YES 12.747 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
  ((addToFM_C :: (Ord b, Ord a) => (c  ->  c  ->  c ->  FiniteMap (Either a b) c  ->  Either a b  ->  c  ->  FiniteMap (Either a b) c) :: (Ord a, Ord b) => (c  ->  c  ->  c ->  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 a b) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  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_rnew_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_rfindMax fm_r

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

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

  foldFM :: (a  ->  c  ->  b  ->  b ->  b  ->  FiniteMap a c  ->  b
foldFM k z EmptyFM z
foldFM k z (Branch key elt _ fm_l fm_rfoldFM 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 = 
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_rrmkBranch 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_rrmkBranch 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_lrfm_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 :: b  ->  a  ->  FiniteMap b a
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



↳ HASKELL
  ↳ LR
HASKELL
      ↳ CR

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

  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_rnew_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_rfindMax fm_r

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

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

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (b  ->  a  ->  c  ->  c ->  c  ->  FiniteMap b a  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt _ fm_l fm_rfoldFM 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_rrmkBranch 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_rrmkBranch 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_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l sizeFM fm_L
size_r sizeFM fm_R

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

  sIZE_RATIO :: Int
sIZE_RATIO 5

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

  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
  ((addToFM_C :: (Ord a, Ord b) => (c  ->  c  ->  c ->  FiniteMap (Either b a) c  ->  Either b a  ->  c  ->  FiniteMap (Either b a) c) :: (Ord b, Ord a) => (c  ->  c  ->  c ->  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

  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_rnew_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 _ _ EmptyFM(key,elt)
findMax (Branch key elt _ _ fm_rfindMax 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  ->  a  ->  c  ->  c ->  c  ->  FiniteMap b a  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt _ fm_l fm_rfoldFM 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 _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rrmkBranch 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_rrmkBranch 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_lrfm_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 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



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
  ((addToFM_C :: (Ord b, Ord c) => (a  ->  a  ->  a ->  FiniteMap (Either c b) a  ->  Either c b  ->  a  ->  FiniteMap (Either c b) a) :: (Ord c, Ord b) => (a  ->  a  ->  a ->  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

  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_rnew_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_rfindMax fm_r

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

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

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (c  ->  b  ->  a  ->  a ->  a  ->  FiniteMap c b  ->  a
foldFM k z EmptyFM z
foldFM k z (Branch key elt _ fm_l fm_rfoldFM 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 _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rrmkBranch 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_rrmkBranch 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_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l sizeFM fm_L
size_r sizeFM fm_R

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

  sIZE_RATIO :: Int
sIZE_RATIO 5

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

  unitFM :: b  ->  a  ->  FiniteMap b a
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
  ((addToFM_C :: (Ord b, Ord c) => (a  ->  a  ->  a ->  FiniteMap (Either c b) a  ->  Either c b  ->  a  ->  FiniteMap (Either c b) a) :: (Ord b, Ord c) => (a  ->  a  ->  a ->  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 a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b


  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM_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_rnew_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 b a  ->  (b,a)
findMax (Branch key elt xx xy EmptyFM(key,elt)
findMax (Branch key elt xz yu fm_rfindMax fm_r

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

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

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (a  ->  b  ->  c  ->  c ->  c  ->  FiniteMap a b  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt vw fm_l fm_rfoldFM 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 zz (Branch key_rl elt_rl vuu fm_rll fm_rlr) fm_rrmkBranch 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 zu fm_ll (Branch key_lr elt_lr zv 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 vuv vuw vux 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 zw zx zy 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 vuy fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l yz fm_ll fm_lrfm_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 vx vy vz wu
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 wv ww wx wy
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 yv yw size yx yysize

  unitFM :: a  ->  b  ->  FiniteMap a b
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
addToFM_C combiner EmptyFM key elt = unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt
 | new_key < key
 = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_eltfm_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_eltsize 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_rnew_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_rnew_key new_elt

addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_eltsize 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_eltfm_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_rnew_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 vzy vzz wuu wuv = addToFM_C3 vzy vzz wuu wuv

The following Function with conditions
mkBalBranch1 fm_L fm_R (Branch zw zx zy 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 zw zx zy fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch zw zx zy fm_ll fm_lr)

mkBalBranch10 fm_L fm_R zw zx zy fm_ll fm_lr True = double_R fm_L fm_R

mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr False = mkBalBranch10 fm_L fm_R zw zx zy fm_ll fm_lr otherwise

mkBalBranch12 fm_L fm_R (Branch zw zx zy fm_ll fm_lr) = mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

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

mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vuv vuw vux fm_rl fm_rr otherwise

mkBalBranch00 fm_L fm_R vuv vuw vux fm_rl fm_rr True = double_L fm_L fm_R

mkBalBranch02 fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vuv vuw vux 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 zz (Branch key_rl elt_rl vuu fm_rll fm_rlrfm_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 zu fm_ll (Branch key_lr elt_lr zv 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 vuv vuw vux 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 zw zx zy 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 vuy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yz fm_ll fm_lrfm_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 zz (Branch key_rl elt_rl vuu fm_rll fm_rlrfm_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 zu fm_ll (Branch key_lr elt_lr zv 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 vuv vuw vux fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr)
mkBalBranch00 fm_L fm_R vuv vuw vux fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vuv vuw vux fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch zw zx zy fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch zw zx zy fm_ll fm_lr)
mkBalBranch10 fm_L fm_R zw zx zy fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr False = mkBalBranch10 fm_L fm_R zw zx zy fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch zw zx zy fm_ll fm_lr) = mkBalBranch11 fm_L fm_R zw zx zy 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 vuy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yz fm_ll fm_lrfm_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
compare x y
 | x == y
 = EQ
 | x <= y
 = LT
 | otherwise
 = GT

is transformed to
compare x y = compare3 x y

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

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

compare0 x y True = GT

compare3 x y = compare2 x y (x == y)

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

is transformed to
gcd' x 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
  ((addToFM_C :: (Ord b, Ord c) => (a  ->  a  ->  a ->  FiniteMap (Either c b) a  ->  Either c b  ->  a  ->  FiniteMap (Either c b) a) :: (Ord c, Ord b) => (a  ->  a  ->  a ->  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 a b) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  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_rnew_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_rnew_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 vzy vzz wuu wuv addToFM_C3 vzy vzz wuu wuv

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt xx xy EmptyFM(key,elt)
findMax (Branch key elt xz yu fm_rfindMax fm_r

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

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

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (a  ->  b  ->  c  ->  c ->  c  ->  FiniteMap a b  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt vw fm_l fm_rfoldFM 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 
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where 
double_L fm_l (Branch key_r elt_r zz (Branch key_rl elt_rl vuu fm_rll fm_rlr) fm_rrmkBranch 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 zu fm_ll (Branch key_lr elt_lr zv 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 vuv vuw vux fm_rl fm_rrmkBalBranch02 fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr)
mkBalBranch00 fm_L fm_R vuv vuw vux fm_rl fm_rr True double_L fm_L fm_R
mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr True single_L fm_L fm_R
mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr False mkBalBranch00 fm_L fm_R vuv vuw vux fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch vuv vuw vux fm_rl fm_rrmkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch zw zx zy fm_ll fm_lrmkBalBranch12 fm_L fm_R (Branch zw zx zy fm_ll fm_lr)
mkBalBranch10 fm_L fm_R zw zx zy fm_ll fm_lr True double_R fm_L fm_R
mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr True single_R fm_L fm_R
mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr False mkBalBranch10 fm_L fm_R zw zx zy fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch zw zx zy fm_ll fm_lrmkBalBranch11 fm_L fm_R zw zx zy 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 vuy fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l yz fm_ll fm_lrfm_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 vx vy vz wu
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 wv ww wx wy
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 yv yw size yx yysize

  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 vx vy vz wu) = 
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 wv ww wx wy) = 
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
mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM = True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vx vy vz wu) = mkBranchLeft_ok0Biggest_left_key fm_l < key

mkBranchUnbox wxw wxx wxy x = x

mkBranchLeft_size wxw wxx wxy = sizeFM wxw

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 wv ww wx wy) = key < mkBranchRight_ok0Smallest_right_key fm_r

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

mkBranchRight_size wxw wxx wxy = sizeFM wxx

mkBranchBalance_ok wxw wxx wxy = True

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 zz (Branch key_rl elt_rl vuu fm_rll fm_rlrfm_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 zu fm_ll (Branch key_lr elt_lr zv 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 vuv vuw vux fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr)
mkBalBranch00 fm_L fm_R vuv vuw vux fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vuv vuw vux fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vuv vuw vux fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch zw zx zy fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch zw zx zy fm_ll fm_lr)
mkBalBranch10 fm_L fm_R zw zx zy fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R zw zx zy fm_ll fm_lr False = mkBalBranch10 fm_L fm_R zw zx zy fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch zw zx zy fm_ll fm_lr) = mkBalBranch11 fm_L fm_R zw zx zy 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 vuy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yz fm_ll fm_lrfm_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
mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zz (Branch key_rl elt_rl vuu fm_rll fm_rlrfm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 wyx wyy fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lr) = mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lr)

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_R wyx wyy wyz wzu (Branch key_l elt_l yz fm_ll fm_lrfm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 wyx wyy fm_lr fm_r)

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

mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr True = mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr) = mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr)

mkBalBranch6Size_l wyx wyy wyz wzu = sizeFM wyz

mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr True = mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr False = mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr otherwise

mkBalBranch6Size_r wyx wyy wyz wzu = sizeFM wzu

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_L wyx wyy wyz wzu fm_l (Branch key_r elt_r vuy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 wyx wyy fm_l fm_rlfm_rr

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

mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr) = mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

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)

mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lr) = mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr True = mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr True = mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr False = mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr otherwise

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 wzv = fst (findMax wzv)

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 wzw = fst (findMin wzw)

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

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

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

reduce2D wzx wzy = gcd wzx wzy

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

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

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



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

mainModule FiniteMap
  ((addToFM_C :: (Ord b, Ord a) => (c  ->  c  ->  c ->  FiniteMap (Either a b) c  ->  Either a b  ->  c  ->  FiniteMap (Either a b) c) :: (Ord a, Ord b) => (c  ->  c  ->  c ->  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

  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_rnew_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_rnew_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 vzy vzz wuu wuv addToFM_C3 vzy vzz wuu wuv

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt xx xy EmptyFM(key,elt)
findMax (Branch key elt xz yu fm_rfindMax fm_r

  findMin :: FiniteMap a b  ->  (a,b)
findMin (Branch key elt wz EmptyFM xu(key,elt)
findMin (Branch key elt xv fm_l xwfindMin 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 vw fm_l fm_rfoldFM 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 mkBalBranch6MkBalBranch5 key elt fm_L fm_R key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_L fm_R + mkBalBranch6Size_r key elt fm_L fm_R < 2)

  
mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zz (Branch key_rl elt_rl vuu fm_rll fm_rlr) fm_rrmkBranch 5 key_rl elt_rl (mkBranch 6 wyx wyy 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 zu fm_ll (Branch key_lr elt_lr zv fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 wyx wyy fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rrmkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr True mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr True mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr False mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rrmkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lrmkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr True mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr True mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr False mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lrmkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy 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 vuy fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 wyx wyy fm_l fm_rl) fm_rr

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

  
mkBalBranch6Size_l wyx wyy wyz wzu sizeFM wyz

  
mkBalBranch6Size_r wyx wyy wyz wzu sizeFM wzu

  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 vx vy vz wumkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key wzv fst (findMax wzv)

  
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 wv ww wx wykey < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key wzw fst (findMin wzw)

  
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 a b  ->  Int
sizeFM EmptyFM 0
sizeFM (Branch yv yw size yx yysize

  unitFM :: b  ->  a  ->  FiniteMap b a
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
  (addToFM_C :: (Ord b, Ord a) => (c  ->  c  ->  c ->  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 b a) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  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_rnew_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_rnew_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 vzy vzz wuu wuv addToFM_C3 vzy vzz wuu wuv

  emptyFM :: FiniteMap a b
emptyFM EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt xx xy EmptyFM(key,elt)
findMax (Branch key elt xz yu fm_rfindMax fm_r

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

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

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (b  ->  a  ->  c  ->  c ->  c  ->  FiniteMap b a  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt vw fm_l fm_rfoldFM 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 key elt fm_L fm_R key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_L fm_R + mkBalBranch6Size_r key elt fm_L fm_R < Pos (Succ (Succ Zero)))

  
mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zz (Branch key_rl elt_rl vuu fm_rll fm_rlr) fm_rrmkBranch (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) key_rl elt_rl (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) wyx wyy 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 zu fm_ll (Branch key_lr elt_lr zv 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))))))))))))) wyx wyy fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rrmkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr True mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr True mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr False mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch vuv vuw vux fm_rl fm_rrmkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R vuv vuw vux fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lrmkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr True mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr True mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr False mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R zw zx zy fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch zw zx zy fm_ll fm_lrmkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R zw zx zy 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 vuy fm_rl fm_rrmkBranch (Pos (Succ (Succ (Succ Zero)))) key_r elt_r (mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) wyx wyy fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R wyx wyy wyz wzu (Branch key_l elt_l yz fm_ll fm_lrfm_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)))))))))) wyx wyy fm_lr fm_r)

  
mkBalBranch6Size_l wyx wyy wyz wzu sizeFM wyz

  
mkBalBranch6Size_r wyx wyy wyz wzu sizeFM wzu

  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 vx vy vz wumkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key wzv fst (findMax wzv)

  
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 wv ww wx wykey < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key wzw fst (findMin wzw)

  
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 yv yw size yx yysize

  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

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

new_primEqNat(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat(wzz5000, wzz40000)

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

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

new_primCmpNat(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat(wzz5300, wzz5400)

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

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

new_primMinusNat(Succ(wzz56200), Succ(wzz12500)) → new_primMinusNat(wzz56200, wzz12500)

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

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

new_primPlusNat(Succ(wzz56200), Succ(wzz12500)) → new_primPlusNat(wzz56200, wzz12500)

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

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

new_primMulNat(Succ(wzz50100), Succ(wzz400100)) → new_primMulNat(wzz50100, Succ(wzz400100))

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

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

new_esEs2(Left(wzz500), Left(wzz4000), app(ty_[], hc), hd) → new_esEs(wzz500, wzz4000, hc)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, app(ty_Maybe, ec), dg) → new_esEs1(wzz501, wzz4001, ec)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, cc, app(app(ty_@2, dd), de)) → new_esEs3(wzz502, wzz4002, dd, de)
new_esEs2(Left(wzz500), Left(wzz4000), app(app(ty_@2, bac), bad), hd) → new_esEs3(wzz500, wzz4000, bac, bad)
new_esEs2(Right(wzz500), Right(wzz4000), bae, app(ty_[], baf)) → new_esEs(wzz500, wzz4000, baf)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(app(ty_Either, ff), fg), cc, dg) → new_esEs2(wzz500, wzz4000, ff, fg)
new_esEs1(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, gc), gd), ge)) → new_esEs0(wzz500, wzz4000, gc, gd, ge)
new_esEs2(Right(wzz500), Right(wzz4000), bae, app(app(app(ty_@3, bag), bah), bba)) → new_esEs0(wzz500, wzz4000, bag, bah, bba)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(ty_[], bda), bdb) → new_esEs(wzz500, wzz4000, bda)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(app(app(ty_@3, bdc), bdd), bde), bdb) → new_esEs0(wzz500, wzz4000, bdc, bdd, bde)
new_esEs2(Left(wzz500), Left(wzz4000), app(app(ty_Either, baa), bab), hd) → new_esEs2(wzz500, wzz4000, baa, bab)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(ty_Maybe, bdf), bdb) → new_esEs1(wzz500, wzz4000, bdf)
new_esEs2(Right(wzz500), Right(wzz4000), bae, app(app(ty_@2, bbe), bbf)) → new_esEs3(wzz500, wzz4000, bbe, bbf)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, app(app(app(ty_@3, dh), ea), eb), dg) → new_esEs0(wzz501, wzz4001, dh, ea, eb)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, cc, app(ty_[], cd)) → new_esEs(wzz502, wzz4002, cd)
new_esEs2(Left(wzz500), Left(wzz4000), app(ty_Maybe, hh), hd) → new_esEs1(wzz500, wzz4000, hh)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, app(app(ty_@2, ef), eg), dg) → new_esEs3(wzz501, wzz4001, ef, eg)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), bbg, app(ty_[], bbh)) → new_esEs(wzz501, wzz4001, bbh)
new_esEs1(Just(wzz500), Just(wzz4000), app(app(ty_Either, gg), gh)) → new_esEs2(wzz500, wzz4000, gg, gh)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), bbg, app(app(ty_@2, bcg), bch)) → new_esEs3(wzz501, wzz4001, bcg, bch)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(app(ty_@2, fh), ga), cc, dg) → new_esEs3(wzz500, wzz4000, fh, ga)
new_esEs1(Just(wzz500), Just(wzz4000), app(ty_[], gb)) → new_esEs(wzz500, wzz4000, gb)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), bbg, app(ty_Maybe, bcd)) → new_esEs1(wzz501, wzz4001, bcd)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(ty_[], eh), cc, dg) → new_esEs(wzz500, wzz4000, eh)
new_esEs(:(wzz500, wzz501), :(wzz4000, wzz4001), h) → new_esEs(wzz501, wzz4001, h)
new_esEs1(Just(wzz500), Just(wzz4000), app(app(ty_@2, ha), hb)) → new_esEs3(wzz500, wzz4000, ha, hb)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, cc, app(app(app(ty_@3, ce), cf), cg)) → new_esEs0(wzz502, wzz4002, ce, cf, cg)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, cc, app(ty_Maybe, da)) → new_esEs1(wzz502, wzz4002, da)
new_esEs(:(wzz500, wzz501), :(wzz4000, wzz4001), app(app(ty_Either, bf), bg)) → new_esEs2(wzz500, wzz4000, bf, bg)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, app(ty_[], df), dg) → new_esEs(wzz501, wzz4001, df)
new_esEs2(Right(wzz500), Right(wzz4000), bae, app(app(ty_Either, bbc), bbd)) → new_esEs2(wzz500, wzz4000, bbc, bbd)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(app(ty_@2, bea), beb), bdb) → new_esEs3(wzz500, wzz4000, bea, beb)
new_esEs1(Just(wzz500), Just(wzz4000), app(ty_Maybe, gf)) → new_esEs1(wzz500, wzz4000, gf)
new_esEs(:(wzz500, wzz501), :(wzz4000, wzz4001), app(app(app(ty_@3, bb), bc), bd)) → new_esEs0(wzz500, wzz4000, bb, bc, bd)
new_esEs2(Right(wzz500), Right(wzz4000), bae, app(ty_Maybe, bbb)) → new_esEs1(wzz500, wzz4000, bbb)
new_esEs(:(wzz500, wzz501), :(wzz4000, wzz4001), app(app(ty_@2, bh), ca)) → new_esEs3(wzz500, wzz4000, bh, ca)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), bbg, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs0(wzz501, wzz4001, bca, bcb, bcc)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(ty_Maybe, fd), cc, dg) → new_esEs1(wzz500, wzz4000, fd)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, cc, app(app(ty_Either, db), dc)) → new_esEs2(wzz502, wzz4002, db, dc)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), bbg, app(app(ty_Either, bce), bcf)) → new_esEs2(wzz501, wzz4001, bce, bcf)
new_esEs3(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(app(ty_Either, bdg), bdh), bdb) → new_esEs2(wzz500, wzz4000, bdg, bdh)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cb, app(app(ty_Either, ed), ee), dg) → new_esEs2(wzz501, wzz4001, ed, ee)
new_esEs(:(wzz500, wzz501), :(wzz4000, wzz4001), app(ty_[], ba)) → new_esEs(wzz500, wzz4000, ba)
new_esEs0(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(app(app(ty_@3, fa), fb), fc), cc, dg) → new_esEs0(wzz500, wzz4000, fa, fb, fc)
new_esEs2(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, he), hf), hg), hd) → new_esEs0(wzz500, wzz4000, he, hf, hg)
new_esEs(:(wzz500, wzz501), :(wzz4000, wzz4001), app(ty_Maybe, be)) → new_esEs1(wzz500, wzz4000, be)

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

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

new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, app(app(ty_@2, ee), ef)), dh), ea), hc) → new_compare23(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, ee, ef), ee, ef)
new_ltEs2(Right(wzz53000), Right(wzz54000), baf, app(ty_Maybe, bag)) → new_ltEs(wzz53000, wzz54000, bag)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, app(app(app(ty_@3, fb), fc), fd), ea) → new_lt1(wzz53001, wzz54001, fb, fc, fd)
new_compare2(wzz53000, wzz54000, de, df, dg) → new_compare21(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, de, df, dg), de, df, dg)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), app(app(ty_Either, bcf), bcg), bca) → new_lt2(wzz53000, wzz54000, bcf, bcg)
new_compare0(:(wzz53000, wzz53001), :(wzz54000, wzz54001), ca) → new_compare0(wzz53001, wzz54001, ca)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), app(app(ty_@2, fh), ga)), ea), hc) → new_lt3(wzz53001, wzz54001, fh, ga)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bdb, app(app(app(ty_@3, bde), bdf), bdg)) → new_ltEs1(wzz53001, wzz54001, bde, bdf, bdg)
new_ltEs2(Left(wzz53000), Left(wzz54000), app(app(ty_Either, bab), bac), he) → new_ltEs2(wzz53000, wzz54000, bab, bac)
new_compare22(Left(Left(wzz53000)), Left(Left(wzz54000)), False, app(app(ty_Either, app(app(ty_Either, bab), bac)), he), hc) → new_ltEs2(wzz53000, wzz54000, bab, bac)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, bdb), app(app(ty_@2, beb), bec)), hc) → new_ltEs3(wzz53001, wzz54001, beb, bec)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), dh), app(app(app(ty_@3, gd), ge), gf)), hc) → new_ltEs1(wzz53002, wzz54002, gd, ge, gf)
new_ltEs(Just(wzz53000), Just(wzz54000), app(ty_[], ba)) → new_ltEs0(wzz53000, wzz54000, ba)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), dh), app(app(ty_@2, ha), hb)), hc) → new_ltEs3(wzz53002, wzz54002, ha, hb)
new_compare22(Left(:(wzz53000, wzz53001)), Left(:(wzz54000, wzz54001)), False, app(ty_[], ca), hc) → new_compare0(wzz53001, wzz54001, ca)
new_compare22(Left(Left(wzz53000)), Left(Left(wzz54000)), False, app(app(ty_Either, app(app(app(ty_@3, hg), hh), baa)), he), hc) → new_ltEs1(wzz53000, wzz54000, hg, hh, baa)
new_compare22(Left(Left(wzz53000)), Left(Left(wzz54000)), False, app(app(ty_Either, app(ty_[], hf)), he), hc) → new_ltEs0(wzz53000, wzz54000, hf)
new_compare3(wzz53000, wzz54000, ec, ed) → new_compare22(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, ec, ed), ec, ed)
new_compare22(Left(Right(wzz53000)), Left(Right(wzz54000)), False, app(app(ty_Either, baf), app(app(ty_Either, bbd), bbe)), hc) → new_ltEs2(wzz53000, wzz54000, bbd, bbe)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, app(ty_[], eb)), dh), ea), hc) → new_compare0(wzz53000, wzz54000, eb)
new_compare22(Left(Right(wzz53000)), Left(Right(wzz54000)), False, app(app(ty_Either, baf), app(app(app(ty_@3, bba), bbb), bbc)), hc) → new_ltEs1(wzz53000, wzz54000, bba, bbb, bbc)
new_lt(wzz53000, wzz54000, dd) → new_compare20(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, dd), dd)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bdb, app(app(ty_@2, beb), bec)) → new_ltEs3(wzz53001, wzz54001, beb, bec)
new_ltEs2(Right(wzz53000), Right(wzz54000), baf, app(app(ty_@2, bbf), bbg)) → new_ltEs3(wzz53000, wzz54000, bbf, bbg)
new_compare22(Left(Right(wzz53000)), Left(Right(wzz54000)), False, app(app(ty_Either, baf), app(ty_Maybe, bag)), hc) → new_ltEs(wzz53000, wzz54000, bag)
new_ltEs2(Right(wzz53000), Right(wzz54000), baf, app(ty_[], bah)) → new_ltEs0(wzz53000, wzz54000, bah)
new_lt1(wzz53000, wzz54000, de, df, dg) → new_compare21(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, de, df, dg), de, df, dg)
new_compare22(Left(Left(wzz53000)), Left(Left(wzz54000)), False, app(app(ty_Either, app(app(ty_@2, bad), bae)), he), hc) → new_ltEs3(wzz53000, wzz54000, bad, bae)
new_compare23(wzz53000, wzz54000, False, ee, ef) → new_ltEs3(wzz53000, wzz54000, ee, ef)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), app(app(ty_@2, bch), bda), bca) → new_lt3(wzz53000, wzz54000, bch, bda)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, app(ty_Maybe, eh), ea) → new_lt(wzz53001, wzz54001, eh)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), app(app(ty_Either, ff), fg)), ea), hc) → new_lt2(wzz53001, wzz54001, ff, fg)
new_primCompAux(wzz53000, wzz54000, wzz189, app(ty_Maybe, cb)) → new_compare1(wzz53000, wzz54000, cb)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, app(app(ty_Either, bcf), bcg)), bca), hc) → new_lt2(wzz53000, wzz54000, bcf, bcg)
new_primCompAux(wzz53000, wzz54000, wzz189, app(app(ty_Either, cg), da)) → new_compare3(wzz53000, wzz54000, cg, da)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), app(ty_[], eb), dh, ea) → new_compare0(wzz53000, wzz54000, eb)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, dh, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs1(wzz53002, wzz54002, gd, ge, gf)
new_compare22(Right(wzz5300), Right(wzz5400), False, bed, app(app(app(ty_@3, beg), beh), bfa)) → new_ltEs1(wzz5300, wzz5400, beg, beh, bfa)
new_compare22(Right(wzz5300), Right(wzz5400), False, bed, app(ty_[], bef)) → new_ltEs0(wzz5300, wzz5400, bef)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, bdb), app(app(ty_Either, bdh), bea)), hc) → new_ltEs2(wzz53001, wzz54001, bdh, bea)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bdb, app(app(ty_Either, bdh), bea)) → new_ltEs2(wzz53001, wzz54001, bdh, bea)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, bdb), app(ty_[], bdd)), hc) → new_ltEs0(wzz53001, wzz54001, bdd)
new_compare22(Left(Just(wzz53000)), Left(Just(wzz54000)), False, app(ty_Maybe, app(app(app(ty_@3, bb), bc), bd)), hc) → new_ltEs1(wzz53000, wzz54000, bb, bc, bd)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), app(ty_[], bcb), bca) → new_lt0(wzz53000, wzz54000, bcb)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), dh), app(app(ty_Either, gg), gh)), hc) → new_ltEs2(wzz53002, wzz54002, gg, gh)
new_ltEs2(Left(wzz53000), Left(wzz54000), app(ty_[], hf), he) → new_ltEs0(wzz53000, wzz54000, hf)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), app(app(app(ty_@3, bcc), bcd), bce), bca) → new_lt1(wzz53000, wzz54000, bcc, bcd, bce)
new_compare0(:(wzz53000, wzz53001), :(wzz54000, wzz54001), ca) → new_primCompAux(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, ca), ca)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, dh, app(app(ty_@2, ha), hb)) → new_ltEs3(wzz53002, wzz54002, ha, hb)
new_ltEs0(:(wzz53000, wzz53001), :(wzz54000, wzz54001), ca) → new_primCompAux(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, ca), ca)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, app(ty_Maybe, bbh)), bca), hc) → new_lt(wzz53000, wzz54000, bbh)
new_compare21(wzz53000, wzz54000, False, de, df, dg) → new_ltEs1(wzz53000, wzz54000, de, df, dg)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), app(app(ty_Either, ec), ed), dh, ea) → new_compare22(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, ec, ed), ec, ed)
new_ltEs2(Left(wzz53000), Left(wzz54000), app(ty_Maybe, hd), he) → new_ltEs(wzz53000, wzz54000, hd)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, app(app(ty_@2, fh), ga), ea) → new_lt3(wzz53001, wzz54001, fh, ga)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), app(app(app(ty_@3, de), df), dg), dh, ea) → new_compare21(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, de, df, dg), de, df, dg)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), app(ty_[], fa)), ea), hc) → new_lt0(wzz53001, wzz54001, fa)
new_ltEs(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, bb), bc), bd)) → new_ltEs1(wzz53000, wzz54000, bb, bc, bd)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, app(ty_[], fa), ea) → new_lt0(wzz53001, wzz54001, fa)
new_compare22(Right(wzz5300), Right(wzz5400), False, bed, app(app(ty_Either, bfb), bfc)) → new_ltEs2(wzz5300, wzz5400, bfb, bfc)
new_ltEs(Just(wzz53000), Just(wzz54000), app(ty_Maybe, h)) → new_ltEs(wzz53000, wzz54000, h)
new_compare22(Left(Right(wzz53000)), Left(Right(wzz54000)), False, app(app(ty_Either, baf), app(ty_[], bah)), hc) → new_ltEs0(wzz53000, wzz54000, bah)
new_ltEs2(Left(wzz53000), Left(wzz54000), app(app(ty_@2, bad), bae), he) → new_ltEs3(wzz53000, wzz54000, bad, bae)
new_ltEs2(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, hg), hh), baa), he) → new_ltEs1(wzz53000, wzz54000, hg, hh, baa)
new_compare22(Left(Right(wzz53000)), Left(Right(wzz54000)), False, app(app(ty_Either, baf), app(app(ty_@2, bbf), bbg)), hc) → new_ltEs3(wzz53000, wzz54000, bbf, bbg)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bdb, app(ty_Maybe, bdc)) → new_ltEs(wzz53001, wzz54001, bdc)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, app(app(app(ty_@3, de), df), dg)), dh), ea), hc) → new_compare21(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, de, df, dg), de, df, dg)
new_lt3(wzz53000, wzz54000, ee, ef) → new_compare23(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, ee, ef), ee, ef)
new_primCompAux(wzz53000, wzz54000, wzz189, app(ty_[], cc)) → new_compare0(wzz53000, wzz54000, cc)
new_ltEs2(Right(wzz53000), Right(wzz54000), baf, app(app(app(ty_@3, bba), bbb), bbc)) → new_ltEs1(wzz53000, wzz54000, bba, bbb, bbc)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, app(ty_[], bcb)), bca), hc) → new_lt0(wzz53000, wzz54000, bcb)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, app(app(ty_Either, ff), fg), ea) → new_lt2(wzz53001, wzz54001, ff, fg)
new_compare22(Right(wzz5300), Right(wzz5400), False, bed, app(ty_Maybe, bee)) → new_ltEs(wzz5300, wzz5400, bee)
new_ltEs2(Right(wzz53000), Right(wzz54000), baf, app(app(ty_Either, bbd), bbe)) → new_ltEs2(wzz53000, wzz54000, bbd, bbe)
new_compare22(Left(Just(wzz53000)), Left(Just(wzz54000)), False, app(ty_Maybe, app(ty_[], ba)), hc) → new_ltEs0(wzz53000, wzz54000, ba)
new_ltEs(Just(wzz53000), Just(wzz54000), app(app(ty_Either, be), bf)) → new_ltEs2(wzz53000, wzz54000, be, bf)
new_compare22(Left(Just(wzz53000)), Left(Just(wzz54000)), False, app(ty_Maybe, app(ty_Maybe, h)), hc) → new_ltEs(wzz53000, wzz54000, h)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, app(app(app(ty_@3, bcc), bcd), bce)), bca), hc) → new_lt1(wzz53000, wzz54000, bcc, bcd, bce)
new_compare22(Left(:(wzz53000, wzz53001)), Left(:(wzz54000, wzz54001)), False, app(ty_[], ca), hc) → new_primCompAux(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, ca), ca)
new_lt0(wzz53000, wzz54000, eb) → new_compare0(wzz53000, wzz54000, eb)
new_ltEs(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bg), bh)) → new_ltEs3(wzz53000, wzz54000, bg, bh)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, app(ty_Maybe, dd)), dh), ea), hc) → new_compare20(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, dd), dd)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), app(ty_Maybe, dd), dh, ea) → new_compare20(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, dd), dd)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, bdb), app(app(app(ty_@3, bde), bdf), bdg)), hc) → new_ltEs1(wzz53001, wzz54001, bde, bdf, bdg)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), dh), app(ty_[], gc)), hc) → new_ltEs0(wzz53002, wzz54002, gc)
new_compare22(Left(Just(wzz53000)), Left(Just(wzz54000)), False, app(ty_Maybe, app(app(ty_@2, bg), bh)), hc) → new_ltEs3(wzz53000, wzz54000, bg, bh)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, dh, app(ty_Maybe, gb)) → new_ltEs(wzz53002, wzz54002, gb)
new_compare22(Left(Left(wzz53000)), Left(Left(wzz54000)), False, app(app(ty_Either, app(ty_Maybe, hd)), he), hc) → new_ltEs(wzz53000, wzz54000, hd)
new_primCompAux(wzz53000, wzz54000, wzz189, app(app(ty_@2, db), dc)) → new_compare4(wzz53000, wzz54000, db, dc)
new_compare1(wzz53000, wzz54000, dd) → new_compare20(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, dd), dd)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), app(app(ty_@2, ee), ef), dh, ea) → new_compare23(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, ee, ef), ee, ef)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, dh, app(ty_[], gc)) → new_ltEs0(wzz53002, wzz54002, gc)
new_primCompAux(wzz53000, wzz54000, wzz189, app(app(app(ty_@3, cd), ce), cf)) → new_compare2(wzz53000, wzz54000, cd, ce, cf)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), dh), app(ty_Maybe, gb)), hc) → new_ltEs(wzz53002, wzz54002, gb)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), app(ty_Maybe, bbh), bca) → new_lt(wzz53000, wzz54000, bbh)
new_compare22(Right(wzz5300), Right(wzz5400), False, bed, app(app(ty_@2, bfd), bfe)) → new_ltEs3(wzz5300, wzz5400, bfd, bfe)
new_lt2(wzz53000, wzz54000, ec, ed) → new_compare22(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, ec, ed), ec, ed)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), app(ty_Maybe, eh)), ea), hc) → new_lt(wzz53001, wzz54001, eh)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, bdb), app(ty_Maybe, bdc)), hc) → new_ltEs(wzz53001, wzz54001, bdc)
new_ltEs0(:(wzz53000, wzz53001), :(wzz54000, wzz54001), ca) → new_compare0(wzz53001, wzz54001, ca)
new_compare4(wzz53000, wzz54000, ee, ef) → new_compare23(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, ee, ef), ee, ef)
new_compare22(Left(@2(wzz53000, wzz53001)), Left(@2(wzz54000, wzz54001)), False, app(app(ty_@2, app(app(ty_@2, bch), bda)), bca), hc) → new_lt3(wzz53000, wzz54000, bch, bda)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, app(app(ty_Either, ec), ed)), dh), ea), hc) → new_compare22(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, ec, ed), ec, ed)
new_ltEs3(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bdb, app(ty_[], bdd)) → new_ltEs0(wzz53001, wzz54001, bdd)
new_ltEs1(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, dh, app(app(ty_Either, gg), gh)) → new_ltEs2(wzz53002, wzz54002, gg, gh)
new_compare20(wzz53000, wzz54000, False, dd) → new_ltEs(wzz53000, wzz54000, dd)
new_compare22(Left(@3(wzz53000, wzz53001, wzz53002)), Left(@3(wzz54000, wzz54001, wzz54002)), False, app(app(app(ty_@3, eg), app(app(app(ty_@3, fb), fc), fd)), ea), hc) → new_lt1(wzz53001, wzz54001, fb, fc, fd)
new_compare22(Left(Just(wzz53000)), Left(Just(wzz54000)), False, app(ty_Maybe, app(app(ty_Either, be), bf)), hc) → new_ltEs2(wzz53000, wzz54000, be, bf)

