)
new_esEs31(xuu4000, xuu300, app(app(ty_Either, dce), dcf)) → new_esEs7(xuu4000, xuu300, dce, dcf)
new_addToFM_C25(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, True, bdh, bea, beb) → new_mkBalBranch0(xuu31, xuu32, new_addToFM_C0(xuu34, Right(xuu36), xuu37, bdh, bea, beb), xuu35, bdh, bea, beb)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, app(ty_[], bha)) → new_esEs13(xuu40000, xuu3000, bha)
new_addToFM_C0(EmptyFM, xuu400, xuu401, h, ba, bb) → Branch(xuu400, xuu401, Pos(Succ(Zero)), new_emptyFM(h, ba, bb), new_emptyFM(h, ba, bb))
new_ltEs10(xuu4700, xuu4800) → new_fsEs(new_compare15(xuu4700, xuu4800))
new_ltEs19(xuu4700, xuu4800, app(app(app(ty_@3, cfh), cga), cgb)) → new_ltEs15(xuu4700, xuu4800, cfh, cga, cgb)
new_esEs29(xuu19, xuu14, ty_Bool) → new_esEs11(xuu19, xuu14)
new_ltEs4(xuu4700, xuu4800) → new_fsEs(new_compare5(xuu4700, xuu4800))
new_ltEs20(xuu47002, xuu48002, ty_Int) → new_ltEs14(xuu47002, xuu48002)
new_primCmpInt1(EmptyFM, xuu34, xuu300, xuu31, h, ba, bb) → new_primCmpInt(new_primPlusInt(Pos(Zero), new_mkBalBranch6Size_r(xuu34, xuu300, xuu31, EmptyFM, h, ba, bb)), Pos(Succ(Succ(Zero))))
new_esEs9(EQ, EQ) → True
new_fsEs(xuu168) → new_not(new_esEs9(xuu168, GT))
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_primEqInt(Neg(Succ(xuu400000)), Neg(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_mkBalBranch6MkBalBranch4(xuu34, xuu300, xuu31, xuu50, False, h, ba, bb) → new_mkBalBranch6MkBalBranch3(xuu34, xuu300, xuu31, xuu50, new_gt(new_mkBalBranch6Size_l(xuu34, xuu300, xuu31, xuu50, h, ba, bb), new_sr(new_sIZE_RATIO, new_mkBalBranch6Size_r(xuu34, xuu300, xuu31, xuu50, h, ba, bb))), h, ba, bb)
new_sizeFM0(Branch(xuu340, xuu341, xuu342, xuu343, xuu344), h, ba, bb) → xuu342
new_esEs25(xuu47000, xuu48000, ty_Bool) → new_esEs11(xuu47000, xuu48000)
new_addToFM_C16(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, h, ba, bb) → Branch(Left(xuu4000), new_addListToFM0(xuu31, xuu401, bb), xuu32, xuu33, xuu34)
new_esEs26(xuu40002, xuu3002, app(ty_[], caf)) → new_esEs13(xuu40002, xuu3002, caf)
new_ltEs19(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_lt14(xuu470, xuu480) → new_esEs9(new_compare19(xuu470, xuu480), LT)
new_esEs31(xuu4000, xuu300, ty_Int) → new_esEs10(xuu4000, xuu300)
new_primPlusNat1(Zero, Succ(xuu11900)) → Succ(xuu11900)
new_primPlusNat1(Succ(xuu50200), Zero) → Succ(xuu50200)
new_esEs30(xuu4000, xuu300, app(ty_Maybe, fd)) → new_esEs4(xuu4000, xuu300, fd)
new_compare33(xuu47000, xuu48000, ty_Double) → new_compare6(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Double) → new_ltEs5(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Int) → new_ltEs14(xuu47000, xuu48000)
new_esEs28(xuu40000, xuu3000, app(ty_Maybe, cea)) → new_esEs4(xuu40000, xuu3000, cea)
new_esEs31(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_ltEs19(xuu4700, xuu4800, app(ty_Ratio, cff)) → new_ltEs9(xuu4700, xuu4800, cff)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Int, cfd) → new_ltEs14(xuu47000, xuu48000)
new_mkBalBranch6MkBalBranch110(xuu34, xuu300, xuu31, xuu500, xuu501, xuu502, xuu503, EmptyFM, False, h, ba, bb) → error([])
new_lt16(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_mkBalBranch6MkBalBranch40(EmptyFM, xuu300, xuu31, xuu42, True, h, ba, bb) → error([])
new_esEs7(Left(xuu40000), Left(xuu3000), app(app(ty_@2, bgc), bgd), bff) → new_esEs6(xuu40000, xuu3000, bgc, bgd)
new_ltEs12(EQ, EQ) → True
new_esEs32(xuu36, xuu31, app(app(app(ty_@3, bee), bef), beg)) → new_esEs5(xuu36, xuu31, bee, bef, beg)
new_mkBalBranch6MkBalBranch4(Branch(xuu340, xuu341, xuu342, xuu343, xuu344), xuu300, xuu31, xuu50, True, h, ba, bb) → new_mkBalBranch6MkBalBranch01(xuu340, xuu341, xuu342, xuu343, xuu344, xuu300, xuu31, xuu50, new_lt14(new_sizeFM0(xuu343, h, ba, bb), new_sr(Pos(Succ(Succ(Zero))), new_sizeFM0(xuu344, h, ba, bb))), h, ba, bb)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs19(xuu4700, xuu4800, ty_Integer) → new_ltEs4(xuu4700, xuu4800)
new_primEqInt(Neg(Succ(xuu400000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xuu30000))) → False
new_primCompAux0(xuu199, GT) → GT
new_lt20(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_esEs25(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_addListToFM0(xuu15, xuu20, ca) → xuu20
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, app(app(app(ty_@3, dad), dae), daf)) → new_ltEs15(xuu47000, xuu48000, dad, dae, daf)
new_compare33(xuu47000, xuu48000, app(ty_Ratio, eab)) → new_compare30(xuu47000, xuu48000, eab)
new_ltEs19(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs23(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_@0, cfd) → new_ltEs13(xuu47000, xuu48000)
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Int) → new_compare19(new_sr(xuu47000, xuu48001), new_sr(xuu48000, xuu47001))
new_lt20(xuu47000, xuu48000, app(ty_Maybe, dfe)) → new_lt5(xuu47000, xuu48000, dfe)
new_ltEs20(xuu47002, xuu48002, app(ty_[], bce)) → new_ltEs8(xuu47002, xuu48002, bce)
new_esEs12(Float(xuu40000, xuu40001), Float(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_ltEs21(xuu47001, xuu48001, ty_Int) → new_ltEs14(xuu47001, xuu48001)
new_esEs26(xuu40002, xuu3002, app(app(ty_Either, cbf), cbg)) → new_esEs7(xuu40002, xuu3002, cbf, cbg)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_lt17(xuu47001, xuu48001, ty_Double) → new_lt18(xuu47001, xuu48001)
new_compare14(Char(xuu47000), Char(xuu48000)) → new_primCmpNat0(xuu47000, xuu48000)
new_ltEs21(xuu47001, xuu48001, ty_Ordering) → new_ltEs12(xuu47001, xuu48001)
new_esEs18(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_@0, bff) → new_esEs15(xuu40000, xuu3000)
new_primMinusNat0(Succ(xuu50200), Zero) → Pos(Succ(xuu50200))
new_primCmpNat0(Succ(xuu4700), Succ(xuu4800)) → new_primCmpNat0(xuu4700, xuu4800)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_Either, gf), gg)) → new_esEs7(xuu40000, xuu3000, gf, gg)
new_compare27(Left(xuu4700), Left(xuu4800), False, cef, ceg) → new_compare16(xuu4700, xuu4800, new_ltEs18(xuu4700, xuu4800, cef), cef, ceg)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, app(app(ty_@2, bhf), bhg)) → new_esEs6(xuu40000, xuu3000, bhf, bhg)
new_sizeFM(EmptyFM, bc, bd) → Pos(Zero)
new_esEs30(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(ty_Maybe, dfe)) → new_esEs4(xuu47000, xuu48000, dfe)
new_esEs26(xuu40002, xuu3002, ty_Integer) → new_esEs17(xuu40002, xuu3002)
new_esEs18(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_lt17(xuu47001, xuu48001, app(app(app(ty_@3, bbf), bbg), bbh)) → new_lt19(xuu47001, xuu48001, bbf, bbg, bbh)
new_esEs11(False, False) → True
new_primEqInt(Pos(Succ(xuu400000)), Pos(Succ(xuu30000))) → new_primEqNat0(xuu400000, xuu30000)
new_compare33(xuu47000, xuu48000, app(ty_[], eaa)) → new_compare0(xuu47000, xuu48000, eaa)
new_compare27(xuu470, xuu480, True, cef, ceg) → EQ
new_lt20(xuu47000, xuu48000, app(ty_[], dfc)) → new_lt12(xuu47000, xuu48000, dfc)
new_esEs18(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_mkBalBranch6MkBalBranch01(xuu340, xuu341, xuu342, EmptyFM, xuu344, xuu300, xuu31, xuu50, False, h, ba, bb) → error([])
new_esEs32(xuu36, xuu31, app(app(ty_Either, bfc), bfd)) → new_esEs7(xuu36, xuu31, bfc, bfd)
new_esEs24(xuu40000, xuu3000, app(ty_Ratio, deb)) → new_esEs16(xuu40000, xuu3000, deb)
new_mkBalBranch6MkBalBranch3(xuu34, xuu300, xuu31, Branch(xuu500, xuu501, xuu502, xuu503, xuu504), True, h, ba, bb) → new_mkBalBranch6MkBalBranch110(xuu34, xuu300, xuu31, xuu500, xuu501, xuu502, xuu503, xuu504, new_lt14(new_sizeFM0(xuu504, h, ba, bb), new_sr(Pos(Succ(Succ(Zero))), new_sizeFM0(xuu503, h, ba, bb))), h, ba, bb)