The TRS R consists of the following rules:

new_esEs6(Right(wzz500), Right(wzz4000), daf, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz53001, wzz54001, app(ty_[], fa)) → new_esEs14(wzz53001, wzz54001, fa)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Maybe, ddb)) → new_esEs4(wzz500, wzz4000, ddb)
new_esEs28(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz53001, wzz54001, ty_Char) → new_esEs19(wzz53001, wzz54001)
new_ltEs13(wzz5300, wzz5400) → new_fsEs(new_compare6(wzz5300, wzz5400))
new_ltEs8(wzz53001, wzz54001, ty_Bool) → new_ltEs17(wzz53001, wzz54001)
new_lt7(wzz53000, wzz54000, app(app(ty_@2, bch), bda)) → new_lt15(wzz53000, wzz54000, bch, bda)
new_ltEs19(wzz53002, wzz54002, ty_Integer) → new_ltEs16(wzz53002, wzz54002)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Integer, he) → new_ltEs16(wzz53000, wzz54000)
new_compare18(wzz53000, wzz54000, ee, ef) → new_compare28(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, ee, ef), ee, ef)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs17(False, False) → True
new_esEs24(wzz500, wzz4000, app(ty_Ratio, cfe)) → new_esEs15(wzz500, wzz4000, cfe)
new_ltEs18(EQ, GT) → True
new_esEs24(wzz500, wzz4000, app(app(app(ty_@3, cff), cfg), cfh)) → new_esEs5(wzz500, wzz4000, cff, cfg, cfh)
new_esEs15(:%(wzz500, wzz501), :%(wzz4000, wzz4001), ddg) → new_asAs(new_esEs28(wzz500, wzz4000, ddg), new_esEs27(wzz501, wzz4001, ddg))
new_esEs26(wzz53000, wzz54000, app(ty_Ratio, cgh)) → new_esEs15(wzz53000, wzz54000, cgh)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Integer, chc) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Int, chc) → new_esEs9(wzz500, wzz4000)
new_compare([], :(wzz54000, wzz54001), ca) → LT
new_esEs24(wzz500, wzz4000, app(ty_Maybe, cga)) → new_esEs4(wzz500, wzz4000, cga)
new_esEs4(Nothing, Just(wzz4000), dcd) → False
new_esEs4(Just(wzz500), Nothing, dcd) → False
new_ltEs9(Nothing, Just(wzz54000), ccc) → True
new_ltEs19(wzz53002, wzz54002, ty_Float) → new_ltEs11(wzz53002, wzz54002)
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs21(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Ratio, che), chc) → new_esEs15(wzz500, wzz4000, che)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Int, he) → new_ltEs12(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, app(ty_[], bhb)) → new_esEs14(wzz500, wzz4000, bhb)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_esEs14(:(wzz500, wzz501), :(wzz4000, wzz4001), cad) → new_asAs(new_esEs20(wzz500, wzz4000, cad), new_esEs14(wzz501, wzz4001, cad))
new_esEs13(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare(:(wzz53000, wzz53001), [], ca) → GT
new_esEs6(Right(wzz500), Right(wzz4000), daf, app(app(ty_@2, dbg), dbh)) → new_esEs7(wzz500, wzz4000, dbg, dbh)
new_esEs25(wzz53001, wzz54001, app(app(ty_Either, ff), fg)) → new_esEs6(wzz53001, wzz54001, ff, fg)
new_esEs20(wzz500, wzz4000, app(ty_Maybe, cbb)) → new_esEs4(wzz500, wzz4000, cbb)
new_lt7(wzz53000, wzz54000, app(ty_Ratio, cbh)) → new_lt13(wzz53000, wzz54000, cbh)
new_lt20(wzz53001, wzz54001, app(app(ty_Either, ff), fg)) → new_lt12(wzz53001, wzz54001, ff, fg)
new_lt20(wzz53001, wzz54001, app(ty_[], fa)) → new_lt6(wzz53001, wzz54001, fa)
new_ltEs15(wzz5300, wzz5400) → new_fsEs(new_compare17(wzz5300, wzz5400))
new_esEs23(wzz501, wzz4001, app(ty_Maybe, ceg)) → new_esEs4(wzz501, wzz4001, ceg)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Bool, chc) → new_esEs11(wzz500, wzz4000)
new_lt20(wzz53001, wzz54001, ty_Double) → new_lt14(wzz53001, wzz54001)
new_esEs6(Right(wzz500), Right(wzz4000), daf, app(ty_Ratio, dah)) → new_esEs15(wzz500, wzz4000, dah)
new_lt7(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_@0) → new_ltEs13(wzz53002, wzz54002)
new_lt19(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Integer) → new_compare19(new_sr0(wzz53000, wzz54001), new_sr0(wzz54000, wzz53001))
new_lt20(wzz53001, wzz54001, ty_Integer) → new_lt16(wzz53001, wzz54001)
new_esEs26(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Integer) → new_esEs17(wzz53001, wzz54001)
new_ltEs20(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_esEs21(wzz53000, wzz54000, app(app(ty_Either, bcf), bcg)) → new_esEs6(wzz53000, wzz54000, bcf, bcg)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, hg), hh), baa), he) → new_ltEs5(wzz53000, wzz54000, hg, hh, baa)
new_esEs26(wzz53000, wzz54000, app(ty_Maybe, dd)) → new_esEs4(wzz53000, wzz54000, dd)
new_ltEs8(wzz53001, wzz54001, app(app(app(ty_@3, bde), bdf), bdg)) → new_ltEs5(wzz53001, wzz54001, bde, bdf, bdg)
new_compare15(wzz53000, wzz54000, app(app(ty_Either, cg), da)) → new_compare16(wzz53000, wzz54000, cg, da)
new_esEs22(wzz502, wzz4002, app(ty_[], cch)) → new_esEs14(wzz502, wzz4002, cch)
new_esEs6(Right(wzz500), Right(wzz4000), daf, ty_Double) → new_esEs10(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, app(ty_[], bdd)) → new_ltEs4(wzz53001, wzz54001, bdd)
new_esEs17(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_lt17(wzz53000, wzz54000) → new_esEs8(new_compare9(wzz53000, wzz54000), LT)
new_pePe(False, wzz188) → wzz188
new_esEs14([], [], cad) → True
new_esEs25(wzz53001, wzz54001, app(app(ty_@2, fh), ga)) → new_esEs7(wzz53001, wzz54001, fh, ga)
new_esEs6(Right(wzz500), Right(wzz4000), daf, ty_Int) → new_esEs9(wzz500, wzz4000)
new_compare6(@0, @0) → EQ
new_esEs6(Left(wzz500), Left(wzz4000), ty_Char, chc) → new_esEs19(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Maybe, bhg)) → new_esEs4(wzz500, wzz4000, bhg)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, app(ty_[], bah)) → new_ltEs4(wzz53000, wzz54000, bah)
new_ltEs4(wzz5300, wzz5400, ca) → new_fsEs(new_compare(wzz5300, wzz5400, ca))
new_lt20(wzz53001, wzz54001, app(app(app(ty_@3, fb), fc), fd)) → new_lt10(wzz53001, wzz54001, fb, fc, fd)
new_compare11(wzz53000, wzz54000, False, de, df, dg) → GT
new_esEs22(wzz502, wzz4002, ty_Ordering) → new_esEs8(wzz502, wzz4002)
new_compare111(wzz53000, wzz54000, False) → GT
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare111(wzz53000, wzz54000, True) → LT
new_esEs26(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_lt4(wzz53000, wzz54000, dd) → new_esEs8(new_compare5(wzz53000, wzz54000, dd), LT)
new_compare27(wzz53000, wzz54000, False, dd) → new_compare110(wzz53000, wzz54000, new_ltEs9(wzz53000, wzz54000, dd), dd)
new_primCmpNat0(Zero, Succ(wzz5400)) → LT
new_compare5(wzz53000, wzz54000, dd) → new_compare27(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, dd), dd)
new_esEs6(Right(wzz500), Right(wzz4000), daf, ty_Char) → new_esEs19(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, app(app(ty_@2, bdb), bca)) → new_ltEs7(wzz5300, wzz5400, bdb, bca)
new_esEs26(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Left(wzz4000), daf, chc) → False
new_esEs6(Left(wzz500), Right(wzz4000), daf, chc) → False
new_esEs8(LT, LT) → True
new_compare25(wzz53000, wzz54000, True, de, df, dg) → EQ
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Ordering) → new_esEs8(wzz53001, wzz54001)
new_esEs20(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, app(ty_Maybe, ccc)) → new_ltEs9(wzz5300, wzz5400, ccc)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_pePe(True, wzz188) → True
new_primEqNat0(Zero, Zero) → True
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, ceh), cfa)) → new_esEs6(wzz501, wzz4001, ceh, cfa)
new_compare29(wzz530, wzz540, True, bed, hc) → EQ
new_lt7(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Right(wzz4000), daf, ty_@0) → new_esEs16(wzz500, wzz4000)
new_ltEs18(EQ, EQ) → True
new_esEs20(wzz500, wzz4000, app(ty_Ratio, caf)) → new_esEs15(wzz500, wzz4000, caf)
new_esEs12(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_ltEs19(wzz53002, wzz54002, app(ty_[], gc)) → new_ltEs4(wzz53002, wzz54002, gc)
new_esEs26(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs22(wzz502, wzz4002, app(app(ty_@2, cdh), cea)) → new_esEs7(wzz502, wzz4002, cdh, cea)
new_ltEs21(wzz5300, wzz5400, app(ty_Maybe, bee)) → new_ltEs9(wzz5300, wzz5400, bee)
new_esEs6(Right(wzz500), Right(wzz4000), daf, app(app(ty_Either, dbe), dbf)) → new_esEs6(wzz500, wzz4000, dbe, dbf)
new_compare15(wzz53000, wzz54000, ty_Float) → new_compare14(wzz53000, wzz54000)
new_compare16(wzz53000, wzz54000, ec, ed) → new_compare29(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, ec, ed), ec, ed)
new_sr(wzz501, wzz4001) → new_primMulInt(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_@2, bgh), bha)) → new_esEs7(wzz501, wzz4001, bgh, bha)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Maybe, hd), he) → new_ltEs9(wzz53000, wzz54000, hd)
new_lt7(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs24(wzz500, wzz4000, app(app(ty_@2, cgd), cge)) → new_esEs7(wzz500, wzz4000, cgd, cge)
new_ltEs18(LT, LT) → True
new_esEs13(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs26(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_Char) → new_ltEs10(wzz53002, wzz54002)
new_esEs24(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_lt7(wzz53000, wzz54000, app(ty_Maybe, bbh)) → new_lt4(wzz53000, wzz54000, bbh)
new_esEs8(GT, GT) → True
new_esEs12(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_primPlusNat0(Succ(wzz1340), wzz400100) → Succ(Succ(new_primPlusNat1(wzz1340, wzz400100)))
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Double, he) → new_ltEs15(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Right(wzz4000), daf, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs8(GT, LT) → False
new_esEs8(LT, GT) → False
new_compare29(Left(wzz5300), Right(wzz5400), False, bed, hc) → LT
new_ltEs19(wzz53002, wzz54002, app(ty_Maybe, gb)) → new_ltEs9(wzz53002, wzz54002, gb)
new_ltEs21(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_lt7(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_ltEs18(GT, GT) → True
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, app(app(ty_@2, bbf), bbg)) → new_ltEs7(wzz53000, wzz54000, bbf, bbg)
new_ltEs20(wzz5300, wzz5400, app(app(app(ty_@3, eg), dh), ea)) → new_ltEs5(wzz5300, wzz5400, eg, dh, ea)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Float, he) → new_ltEs11(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs20(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, app(app(ty_@2, beb), bec)) → new_ltEs7(wzz53001, wzz54001, beb, bec)
new_esEs25(wzz53001, wzz54001, ty_Bool) → new_esEs11(wzz53001, wzz54001)
new_compare113(wzz168, wzz169, True, dca, dcb) → LT
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs18(LT, GT) → True
new_esEs20(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_primPlusNat1(Succ(wzz56200), Zero) → Succ(wzz56200)
new_primPlusNat1(Zero, Succ(wzz12500)) → Succ(wzz12500)
new_esEs21(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_compare13(wzz53000, wzz54000, False) → GT
new_ltEs14(Right(wzz53000), Left(wzz54000), baf, he) → False
new_ltEs8(wzz53001, wzz54001, app(app(ty_Either, bdh), bea)) → new_ltEs14(wzz53001, wzz54001, bdh, bea)
new_ltEs17(True, False) → False
new_ltEs16(wzz5300, wzz5400) → new_fsEs(new_compare19(wzz5300, wzz5400))
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_[], chd), chc) → new_esEs14(wzz500, wzz4000, chd)
new_esEs14([], :(wzz4000, wzz4001), cad) → False
new_esEs14(:(wzz500, wzz501), [], cad) → False
new_ltEs18(GT, LT) → False
new_ltEs21(wzz5300, wzz5400, app(ty_Ratio, dcc)) → new_ltEs6(wzz5300, wzz5400, dcc)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_compare11(wzz53000, wzz54000, True, de, df, dg) → LT
new_esEs21(wzz53000, wzz54000, app(app(ty_@2, bch), bda)) → new_esEs7(wzz53000, wzz54000, bch, bda)
new_lt16(wzz53000, wzz54000) → new_esEs8(new_compare19(wzz53000, wzz54000), LT)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Bool, he) → new_ltEs17(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_[], ba)) → new_ltEs4(wzz53000, wzz54000, ba)
new_esEs26(wzz53000, wzz54000, app(ty_[], eb)) → new_esEs14(wzz53000, wzz54000, eb)
new_compare112(wzz53000, wzz54000, False, ee, ef) → GT
new_compare15(wzz53000, wzz54000, ty_Int) → new_compare8(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, app(ty_Ratio, cha)) → new_esEs15(wzz53001, wzz54001, cha)
new_ltEs5(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), eg, dh, ea) → new_pePe(new_lt19(wzz53000, wzz54000, eg), new_asAs(new_esEs26(wzz53000, wzz54000, eg), new_pePe(new_lt20(wzz53001, wzz54001, dh), new_asAs(new_esEs25(wzz53001, wzz54001, dh), new_ltEs19(wzz53002, wzz54002, ea)))))
new_compare8(wzz53, wzz54) → new_primCmpInt(wzz53, wzz54)
new_ltEs20(wzz5300, wzz5400, app(ty_[], ca)) → new_ltEs4(wzz5300, wzz5400, ca)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_esEs8(EQ, EQ) → True
new_ltEs21(wzz5300, wzz5400, app(app(ty_Either, bfb), bfc)) → new_ltEs14(wzz5300, wzz5400, bfb, bfc)
new_lt13(wzz53000, wzz54000, cgh) → new_esEs8(new_compare12(wzz53000, wzz54000, cgh), LT)
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_compare7(Char(wzz53000), Char(wzz54000)) → new_primCmpNat0(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_esEs22(wzz502, wzz4002, app(app(app(ty_@3, cdb), cdc), cdd)) → new_esEs5(wzz502, wzz4002, cdb, cdc, cdd)
new_compare([], [], ca) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs20(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_primCmpNat0(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat0(wzz5300, wzz5400)
new_esEs22(wzz502, wzz4002, app(ty_Maybe, cde)) → new_esEs4(wzz502, wzz4002, cde)
new_esEs25(wzz53001, wzz54001, app(ty_Maybe, eh)) → new_esEs4(wzz53001, wzz54001, eh)
new_esEs26(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs11(False, False) → True
new_esEs12(wzz501, wzz4001, app(app(app(ty_@3, bgb), bgc), bgd)) → new_esEs5(wzz501, wzz4001, bgb, bgc, bgd)
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_compare15(wzz53000, wzz54000, app(ty_[], cc)) → new_compare(wzz53000, wzz54000, cc)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_Either, ddc), ddd)) → new_esEs6(wzz500, wzz4000, ddc, ddd)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, chf), chg), chh), chc) → new_esEs5(wzz500, wzz4000, chf, chg, chh)
new_ltEs21(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_esEs25(wzz53001, wzz54001, ty_Int) → new_esEs9(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Int) → new_ltEs12(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Ordering) → new_ltEs18(wzz53001, wzz54001)
new_esEs6(Right(wzz500), Right(wzz4000), daf, app(ty_Maybe, dbd)) → new_esEs4(wzz500, wzz4000, dbd)
new_esEs6(Left(wzz500), Left(wzz4000), ty_@0, chc) → new_esEs16(wzz500, wzz4000)
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_esEs24(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs27(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_lt5(wzz53000, wzz54000) → new_esEs8(new_compare7(wzz53000, wzz54000), LT)
new_esEs21(wzz53000, wzz54000, app(ty_[], bcb)) → new_esEs14(wzz53000, wzz54000, bcb)
new_esEs13(wzz500, wzz4000, app(app(app(ty_@3, bhd), bhe), bhf)) → new_esEs5(wzz500, wzz4000, bhd, bhe, bhf)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, dcg), dch), dda)) → new_esEs5(wzz500, wzz4000, dcg, dch, dda)
new_lt11(wzz53000, wzz54000) → new_esEs8(new_compare6(wzz53000, wzz54000), LT)
new_compare113(wzz168, wzz169, False, dca, dcb) → GT
new_compare26(wzz53000, wzz54000) → new_compare210(wzz53000, wzz54000, new_esEs8(wzz53000, wzz54000))
new_esEs22(wzz502, wzz4002, ty_Double) → new_esEs10(wzz502, wzz4002)
new_lt14(wzz53000, wzz54000) → new_esEs8(new_compare17(wzz53000, wzz54000), LT)
new_primCompAux00(wzz202, LT) → LT
new_primCmpInt(Neg(Succ(wzz5300)), Neg(wzz540)) → new_primCmpNat0(wzz540, Succ(wzz5300))
new_compare114(wzz161, wzz162, True, ddh, dea) → LT
new_esEs24(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_primCompAux0(wzz53000, wzz54000, wzz189, ca) → new_primCompAux00(wzz189, new_compare15(wzz53000, wzz54000, ca))
new_esEs8(LT, EQ) → False
new_esEs8(EQ, LT) → False
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_lt10(wzz53000, wzz54000, de, df, dg) → new_esEs8(new_compare10(wzz53000, wzz54000, de, df, dg), LT)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(wzz5300), Zero) → GT
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Maybe, h)) → new_ltEs9(wzz53000, wzz54000, h)
new_compare15(wzz53000, wzz54000, ty_@0) → new_compare6(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_[], hf), he) → new_ltEs4(wzz53000, wzz54000, hf)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz5400))) → LT
new_compare13(wzz53000, wzz54000, True) → LT
new_sr0(Integer(wzz530000), Integer(wzz540010)) → Integer(new_primMulInt(wzz530000, wzz540010))
new_primPlusNat1(Succ(wzz56200), Succ(wzz12500)) → Succ(Succ(new_primPlusNat1(wzz56200, wzz12500)))
new_lt7(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, app(ty_Ratio, bga)) → new_esEs15(wzz501, wzz4001, bga)
new_compare28(wzz53000, wzz54000, True, ee, ef) → EQ
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_esEs20(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_compare(:(wzz53000, wzz53001), :(wzz54000, wzz54001), ca) → new_primCompAux0(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, ca), ca)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_compare210(wzz53000, wzz54000, False) → new_compare13(wzz53000, wzz54000, new_ltEs18(wzz53000, wzz54000))
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_@2, bad), bae), he) → new_ltEs7(wzz53000, wzz54000, bad, bae)
new_compare10(wzz53000, wzz54000, de, df, dg) → new_compare25(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, de, df, dg), de, df, dg)
new_esEs18(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Maybe, daa), chc) → new_esEs4(wzz500, wzz4000, daa)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, bb), bc), bd)) → new_ltEs5(wzz53000, wzz54000, bb, bc, bd)
new_esEs26(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_ltEs9(Just(wzz53000), Nothing, ccc) → False
new_primCompAux00(wzz202, EQ) → wzz202
new_primCmpInt(Pos(Zero), Pos(Succ(wzz5400))) → new_primCmpNat0(Zero, Succ(wzz5400))
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bg), bh)) → new_ltEs7(wzz53000, wzz54000, bg, bh)
new_compare24(wzz53000, wzz54000, True) → EQ
new_compare29(Right(wzz5300), Right(wzz5400), False, bed, hc) → new_compare113(wzz5300, wzz5400, new_ltEs21(wzz5300, wzz5400, hc), bed, hc)
new_lt19(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs22(wzz502, wzz4002, ty_@0) → new_esEs16(wzz502, wzz4002)
new_ltEs8(wzz53001, wzz54001, ty_@0) → new_ltEs13(wzz53001, wzz54001)
new_compare15(wzz53000, wzz54000, app(app(ty_@2, db), dc)) → new_compare18(wzz53000, wzz54000, db, dc)
new_esEs8(GT, EQ) → False
new_esEs8(EQ, GT) → False
new_esEs20(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, ty_Char) → new_ltEs10(wzz53001, wzz54001)
new_lt7(wzz53000, wzz54000, app(app(ty_Either, bcf), bcg)) → new_lt12(wzz53000, wzz54000, bcf, bcg)
new_esEs22(wzz502, wzz4002, ty_Float) → new_esEs18(wzz502, wzz4002)
new_ltEs18(GT, EQ) → False
new_esEs21(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_@2, dad), dae), chc) → new_esEs7(wzz500, wzz4000, dad, dae)
new_lt7(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_not(False) → True
new_compare114(wzz161, wzz162, False, ddh, dea) → GT
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_Either, dab), dac), chc) → new_esEs6(wzz500, wzz4000, dab, dac)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Ratio, dcf)) → new_esEs15(wzz500, wzz4000, dcf)
new_primPlusNat0(Zero, wzz400100) → Succ(wzz400100)
new_compare110(wzz53000, wzz54000, True, dd) → LT
new_primCmpInt(Pos(Succ(wzz5300)), Pos(wzz540)) → new_primCmpNat0(Succ(wzz5300), wzz540)
new_compare15(wzz53000, wzz54000, ty_Char) → new_compare7(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Nothing, Nothing, ccc) → True
new_esEs24(wzz500, wzz4000, app(app(ty_Either, cgb), cgc)) → new_esEs6(wzz500, wzz4000, cgb, cgc)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, app(ty_Ratio, cgg)) → new_ltEs6(wzz53000, wzz54000, cgg)
new_esEs24(wzz500, wzz4000, app(ty_[], cfd)) → new_esEs14(wzz500, wzz4000, cfd)
new_esEs25(wzz53001, wzz54001, ty_Float) → new_esEs18(wzz53001, wzz54001)
new_ltEs18(EQ, LT) → False
new_lt19(wzz53000, wzz54000, app(ty_[], eb)) → new_lt6(wzz53000, wzz54000, eb)
new_ltEs18(LT, EQ) → True
new_lt20(wzz53001, wzz54001, ty_Ordering) → new_lt18(wzz53001, wzz54001)
new_esEs21(wzz53000, wzz54000, app(ty_Ratio, cbh)) → new_esEs15(wzz53000, wzz54000, cbh)
new_esEs22(wzz502, wzz4002, ty_Bool) → new_esEs11(wzz502, wzz4002)
new_esEs20(wzz500, wzz4000, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(wzz500, wzz4000, cag, cah, cba)
new_esEs6(Right(wzz500), Right(wzz4000), daf, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_primCmpInt(Pos(Succ(wzz5300)), Neg(wzz540)) → GT
new_esEs13(wzz500, wzz4000, app(app(ty_Either, bhh), caa)) → new_esEs6(wzz500, wzz4000, bhh, caa)
new_lt8(wzz53000, wzz54000) → new_esEs8(new_compare14(wzz53000, wzz54000), LT)
new_esEs24(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs21(wzz53000, wzz54000, app(app(app(ty_@3, bcc), bcd), bce)) → new_esEs5(wzz53000, wzz54000, bcc, bcd, bce)
new_lt6(wzz53000, wzz54000, eb) → new_esEs8(new_compare(wzz53000, wzz54000, eb), LT)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_primMulInt(Pos(wzz5010), Pos(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_compare19(Integer(wzz53000), Integer(wzz54000)) → new_primCmpInt(wzz53000, wzz54000)
new_ltEs12(wzz5300, wzz5400) → new_fsEs(new_compare8(wzz5300, wzz5400))
new_esEs12(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs18(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_primMulInt(Neg(wzz5010), Neg(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_ltEs19(wzz53002, wzz54002, app(ty_Ratio, chb)) → new_ltEs6(wzz53002, wzz54002, chb)
new_lt15(wzz53000, wzz54000, ee, ef) → new_esEs8(new_compare18(wzz53000, wzz54000, ee, ef), LT)
new_ltEs8(wzz53001, wzz54001, app(ty_Maybe, bdc)) → new_ltEs9(wzz53001, wzz54001, bdc)
new_lt9(wzz530, wzz540) → new_esEs8(new_compare8(wzz530, wzz540), LT)
new_primEqNat0(Succ(wzz5000), Zero) → False
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_esEs21(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_Int) → new_ltEs12(wzz53002, wzz54002)
new_esEs26(wzz53000, wzz54000, app(app(ty_@2, ee), ef)) → new_esEs7(wzz53000, wzz54000, ee, ef)
new_esEs24(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, dcd) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_Either, be), bf)) → new_ltEs14(wzz53000, wzz54000, be, bf)
new_esEs22(wzz502, wzz4002, app(ty_Ratio, cda)) → new_esEs15(wzz502, wzz4002, cda)
new_ltEs21(wzz5300, wzz5400, app(app(ty_@2, bfd), bfe)) → new_ltEs7(wzz5300, wzz5400, bfd, bfe)
new_esEs13(wzz500, wzz4000, app(app(ty_@2, cab), cac)) → new_esEs7(wzz500, wzz4000, cab, cac)
new_esEs20(wzz500, wzz4000, app(app(ty_Either, cbc), cbd)) → new_esEs6(wzz500, wzz4000, cbc, cbd)
new_esEs22(wzz502, wzz4002, ty_Int) → new_esEs9(wzz502, wzz4002)
new_compare210(wzz53000, wzz54000, True) → EQ
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, app(app(app(ty_@3, beg), beh), bfa)) → new_ltEs5(wzz5300, wzz5400, beg, beh, bfa)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_@0, he) → new_ltEs13(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, app(ty_[], ceb)) → new_esEs14(wzz501, wzz4001, ceb)
new_compare9(wzz53000, wzz54000) → new_compare24(wzz53000, wzz54000, new_esEs11(wzz53000, wzz54000))
new_esEs12(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs24(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, ty_Float) → new_ltEs11(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Ratio, cca)) → new_ltEs6(wzz53001, wzz54001, cca)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz5400))) → new_primCmpNat0(Succ(wzz5400), Zero)
new_lt20(wzz53001, wzz54001, app(app(ty_@2, fh), ga)) → new_lt15(wzz53001, wzz54001, fh, ga)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz5400))) → GT
new_esEs6(Right(wzz500), Right(wzz4000), daf, app(ty_[], dag)) → new_esEs14(wzz500, wzz4000, dag)
new_compare110(wzz53000, wzz54000, False, dd) → GT
new_esEs6(Left(wzz500), Left(wzz4000), ty_Ordering, chc) → new_esEs8(wzz500, wzz4000)
new_lt12(wzz53000, wzz54000, ec, ed) → new_esEs8(new_compare16(wzz53000, wzz54000, ec, ed), LT)
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_ltEs20(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs19(wzz53002, wzz54002, ty_Bool) → new_ltEs17(wzz53002, wzz54002)
new_ltEs7(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bdb, bca) → new_pePe(new_lt7(wzz53000, wzz54000, bdb), new_asAs(new_esEs21(wzz53000, wzz54000, bdb), new_ltEs8(wzz53001, wzz54001, bca)))
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_[], dce)) → new_esEs14(wzz500, wzz4000, dce)
new_esEs27(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_lt18(wzz53000, wzz54000) → new_esEs8(new_compare26(wzz53000, wzz54000), LT)
new_compare25(wzz53000, wzz54000, False, de, df, dg) → new_compare11(wzz53000, wzz54000, new_ltEs5(wzz53000, wzz54000, de, df, dg), de, df, dg)
new_esEs21(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Double) → new_esEs10(wzz53001, wzz54001)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, app(app(app(ty_@3, bba), bbb), bbc)) → new_ltEs5(wzz53000, wzz54000, bba, bbb, bbc)
new_esEs13(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs21(wzz53000, wzz54000, app(ty_Maybe, bbh)) → new_esEs4(wzz53000, wzz54000, bbh)
new_esEs19(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_esEs22(wzz502, wzz4002, ty_Char) → new_esEs19(wzz502, wzz4002)
new_compare29(Right(wzz5300), Left(wzz5400), False, bed, hc) → GT
new_esEs10(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_lt19(wzz53000, wzz54000, app(ty_Ratio, cgh)) → new_lt13(wzz53000, wzz54000, cgh)
new_esEs21(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, cec)) → new_esEs15(wzz501, wzz4001, cec)
new_esEs21(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_compare29(Left(wzz5300), Left(wzz5400), False, bed, hc) → new_compare114(wzz5300, wzz5400, new_ltEs20(wzz5300, wzz5400, bed), bed, hc)
new_ltEs14(Left(wzz53000), Right(wzz54000), baf, he) → True
new_esEs12(wzz501, wzz4001, app(app(ty_Either, bgf), bgg)) → new_esEs6(wzz501, wzz4001, bgf, bgg)
new_compare15(wzz53000, wzz54000, app(ty_Ratio, ccb)) → new_compare12(wzz53000, wzz54000, ccb)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs12(wzz501, wzz4001, app(ty_Maybe, bge)) → new_esEs4(wzz501, wzz4001, bge)
new_ltEs19(wzz53002, wzz54002, app(app(ty_@2, ha), hb)) → new_ltEs7(wzz53002, wzz54002, ha, hb)
new_asAs(False, wzz156) → False
new_ltEs20(wzz5300, wzz5400, app(app(ty_Either, baf), he)) → new_ltEs14(wzz5300, wzz5400, baf, he)
new_ltEs19(wzz53002, wzz54002, app(app(ty_Either, gg), gh)) → new_ltEs14(wzz53002, wzz54002, gg, gh)
new_primMulInt(Pos(wzz5010), Neg(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Pos(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulNat0(Succ(wzz50100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz400100)) → Zero
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Ratio, cgf), he) → new_ltEs6(wzz53000, wzz54000, cgf)
new_esEs25(wzz53001, wzz54001, ty_@0) → new_esEs16(wzz53001, wzz54001)
new_lt19(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_@2, ee), ef)) → new_lt15(wzz53000, wzz54000, ee, ef)
new_esEs13(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cfb), cfc)) → new_esEs7(wzz501, wzz4001, cfb, cfc)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_ltEs6(wzz5300, wzz5400, cbg) → new_fsEs(new_compare12(wzz5300, wzz5400, cbg))
new_lt19(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_ltEs21(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_lt20(wzz53001, wzz54001, ty_Float) → new_lt8(wzz53001, wzz54001)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Double, chc) → new_esEs10(wzz500, wzz4000)
new_compare24(wzz53000, wzz54000, False) → new_compare111(wzz53000, wzz54000, new_ltEs17(wzz53000, wzz54000))
new_esEs24(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_lt19(wzz53000, wzz54000, app(app(ty_Either, ec), ed)) → new_lt12(wzz53000, wzz54000, ec, ed)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, app(app(ty_Either, bbd), bbe)) → new_ltEs14(wzz53000, wzz54000, bbd, bbe)
new_esEs11(True, True) → True
new_ltEs17(True, True) → True
new_lt19(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(app(ty_@3, de), df), dg)) → new_lt10(wzz53000, wzz54000, de, df, dg)
new_lt7(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_esEs16(@0, @0) → True
new_esEs26(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_compare17(Double(wzz53000, wzz53001), Double(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Integer) → new_compare19(wzz53000, wzz54000)
new_esEs5(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cce, ccf, ccg) → new_asAs(new_esEs24(wzz500, wzz4000, cce), new_asAs(new_esEs23(wzz501, wzz4001, ccf), new_esEs22(wzz502, wzz4002, ccg)))
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_Either, bab), bac), he) → new_ltEs14(wzz53000, wzz54000, bab, bac)
new_ltEs19(wzz53002, wzz54002, app(app(app(ty_@3, gd), ge), gf)) → new_ltEs5(wzz53002, wzz54002, gd, ge, gf)
new_ltEs8(wzz53001, wzz54001, ty_Double) → new_ltEs15(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Char) → new_lt5(wzz53001, wzz54001)
new_lt19(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Int) → new_compare8(new_sr(wzz53000, wzz54001), new_sr(wzz54000, wzz53001))
new_ltEs21(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs19(wzz500, wzz4000)
new_lt7(wzz53000, wzz54000, app(app(app(ty_@3, bcc), bcd), bce)) → new_lt10(wzz53000, wzz54000, bcc, bcd, bce)
new_lt19(wzz53000, wzz54000, app(ty_Maybe, dd)) → new_lt4(wzz53000, wzz54000, dd)
new_ltEs20(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs17(False, True) → True
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Ratio, ccd)) → new_ltEs6(wzz53000, wzz54000, ccd)
new_esEs25(wzz53001, wzz54001, app(app(app(ty_@3, fb), fc), fd)) → new_esEs5(wzz53001, wzz54001, fb, fc, fd)
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_ltEs20(wzz5300, wzz5400, app(ty_Ratio, cbg)) → new_ltEs6(wzz5300, wzz5400, cbg)
new_esEs22(wzz502, wzz4002, app(app(ty_Either, cdf), cdg)) → new_esEs6(wzz502, wzz4002, cdf, cdg)
new_ltEs21(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_esEs22(wzz502, wzz4002, ty_Integer) → new_esEs17(wzz502, wzz4002)
new_compare15(wzz53000, wzz54000, app(ty_Maybe, cb)) → new_compare5(wzz53000, wzz54000, cb)
new_esEs28(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_@2, dde), ddf)) → new_esEs7(wzz500, wzz4000, dde, ddf)
new_ltEs11(wzz5300, wzz5400) → new_fsEs(new_compare14(wzz5300, wzz5400))
new_esEs13(wzz500, wzz4000, app(ty_Ratio, bhc)) → new_esEs15(wzz500, wzz4000, bhc)
new_ltEs10(wzz5300, wzz5400) → new_fsEs(new_compare7(wzz5300, wzz5400))
new_compare27(wzz53000, wzz54000, True, dd) → EQ
new_ltEs19(wzz53002, wzz54002, ty_Double) → new_ltEs15(wzz53002, wzz54002)
new_compare14(Float(wzz53000, wzz53001), Float(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs21(wzz5300, wzz5400, app(ty_[], bef)) → new_ltEs4(wzz5300, wzz5400, bef)
new_esEs20(wzz500, wzz4000, app(app(ty_@2, cbe), cbf)) → new_esEs7(wzz500, wzz4000, cbe, cbf)
new_lt19(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_Either, ec), ed)) → new_esEs6(wzz53000, wzz54000, ec, ed)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs12(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs13(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_compare15(wzz53000, wzz54000, ty_Bool) → new_compare9(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, app(ty_[], bfh)) → new_esEs14(wzz501, wzz4001, bfh)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Char, he) → new_ltEs10(wzz53000, wzz54000)
new_asAs(True, wzz156) → wzz156
new_compare15(wzz53000, wzz54000, ty_Ordering) → new_compare26(wzz53000, wzz54000)
new_compare112(wzz53000, wzz54000, True, ee, ef) → LT
new_esEs26(wzz53000, wzz54000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(wzz53000, wzz54000, de, df, dg)
new_primMulNat0(Succ(wzz50100), Succ(wzz400100)) → new_primPlusNat0(new_primMulNat0(wzz50100, Succ(wzz400100)), wzz400100)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Float, chc) → new_esEs18(wzz500, wzz4000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Ordering, he) → new_ltEs18(wzz53000, wzz54000)
new_esEs7(@2(wzz500, wzz501), @2(wzz4000, wzz4001), bff, bfg) → new_asAs(new_esEs13(wzz500, wzz4000, bff), new_esEs12(wzz501, wzz4001, bfg))
new_esEs13(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_ltEs19(wzz53002, wzz54002, ty_Ordering) → new_ltEs18(wzz53002, wzz54002)
new_lt20(wzz53001, wzz54001, ty_Bool) → new_lt17(wzz53001, wzz54001)
new_fsEs(wzz171) → new_not(new_esEs8(wzz171, GT))
new_lt20(wzz53001, wzz54001, ty_@0) → new_lt11(wzz53001, wzz54001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, ced), cee), cef)) → new_esEs5(wzz501, wzz4001, ced, cee, cef)
new_lt20(wzz53001, wzz54001, ty_Int) → new_lt9(wzz53001, wzz54001)
new_esEs20(wzz500, wzz4000, app(ty_[], cae)) → new_esEs14(wzz500, wzz4000, cae)
new_ltEs8(wzz53001, wzz54001, ty_Integer) → new_ltEs16(wzz53001, wzz54001)
new_esEs9(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_lt19(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_ltEs20(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_lt7(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs12(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_lt20(wzz53001, wzz54001, app(ty_Ratio, cha)) → new_lt13(wzz53001, wzz54001, cha)
new_ltEs20(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_esEs20(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_compare28(wzz53000, wzz54000, False, ee, ef) → new_compare112(wzz53000, wzz54000, new_ltEs7(wzz53000, wzz54000, ee, ef), ee, ef)
new_primCompAux00(wzz202, GT) → GT
new_esEs24(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_compare15(wzz53000, wzz54000, ty_Double) → new_compare17(wzz53000, wzz54000)
new_lt20(wzz53001, wzz54001, app(ty_Maybe, eh)) → new_lt4(wzz53001, wzz54001, eh)
new_esEs6(Right(wzz500), Right(wzz4000), daf, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(wzz500), Right(wzz4000), daf, app(app(app(ty_@3, dba), dbb), dbc)) → new_esEs5(wzz500, wzz4000, dba, dbb, dbc)
new_ltEs14(Right(wzz53000), Right(wzz54000), baf, app(ty_Maybe, bag)) → new_ltEs9(wzz53000, wzz54000, bag)
new_compare15(wzz53000, wzz54000, app(app(app(ty_@3, cd), ce), cf)) → new_compare10(wzz53000, wzz54000, cd, ce, cf)
new_esEs21(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primCmpInt(Neg(Succ(wzz5300)), Pos(wzz540)) → LT
new_not(True) → False
new_lt7(wzz53000, wzz54000, app(ty_[], bcb)) → new_lt6(wzz53000, wzz54000, bcb)