new_lt9(xuu47000, xuu48000) → new_esEs9(new_compare15(xuu47000, xuu48000), LT)
new_ltEs18(xuu4700, xuu4800, app(app(app(ty_@3, bag), bah), bba)) → new_ltEs15(xuu4700, xuu4800, bag, bah, bba)
new_esEs31(xuu4000, xuu300, ty_Float) → new_esEs12(xuu4000, xuu300)
new_esEs20(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_ltEs6(False, True) → True
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_esEs32(xuu36, xuu31, app(ty_[], bec)) → new_esEs13(xuu36, xuu31, bec)
new_ltEs7(Nothing, Just(xuu48000), cb) → True
new_mkBalBranch6Size_r(xuu34, xuu300, xuu31, xuu50, h, ba, bb) → new_sizeFM0(xuu34, h, ba, bb)
new_lt17(xuu47001, xuu48001, app(app(ty_Either, bcc), bcd)) → new_lt11(xuu47001, xuu48001, bcc, bcd)
new_esEs8(Char(xuu40000), Char(xuu3000)) → new_primEqNat0(xuu40000, xuu3000)
new_mkBalBranch6MkBalBranch11(xuu34, xuu300, xuu31, xuu420, xuu421, xuu422, xuu423, xuu424, True, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), xuu420, xuu421, xuu423, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), Right(xuu300), xuu31, xuu424, xuu34, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_primEqNat0(Succ(xuu400000), Succ(xuu30000)) → new_primEqNat0(xuu400000, xuu30000)
new_primCompAux1(xuu47000, xuu48000, xuu186, hc) → new_primCompAux0(xuu186, new_compare33(xuu47000, xuu48000, hc))
new_esEs27(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_ltEs6(True, True) → True
new_compare7(@0, @0) → EQ
new_esEs28(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(app(ty_@2, bca), bcb)) → new_esEs6(xuu47001, xuu48001, bca, bcb)
new_mkBalBranch6MkBalBranch010(xuu340, xuu341, xuu342, EmptyFM, xuu344, xuu300, xuu31, xuu42, False, h, ba, bb) → error([])
new_sizeFM0(EmptyFM, h, ba, bb) → Pos(Zero)
new_addToFM_C0(Branch(Right(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, h, ba, bb) → new_addToFM_C25(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Right(xuu300), new_esEs31(xuu4000, xuu300, ba), h, ba), LT), h, ba, bb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(app(ty_@3, fh), ga), gb)) → new_esEs5(xuu40000, xuu3000, fh, ga, gb)
new_mkBalBranch6MkBalBranch110(xuu34, xuu300, xuu31, xuu500, xuu501, xuu502, xuu503, xuu504, True, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), xuu500, xuu501, xuu503, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), Left(xuu300), xuu31, xuu504, xuu34, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_esEs27(xuu40001, xuu3001, ty_Float) → new_esEs12(xuu40001, xuu3001)
new_esEs20(xuu47000, xuu48000, ty_Double) → new_esEs14(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_Int) → new_esEs10(xuu19, xuu14)
new_compare33(xuu47000, xuu48000, app(ty_Maybe, eac)) → new_compare8(xuu47000, xuu48000, eac)
new_esEs20(xuu47000, xuu48000, ty_Char) → new_esEs8(xuu47000, xuu48000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Int) → new_esEs10(xuu40000, xuu3000)
new_lt13(xuu47000, xuu48000, bbb) → new_esEs9(new_compare30(xuu47000, xuu48000, bbb), LT)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_@0) → new_esEs15(xuu40000, xuu3000)
new_primCmpInt(Neg(Succ(xuu4700)), Neg(xuu480)) → new_primCmpNat0(xuu480, Succ(xuu4700))
new_lt20(xuu47000, xuu48000, ty_@0) → new_lt4(xuu47000, xuu48000)
new_compare33(xuu47000, xuu48000, ty_Integer) → new_compare5(xuu47000, xuu48000)
new_compare16(xuu158, xuu159, True, ced, cee) → LT
new_mkBalBranch6MkBalBranch11(xuu34, xuu300, xuu31, xuu420, xuu421, xuu422, xuu423, EmptyFM, False, h, ba, bb) → error([])
new_esEs27(xuu40001, xuu3001, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs5(xuu40001, xuu3001, ccb, ccc, ccd)
new_compare30(:%(xuu47000, xuu47001), :%(xuu48000, xuu48001), ty_Integer) → new_compare5(new_sr0(xuu47000, xuu48001), new_sr0(xuu48000, xuu47001))
new_compare210(xuu47000, xuu48000, False) → new_compare10(xuu47000, xuu48000, new_ltEs12(xuu47000, xuu48000))
new_compare33(xuu47000, xuu48000, ty_Ordering) → new_compare31(xuu47000, xuu48000)
new_primCmpInt0(Branch(xuu420, xuu421, xuu422, xuu423, xuu424), xuu34, xuu300, xuu31, h, ba, bb) → new_primCmpInt(new_primPlusInt(xuu422, new_mkBalBranch6Size_r0(xuu34, xuu300, xuu31, Branch(xuu420, xuu421, xuu422, xuu423, xuu424), h, ba, bb)), Pos(Succ(Succ(Zero))))
new_lt17(xuu47001, xuu48001, ty_@0) → new_lt4(xuu47001, xuu48001)
new_primEqInt(Pos(Succ(xuu400000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xuu30000))) → False
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Bool, cfd) → new_ltEs6(xuu47000, xuu48000)
new_ltEs19(xuu4700, xuu4800, app(app(ty_Either, cge), cgf)) → new_ltEs17(xuu4700, xuu4800, cge, cgf)
new_compare26(xuu47000, xuu48000, False, bf, bg, bh) → new_compare13(xuu47000, xuu48000, new_ltEs15(xuu47000, xuu48000, bf, bg, bh), bf, bg, bh)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_addToFM_C26(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, h, ba, bb) → new_mkBalBranch0(xuu300, xuu31, new_addToFM_C0(xuu33, Left(xuu4000), xuu401, h, ba, bb), xuu34, h, ba, bb)
new_primCmpNat0(Zero, Zero) → EQ
new_addToFM_C24(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, df, dg, ca) → new_mkBalBranch(xuu14, xuu15, new_addToFM_C0(xuu17, Left(xuu19), xuu20, df, dg, ca), xuu18, df, dg, ca)
new_primCmpNat0(Succ(xuu4700), Zero) → GT
new_esEs31(xuu4000, xuu300, app(ty_Ratio, dbf)) → new_esEs16(xuu4000, xuu300, dbf)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, app(ty_Maybe, dac)) → new_ltEs7(xuu47000, xuu48000, dac)
new_esEs24(xuu40000, xuu3000, ty_@0) → new_esEs15(xuu40000, xuu3000)
new_mkBalBranch6MkBalBranch110(xuu34, xuu300, xuu31, xuu500, xuu501, xuu502, xuu503, Branch(xuu5040, xuu5041, xuu5042, xuu5043, xuu5044), False, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), xuu5040, xuu5041, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), xuu500, xuu501, xuu503, xuu5043, app(app(ty_Either, h), ba), bb), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), Left(xuu300), xuu31, xuu5044, xuu34, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_compare33(xuu47000, xuu48000, ty_Int) → new_compare19(xuu47000, xuu48000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu4800))) → LT
new_compare33(xuu47000, xuu48000, app(app(app(ty_@3, ead), eae), eaf)) → new_compare32(xuu47000, xuu48000, ead, eae, eaf)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Char) → new_esEs8(xuu40000, xuu3000)
new_esEs18(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, ty_Float) → new_ltEs10(xuu47000, xuu48000)
new_mkBalBranch6MkBalBranch3(xuu34, xuu300, xuu31, xuu50, False, h, ba, bb) → new_mkBranch(Succ(Zero), Left(xuu300), xuu31, xuu50, xuu34, app(app(ty_Either, h), ba), bb)
new_sr0(Integer(xuu480000), Integer(xuu470010)) → Integer(new_primMulInt(xuu480000, xuu470010))
new_primPlusNat1(Succ(xuu50200), Succ(xuu11900)) → Succ(Succ(new_primPlusNat1(xuu50200, xuu11900)))
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Float) → new_esEs12(xuu40000, xuu3000)
new_compare12(xuu47000, xuu48000, True, be) → LT
new_compare28(xuu47000, xuu48000, True, fb, fc) → EQ
new_primEqInt(Pos(Succ(xuu400000)), Neg(xuu3000)) → False
new_primEqInt(Neg(Succ(xuu400000)), Pos(xuu3000)) → False
new_esEs25(xuu47000, xuu48000, ty_Int) → new_esEs10(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, ty_Char) → new_lt10(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, ty_Integer) → new_ltEs4(xuu47002, xuu48002)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Integer, bff) → new_esEs17(xuu40000, xuu3000)
new_mkBalBranch6MkBalBranch11(xuu34, xuu300, xuu31, xuu420, xuu421, xuu422, xuu423, Branch(xuu4240, xuu4241, xuu4242, xuu4243, xuu4244), False, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), xuu4240, xuu4241, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), xuu420, xuu421, xuu423, xuu4243, app(app(ty_Either, h), ba), bb), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), Right(xuu300), xuu31, xuu4244, xuu34, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_esEs4(Just(xuu40000), Just(xuu3000), app(app(ty_@2, gc), gd)) → new_esEs6(xuu40000, xuu3000, gc, gd)
new_ltEs12(GT, EQ) → False
new_primPlusInt(Neg(xuu5020), Pos(xuu1190)) → new_primMinusNat0(xuu1190, xuu5020)
new_primPlusInt(Pos(xuu5020), Neg(xuu1190)) → new_primMinusNat0(xuu5020, xuu1190)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Double) → new_ltEs5(xuu47000, xuu48000)
new_esEs26(xuu40002, xuu3002, app(ty_Ratio, cag)) → new_esEs16(xuu40002, xuu3002, cag)
new_esEs19(xuu47001, xuu48001, ty_Bool) → new_esEs11(xuu47001, xuu48001)
new_esEs24(xuu40000, xuu3000, app(ty_[], dea)) → new_esEs13(xuu40000, xuu3000, dea)
new_lt16(xuu47000, xuu48000, app(ty_Ratio, bbb)) → new_lt13(xuu47000, xuu48000, bbb)
new_compare8(xuu47000, xuu48000, be) → new_compare25(xuu47000, xuu48000, new_esEs4(xuu47000, xuu48000, be), be)
new_esEs26(xuu40002, xuu3002, ty_Int) → new_esEs10(xuu40002, xuu3002)
new_esEs31(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_primEqInt(Pos(Zero), Neg(Succ(xuu30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu30000))) → False
new_esEs30(xuu4000, xuu300, ty_Bool) → new_esEs11(xuu4000, xuu300)
new_esEs26(xuu40002, xuu3002, ty_Float) → new_esEs12(xuu40002, xuu3002)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu4800))) → new_primCmpNat0(Zero, Succ(xuu4800))
new_esEs28(xuu40000, xuu3000, app(app(ty_Either, ceb), cec)) → new_esEs7(xuu40000, xuu3000, ceb, cec)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_compare24(xuu47000, xuu48000, True) → EQ
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, app(ty_Maybe, bhh)) → new_esEs4(xuu40000, xuu3000, bhh)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, app(ty_[], daa)) → new_ltEs8(xuu47000, xuu48000, daa)
new_esEs23(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_mkBalBranch6MkBalBranch010(xuu340, xuu341, xuu342, Branch(xuu3430, xuu3431, xuu3432, xuu3433, xuu3434), xuu344, xuu300, xuu31, xuu42, False, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), xuu3430, xuu3431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), Right(xuu300), xuu31, xuu42, xuu3433, app(app(ty_Either, h), ba), bb), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), xuu340, xuu341, xuu3434, xuu344, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_addToFM_C13(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, True, h, ba, bb) → new_mkBalBranch(xuu300, xuu31, xuu33, new_addToFM_C0(xuu34, Right(xuu4000), xuu401, h, ba, bb), h, ba, bb)
new_esEs28(xuu40000, xuu3000, ty_Float) → new_esEs12(xuu40000, xuu3000)
new_esEs27(xuu40001, xuu3001, app(ty_Ratio, cca)) → new_esEs16(xuu40001, xuu3001, cca)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Integer, cfd) → new_ltEs4(xuu47000, xuu48000)
new_addToFM_C26(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, h, ba, bb) → new_addToFM_C16(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Right(xuu300), False, h, ba), GT), h, ba, bb)
new_primCompAux0(xuu199, LT) → LT
new_esEs25(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_not(False) → True
new_esEs30(xuu4000, xuu300, app(ty_Ratio, bdg)) → new_esEs16(xuu4000, xuu300, bdg)
new_ltEs13(xuu4700, xuu4800) → new_fsEs(new_compare7(xuu4700, xuu4800))
new_primPlusNat0(Zero, xuu300100) → Succ(xuu300100)
new_primCmpInt(Pos(Succ(xuu4700)), Pos(xuu480)) → new_primCmpNat0(Succ(xuu4700), xuu480)
new_esEs23(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_mkBalBranch6MkBalBranch40(xuu34, xuu300, xuu31, xuu42, False, h, ba, bb) → new_mkBalBranch6MkBalBranch30(xuu34, xuu300, xuu31, xuu42, new_gt(new_mkBalBranch6Size_l0(xuu34, xuu300, xuu31, xuu42, h, ba, bb), new_sr(new_sIZE_RATIO, new_mkBalBranch6Size_r0(xuu34, xuu300, xuu31, xuu42, h, ba, bb))), h, ba, bb)
new_compare27(Right(xuu4700), Left(xuu4800), False, cef, ceg) → GT
new_esEs23(xuu40001, xuu3001, app(app(ty_@2, ddd), dde)) → new_esEs6(xuu40001, xuu3001, ddd, dde)
new_lt17(xuu47001, xuu48001, ty_Float) → new_lt9(xuu47001, xuu48001)
new_esEs9(GT, GT) → True
new_ltEs20(xuu47002, xuu48002, ty_Char) → new_ltEs11(xuu47002, xuu48002)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, app(app(ty_Either, dba), dbb)) → new_ltEs17(xuu47000, xuu48000, dba, dbb)
new_esEs31(xuu4000, xuu300, ty_@0) → new_esEs15(xuu4000, xuu300)
new_esEs25(xuu47000, xuu48000, app(ty_Ratio, dfd)) → new_esEs16(xuu47000, xuu48000, dfd)
new_mkBalBranch6MkBalBranch5(xuu34, xuu300, xuu31, xuu42, True, h, ba, bb) → new_mkBranch(Zero, Right(xuu300), xuu31, xuu42, xuu34, app(app(ty_Either, h), ba), bb)
new_esEs25(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_compare0(:(xuu47000, xuu47001), [], hc) → GT
new_ltEs16(@2(xuu47000, xuu47001), @2(xuu48000, xuu48001), cfa, cfb) → new_pePe(new_lt20(xuu47000, xuu48000, cfa), new_asAs(new_esEs25(xuu47000, xuu48000, cfa), new_ltEs21(xuu47001, xuu48001, cfb)))
new_ltEs18(xuu4700, xuu4800, app(ty_Maybe, cb)) → new_ltEs7(xuu4700, xuu4800, cb)
new_compare33(xuu47000, xuu48000, app(app(ty_@2, eag), eah)) → new_compare17(xuu47000, xuu48000, eag, eah)
new_esEs18(xuu40000, xuu3000, app(ty_Maybe, bad)) → new_esEs4(xuu40000, xuu3000, bad)
new_esEs28(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, app(app(ty_@2, dag), dah)) → new_ltEs16(xuu47000, xuu48000, dag, dah)
new_ltEs21(xuu47001, xuu48001, app(app(app(ty_@3, dgh), dha), dhb)) → new_ltEs15(xuu47001, xuu48001, dgh, dha, dhb)
new_esEs19(xuu47001, xuu48001, ty_Float) → new_esEs12(xuu47001, xuu48001)
new_esEs14(Double(xuu40000, xuu40001), Double(xuu3000, xuu3001)) → new_esEs10(new_sr(xuu40000, xuu3000), new_sr(xuu40001, xuu3001))
new_esEs20(xuu47000, xuu48000, app(app(app(ty_@3, bf), bg), bh)) → new_esEs5(xuu47000, xuu48000, bf, bg, bh)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Maybe, ce)) → new_ltEs7(xuu47000, xuu48000, ce)
new_primCmpInt(Pos(Succ(xuu4700)), Neg(xuu480)) → GT
new_ltEs18(xuu4700, xuu4800, app(app(ty_@2, cfa), cfb)) → new_ltEs16(xuu4700, xuu4800, cfa, cfb)
new_esEs18(xuu40000, xuu3000, app(app(ty_Either, bae), baf)) → new_esEs7(xuu40000, xuu3000, bae, baf)
new_ltEs21(xuu47001, xuu48001, app(app(ty_Either, dhe), dhf)) → new_ltEs17(xuu47001, xuu48001, dhe, dhf)
new_esEs27(xuu40001, xuu3001, ty_@0) → new_esEs15(xuu40001, xuu3001)
new_mkBalBranch(xuu300, xuu31, xuu50, xuu34, h, ba, bb) → new_mkBalBranch6MkBalBranch50(xuu34, xuu300, xuu31, xuu50, new_esEs9(new_primCmpInt1(xuu50, xuu34, xuu300, xuu31, h, ba, bb), LT), h, ba, bb)
new_ltEs20(xuu47002, xuu48002, app(app(ty_Either, bde), bdf)) → new_ltEs17(xuu47002, xuu48002, bde, bdf)
new_primMulInt(Pos(xuu400010), Pos(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_mkBalBranch0(xuu300, xuu31, xuu42, xuu34, h, ba, bb) → new_mkBalBranch6MkBalBranch5(xuu34, xuu300, xuu31, xuu42, new_esEs9(new_primCmpInt0(xuu42, xuu34, xuu300, xuu31, h, ba, bb), LT), h, ba, bb)
new_esEs27(xuu40001, xuu3001, ty_Bool) → new_esEs11(xuu40001, xuu3001)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_Either, chg), chh), cfd) → new_ltEs17(xuu47000, xuu48000, chg, chh)