The set Q consists of the following terms:

new_compare18(x0, x1, x2, x3)
new_compare15(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_compare110(x0, x1, True, x2)
new_primEqNat0(Succ(x0), Zero)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs8(x0, x1, ty_Double)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs11(True, True)
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs20(x0, x1, ty_Float)
new_esEs12(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_esEs24(x0, x1, app(ty_[], x2))
new_lt7(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1, ty_Bool)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt19(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs18(Float(x0, x1), Float(x2, x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Float)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs20(x0, x1, ty_Integer)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Int)
new_ltEs9(Just(x0), Just(x1), app(ty_[], x2))
new_esEs20(x0, x1, ty_Int)
new_esEs15(:%(x0, x1), :%(x2, x3), x4)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs11(True, False)
new_esEs11(False, True)
new_esEs12(x0, x1, ty_Double)
new_esEs8(GT, GT)
new_compare112(x0, x1, False, x2, x3)
new_compare112(x0, x1, True, x2, x3)
new_lt19(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare29(x0, x1, True, x2, x3)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs13(x0, x1, ty_Float)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_esEs14([], :(x0, x1), x2)
new_esEs8(LT, LT)
new_compare25(x0, x1, False, x2, x3, x4)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs16(@0, @0)
new_esEs24(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs4(Nothing, Just(x0), x1)
new_lt16(x0, x1)
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Char)
new_compare15(x0, x1, ty_Bool)
new_ltEs9(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, ty_Integer)
new_compare28(x0, x1, True, x2, x3)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare11(x0, x1, True, x2, x3, x4)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_compare9(x0, x1)
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare24(x0, x1, False)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Right(x1), x2, x3)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_primEqNat0(Succ(x0), Succ(x1))
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs13(x0, x1, ty_Int)
new_ltEs17(False, False)
new_esEs22(x0, x1, ty_Double)
new_esEs13(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_@0)
new_esEs22(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_compare10(x0, x1, x2, x3, x4)
new_ltEs18(GT, LT)
new_ltEs18(LT, GT)
new_compare210(x0, x1, False)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Ratio, x2))
new_ltEs8(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs10(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Bool)
new_ltEs9(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Float)
new_ltEs13(x0, x1)
new_ltEs9(Just(x0), Just(x1), ty_Char)
new_esEs23(x0, x1, ty_Double)
new_asAs(False, x0)
new_ltEs16(x0, x1)
new_primMulNat0(Zero, Zero)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs18(EQ, LT)
new_ltEs18(LT, EQ)
new_esEs21(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Bool)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs8(x0, x1, ty_@0)
new_compare114(x0, x1, False, x2, x3)
new_primPlusNat1(Zero, Succ(x0))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_compare15(x0, x1, app(ty_[], x2))
new_lt19(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Ordering)
new_lt14(x0, x1)
new_ltEs17(True, True)
new_esEs21(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Bool)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Double)
new_lt10(x0, x1, x2, x3, x4)
new_esEs25(x0, x1, ty_@0)
new_compare16(x0, x1, x2, x3)
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_compare15(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_compare17(Double(x0, x1), Double(x2, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs4(Nothing, Nothing, x0)
new_ltEs9(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Double)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_compare5(x0, x1, x2)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs9(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare110(x0, x1, False, x2)
new_lt19(x0, x1, ty_Float)
new_esEs14([], [], x0)
new_compare8(x0, x1)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs11(False, False)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_lt17(x0, x1)
new_lt11(x0, x1)
new_esEs24(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare15(x0, x1, ty_Int)
new_esEs13(x0, x1, ty_Ordering)
new_pePe(False, x0)
new_lt19(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, ty_Bool)
new_compare114(x0, x1, True, x2, x3)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(x0, x1)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt6(x0, x1, x2)
new_compare11(x0, x1, False, x2, x3, x4)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_ltEs8(x0, x1, app(ty_Maybe, x2))
new_primPlusNat1(Zero, Zero)
new_pePe(True, x0)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_lt20(x0, x1, ty_Char)
new_ltEs8(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_lt7(x0, x1, ty_@0)
new_esEs12(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_lt7(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs12(x0, x1, ty_Integer)
new_primCompAux00(x0, GT)
new_compare(:(x0, x1), :(x2, x3), x4)
new_lt19(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_sr0(Integer(x0), Integer(x1))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_compare15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Int)
new_ltEs9(Just(x0), Just(x1), ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_compare15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1)
new_ltEs19(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs8(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, ty_@0)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs9(Nothing, Just(x0), x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_compare([], [], x0)
new_esEs12(x0, x1, ty_Bool)
new_compare29(Left(x0), Left(x1), False, x2, x3)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs9(Just(x0), Just(x1), ty_@0)
new_esEs20(x0, x1, ty_Ordering)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Int)
new_lt5(x0, x1)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs12(x0, x1, ty_@0)
new_ltEs12(x0, x1)
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs23(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Integer)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primPlusNat0(Succ(x0), x1)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_sr(x0, x1)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs11(x0, x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare29(Left(x0), Right(x1), False, x2, x3)
new_compare29(Right(x0), Left(x1), False, x2, x3)
new_primCompAux00(x0, LT)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(LT, LT)
new_lt7(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, x2, x3)
new_ltEs20(x0, x1, ty_Int)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs24(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_compare113(x0, x1, True, x2, x3)
new_compare(:(x0, x1), [], x2)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs20(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs8(x0, x1, ty_Char)
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_compare13(x0, x1, False)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_compare6(@0, @0)
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs20(x0, x1, ty_Char)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Bool)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_esEs24(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs18(EQ, GT)
new_ltEs18(GT, EQ)
new_lt13(x0, x1, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Char)
new_esEs14(:(x0, x1), [], x2)
new_ltEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Zero, Zero)
new_ltEs8(x0, x1, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs4(Just(x0), Nothing, x1)
new_compare27(x0, x1, False, x2)
new_esEs21(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(ty_[], x2))
new_compare15(x0, x1, ty_Float)
new_ltEs9(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, ty_Float)
new_ltEs9(Just(x0), Just(x1), ty_Double)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs24(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_ltEs9(Just(x0), Just(x1), ty_Integer)
new_ltEs9(Just(x0), Nothing, x1)
new_lt20(x0, x1, ty_Bool)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_compare15(x0, x1, app(ty_Maybe, x2))
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs4(x0, x1, x2)
new_esEs21(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, False)
new_ltEs8(x0, x1, ty_Int)
new_compare29(Right(x0), Right(x1), False, x2, x3)
new_ltEs20(x0, x1, ty_Ordering)
new_asAs(True, x0)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs28(x0, x1, ty_Int)
new_compare28(x0, x1, False, x2, x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_esEs24(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_ltEs6(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, ty_Float)
new_esEs13(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(EQ, EQ)
new_compare15(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt15(x0, x1, x2, x3)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_not(True)
new_esEs26(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Double)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(Just(x0), Just(x1), ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs22(x0, x1, ty_Char)
new_compare15(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare24(x0, x1, True)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_lt7(x0, x1, ty_Bool)
new_not(False)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs13(x0, x1, ty_Integer)
new_esEs19(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_lt18(x0, x1)
new_ltEs17(False, True)
new_ltEs17(True, False)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_compare25(x0, x1, True, x2, x3, x4)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_compare26(x0, x1)
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_compare15(x0, x1, ty_Double)
new_compare19(Integer(x0), Integer(x1))
new_esEs25(x0, x1, ty_Int)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Float)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1)
new_lt4(x0, x1, x2)
new_esEs23(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_ltEs9(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Bool)
new_ltEs18(GT, GT)
new_esEs12(x0, x1, ty_Ordering)
new_compare15(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primPlusNat0(Zero, x0)
new_esEs10(Double(x0, x1), Double(x2, x3))
new_esEs25(x0, x1, ty_Float)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(Integer(x0), Integer(x1))
new_lt7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_@0)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, EQ)
new_esEs25(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_compare27(x0, x1, True, x2)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_lt7(x0, x1, ty_Char)
new_compare([], :(x0, x1), x2)
new_esEs21(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Double)
new_ltEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Zero), Pos(Zero))
new_lt20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Bool)
new_compare14(Float(x0, x1), Float(x2, x3))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_lt8(x0, x1)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Float)
new_compare113(x0, x1, False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_compare7(Char(x0), Char(x1))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_primCompAux0(x0, x1, x2, x3)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt7(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs20(x0, x1, app(ty_Ratio, x2))

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

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

new_addToFM_C2(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, h, ba, bb) → new_addToFM_C(wzz17, wzz21, Left(wzz23), wzz24, h, ba, bb)
new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz43, Left(wzz50), wzz6, bc, bd, be)
new_addToFM_C1(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, h, ba, bb) → new_addToFM_C(wzz17, wzz22, Left(wzz23), wzz24, h, ba, bb)
new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, bc, bd, be) → new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Right(wzz400), False, bc, bd), GT), bc, bd, be)
new_addToFM_C22(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, True, bf, bg, bh) → new_addToFM_C(wzz36, wzz40, Right(wzz42), wzz43, bf, bg, bh)
new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz43, Right(wzz50), wzz6, bc, bd, be)
new_addToFM_C(wzz3, Branch(Left(wzz400), wzz41, wzz42, wzz43, wzz44), Left(wzz50), wzz6, bc, bd, be) → new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Left(wzz400), new_esEs30(wzz50, wzz400, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, bc, bd, be) → new_addToFM_C11(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Left(wzz400), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(wzz3, Branch(Left(wzz400), wzz41, wzz42, wzz43, wzz44), Right(wzz50), wzz6, bc, bd, be) → new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Left(wzz400), False, bc, bd), LT), bc, bd, be)
new_addToFM_C22(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, False, bf, bg, bh) → new_addToFM_C12(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, new_esEs8(new_compare29(Right(wzz42), Right(wzz37), new_esEs32(wzz42, wzz37, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C11(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz44, Right(wzz50), wzz6, bc, bd, be)
new_addToFM_C(wzz3, Branch(Right(wzz400), wzz41, wzz42, wzz43, wzz44), Left(wzz50), wzz6, bc, bd, be) → new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Right(wzz400), False, bc, bd), LT), bc, bd, be)
new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz44, Left(wzz50), wzz6, bc, bd, be)
new_addToFM_C2(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, False, h, ba, bb) → new_addToFM_C1(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, new_esEs8(new_compare29(Left(wzz23), Left(wzz18), new_esEs29(wzz23, wzz18, h), h, ba), GT), h, ba, bb)
new_addToFM_C(wzz3, Branch(Right(wzz400), wzz41, wzz42, wzz43, wzz44), Right(wzz50), wzz6, bc, bd, be) → new_addToFM_C22(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Right(wzz400), new_esEs31(wzz50, wzz400, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C12(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, True, bf, bg, bh) → new_addToFM_C(wzz36, wzz41, Right(wzz42), wzz43, bf, bg, bh)

The TRS R consists of the following rules:

new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz53001, wzz54001, app(ty_[], cfh)) → new_esEs14(wzz53001, wzz54001, cfh)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Maybe, dgg)) → new_esEs4(wzz500, wzz4000, dgg)
new_esEs28(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, ty_Integer) → new_esEs17(wzz23, wzz18)
new_esEs25(wzz53001, wzz54001, ty_Char) → new_esEs19(wzz53001, wzz54001)
new_ltEs13(wzz5300, wzz5400) → new_fsEs(new_compare6(wzz5300, wzz5400))
new_ltEs8(wzz53001, wzz54001, ty_Bool) → new_ltEs17(wzz53001, wzz54001)
new_lt7(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_lt15(wzz53000, wzz54000, bbg, bbh)
new_ltEs19(wzz53002, wzz54002, ty_Integer) → new_ltEs16(wzz53002, wzz54002)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Integer, ccd) → new_ltEs16(wzz53000, wzz54000)
new_compare18(wzz53000, wzz54000, cca, ccb) → new_compare28(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs17(False, False) → True
new_esEs24(wzz500, wzz4000, app(ty_Ratio, cah)) → new_esEs15(wzz500, wzz4000, cah)
new_ltEs18(EQ, GT) → True
new_esEs24(wzz500, wzz4000, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs5(wzz500, wzz4000, cba, cbb, cbc)
new_esEs15(:%(wzz500, wzz501), :%(wzz4000, wzz4001), dhd) → new_asAs(new_esEs28(wzz500, wzz4000, dhd), new_esEs27(wzz501, wzz4001, dhd))
new_esEs26(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_esEs15(wzz53000, wzz54000, cff)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Integer, dbe) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Int, dbe) → new_esEs9(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_compare([], :(wzz54000, wzz54001), cc) → LT
new_esEs24(wzz500, wzz4000, app(ty_Maybe, cbd)) → new_esEs4(wzz500, wzz4000, cbd)
new_esEs4(Nothing, Just(wzz4000), dga) → False
new_esEs4(Just(wzz500), Nothing, dga) → False
new_ltEs9(Nothing, Just(wzz54000), bee) → True
new_ltEs19(wzz53002, wzz54002, ty_Float) → new_ltEs11(wzz53002, wzz54002)
new_esEs29(wzz23, wzz18, ty_Int) → new_esEs9(wzz23, wzz18)
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, app(ty_[], dac)) → new_esEs14(wzz50, wzz400, dac)
new_esEs31(wzz50, wzz400, app(app(app(ty_@3, dae), daf), dag)) → new_esEs5(wzz50, wzz400, dae, daf, dag)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, app(ty_[], ha)) → new_esEs14(wzz50, wzz400, ha)
new_ltEs21(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Ratio, dbg), dbe) → new_esEs15(wzz500, wzz4000, dbg)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Int, ccd) → new_ltEs12(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, app(ty_[], fg)) → new_esEs14(wzz500, wzz4000, fg)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_esEs14(:(wzz500, wzz501), :(wzz4000, wzz4001), ha) → new_asAs(new_esEs20(wzz500, wzz4000, ha), new_esEs14(wzz501, wzz4001, ha))
new_esEs13(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare(:(wzz53000, wzz53001), [], cc) → GT
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_@2, dea), deb)) → new_esEs7(wzz500, wzz4000, dea, deb)
new_esEs25(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_esEs6(wzz53001, wzz54001, cgd, cge)
new_esEs20(wzz500, wzz4000, app(ty_Maybe, hg)) → new_esEs4(wzz500, wzz4000, hg)
new_lt7(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_lt13(wzz53000, wzz54000, bbf)
new_lt20(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_lt12(wzz53001, wzz54001, cgd, cge)
new_lt20(wzz53001, wzz54001, app(ty_[], cfh)) → new_lt6(wzz53001, wzz54001, cfh)
new_ltEs15(wzz5300, wzz5400) → new_fsEs(new_compare17(wzz5300, wzz5400))
new_esEs23(wzz501, wzz4001, app(ty_Maybe, cab)) → new_esEs4(wzz501, wzz4001, cab)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Bool, dbe) → new_esEs11(wzz500, wzz4000)
new_lt20(wzz53001, wzz54001, ty_Double) → new_lt14(wzz53001, wzz54001)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Ratio, ddb)) → new_esEs15(wzz500, wzz4000, ddb)
new_lt7(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_ltEs19(wzz53002, wzz54002, ty_@0) → new_ltEs13(wzz53002, wzz54002)
new_lt19(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Integer) → new_compare19(new_sr0(wzz53000, wzz54001), new_sr0(wzz54000, wzz53001))
new_lt20(wzz53001, wzz54001, ty_Integer) → new_lt16(wzz53001, wzz54001)
new_esEs26(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Integer) → new_esEs17(wzz53001, wzz54001)
new_ltEs20(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_esEs21(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_esEs6(wzz53000, wzz54000, bbd, bbe)
new_esEs29(wzz23, wzz18, ty_Float) → new_esEs18(wzz23, wzz18)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, ccf), ccg), cch), ccd) → new_ltEs5(wzz53000, wzz54000, ccf, ccg, cch)
new_esEs26(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_esEs4(wzz53000, wzz54000, ca)
new_esEs32(wzz42, wzz37, ty_Integer) → new_esEs17(wzz42, wzz37)
new_ltEs8(wzz53001, wzz54001, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs5(wzz53001, wzz54001, bcc, bcd, bce)
new_compare15(wzz53000, wzz54000, app(app(ty_Either, bdh), bea)) → new_compare16(wzz53000, wzz54000, bdh, bea)
new_esEs22(wzz502, wzz4002, app(ty_[], bgc)) → new_esEs14(wzz502, wzz4002, bgc)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Double) → new_esEs10(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, app(ty_[], bcb)) → new_ltEs4(wzz53001, wzz54001, bcb)
new_esEs17(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, app(ty_[], cd)) → new_esEs14(wzz42, wzz37, cd)
new_lt17(wzz53000, wzz54000) → new_esEs8(new_compare9(wzz53000, wzz54000), LT)
new_pePe(False, wzz188) → wzz188
new_esEs14([], [], ha) → True
new_esEs25(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_esEs7(wzz53001, wzz54001, cgg, cgh)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Int) → new_esEs9(wzz500, wzz4000)
new_compare6(@0, @0) → EQ
new_esEs6(Left(wzz500), Left(wzz4000), ty_Char, dbe) → new_esEs19(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, app(ty_[], dhe)) → new_esEs14(wzz23, wzz18, dhe)
new_esEs13(wzz500, wzz4000, app(ty_Maybe, gd)) → new_esEs4(wzz500, wzz4000, gd)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_[], cdh)) → new_ltEs4(wzz53000, wzz54000, cdh)
new_esEs30(wzz50, wzz400, app(ty_Ratio, dhd)) → new_esEs15(wzz50, wzz400, dhd)
new_ltEs4(wzz5300, wzz5400, cc) → new_fsEs(new_compare(wzz5300, wzz5400, cc))
new_esEs31(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_lt20(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_lt10(wzz53001, wzz54001, cga, cgb, cgc)
new_compare11(wzz53000, wzz54000, False, dg, dh, ea) → GT
new_esEs22(wzz502, wzz4002, ty_Ordering) → new_esEs8(wzz502, wzz4002)
new_compare111(wzz53000, wzz54000, False) → GT
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare111(wzz53000, wzz54000, True) → LT
new_esEs26(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_lt4(wzz53000, wzz54000, ca) → new_esEs8(new_compare5(wzz53000, wzz54000, ca), LT)
new_esEs32(wzz42, wzz37, app(ty_Maybe, db)) → new_esEs4(wzz42, wzz37, db)
new_compare27(wzz53000, wzz54000, False, ca) → new_compare110(wzz53000, wzz54000, new_ltEs9(wzz53000, wzz54000, ca), ca)
new_primCmpNat0(Zero, Succ(wzz5400)) → LT
new_compare5(wzz53000, wzz54000, ca) → new_compare27(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, ca), ca)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Char) → new_esEs19(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, app(app(ty_@2, bae), baf)) → new_ltEs7(wzz5300, wzz5400, bae, baf)
new_esEs26(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Left(wzz4000), dch, dbe) → False
new_esEs6(Left(wzz500), Right(wzz4000), dch, dbe) → False
new_esEs8(LT, LT) → True
new_compare25(wzz53000, wzz54000, True, dg, dh, ea) → EQ
new_esEs30(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs32(wzz42, wzz37, ty_Int) → new_esEs9(wzz42, wzz37)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, app(ty_Ratio, dad)) → new_esEs15(wzz50, wzz400, dad)
new_esEs25(wzz53001, wzz54001, ty_Ordering) → new_esEs8(wzz53001, wzz54001)
new_esEs20(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, app(app(ty_@2, eae), eaf)) → new_esEs7(wzz23, wzz18, eae, eaf)
new_ltEs20(wzz5300, wzz5400, app(ty_Maybe, bee)) → new_ltEs9(wzz5300, wzz5400, bee)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_pePe(True, wzz188) → True
new_primEqNat0(Zero, Zero) → True
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, cac), cad)) → new_esEs6(wzz501, wzz4001, cac, cad)
new_compare29(wzz530, wzz540, True, dee, def) → EQ
new_lt7(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_@0) → new_esEs16(wzz500, wzz4000)
new_ltEs18(EQ, EQ) → True
new_esEs20(wzz500, wzz4000, app(ty_Ratio, hc)) → new_esEs15(wzz500, wzz4000, hc)
new_esEs12(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_ltEs19(wzz53002, wzz54002, app(ty_[], chb)) → new_ltEs4(wzz53002, wzz54002, chb)
new_esEs26(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs22(wzz502, wzz4002, app(app(ty_@2, bhc), bhd)) → new_esEs7(wzz502, wzz4002, bhc, bhd)
new_ltEs21(wzz5300, wzz5400, app(ty_Maybe, deg)) → new_ltEs9(wzz5300, wzz5400, deg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_Either, ddg), ddh)) → new_esEs6(wzz500, wzz4000, ddg, ddh)
new_esEs29(wzz23, wzz18, ty_Double) → new_esEs10(wzz23, wzz18)
new_compare15(wzz53000, wzz54000, ty_Float) → new_compare14(wzz53000, wzz54000)
new_compare16(wzz53000, wzz54000, cfd, cfe) → new_compare29(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, cfd, cfe), cfd, cfe)
new_esEs12(wzz501, wzz4001, app(app(ty_@2, fd), ff)) → new_esEs7(wzz501, wzz4001, fd, ff)
new_sr(wzz501, wzz4001) → new_primMulInt(wzz501, wzz4001)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Maybe, ccc), ccd) → new_ltEs9(wzz53000, wzz54000, ccc)
new_esEs32(wzz42, wzz37, app(app(ty_@2, de), df)) → new_esEs7(wzz42, wzz37, de, df)
new_esEs30(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_lt7(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_esEs24(wzz500, wzz4000, app(app(ty_@2, cbg), cbh)) → new_esEs7(wzz500, wzz4000, cbg, cbh)
new_esEs13(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs18(LT, LT) → True
new_esEs26(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_Char) → new_ltEs10(wzz53002, wzz54002)
new_esEs24(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_lt7(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_lt4(wzz53000, wzz54000, bag)
new_esEs8(GT, GT) → True
new_esEs12(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_primPlusNat0(Succ(wzz1340), wzz400100) → Succ(Succ(new_primPlusNat1(wzz1340, wzz400100)))
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Double, ccd) → new_ltEs15(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs8(GT, LT) → False
new_esEs8(LT, GT) → False
new_compare29(Left(wzz5300), Right(wzz5400), False, dee, def) → LT
new_ltEs19(wzz53002, wzz54002, app(ty_Maybe, cha)) → new_ltEs9(wzz53002, wzz54002, cha)
new_esEs29(wzz23, wzz18, ty_Bool) → new_esEs11(wzz23, wzz18)
new_ltEs21(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_lt7(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_ltEs18(GT, GT) → True
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_@2, ceg), ceh)) → new_ltEs7(wzz53000, wzz54000, ceg, ceh)
new_ltEs20(wzz5300, wzz5400, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs5(wzz5300, wzz5400, cfa, cfb, cfc)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Float, ccd) → new_ltEs11(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs20(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, app(app(ty_@2, bda), bdb)) → new_ltEs7(wzz53001, wzz54001, bda, bdb)
new_esEs25(wzz53001, wzz54001, ty_Bool) → new_esEs11(wzz53001, wzz54001)
new_compare113(wzz168, wzz169, True, dec, ded) → LT
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_esEs20(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_ltEs18(LT, GT) → True
new_primPlusNat1(Succ(wzz56200), Zero) → Succ(wzz56200)
new_primPlusNat1(Zero, Succ(wzz12500)) → Succ(wzz12500)
new_esEs30(wzz50, wzz400, app(ty_Maybe, dga)) → new_esEs4(wzz50, wzz400, dga)
new_esEs21(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_compare13(wzz53000, wzz54000, False) → GT
new_ltEs14(Right(wzz53000), Left(wzz54000), cdf, ccd) → False
new_ltEs8(wzz53001, wzz54001, app(app(ty_Either, bcf), bcg)) → new_ltEs14(wzz53001, wzz54001, bcf, bcg)
new_ltEs17(True, False) → False
new_ltEs16(wzz5300, wzz5400) → new_fsEs(new_compare19(wzz5300, wzz5400))
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_[], dbf), dbe) → new_esEs14(wzz500, wzz4000, dbf)
new_esEs14([], :(wzz4000, wzz4001), ha) → False
new_esEs14(:(wzz500, wzz501), [], ha) → False
new_ltEs18(GT, LT) → False
new_ltEs21(wzz5300, wzz5400, app(ty_Ratio, dff)) → new_ltEs6(wzz5300, wzz5400, dff)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_compare11(wzz53000, wzz54000, True, dg, dh, ea) → LT
new_esEs21(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_esEs7(wzz53000, wzz54000, bbg, bbh)
new_esEs32(wzz42, wzz37, app(app(app(ty_@3, cf), cg), da)) → new_esEs5(wzz42, wzz37, cf, cg, da)
new_lt16(wzz53000, wzz54000) → new_esEs8(new_compare19(wzz53000, wzz54000), LT)
new_esEs31(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Bool, ccd) → new_ltEs17(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_[], beg)) → new_ltEs4(wzz53000, wzz54000, beg)
new_esEs26(wzz53000, wzz54000, app(ty_[], cb)) → new_esEs14(wzz53000, wzz54000, cb)
new_compare15(wzz53000, wzz54000, ty_Int) → new_compare8(wzz53000, wzz54000)
new_compare112(wzz53000, wzz54000, False, cca, ccb) → GT
new_esEs25(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_esEs15(wzz53001, wzz54001, cgf)
new_ltEs5(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), cfa, cfb, cfc) → new_pePe(new_lt19(wzz53000, wzz54000, cfa), new_asAs(new_esEs26(wzz53000, wzz54000, cfa), new_pePe(new_lt20(wzz53001, wzz54001, cfb), new_asAs(new_esEs25(wzz53001, wzz54001, cfb), new_ltEs19(wzz53002, wzz54002, cfc)))))
new_compare8(wzz53, wzz54) → new_primCmpInt(wzz53, wzz54)
new_ltEs20(wzz5300, wzz5400, app(ty_[], cc)) → new_ltEs4(wzz5300, wzz5400, cc)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_esEs8(EQ, EQ) → True
new_ltEs21(wzz5300, wzz5400, app(app(ty_Either, dfd), dfe)) → new_ltEs14(wzz5300, wzz5400, dfd, dfe)
new_lt13(wzz53000, wzz54000, cff) → new_esEs8(new_compare12(wzz53000, wzz54000, cff), LT)
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_compare7(Char(wzz53000), Char(wzz54000)) → new_primCmpNat0(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_esEs22(wzz502, wzz4002, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs5(wzz502, wzz4002, bge, bgf, bgg)
new_compare([], [], cc) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs20(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_primCmpNat0(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat0(wzz5300, wzz5400)
new_esEs22(wzz502, wzz4002, app(ty_Maybe, bgh)) → new_esEs4(wzz502, wzz4002, bgh)
new_esEs25(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_esEs4(wzz53001, wzz54001, cfg)
new_esEs26(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs11(False, False) → True
new_esEs12(wzz501, wzz4001, app(app(app(ty_@3, ef), eg), eh)) → new_esEs5(wzz501, wzz4001, ef, eg, eh)
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_compare15(wzz53000, wzz54000, app(ty_[], bdd)) → new_compare(wzz53000, wzz54000, bdd)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_Either, dgh), dha)) → new_esEs6(wzz500, wzz4000, dgh, dha)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, dbh), dca), dcb), dbe) → new_esEs5(wzz500, wzz4000, dbh, dca, dcb)
new_ltEs21(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_esEs25(wzz53001, wzz54001, ty_Int) → new_esEs9(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Int) → new_ltEs12(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Ordering) → new_ltEs18(wzz53001, wzz54001)
new_esEs32(wzz42, wzz37, ty_Double) → new_esEs10(wzz42, wzz37)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Maybe, ddf)) → new_esEs4(wzz500, wzz4000, ddf)
new_esEs6(Left(wzz500), Left(wzz4000), ty_@0, dbe) → new_esEs16(wzz500, wzz4000)
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_esEs24(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs27(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs31(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_lt5(wzz53000, wzz54000) → new_esEs8(new_compare7(wzz53000, wzz54000), LT)
new_esEs21(wzz53000, wzz54000, app(ty_[], bah)) → new_esEs14(wzz53000, wzz54000, bah)
new_esEs13(wzz500, wzz4000, app(app(app(ty_@3, ga), gb), gc)) → new_esEs5(wzz500, wzz4000, ga, gb, gc)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, dgd), dge), dgf)) → new_esEs5(wzz500, wzz4000, dgd, dge, dgf)
new_lt11(wzz53000, wzz54000) → new_esEs8(new_compare6(wzz53000, wzz54000), LT)
new_compare113(wzz168, wzz169, False, dec, ded) → GT
new_compare26(wzz53000, wzz54000) → new_compare210(wzz53000, wzz54000, new_esEs8(wzz53000, wzz54000))
new_esEs22(wzz502, wzz4002, ty_Double) → new_esEs10(wzz502, wzz4002)
new_lt14(wzz53000, wzz54000) → new_esEs8(new_compare17(wzz53000, wzz54000), LT)
new_primCompAux00(wzz202, LT) → LT
new_primCmpInt(Neg(Succ(wzz5300)), Neg(wzz540)) → new_primCmpNat0(wzz540, Succ(wzz5300))
new_compare114(wzz161, wzz162, True, eag, eah) → LT
new_esEs24(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_primCompAux0(wzz53000, wzz54000, wzz189, cc) → new_primCompAux00(wzz189, new_compare15(wzz53000, wzz54000, cc))
new_esEs8(LT, EQ) → False
new_esEs8(EQ, LT) → False
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_lt10(wzz53000, wzz54000, dg, dh, ea) → new_esEs8(new_compare10(wzz53000, wzz54000, dg, dh, ea), LT)
new_esEs31(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(wzz5300), Zero) → GT
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Maybe, bef)) → new_ltEs9(wzz53000, wzz54000, bef)
new_compare15(wzz53000, wzz54000, ty_@0) → new_compare6(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_[], cce), ccd) → new_ltEs4(wzz53000, wzz54000, cce)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz5400))) → LT
new_compare13(wzz53000, wzz54000, True) → LT
new_sr0(Integer(wzz530000), Integer(wzz540010)) → Integer(new_primMulInt(wzz530000, wzz540010))
new_primPlusNat1(Succ(wzz56200), Succ(wzz12500)) → Succ(Succ(new_primPlusNat1(wzz56200, wzz12500)))
new_lt7(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, app(ty_Ratio, ee)) → new_esEs15(wzz501, wzz4001, ee)
new_compare28(wzz53000, wzz54000, True, cca, ccb) → EQ
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_esEs29(wzz23, wzz18, ty_Char) → new_esEs19(wzz23, wzz18)
new_esEs20(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_@0) → new_esEs16(wzz42, wzz37)
new_compare(:(wzz53000, wzz53001), :(wzz54000, wzz54001), cc) → new_primCompAux0(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, cc), cc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_compare210(wzz53000, wzz54000, False) → new_compare13(wzz53000, wzz54000, new_ltEs18(wzz53000, wzz54000))
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_@2, cdd), cde), ccd) → new_ltEs7(wzz53000, wzz54000, cdd, cde)
new_compare10(wzz53000, wzz54000, dg, dh, ea) → new_compare25(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs18(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Maybe, dcc), dbe) → new_esEs4(wzz500, wzz4000, dcc)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs5(wzz53000, wzz54000, beh, bfa, bfb)
new_esEs26(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_ltEs9(Just(wzz53000), Nothing, bee) → False
new_esEs30(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_primCmpInt(Pos(Zero), Pos(Succ(wzz5400))) → new_primCmpNat0(Zero, Succ(wzz5400))
new_primCompAux00(wzz202, EQ) → wzz202
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bff), bfg)) → new_ltEs7(wzz53000, wzz54000, bff, bfg)
new_compare24(wzz53000, wzz54000, True) → EQ
new_compare29(Right(wzz5300), Right(wzz5400), False, dee, def) → new_compare113(wzz5300, wzz5400, new_ltEs21(wzz5300, wzz5400, def), dee, def)
new_lt19(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs22(wzz502, wzz4002, ty_@0) → new_esEs16(wzz502, wzz4002)
new_ltEs8(wzz53001, wzz54001, ty_@0) → new_ltEs13(wzz53001, wzz54001)
new_compare15(wzz53000, wzz54000, app(app(ty_@2, bec), bed)) → new_compare18(wzz53000, wzz54000, bec, bed)
new_esEs8(GT, EQ) → False
new_esEs8(EQ, GT) → False
new_esEs20(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, ty_Char) → new_ltEs10(wzz53001, wzz54001)
new_esEs22(wzz502, wzz4002, ty_Float) → new_esEs18(wzz502, wzz4002)
new_lt7(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_lt12(wzz53000, wzz54000, bbd, bbe)
new_ltEs18(GT, EQ) → False
new_esEs21(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, app(app(ty_Either, dch), dbe)) → new_esEs6(wzz50, wzz400, dch, dbe)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_@2, dcf), dcg), dbe) → new_esEs7(wzz500, wzz4000, dcf, dcg)
new_lt7(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_not(False) → True
new_compare114(wzz161, wzz162, False, eag, eah) → GT
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_Either, dcd), dce), dbe) → new_esEs6(wzz500, wzz4000, dcd, dce)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Ratio, dgc)) → new_esEs15(wzz500, wzz4000, dgc)
new_primCmpInt(Pos(Succ(wzz5300)), Pos(wzz540)) → new_primCmpNat0(Succ(wzz5300), wzz540)
new_compare110(wzz53000, wzz54000, True, ca) → LT
new_primPlusNat0(Zero, wzz400100) → Succ(wzz400100)
new_esEs30(wzz50, wzz400, app(app(ty_@2, eb), ec)) → new_esEs7(wzz50, wzz400, eb, ec)
new_compare15(wzz53000, wzz54000, ty_Char) → new_compare7(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Nothing, Nothing, bee) → True
new_esEs24(wzz500, wzz4000, app(app(ty_Either, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Ratio, cef)) → new_ltEs6(wzz53000, wzz54000, cef)
new_esEs32(wzz42, wzz37, ty_Ordering) → new_esEs8(wzz42, wzz37)
new_esEs24(wzz500, wzz4000, app(ty_[], cag)) → new_esEs14(wzz500, wzz4000, cag)
new_esEs25(wzz53001, wzz54001, ty_Float) → new_esEs18(wzz53001, wzz54001)
new_ltEs18(EQ, LT) → False
new_lt19(wzz53000, wzz54000, app(ty_[], cb)) → new_lt6(wzz53000, wzz54000, cb)
new_ltEs18(LT, EQ) → True
new_lt20(wzz53001, wzz54001, ty_Ordering) → new_lt18(wzz53001, wzz54001)
new_esEs21(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_esEs15(wzz53000, wzz54000, bbf)
new_esEs29(wzz23, wzz18, app(ty_Ratio, dhf)) → new_esEs15(wzz23, wzz18, dhf)
new_esEs32(wzz42, wzz37, ty_Float) → new_esEs18(wzz42, wzz37)
new_esEs22(wzz502, wzz4002, ty_Bool) → new_esEs11(wzz502, wzz4002)
new_esEs20(wzz500, wzz4000, app(app(app(ty_@3, hd), he), hf)) → new_esEs5(wzz500, wzz4000, hd, he, hf)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_primCmpInt(Pos(Succ(wzz5300)), Neg(wzz540)) → GT
new_esEs13(wzz500, wzz4000, app(app(ty_Either, ge), gf)) → new_esEs6(wzz500, wzz4000, ge, gf)
new_lt8(wzz53000, wzz54000) → new_esEs8(new_compare14(wzz53000, wzz54000), LT)
new_esEs24(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs21(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs5(wzz53000, wzz54000, bba, bbb, bbc)
new_lt6(wzz53000, wzz54000, cb) → new_esEs8(new_compare(wzz53000, wzz54000, cb), LT)
new_esEs29(wzz23, wzz18, ty_@0) → new_esEs16(wzz23, wzz18)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_primMulInt(Pos(wzz5010), Pos(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_compare19(Integer(wzz53000), Integer(wzz54000)) → new_primCmpInt(wzz53000, wzz54000)
new_ltEs12(wzz5300, wzz5400) → new_fsEs(new_compare8(wzz5300, wzz5400))
new_esEs12(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs18(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_primMulInt(Neg(wzz5010), Neg(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_ltEs19(wzz53002, wzz54002, app(ty_Ratio, chh)) → new_ltEs6(wzz53002, wzz54002, chh)
new_lt15(wzz53000, wzz54000, cca, ccb) → new_esEs8(new_compare18(wzz53000, wzz54000, cca, ccb), LT)
new_ltEs8(wzz53001, wzz54001, app(ty_Maybe, bca)) → new_ltEs9(wzz53001, wzz54001, bca)
new_lt9(wzz530, wzz540) → new_esEs8(new_compare8(wzz530, wzz540), LT)
new_primEqNat0(Succ(wzz5000), Zero) → False
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_esEs21(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_Int) → new_ltEs12(wzz53002, wzz54002)
new_esEs26(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_esEs7(wzz53000, wzz54000, cca, ccb)
new_esEs24(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, dga) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_Either, bfc), bfd)) → new_ltEs14(wzz53000, wzz54000, bfc, bfd)
new_esEs22(wzz502, wzz4002, app(ty_Ratio, bgd)) → new_esEs15(wzz502, wzz4002, bgd)
new_ltEs21(wzz5300, wzz5400, app(app(ty_@2, dfg), dfh)) → new_ltEs7(wzz5300, wzz5400, dfg, dfh)
new_esEs13(wzz500, wzz4000, app(app(ty_@2, gg), gh)) → new_esEs7(wzz500, wzz4000, gg, gh)
new_esEs20(wzz500, wzz4000, app(app(ty_Either, hh), baa)) → new_esEs6(wzz500, wzz4000, hh, baa)
new_esEs22(wzz502, wzz4002, ty_Int) → new_esEs9(wzz502, wzz4002)
new_compare210(wzz53000, wzz54000, True) → EQ
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs29(wzz23, wzz18, app(app(ty_Either, eac), ead)) → new_esEs6(wzz23, wzz18, eac, ead)
new_ltEs21(wzz5300, wzz5400, app(app(app(ty_@3, dfa), dfb), dfc)) → new_ltEs5(wzz5300, wzz5400, dfa, dfb, dfc)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_@0, ccd) → new_ltEs13(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, app(ty_[], bhe)) → new_esEs14(wzz501, wzz4001, bhe)
new_esEs29(wzz23, wzz18, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs5(wzz23, wzz18, dhg, dhh, eaa)
new_compare9(wzz53000, wzz54000) → new_compare24(wzz53000, wzz54000, new_esEs11(wzz53000, wzz54000))
new_esEs12(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs24(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, ty_Float) → new_ltEs11(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Ratio, bch)) → new_ltEs6(wzz53001, wzz54001, bch)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz5400))) → new_primCmpNat0(Succ(wzz5400), Zero)
new_lt20(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_lt15(wzz53001, wzz54001, cgg, cgh)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz5400))) → GT
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_[], dda)) → new_esEs14(wzz500, wzz4000, dda)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Ordering, dbe) → new_esEs8(wzz500, wzz4000)
new_compare110(wzz53000, wzz54000, False, ca) → GT
new_lt12(wzz53000, wzz54000, cfd, cfe) → new_esEs8(new_compare16(wzz53000, wzz54000, cfd, cfe), LT)
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_ltEs20(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs19(wzz53002, wzz54002, ty_Bool) → new_ltEs17(wzz53002, wzz54002)
new_ltEs7(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bae, baf) → new_pePe(new_lt7(wzz53000, wzz54000, bae), new_asAs(new_esEs21(wzz53000, wzz54000, bae), new_ltEs8(wzz53001, wzz54001, baf)))
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_[], dgb)) → new_esEs14(wzz500, wzz4000, dgb)
new_esEs27(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_lt18(wzz53000, wzz54000) → new_esEs8(new_compare26(wzz53000, wzz54000), LT)
new_compare25(wzz53000, wzz54000, False, dg, dh, ea) → new_compare11(wzz53000, wzz54000, new_ltEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs21(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Double) → new_esEs10(wzz53001, wzz54001)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(app(ty_@3, cea), ceb), cec)) → new_ltEs5(wzz53000, wzz54000, cea, ceb, cec)
new_esEs13(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs21(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_esEs4(wzz53000, wzz54000, bag)
new_esEs19(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_esEs22(wzz502, wzz4002, ty_Char) → new_esEs19(wzz502, wzz4002)
new_compare29(Right(wzz5300), Left(wzz5400), False, dee, def) → GT
new_esEs10(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_lt19(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_lt13(wzz53000, wzz54000, cff)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bhf)) → new_esEs15(wzz501, wzz4001, bhf)
new_esEs21(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_compare29(Left(wzz5300), Left(wzz5400), False, dee, def) → new_compare114(wzz5300, wzz5400, new_ltEs20(wzz5300, wzz5400, dee), dee, def)
new_ltEs14(Left(wzz53000), Right(wzz54000), cdf, ccd) → True
new_esEs12(wzz501, wzz4001, app(app(ty_Either, fb), fc)) → new_esEs6(wzz501, wzz4001, fb, fc)
new_compare15(wzz53000, wzz54000, app(ty_Ratio, beb)) → new_compare12(wzz53000, wzz54000, beb)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_Bool) → new_esEs11(wzz42, wzz37)
new_esEs12(wzz501, wzz4001, app(ty_Maybe, fa)) → new_esEs4(wzz501, wzz4001, fa)
new_ltEs19(wzz53002, wzz54002, app(app(ty_@2, daa), dab)) → new_ltEs7(wzz53002, wzz54002, daa, dab)
new_asAs(False, wzz156) → False
new_ltEs20(wzz5300, wzz5400, app(app(ty_Either, cdf), ccd)) → new_ltEs14(wzz5300, wzz5400, cdf, ccd)
new_ltEs19(wzz53002, wzz54002, app(app(ty_Either, chf), chg)) → new_ltEs14(wzz53002, wzz54002, chf, chg)
new_primMulInt(Pos(wzz5010), Neg(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Pos(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulNat0(Succ(wzz50100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz400100)) → Zero
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Ratio, cdc), ccd) → new_ltEs6(wzz53000, wzz54000, cdc)
new_esEs25(wzz53001, wzz54001, ty_@0) → new_esEs16(wzz53001, wzz54001)
new_lt19(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_lt15(wzz53000, wzz54000, cca, ccb)
new_esEs13(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cae), caf)) → new_esEs7(wzz501, wzz4001, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_ltEs6(wzz5300, wzz5400, bad) → new_fsEs(new_compare12(wzz5300, wzz5400, bad))
new_lt19(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_ltEs21(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_lt20(wzz53001, wzz54001, ty_Float) → new_lt8(wzz53001, wzz54001)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Double, dbe) → new_esEs10(wzz500, wzz4000)
new_compare24(wzz53000, wzz54000, False) → new_compare111(wzz53000, wzz54000, new_ltEs17(wzz53000, wzz54000))
new_esEs24(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_lt19(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_lt12(wzz53000, wzz54000, cfd, cfe)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_Either, ced), cee)) → new_ltEs14(wzz53000, wzz54000, ced, cee)
new_esEs11(True, True) → True
new_ltEs17(True, True) → True
new_lt19(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_lt10(wzz53000, wzz54000, dg, dh, ea)
new_lt7(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_esEs16(@0, @0) → True
new_esEs26(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_compare17(Double(wzz53000, wzz53001), Double(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Integer) → new_compare19(wzz53000, wzz54000)
new_esEs5(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bfh, bga, bgb) → new_asAs(new_esEs24(wzz500, wzz4000, bfh), new_asAs(new_esEs23(wzz501, wzz4001, bga), new_esEs22(wzz502, wzz4002, bgb)))
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, app(app(ty_Either, dba), dbb)) → new_esEs6(wzz50, wzz400, dba, dbb)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_Either, cda), cdb), ccd) → new_ltEs14(wzz53000, wzz54000, cda, cdb)
new_ltEs19(wzz53002, wzz54002, app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(wzz53002, wzz54002, chc, chd, che)
new_ltEs8(wzz53001, wzz54001, ty_Double) → new_ltEs15(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Char) → new_lt5(wzz53001, wzz54001)
new_lt19(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Int) → new_compare8(new_sr(wzz53000, wzz54001), new_sr(wzz54000, wzz53001))
new_ltEs21(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs19(wzz500, wzz4000)
new_lt7(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt10(wzz53000, wzz54000, bba, bbb, bbc)
new_lt19(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_lt4(wzz53000, wzz54000, ca)
new_ltEs20(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_esEs32(wzz42, wzz37, app(ty_Ratio, ce)) → new_esEs15(wzz42, wzz37, ce)
new_esEs32(wzz42, wzz37, app(app(ty_Either, dc), dd)) → new_esEs6(wzz42, wzz37, dc, dd)
new_ltEs17(False, True) → True
new_esEs31(wzz50, wzz400, app(ty_Maybe, dah)) → new_esEs4(wzz50, wzz400, dah)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Ratio, bfe)) → new_ltEs6(wzz53000, wzz54000, bfe)
new_esEs25(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs5(wzz53001, wzz54001, cga, cgb, cgc)
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_ltEs20(wzz5300, wzz5400, app(ty_Ratio, bad)) → new_ltEs6(wzz5300, wzz5400, bad)
new_esEs22(wzz502, wzz4002, app(app(ty_Either, bha), bhb)) → new_esEs6(wzz502, wzz4002, bha, bhb)
new_ltEs21(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_esEs22(wzz502, wzz4002, ty_Integer) → new_esEs17(wzz502, wzz4002)
new_compare15(wzz53000, wzz54000, app(ty_Maybe, bdc)) → new_compare5(wzz53000, wzz54000, bdc)
new_esEs28(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_@2, dhb), dhc)) → new_esEs7(wzz500, wzz4000, dhb, dhc)
new_ltEs11(wzz5300, wzz5400) → new_fsEs(new_compare14(wzz5300, wzz5400))
new_esEs13(wzz500, wzz4000, app(ty_Ratio, fh)) → new_esEs15(wzz500, wzz4000, fh)
new_ltEs10(wzz5300, wzz5400) → new_fsEs(new_compare7(wzz5300, wzz5400))
new_compare27(wzz53000, wzz54000, True, ca) → EQ
new_ltEs19(wzz53002, wzz54002, ty_Double) → new_ltEs15(wzz53002, wzz54002)
new_esEs30(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_compare14(Float(wzz53000, wzz53001), Float(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs21(wzz5300, wzz5400, app(ty_[], deh)) → new_ltEs4(wzz5300, wzz5400, deh)
new_esEs20(wzz500, wzz4000, app(app(ty_@2, bab), bac)) → new_esEs7(wzz500, wzz4000, bab, bac)
new_lt19(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_esEs6(wzz53000, wzz54000, cfd, cfe)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs12(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs13(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_compare15(wzz53000, wzz54000, ty_Bool) → new_compare9(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, app(ty_[], ed)) → new_esEs14(wzz501, wzz4001, ed)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Char, ccd) → new_ltEs10(wzz53000, wzz54000)
new_asAs(True, wzz156) → wzz156
new_compare15(wzz53000, wzz54000, ty_Ordering) → new_compare26(wzz53000, wzz54000)
new_compare112(wzz53000, wzz54000, True, cca, ccb) → LT
new_esEs26(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_esEs5(wzz53000, wzz54000, dg, dh, ea)
new_esEs30(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_primMulNat0(Succ(wzz50100), Succ(wzz400100)) → new_primPlusNat0(new_primMulNat0(wzz50100, Succ(wzz400100)), wzz400100)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Float, dbe) → new_esEs18(wzz500, wzz4000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Ordering, ccd) → new_ltEs18(wzz53000, wzz54000)
new_esEs7(@2(wzz500, wzz501), @2(wzz4000, wzz4001), eb, ec) → new_asAs(new_esEs13(wzz500, wzz4000, eb), new_esEs12(wzz501, wzz4001, ec))
new_esEs13(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_ltEs19(wzz53002, wzz54002, ty_Ordering) → new_ltEs18(wzz53002, wzz54002)
new_lt20(wzz53001, wzz54001, ty_Bool) → new_lt17(wzz53001, wzz54001)
new_fsEs(wzz171) → new_not(new_esEs8(wzz171, GT))
new_lt20(wzz53001, wzz54001, ty_@0) → new_lt11(wzz53001, wzz54001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(wzz501, wzz4001, bhg, bhh, caa)
new_lt20(wzz53001, wzz54001, ty_Int) → new_lt9(wzz53001, wzz54001)
new_esEs20(wzz500, wzz4000, app(ty_[], hb)) → new_esEs14(wzz500, wzz4000, hb)
new_ltEs8(wzz53001, wzz54001, ty_Integer) → new_ltEs16(wzz53001, wzz54001)
new_esEs9(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(app(app(ty_@3, bfh), bga), bgb)) → new_esEs5(wzz50, wzz400, bfh, bga, bgb)
new_lt19(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs29(wzz23, wzz18, app(ty_Maybe, eab)) → new_esEs4(wzz23, wzz18, eab)
new_ltEs20(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_lt7(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_Char) → new_esEs19(wzz42, wzz37)
new_esEs12(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_lt20(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_lt13(wzz53001, wzz54001, cgf)
new_ltEs20(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_esEs20(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_compare28(wzz53000, wzz54000, False, cca, ccb) → new_compare112(wzz53000, wzz54000, new_ltEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_primCompAux00(wzz202, GT) → GT
new_esEs24(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_compare15(wzz53000, wzz54000, ty_Double) → new_compare17(wzz53000, wzz54000)
new_lt20(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_lt4(wzz53001, wzz54001, cfg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(wzz500, wzz4000, ddc, ddd, dde)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Maybe, cdg)) → new_ltEs9(wzz53000, wzz54000, cdg)
new_esEs29(wzz23, wzz18, ty_Ordering) → new_esEs8(wzz23, wzz18)
new_esEs30(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_compare15(wzz53000, wzz54000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare10(wzz53000, wzz54000, bde, bdf, bdg)
new_esEs21(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs31(wzz50, wzz400, app(app(ty_@2, dbc), dbd)) → new_esEs7(wzz50, wzz400, dbc, dbd)
new_primCmpInt(Neg(Succ(wzz5300)), Pos(wzz540)) → LT
new_not(True) → False
new_lt7(wzz53000, wzz54000, app(ty_[], bah)) → new_lt6(wzz53000, wzz54000, bah)