new_esEs22(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_lt16(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_esEs23(xuu40001, xuu3001, ty_Ordering) → new_esEs9(xuu40001, xuu3001)
new_primMulInt(Neg(xuu400010), Neg(xuu30010)) → Pos(new_primMulNat0(xuu400010, xuu30010))
new_esEs27(xuu40001, xuu3001, app(app(ty_@2, cce), ccf)) → new_esEs6(xuu40001, xuu3001, cce, ccf)
new_ltEs12(EQ, GT) → True
new_esEs29(xuu19, xuu14, app(app(ty_@2, ee), ef)) → new_esEs6(xuu19, xuu14, ee, ef)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(ty_Ratio, cgh), cfd) → new_ltEs9(xuu47000, xuu48000, cgh)
new_mkBalBranch6MkBalBranch4(EmptyFM, xuu300, xuu31, xuu50, True, h, ba, bb) → error([])
new_primEqNat0(Succ(xuu400000), Zero) → False
new_primEqNat0(Zero, Succ(xuu30000)) → False
new_lt17(xuu47001, xuu48001, ty_Int) → new_lt14(xuu47001, xuu48001)
new_esEs20(xuu47000, xuu48000, ty_@0) → new_esEs15(xuu47000, xuu48000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, fd) → True
new_addToFM_C0(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Left(xuu4000), xuu401, h, ba, bb) → new_addToFM_C24(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Left(xuu4000), Left(xuu300), new_esEs30(xuu4000, xuu300, h), h, ba), LT), h, ba, bb)
new_ltEs21(xuu47001, xuu48001, app(ty_Ratio, dgf)) → new_ltEs9(xuu47001, xuu48001, dgf)
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_Ratio, fg)) → new_esEs16(xuu40000, xuu3000, fg)
new_compare210(xuu47000, xuu48000, True) → EQ
new_sizeFM(Branch(xuu2420, xuu2421, xuu2422, xuu2423, xuu2424), bc, bd) → xuu2422
new_esEs27(xuu40001, xuu3001, app(ty_Maybe, ccg)) → new_esEs4(xuu40001, xuu3001, ccg)
new_ltEs7(Nothing, Nothing, cb) → True
new_mkBalBranch6MkBalBranch3(xuu34, xuu300, xuu31, EmptyFM, True, h, ba, bb) → error([])
new_compare33(xuu47000, xuu48000, ty_Bool) → new_compare9(xuu47000, xuu48000)
new_lt20(xuu47000, xuu48000, app(app(ty_Either, dgc), dgd)) → new_lt11(xuu47000, xuu48000, dgc, dgd)
new_esEs29(xuu19, xuu14, app(app(app(ty_@3, eb), ec), ed)) → new_esEs5(xuu19, xuu14, eb, ec, ed)
new_compare9(xuu47000, xuu48000) → new_compare24(xuu47000, xuu48000, new_esEs11(xuu47000, xuu48000))
new_esEs4(Just(xuu40000), Just(xuu3000), app(ty_[], ff)) → new_esEs13(xuu40000, xuu3000, ff)
new_lt4(xuu47000, xuu48000) → new_esEs9(new_compare7(xuu47000, xuu48000), LT)
new_primMinusNat0(Zero, Zero) → Pos(Zero)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu4800))) → new_primCmpNat0(Succ(xuu4800), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu4800))) → GT
new_esEs30(xuu4000, xuu300, ty_Char) → new_esEs8(xuu4000, xuu300)
new_esEs11(True, False) → False
new_esEs11(False, True) → False
new_compare5(Integer(xuu47000), Integer(xuu48000)) → new_primCmpInt(xuu47000, xuu48000)
new_compare0(:(xuu47000, xuu47001), :(xuu48000, xuu48001), hc) → new_primCompAux1(xuu47000, xuu48000, new_compare0(xuu47001, xuu48001, hc), hc)
new_lt20(xuu47000, xuu48000, ty_Double) → new_lt18(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_@0) → new_esEs15(xuu19, xuu14)
new_compare27(Right(xuu4700), Right(xuu4800), False, cef, ceg) → new_compare18(xuu4700, xuu4800, new_ltEs19(xuu4700, xuu4800, ceg), cef, ceg)
new_lt17(xuu47001, xuu48001, ty_Ordering) → new_lt15(xuu47001, xuu48001)
new_compare25(xuu47000, xuu48000, False, be) → new_compare12(xuu47000, xuu48000, new_ltEs7(xuu47000, xuu48000, be), be)
new_sIZE_RATIO → Pos(Succ(Succ(Succ(Succ(Succ(Zero))))))
new_esEs26(xuu40002, xuu3002, ty_Char) → new_esEs8(xuu40002, xuu3002)
new_esEs19(xuu47001, xuu48001, ty_Double) → new_esEs14(xuu47001, xuu48001)
new_emptyFM(h, ba, bb) → EmptyFM
new_ltEs17(Left(xuu47000), Right(xuu48000), cfc, cfd) → True
new_esEs28(xuu40000, xuu3000, app(app(ty_@2, cdg), cdh)) → new_esEs6(xuu40000, xuu3000, cdg, cdh)
new_esEs30(xuu4000, xuu300, ty_Ordering) → new_esEs9(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_compare18(xuu165, xuu166, True, dhg, dhh) → LT
new_ltEs18(xuu4700, xuu4800, ty_Int) → new_ltEs14(xuu4700, xuu4800)
new_esEs20(xuu47000, xuu48000, app(app(ty_Either, gh), ha)) → new_esEs7(xuu47000, xuu48000, gh, ha)
new_esEs23(xuu40001, xuu3001, app(ty_Ratio, dch)) → new_esEs16(xuu40001, xuu3001, dch)
new_esEs16(:%(xuu40000, xuu40001), :%(xuu3000, xuu3001), bdg) → new_asAs(new_esEs22(xuu40000, xuu3000, bdg), new_esEs21(xuu40001, xuu3001, bdg))
new_lt20(xuu47000, xuu48000, ty_Char) → new_lt10(xuu47000, xuu48000)
new_esEs21(xuu40001, xuu3001, ty_Integer) → new_esEs17(xuu40001, xuu3001)
new_lt16(xuu47000, xuu48000, ty_Integer) → new_lt8(xuu47000, xuu48000)
new_primPlusInt(Pos(xuu5020), Pos(xuu1190)) → Pos(new_primPlusNat1(xuu5020, xuu1190))
new_compare24(xuu47000, xuu48000, False) → new_compare11(xuu47000, xuu48000, new_ltEs6(xuu47000, xuu48000))
new_esEs19(xuu47001, xuu48001, app(ty_Ratio, bbd)) → new_esEs16(xuu47001, xuu48001, bbd)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Char, bff) → new_esEs8(xuu40000, xuu3000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_ltEs7(Just(xuu47000), Just(xuu48000), app(app(ty_@2, db), dc)) → new_ltEs16(xuu47000, xuu48000, db, dc)
new_lt6(xuu47000, xuu48000) → new_esEs9(new_compare9(xuu47000, xuu48000), LT)
new_compare15(Float(xuu47000, xuu47001), Float(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_esEs28(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_lt7(xuu47000, xuu48000, fb, fc) → new_esEs9(new_compare17(xuu47000, xuu48000, fb, fc), LT)
new_esEs20(xuu47000, xuu48000, ty_Float) → new_esEs12(xuu47000, xuu48000)
new_esEs24(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_esEs4(Just(xuu40000), Just(xuu3000), ty_Double) → new_esEs14(xuu40000, xuu3000)
new_esEs15(@0, @0) → True
new_esEs32(xuu36, xuu31, ty_Bool) → new_esEs11(xuu36, xuu31)
new_asAs(False, xuu153) → False
new_ltEs5(xuu4700, xuu4800) → new_fsEs(new_compare6(xuu4700, xuu4800))
new_primMulInt(Neg(xuu400010), Pos(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_primMulInt(Pos(xuu400010), Neg(xuu30010)) → Neg(new_primMulNat0(xuu400010, xuu30010))
new_ltEs19(xuu4700, xuu4800, ty_Char) → new_ltEs11(xuu4700, xuu4800)
new_primMulNat0(Zero, Succ(xuu300100)) → Zero
new_primMulNat0(Succ(xuu4000100), Zero) → Zero
new_esEs13(:(xuu40000, xuu40001), [], hd) → False
new_esEs13([], :(xuu3000, xuu3001), hd) → False
new_esEs32(xuu36, xuu31, app(ty_Ratio, bed)) → new_esEs16(xuu36, xuu31, bed)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_[], bfe), bff) → new_esEs13(xuu40000, xuu3000, bfe)
new_ltEs12(GT, GT) → True
new_lt16(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_ltEs20(xuu47002, xuu48002, ty_Bool) → new_ltEs6(xuu47002, xuu48002)
new_esEs32(xuu36, xuu31, ty_Int) → new_esEs10(xuu36, xuu31)
new_esEs24(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, app(ty_Ratio, ea)) → new_esEs16(xuu19, xuu14, ea)
new_esEs11(True, True) → True
new_compare18(xuu165, xuu166, False, dhg, dhh) → GT
new_esEs29(xuu19, xuu14, ty_Char) → new_esEs8(xuu19, xuu14)
new_compare27(Left(xuu4700), Right(xuu4800), False, cef, ceg) → LT
new_esEs25(xuu47000, xuu48000, app(ty_[], dfc)) → new_esEs13(xuu47000, xuu48000, dfc)
new_addToFM_C25(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, False, bdh, bea, beb) → new_addToFM_C15(xuu31, xuu32, xuu33, xuu34, xuu35, xuu36, xuu37, new_esEs9(new_compare27(Right(xuu36), Right(xuu31), new_esEs32(xuu36, xuu31, bea), bdh, bea), GT), bdh, bea, beb)
new_ltEs17(Left(xuu47000), Left(xuu48000), ty_Char, cfd) → new_ltEs11(xuu47000, xuu48000)