The set Q consists of the following terms:

new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare15(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_primEqNat0(Succ(x0), Zero)
new_ltEs8(x0, x1, ty_Double)
new_compare(:(x0, x1), [], x2)
new_ltEs9(Just(x0), Just(x1), app(ty_[], x2))
new_compare([], :(x0, x1), x2)
new_esEs11(True, True)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Float)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Float)
new_esEs12(x0, x1, ty_Int)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_primEqNat0(Zero, Succ(x0))
new_lt7(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, ty_Bool)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_esEs18(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Float)
new_compare15(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Int)
new_compare110(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, ty_Double)
new_esEs8(GT, GT)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_compare25(x0, x1, False, x2, x3, x4)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Nothing, x1)
new_esEs29(x0, x1, ty_Float)
new_lt19(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs8(LT, LT)
new_ltEs9(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_compare25(x0, x1, True, x2, x3, x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs16(@0, @0)
new_compare114(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs31(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Char)
new_compare15(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Double)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Double)
new_lt7(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_compare9(x0, x1)
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare24(x0, x1, False)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs13(x0, x1, ty_Int)
new_ltEs17(False, False)
new_ltEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_@0)
new_ltEs8(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Float)
new_ltEs18(GT, LT)
new_ltEs18(LT, GT)
new_compare210(x0, x1, False)
new_esEs27(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_@0)
new_ltEs8(x0, x1, ty_Integer)
new_lt13(x0, x1, x2)
new_ltEs10(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Bool)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Bool)
new_compare11(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare16(x0, x1, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(x0, x1)
new_ltEs9(Just(x0), Just(x1), ty_Char)
new_esEs23(x0, x1, ty_Double)
new_asAs(False, x0)
new_ltEs16(x0, x1)
new_primMulNat0(Zero, Zero)
new_compare29(Left(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Bool)
new_ltEs18(EQ, LT)
new_ltEs18(LT, EQ)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Integer)
new_compare([], [], x0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs8(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs29(x0, x1, ty_Char)
new_lt19(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Ordering)
new_lt14(x0, x1)
new_compare10(x0, x1, x2, x3, x4)
new_ltEs17(True, True)
new_esEs21(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs25(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_compare29(Right(x0), Left(x1), False, x2, x3)
new_compare29(Left(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_compare17(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, ty_Ordering)
new_ltEs8(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs31(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt15(x0, x1, x2, x3)
new_lt19(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Int)
new_ltEs9(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare28(x0, x1, False, x2, x3)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare8(x0, x1)
new_esEs11(False, False)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs13(x0, x1, app(ty_[], x2))
new_compare27(x0, x1, True, x2)
new_esEs23(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_lt17(x0, x1)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1)
new_esEs24(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_Int)
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_esEs21(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_esEs13(x0, x1, ty_Ordering)
new_pePe(False, x0)
new_lt19(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs14([], :(x0, x1), x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare15(x0, x1, app(ty_[], x2))
new_primPlusNat1(Zero, Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs31(x0, x1, ty_Int)
new_pePe(True, x0)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3, x4)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, x2)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Char)
new_ltEs9(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, ty_Ordering)
new_compare112(x0, x1, True, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_lt7(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs26(x0, x1, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, ty_Integer)
new_primCompAux00(x0, GT)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs9(Nothing, Just(x0), x1)
new_lt19(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_sr0(Integer(x0), Integer(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt10(x0, x1, x2, x3, x4)
new_compare27(x0, x1, False, x2)
new_compare29(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs9(Just(x0), Just(x1), ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs9(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs15(:%(x0, x1), :%(x2, x3), x4)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs12(x0, x1, app(ty_[], x2))
new_compare15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs29(x0, x1, ty_@0)
new_esEs12(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_fsEs(x0)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_lt7(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, x2, x3)
new_ltEs9(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs9(Just(x0), Just(x1), ty_@0)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs20(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt5(x0, x1)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs8(EQ, EQ)
new_esEs12(x0, x1, ty_@0)
new_ltEs12(x0, x1)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs9(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs14([], [], x0)
new_esEs28(x0, x1, ty_Integer)
new_primPlusNat0(Succ(x0), x1)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_sr(x0, x1)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs11(x0, x1)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, False, x2, x3)
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, ty_Double)
new_ltEs18(LT, LT)
new_ltEs20(x0, x1, ty_Int)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs24(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Just(x0), x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs20(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs8(x0, x1, ty_Char)
new_compare18(x0, x1, x2, x3)
new_compare210(x0, x1, True)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_compare13(x0, x1, False)
new_compare6(@0, @0)
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_compare29(Right(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, ty_Integer)
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_ltEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_primMulNat0(Succ(x0), Succ(x1))
new_compare113(x0, x1, True, x2, x3)
new_ltEs18(EQ, GT)
new_ltEs18(GT, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Zero, Zero)
new_ltEs8(x0, x1, ty_Bool)
new_esEs14(:(x0, x1), [], x2)
new_esEs21(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_compare15(x0, x1, ty_Float)
new_ltEs8(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs9(Nothing, Nothing, x0)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_ltEs9(Just(x0), Just(x1), ty_Double)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_ltEs9(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_compare28(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare114(x0, x1, True, x2, x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False)
new_ltEs8(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_asAs(True, x0)
new_lt4(x0, x1, x2)
new_esEs28(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare112(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs4(Nothing, Nothing, x0)
new_compare15(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_@0)
new_ltEs9(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs13(x0, x1, ty_@0)
new_esEs20(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs18(EQ, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare15(x0, x1, ty_Char)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_not(True)
new_esEs24(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_compare110(x0, x1, True, x2)
new_esEs26(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare24(x0, x1, True)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt7(x0, x1, ty_Bool)
new_not(False)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Integer)
new_esEs19(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Int)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_lt18(x0, x1)
new_ltEs17(False, True)
new_ltEs17(True, False)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare26(x0, x1)
new_compare15(x0, x1, ty_Double)
new_compare19(Integer(x0), Integer(x1))
new_esEs25(x0, x1, ty_Int)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Ordering)
new_lt9(x0, x1)
new_compare15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_Integer)
new_compare5(x0, x1, x2)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_primCompAux0(x0, x1, x2, x3)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Bool)
new_ltEs18(GT, GT)
new_esEs32(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Ordering)
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs10(Double(x0, x1), Double(x2, x3))
new_primPlusNat0(Zero, x0)
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Float)
new_esEs17(Integer(x0), Integer(x1))
new_lt7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, EQ)
new_esEs25(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Float)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs13(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs26(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Bool)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_lt7(x0, x1, ty_Char)
new_compare(:(x0, x1), :(x2, x3), x4)
new_esEs21(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_lt20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Bool)
new_compare14(Float(x0, x1), Float(x2, x3))
new_lt8(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs9(Just(x0), Just(x1), ty_Float)
new_esEs32(x0, x1, ty_Float)
new_compare15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(Char(x0), Char(x1))
new_ltEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Bool)
new_lt7(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))

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

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

new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, bc, bd, be) → new_addToFM_C11(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Left(wzz400), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(wzz3, Branch(Left(wzz400), wzz41, wzz42, wzz43, wzz44), Right(wzz50), wzz6, bc, bd, be) → new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Left(wzz400), False, bc, bd), LT), bc, bd, be)
new_addToFM_C22(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, False, bf, bg, bh) → new_addToFM_C12(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, new_esEs8(new_compare29(Right(wzz42), Right(wzz37), new_esEs32(wzz42, wzz37, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C11(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz44, Right(wzz50), wzz6, bc, bd, be)
new_addToFM_C12(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, True, bf, bg, bh) → new_addToFM_C(wzz36, wzz41, Right(wzz42), wzz43, bf, bg, bh)
new_addToFM_C22(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, True, bf, bg, bh) → new_addToFM_C(wzz36, wzz40, Right(wzz42), wzz43, bf, bg, bh)
new_addToFM_C(wzz3, Branch(Right(wzz400), wzz41, wzz42, wzz43, wzz44), Right(wzz50), wzz6, bc, bd, be) → new_addToFM_C22(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Right(wzz400), new_esEs31(wzz50, wzz400, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz43, Right(wzz50), wzz6, bc, bd, be)

The TRS R consists of the following rules:

new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz53001, wzz54001, app(ty_[], cfh)) → new_esEs14(wzz53001, wzz54001, cfh)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Maybe, dgg)) → new_esEs4(wzz500, wzz4000, dgg)
new_esEs28(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, ty_Integer) → new_esEs17(wzz23, wzz18)
new_esEs25(wzz53001, wzz54001, ty_Char) → new_esEs19(wzz53001, wzz54001)
new_ltEs13(wzz5300, wzz5400) → new_fsEs(new_compare6(wzz5300, wzz5400))
new_ltEs8(wzz53001, wzz54001, ty_Bool) → new_ltEs17(wzz53001, wzz54001)
new_lt7(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_lt15(wzz53000, wzz54000, bbg, bbh)
new_ltEs19(wzz53002, wzz54002, ty_Integer) → new_ltEs16(wzz53002, wzz54002)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Integer, ccd) → new_ltEs16(wzz53000, wzz54000)
new_compare18(wzz53000, wzz54000, cca, ccb) → new_compare28(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs17(False, False) → True
new_esEs24(wzz500, wzz4000, app(ty_Ratio, cah)) → new_esEs15(wzz500, wzz4000, cah)
new_ltEs18(EQ, GT) → True
new_esEs24(wzz500, wzz4000, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs5(wzz500, wzz4000, cba, cbb, cbc)
new_esEs15(:%(wzz500, wzz501), :%(wzz4000, wzz4001), dhd) → new_asAs(new_esEs28(wzz500, wzz4000, dhd), new_esEs27(wzz501, wzz4001, dhd))
new_esEs26(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_esEs15(wzz53000, wzz54000, cff)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Integer, dbe) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Int, dbe) → new_esEs9(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_compare([], :(wzz54000, wzz54001), cc) → LT
new_esEs24(wzz500, wzz4000, app(ty_Maybe, cbd)) → new_esEs4(wzz500, wzz4000, cbd)
new_esEs4(Nothing, Just(wzz4000), dga) → False
new_esEs4(Just(wzz500), Nothing, dga) → False
new_ltEs9(Nothing, Just(wzz54000), bee) → True
new_ltEs19(wzz53002, wzz54002, ty_Float) → new_ltEs11(wzz53002, wzz54002)
new_esEs29(wzz23, wzz18, ty_Int) → new_esEs9(wzz23, wzz18)
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, app(ty_[], dac)) → new_esEs14(wzz50, wzz400, dac)
new_esEs31(wzz50, wzz400, app(app(app(ty_@3, dae), daf), dag)) → new_esEs5(wzz50, wzz400, dae, daf, dag)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, app(ty_[], ha)) → new_esEs14(wzz50, wzz400, ha)
new_ltEs21(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Ratio, dbg), dbe) → new_esEs15(wzz500, wzz4000, dbg)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Int, ccd) → new_ltEs12(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, app(ty_[], fg)) → new_esEs14(wzz500, wzz4000, fg)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_esEs14(:(wzz500, wzz501), :(wzz4000, wzz4001), ha) → new_asAs(new_esEs20(wzz500, wzz4000, ha), new_esEs14(wzz501, wzz4001, ha))
new_esEs13(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare(:(wzz53000, wzz53001), [], cc) → GT
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_@2, dea), deb)) → new_esEs7(wzz500, wzz4000, dea, deb)
new_esEs25(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_esEs6(wzz53001, wzz54001, cgd, cge)
new_esEs20(wzz500, wzz4000, app(ty_Maybe, hg)) → new_esEs4(wzz500, wzz4000, hg)
new_lt7(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_lt13(wzz53000, wzz54000, bbf)
new_lt20(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_lt12(wzz53001, wzz54001, cgd, cge)
new_lt20(wzz53001, wzz54001, app(ty_[], cfh)) → new_lt6(wzz53001, wzz54001, cfh)
new_ltEs15(wzz5300, wzz5400) → new_fsEs(new_compare17(wzz5300, wzz5400))
new_esEs23(wzz501, wzz4001, app(ty_Maybe, cab)) → new_esEs4(wzz501, wzz4001, cab)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Bool, dbe) → new_esEs11(wzz500, wzz4000)
new_lt20(wzz53001, wzz54001, ty_Double) → new_lt14(wzz53001, wzz54001)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Ratio, ddb)) → new_esEs15(wzz500, wzz4000, ddb)
new_lt7(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_ltEs19(wzz53002, wzz54002, ty_@0) → new_ltEs13(wzz53002, wzz54002)
new_lt19(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Integer) → new_compare19(new_sr0(wzz53000, wzz54001), new_sr0(wzz54000, wzz53001))
new_lt20(wzz53001, wzz54001, ty_Integer) → new_lt16(wzz53001, wzz54001)
new_esEs26(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Integer) → new_esEs17(wzz53001, wzz54001)
new_ltEs20(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_esEs21(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_esEs6(wzz53000, wzz54000, bbd, bbe)
new_esEs29(wzz23, wzz18, ty_Float) → new_esEs18(wzz23, wzz18)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, ccf), ccg), cch), ccd) → new_ltEs5(wzz53000, wzz54000, ccf, ccg, cch)
new_esEs26(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_esEs4(wzz53000, wzz54000, ca)
new_esEs32(wzz42, wzz37, ty_Integer) → new_esEs17(wzz42, wzz37)
new_ltEs8(wzz53001, wzz54001, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs5(wzz53001, wzz54001, bcc, bcd, bce)
new_compare15(wzz53000, wzz54000, app(app(ty_Either, bdh), bea)) → new_compare16(wzz53000, wzz54000, bdh, bea)
new_esEs22(wzz502, wzz4002, app(ty_[], bgc)) → new_esEs14(wzz502, wzz4002, bgc)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Double) → new_esEs10(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, app(ty_[], bcb)) → new_ltEs4(wzz53001, wzz54001, bcb)
new_esEs17(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, app(ty_[], cd)) → new_esEs14(wzz42, wzz37, cd)
new_lt17(wzz53000, wzz54000) → new_esEs8(new_compare9(wzz53000, wzz54000), LT)
new_pePe(False, wzz188) → wzz188
new_esEs14([], [], ha) → True
new_esEs25(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_esEs7(wzz53001, wzz54001, cgg, cgh)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Int) → new_esEs9(wzz500, wzz4000)
new_compare6(@0, @0) → EQ
new_esEs6(Left(wzz500), Left(wzz4000), ty_Char, dbe) → new_esEs19(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, app(ty_[], dhe)) → new_esEs14(wzz23, wzz18, dhe)
new_esEs13(wzz500, wzz4000, app(ty_Maybe, gd)) → new_esEs4(wzz500, wzz4000, gd)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_[], cdh)) → new_ltEs4(wzz53000, wzz54000, cdh)
new_esEs30(wzz50, wzz400, app(ty_Ratio, dhd)) → new_esEs15(wzz50, wzz400, dhd)
new_ltEs4(wzz5300, wzz5400, cc) → new_fsEs(new_compare(wzz5300, wzz5400, cc))
new_esEs31(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_lt20(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_lt10(wzz53001, wzz54001, cga, cgb, cgc)
new_compare11(wzz53000, wzz54000, False, dg, dh, ea) → GT
new_esEs22(wzz502, wzz4002, ty_Ordering) → new_esEs8(wzz502, wzz4002)
new_compare111(wzz53000, wzz54000, False) → GT
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare111(wzz53000, wzz54000, True) → LT
new_esEs26(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_lt4(wzz53000, wzz54000, ca) → new_esEs8(new_compare5(wzz53000, wzz54000, ca), LT)
new_esEs32(wzz42, wzz37, app(ty_Maybe, db)) → new_esEs4(wzz42, wzz37, db)
new_compare27(wzz53000, wzz54000, False, ca) → new_compare110(wzz53000, wzz54000, new_ltEs9(wzz53000, wzz54000, ca), ca)
new_primCmpNat0(Zero, Succ(wzz5400)) → LT
new_compare5(wzz53000, wzz54000, ca) → new_compare27(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, ca), ca)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Char) → new_esEs19(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, app(app(ty_@2, bae), baf)) → new_ltEs7(wzz5300, wzz5400, bae, baf)
new_esEs26(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Left(wzz4000), dch, dbe) → False
new_esEs6(Left(wzz500), Right(wzz4000), dch, dbe) → False
new_esEs8(LT, LT) → True
new_compare25(wzz53000, wzz54000, True, dg, dh, ea) → EQ
new_esEs30(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs32(wzz42, wzz37, ty_Int) → new_esEs9(wzz42, wzz37)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, app(ty_Ratio, dad)) → new_esEs15(wzz50, wzz400, dad)
new_esEs25(wzz53001, wzz54001, ty_Ordering) → new_esEs8(wzz53001, wzz54001)
new_esEs20(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, app(app(ty_@2, eae), eaf)) → new_esEs7(wzz23, wzz18, eae, eaf)
new_ltEs20(wzz5300, wzz5400, app(ty_Maybe, bee)) → new_ltEs9(wzz5300, wzz5400, bee)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_pePe(True, wzz188) → True
new_primEqNat0(Zero, Zero) → True
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, cac), cad)) → new_esEs6(wzz501, wzz4001, cac, cad)
new_compare29(wzz530, wzz540, True, dee, def) → EQ
new_lt7(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_@0) → new_esEs16(wzz500, wzz4000)
new_ltEs18(EQ, EQ) → True
new_esEs20(wzz500, wzz4000, app(ty_Ratio, hc)) → new_esEs15(wzz500, wzz4000, hc)
new_esEs12(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_ltEs19(wzz53002, wzz54002, app(ty_[], chb)) → new_ltEs4(wzz53002, wzz54002, chb)
new_esEs26(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs22(wzz502, wzz4002, app(app(ty_@2, bhc), bhd)) → new_esEs7(wzz502, wzz4002, bhc, bhd)
new_ltEs21(wzz5300, wzz5400, app(ty_Maybe, deg)) → new_ltEs9(wzz5300, wzz5400, deg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_Either, ddg), ddh)) → new_esEs6(wzz500, wzz4000, ddg, ddh)
new_esEs29(wzz23, wzz18, ty_Double) → new_esEs10(wzz23, wzz18)
new_compare15(wzz53000, wzz54000, ty_Float) → new_compare14(wzz53000, wzz54000)
new_compare16(wzz53000, wzz54000, cfd, cfe) → new_compare29(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, cfd, cfe), cfd, cfe)
new_esEs12(wzz501, wzz4001, app(app(ty_@2, fd), ff)) → new_esEs7(wzz501, wzz4001, fd, ff)
new_sr(wzz501, wzz4001) → new_primMulInt(wzz501, wzz4001)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Maybe, ccc), ccd) → new_ltEs9(wzz53000, wzz54000, ccc)
new_esEs32(wzz42, wzz37, app(app(ty_@2, de), df)) → new_esEs7(wzz42, wzz37, de, df)
new_esEs30(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_lt7(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_esEs24(wzz500, wzz4000, app(app(ty_@2, cbg), cbh)) → new_esEs7(wzz500, wzz4000, cbg, cbh)
new_esEs13(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs18(LT, LT) → True
new_esEs26(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_Char) → new_ltEs10(wzz53002, wzz54002)
new_esEs24(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_lt7(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_lt4(wzz53000, wzz54000, bag)
new_esEs8(GT, GT) → True
new_esEs12(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_primPlusNat0(Succ(wzz1340), wzz400100) → Succ(Succ(new_primPlusNat1(wzz1340, wzz400100)))
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Double, ccd) → new_ltEs15(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs8(GT, LT) → False
new_esEs8(LT, GT) → False
new_compare29(Left(wzz5300), Right(wzz5400), False, dee, def) → LT
new_ltEs19(wzz53002, wzz54002, app(ty_Maybe, cha)) → new_ltEs9(wzz53002, wzz54002, cha)
new_esEs29(wzz23, wzz18, ty_Bool) → new_esEs11(wzz23, wzz18)
new_ltEs21(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_lt7(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_ltEs18(GT, GT) → True
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_@2, ceg), ceh)) → new_ltEs7(wzz53000, wzz54000, ceg, ceh)
new_ltEs20(wzz5300, wzz5400, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs5(wzz5300, wzz5400, cfa, cfb, cfc)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Float, ccd) → new_ltEs11(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs20(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, app(app(ty_@2, bda), bdb)) → new_ltEs7(wzz53001, wzz54001, bda, bdb)
new_esEs25(wzz53001, wzz54001, ty_Bool) → new_esEs11(wzz53001, wzz54001)
new_compare113(wzz168, wzz169, True, dec, ded) → LT
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_esEs20(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_ltEs18(LT, GT) → True
new_primPlusNat1(Succ(wzz56200), Zero) → Succ(wzz56200)
new_primPlusNat1(Zero, Succ(wzz12500)) → Succ(wzz12500)
new_esEs30(wzz50, wzz400, app(ty_Maybe, dga)) → new_esEs4(wzz50, wzz400, dga)
new_esEs21(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_compare13(wzz53000, wzz54000, False) → GT
new_ltEs14(Right(wzz53000), Left(wzz54000), cdf, ccd) → False
new_ltEs8(wzz53001, wzz54001, app(app(ty_Either, bcf), bcg)) → new_ltEs14(wzz53001, wzz54001, bcf, bcg)
new_ltEs17(True, False) → False
new_ltEs16(wzz5300, wzz5400) → new_fsEs(new_compare19(wzz5300, wzz5400))
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_[], dbf), dbe) → new_esEs14(wzz500, wzz4000, dbf)
new_esEs14([], :(wzz4000, wzz4001), ha) → False
new_esEs14(:(wzz500, wzz501), [], ha) → False
new_ltEs18(GT, LT) → False
new_ltEs21(wzz5300, wzz5400, app(ty_Ratio, dff)) → new_ltEs6(wzz5300, wzz5400, dff)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_compare11(wzz53000, wzz54000, True, dg, dh, ea) → LT
new_esEs21(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_esEs7(wzz53000, wzz54000, bbg, bbh)
new_esEs32(wzz42, wzz37, app(app(app(ty_@3, cf), cg), da)) → new_esEs5(wzz42, wzz37, cf, cg, da)
new_lt16(wzz53000, wzz54000) → new_esEs8(new_compare19(wzz53000, wzz54000), LT)
new_esEs31(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Bool, ccd) → new_ltEs17(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_[], beg)) → new_ltEs4(wzz53000, wzz54000, beg)
new_esEs26(wzz53000, wzz54000, app(ty_[], cb)) → new_esEs14(wzz53000, wzz54000, cb)
new_compare15(wzz53000, wzz54000, ty_Int) → new_compare8(wzz53000, wzz54000)
new_compare112(wzz53000, wzz54000, False, cca, ccb) → GT
new_esEs25(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_esEs15(wzz53001, wzz54001, cgf)
new_ltEs5(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), cfa, cfb, cfc) → new_pePe(new_lt19(wzz53000, wzz54000, cfa), new_asAs(new_esEs26(wzz53000, wzz54000, cfa), new_pePe(new_lt20(wzz53001, wzz54001, cfb), new_asAs(new_esEs25(wzz53001, wzz54001, cfb), new_ltEs19(wzz53002, wzz54002, cfc)))))
new_compare8(wzz53, wzz54) → new_primCmpInt(wzz53, wzz54)
new_ltEs20(wzz5300, wzz5400, app(ty_[], cc)) → new_ltEs4(wzz5300, wzz5400, cc)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_esEs8(EQ, EQ) → True
new_ltEs21(wzz5300, wzz5400, app(app(ty_Either, dfd), dfe)) → new_ltEs14(wzz5300, wzz5400, dfd, dfe)
new_lt13(wzz53000, wzz54000, cff) → new_esEs8(new_compare12(wzz53000, wzz54000, cff), LT)
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_compare7(Char(wzz53000), Char(wzz54000)) → new_primCmpNat0(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_esEs22(wzz502, wzz4002, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs5(wzz502, wzz4002, bge, bgf, bgg)
new_compare([], [], cc) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs20(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_primCmpNat0(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat0(wzz5300, wzz5400)
new_esEs22(wzz502, wzz4002, app(ty_Maybe, bgh)) → new_esEs4(wzz502, wzz4002, bgh)
new_esEs25(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_esEs4(wzz53001, wzz54001, cfg)
new_esEs26(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs11(False, False) → True
new_esEs12(wzz501, wzz4001, app(app(app(ty_@3, ef), eg), eh)) → new_esEs5(wzz501, wzz4001, ef, eg, eh)
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_compare15(wzz53000, wzz54000, app(ty_[], bdd)) → new_compare(wzz53000, wzz54000, bdd)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_Either, dgh), dha)) → new_esEs6(wzz500, wzz4000, dgh, dha)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, dbh), dca), dcb), dbe) → new_esEs5(wzz500, wzz4000, dbh, dca, dcb)
new_ltEs21(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_esEs25(wzz53001, wzz54001, ty_Int) → new_esEs9(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Int) → new_ltEs12(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Ordering) → new_ltEs18(wzz53001, wzz54001)
new_esEs32(wzz42, wzz37, ty_Double) → new_esEs10(wzz42, wzz37)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Maybe, ddf)) → new_esEs4(wzz500, wzz4000, ddf)
new_esEs6(Left(wzz500), Left(wzz4000), ty_@0, dbe) → new_esEs16(wzz500, wzz4000)
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_esEs24(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs27(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs31(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_lt5(wzz53000, wzz54000) → new_esEs8(new_compare7(wzz53000, wzz54000), LT)
new_esEs21(wzz53000, wzz54000, app(ty_[], bah)) → new_esEs14(wzz53000, wzz54000, bah)
new_esEs13(wzz500, wzz4000, app(app(app(ty_@3, ga), gb), gc)) → new_esEs5(wzz500, wzz4000, ga, gb, gc)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, dgd), dge), dgf)) → new_esEs5(wzz500, wzz4000, dgd, dge, dgf)
new_lt11(wzz53000, wzz54000) → new_esEs8(new_compare6(wzz53000, wzz54000), LT)
new_compare113(wzz168, wzz169, False, dec, ded) → GT
new_compare26(wzz53000, wzz54000) → new_compare210(wzz53000, wzz54000, new_esEs8(wzz53000, wzz54000))
new_esEs22(wzz502, wzz4002, ty_Double) → new_esEs10(wzz502, wzz4002)
new_lt14(wzz53000, wzz54000) → new_esEs8(new_compare17(wzz53000, wzz54000), LT)
new_primCompAux00(wzz202, LT) → LT
new_primCmpInt(Neg(Succ(wzz5300)), Neg(wzz540)) → new_primCmpNat0(wzz540, Succ(wzz5300))
new_compare114(wzz161, wzz162, True, eag, eah) → LT
new_esEs24(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_primCompAux0(wzz53000, wzz54000, wzz189, cc) → new_primCompAux00(wzz189, new_compare15(wzz53000, wzz54000, cc))
new_esEs8(LT, EQ) → False
new_esEs8(EQ, LT) → False
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_lt10(wzz53000, wzz54000, dg, dh, ea) → new_esEs8(new_compare10(wzz53000, wzz54000, dg, dh, ea), LT)
new_esEs31(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(wzz5300), Zero) → GT
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Maybe, bef)) → new_ltEs9(wzz53000, wzz54000, bef)
new_compare15(wzz53000, wzz54000, ty_@0) → new_compare6(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_[], cce), ccd) → new_ltEs4(wzz53000, wzz54000, cce)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz5400))) → LT
new_compare13(wzz53000, wzz54000, True) → LT
new_sr0(Integer(wzz530000), Integer(wzz540010)) → Integer(new_primMulInt(wzz530000, wzz540010))
new_primPlusNat1(Succ(wzz56200), Succ(wzz12500)) → Succ(Succ(new_primPlusNat1(wzz56200, wzz12500)))
new_lt7(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, app(ty_Ratio, ee)) → new_esEs15(wzz501, wzz4001, ee)
new_compare28(wzz53000, wzz54000, True, cca, ccb) → EQ
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_esEs29(wzz23, wzz18, ty_Char) → new_esEs19(wzz23, wzz18)
new_esEs20(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_@0) → new_esEs16(wzz42, wzz37)
new_compare(:(wzz53000, wzz53001), :(wzz54000, wzz54001), cc) → new_primCompAux0(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, cc), cc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_compare210(wzz53000, wzz54000, False) → new_compare13(wzz53000, wzz54000, new_ltEs18(wzz53000, wzz54000))
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_@2, cdd), cde), ccd) → new_ltEs7(wzz53000, wzz54000, cdd, cde)
new_compare10(wzz53000, wzz54000, dg, dh, ea) → new_compare25(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs18(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Maybe, dcc), dbe) → new_esEs4(wzz500, wzz4000, dcc)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs5(wzz53000, wzz54000, beh, bfa, bfb)
new_esEs26(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_ltEs9(Just(wzz53000), Nothing, bee) → False
new_esEs30(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_primCmpInt(Pos(Zero), Pos(Succ(wzz5400))) → new_primCmpNat0(Zero, Succ(wzz5400))
new_primCompAux00(wzz202, EQ) → wzz202
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bff), bfg)) → new_ltEs7(wzz53000, wzz54000, bff, bfg)
new_compare24(wzz53000, wzz54000, True) → EQ
new_compare29(Right(wzz5300), Right(wzz5400), False, dee, def) → new_compare113(wzz5300, wzz5400, new_ltEs21(wzz5300, wzz5400, def), dee, def)
new_lt19(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs22(wzz502, wzz4002, ty_@0) → new_esEs16(wzz502, wzz4002)
new_ltEs8(wzz53001, wzz54001, ty_@0) → new_ltEs13(wzz53001, wzz54001)
new_compare15(wzz53000, wzz54000, app(app(ty_@2, bec), bed)) → new_compare18(wzz53000, wzz54000, bec, bed)
new_esEs8(GT, EQ) → False
new_esEs8(EQ, GT) → False
new_esEs20(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, ty_Char) → new_ltEs10(wzz53001, wzz54001)
new_esEs22(wzz502, wzz4002, ty_Float) → new_esEs18(wzz502, wzz4002)
new_lt7(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_lt12(wzz53000, wzz54000, bbd, bbe)
new_ltEs18(GT, EQ) → False
new_esEs21(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, app(app(ty_Either, dch), dbe)) → new_esEs6(wzz50, wzz400, dch, dbe)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_@2, dcf), dcg), dbe) → new_esEs7(wzz500, wzz4000, dcf, dcg)
new_lt7(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_not(False) → True
new_compare114(wzz161, wzz162, False, eag, eah) → GT
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_Either, dcd), dce), dbe) → new_esEs6(wzz500, wzz4000, dcd, dce)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Ratio, dgc)) → new_esEs15(wzz500, wzz4000, dgc)
new_primCmpInt(Pos(Succ(wzz5300)), Pos(wzz540)) → new_primCmpNat0(Succ(wzz5300), wzz540)
new_compare110(wzz53000, wzz54000, True, ca) → LT
new_primPlusNat0(Zero, wzz400100) → Succ(wzz400100)
new_esEs30(wzz50, wzz400, app(app(ty_@2, eb), ec)) → new_esEs7(wzz50, wzz400, eb, ec)
new_compare15(wzz53000, wzz54000, ty_Char) → new_compare7(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Nothing, Nothing, bee) → True
new_esEs24(wzz500, wzz4000, app(app(ty_Either, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Ratio, cef)) → new_ltEs6(wzz53000, wzz54000, cef)
new_esEs32(wzz42, wzz37, ty_Ordering) → new_esEs8(wzz42, wzz37)
new_esEs24(wzz500, wzz4000, app(ty_[], cag)) → new_esEs14(wzz500, wzz4000, cag)
new_esEs25(wzz53001, wzz54001, ty_Float) → new_esEs18(wzz53001, wzz54001)
new_ltEs18(EQ, LT) → False
new_lt19(wzz53000, wzz54000, app(ty_[], cb)) → new_lt6(wzz53000, wzz54000, cb)
new_ltEs18(LT, EQ) → True
new_lt20(wzz53001, wzz54001, ty_Ordering) → new_lt18(wzz53001, wzz54001)
new_esEs21(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_esEs15(wzz53000, wzz54000, bbf)
new_esEs29(wzz23, wzz18, app(ty_Ratio, dhf)) → new_esEs15(wzz23, wzz18, dhf)
new_esEs32(wzz42, wzz37, ty_Float) → new_esEs18(wzz42, wzz37)
new_esEs22(wzz502, wzz4002, ty_Bool) → new_esEs11(wzz502, wzz4002)
new_esEs20(wzz500, wzz4000, app(app(app(ty_@3, hd), he), hf)) → new_esEs5(wzz500, wzz4000, hd, he, hf)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_primCmpInt(Pos(Succ(wzz5300)), Neg(wzz540)) → GT
new_esEs13(wzz500, wzz4000, app(app(ty_Either, ge), gf)) → new_esEs6(wzz500, wzz4000, ge, gf)
new_lt8(wzz53000, wzz54000) → new_esEs8(new_compare14(wzz53000, wzz54000), LT)
new_esEs24(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs21(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs5(wzz53000, wzz54000, bba, bbb, bbc)
new_lt6(wzz53000, wzz54000, cb) → new_esEs8(new_compare(wzz53000, wzz54000, cb), LT)
new_esEs29(wzz23, wzz18, ty_@0) → new_esEs16(wzz23, wzz18)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_primMulInt(Pos(wzz5010), Pos(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_compare19(Integer(wzz53000), Integer(wzz54000)) → new_primCmpInt(wzz53000, wzz54000)
new_ltEs12(wzz5300, wzz5400) → new_fsEs(new_compare8(wzz5300, wzz5400))
new_esEs12(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs18(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_primMulInt(Neg(wzz5010), Neg(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_ltEs19(wzz53002, wzz54002, app(ty_Ratio, chh)) → new_ltEs6(wzz53002, wzz54002, chh)
new_lt15(wzz53000, wzz54000, cca, ccb) → new_esEs8(new_compare18(wzz53000, wzz54000, cca, ccb), LT)
new_ltEs8(wzz53001, wzz54001, app(ty_Maybe, bca)) → new_ltEs9(wzz53001, wzz54001, bca)
new_lt9(wzz530, wzz540) → new_esEs8(new_compare8(wzz530, wzz540), LT)
new_primEqNat0(Succ(wzz5000), Zero) → False
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_esEs21(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_Int) → new_ltEs12(wzz53002, wzz54002)
new_esEs26(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_esEs7(wzz53000, wzz54000, cca, ccb)
new_esEs24(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, dga) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_Either, bfc), bfd)) → new_ltEs14(wzz53000, wzz54000, bfc, bfd)
new_esEs22(wzz502, wzz4002, app(ty_Ratio, bgd)) → new_esEs15(wzz502, wzz4002, bgd)
new_ltEs21(wzz5300, wzz5400, app(app(ty_@2, dfg), dfh)) → new_ltEs7(wzz5300, wzz5400, dfg, dfh)
new_esEs13(wzz500, wzz4000, app(app(ty_@2, gg), gh)) → new_esEs7(wzz500, wzz4000, gg, gh)
new_esEs20(wzz500, wzz4000, app(app(ty_Either, hh), baa)) → new_esEs6(wzz500, wzz4000, hh, baa)
new_esEs22(wzz502, wzz4002, ty_Int) → new_esEs9(wzz502, wzz4002)
new_compare210(wzz53000, wzz54000, True) → EQ
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs29(wzz23, wzz18, app(app(ty_Either, eac), ead)) → new_esEs6(wzz23, wzz18, eac, ead)
new_ltEs21(wzz5300, wzz5400, app(app(app(ty_@3, dfa), dfb), dfc)) → new_ltEs5(wzz5300, wzz5400, dfa, dfb, dfc)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_@0, ccd) → new_ltEs13(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, app(ty_[], bhe)) → new_esEs14(wzz501, wzz4001, bhe)
new_esEs29(wzz23, wzz18, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs5(wzz23, wzz18, dhg, dhh, eaa)
new_compare9(wzz53000, wzz54000) → new_compare24(wzz53000, wzz54000, new_esEs11(wzz53000, wzz54000))
new_esEs12(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs24(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, ty_Float) → new_ltEs11(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Ratio, bch)) → new_ltEs6(wzz53001, wzz54001, bch)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz5400))) → new_primCmpNat0(Succ(wzz5400), Zero)
new_lt20(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_lt15(wzz53001, wzz54001, cgg, cgh)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz5400))) → GT
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_[], dda)) → new_esEs14(wzz500, wzz4000, dda)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Ordering, dbe) → new_esEs8(wzz500, wzz4000)
new_compare110(wzz53000, wzz54000, False, ca) → GT
new_lt12(wzz53000, wzz54000, cfd, cfe) → new_esEs8(new_compare16(wzz53000, wzz54000, cfd, cfe), LT)
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_ltEs20(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs19(wzz53002, wzz54002, ty_Bool) → new_ltEs17(wzz53002, wzz54002)
new_ltEs7(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bae, baf) → new_pePe(new_lt7(wzz53000, wzz54000, bae), new_asAs(new_esEs21(wzz53000, wzz54000, bae), new_ltEs8(wzz53001, wzz54001, baf)))
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_[], dgb)) → new_esEs14(wzz500, wzz4000, dgb)
new_esEs27(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_lt18(wzz53000, wzz54000) → new_esEs8(new_compare26(wzz53000, wzz54000), LT)
new_compare25(wzz53000, wzz54000, False, dg, dh, ea) → new_compare11(wzz53000, wzz54000, new_ltEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs21(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Double) → new_esEs10(wzz53001, wzz54001)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(app(ty_@3, cea), ceb), cec)) → new_ltEs5(wzz53000, wzz54000, cea, ceb, cec)
new_esEs13(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs21(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_esEs4(wzz53000, wzz54000, bag)
new_esEs19(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_esEs22(wzz502, wzz4002, ty_Char) → new_esEs19(wzz502, wzz4002)
new_compare29(Right(wzz5300), Left(wzz5400), False, dee, def) → GT
new_esEs10(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_lt19(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_lt13(wzz53000, wzz54000, cff)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bhf)) → new_esEs15(wzz501, wzz4001, bhf)
new_esEs21(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_compare29(Left(wzz5300), Left(wzz5400), False, dee, def) → new_compare114(wzz5300, wzz5400, new_ltEs20(wzz5300, wzz5400, dee), dee, def)
new_ltEs14(Left(wzz53000), Right(wzz54000), cdf, ccd) → True
new_esEs12(wzz501, wzz4001, app(app(ty_Either, fb), fc)) → new_esEs6(wzz501, wzz4001, fb, fc)
new_compare15(wzz53000, wzz54000, app(ty_Ratio, beb)) → new_compare12(wzz53000, wzz54000, beb)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_Bool) → new_esEs11(wzz42, wzz37)
new_esEs12(wzz501, wzz4001, app(ty_Maybe, fa)) → new_esEs4(wzz501, wzz4001, fa)
new_ltEs19(wzz53002, wzz54002, app(app(ty_@2, daa), dab)) → new_ltEs7(wzz53002, wzz54002, daa, dab)
new_asAs(False, wzz156) → False
new_ltEs20(wzz5300, wzz5400, app(app(ty_Either, cdf), ccd)) → new_ltEs14(wzz5300, wzz5400, cdf, ccd)
new_ltEs19(wzz53002, wzz54002, app(app(ty_Either, chf), chg)) → new_ltEs14(wzz53002, wzz54002, chf, chg)
new_primMulInt(Pos(wzz5010), Neg(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Pos(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulNat0(Succ(wzz50100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz400100)) → Zero
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Ratio, cdc), ccd) → new_ltEs6(wzz53000, wzz54000, cdc)
new_esEs25(wzz53001, wzz54001, ty_@0) → new_esEs16(wzz53001, wzz54001)
new_lt19(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_lt15(wzz53000, wzz54000, cca, ccb)
new_esEs13(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cae), caf)) → new_esEs7(wzz501, wzz4001, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_ltEs6(wzz5300, wzz5400, bad) → new_fsEs(new_compare12(wzz5300, wzz5400, bad))
new_lt19(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_ltEs21(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_lt20(wzz53001, wzz54001, ty_Float) → new_lt8(wzz53001, wzz54001)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Double, dbe) → new_esEs10(wzz500, wzz4000)
new_compare24(wzz53000, wzz54000, False) → new_compare111(wzz53000, wzz54000, new_ltEs17(wzz53000, wzz54000))
new_esEs24(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_lt19(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_lt12(wzz53000, wzz54000, cfd, cfe)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_Either, ced), cee)) → new_ltEs14(wzz53000, wzz54000, ced, cee)
new_esEs11(True, True) → True
new_ltEs17(True, True) → True
new_lt19(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_lt10(wzz53000, wzz54000, dg, dh, ea)
new_lt7(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_esEs16(@0, @0) → True
new_esEs26(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_compare17(Double(wzz53000, wzz53001), Double(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Integer) → new_compare19(wzz53000, wzz54000)
new_esEs5(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bfh, bga, bgb) → new_asAs(new_esEs24(wzz500, wzz4000, bfh), new_asAs(new_esEs23(wzz501, wzz4001, bga), new_esEs22(wzz502, wzz4002, bgb)))
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, app(app(ty_Either, dba), dbb)) → new_esEs6(wzz50, wzz400, dba, dbb)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_Either, cda), cdb), ccd) → new_ltEs14(wzz53000, wzz54000, cda, cdb)
new_ltEs19(wzz53002, wzz54002, app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(wzz53002, wzz54002, chc, chd, che)
new_ltEs8(wzz53001, wzz54001, ty_Double) → new_ltEs15(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Char) → new_lt5(wzz53001, wzz54001)
new_lt19(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Int) → new_compare8(new_sr(wzz53000, wzz54001), new_sr(wzz54000, wzz53001))
new_ltEs21(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs19(wzz500, wzz4000)
new_lt7(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt10(wzz53000, wzz54000, bba, bbb, bbc)
new_lt19(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_lt4(wzz53000, wzz54000, ca)
new_ltEs20(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_esEs32(wzz42, wzz37, app(ty_Ratio, ce)) → new_esEs15(wzz42, wzz37, ce)
new_esEs32(wzz42, wzz37, app(app(ty_Either, dc), dd)) → new_esEs6(wzz42, wzz37, dc, dd)
new_ltEs17(False, True) → True
new_esEs31(wzz50, wzz400, app(ty_Maybe, dah)) → new_esEs4(wzz50, wzz400, dah)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Ratio, bfe)) → new_ltEs6(wzz53000, wzz54000, bfe)
new_esEs25(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs5(wzz53001, wzz54001, cga, cgb, cgc)
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_ltEs20(wzz5300, wzz5400, app(ty_Ratio, bad)) → new_ltEs6(wzz5300, wzz5400, bad)
new_esEs22(wzz502, wzz4002, app(app(ty_Either, bha), bhb)) → new_esEs6(wzz502, wzz4002, bha, bhb)
new_ltEs21(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_esEs22(wzz502, wzz4002, ty_Integer) → new_esEs17(wzz502, wzz4002)
new_compare15(wzz53000, wzz54000, app(ty_Maybe, bdc)) → new_compare5(wzz53000, wzz54000, bdc)
new_esEs28(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_@2, dhb), dhc)) → new_esEs7(wzz500, wzz4000, dhb, dhc)
new_ltEs11(wzz5300, wzz5400) → new_fsEs(new_compare14(wzz5300, wzz5400))
new_esEs13(wzz500, wzz4000, app(ty_Ratio, fh)) → new_esEs15(wzz500, wzz4000, fh)
new_ltEs10(wzz5300, wzz5400) → new_fsEs(new_compare7(wzz5300, wzz5400))
new_compare27(wzz53000, wzz54000, True, ca) → EQ
new_ltEs19(wzz53002, wzz54002, ty_Double) → new_ltEs15(wzz53002, wzz54002)
new_esEs30(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_compare14(Float(wzz53000, wzz53001), Float(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs21(wzz5300, wzz5400, app(ty_[], deh)) → new_ltEs4(wzz5300, wzz5400, deh)
new_esEs20(wzz500, wzz4000, app(app(ty_@2, bab), bac)) → new_esEs7(wzz500, wzz4000, bab, bac)
new_lt19(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_esEs6(wzz53000, wzz54000, cfd, cfe)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs12(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs13(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_compare15(wzz53000, wzz54000, ty_Bool) → new_compare9(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, app(ty_[], ed)) → new_esEs14(wzz501, wzz4001, ed)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Char, ccd) → new_ltEs10(wzz53000, wzz54000)
new_asAs(True, wzz156) → wzz156
new_compare15(wzz53000, wzz54000, ty_Ordering) → new_compare26(wzz53000, wzz54000)
new_compare112(wzz53000, wzz54000, True, cca, ccb) → LT
new_esEs26(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_esEs5(wzz53000, wzz54000, dg, dh, ea)
new_esEs30(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_primMulNat0(Succ(wzz50100), Succ(wzz400100)) → new_primPlusNat0(new_primMulNat0(wzz50100, Succ(wzz400100)), wzz400100)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Float, dbe) → new_esEs18(wzz500, wzz4000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Ordering, ccd) → new_ltEs18(wzz53000, wzz54000)
new_esEs7(@2(wzz500, wzz501), @2(wzz4000, wzz4001), eb, ec) → new_asAs(new_esEs13(wzz500, wzz4000, eb), new_esEs12(wzz501, wzz4001, ec))
new_esEs13(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_ltEs19(wzz53002, wzz54002, ty_Ordering) → new_ltEs18(wzz53002, wzz54002)
new_lt20(wzz53001, wzz54001, ty_Bool) → new_lt17(wzz53001, wzz54001)
new_fsEs(wzz171) → new_not(new_esEs8(wzz171, GT))
new_lt20(wzz53001, wzz54001, ty_@0) → new_lt11(wzz53001, wzz54001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(wzz501, wzz4001, bhg, bhh, caa)
new_lt20(wzz53001, wzz54001, ty_Int) → new_lt9(wzz53001, wzz54001)
new_esEs20(wzz500, wzz4000, app(ty_[], hb)) → new_esEs14(wzz500, wzz4000, hb)
new_ltEs8(wzz53001, wzz54001, ty_Integer) → new_ltEs16(wzz53001, wzz54001)
new_esEs9(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(app(app(ty_@3, bfh), bga), bgb)) → new_esEs5(wzz50, wzz400, bfh, bga, bgb)
new_lt19(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs29(wzz23, wzz18, app(ty_Maybe, eab)) → new_esEs4(wzz23, wzz18, eab)
new_ltEs20(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_lt7(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_Char) → new_esEs19(wzz42, wzz37)
new_esEs12(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_lt20(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_lt13(wzz53001, wzz54001, cgf)
new_ltEs20(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_esEs20(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_compare28(wzz53000, wzz54000, False, cca, ccb) → new_compare112(wzz53000, wzz54000, new_ltEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_primCompAux00(wzz202, GT) → GT
new_esEs24(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_compare15(wzz53000, wzz54000, ty_Double) → new_compare17(wzz53000, wzz54000)
new_lt20(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_lt4(wzz53001, wzz54001, cfg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(wzz500, wzz4000, ddc, ddd, dde)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Maybe, cdg)) → new_ltEs9(wzz53000, wzz54000, cdg)
new_esEs29(wzz23, wzz18, ty_Ordering) → new_esEs8(wzz23, wzz18)
new_esEs30(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_compare15(wzz53000, wzz54000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare10(wzz53000, wzz54000, bde, bdf, bdg)
new_esEs21(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs31(wzz50, wzz400, app(app(ty_@2, dbc), dbd)) → new_esEs7(wzz50, wzz400, dbc, dbd)
new_primCmpInt(Neg(Succ(wzz5300)), Pos(wzz540)) → LT
new_not(True) → False
new_lt7(wzz53000, wzz54000, app(ty_[], bah)) → new_lt6(wzz53000, wzz54000, bah)

The set Q consists of the following terms:

new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare15(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_primEqNat0(Succ(x0), Zero)
new_ltEs8(x0, x1, ty_Double)
new_compare(:(x0, x1), [], x2)
new_ltEs9(Just(x0), Just(x1), app(ty_[], x2))
new_compare([], :(x0, x1), x2)
new_esEs11(True, True)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Float)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Float)
new_esEs12(x0, x1, ty_Int)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_primEqNat0(Zero, Succ(x0))
new_lt7(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, ty_Bool)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_esEs18(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Float)
new_compare15(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Int)
new_compare110(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, ty_Double)
new_esEs8(GT, GT)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_compare25(x0, x1, False, x2, x3, x4)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Nothing, x1)
new_esEs29(x0, x1, ty_Float)
new_lt19(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs8(LT, LT)
new_ltEs9(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_compare25(x0, x1, True, x2, x3, x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs16(@0, @0)
new_compare114(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs31(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Char)
new_compare15(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Double)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Double)
new_lt7(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_compare9(x0, x1)
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare24(x0, x1, False)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs13(x0, x1, ty_Int)
new_ltEs17(False, False)
new_ltEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_@0)
new_ltEs8(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Float)
new_ltEs18(GT, LT)
new_ltEs18(LT, GT)
new_compare210(x0, x1, False)
new_esEs27(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_@0)
new_ltEs8(x0, x1, ty_Integer)
new_lt13(x0, x1, x2)
new_ltEs10(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Bool)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Bool)
new_compare11(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare16(x0, x1, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(x0, x1)
new_ltEs9(Just(x0), Just(x1), ty_Char)
new_esEs23(x0, x1, ty_Double)
new_asAs(False, x0)
new_ltEs16(x0, x1)
new_primMulNat0(Zero, Zero)
new_compare29(Left(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Bool)
new_ltEs18(EQ, LT)
new_ltEs18(LT, EQ)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Integer)
new_compare([], [], x0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs8(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs29(x0, x1, ty_Char)
new_lt19(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Ordering)
new_lt14(x0, x1)
new_compare10(x0, x1, x2, x3, x4)
new_ltEs17(True, True)
new_esEs21(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs25(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_compare29(Right(x0), Left(x1), False, x2, x3)
new_compare29(Left(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_compare17(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, ty_Ordering)
new_ltEs8(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs31(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt15(x0, x1, x2, x3)
new_lt19(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Int)
new_ltEs9(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare28(x0, x1, False, x2, x3)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare8(x0, x1)
new_esEs11(False, False)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs13(x0, x1, app(ty_[], x2))
new_compare27(x0, x1, True, x2)
new_esEs23(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_lt17(x0, x1)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1)
new_esEs24(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_Int)
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_esEs21(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_esEs13(x0, x1, ty_Ordering)
new_pePe(False, x0)
new_lt19(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs14([], :(x0, x1), x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare15(x0, x1, app(ty_[], x2))
new_primPlusNat1(Zero, Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs31(x0, x1, ty_Int)
new_pePe(True, x0)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3, x4)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, x2)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Char)
new_ltEs9(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, ty_Ordering)
new_compare112(x0, x1, True, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_lt7(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs26(x0, x1, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, ty_Integer)
new_primCompAux00(x0, GT)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs9(Nothing, Just(x0), x1)
new_lt19(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_sr0(Integer(x0), Integer(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt10(x0, x1, x2, x3, x4)
new_compare27(x0, x1, False, x2)
new_compare29(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs9(Just(x0), Just(x1), ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs9(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs15(:%(x0, x1), :%(x2, x3), x4)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs12(x0, x1, app(ty_[], x2))
new_compare15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs29(x0, x1, ty_@0)
new_esEs12(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_fsEs(x0)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_lt7(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, x2, x3)
new_ltEs9(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs9(Just(x0), Just(x1), ty_@0)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs20(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt5(x0, x1)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs8(EQ, EQ)
new_esEs12(x0, x1, ty_@0)
new_ltEs12(x0, x1)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs9(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs14([], [], x0)
new_esEs28(x0, x1, ty_Integer)
new_primPlusNat0(Succ(x0), x1)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_sr(x0, x1)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs11(x0, x1)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, False, x2, x3)
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, ty_Double)
new_ltEs18(LT, LT)
new_ltEs20(x0, x1, ty_Int)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs24(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Just(x0), x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs20(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs8(x0, x1, ty_Char)
new_compare18(x0, x1, x2, x3)
new_compare210(x0, x1, True)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_compare13(x0, x1, False)
new_compare6(@0, @0)
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_compare29(Right(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, ty_Integer)
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_ltEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_primMulNat0(Succ(x0), Succ(x1))
new_compare113(x0, x1, True, x2, x3)
new_ltEs18(EQ, GT)
new_ltEs18(GT, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Zero, Zero)
new_ltEs8(x0, x1, ty_Bool)
new_esEs14(:(x0, x1), [], x2)
new_esEs21(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_compare15(x0, x1, ty_Float)
new_ltEs8(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs9(Nothing, Nothing, x0)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_ltEs9(Just(x0), Just(x1), ty_Double)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_ltEs9(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_compare28(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare114(x0, x1, True, x2, x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False)
new_ltEs8(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_asAs(True, x0)
new_lt4(x0, x1, x2)
new_esEs28(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare112(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs4(Nothing, Nothing, x0)
new_compare15(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_@0)
new_ltEs9(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs13(x0, x1, ty_@0)
new_esEs20(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs18(EQ, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare15(x0, x1, ty_Char)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_not(True)
new_esEs24(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_compare110(x0, x1, True, x2)
new_esEs26(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare24(x0, x1, True)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt7(x0, x1, ty_Bool)
new_not(False)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Integer)
new_esEs19(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Int)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_lt18(x0, x1)
new_ltEs17(False, True)
new_ltEs17(True, False)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare26(x0, x1)
new_compare15(x0, x1, ty_Double)
new_compare19(Integer(x0), Integer(x1))
new_esEs25(x0, x1, ty_Int)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Ordering)
new_lt9(x0, x1)
new_compare15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_Integer)
new_compare5(x0, x1, x2)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_primCompAux0(x0, x1, x2, x3)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Bool)
new_ltEs18(GT, GT)
new_esEs32(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Ordering)
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs10(Double(x0, x1), Double(x2, x3))
new_primPlusNat0(Zero, x0)
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Float)
new_esEs17(Integer(x0), Integer(x1))
new_lt7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, EQ)
new_esEs25(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Float)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs13(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs26(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Bool)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_lt7(x0, x1, ty_Char)
new_compare(:(x0, x1), :(x2, x3), x4)
new_esEs21(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_lt20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Bool)
new_compare14(Float(x0, x1), Float(x2, x3))
new_lt8(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs9(Just(x0), Just(x1), ty_Float)
new_esEs32(x0, x1, ty_Float)
new_compare15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(Char(x0), Char(x1))
new_ltEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Bool)
new_lt7(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))

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

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

new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, bc, bd, be) → new_addToFM_C11(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Left(wzz400), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(wzz3, Branch(Left(wzz400), wzz41, wzz42, wzz43, wzz44), Right(wzz50), wzz6, bc, bd, be) → new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Left(wzz400), False, bc, bd), LT), bc, bd, be)
new_addToFM_C22(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, False, bf, bg, bh) → new_addToFM_C12(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, new_esEs8(new_compare29(Right(wzz42), Right(wzz37), new_esEs32(wzz42, wzz37, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C11(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz44, Right(wzz50), wzz6, bc, bd, be)
new_addToFM_C12(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, True, bf, bg, bh) → new_addToFM_C(wzz36, wzz41, Right(wzz42), wzz43, bf, bg, bh)
new_addToFM_C22(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, True, bf, bg, bh) → new_addToFM_C(wzz36, wzz40, Right(wzz42), wzz43, bf, bg, bh)
new_addToFM_C(wzz3, Branch(Right(wzz400), wzz41, wzz42, wzz43, wzz44), Right(wzz50), wzz6, bc, bd, be) → new_addToFM_C22(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Right(wzz400), new_esEs31(wzz50, wzz400, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz43, Right(wzz50), wzz6, bc, bd, be)