new_compare28(xuu47000, xuu48000, False, fb, fc) → new_compare110(xuu47000, xuu48000, new_ltEs16(xuu47000, xuu48000, fb, fc), fb, fc)
new_esEs31(xuu4000, xuu300, app(ty_[], dbe)) → new_esEs13(xuu4000, xuu300, dbe)
new_esEs20(xuu47000, xuu48000, ty_Ordering) → new_esEs9(xuu47000, xuu48000)
new_ltEs18(xuu4700, xuu4800, ty_Ordering) → new_ltEs12(xuu4700, xuu4800)
new_mkBalBranch6MkBalBranch50(xuu34, xuu300, xuu31, xuu50, True, h, ba, bb) → new_mkBranch(Zero, Left(xuu300), xuu31, xuu50, xuu34, app(app(ty_Either, h), ba), bb)
new_primMinusNat0(Zero, Succ(xuu11900)) → Neg(Succ(xuu11900))
new_lt16(xuu47000, xuu48000, ty_Bool) → new_lt6(xuu47000, xuu48000)
new_lt17(xuu47001, xuu48001, app(ty_Maybe, bbe)) → new_lt5(xuu47001, xuu48001, bbe)
new_mkBalBranch6MkBalBranch30(xuu34, xuu300, xuu31, Branch(xuu420, xuu421, xuu422, xuu423, xuu424), True, h, ba, bb) → new_mkBalBranch6MkBalBranch11(xuu34, xuu300, xuu31, xuu420, xuu421, xuu422, xuu423, xuu424, new_lt14(new_sizeFM0(xuu424, h, ba, bb), new_sr(Pos(Succ(Succ(Zero))), new_sizeFM0(xuu423, h, ba, bb))), h, ba, bb)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(ty_@2, che), chf), cfd) → new_ltEs16(xuu47000, xuu48000, che, chf)
new_lt17(xuu47001, xuu48001, ty_Bool) → new_lt6(xuu47001, xuu48001)
new_ltEs20(xuu47002, xuu48002, ty_Float) → new_ltEs10(xuu47002, xuu48002)
new_ltEs21(xuu47001, xuu48001, ty_@0) → new_ltEs13(xuu47001, xuu48001)
new_ltEs7(Just(xuu47000), Nothing, cb) → False
new_addToFM_C14(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, True, df, dg, ca) → new_mkBalBranch(xuu14, xuu15, xuu17, new_addToFM_C0(xuu18, Left(xuu19), xuu20, df, dg, ca), df, dg, ca)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Char) → new_ltEs11(xuu47000, xuu48000)
new_addListToFM_CAdd(xuu3, @2(xuu400, xuu401), h, ba, bb) → new_addToFM_C0(xuu3, xuu400, xuu401, h, ba, bb)
new_ltEs21(xuu47001, xuu48001, ty_Integer) → new_ltEs4(xuu47001, xuu48001)
new_compare11(xuu47000, xuu48000, False) → GT
new_lt16(xuu47000, xuu48000, app(ty_Maybe, be)) → new_lt5(xuu47000, xuu48000, be)
new_esEs30(xuu4000, xuu300, app(app(ty_@2, dbc), dbd)) → new_esEs6(xuu4000, xuu300, dbc, dbd)
new_ltEs12(EQ, LT) → False
new_compare6(Double(xuu47000, xuu47001), Double(xuu48000, xuu48001)) → new_compare19(new_sr(xuu47000, xuu48000), new_sr(xuu47001, xuu48001))
new_compare16(xuu158, xuu159, False, ced, cee) → GT
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_mkBalBranch6MkBalBranch01(xuu340, xuu341, xuu342, xuu343, xuu344, xuu300, xuu31, xuu50, True, h, ba, bb) → new_mkBranch(Succ(Succ(Zero)), xuu340, xuu341, new_mkBranch(Succ(Succ(Succ(Zero))), Left(xuu300), xuu31, xuu50, xuu343, app(app(ty_Either, h), ba), bb), xuu344, app(app(ty_Either, h), ba), bb)
new_esEs9(LT, EQ) → False
new_esEs9(EQ, LT) → False
new_compare33(xuu47000, xuu48000, app(app(ty_Either, eba), ebb)) → new_compare29(xuu47000, xuu48000, eba, ebb)
new_esEs7(Left(xuu40000), Left(xuu3000), app(ty_Ratio, bfg), bff) → new_esEs16(xuu40000, xuu3000, bfg)
new_compare11(xuu47000, xuu48000, True) → LT
new_esEs31(xuu4000, xuu300, app(ty_Maybe, dcd)) → new_esEs4(xuu4000, xuu300, dcd)
new_esEs13(:(xuu40000, xuu40001), :(xuu3000, xuu3001), hd) → new_asAs(new_esEs18(xuu40000, xuu3000, hd), new_esEs13(xuu40001, xuu3001, hd))
new_ltEs19(xuu4700, xuu4800, app(ty_Maybe, cfg)) → new_ltEs7(xuu4700, xuu4800, cfg)
new_esEs25(xuu47000, xuu48000, app(app(app(ty_@3, dff), dfg), dfh)) → new_esEs5(xuu47000, xuu48000, dff, dfg, dfh)
new_ltEs21(xuu47001, xuu48001, app(ty_Maybe, dgg)) → new_ltEs7(xuu47001, xuu48001, dgg)
new_ltEs17(Left(xuu47000), Left(xuu48000), app(app(app(ty_@3, chb), chc), chd), cfd) → new_ltEs15(xuu47000, xuu48000, chb, chc, chd)
new_lt17(xuu47001, xuu48001, app(ty_Ratio, bbd)) → new_lt13(xuu47001, xuu48001, bbd)
new_esEs22(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_mkBalBranch6MkBalBranch01(xuu340, xuu341, xuu342, Branch(xuu3430, xuu3431, xuu3432, xuu3433, xuu3434), xuu344, xuu300, xuu31, xuu50, False, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), xuu3430, xuu3431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), Left(xuu300), xuu31, xuu50, xuu3433, app(app(ty_Either, h), ba), bb), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), xuu340, xuu341, xuu3434, xuu344, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_esEs29(xuu19, xuu14, app(app(ty_Either, eh), fa)) → new_esEs7(xuu19, xuu14, eh, fa)
new_esEs18(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, ty_Integer) → new_esEs17(xuu47001, xuu48001)
new_ltEs11(xuu4700, xuu4800) → new_fsEs(new_compare14(xuu4700, xuu4800))
new_esEs5(@3(xuu40000, xuu40001, xuu40002), @3(xuu3000, xuu3001, xuu3002), cac, cad, cae) → new_asAs(new_esEs28(xuu40000, xuu3000, cac), new_asAs(new_esEs27(xuu40001, xuu3001, cad), new_esEs26(xuu40002, xuu3002, cae)))
new_ltEs21(xuu47001, xuu48001, ty_Bool) → new_ltEs6(xuu47001, xuu48001)
new_esEs28(xuu40000, xuu3000, ty_Int) → new_esEs10(xuu40000, xuu3000)
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_@0) → new_ltEs13(xuu47000, xuu48000)
new_esEs24(xuu40000, xuu3000, ty_Ordering) → new_esEs9(xuu40000, xuu3000)
new_compare26(xuu47000, xuu48000, True, bf, bg, bh) → EQ
new_mkBalBranch6MkBalBranch30(xuu34, xuu300, xuu31, EmptyFM, True, h, ba, bb) → error([])
new_primPlusNat1(Zero, Zero) → Zero
new_compare0([], :(xuu48000, xuu48001), hc) → LT
new_esEs26(xuu40002, xuu3002, ty_Ordering) → new_esEs9(xuu40002, xuu3002)
new_esEs32(xuu36, xuu31, ty_Float) → new_esEs12(xuu36, xuu31)
new_ltEs19(xuu4700, xuu4800, app(app(ty_@2, cgc), cgd)) → new_ltEs16(xuu4700, xuu4800, cgc, cgd)
new_esEs31(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_lt20(xuu47000, xuu48000, app(app(app(ty_@3, dff), dfg), dfh)) → new_lt19(xuu47000, xuu48000, dff, dfg, dfh)
new_asAs(True, xuu153) → xuu153
new_lt10(xuu47000, xuu48000) → new_esEs9(new_compare14(xuu47000, xuu48000), LT)
new_esEs27(xuu40001, xuu3001, ty_Char) → new_esEs8(xuu40001, xuu3001)
new_ltEs21(xuu47001, xuu48001, app(ty_[], dge)) → new_ltEs8(xuu47001, xuu48001, dge)
new_esEs26(xuu40002, xuu3002, app(app(app(ty_@3, cah), cba), cbb)) → new_esEs5(xuu40002, xuu3002, cah, cba, cbb)
new_primMulNat0(Succ(xuu4000100), Succ(xuu300100)) → new_primPlusNat0(new_primMulNat0(xuu4000100, Succ(xuu300100)), xuu300100)
new_esEs30(xuu4000, xuu300, ty_Integer) → new_esEs17(xuu4000, xuu300)
new_esEs27(xuu40001, xuu3001, app(ty_[], cbh)) → new_esEs13(xuu40001, xuu3001, cbh)
new_addToFM_C0(Branch(Left(xuu300), xuu31, xuu32, xuu33, xuu34), Right(xuu4000), xuu401, h, ba, bb) → new_addToFM_C23(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, h, ba), LT), h, ba, bb)
new_esEs27(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_esEs29(xuu19, xuu14, ty_Float) → new_esEs12(xuu19, xuu14)
new_esEs23(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_gt(xuu112, xuu111) → new_esEs9(new_compare19(xuu112, xuu111), GT)
new_esEs21(xuu40001, xuu3001, ty_Int) → new_esEs10(xuu40001, xuu3001)
new_mkBalBranch6MkBalBranch50(xuu34, xuu300, xuu31, xuu50, False, h, ba, bb) → new_mkBalBranch6MkBalBranch4(xuu34, xuu300, xuu31, xuu50, new_gt(new_mkBalBranch6Size_r(xuu34, xuu300, xuu31, xuu50, h, ba, bb), new_sr(new_sIZE_RATIO, new_mkBalBranch6Size_l(xuu34, xuu300, xuu31, xuu50, h, ba, bb))), h, ba, bb)
new_esEs26(xuu40002, xuu3002, app(app(ty_@2, cbc), cbd)) → new_esEs6(xuu40002, xuu3002, cbc, cbd)
new_lt20(xuu47000, xuu48000, ty_Int) → new_lt14(xuu47000, xuu48000)