The TRS R consists of the following rules:

new_esEs32(wzz42, wzz37, ty_Integer) → new_esEs17(wzz42, wzz37)
new_esEs32(wzz42, wzz37, app(ty_[], cd)) → new_esEs14(wzz42, wzz37, cd)
new_esEs32(wzz42, wzz37, app(ty_Maybe, db)) → new_esEs4(wzz42, wzz37, db)
new_esEs32(wzz42, wzz37, ty_Int) → new_esEs9(wzz42, wzz37)
new_esEs32(wzz42, wzz37, app(app(ty_@2, de), df)) → new_esEs7(wzz42, wzz37, de, df)
new_esEs32(wzz42, wzz37, app(app(app(ty_@3, cf), cg), da)) → new_esEs5(wzz42, wzz37, cf, cg, da)
new_esEs32(wzz42, wzz37, ty_Double) → new_esEs10(wzz42, wzz37)
new_esEs32(wzz42, wzz37, ty_@0) → new_esEs16(wzz42, wzz37)
new_esEs32(wzz42, wzz37, ty_Ordering) → new_esEs8(wzz42, wzz37)
new_esEs32(wzz42, wzz37, ty_Float) → new_esEs18(wzz42, wzz37)
new_esEs32(wzz42, wzz37, ty_Bool) → new_esEs11(wzz42, wzz37)
new_esEs32(wzz42, wzz37, app(ty_Ratio, ce)) → new_esEs15(wzz42, wzz37, ce)
new_esEs32(wzz42, wzz37, app(app(ty_Either, dc), dd)) → new_esEs6(wzz42, wzz37, dc, dd)
new_esEs32(wzz42, wzz37, ty_Char) → new_esEs19(wzz42, wzz37)
new_compare29(wzz530, wzz540, True, dee, def) → EQ
new_compare29(Right(wzz5300), Right(wzz5400), False, dee, def) → new_compare113(wzz5300, wzz5400, new_ltEs21(wzz5300, wzz5400, def), dee, def)
new_esEs8(GT, GT) → True
new_esEs8(LT, GT) → False
new_esEs8(EQ, GT) → False
new_ltEs21(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_Maybe, deg)) → new_ltEs9(wzz5300, wzz5400, deg)
new_ltEs21(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_Ratio, dff)) → new_ltEs6(wzz5300, wzz5400, dff)
new_ltEs21(wzz5300, wzz5400, app(app(ty_Either, dfd), dfe)) → new_ltEs14(wzz5300, wzz5400, dfd, dfe)
new_ltEs21(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(app(ty_@2, dfg), dfh)) → new_ltEs7(wzz5300, wzz5400, dfg, dfh)
new_ltEs21(wzz5300, wzz5400, app(app(app(ty_@3, dfa), dfb), dfc)) → new_ltEs5(wzz5300, wzz5400, dfa, dfb, dfc)
new_ltEs21(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_[], deh)) → new_ltEs4(wzz5300, wzz5400, deh)
new_compare113(wzz168, wzz169, True, dec, ded) → LT
new_compare113(wzz168, wzz169, False, dec, ded) → GT
new_ltEs4(wzz5300, wzz5400, cc) → new_fsEs(new_compare(wzz5300, wzz5400, cc))
new_compare([], :(wzz54000, wzz54001), cc) → LT
new_compare(:(wzz53000, wzz53001), [], cc) → GT
new_compare([], [], cc) → EQ
new_compare(:(wzz53000, wzz53001), :(wzz54000, wzz54001), cc) → new_primCompAux0(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, cc), cc)
new_fsEs(wzz171) → new_not(new_esEs8(wzz171, GT))
new_not(False) → True
new_not(True) → False
new_primCompAux0(wzz53000, wzz54000, wzz189, cc) → new_primCompAux00(wzz189, new_compare15(wzz53000, wzz54000, cc))
new_compare15(wzz53000, wzz54000, app(app(ty_Either, bdh), bea)) → new_compare16(wzz53000, wzz54000, bdh, bea)
new_compare15(wzz53000, wzz54000, ty_Float) → new_compare14(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Int) → new_compare8(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_[], bdd)) → new_compare(wzz53000, wzz54000, bdd)
new_compare15(wzz53000, wzz54000, ty_@0) → new_compare6(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(app(ty_@2, bec), bed)) → new_compare18(wzz53000, wzz54000, bec, bed)
new_compare15(wzz53000, wzz54000, ty_Char) → new_compare7(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_Ratio, beb)) → new_compare12(wzz53000, wzz54000, beb)
new_compare15(wzz53000, wzz54000, ty_Integer) → new_compare19(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_Maybe, bdc)) → new_compare5(wzz53000, wzz54000, bdc)
new_compare15(wzz53000, wzz54000, ty_Bool) → new_compare9(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Ordering) → new_compare26(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Double) → new_compare17(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare10(wzz53000, wzz54000, bde, bdf, bdg)
new_primCompAux00(wzz202, LT) → LT
new_primCompAux00(wzz202, EQ) → wzz202
new_primCompAux00(wzz202, GT) → GT
new_compare10(wzz53000, wzz54000, dg, dh, ea) → new_compare25(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs5(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bfh, bga, bgb) → new_asAs(new_esEs24(wzz500, wzz4000, bfh), new_asAs(new_esEs23(wzz501, wzz4001, bga), new_esEs22(wzz502, wzz4002, bgb)))
new_compare25(wzz53000, wzz54000, True, dg, dh, ea) → EQ
new_compare25(wzz53000, wzz54000, False, dg, dh, ea) → new_compare11(wzz53000, wzz54000, new_ltEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_ltEs5(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), cfa, cfb, cfc) → new_pePe(new_lt19(wzz53000, wzz54000, cfa), new_asAs(new_esEs26(wzz53000, wzz54000, cfa), new_pePe(new_lt20(wzz53001, wzz54001, cfb), new_asAs(new_esEs25(wzz53001, wzz54001, cfb), new_ltEs19(wzz53002, wzz54002, cfc)))))
new_compare11(wzz53000, wzz54000, False, dg, dh, ea) → GT
new_compare11(wzz53000, wzz54000, True, dg, dh, ea) → LT
new_lt19(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(ty_[], cb)) → new_lt6(wzz53000, wzz54000, cb)
new_lt19(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_lt13(wzz53000, wzz54000, cff)
new_lt19(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_lt15(wzz53000, wzz54000, cca, ccb)
new_lt19(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_lt12(wzz53000, wzz54000, cfd, cfe)
new_lt19(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_lt10(wzz53000, wzz54000, dg, dh, ea)
new_lt19(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_lt4(wzz53000, wzz54000, ca)
new_lt19(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_esEs15(wzz53000, wzz54000, cff)
new_esEs26(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_esEs4(wzz53000, wzz54000, ca)
new_esEs26(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_[], cb)) → new_esEs14(wzz53000, wzz54000, cb)
new_esEs26(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_esEs7(wzz53000, wzz54000, cca, ccb)
new_esEs26(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_esEs6(wzz53000, wzz54000, cfd, cfe)
new_esEs26(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_esEs5(wzz53000, wzz54000, dg, dh, ea)
new_lt20(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_lt12(wzz53001, wzz54001, cgd, cge)
new_lt20(wzz53001, wzz54001, app(ty_[], cfh)) → new_lt6(wzz53001, wzz54001, cfh)
new_lt20(wzz53001, wzz54001, ty_Double) → new_lt14(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Integer) → new_lt16(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_lt10(wzz53001, wzz54001, cga, cgb, cgc)
new_lt20(wzz53001, wzz54001, ty_Ordering) → new_lt18(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_lt15(wzz53001, wzz54001, cgg, cgh)
new_lt20(wzz53001, wzz54001, ty_Float) → new_lt8(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Char) → new_lt5(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Bool) → new_lt17(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_@0) → new_lt11(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Int) → new_lt9(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_lt13(wzz53001, wzz54001, cgf)
new_lt20(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_lt4(wzz53001, wzz54001, cfg)
new_esEs25(wzz53001, wzz54001, app(ty_[], cfh)) → new_esEs14(wzz53001, wzz54001, cfh)
new_esEs25(wzz53001, wzz54001, ty_Char) → new_esEs19(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_esEs6(wzz53001, wzz54001, cgd, cge)
new_esEs25(wzz53001, wzz54001, ty_Integer) → new_esEs17(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_esEs7(wzz53001, wzz54001, cgg, cgh)
new_esEs25(wzz53001, wzz54001, ty_Ordering) → new_esEs8(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Bool) → new_esEs11(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_esEs15(wzz53001, wzz54001, cgf)
new_esEs25(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_esEs4(wzz53001, wzz54001, cfg)
new_esEs25(wzz53001, wzz54001, ty_Int) → new_esEs9(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Float) → new_esEs18(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Double) → new_esEs10(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_@0) → new_esEs16(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs5(wzz53001, wzz54001, cga, cgb, cgc)
new_ltEs19(wzz53002, wzz54002, ty_Integer) → new_ltEs16(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Float) → new_ltEs11(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_@0) → new_ltEs13(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(ty_[], chb)) → new_ltEs4(wzz53002, wzz54002, chb)
new_ltEs19(wzz53002, wzz54002, ty_Char) → new_ltEs10(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(ty_Maybe, cha)) → new_ltEs9(wzz53002, wzz54002, cha)
new_ltEs19(wzz53002, wzz54002, app(ty_Ratio, chh)) → new_ltEs6(wzz53002, wzz54002, chh)
new_ltEs19(wzz53002, wzz54002, ty_Int) → new_ltEs12(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Bool) → new_ltEs17(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(app(ty_@2, daa), dab)) → new_ltEs7(wzz53002, wzz54002, daa, dab)
new_ltEs19(wzz53002, wzz54002, app(app(ty_Either, chf), chg)) → new_ltEs14(wzz53002, wzz54002, chf, chg)
new_ltEs19(wzz53002, wzz54002, app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(wzz53002, wzz54002, chc, chd, che)
new_ltEs19(wzz53002, wzz54002, ty_Double) → new_ltEs15(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Ordering) → new_ltEs18(wzz53002, wzz54002)
new_asAs(False, wzz156) → False
new_asAs(True, wzz156) → wzz156
new_pePe(False, wzz188) → wzz188
new_pePe(True, wzz188) → True
new_ltEs18(EQ, GT) → True
new_ltEs18(EQ, EQ) → True
new_ltEs18(LT, LT) → True
new_ltEs18(GT, GT) → True
new_ltEs18(LT, GT) → True
new_ltEs18(GT, LT) → False
new_ltEs18(GT, EQ) → False
new_ltEs18(EQ, LT) → False
new_ltEs18(LT, EQ) → True
new_ltEs15(wzz5300, wzz5400) → new_fsEs(new_compare17(wzz5300, wzz5400))
new_compare17(Double(wzz53000, wzz53001), Double(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_sr(wzz501, wzz4001) → new_primMulInt(wzz501, wzz4001)
new_compare8(wzz53, wzz54) → new_primCmpInt(wzz53, wzz54)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz5300)), Neg(wzz540)) → new_primCmpNat0(wzz540, Succ(wzz5300))
new_primCmpInt(Neg(Zero), Pos(Succ(wzz5400))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(wzz5400))) → new_primCmpNat0(Zero, Succ(wzz5400))
new_primCmpInt(Pos(Succ(wzz5300)), Pos(wzz540)) → new_primCmpNat0(Succ(wzz5300), wzz540)
new_primCmpInt(Pos(Succ(wzz5300)), Neg(wzz540)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(wzz5400))) → new_primCmpNat0(Succ(wzz5400), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz5400))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz5300)), Pos(wzz540)) → LT
new_primCmpNat0(Succ(wzz5300), Zero) → GT
new_primCmpNat0(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat0(wzz5300, wzz5400)
new_primCmpNat0(Zero, Succ(wzz5400)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_primMulInt(Pos(wzz5010), Pos(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Neg(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Pos(wzz5010), Neg(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Pos(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(wzz50100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz400100)) → Zero
new_primMulNat0(Succ(wzz50100), Succ(wzz400100)) → new_primPlusNat0(new_primMulNat0(wzz50100, Succ(wzz400100)), wzz400100)
new_primPlusNat0(Succ(wzz1340), wzz400100) → Succ(Succ(new_primPlusNat1(wzz1340, wzz400100)))
new_primPlusNat0(Zero, wzz400100) → Succ(wzz400100)
new_primPlusNat1(Succ(wzz56200), Zero) → Succ(wzz56200)
new_primPlusNat1(Zero, Succ(wzz12500)) → Succ(wzz12500)
new_primPlusNat1(Succ(wzz56200), Succ(wzz12500)) → Succ(Succ(new_primPlusNat1(wzz56200, wzz12500)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Integer, ccd) → new_ltEs16(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Int, ccd) → new_ltEs12(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, ccf), ccg), cch), ccd) → new_ltEs5(wzz53000, wzz54000, ccf, ccg, cch)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_[], cdh)) → new_ltEs4(wzz53000, wzz54000, cdh)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Double, ccd) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_@2, ceg), ceh)) → new_ltEs7(wzz53000, wzz54000, ceg, ceh)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Float, ccd) → new_ltEs11(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Left(wzz54000), cdf, ccd) → False
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Bool, ccd) → new_ltEs17(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_[], cce), ccd) → new_ltEs4(wzz53000, wzz54000, cce)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_@2, cdd), cde), ccd) → new_ltEs7(wzz53000, wzz54000, cdd, cde)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Ratio, cef)) → new_ltEs6(wzz53000, wzz54000, cef)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_@0, ccd) → new_ltEs13(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(app(ty_@3, cea), ceb), cec)) → new_ltEs5(wzz53000, wzz54000, cea, ceb, cec)
new_ltEs14(Left(wzz53000), Right(wzz54000), cdf, ccd) → True
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Ratio, cdc), ccd) → new_ltEs6(wzz53000, wzz54000, cdc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Char, ccd) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Ordering, ccd) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Maybe, bef)) → new_ltEs9(wzz53000, wzz54000, bef)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Maybe, ccc), ccd) → new_ltEs9(wzz53000, wzz54000, ccc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_Either, ced), cee)) → new_ltEs14(wzz53000, wzz54000, ced, cee)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Maybe, cdg)) → new_ltEs9(wzz53000, wzz54000, cdg)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_Either, cda), cdb), ccd) → new_ltEs14(wzz53000, wzz54000, cda, cdb)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_Either, bfc), bfd)) → new_ltEs14(wzz53000, wzz54000, bfc, bfd)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs9(Nothing, Just(wzz54000), bee) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_[], beg)) → new_ltEs4(wzz53000, wzz54000, beg)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs5(wzz53000, wzz54000, beh, bfa, bfb)
new_ltEs9(Just(wzz53000), Nothing, bee) → False
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bff), bfg)) → new_ltEs7(wzz53000, wzz54000, bff, bfg)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Nothing, Nothing, bee) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Ratio, bfe)) → new_ltEs6(wzz53000, wzz54000, bfe)
new_ltEs6(wzz5300, wzz5400, bad) → new_fsEs(new_compare12(wzz5300, wzz5400, bad))
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Integer) → new_compare19(new_sr0(wzz53000, wzz54001), new_sr0(wzz54000, wzz53001))
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Int) → new_compare8(new_sr(wzz53000, wzz54001), new_sr(wzz54000, wzz53001))
new_sr0(Integer(wzz530000), Integer(wzz540010)) → Integer(new_primMulInt(wzz530000, wzz540010))
new_compare19(Integer(wzz53000), Integer(wzz54000)) → new_primCmpInt(wzz53000, wzz54000)
new_ltEs7(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bae, baf) → new_pePe(new_lt7(wzz53000, wzz54000, bae), new_asAs(new_esEs21(wzz53000, wzz54000, bae), new_ltEs8(wzz53001, wzz54001, baf)))
new_lt7(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_lt15(wzz53000, wzz54000, bbg, bbh)
new_lt7(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_lt13(wzz53000, wzz54000, bbf)
new_lt7(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_lt4(wzz53000, wzz54000, bag)
new_lt7(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_lt12(wzz53000, wzz54000, bbd, bbe)
new_lt7(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt10(wzz53000, wzz54000, bba, bbb, bbc)
new_lt7(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(ty_[], bah)) → new_lt6(wzz53000, wzz54000, bah)
new_esEs21(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_esEs6(wzz53000, wzz54000, bbd, bbe)
new_esEs21(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_esEs7(wzz53000, wzz54000, bbg, bbh)
new_esEs21(wzz53000, wzz54000, app(ty_[], bah)) → new_esEs14(wzz53000, wzz54000, bah)
new_esEs21(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_esEs15(wzz53000, wzz54000, bbf)
new_esEs21(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs5(wzz53000, wzz54000, bba, bbb, bbc)
new_esEs21(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_esEs4(wzz53000, wzz54000, bag)
new_esEs21(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_ltEs8(wzz53001, wzz54001, ty_Bool) → new_ltEs17(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs5(wzz53001, wzz54001, bcc, bcd, bce)
new_ltEs8(wzz53001, wzz54001, app(ty_[], bcb)) → new_ltEs4(wzz53001, wzz54001, bcb)
new_ltEs8(wzz53001, wzz54001, app(app(ty_@2, bda), bdb)) → new_ltEs7(wzz53001, wzz54001, bda, bdb)
new_ltEs8(wzz53001, wzz54001, app(app(ty_Either, bcf), bcg)) → new_ltEs14(wzz53001, wzz54001, bcf, bcg)
new_ltEs8(wzz53001, wzz54001, ty_Int) → new_ltEs12(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Ordering) → new_ltEs18(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_@0) → new_ltEs13(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Char) → new_ltEs10(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Maybe, bca)) → new_ltEs9(wzz53001, wzz54001, bca)
new_ltEs8(wzz53001, wzz54001, ty_Float) → new_ltEs11(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Ratio, bch)) → new_ltEs6(wzz53001, wzz54001, bch)
new_ltEs8(wzz53001, wzz54001, ty_Double) → new_ltEs15(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Integer) → new_ltEs16(wzz53001, wzz54001)
new_ltEs16(wzz5300, wzz5400) → new_fsEs(new_compare19(wzz5300, wzz5400))
new_ltEs11(wzz5300, wzz5400) → new_fsEs(new_compare14(wzz5300, wzz5400))
new_compare14(Float(wzz53000, wzz53001), Float(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs10(wzz5300, wzz5400) → new_fsEs(new_compare7(wzz5300, wzz5400))
new_compare7(Char(wzz53000), Char(wzz54000)) → new_primCmpNat0(wzz53000, wzz54000)
new_ltEs13(wzz5300, wzz5400) → new_fsEs(new_compare6(wzz5300, wzz5400))
new_compare6(@0, @0) → EQ
new_ltEs12(wzz5300, wzz5400) → new_fsEs(new_compare8(wzz5300, wzz5400))
new_ltEs17(False, False) → True
new_ltEs17(True, False) → False
new_ltEs17(True, True) → True
new_ltEs17(False, True) → True
new_esEs19(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_primEqNat0(Succ(wzz5000), Zero) → False
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_esEs8(LT, LT) → True
new_esEs8(GT, LT) → False
new_esEs8(EQ, EQ) → True
new_esEs8(LT, EQ) → False
new_esEs8(EQ, LT) → False
new_esEs8(GT, EQ) → False
new_esEs17(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs11(False, False) → True
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_esEs11(True, True) → True
new_esEs4(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs4(Nothing, Just(wzz4000), dga) → False
new_esEs4(Just(wzz500), Nothing, dga) → False
new_esEs4(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, dgd), dge), dgf)) → new_esEs5(wzz500, wzz4000, dgd, dge, dgf)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Ratio, dgc)) → new_esEs15(wzz500, wzz4000, dgc)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs4(Nothing, Nothing, dga) → True
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_[], dgb)) → new_esEs14(wzz500, wzz4000, dgb)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_@2, dhb), dhc)) → new_esEs7(wzz500, wzz4000, dhb, dhc)
new_esEs4(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Maybe, dgg)) → new_esEs4(wzz500, wzz4000, dgg)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_Either, dgh), dha)) → new_esEs6(wzz500, wzz4000, dgh, dha)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Maybe, dcc), dbe) → new_esEs4(wzz500, wzz4000, dcc)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Maybe, ddf)) → new_esEs4(wzz500, wzz4000, ddf)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_Either, dcd), dce), dbe) → new_esEs6(wzz500, wzz4000, dcd, dce)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_Either, ddg), ddh)) → new_esEs6(wzz500, wzz4000, ddg, ddh)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Integer, dbe) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Int, dbe) → new_esEs9(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Ratio, dbg), dbe) → new_esEs15(wzz500, wzz4000, dbg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_@2, dea), deb)) → new_esEs7(wzz500, wzz4000, dea, deb)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Bool, dbe) → new_esEs11(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Ratio, ddb)) → new_esEs15(wzz500, wzz4000, ddb)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Char, dbe) → new_esEs19(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs6(Right(wzz500), Left(wzz4000), dch, dbe) → False
new_esEs6(Left(wzz500), Right(wzz4000), dch, dbe) → False
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_[], dbf), dbe) → new_esEs14(wzz500, wzz4000, dbf)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, dbh), dca), dcb), dbe) → new_esEs5(wzz500, wzz4000, dbh, dca, dcb)
new_esEs6(Left(wzz500), Left(wzz4000), ty_@0, dbe) → new_esEs16(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_@2, dcf), dcg), dbe) → new_esEs7(wzz500, wzz4000, dcf, dcg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_[], dda)) → new_esEs14(wzz500, wzz4000, dda)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Ordering, dbe) → new_esEs8(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Double, dbe) → new_esEs10(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Float, dbe) → new_esEs18(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(wzz500, wzz4000, ddc, ddd, dde)
new_esEs18(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs9(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs10(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs14(:(wzz500, wzz501), :(wzz4000, wzz4001), ha) → new_asAs(new_esEs20(wzz500, wzz4000, ha), new_esEs14(wzz501, wzz4001, ha))
new_esEs14([], [], ha) → True
new_esEs14([], :(wzz4000, wzz4001), ha) → False
new_esEs14(:(wzz500, wzz501), [], ha) → False
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(ty_Maybe, hg)) → new_esEs4(wzz500, wzz4000, hg)
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(ty_Ratio, hc)) → new_esEs15(wzz500, wzz4000, hc)
new_esEs20(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(app(app(ty_@3, hd), he), hf)) → new_esEs5(wzz500, wzz4000, hd, he, hf)
new_esEs20(wzz500, wzz4000, app(app(ty_Either, hh), baa)) → new_esEs6(wzz500, wzz4000, hh, baa)
new_esEs20(wzz500, wzz4000, app(app(ty_@2, bab), bac)) → new_esEs7(wzz500, wzz4000, bab, bac)
new_esEs20(wzz500, wzz4000, app(ty_[], hb)) → new_esEs14(wzz500, wzz4000, hb)
new_esEs20(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs7(@2(wzz500, wzz501), @2(wzz4000, wzz4001), eb, ec) → new_asAs(new_esEs13(wzz500, wzz4000, eb), new_esEs12(wzz501, wzz4001, ec))
new_esEs13(wzz500, wzz4000, app(ty_[], fg)) → new_esEs14(wzz500, wzz4000, fg)
new_esEs13(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Maybe, gd)) → new_esEs4(wzz500, wzz4000, gd)
new_esEs13(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(app(app(ty_@3, ga), gb), gc)) → new_esEs5(wzz500, wzz4000, ga, gb, gc)
new_esEs13(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(app(ty_Either, ge), gf)) → new_esEs6(wzz500, wzz4000, ge, gf)
new_esEs13(wzz500, wzz4000, app(app(ty_@2, gg), gh)) → new_esEs7(wzz500, wzz4000, gg, gh)
new_esEs13(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Ratio, fh)) → new_esEs15(wzz500, wzz4000, fh)
new_esEs13(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs12(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_@2, fd), ff)) → new_esEs7(wzz501, wzz4001, fd, ff)
new_esEs12(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(app(ty_@3, ef), eg), eh)) → new_esEs5(wzz501, wzz4001, ef, eg, eh)
new_esEs12(wzz501, wzz4001, app(ty_Ratio, ee)) → new_esEs15(wzz501, wzz4001, ee)
new_esEs12(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_Either, fb), fc)) → new_esEs6(wzz501, wzz4001, fb, fc)
new_esEs12(wzz501, wzz4001, app(ty_Maybe, fa)) → new_esEs4(wzz501, wzz4001, fa)
new_esEs12(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(ty_[], ed)) → new_esEs14(wzz501, wzz4001, ed)
new_esEs12(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_esEs16(@0, @0) → True
new_esEs15(:%(wzz500, wzz501), :%(wzz4000, wzz4001), dhd) → new_asAs(new_esEs28(wzz500, wzz4000, dhd), new_esEs27(wzz501, wzz4001, dhd))
new_esEs28(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs28(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs27(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs27(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_lt6(wzz53000, wzz54000, cb) → new_esEs8(new_compare(wzz53000, wzz54000, cb), LT)
new_lt16(wzz53000, wzz54000) → new_esEs8(new_compare19(wzz53000, wzz54000), LT)
new_lt10(wzz53000, wzz54000, dg, dh, ea) → new_esEs8(new_compare10(wzz53000, wzz54000, dg, dh, ea), LT)
new_lt5(wzz53000, wzz54000) → new_esEs8(new_compare7(wzz53000, wzz54000), LT)
new_lt18(wzz53000, wzz54000) → new_esEs8(new_compare26(wzz53000, wzz54000), LT)
new_compare26(wzz53000, wzz54000) → new_compare210(wzz53000, wzz54000, new_esEs8(wzz53000, wzz54000))
new_compare210(wzz53000, wzz54000, False) → new_compare13(wzz53000, wzz54000, new_ltEs18(wzz53000, wzz54000))
new_compare210(wzz53000, wzz54000, True) → EQ
new_compare13(wzz53000, wzz54000, False) → GT
new_compare13(wzz53000, wzz54000, True) → LT
new_lt12(wzz53000, wzz54000, cfd, cfe) → new_esEs8(new_compare16(wzz53000, wzz54000, cfd, cfe), LT)
new_compare16(wzz53000, wzz54000, cfd, cfe) → new_compare29(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, cfd, cfe), cfd, cfe)
new_compare29(Left(wzz5300), Right(wzz5400), False, dee, def) → LT
new_compare29(Right(wzz5300), Left(wzz5400), False, dee, def) → GT
new_compare29(Left(wzz5300), Left(wzz5400), False, dee, def) → new_compare114(wzz5300, wzz5400, new_ltEs20(wzz5300, wzz5400, dee), dee, def)
new_ltEs20(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(app(ty_@2, bae), baf)) → new_ltEs7(wzz5300, wzz5400, bae, baf)
new_ltEs20(wzz5300, wzz5400, app(ty_Maybe, bee)) → new_ltEs9(wzz5300, wzz5400, bee)
new_ltEs20(wzz5300, wzz5400, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs5(wzz5300, wzz5400, cfa, cfb, cfc)
new_ltEs20(wzz5300, wzz5400, app(ty_[], cc)) → new_ltEs4(wzz5300, wzz5400, cc)
new_ltEs20(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(app(ty_Either, cdf), ccd)) → new_ltEs14(wzz5300, wzz5400, cdf, ccd)
new_ltEs20(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(ty_Ratio, bad)) → new_ltEs6(wzz5300, wzz5400, bad)
new_ltEs20(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_compare114(wzz161, wzz162, True, eag, eah) → LT
new_compare114(wzz161, wzz162, False, eag, eah) → GT
new_lt17(wzz53000, wzz54000) → new_esEs8(new_compare9(wzz53000, wzz54000), LT)
new_compare9(wzz53000, wzz54000) → new_compare24(wzz53000, wzz54000, new_esEs11(wzz53000, wzz54000))
new_compare24(wzz53000, wzz54000, True) → EQ
new_compare24(wzz53000, wzz54000, False) → new_compare111(wzz53000, wzz54000, new_ltEs17(wzz53000, wzz54000))
new_compare111(wzz53000, wzz54000, False) → GT
new_compare111(wzz53000, wzz54000, True) → LT
new_lt11(wzz53000, wzz54000) → new_esEs8(new_compare6(wzz53000, wzz54000), LT)
new_lt4(wzz53000, wzz54000, ca) → new_esEs8(new_compare5(wzz53000, wzz54000, ca), LT)
new_compare5(wzz53000, wzz54000, ca) → new_compare27(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, ca), ca)
new_compare27(wzz53000, wzz54000, False, ca) → new_compare110(wzz53000, wzz54000, new_ltEs9(wzz53000, wzz54000, ca), ca)
new_compare27(wzz53000, wzz54000, True, ca) → EQ
new_compare110(wzz53000, wzz54000, True, ca) → LT
new_compare110(wzz53000, wzz54000, False, ca) → GT
new_lt14(wzz53000, wzz54000) → new_esEs8(new_compare17(wzz53000, wzz54000), LT)
new_lt9(wzz530, wzz540) → new_esEs8(new_compare8(wzz530, wzz540), LT)
new_lt8(wzz53000, wzz54000) → new_esEs8(new_compare14(wzz53000, wzz54000), LT)
new_lt13(wzz53000, wzz54000, cff) → new_esEs8(new_compare12(wzz53000, wzz54000, cff), LT)
new_lt15(wzz53000, wzz54000, cca, ccb) → new_esEs8(new_compare18(wzz53000, wzz54000, cca, ccb), LT)
new_compare18(wzz53000, wzz54000, cca, ccb) → new_compare28(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_compare28(wzz53000, wzz54000, True, cca, ccb) → EQ
new_compare28(wzz53000, wzz54000, False, cca, ccb) → new_compare112(wzz53000, wzz54000, new_ltEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_compare112(wzz53000, wzz54000, False, cca, ccb) → GT
new_compare112(wzz53000, wzz54000, True, cca, ccb) → LT
new_esEs24(wzz500, wzz4000, app(ty_Ratio, cah)) → new_esEs15(wzz500, wzz4000, cah)
new_esEs24(wzz500, wzz4000, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs5(wzz500, wzz4000, cba, cbb, cbc)
new_esEs24(wzz500, wzz4000, app(ty_Maybe, cbd)) → new_esEs4(wzz500, wzz4000, cbd)
new_esEs24(wzz500, wzz4000, app(app(ty_@2, cbg), cbh)) → new_esEs7(wzz500, wzz4000, cbg, cbh)
new_esEs24(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, app(app(ty_Either, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs24(wzz500, wzz4000, app(ty_[], cag)) → new_esEs14(wzz500, wzz4000, cag)
new_esEs24(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(ty_Maybe, cab)) → new_esEs4(wzz501, wzz4001, cab)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, cac), cad)) → new_esEs6(wzz501, wzz4001, cac, cad)
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(ty_[], bhe)) → new_esEs14(wzz501, wzz4001, bhe)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bhf)) → new_esEs15(wzz501, wzz4001, bhf)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cae), caf)) → new_esEs7(wzz501, wzz4001, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(wzz501, wzz4001, bhg, bhh, caa)
new_esEs22(wzz502, wzz4002, app(ty_[], bgc)) → new_esEs14(wzz502, wzz4002, bgc)
new_esEs22(wzz502, wzz4002, ty_Ordering) → new_esEs8(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(app(ty_@2, bhc), bhd)) → new_esEs7(wzz502, wzz4002, bhc, bhd)
new_esEs22(wzz502, wzz4002, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs5(wzz502, wzz4002, bge, bgf, bgg)
new_esEs22(wzz502, wzz4002, app(ty_Maybe, bgh)) → new_esEs4(wzz502, wzz4002, bgh)
new_esEs22(wzz502, wzz4002, ty_Double) → new_esEs10(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_@0) → new_esEs16(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Float) → new_esEs18(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Bool) → new_esEs11(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(ty_Ratio, bgd)) → new_esEs15(wzz502, wzz4002, bgd)
new_esEs22(wzz502, wzz4002, ty_Int) → new_esEs9(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Char) → new_esEs19(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(app(ty_Either, bha), bhb)) → new_esEs6(wzz502, wzz4002, bha, bhb)
new_esEs22(wzz502, wzz4002, ty_Integer) → new_esEs17(wzz502, wzz4002)
new_esEs31(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_esEs31(wzz50, wzz400, app(ty_[], dac)) → new_esEs14(wzz50, wzz400, dac)
new_esEs31(wzz50, wzz400, app(app(app(ty_@3, dae), daf), dag)) → new_esEs5(wzz50, wzz400, dae, daf, dag)
new_esEs31(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_esEs31(wzz50, wzz400, app(ty_Ratio, dad)) → new_esEs15(wzz50, wzz400, dad)
new_esEs31(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_esEs31(wzz50, wzz400, app(app(ty_Either, dba), dbb)) → new_esEs6(wzz50, wzz400, dba, dbb)
new_esEs31(wzz50, wzz400, app(ty_Maybe, dah)) → new_esEs4(wzz50, wzz400, dah)
new_esEs31(wzz50, wzz400, app(app(ty_@2, dbc), dbd)) → new_esEs7(wzz50, wzz400, dbc, dbd)

The set Q consists of the following terms:

new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare15(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_primEqNat0(Succ(x0), Zero)
new_ltEs8(x0, x1, ty_Double)
new_compare(:(x0, x1), [], x2)
new_ltEs9(Just(x0), Just(x1), app(ty_[], x2))
new_compare([], :(x0, x1), x2)
new_esEs11(True, True)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Float)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Float)
new_esEs12(x0, x1, ty_Int)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_primEqNat0(Zero, Succ(x0))
new_lt7(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, ty_Bool)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_esEs18(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Float)
new_compare15(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Int)
new_compare110(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, ty_Double)
new_esEs8(GT, GT)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_compare25(x0, x1, False, x2, x3, x4)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Nothing, x1)
new_esEs29(x0, x1, ty_Float)
new_lt19(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs8(LT, LT)
new_ltEs9(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_compare25(x0, x1, True, x2, x3, x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs16(@0, @0)
new_compare114(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs31(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Char)
new_compare15(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Double)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Double)
new_lt7(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_compare9(x0, x1)
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare24(x0, x1, False)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs13(x0, x1, ty_Int)
new_ltEs17(False, False)
new_ltEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_@0)
new_ltEs8(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Float)
new_ltEs18(GT, LT)
new_ltEs18(LT, GT)
new_compare210(x0, x1, False)
new_esEs27(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_@0)
new_ltEs8(x0, x1, ty_Integer)
new_lt13(x0, x1, x2)
new_ltEs10(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Bool)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Bool)
new_compare11(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare16(x0, x1, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(x0, x1)
new_ltEs9(Just(x0), Just(x1), ty_Char)
new_esEs23(x0, x1, ty_Double)
new_asAs(False, x0)
new_ltEs16(x0, x1)
new_primMulNat0(Zero, Zero)
new_compare29(Left(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Bool)
new_ltEs18(EQ, LT)
new_ltEs18(LT, EQ)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Integer)
new_compare([], [], x0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs8(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs29(x0, x1, ty_Char)
new_lt19(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Ordering)
new_lt14(x0, x1)
new_compare10(x0, x1, x2, x3, x4)
new_ltEs17(True, True)
new_esEs21(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs25(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_compare29(Right(x0), Left(x1), False, x2, x3)
new_compare29(Left(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_compare17(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, ty_Ordering)
new_ltEs8(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs31(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt15(x0, x1, x2, x3)
new_lt19(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Int)
new_ltEs9(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare28(x0, x1, False, x2, x3)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare8(x0, x1)
new_esEs11(False, False)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs13(x0, x1, app(ty_[], x2))
new_compare27(x0, x1, True, x2)
new_esEs23(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_lt17(x0, x1)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1)
new_esEs24(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_Int)
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_esEs21(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_esEs13(x0, x1, ty_Ordering)
new_pePe(False, x0)
new_lt19(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs14([], :(x0, x1), x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare15(x0, x1, app(ty_[], x2))
new_primPlusNat1(Zero, Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs31(x0, x1, ty_Int)
new_pePe(True, x0)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3, x4)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, x2)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Char)
new_ltEs9(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, ty_Ordering)
new_compare112(x0, x1, True, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_lt7(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs26(x0, x1, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, ty_Integer)
new_primCompAux00(x0, GT)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs9(Nothing, Just(x0), x1)
new_lt19(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_sr0(Integer(x0), Integer(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt10(x0, x1, x2, x3, x4)
new_compare27(x0, x1, False, x2)
new_compare29(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs9(Just(x0), Just(x1), ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs9(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs15(:%(x0, x1), :%(x2, x3), x4)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs12(x0, x1, app(ty_[], x2))
new_compare15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs29(x0, x1, ty_@0)
new_esEs12(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_fsEs(x0)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_lt7(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, x2, x3)
new_ltEs9(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs9(Just(x0), Just(x1), ty_@0)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs20(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt5(x0, x1)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs8(EQ, EQ)
new_esEs12(x0, x1, ty_@0)
new_ltEs12(x0, x1)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs9(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs14([], [], x0)
new_esEs28(x0, x1, ty_Integer)
new_primPlusNat0(Succ(x0), x1)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_sr(x0, x1)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs11(x0, x1)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, False, x2, x3)
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, ty_Double)
new_ltEs18(LT, LT)
new_ltEs20(x0, x1, ty_Int)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs24(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Just(x0), x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs20(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs8(x0, x1, ty_Char)
new_compare18(x0, x1, x2, x3)
new_compare210(x0, x1, True)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_compare13(x0, x1, False)
new_compare6(@0, @0)
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_compare29(Right(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, ty_Integer)
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_ltEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_primMulNat0(Succ(x0), Succ(x1))
new_compare113(x0, x1, True, x2, x3)
new_ltEs18(EQ, GT)
new_ltEs18(GT, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Zero, Zero)
new_ltEs8(x0, x1, ty_Bool)
new_esEs14(:(x0, x1), [], x2)
new_esEs21(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_compare15(x0, x1, ty_Float)
new_ltEs8(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs9(Nothing, Nothing, x0)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_ltEs9(Just(x0), Just(x1), ty_Double)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_ltEs9(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_compare28(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare114(x0, x1, True, x2, x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False)
new_ltEs8(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_asAs(True, x0)
new_lt4(x0, x1, x2)
new_esEs28(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare112(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs4(Nothing, Nothing, x0)
new_compare15(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_@0)
new_ltEs9(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs13(x0, x1, ty_@0)
new_esEs20(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs18(EQ, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare15(x0, x1, ty_Char)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_not(True)
new_esEs24(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_compare110(x0, x1, True, x2)
new_esEs26(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare24(x0, x1, True)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt7(x0, x1, ty_Bool)
new_not(False)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Integer)
new_esEs19(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Int)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_lt18(x0, x1)
new_ltEs17(False, True)
new_ltEs17(True, False)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare26(x0, x1)
new_compare15(x0, x1, ty_Double)
new_compare19(Integer(x0), Integer(x1))
new_esEs25(x0, x1, ty_Int)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Ordering)
new_lt9(x0, x1)
new_compare15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_Integer)
new_compare5(x0, x1, x2)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_primCompAux0(x0, x1, x2, x3)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Bool)
new_ltEs18(GT, GT)
new_esEs32(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Ordering)
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs10(Double(x0, x1), Double(x2, x3))
new_primPlusNat0(Zero, x0)
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Float)
new_esEs17(Integer(x0), Integer(x1))
new_lt7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, EQ)
new_esEs25(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Float)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs13(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs26(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Bool)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_lt7(x0, x1, ty_Char)
new_compare(:(x0, x1), :(x2, x3), x4)
new_esEs21(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_lt20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Bool)
new_compare14(Float(x0, x1), Float(x2, x3))
new_lt8(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs9(Just(x0), Just(x1), ty_Float)
new_esEs32(x0, x1, ty_Float)
new_compare15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(Char(x0), Char(x1))
new_ltEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Bool)
new_lt7(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))

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



↳ HASKELL
  ↳ 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

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

new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, bc, bd, be) → new_addToFM_C11(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Left(wzz400), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(wzz3, Branch(Left(wzz400), wzz41, wzz42, wzz43, wzz44), Right(wzz50), wzz6, bc, bd, be) → new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Left(wzz400), False, bc, bd), LT), bc, bd, be)
new_addToFM_C22(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, False, bf, bg, bh) → new_addToFM_C12(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, new_esEs8(new_compare29(Right(wzz42), Right(wzz37), new_esEs32(wzz42, wzz37, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C11(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz44, Right(wzz50), wzz6, bc, bd, be)
new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz43, Right(wzz50), wzz6, bc, bd, be)
new_addToFM_C(wzz3, Branch(Right(wzz400), wzz41, wzz42, wzz43, wzz44), Right(wzz50), wzz6, bc, bd, be) → new_addToFM_C22(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Right(wzz50), Right(wzz400), new_esEs31(wzz50, wzz400, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C22(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, True, bf, bg, bh) → new_addToFM_C(wzz36, wzz40, Right(wzz42), wzz43, bf, bg, bh)
new_addToFM_C12(wzz36, wzz37, wzz38, wzz39, wzz40, wzz41, wzz42, wzz43, True, bf, bg, bh) → new_addToFM_C(wzz36, wzz41, Right(wzz42), wzz43, bf, bg, bh)

The TRS R consists of the following rules:

new_esEs32(wzz42, wzz37, ty_Integer) → new_esEs17(wzz42, wzz37)
new_esEs32(wzz42, wzz37, app(ty_[], cd)) → new_esEs14(wzz42, wzz37, cd)
new_esEs32(wzz42, wzz37, app(ty_Maybe, db)) → new_esEs4(wzz42, wzz37, db)
new_esEs32(wzz42, wzz37, ty_Int) → new_esEs9(wzz42, wzz37)
new_esEs32(wzz42, wzz37, app(app(ty_@2, de), df)) → new_esEs7(wzz42, wzz37, de, df)
new_esEs32(wzz42, wzz37, app(app(app(ty_@3, cf), cg), da)) → new_esEs5(wzz42, wzz37, cf, cg, da)
new_esEs32(wzz42, wzz37, ty_Double) → new_esEs10(wzz42, wzz37)
new_esEs32(wzz42, wzz37, ty_@0) → new_esEs16(wzz42, wzz37)
new_esEs32(wzz42, wzz37, ty_Ordering) → new_esEs8(wzz42, wzz37)
new_esEs32(wzz42, wzz37, ty_Float) → new_esEs18(wzz42, wzz37)
new_esEs32(wzz42, wzz37, ty_Bool) → new_esEs11(wzz42, wzz37)
new_esEs32(wzz42, wzz37, app(ty_Ratio, ce)) → new_esEs15(wzz42, wzz37, ce)
new_esEs32(wzz42, wzz37, app(app(ty_Either, dc), dd)) → new_esEs6(wzz42, wzz37, dc, dd)
new_esEs32(wzz42, wzz37, ty_Char) → new_esEs19(wzz42, wzz37)
new_compare29(wzz530, wzz540, True, dee, def) → EQ
new_compare29(Right(wzz5300), Right(wzz5400), False, dee, def) → new_compare113(wzz5300, wzz5400, new_ltEs21(wzz5300, wzz5400, def), dee, def)
new_esEs8(GT, GT) → True
new_esEs8(LT, GT) → False
new_esEs8(EQ, GT) → False
new_ltEs21(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_Maybe, deg)) → new_ltEs9(wzz5300, wzz5400, deg)
new_ltEs21(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_Ratio, dff)) → new_ltEs6(wzz5300, wzz5400, dff)
new_ltEs21(wzz5300, wzz5400, app(app(ty_Either, dfd), dfe)) → new_ltEs14(wzz5300, wzz5400, dfd, dfe)
new_ltEs21(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(app(ty_@2, dfg), dfh)) → new_ltEs7(wzz5300, wzz5400, dfg, dfh)
new_ltEs21(wzz5300, wzz5400, app(app(app(ty_@3, dfa), dfb), dfc)) → new_ltEs5(wzz5300, wzz5400, dfa, dfb, dfc)
new_ltEs21(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_[], deh)) → new_ltEs4(wzz5300, wzz5400, deh)
new_compare113(wzz168, wzz169, True, dec, ded) → LT
new_compare113(wzz168, wzz169, False, dec, ded) → GT
new_ltEs4(wzz5300, wzz5400, cc) → new_fsEs(new_compare(wzz5300, wzz5400, cc))
new_compare([], :(wzz54000, wzz54001), cc) → LT
new_compare(:(wzz53000, wzz53001), [], cc) → GT
new_compare([], [], cc) → EQ
new_compare(:(wzz53000, wzz53001), :(wzz54000, wzz54001), cc) → new_primCompAux0(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, cc), cc)
new_fsEs(wzz171) → new_not(new_esEs8(wzz171, GT))
new_not(False) → True
new_not(True) → False
new_primCompAux0(wzz53000, wzz54000, wzz189, cc) → new_primCompAux00(wzz189, new_compare15(wzz53000, wzz54000, cc))
new_compare15(wzz53000, wzz54000, app(app(ty_Either, bdh), bea)) → new_compare16(wzz53000, wzz54000, bdh, bea)
new_compare15(wzz53000, wzz54000, ty_Float) → new_compare14(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Int) → new_compare8(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_[], bdd)) → new_compare(wzz53000, wzz54000, bdd)
new_compare15(wzz53000, wzz54000, ty_@0) → new_compare6(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(app(ty_@2, bec), bed)) → new_compare18(wzz53000, wzz54000, bec, bed)
new_compare15(wzz53000, wzz54000, ty_Char) → new_compare7(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_Ratio, beb)) → new_compare12(wzz53000, wzz54000, beb)
new_compare15(wzz53000, wzz54000, ty_Integer) → new_compare19(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_Maybe, bdc)) → new_compare5(wzz53000, wzz54000, bdc)
new_compare15(wzz53000, wzz54000, ty_Bool) → new_compare9(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Ordering) → new_compare26(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Double) → new_compare17(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare10(wzz53000, wzz54000, bde, bdf, bdg)
new_primCompAux00(wzz202, LT) → LT
new_primCompAux00(wzz202, EQ) → wzz202
new_primCompAux00(wzz202, GT) → GT
new_compare10(wzz53000, wzz54000, dg, dh, ea) → new_compare25(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs5(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bfh, bga, bgb) → new_asAs(new_esEs24(wzz500, wzz4000, bfh), new_asAs(new_esEs23(wzz501, wzz4001, bga), new_esEs22(wzz502, wzz4002, bgb)))
new_compare25(wzz53000, wzz54000, True, dg, dh, ea) → EQ
new_compare25(wzz53000, wzz54000, False, dg, dh, ea) → new_compare11(wzz53000, wzz54000, new_ltEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_ltEs5(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), cfa, cfb, cfc) → new_pePe(new_lt19(wzz53000, wzz54000, cfa), new_asAs(new_esEs26(wzz53000, wzz54000, cfa), new_pePe(new_lt20(wzz53001, wzz54001, cfb), new_asAs(new_esEs25(wzz53001, wzz54001, cfb), new_ltEs19(wzz53002, wzz54002, cfc)))))
new_compare11(wzz53000, wzz54000, False, dg, dh, ea) → GT
new_compare11(wzz53000, wzz54000, True, dg, dh, ea) → LT
new_lt19(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(ty_[], cb)) → new_lt6(wzz53000, wzz54000, cb)
new_lt19(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_lt13(wzz53000, wzz54000, cff)
new_lt19(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_lt15(wzz53000, wzz54000, cca, ccb)
new_lt19(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_lt12(wzz53000, wzz54000, cfd, cfe)
new_lt19(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_lt10(wzz53000, wzz54000, dg, dh, ea)
new_lt19(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_lt4(wzz53000, wzz54000, ca)
new_lt19(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_esEs15(wzz53000, wzz54000, cff)
new_esEs26(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_esEs4(wzz53000, wzz54000, ca)
new_esEs26(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_[], cb)) → new_esEs14(wzz53000, wzz54000, cb)
new_esEs26(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_esEs7(wzz53000, wzz54000, cca, ccb)
new_esEs26(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_esEs6(wzz53000, wzz54000, cfd, cfe)
new_esEs26(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_esEs5(wzz53000, wzz54000, dg, dh, ea)
new_lt20(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_lt12(wzz53001, wzz54001, cgd, cge)
new_lt20(wzz53001, wzz54001, app(ty_[], cfh)) → new_lt6(wzz53001, wzz54001, cfh)
new_lt20(wzz53001, wzz54001, ty_Double) → new_lt14(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Integer) → new_lt16(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_lt10(wzz53001, wzz54001, cga, cgb, cgc)
new_lt20(wzz53001, wzz54001, ty_Ordering) → new_lt18(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_lt15(wzz53001, wzz54001, cgg, cgh)
new_lt20(wzz53001, wzz54001, ty_Float) → new_lt8(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Char) → new_lt5(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Bool) → new_lt17(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_@0) → new_lt11(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Int) → new_lt9(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_lt13(wzz53001, wzz54001, cgf)
new_lt20(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_lt4(wzz53001, wzz54001, cfg)
new_esEs25(wzz53001, wzz54001, app(ty_[], cfh)) → new_esEs14(wzz53001, wzz54001, cfh)
new_esEs25(wzz53001, wzz54001, ty_Char) → new_esEs19(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_esEs6(wzz53001, wzz54001, cgd, cge)
new_esEs25(wzz53001, wzz54001, ty_Integer) → new_esEs17(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_esEs7(wzz53001, wzz54001, cgg, cgh)
new_esEs25(wzz53001, wzz54001, ty_Ordering) → new_esEs8(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Bool) → new_esEs11(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_esEs15(wzz53001, wzz54001, cgf)
new_esEs25(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_esEs4(wzz53001, wzz54001, cfg)
new_esEs25(wzz53001, wzz54001, ty_Int) → new_esEs9(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Float) → new_esEs18(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Double) → new_esEs10(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_@0) → new_esEs16(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs5(wzz53001, wzz54001, cga, cgb, cgc)
new_ltEs19(wzz53002, wzz54002, ty_Integer) → new_ltEs16(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Float) → new_ltEs11(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_@0) → new_ltEs13(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(ty_[], chb)) → new_ltEs4(wzz53002, wzz54002, chb)
new_ltEs19(wzz53002, wzz54002, ty_Char) → new_ltEs10(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(ty_Maybe, cha)) → new_ltEs9(wzz53002, wzz54002, cha)
new_ltEs19(wzz53002, wzz54002, app(ty_Ratio, chh)) → new_ltEs6(wzz53002, wzz54002, chh)
new_ltEs19(wzz53002, wzz54002, ty_Int) → new_ltEs12(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Bool) → new_ltEs17(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(app(ty_@2, daa), dab)) → new_ltEs7(wzz53002, wzz54002, daa, dab)
new_ltEs19(wzz53002, wzz54002, app(app(ty_Either, chf), chg)) → new_ltEs14(wzz53002, wzz54002, chf, chg)
new_ltEs19(wzz53002, wzz54002, app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(wzz53002, wzz54002, chc, chd, che)
new_ltEs19(wzz53002, wzz54002, ty_Double) → new_ltEs15(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Ordering) → new_ltEs18(wzz53002, wzz54002)
new_asAs(False, wzz156) → False
new_asAs(True, wzz156) → wzz156
new_pePe(False, wzz188) → wzz188
new_pePe(True, wzz188) → True
new_ltEs18(EQ, GT) → True
new_ltEs18(EQ, EQ) → True
new_ltEs18(LT, LT) → True
new_ltEs18(GT, GT) → True
new_ltEs18(LT, GT) → True
new_ltEs18(GT, LT) → False
new_ltEs18(GT, EQ) → False
new_ltEs18(EQ, LT) → False
new_ltEs18(LT, EQ) → True
new_ltEs15(wzz5300, wzz5400) → new_fsEs(new_compare17(wzz5300, wzz5400))
new_compare17(Double(wzz53000, wzz53001), Double(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_sr(wzz501, wzz4001) → new_primMulInt(wzz501, wzz4001)
new_compare8(wzz53, wzz54) → new_primCmpInt(wzz53, wzz54)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz5300)), Neg(wzz540)) → new_primCmpNat0(wzz540, Succ(wzz5300))
new_primCmpInt(Neg(Zero), Pos(Succ(wzz5400))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(wzz5400))) → new_primCmpNat0(Zero, Succ(wzz5400))
new_primCmpInt(Pos(Succ(wzz5300)), Pos(wzz540)) → new_primCmpNat0(Succ(wzz5300), wzz540)
new_primCmpInt(Pos(Succ(wzz5300)), Neg(wzz540)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(wzz5400))) → new_primCmpNat0(Succ(wzz5400), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz5400))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz5300)), Pos(wzz540)) → LT
new_primCmpNat0(Succ(wzz5300), Zero) → GT
new_primCmpNat0(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat0(wzz5300, wzz5400)
new_primCmpNat0(Zero, Succ(wzz5400)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_primMulInt(Pos(wzz5010), Pos(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Neg(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Pos(wzz5010), Neg(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Pos(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(wzz50100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz400100)) → Zero
new_primMulNat0(Succ(wzz50100), Succ(wzz400100)) → new_primPlusNat0(new_primMulNat0(wzz50100, Succ(wzz400100)), wzz400100)
new_primPlusNat0(Succ(wzz1340), wzz400100) → Succ(Succ(new_primPlusNat1(wzz1340, wzz400100)))
new_primPlusNat0(Zero, wzz400100) → Succ(wzz400100)
new_primPlusNat1(Succ(wzz56200), Zero) → Succ(wzz56200)
new_primPlusNat1(Zero, Succ(wzz12500)) → Succ(wzz12500)
new_primPlusNat1(Succ(wzz56200), Succ(wzz12500)) → Succ(Succ(new_primPlusNat1(wzz56200, wzz12500)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Integer, ccd) → new_ltEs16(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Int, ccd) → new_ltEs12(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, ccf), ccg), cch), ccd) → new_ltEs5(wzz53000, wzz54000, ccf, ccg, cch)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_[], cdh)) → new_ltEs4(wzz53000, wzz54000, cdh)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Double, ccd) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_@2, ceg), ceh)) → new_ltEs7(wzz53000, wzz54000, ceg, ceh)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Float, ccd) → new_ltEs11(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Left(wzz54000), cdf, ccd) → False
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Bool, ccd) → new_ltEs17(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_[], cce), ccd) → new_ltEs4(wzz53000, wzz54000, cce)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_@2, cdd), cde), ccd) → new_ltEs7(wzz53000, wzz54000, cdd, cde)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Ratio, cef)) → new_ltEs6(wzz53000, wzz54000, cef)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_@0, ccd) → new_ltEs13(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(app(ty_@3, cea), ceb), cec)) → new_ltEs5(wzz53000, wzz54000, cea, ceb, cec)
new_ltEs14(Left(wzz53000), Right(wzz54000), cdf, ccd) → True
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Ratio, cdc), ccd) → new_ltEs6(wzz53000, wzz54000, cdc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Char, ccd) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Ordering, ccd) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Maybe, bef)) → new_ltEs9(wzz53000, wzz54000, bef)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Maybe, ccc), ccd) → new_ltEs9(wzz53000, wzz54000, ccc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_Either, ced), cee)) → new_ltEs14(wzz53000, wzz54000, ced, cee)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Maybe, cdg)) → new_ltEs9(wzz53000, wzz54000, cdg)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_Either, cda), cdb), ccd) → new_ltEs14(wzz53000, wzz54000, cda, cdb)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_Either, bfc), bfd)) → new_ltEs14(wzz53000, wzz54000, bfc, bfd)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs9(Nothing, Just(wzz54000), bee) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_[], beg)) → new_ltEs4(wzz53000, wzz54000, beg)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs5(wzz53000, wzz54000, beh, bfa, bfb)
new_ltEs9(Just(wzz53000), Nothing, bee) → False
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bff), bfg)) → new_ltEs7(wzz53000, wzz54000, bff, bfg)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Nothing, Nothing, bee) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Ratio, bfe)) → new_ltEs6(wzz53000, wzz54000, bfe)
new_ltEs6(wzz5300, wzz5400, bad) → new_fsEs(new_compare12(wzz5300, wzz5400, bad))
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Integer) → new_compare19(new_sr0(wzz53000, wzz54001), new_sr0(wzz54000, wzz53001))
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Int) → new_compare8(new_sr(wzz53000, wzz54001), new_sr(wzz54000, wzz53001))
new_sr0(Integer(wzz530000), Integer(wzz540010)) → Integer(new_primMulInt(wzz530000, wzz540010))
new_compare19(Integer(wzz53000), Integer(wzz54000)) → new_primCmpInt(wzz53000, wzz54000)
new_ltEs7(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bae, baf) → new_pePe(new_lt7(wzz53000, wzz54000, bae), new_asAs(new_esEs21(wzz53000, wzz54000, bae), new_ltEs8(wzz53001, wzz54001, baf)))
new_lt7(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_lt15(wzz53000, wzz54000, bbg, bbh)
new_lt7(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_lt13(wzz53000, wzz54000, bbf)
new_lt7(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_lt4(wzz53000, wzz54000, bag)
new_lt7(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_lt12(wzz53000, wzz54000, bbd, bbe)
new_lt7(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt10(wzz53000, wzz54000, bba, bbb, bbc)
new_lt7(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(ty_[], bah)) → new_lt6(wzz53000, wzz54000, bah)
new_esEs21(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_esEs6(wzz53000, wzz54000, bbd, bbe)
new_esEs21(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_esEs7(wzz53000, wzz54000, bbg, bbh)
new_esEs21(wzz53000, wzz54000, app(ty_[], bah)) → new_esEs14(wzz53000, wzz54000, bah)
new_esEs21(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_esEs15(wzz53000, wzz54000, bbf)
new_esEs21(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs5(wzz53000, wzz54000, bba, bbb, bbc)
new_esEs21(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_esEs4(wzz53000, wzz54000, bag)
new_esEs21(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_ltEs8(wzz53001, wzz54001, ty_Bool) → new_ltEs17(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs5(wzz53001, wzz54001, bcc, bcd, bce)
new_ltEs8(wzz53001, wzz54001, app(ty_[], bcb)) → new_ltEs4(wzz53001, wzz54001, bcb)
new_ltEs8(wzz53001, wzz54001, app(app(ty_@2, bda), bdb)) → new_ltEs7(wzz53001, wzz54001, bda, bdb)
new_ltEs8(wzz53001, wzz54001, app(app(ty_Either, bcf), bcg)) → new_ltEs14(wzz53001, wzz54001, bcf, bcg)
new_ltEs8(wzz53001, wzz54001, ty_Int) → new_ltEs12(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Ordering) → new_ltEs18(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_@0) → new_ltEs13(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Char) → new_ltEs10(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Maybe, bca)) → new_ltEs9(wzz53001, wzz54001, bca)
new_ltEs8(wzz53001, wzz54001, ty_Float) → new_ltEs11(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Ratio, bch)) → new_ltEs6(wzz53001, wzz54001, bch)
new_ltEs8(wzz53001, wzz54001, ty_Double) → new_ltEs15(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Integer) → new_ltEs16(wzz53001, wzz54001)
new_ltEs16(wzz5300, wzz5400) → new_fsEs(new_compare19(wzz5300, wzz5400))
new_ltEs11(wzz5300, wzz5400) → new_fsEs(new_compare14(wzz5300, wzz5400))
new_compare14(Float(wzz53000, wzz53001), Float(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs10(wzz5300, wzz5400) → new_fsEs(new_compare7(wzz5300, wzz5400))
new_compare7(Char(wzz53000), Char(wzz54000)) → new_primCmpNat0(wzz53000, wzz54000)
new_ltEs13(wzz5300, wzz5400) → new_fsEs(new_compare6(wzz5300, wzz5400))
new_compare6(@0, @0) → EQ
new_ltEs12(wzz5300, wzz5400) → new_fsEs(new_compare8(wzz5300, wzz5400))
new_ltEs17(False, False) → True
new_ltEs17(True, False) → False
new_ltEs17(True, True) → True
new_ltEs17(False, True) → True
new_esEs19(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_primEqNat0(Succ(wzz5000), Zero) → False
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_esEs8(LT, LT) → True
new_esEs8(GT, LT) → False
new_esEs8(EQ, EQ) → True
new_esEs8(LT, EQ) → False
new_esEs8(EQ, LT) → False
new_esEs8(GT, EQ) → False
new_esEs17(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs11(False, False) → True
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_esEs11(True, True) → True
new_esEs4(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs4(Nothing, Just(wzz4000), dga) → False
new_esEs4(Just(wzz500), Nothing, dga) → False
new_esEs4(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, dgd), dge), dgf)) → new_esEs5(wzz500, wzz4000, dgd, dge, dgf)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Ratio, dgc)) → new_esEs15(wzz500, wzz4000, dgc)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs4(Nothing, Nothing, dga) → True
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_[], dgb)) → new_esEs14(wzz500, wzz4000, dgb)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_@2, dhb), dhc)) → new_esEs7(wzz500, wzz4000, dhb, dhc)
new_esEs4(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Maybe, dgg)) → new_esEs4(wzz500, wzz4000, dgg)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_Either, dgh), dha)) → new_esEs6(wzz500, wzz4000, dgh, dha)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Maybe, dcc), dbe) → new_esEs4(wzz500, wzz4000, dcc)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Maybe, ddf)) → new_esEs4(wzz500, wzz4000, ddf)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_Either, dcd), dce), dbe) → new_esEs6(wzz500, wzz4000, dcd, dce)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_Either, ddg), ddh)) → new_esEs6(wzz500, wzz4000, ddg, ddh)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Integer, dbe) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Int, dbe) → new_esEs9(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Ratio, dbg), dbe) → new_esEs15(wzz500, wzz4000, dbg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_@2, dea), deb)) → new_esEs7(wzz500, wzz4000, dea, deb)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Bool, dbe) → new_esEs11(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Ratio, ddb)) → new_esEs15(wzz500, wzz4000, ddb)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Char, dbe) → new_esEs19(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs6(Right(wzz500), Left(wzz4000), dch, dbe) → False
new_esEs6(Left(wzz500), Right(wzz4000), dch, dbe) → False
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_[], dbf), dbe) → new_esEs14(wzz500, wzz4000, dbf)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, dbh), dca), dcb), dbe) → new_esEs5(wzz500, wzz4000, dbh, dca, dcb)
new_esEs6(Left(wzz500), Left(wzz4000), ty_@0, dbe) → new_esEs16(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_@2, dcf), dcg), dbe) → new_esEs7(wzz500, wzz4000, dcf, dcg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_[], dda)) → new_esEs14(wzz500, wzz4000, dda)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Ordering, dbe) → new_esEs8(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Double, dbe) → new_esEs10(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Float, dbe) → new_esEs18(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(wzz500, wzz4000, ddc, ddd, dde)
new_esEs18(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs9(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs10(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs14(:(wzz500, wzz501), :(wzz4000, wzz4001), ha) → new_asAs(new_esEs20(wzz500, wzz4000, ha), new_esEs14(wzz501, wzz4001, ha))
new_esEs14([], [], ha) → True
new_esEs14([], :(wzz4000, wzz4001), ha) → False
new_esEs14(:(wzz500, wzz501), [], ha) → False
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(ty_Maybe, hg)) → new_esEs4(wzz500, wzz4000, hg)
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(ty_Ratio, hc)) → new_esEs15(wzz500, wzz4000, hc)
new_esEs20(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(app(app(ty_@3, hd), he), hf)) → new_esEs5(wzz500, wzz4000, hd, he, hf)
new_esEs20(wzz500, wzz4000, app(app(ty_Either, hh), baa)) → new_esEs6(wzz500, wzz4000, hh, baa)
new_esEs20(wzz500, wzz4000, app(app(ty_@2, bab), bac)) → new_esEs7(wzz500, wzz4000, bab, bac)
new_esEs20(wzz500, wzz4000, app(ty_[], hb)) → new_esEs14(wzz500, wzz4000, hb)
new_esEs20(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs7(@2(wzz500, wzz501), @2(wzz4000, wzz4001), eb, ec) → new_asAs(new_esEs13(wzz500, wzz4000, eb), new_esEs12(wzz501, wzz4001, ec))
new_esEs13(wzz500, wzz4000, app(ty_[], fg)) → new_esEs14(wzz500, wzz4000, fg)
new_esEs13(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Maybe, gd)) → new_esEs4(wzz500, wzz4000, gd)
new_esEs13(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(app(app(ty_@3, ga), gb), gc)) → new_esEs5(wzz500, wzz4000, ga, gb, gc)
new_esEs13(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(app(ty_Either, ge), gf)) → new_esEs6(wzz500, wzz4000, ge, gf)
new_esEs13(wzz500, wzz4000, app(app(ty_@2, gg), gh)) → new_esEs7(wzz500, wzz4000, gg, gh)
new_esEs13(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Ratio, fh)) → new_esEs15(wzz500, wzz4000, fh)
new_esEs13(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs12(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_@2, fd), ff)) → new_esEs7(wzz501, wzz4001, fd, ff)
new_esEs12(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(app(ty_@3, ef), eg), eh)) → new_esEs5(wzz501, wzz4001, ef, eg, eh)
new_esEs12(wzz501, wzz4001, app(ty_Ratio, ee)) → new_esEs15(wzz501, wzz4001, ee)
new_esEs12(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_Either, fb), fc)) → new_esEs6(wzz501, wzz4001, fb, fc)
new_esEs12(wzz501, wzz4001, app(ty_Maybe, fa)) → new_esEs4(wzz501, wzz4001, fa)
new_esEs12(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(ty_[], ed)) → new_esEs14(wzz501, wzz4001, ed)
new_esEs12(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_esEs16(@0, @0) → True
new_esEs15(:%(wzz500, wzz501), :%(wzz4000, wzz4001), dhd) → new_asAs(new_esEs28(wzz500, wzz4000, dhd), new_esEs27(wzz501, wzz4001, dhd))
new_esEs28(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs28(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs27(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs27(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_lt6(wzz53000, wzz54000, cb) → new_esEs8(new_compare(wzz53000, wzz54000, cb), LT)
new_lt16(wzz53000, wzz54000) → new_esEs8(new_compare19(wzz53000, wzz54000), LT)
new_lt10(wzz53000, wzz54000, dg, dh, ea) → new_esEs8(new_compare10(wzz53000, wzz54000, dg, dh, ea), LT)
new_lt5(wzz53000, wzz54000) → new_esEs8(new_compare7(wzz53000, wzz54000), LT)
new_lt18(wzz53000, wzz54000) → new_esEs8(new_compare26(wzz53000, wzz54000), LT)
new_compare26(wzz53000, wzz54000) → new_compare210(wzz53000, wzz54000, new_esEs8(wzz53000, wzz54000))
new_compare210(wzz53000, wzz54000, False) → new_compare13(wzz53000, wzz54000, new_ltEs18(wzz53000, wzz54000))
new_compare210(wzz53000, wzz54000, True) → EQ
new_compare13(wzz53000, wzz54000, False) → GT
new_compare13(wzz53000, wzz54000, True) → LT
new_lt12(wzz53000, wzz54000, cfd, cfe) → new_esEs8(new_compare16(wzz53000, wzz54000, cfd, cfe), LT)
new_compare16(wzz53000, wzz54000, cfd, cfe) → new_compare29(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, cfd, cfe), cfd, cfe)
new_compare29(Left(wzz5300), Right(wzz5400), False, dee, def) → LT
new_compare29(Right(wzz5300), Left(wzz5400), False, dee, def) → GT
new_compare29(Left(wzz5300), Left(wzz5400), False, dee, def) → new_compare114(wzz5300, wzz5400, new_ltEs20(wzz5300, wzz5400, dee), dee, def)
new_ltEs20(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(app(ty_@2, bae), baf)) → new_ltEs7(wzz5300, wzz5400, bae, baf)
new_ltEs20(wzz5300, wzz5400, app(ty_Maybe, bee)) → new_ltEs9(wzz5300, wzz5400, bee)
new_ltEs20(wzz5300, wzz5400, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs5(wzz5300, wzz5400, cfa, cfb, cfc)
new_ltEs20(wzz5300, wzz5400, app(ty_[], cc)) → new_ltEs4(wzz5300, wzz5400, cc)
new_ltEs20(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(app(ty_Either, cdf), ccd)) → new_ltEs14(wzz5300, wzz5400, cdf, ccd)
new_ltEs20(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(ty_Ratio, bad)) → new_ltEs6(wzz5300, wzz5400, bad)
new_ltEs20(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_compare114(wzz161, wzz162, True, eag, eah) → LT
new_compare114(wzz161, wzz162, False, eag, eah) → GT
new_lt17(wzz53000, wzz54000) → new_esEs8(new_compare9(wzz53000, wzz54000), LT)
new_compare9(wzz53000, wzz54000) → new_compare24(wzz53000, wzz54000, new_esEs11(wzz53000, wzz54000))
new_compare24(wzz53000, wzz54000, True) → EQ
new_compare24(wzz53000, wzz54000, False) → new_compare111(wzz53000, wzz54000, new_ltEs17(wzz53000, wzz54000))
new_compare111(wzz53000, wzz54000, False) → GT
new_compare111(wzz53000, wzz54000, True) → LT
new_lt11(wzz53000, wzz54000) → new_esEs8(new_compare6(wzz53000, wzz54000), LT)
new_lt4(wzz53000, wzz54000, ca) → new_esEs8(new_compare5(wzz53000, wzz54000, ca), LT)
new_compare5(wzz53000, wzz54000, ca) → new_compare27(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, ca), ca)
new_compare27(wzz53000, wzz54000, False, ca) → new_compare110(wzz53000, wzz54000, new_ltEs9(wzz53000, wzz54000, ca), ca)
new_compare27(wzz53000, wzz54000, True, ca) → EQ
new_compare110(wzz53000, wzz54000, True, ca) → LT
new_compare110(wzz53000, wzz54000, False, ca) → GT
new_lt14(wzz53000, wzz54000) → new_esEs8(new_compare17(wzz53000, wzz54000), LT)
new_lt9(wzz530, wzz540) → new_esEs8(new_compare8(wzz530, wzz540), LT)
new_lt8(wzz53000, wzz54000) → new_esEs8(new_compare14(wzz53000, wzz54000), LT)
new_lt13(wzz53000, wzz54000, cff) → new_esEs8(new_compare12(wzz53000, wzz54000, cff), LT)
new_lt15(wzz53000, wzz54000, cca, ccb) → new_esEs8(new_compare18(wzz53000, wzz54000, cca, ccb), LT)
new_compare18(wzz53000, wzz54000, cca, ccb) → new_compare28(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_compare28(wzz53000, wzz54000, True, cca, ccb) → EQ
new_compare28(wzz53000, wzz54000, False, cca, ccb) → new_compare112(wzz53000, wzz54000, new_ltEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_compare112(wzz53000, wzz54000, False, cca, ccb) → GT
new_compare112(wzz53000, wzz54000, True, cca, ccb) → LT
new_esEs24(wzz500, wzz4000, app(ty_Ratio, cah)) → new_esEs15(wzz500, wzz4000, cah)
new_esEs24(wzz500, wzz4000, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs5(wzz500, wzz4000, cba, cbb, cbc)
new_esEs24(wzz500, wzz4000, app(ty_Maybe, cbd)) → new_esEs4(wzz500, wzz4000, cbd)
new_esEs24(wzz500, wzz4000, app(app(ty_@2, cbg), cbh)) → new_esEs7(wzz500, wzz4000, cbg, cbh)
new_esEs24(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, app(app(ty_Either, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs24(wzz500, wzz4000, app(ty_[], cag)) → new_esEs14(wzz500, wzz4000, cag)
new_esEs24(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(ty_Maybe, cab)) → new_esEs4(wzz501, wzz4001, cab)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, cac), cad)) → new_esEs6(wzz501, wzz4001, cac, cad)
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(ty_[], bhe)) → new_esEs14(wzz501, wzz4001, bhe)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bhf)) → new_esEs15(wzz501, wzz4001, bhf)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cae), caf)) → new_esEs7(wzz501, wzz4001, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(wzz501, wzz4001, bhg, bhh, caa)
new_esEs22(wzz502, wzz4002, app(ty_[], bgc)) → new_esEs14(wzz502, wzz4002, bgc)
new_esEs22(wzz502, wzz4002, ty_Ordering) → new_esEs8(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(app(ty_@2, bhc), bhd)) → new_esEs7(wzz502, wzz4002, bhc, bhd)
new_esEs22(wzz502, wzz4002, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs5(wzz502, wzz4002, bge, bgf, bgg)
new_esEs22(wzz502, wzz4002, app(ty_Maybe, bgh)) → new_esEs4(wzz502, wzz4002, bgh)
new_esEs22(wzz502, wzz4002, ty_Double) → new_esEs10(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_@0) → new_esEs16(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Float) → new_esEs18(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Bool) → new_esEs11(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(ty_Ratio, bgd)) → new_esEs15(wzz502, wzz4002, bgd)
new_esEs22(wzz502, wzz4002, ty_Int) → new_esEs9(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Char) → new_esEs19(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(app(ty_Either, bha), bhb)) → new_esEs6(wzz502, wzz4002, bha, bhb)
new_esEs22(wzz502, wzz4002, ty_Integer) → new_esEs17(wzz502, wzz4002)
new_esEs31(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_esEs31(wzz50, wzz400, app(ty_[], dac)) → new_esEs14(wzz50, wzz400, dac)
new_esEs31(wzz50, wzz400, app(app(app(ty_@3, dae), daf), dag)) → new_esEs5(wzz50, wzz400, dae, daf, dag)
new_esEs31(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_esEs31(wzz50, wzz400, app(ty_Ratio, dad)) → new_esEs15(wzz50, wzz400, dad)
new_esEs31(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_esEs31(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_esEs31(wzz50, wzz400, app(app(ty_Either, dba), dbb)) → new_esEs6(wzz50, wzz400, dba, dbb)
new_esEs31(wzz50, wzz400, app(ty_Maybe, dah)) → new_esEs4(wzz50, wzz400, dah)
new_esEs31(wzz50, wzz400, app(app(ty_@2, dbc), dbd)) → new_esEs7(wzz50, wzz400, dbc, dbd)

The set Q consists of the following terms:

new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare15(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_primEqNat0(Succ(x0), Zero)
new_ltEs8(x0, x1, ty_Double)
new_compare(:(x0, x1), [], x2)
new_ltEs9(Just(x0), Just(x1), app(ty_[], x2))
new_compare([], :(x0, x1), x2)
new_esEs11(True, True)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Float)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Float)
new_esEs12(x0, x1, ty_Int)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_primEqNat0(Zero, Succ(x0))
new_lt7(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, ty_Bool)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_esEs18(Float(x0, x1), Float(x2, x3))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Float)
new_compare15(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Int)
new_compare110(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, ty_Double)
new_esEs8(GT, GT)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_compare25(x0, x1, False, x2, x3, x4)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Nothing, x1)
new_lt19(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs8(LT, LT)
new_ltEs9(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_compare25(x0, x1, True, x2, x3, x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs16(@0, @0)
new_compare114(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs31(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Char)
new_compare15(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Double)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Double)
new_lt7(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_compare9(x0, x1)
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare24(x0, x1, False)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs13(x0, x1, ty_Int)
new_ltEs17(False, False)
new_ltEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_@0)
new_ltEs8(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Float)
new_ltEs18(GT, LT)
new_ltEs18(LT, GT)
new_compare210(x0, x1, False)
new_esEs27(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Bool)
new_ltEs8(x0, x1, ty_Integer)
new_lt13(x0, x1, x2)
new_ltEs10(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Bool)
new_ltEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Bool)
new_compare11(x0, x1, False, x2, x3, x4)
new_esEs31(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare16(x0, x1, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(x0, x1)
new_ltEs9(Just(x0), Just(x1), ty_Char)
new_esEs23(x0, x1, ty_Double)
new_asAs(False, x0)
new_ltEs16(x0, x1)
new_primMulNat0(Zero, Zero)
new_compare29(Left(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Bool)
new_ltEs18(EQ, LT)
new_ltEs18(LT, EQ)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Integer)
new_compare([], [], x0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs8(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt19(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Ordering)
new_lt14(x0, x1)
new_compare10(x0, x1, x2, x3, x4)
new_ltEs17(True, True)
new_esEs21(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs25(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_compare29(Right(x0), Left(x1), False, x2, x3)
new_compare29(Left(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_compare17(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, ty_Ordering)
new_ltEs8(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs31(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt15(x0, x1, x2, x3)
new_lt19(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Int)
new_ltEs9(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare28(x0, x1, False, x2, x3)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare8(x0, x1)
new_esEs11(False, False)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs13(x0, x1, app(ty_[], x2))
new_compare27(x0, x1, True, x2)
new_esEs23(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_lt17(x0, x1)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1)
new_esEs24(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_Int)
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_esEs13(x0, x1, ty_Ordering)
new_pePe(False, x0)
new_lt19(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs14([], :(x0, x1), x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare15(x0, x1, app(ty_[], x2))
new_primPlusNat1(Zero, Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs31(x0, x1, ty_Int)
new_pePe(True, x0)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3, x4)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, x2)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Char)
new_ltEs9(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, ty_Ordering)
new_compare112(x0, x1, True, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_lt7(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs26(x0, x1, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, ty_Integer)
new_primCompAux00(x0, GT)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs9(Nothing, Just(x0), x1)
new_lt19(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_sr0(Integer(x0), Integer(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt10(x0, x1, x2, x3, x4)
new_compare27(x0, x1, False, x2)
new_compare29(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Int)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs9(Just(x0), Just(x1), ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs9(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs15(:%(x0, x1), :%(x2, x3), x4)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs12(x0, x1, app(ty_[], x2))
new_compare15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs12(x0, x1, ty_Bool)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_fsEs(x0)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_lt7(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, x2, x3)
new_ltEs9(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs9(Just(x0), Just(x1), ty_@0)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs20(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Int)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt5(x0, x1)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs8(EQ, EQ)
new_esEs12(x0, x1, ty_@0)
new_ltEs12(x0, x1)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs9(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs14([], [], x0)
new_esEs28(x0, x1, ty_Integer)
new_primPlusNat0(Succ(x0), x1)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_sr(x0, x1)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs11(x0, x1)
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, False, x2, x3)
new_primCompAux00(x0, LT)
new_ltEs18(LT, LT)
new_ltEs20(x0, x1, ty_Int)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs24(x0, x1, ty_Char)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Just(x0), x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs20(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs8(x0, x1, ty_Char)
new_compare18(x0, x1, x2, x3)
new_compare210(x0, x1, True)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_compare13(x0, x1, False)
new_compare6(@0, @0)
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_compare29(Right(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, ty_Integer)
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_ltEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_primMulNat0(Succ(x0), Succ(x1))
new_compare113(x0, x1, True, x2, x3)
new_ltEs18(EQ, GT)
new_ltEs18(GT, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Zero, Zero)
new_ltEs8(x0, x1, ty_Bool)
new_esEs14(:(x0, x1), [], x2)
new_esEs21(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_compare15(x0, x1, ty_Float)
new_ltEs8(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs9(Nothing, Nothing, x0)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_ltEs9(Just(x0), Just(x1), ty_Double)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_ltEs9(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_compare28(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare114(x0, x1, True, x2, x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False)
new_ltEs8(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_asAs(True, x0)
new_lt4(x0, x1, x2)
new_esEs28(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare112(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs4(Nothing, Nothing, x0)
new_compare15(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_@0)
new_ltEs9(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs13(x0, x1, ty_@0)
new_esEs20(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs18(EQ, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare15(x0, x1, ty_Char)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_not(True)
new_esEs24(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_compare110(x0, x1, True, x2)
new_esEs26(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare24(x0, x1, True)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt7(x0, x1, ty_Bool)
new_not(False)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Integer)
new_esEs19(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Int)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_lt18(x0, x1)
new_ltEs17(False, True)
new_ltEs17(True, False)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare26(x0, x1)
new_compare15(x0, x1, ty_Double)
new_compare19(Integer(x0), Integer(x1))
new_esEs25(x0, x1, ty_Int)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Ordering)
new_lt9(x0, x1)
new_compare15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_Integer)
new_compare5(x0, x1, x2)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_primCompAux0(x0, x1, x2, x3)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Bool)
new_ltEs18(GT, GT)
new_esEs32(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Ordering)
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs10(Double(x0, x1), Double(x2, x3))
new_primPlusNat0(Zero, x0)
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Float)
new_esEs17(Integer(x0), Integer(x1))
new_lt7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, EQ)
new_esEs25(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Float)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Char)
new_esEs13(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs26(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Bool)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_lt7(x0, x1, ty_Char)
new_compare(:(x0, x1), :(x2, x3), x4)
new_esEs21(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_lt20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Bool)
new_compare14(Float(x0, x1), Float(x2, x3))
new_lt8(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs9(Just(x0), Just(x1), ty_Float)
new_esEs32(x0, x1, ty_Float)
new_compare15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(Char(x0), Char(x1))
new_ltEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Bool)
new_lt7(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))