new_esEs23(xuu40001, xuu3001, app(app(app(ty_@3, dda), ddb), ddc)) → new_esEs5(xuu40001, xuu3001, dda, ddb, ddc)
new_esEs32(xuu36, xuu31, ty_Char) → new_esEs8(xuu36, xuu31)
new_ltEs6(False, False) → True
new_ltEs18(xuu4700, xuu4800, ty_Double) → new_ltEs5(xuu4700, xuu4800)
new_lt5(xuu47000, xuu48000, be) → new_esEs9(new_compare8(xuu47000, xuu48000, be), LT)
new_lt17(xuu47001, xuu48001, app(ty_[], bbc)) → new_lt12(xuu47001, xuu48001, bbc)
new_mkBalBranch6MkBalBranch5(xuu34, xuu300, xuu31, xuu42, False, h, ba, bb) → new_mkBalBranch6MkBalBranch40(xuu34, xuu300, xuu31, xuu42, new_gt(new_mkBalBranch6Size_r0(xuu34, xuu300, xuu31, xuu42, h, ba, bb), new_sr(new_sIZE_RATIO, new_mkBalBranch6Size_l0(xuu34, xuu300, xuu31, xuu42, h, ba, bb))), h, ba, bb)
new_compare10(xuu47000, xuu48000, True) → LT
new_esEs30(xuu4000, xuu300, app(app(app(ty_@3, cac), cad), cae)) → new_esEs5(xuu4000, xuu300, cac, cad, cae)
new_esEs29(xuu19, xuu14, app(ty_Maybe, eg)) → new_esEs4(xuu19, xuu14, eg)
new_ltEs21(xuu47001, xuu48001, ty_Char) → new_ltEs11(xuu47001, xuu48001)
new_esEs7(Right(xuu40000), Right(xuu3000), bgh, ty_Char) → new_esEs8(xuu40000, xuu3000)
new_addToFM_C23(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, False, h, ba, bb) → new_addToFM_C13(xuu300, xuu31, xuu32, xuu33, xuu34, xuu4000, xuu401, new_esEs9(new_compare27(Right(xuu4000), Left(xuu300), False, h, ba), GT), h, ba, bb)
new_ltEs20(xuu47002, xuu48002, ty_@0) → new_ltEs13(xuu47002, xuu48002)
new_esEs18(xuu40000, xuu3000, ty_Integer) → new_esEs17(xuu40000, xuu3000)
new_esEs19(xuu47001, xuu48001, app(ty_[], bbc)) → new_esEs13(xuu47001, xuu48001, bbc)
new_esEs30(xuu4000, xuu300, ty_Double) → new_esEs14(xuu4000, xuu300)
new_ltEs17(Right(xuu47000), Right(xuu48000), cfc, app(ty_Ratio, dab)) → new_ltEs9(xuu47000, xuu48000, dab)
new_lt17(xuu47001, xuu48001, ty_Integer) → new_lt8(xuu47001, xuu48001)
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Bool, bff) → new_esEs11(xuu40000, xuu3000)
new_ltEs20(xuu47002, xuu48002, app(ty_Maybe, bcg)) → new_ltEs7(xuu47002, xuu48002, bcg)
new_compare13(xuu47000, xuu48000, True, bf, bg, bh) → LT
new_lt20(xuu47000, xuu48000, app(ty_Ratio, dfd)) → new_lt13(xuu47000, xuu48000, dfd)
new_compare10(xuu47000, xuu48000, False) → GT
new_esEs9(LT, LT) → True
new_esEs7(Left(xuu40000), Left(xuu3000), ty_Float, bff) → new_esEs12(xuu40000, xuu3000)
new_ltEs20(xuu47002, xuu48002, app(app(ty_@2, bdc), bdd)) → new_ltEs16(xuu47002, xuu48002, bdc, bdd)
new_addToFM_C24(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, False, df, dg, ca) → new_addToFM_C14(xuu14, xuu15, xuu16, xuu17, xuu18, xuu19, xuu20, new_esEs9(new_compare27(Left(xuu19), Left(xuu14), new_esEs29(xuu19, xuu14, df), df, dg), GT), df, dg, ca)
new_esEs10(xuu4000, xuu300) → new_primEqInt(xuu4000, xuu300)
new_esEs24(xuu40000, xuu3000, ty_Bool) → new_esEs11(xuu40000, xuu3000)
new_esEs25(xuu47000, xuu48000, app(app(ty_Either, dgc), dgd)) → new_esEs7(xuu47000, xuu48000, dgc, dgd)
new_ltEs7(Just(xuu47000), Just(xuu48000), app(ty_Ratio, cd)) → new_ltEs9(xuu47000, xuu48000, cd)
new_esEs31(xuu4000, xuu300, app(app(ty_@2, dcb), dcc)) → new_esEs6(xuu4000, xuu300, dcb, dcc)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs12(GT, LT) → False
new_primCompAux0(xuu199, EQ) → xuu199
new_ltEs7(Just(xuu47000), Just(xuu48000), ty_Ordering) → new_ltEs12(xuu47000, xuu48000)
new_esEs29(xuu19, xuu14, ty_Ordering) → new_esEs9(xuu19, xuu14)
new_compare17(xuu47000, xuu48000, fb, fc) → new_compare28(xuu47000, xuu48000, new_esEs6(xuu47000, xuu48000, fb, fc), fb, fc)
new_primCmpInt0(EmptyFM, xuu34, xuu300, xuu31, h, ba, bb) → new_primCmpInt(new_primPlusInt(Pos(Zero), new_mkBalBranch6Size_r0(xuu34, xuu300, xuu31, EmptyFM, h, ba, bb)), Pos(Succ(Succ(Zero))))
new_esEs19(xuu47001, xuu48001, ty_Char) → new_esEs8(xuu47001, xuu48001)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primCmpInt(Neg(Succ(xuu4700)), Pos(xuu480)) → LT
new_esEs23(xuu40001, xuu3001, app(ty_[], dcg)) → new_esEs13(xuu40001, xuu3001, dcg)
new_not(True) → False
new_esEs24(xuu40000, xuu3000, ty_Double) → new_esEs14(xuu40000, xuu3000)
new_primMinusNat0(Succ(xuu50200), Succ(xuu11900)) → new_primMinusNat0(xuu50200, xuu11900)
new_lt12(xuu47000, xuu48000, hb) → new_esEs9(new_compare0(xuu47000, xuu48000, hb), LT)

The set Q consists of the following terms:

new_mkBalBranch6MkBalBranch4(Branch(x0, x1, x2, x3, x4), x5, x6, x7, True, x8, x9, x10)
new_compare33(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, app(ty_[], x2))
new_mkBalBranch6MkBalBranch40(x0, x1, x2, x3, False, x4, x5, x6)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_compare11(x0, x1, False)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9, x10, x11, False, x12, x13, x14)
new_esEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs7(Right(x0), Right(x1), x2, ty_Char)
new_primMinusNat0(Zero, Zero)
new_lt15(x0, x1)
new_ltEs12(LT, LT)
new_esEs13([], :(x0, x1), x2)
new_lt14(x0, x1)
new_compare12(x0, x1, True, x2)
new_esEs32(x0, x1, ty_Bool)
new_esEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare27(Left(x0), Right(x1), False, x2, x3)
new_compare27(Right(x0), Left(x1), False, x2, x3)
new_addToFM_C13(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs4(Nothing, Nothing, x0)
new_esEs7(Right(x0), Right(x1), x2, ty_Double)
new_lt17(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare33(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Int)
new_esEs19(x0, x1, ty_Char)
new_esEs7(Right(x0), Right(x1), x2, ty_@0)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_addToFM_C16(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_ltEs17(Right(x0), Right(x1), x2, ty_@0)
new_ltEs17(Right(x0), Right(x1), x2, ty_Char)
new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_gt(x0, x1)
new_sizeFM0(EmptyFM, x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare18(x0, x1, True, x2, x3)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_mkBalBranch6MkBalBranch01(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9, x10, x11, False, x12, x13, x14)
new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5, x6)
new_compare33(x0, x1, ty_Bool)
new_compare33(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_@0)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_addToFM_C15(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(x0, x1)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Char)
new_lt10(x0, x1)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_compare10(x0, x1, False)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs19(x0, x1, ty_Integer)
new_esEs11(True, False)
new_esEs11(False, True)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Int)
new_primMinusNat0(Zero, Succ(x0))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, ty_Bool)
new_lt17(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, ty_Ordering)
new_esEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs25(x0, x1, ty_Double)
new_ltEs12(GT, GT)
new_esEs30(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs32(x0, x1, ty_Char)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(GT, LT)
new_esEs9(LT, GT)
new_addToFM_C26(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_lt17(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Char)
new_compare16(x0, x1, True, x2, x3)
new_ltEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(GT, EQ)
new_esEs9(EQ, GT)
new_esEs22(x0, x1, ty_Int)
new_ltEs6(True, True)
new_esEs29(x0, x1, ty_Bool)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, False, x4, x5, x6)