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

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

new_addToFM_C2(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, h, ba, bb) → new_addToFM_C(wzz17, wzz21, Left(wzz23), wzz24, h, ba, bb)
new_addToFM_C(wzz3, Branch(Left(wzz400), wzz41, wzz42, wzz43, wzz44), Left(wzz50), wzz6, bc, bd, be) → new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Left(wzz400), new_esEs30(wzz50, wzz400, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz43, Left(wzz50), wzz6, bc, bd, be)
new_addToFM_C1(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, h, ba, bb) → new_addToFM_C(wzz17, wzz22, Left(wzz23), wzz24, h, ba, bb)
new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz44, Left(wzz50), wzz6, bc, bd, be)
new_addToFM_C(wzz3, Branch(Right(wzz400), wzz41, wzz42, wzz43, wzz44), Left(wzz50), wzz6, bc, bd, be) → new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Right(wzz400), False, bc, bd), LT), bc, bd, be)
new_addToFM_C2(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, False, h, ba, bb) → new_addToFM_C1(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, new_esEs8(new_compare29(Left(wzz23), Left(wzz18), new_esEs29(wzz23, wzz18, h), h, ba), GT), h, ba, bb)
new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, bc, bd, be) → new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Right(wzz400), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz53001, wzz54001, app(ty_[], cfh)) → new_esEs14(wzz53001, wzz54001, cfh)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Maybe, dgg)) → new_esEs4(wzz500, wzz4000, dgg)
new_esEs28(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, ty_Integer) → new_esEs17(wzz23, wzz18)
new_esEs25(wzz53001, wzz54001, ty_Char) → new_esEs19(wzz53001, wzz54001)
new_ltEs13(wzz5300, wzz5400) → new_fsEs(new_compare6(wzz5300, wzz5400))
new_ltEs8(wzz53001, wzz54001, ty_Bool) → new_ltEs17(wzz53001, wzz54001)
new_lt7(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_lt15(wzz53000, wzz54000, bbg, bbh)
new_ltEs19(wzz53002, wzz54002, ty_Integer) → new_ltEs16(wzz53002, wzz54002)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Integer, ccd) → new_ltEs16(wzz53000, wzz54000)
new_compare18(wzz53000, wzz54000, cca, ccb) → new_compare28(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs17(False, False) → True
new_esEs24(wzz500, wzz4000, app(ty_Ratio, cah)) → new_esEs15(wzz500, wzz4000, cah)
new_ltEs18(EQ, GT) → True
new_esEs24(wzz500, wzz4000, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs5(wzz500, wzz4000, cba, cbb, cbc)
new_esEs15(:%(wzz500, wzz501), :%(wzz4000, wzz4001), dhd) → new_asAs(new_esEs28(wzz500, wzz4000, dhd), new_esEs27(wzz501, wzz4001, dhd))
new_esEs26(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_esEs15(wzz53000, wzz54000, cff)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Integer, dbe) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Int, dbe) → new_esEs9(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_compare([], :(wzz54000, wzz54001), cc) → LT
new_esEs24(wzz500, wzz4000, app(ty_Maybe, cbd)) → new_esEs4(wzz500, wzz4000, cbd)
new_esEs4(Nothing, Just(wzz4000), dga) → False
new_esEs4(Just(wzz500), Nothing, dga) → False
new_ltEs9(Nothing, Just(wzz54000), bee) → True
new_ltEs19(wzz53002, wzz54002, ty_Float) → new_ltEs11(wzz53002, wzz54002)
new_esEs29(wzz23, wzz18, ty_Int) → new_esEs9(wzz23, wzz18)
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, app(ty_[], dac)) → new_esEs14(wzz50, wzz400, dac)
new_esEs31(wzz50, wzz400, app(app(app(ty_@3, dae), daf), dag)) → new_esEs5(wzz50, wzz400, dae, daf, dag)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, app(ty_[], ha)) → new_esEs14(wzz50, wzz400, ha)
new_ltEs21(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Ratio, dbg), dbe) → new_esEs15(wzz500, wzz4000, dbg)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Int, ccd) → new_ltEs12(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, app(ty_[], fg)) → new_esEs14(wzz500, wzz4000, fg)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_esEs14(:(wzz500, wzz501), :(wzz4000, wzz4001), ha) → new_asAs(new_esEs20(wzz500, wzz4000, ha), new_esEs14(wzz501, wzz4001, ha))
new_esEs13(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare(:(wzz53000, wzz53001), [], cc) → GT
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_@2, dea), deb)) → new_esEs7(wzz500, wzz4000, dea, deb)
new_esEs25(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_esEs6(wzz53001, wzz54001, cgd, cge)
new_esEs20(wzz500, wzz4000, app(ty_Maybe, hg)) → new_esEs4(wzz500, wzz4000, hg)
new_lt7(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_lt13(wzz53000, wzz54000, bbf)
new_lt20(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_lt12(wzz53001, wzz54001, cgd, cge)
new_lt20(wzz53001, wzz54001, app(ty_[], cfh)) → new_lt6(wzz53001, wzz54001, cfh)
new_ltEs15(wzz5300, wzz5400) → new_fsEs(new_compare17(wzz5300, wzz5400))
new_esEs23(wzz501, wzz4001, app(ty_Maybe, cab)) → new_esEs4(wzz501, wzz4001, cab)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Bool, dbe) → new_esEs11(wzz500, wzz4000)
new_lt20(wzz53001, wzz54001, ty_Double) → new_lt14(wzz53001, wzz54001)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Ratio, ddb)) → new_esEs15(wzz500, wzz4000, ddb)
new_lt7(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_ltEs19(wzz53002, wzz54002, ty_@0) → new_ltEs13(wzz53002, wzz54002)
new_lt19(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Integer) → new_compare19(new_sr0(wzz53000, wzz54001), new_sr0(wzz54000, wzz53001))
new_lt20(wzz53001, wzz54001, ty_Integer) → new_lt16(wzz53001, wzz54001)
new_esEs26(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Integer) → new_esEs17(wzz53001, wzz54001)
new_ltEs20(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_esEs21(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_esEs6(wzz53000, wzz54000, bbd, bbe)
new_esEs29(wzz23, wzz18, ty_Float) → new_esEs18(wzz23, wzz18)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, ccf), ccg), cch), ccd) → new_ltEs5(wzz53000, wzz54000, ccf, ccg, cch)
new_esEs26(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_esEs4(wzz53000, wzz54000, ca)
new_esEs32(wzz42, wzz37, ty_Integer) → new_esEs17(wzz42, wzz37)
new_ltEs8(wzz53001, wzz54001, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs5(wzz53001, wzz54001, bcc, bcd, bce)
new_compare15(wzz53000, wzz54000, app(app(ty_Either, bdh), bea)) → new_compare16(wzz53000, wzz54000, bdh, bea)
new_esEs22(wzz502, wzz4002, app(ty_[], bgc)) → new_esEs14(wzz502, wzz4002, bgc)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Double) → new_esEs10(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, app(ty_[], bcb)) → new_ltEs4(wzz53001, wzz54001, bcb)
new_esEs17(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, app(ty_[], cd)) → new_esEs14(wzz42, wzz37, cd)
new_lt17(wzz53000, wzz54000) → new_esEs8(new_compare9(wzz53000, wzz54000), LT)
new_pePe(False, wzz188) → wzz188
new_esEs14([], [], ha) → True
new_esEs25(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_esEs7(wzz53001, wzz54001, cgg, cgh)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Int) → new_esEs9(wzz500, wzz4000)
new_compare6(@0, @0) → EQ
new_esEs6(Left(wzz500), Left(wzz4000), ty_Char, dbe) → new_esEs19(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, app(ty_[], dhe)) → new_esEs14(wzz23, wzz18, dhe)
new_esEs13(wzz500, wzz4000, app(ty_Maybe, gd)) → new_esEs4(wzz500, wzz4000, gd)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_[], cdh)) → new_ltEs4(wzz53000, wzz54000, cdh)
new_esEs30(wzz50, wzz400, app(ty_Ratio, dhd)) → new_esEs15(wzz50, wzz400, dhd)
new_ltEs4(wzz5300, wzz5400, cc) → new_fsEs(new_compare(wzz5300, wzz5400, cc))
new_esEs31(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_lt20(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_lt10(wzz53001, wzz54001, cga, cgb, cgc)
new_compare11(wzz53000, wzz54000, False, dg, dh, ea) → GT
new_esEs22(wzz502, wzz4002, ty_Ordering) → new_esEs8(wzz502, wzz4002)
new_compare111(wzz53000, wzz54000, False) → GT
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_compare111(wzz53000, wzz54000, True) → LT
new_esEs26(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_lt4(wzz53000, wzz54000, ca) → new_esEs8(new_compare5(wzz53000, wzz54000, ca), LT)
new_esEs32(wzz42, wzz37, app(ty_Maybe, db)) → new_esEs4(wzz42, wzz37, db)
new_compare27(wzz53000, wzz54000, False, ca) → new_compare110(wzz53000, wzz54000, new_ltEs9(wzz53000, wzz54000, ca), ca)
new_primCmpNat0(Zero, Succ(wzz5400)) → LT
new_compare5(wzz53000, wzz54000, ca) → new_compare27(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, ca), ca)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Char) → new_esEs19(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, app(app(ty_@2, bae), baf)) → new_ltEs7(wzz5300, wzz5400, bae, baf)
new_esEs26(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Left(wzz4000), dch, dbe) → False
new_esEs6(Left(wzz500), Right(wzz4000), dch, dbe) → False
new_esEs8(LT, LT) → True
new_compare25(wzz53000, wzz54000, True, dg, dh, ea) → EQ
new_esEs30(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs32(wzz42, wzz37, ty_Int) → new_esEs9(wzz42, wzz37)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, app(ty_Ratio, dad)) → new_esEs15(wzz50, wzz400, dad)
new_esEs25(wzz53001, wzz54001, ty_Ordering) → new_esEs8(wzz53001, wzz54001)
new_esEs20(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs29(wzz23, wzz18, app(app(ty_@2, eae), eaf)) → new_esEs7(wzz23, wzz18, eae, eaf)
new_ltEs20(wzz5300, wzz5400, app(ty_Maybe, bee)) → new_ltEs9(wzz5300, wzz5400, bee)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_pePe(True, wzz188) → True
new_primEqNat0(Zero, Zero) → True
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, cac), cad)) → new_esEs6(wzz501, wzz4001, cac, cad)
new_compare29(wzz530, wzz540, True, dee, def) → EQ
new_lt7(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_@0) → new_esEs16(wzz500, wzz4000)
new_ltEs18(EQ, EQ) → True
new_esEs20(wzz500, wzz4000, app(ty_Ratio, hc)) → new_esEs15(wzz500, wzz4000, hc)
new_esEs12(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_ltEs19(wzz53002, wzz54002, app(ty_[], chb)) → new_ltEs4(wzz53002, wzz54002, chb)
new_esEs26(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs22(wzz502, wzz4002, app(app(ty_@2, bhc), bhd)) → new_esEs7(wzz502, wzz4002, bhc, bhd)
new_ltEs21(wzz5300, wzz5400, app(ty_Maybe, deg)) → new_ltEs9(wzz5300, wzz5400, deg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_Either, ddg), ddh)) → new_esEs6(wzz500, wzz4000, ddg, ddh)
new_esEs29(wzz23, wzz18, ty_Double) → new_esEs10(wzz23, wzz18)
new_compare15(wzz53000, wzz54000, ty_Float) → new_compare14(wzz53000, wzz54000)
new_compare16(wzz53000, wzz54000, cfd, cfe) → new_compare29(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, cfd, cfe), cfd, cfe)
new_esEs12(wzz501, wzz4001, app(app(ty_@2, fd), ff)) → new_esEs7(wzz501, wzz4001, fd, ff)
new_sr(wzz501, wzz4001) → new_primMulInt(wzz501, wzz4001)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Maybe, ccc), ccd) → new_ltEs9(wzz53000, wzz54000, ccc)
new_esEs32(wzz42, wzz37, app(app(ty_@2, de), df)) → new_esEs7(wzz42, wzz37, de, df)
new_esEs30(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_lt7(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_esEs24(wzz500, wzz4000, app(app(ty_@2, cbg), cbh)) → new_esEs7(wzz500, wzz4000, cbg, cbh)
new_esEs13(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs18(LT, LT) → True
new_esEs26(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_Char) → new_ltEs10(wzz53002, wzz54002)
new_esEs24(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_lt7(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_lt4(wzz53000, wzz54000, bag)
new_esEs8(GT, GT) → True
new_esEs12(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_primPlusNat0(Succ(wzz1340), wzz400100) → Succ(Succ(new_primPlusNat1(wzz1340, wzz400100)))
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Double, ccd) → new_ltEs15(wzz53000, wzz54000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs31(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs8(GT, LT) → False
new_esEs8(LT, GT) → False
new_compare29(Left(wzz5300), Right(wzz5400), False, dee, def) → LT
new_ltEs19(wzz53002, wzz54002, app(ty_Maybe, cha)) → new_ltEs9(wzz53002, wzz54002, cha)
new_esEs29(wzz23, wzz18, ty_Bool) → new_esEs11(wzz23, wzz18)
new_ltEs21(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_lt7(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_ltEs18(GT, GT) → True
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_@2, ceg), ceh)) → new_ltEs7(wzz53000, wzz54000, ceg, ceh)
new_ltEs20(wzz5300, wzz5400, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs5(wzz5300, wzz5400, cfa, cfb, cfc)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Float, ccd) → new_ltEs11(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs20(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, app(app(ty_@2, bda), bdb)) → new_ltEs7(wzz53001, wzz54001, bda, bdb)
new_esEs25(wzz53001, wzz54001, ty_Bool) → new_esEs11(wzz53001, wzz54001)
new_compare113(wzz168, wzz169, True, dec, ded) → LT
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_esEs20(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_ltEs18(LT, GT) → True
new_primPlusNat1(Succ(wzz56200), Zero) → Succ(wzz56200)
new_primPlusNat1(Zero, Succ(wzz12500)) → Succ(wzz12500)
new_esEs30(wzz50, wzz400, app(ty_Maybe, dga)) → new_esEs4(wzz50, wzz400, dga)
new_esEs21(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_compare13(wzz53000, wzz54000, False) → GT
new_ltEs14(Right(wzz53000), Left(wzz54000), cdf, ccd) → False
new_ltEs8(wzz53001, wzz54001, app(app(ty_Either, bcf), bcg)) → new_ltEs14(wzz53001, wzz54001, bcf, bcg)
new_ltEs17(True, False) → False
new_ltEs16(wzz5300, wzz5400) → new_fsEs(new_compare19(wzz5300, wzz5400))
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_[], dbf), dbe) → new_esEs14(wzz500, wzz4000, dbf)
new_esEs14([], :(wzz4000, wzz4001), ha) → False
new_esEs14(:(wzz500, wzz501), [], ha) → False
new_ltEs18(GT, LT) → False
new_ltEs21(wzz5300, wzz5400, app(ty_Ratio, dff)) → new_ltEs6(wzz5300, wzz5400, dff)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_compare11(wzz53000, wzz54000, True, dg, dh, ea) → LT
new_esEs21(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_esEs7(wzz53000, wzz54000, bbg, bbh)
new_esEs32(wzz42, wzz37, app(app(app(ty_@3, cf), cg), da)) → new_esEs5(wzz42, wzz37, cf, cg, da)
new_lt16(wzz53000, wzz54000) → new_esEs8(new_compare19(wzz53000, wzz54000), LT)
new_esEs31(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Bool, ccd) → new_ltEs17(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_[], beg)) → new_ltEs4(wzz53000, wzz54000, beg)
new_esEs26(wzz53000, wzz54000, app(ty_[], cb)) → new_esEs14(wzz53000, wzz54000, cb)
new_compare15(wzz53000, wzz54000, ty_Int) → new_compare8(wzz53000, wzz54000)
new_compare112(wzz53000, wzz54000, False, cca, ccb) → GT
new_esEs25(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_esEs15(wzz53001, wzz54001, cgf)
new_ltEs5(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), cfa, cfb, cfc) → new_pePe(new_lt19(wzz53000, wzz54000, cfa), new_asAs(new_esEs26(wzz53000, wzz54000, cfa), new_pePe(new_lt20(wzz53001, wzz54001, cfb), new_asAs(new_esEs25(wzz53001, wzz54001, cfb), new_ltEs19(wzz53002, wzz54002, cfc)))))
new_compare8(wzz53, wzz54) → new_primCmpInt(wzz53, wzz54)
new_ltEs20(wzz5300, wzz5400, app(ty_[], cc)) → new_ltEs4(wzz5300, wzz5400, cc)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_esEs8(EQ, EQ) → True
new_ltEs21(wzz5300, wzz5400, app(app(ty_Either, dfd), dfe)) → new_ltEs14(wzz5300, wzz5400, dfd, dfe)
new_lt13(wzz53000, wzz54000, cff) → new_esEs8(new_compare12(wzz53000, wzz54000, cff), LT)
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_compare7(Char(wzz53000), Char(wzz54000)) → new_primCmpNat0(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_esEs22(wzz502, wzz4002, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs5(wzz502, wzz4002, bge, bgf, bgg)
new_compare([], [], cc) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs20(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_primCmpNat0(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat0(wzz5300, wzz5400)
new_esEs22(wzz502, wzz4002, app(ty_Maybe, bgh)) → new_esEs4(wzz502, wzz4002, bgh)
new_esEs25(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_esEs4(wzz53001, wzz54001, cfg)
new_esEs26(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs11(False, False) → True
new_esEs12(wzz501, wzz4001, app(app(app(ty_@3, ef), eg), eh)) → new_esEs5(wzz501, wzz4001, ef, eg, eh)
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_compare15(wzz53000, wzz54000, app(ty_[], bdd)) → new_compare(wzz53000, wzz54000, bdd)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_Either, dgh), dha)) → new_esEs6(wzz500, wzz4000, dgh, dha)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, dbh), dca), dcb), dbe) → new_esEs5(wzz500, wzz4000, dbh, dca, dcb)
new_ltEs21(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_esEs25(wzz53001, wzz54001, ty_Int) → new_esEs9(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Int) → new_ltEs12(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Ordering) → new_ltEs18(wzz53001, wzz54001)
new_esEs32(wzz42, wzz37, ty_Double) → new_esEs10(wzz42, wzz37)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Maybe, ddf)) → new_esEs4(wzz500, wzz4000, ddf)
new_esEs6(Left(wzz500), Left(wzz4000), ty_@0, dbe) → new_esEs16(wzz500, wzz4000)
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_esEs24(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs27(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs31(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_lt5(wzz53000, wzz54000) → new_esEs8(new_compare7(wzz53000, wzz54000), LT)
new_esEs21(wzz53000, wzz54000, app(ty_[], bah)) → new_esEs14(wzz53000, wzz54000, bah)
new_esEs13(wzz500, wzz4000, app(app(app(ty_@3, ga), gb), gc)) → new_esEs5(wzz500, wzz4000, ga, gb, gc)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, dgd), dge), dgf)) → new_esEs5(wzz500, wzz4000, dgd, dge, dgf)
new_lt11(wzz53000, wzz54000) → new_esEs8(new_compare6(wzz53000, wzz54000), LT)
new_compare113(wzz168, wzz169, False, dec, ded) → GT
new_compare26(wzz53000, wzz54000) → new_compare210(wzz53000, wzz54000, new_esEs8(wzz53000, wzz54000))
new_esEs22(wzz502, wzz4002, ty_Double) → new_esEs10(wzz502, wzz4002)
new_lt14(wzz53000, wzz54000) → new_esEs8(new_compare17(wzz53000, wzz54000), LT)
new_primCompAux00(wzz202, LT) → LT
new_primCmpInt(Neg(Succ(wzz5300)), Neg(wzz540)) → new_primCmpNat0(wzz540, Succ(wzz5300))
new_compare114(wzz161, wzz162, True, eag, eah) → LT
new_esEs24(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_primCompAux0(wzz53000, wzz54000, wzz189, cc) → new_primCompAux00(wzz189, new_compare15(wzz53000, wzz54000, cc))
new_esEs8(LT, EQ) → False
new_esEs8(EQ, LT) → False
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_lt10(wzz53000, wzz54000, dg, dh, ea) → new_esEs8(new_compare10(wzz53000, wzz54000, dg, dh, ea), LT)
new_esEs31(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(wzz5300), Zero) → GT
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Maybe, bef)) → new_ltEs9(wzz53000, wzz54000, bef)
new_compare15(wzz53000, wzz54000, ty_@0) → new_compare6(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_[], cce), ccd) → new_ltEs4(wzz53000, wzz54000, cce)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz5400))) → LT
new_compare13(wzz53000, wzz54000, True) → LT
new_sr0(Integer(wzz530000), Integer(wzz540010)) → Integer(new_primMulInt(wzz530000, wzz540010))
new_primPlusNat1(Succ(wzz56200), Succ(wzz12500)) → Succ(Succ(new_primPlusNat1(wzz56200, wzz12500)))
new_lt7(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, app(ty_Ratio, ee)) → new_esEs15(wzz501, wzz4001, ee)
new_compare28(wzz53000, wzz54000, True, cca, ccb) → EQ
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_esEs29(wzz23, wzz18, ty_Char) → new_esEs19(wzz23, wzz18)
new_esEs20(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_@0) → new_esEs16(wzz42, wzz37)
new_compare(:(wzz53000, wzz53001), :(wzz54000, wzz54001), cc) → new_primCompAux0(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, cc), cc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_esEs13(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_compare210(wzz53000, wzz54000, False) → new_compare13(wzz53000, wzz54000, new_ltEs18(wzz53000, wzz54000))
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_@2, cdd), cde), ccd) → new_ltEs7(wzz53000, wzz54000, cdd, cde)
new_compare10(wzz53000, wzz54000, dg, dh, ea) → new_compare25(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs18(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Maybe, dcc), dbe) → new_esEs4(wzz500, wzz4000, dcc)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs5(wzz53000, wzz54000, beh, bfa, bfb)
new_esEs26(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_ltEs9(Just(wzz53000), Nothing, bee) → False
new_esEs30(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_primCmpInt(Pos(Zero), Pos(Succ(wzz5400))) → new_primCmpNat0(Zero, Succ(wzz5400))
new_primCompAux00(wzz202, EQ) → wzz202
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bff), bfg)) → new_ltEs7(wzz53000, wzz54000, bff, bfg)
new_compare24(wzz53000, wzz54000, True) → EQ
new_compare29(Right(wzz5300), Right(wzz5400), False, dee, def) → new_compare113(wzz5300, wzz5400, new_ltEs21(wzz5300, wzz5400, def), dee, def)
new_lt19(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs22(wzz502, wzz4002, ty_@0) → new_esEs16(wzz502, wzz4002)
new_ltEs8(wzz53001, wzz54001, ty_@0) → new_ltEs13(wzz53001, wzz54001)
new_compare15(wzz53000, wzz54000, app(app(ty_@2, bec), bed)) → new_compare18(wzz53000, wzz54000, bec, bed)
new_esEs8(GT, EQ) → False
new_esEs8(EQ, GT) → False
new_esEs20(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, ty_Char) → new_ltEs10(wzz53001, wzz54001)
new_esEs22(wzz502, wzz4002, ty_Float) → new_esEs18(wzz502, wzz4002)
new_lt7(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_lt12(wzz53000, wzz54000, bbd, bbe)
new_ltEs18(GT, EQ) → False
new_esEs21(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs30(wzz50, wzz400, app(app(ty_Either, dch), dbe)) → new_esEs6(wzz50, wzz400, dch, dbe)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_@2, dcf), dcg), dbe) → new_esEs7(wzz500, wzz4000, dcf, dcg)
new_lt7(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_not(False) → True
new_compare114(wzz161, wzz162, False, eag, eah) → GT
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_Either, dcd), dce), dbe) → new_esEs6(wzz500, wzz4000, dcd, dce)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Ratio, dgc)) → new_esEs15(wzz500, wzz4000, dgc)
new_primCmpInt(Pos(Succ(wzz5300)), Pos(wzz540)) → new_primCmpNat0(Succ(wzz5300), wzz540)
new_compare110(wzz53000, wzz54000, True, ca) → LT
new_primPlusNat0(Zero, wzz400100) → Succ(wzz400100)
new_esEs30(wzz50, wzz400, app(app(ty_@2, eb), ec)) → new_esEs7(wzz50, wzz400, eb, ec)
new_compare15(wzz53000, wzz54000, ty_Char) → new_compare7(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Nothing, Nothing, bee) → True
new_esEs24(wzz500, wzz4000, app(app(ty_Either, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Ratio, cef)) → new_ltEs6(wzz53000, wzz54000, cef)
new_esEs32(wzz42, wzz37, ty_Ordering) → new_esEs8(wzz42, wzz37)
new_esEs24(wzz500, wzz4000, app(ty_[], cag)) → new_esEs14(wzz500, wzz4000, cag)
new_esEs25(wzz53001, wzz54001, ty_Float) → new_esEs18(wzz53001, wzz54001)
new_ltEs18(EQ, LT) → False
new_lt19(wzz53000, wzz54000, app(ty_[], cb)) → new_lt6(wzz53000, wzz54000, cb)
new_ltEs18(LT, EQ) → True
new_lt20(wzz53001, wzz54001, ty_Ordering) → new_lt18(wzz53001, wzz54001)
new_esEs21(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_esEs15(wzz53000, wzz54000, bbf)
new_esEs29(wzz23, wzz18, app(ty_Ratio, dhf)) → new_esEs15(wzz23, wzz18, dhf)
new_esEs32(wzz42, wzz37, ty_Float) → new_esEs18(wzz42, wzz37)
new_esEs22(wzz502, wzz4002, ty_Bool) → new_esEs11(wzz502, wzz4002)
new_esEs20(wzz500, wzz4000, app(app(app(ty_@3, hd), he), hf)) → new_esEs5(wzz500, wzz4000, hd, he, hf)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_primCmpInt(Pos(Succ(wzz5300)), Neg(wzz540)) → GT
new_esEs13(wzz500, wzz4000, app(app(ty_Either, ge), gf)) → new_esEs6(wzz500, wzz4000, ge, gf)
new_lt8(wzz53000, wzz54000) → new_esEs8(new_compare14(wzz53000, wzz54000), LT)
new_esEs24(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs21(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs5(wzz53000, wzz54000, bba, bbb, bbc)
new_lt6(wzz53000, wzz54000, cb) → new_esEs8(new_compare(wzz53000, wzz54000, cb), LT)
new_esEs29(wzz23, wzz18, ty_@0) → new_esEs16(wzz23, wzz18)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_primMulInt(Pos(wzz5010), Pos(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_compare19(Integer(wzz53000), Integer(wzz54000)) → new_primCmpInt(wzz53000, wzz54000)
new_ltEs12(wzz5300, wzz5400) → new_fsEs(new_compare8(wzz5300, wzz5400))
new_esEs12(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_ltEs21(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs18(wzz500, wzz4000)
new_ltEs20(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_primMulInt(Neg(wzz5010), Neg(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_ltEs19(wzz53002, wzz54002, app(ty_Ratio, chh)) → new_ltEs6(wzz53002, wzz54002, chh)
new_lt15(wzz53000, wzz54000, cca, ccb) → new_esEs8(new_compare18(wzz53000, wzz54000, cca, ccb), LT)
new_ltEs8(wzz53001, wzz54001, app(ty_Maybe, bca)) → new_ltEs9(wzz53001, wzz54001, bca)
new_lt9(wzz530, wzz540) → new_esEs8(new_compare8(wzz530, wzz540), LT)
new_primEqNat0(Succ(wzz5000), Zero) → False
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_esEs21(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_ltEs19(wzz53002, wzz54002, ty_Int) → new_ltEs12(wzz53002, wzz54002)
new_esEs26(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_esEs7(wzz53000, wzz54000, cca, ccb)
new_esEs24(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(Nothing, Nothing, dga) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_Either, bfc), bfd)) → new_ltEs14(wzz53000, wzz54000, bfc, bfd)
new_esEs22(wzz502, wzz4002, app(ty_Ratio, bgd)) → new_esEs15(wzz502, wzz4002, bgd)
new_ltEs21(wzz5300, wzz5400, app(app(ty_@2, dfg), dfh)) → new_ltEs7(wzz5300, wzz5400, dfg, dfh)
new_esEs13(wzz500, wzz4000, app(app(ty_@2, gg), gh)) → new_esEs7(wzz500, wzz4000, gg, gh)
new_esEs20(wzz500, wzz4000, app(app(ty_Either, hh), baa)) → new_esEs6(wzz500, wzz4000, hh, baa)
new_esEs22(wzz502, wzz4002, ty_Int) → new_esEs9(wzz502, wzz4002)
new_compare210(wzz53000, wzz54000, True) → EQ
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs29(wzz23, wzz18, app(app(ty_Either, eac), ead)) → new_esEs6(wzz23, wzz18, eac, ead)
new_ltEs21(wzz5300, wzz5400, app(app(app(ty_@3, dfa), dfb), dfc)) → new_ltEs5(wzz5300, wzz5400, dfa, dfb, dfc)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_@0, ccd) → new_ltEs13(wzz53000, wzz54000)
new_esEs23(wzz501, wzz4001, app(ty_[], bhe)) → new_esEs14(wzz501, wzz4001, bhe)
new_esEs29(wzz23, wzz18, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs5(wzz23, wzz18, dhg, dhh, eaa)
new_compare9(wzz53000, wzz54000) → new_compare24(wzz53000, wzz54000, new_esEs11(wzz53000, wzz54000))
new_esEs12(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs24(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_ltEs8(wzz53001, wzz54001, ty_Float) → new_ltEs11(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Ratio, bch)) → new_ltEs6(wzz53001, wzz54001, bch)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz5400))) → new_primCmpNat0(Succ(wzz5400), Zero)
new_lt20(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_lt15(wzz53001, wzz54001, cgg, cgh)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz5400))) → GT
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_[], dda)) → new_esEs14(wzz500, wzz4000, dda)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Ordering, dbe) → new_esEs8(wzz500, wzz4000)
new_compare110(wzz53000, wzz54000, False, ca) → GT
new_lt12(wzz53000, wzz54000, cfd, cfe) → new_esEs8(new_compare16(wzz53000, wzz54000, cfd, cfe), LT)
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_ltEs20(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs19(wzz53002, wzz54002, ty_Bool) → new_ltEs17(wzz53002, wzz54002)
new_ltEs7(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bae, baf) → new_pePe(new_lt7(wzz53000, wzz54000, bae), new_asAs(new_esEs21(wzz53000, wzz54000, bae), new_ltEs8(wzz53001, wzz54001, baf)))
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_[], dgb)) → new_esEs14(wzz500, wzz4000, dgb)
new_esEs27(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_lt18(wzz53000, wzz54000) → new_esEs8(new_compare26(wzz53000, wzz54000), LT)
new_compare25(wzz53000, wzz54000, False, dg, dh, ea) → new_compare11(wzz53000, wzz54000, new_ltEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs21(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs25(wzz53001, wzz54001, ty_Double) → new_esEs10(wzz53001, wzz54001)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(app(ty_@3, cea), ceb), cec)) → new_ltEs5(wzz53000, wzz54000, cea, ceb, cec)
new_esEs13(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs21(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_esEs4(wzz53000, wzz54000, bag)
new_esEs19(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_esEs22(wzz502, wzz4002, ty_Char) → new_esEs19(wzz502, wzz4002)
new_compare29(Right(wzz5300), Left(wzz5400), False, dee, def) → GT
new_esEs10(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_lt19(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_lt13(wzz53000, wzz54000, cff)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bhf)) → new_esEs15(wzz501, wzz4001, bhf)
new_esEs21(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_compare29(Left(wzz5300), Left(wzz5400), False, dee, def) → new_compare114(wzz5300, wzz5400, new_ltEs20(wzz5300, wzz5400, dee), dee, def)
new_ltEs14(Left(wzz53000), Right(wzz54000), cdf, ccd) → True
new_esEs12(wzz501, wzz4001, app(app(ty_Either, fb), fc)) → new_esEs6(wzz501, wzz4001, fb, fc)
new_compare15(wzz53000, wzz54000, app(ty_Ratio, beb)) → new_compare12(wzz53000, wzz54000, beb)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_Bool) → new_esEs11(wzz42, wzz37)
new_esEs12(wzz501, wzz4001, app(ty_Maybe, fa)) → new_esEs4(wzz501, wzz4001, fa)
new_ltEs19(wzz53002, wzz54002, app(app(ty_@2, daa), dab)) → new_ltEs7(wzz53002, wzz54002, daa, dab)
new_asAs(False, wzz156) → False
new_ltEs20(wzz5300, wzz5400, app(app(ty_Either, cdf), ccd)) → new_ltEs14(wzz5300, wzz5400, cdf, ccd)
new_ltEs19(wzz53002, wzz54002, app(app(ty_Either, chf), chg)) → new_ltEs14(wzz53002, wzz54002, chf, chg)
new_primMulInt(Pos(wzz5010), Neg(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Pos(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulNat0(Succ(wzz50100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz400100)) → Zero
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Ratio, cdc), ccd) → new_ltEs6(wzz53000, wzz54000, cdc)
new_esEs25(wzz53001, wzz54001, ty_@0) → new_esEs16(wzz53001, wzz54001)
new_lt19(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_lt15(wzz53000, wzz54000, cca, ccb)
new_esEs13(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cae), caf)) → new_esEs7(wzz501, wzz4001, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_ltEs6(wzz5300, wzz5400, bad) → new_fsEs(new_compare12(wzz5300, wzz5400, bad))
new_lt19(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_ltEs21(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_lt20(wzz53001, wzz54001, ty_Float) → new_lt8(wzz53001, wzz54001)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Double, dbe) → new_esEs10(wzz500, wzz4000)
new_compare24(wzz53000, wzz54000, False) → new_compare111(wzz53000, wzz54000, new_ltEs17(wzz53000, wzz54000))
new_esEs24(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_lt19(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_lt12(wzz53000, wzz54000, cfd, cfe)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_Either, ced), cee)) → new_ltEs14(wzz53000, wzz54000, ced, cee)
new_esEs11(True, True) → True
new_ltEs17(True, True) → True
new_lt19(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_lt10(wzz53000, wzz54000, dg, dh, ea)
new_lt7(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_esEs16(@0, @0) → True
new_esEs26(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_compare17(Double(wzz53000, wzz53001), Double(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Integer) → new_compare19(wzz53000, wzz54000)
new_esEs5(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bfh, bga, bgb) → new_asAs(new_esEs24(wzz500, wzz4000, bfh), new_asAs(new_esEs23(wzz501, wzz4001, bga), new_esEs22(wzz502, wzz4002, bgb)))
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_esEs31(wzz50, wzz400, app(app(ty_Either, dba), dbb)) → new_esEs6(wzz50, wzz400, dba