new_ltEs21(x0, x1, ty_Char)
new_esEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_addToFM_C24(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_addToFM_C24(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs27(x0, x1, ty_Integer)
new_esEs20(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_lt17(x0, x1, ty_Integer)
new_compare29(x0, x1, x2, x3)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Int)
new_addToFM_C13(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_lt16(x0, x1, ty_@0)
new_addToFM_C0(EmptyFM, x0, x1, x2, x3, x4)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, x2)
new_compare27(Right(x0), Right(x1), False, x2, x3)
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_addListToFM_CAdd(x0, @2(x1, x2), x3, x4, x5)
new_lt16(x0, x1, app(ty_[], x2))
new_esEs19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs19(x0, x1, ty_@0)
new_esEs25(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqNat0(Zero, Zero)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_mkBalBranch6MkBalBranch010(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_compare24(x0, x1, False)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, False, x4, x5, x6)
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs7(Left(x0), Left(x1), ty_@0, x2)
new_esEs31(x0, x1, ty_Char)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs4(Just(x0), Nothing, x1)
new_addListToFM0(x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Left(x0), Left(x1), ty_Bool, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_@0)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_addToFM_C16(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs17(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs19(x0, x1, app(ty_[], x2))
new_sizeFM(EmptyFM, x0, x1)
new_primMulNat0(Zero, Zero)
new_fsEs(x0)
new_addToFM_C0(Branch(Left(x0), x1, x2, x3, x4), Right(x5), x6, x7, x8, x9)
new_esEs31(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_compare26(x0, x1, True, x2, x3, x4)
new_esEs26(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_addToFM_C14(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_lt7(x0, x1, x2, x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_compare9(x0, x1)
new_lt17(x0, x1, app(app(ty_@2, x2), x3))
new_mkBalBranch6MkBalBranch3(x0, x1, x2, EmptyFM, True, x3, x4, x5)
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8, x9)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_sIZE_RATIO
new_compare14(Char(x0), Char(x1))
new_primPlusInt(Pos(x0), Pos(x1))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_lt20(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_lt16(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_compare25(x0, x1, False, x2)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, EmptyFM, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs9(LT, EQ)
new_esEs9(EQ, LT)
new_mkBalBranch6MkBalBranch40(Branch(x0, x1, x2, x3, x4), x5, x6, x7, True, x8, x9, x10)
new_compare210(x0, x1, False)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_esEs13(:(x0, x1), :(x2, x3), x4)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_lt17(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Char)
new_lt17(x0, x1, ty_Bool)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, Branch(x3, x4, x5, x6, x7), True, x8, x9, x10)
new_ltEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs25(x0, x1, ty_Ordering)
new_compare26(x0, x1, False, x2, x3, x4)
new_compare30(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs8(Char(x0), Char(x1))
new_esEs7(Left(x0), Left(x1), ty_Integer, x2)
new_primPlusNat1(Succ(x0), Zero)
new_esEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(False, False)
new_ltEs18(x0, x1, ty_Integer)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Int)
new_esEs19(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Float)
new_compare19(x0, x1)
new_compare8(x0, x1, x2)
new_sizeFM0(Branch(x0, x1, x2, x3, x4), x5, x6, x7)
new_esEs28(x0, x1, ty_Float)
new_esEs18(x0, x1, ty_@0)
new_ltEs17(Left(x0), Left(x1), ty_Int, x2)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, EmptyFM, True, x3, x4, x5)
new_esEs7(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Int)
new_primPlusInt(Neg(x0), Neg(x1))
new_primEqNat0(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch01(x0, x1, x2, EmptyFM, x3, x4, x5, x6, False, x7, x8, x9)
new_ltEs20(x0, x1, ty_Float)
new_esEs18(x0, x1, ty_Double)
new_primMinusNat0(Succ(x0), Succ(x1))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_lt16(x0, x1, ty_Float)
new_esEs12(Float(x0, x1), Float(x2, x3))
new_compare27(Left(x0), Left(x1), False, x2, x3)
new_lt16(x0, x1, ty_Char)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_@0)
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_ltEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primPlusNat1(Zero, Zero)
new_primMulInt(Neg(x0), Neg(x1))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Char)
new_primCompAux0(x0, GT)
new_primCmpInt0(EmptyFM, x0, x1, x2, x3, x4, x5)
new_esEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs32(x0, x1, ty_@0)
new_compare33(x0, x1, app(ty_[], x2))
new_lt17(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_mkBalBranch(x0, x1, x2, x3, x4, x5, x6)
new_asAs(True, x0)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_esEs21(x0, x1, ty_Integer)
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Integer)
new_ltEs14(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs18(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_primPlusNat1(Zero, Succ(x0))
new_lt6(x0, x1)
new_ltEs17(Left(x0), Left(x1), ty_Bool, x2)
new_lt16(x0, x1, ty_Int)
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, False, x4, x5, x6)
new_addToFM_C25(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_sr0(Integer(x0), Integer(x1))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Left(x1), x2, x3)
new_esEs7(Left(x0), Right(x1), x2, x3)
new_ltEs6(True, False)
new_ltEs6(False, True)
new_compare33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs24(x0, x1, ty_Bool)
new_ltEs12(EQ, GT)
new_ltEs12(GT, EQ)
new_ltEs21(x0, x1, ty_@0)
new_compare6(Double(x0, x1), Double(x2, x3))
new_esEs29(x0, x1, ty_Char)
new_esEs14(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs10(x0, x1)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_lt8(x0, x1)
new_lt5(x0, x1, x2)
new_esEs19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs9(GT, GT)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_lt11(x0, x1, x2, x3)
new_lt20(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Integer)
new_esEs17(Integer(x0), Integer(x1))
new_compare110(x0, x1, True, x2, x3)
new_addToFM_C25(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_pePe(True, x0)
new_lt18(x0, x1)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs24(x0, x1, ty_Ordering)
new_ltEs17(Left(x0), Left(x1), ty_Float, x2)
new_compare25(x0, x1, True, x2)
new_esEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs23(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_addToFM_C14(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_compare16(x0, x1, False, x2, x3)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare33(x0, x1, ty_Float)
new_ltEs17(Left(x0), Right(x1), x2, x3)
new_ltEs17(Right(x0), Left(x1), x2, x3)
new_esEs24(x0, x1, ty_Int)
new_addToFM_C0(Branch(Right(x0), x1, x2, x3, x4), Left(x5), x6, x7, x8, x9)
new_esEs23(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Bool)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs6(False, False)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux1(x0, x1, x2, x3)
new_compare28(x0, x1, True, x2, x3)
new_esEs9(EQ, EQ)
new_ltEs17(Right(x0), Right(x1), x2, ty_Double)
new_lt17(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux0(x0, LT)
new_ltEs20(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_emptyFM(x0, x1, x2)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Int)
new_addToFM_C23(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_compare15(Float(x0, x1), Float(x2, x3))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, ty_Double)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_esEs20(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Int)
new_ltEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs28(x0, x1, ty_Char)
new_compare32(x0, x1, x2, x3, x4)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_primMinusNat0(Succ(x0), Zero)
new_primCmpInt0(Branch(x0, x1, x2, x3, x4), x5, x6, x7, x8, x9, x10)
new_lt9(x0, x1)
new_esEs28(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Int)
new_esEs13(:(x0, x1), [], x2)
new_ltEs18(x0, x1, ty_Float)
new_ltEs5(x0, x1)
new_esEs13([], [], x0)
new_compare18(x0, x1, False, x2, x3)
new_esEs29(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare17(x0, x1, x2, x3)
new_compare7(@0, @0)
new_ltEs18(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt1(EmptyFM, x0, x1, x2, x3, x4, x5)
new_ltEs19(x0, x1, ty_Double)
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs26(x0, x1, ty_Double)
new_compare210(x0, x1, True)
new_esEs23(x0, x1, ty_Bool)
new_compare27(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, ty_Int)
new_mkBalBranch6MkBalBranch4(EmptyFM, x0, x1, x2, True, x3, x4, x5)
new_esEs32(x0, x1, ty_Float)
new_esEs20(x0, x1, app(ty_[], x2))
new_asAs(False, x0)
new_esEs28(x0, x1, ty_Double)
new_compare33(x0, x1, ty_Ordering)
new_ltEs7(Nothing, Nothing, x0)
new_ltEs21(x0, x1, ty_Bool)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_mkBalBranch6MkBalBranch3(x0, x1, x2, Branch(x3, x4, x5, x6, x7), True, x8, x9, x10)
new_mkBalBranch6MkBalBranch4(x0, x1, x2, x3, False, x4, x5, x6)
new_mkBalBranch0(x0, x1, x2, x3, x4, x5, x6)
new_esEs20(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_ltEs8(x0, x1, x2)
new_ltEs7(Nothing, Just(x0), x1)
new_esEs23(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Integer, x2)
new_primPlusInt(Pos(x0), Neg(x1))
new_primPlusInt(Neg(x0), Pos(x1))
new_esEs18(x0, x1, ty_Float)
new_mkBalBranch6Size_l0(x0, x1, x2, x3, x4, x5, x6)
new_ltEs18(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Zero, Zero)
new_ltEs17(Left(x0), Left(x1), ty_Char, x2)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13, x14)
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13, x14)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_compare0([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs28(x0, x1, ty_Int)
new_esEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs32(x0, x1, ty_Ordering)
new_esEs15(@0, @0)
new_compare11(x0, x1, True)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_addToFM_C0(Branch(Left(x0), x1, x2, x3, x4), Left(x5), x6, x7, x8, x9)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_primCompAux0(x0, EQ)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare5(Integer(x0), Integer(x1))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs28(x0, x1, ty_Integer)
new_sr(x0, x1)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, True, x4, x5, x6)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_mkBalBranch6Size_r0(x0, x1, x2, x3, x4, x5, x6)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Succ(x1))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs21(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True)
new_ltEs17(Right(x0), Right(x1), x2, ty_Bool)
new_esEs31(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs30(x0, x1, ty_@0)
new_lt16(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, False, x2)
new_esEs31(x0, x1, ty_Ordering)
new_esEs7(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_not(True)
new_esEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_compare28(x0, x1, False, x2, x3)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Double)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_mkBalBranch6MkBalBranch40(EmptyFM, x0, x1, x2, True, x3, x4, x5)
new_esEs20(x0, x1, ty_Bool)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_esEs7(Left(x0), Left(x1), ty_Char, x2)
new_lt16(x0, x1, ty_Double)
new_ltEs10(x0, x1)
new_esEs30(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt16(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs20(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(ty_[], x2))
new_compare0(:(x0, x1), [], x2)
new_ltEs20(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_ltEs17(Left(x0), Left(x1), ty_Double, x2)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_addToFM_C15(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Int)
new_esEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs27(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs26(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_primCmpInt1(Branch(x0, x1, x2, x3, x4), x5, x6, x7, x8, x9, x10)
new_mkBranch(x0, x1, x2, x3, x4, x5, x6)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_lt19(x0, x1, x2, x3, x4)
new_esEs27(x0, x1, ty_@0)
new_compare33(x0, x1, ty_Integer)
new_lt16(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs12(EQ, LT)
new_lt17(x0, x1, app(ty_Maybe, x2))
new_ltEs12(LT, EQ)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_[], x2))
new_addToFM_C0(Branch(Right(x0), x1, x2, x3, x4), Right(x5), x6, x7, x8, x9)
new_compare110(x0, x1, False, x2, x3)
new_esEs18(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Int)
new_compare33(x0, x1, ty_Double)
new_addToFM_C26(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, ty_@0)
new_ltEs4(x0, x1)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare0([], [], x0)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, ty_Bool)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Right(x0), Right(x1), x2, ty_Int)
new_esEs7(Left(x0), Left(x1), ty_Int, x2)
new_compare33(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Right(x0), Right(x1), x2, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, True, x4, x5, x6)
new_esEs27(x0, x1, ty_Char)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt16(x0, x1, ty_Ordering)
new_ltEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs30(x0, x1, ty_Ordering)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs19(x0, x1, ty_Float)
new_lt16(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Float)
new_esEs7(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Ordering)
new_primPlusNat0(Zero, x0)
new_esEs4(Nothing, Just(x0), x1)
new_compare33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Nothing, x1)
new_primPlusNat1(Succ(x0), Succ(x1))
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8, x9)
new_ltEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs27(x0, x1, ty_Ordering)
new_addToFM_C23(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_esEs9(LT, LT)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_mkBalBranch6MkBalBranch3(x0, x1, x2, x3, False, x4, x5, x6)
new_lt13(x0, x1, x2)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5, x6)
new_ltEs9(x0, x1, x2)
new_ltEs20(x0, x1, ty_Bool)

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: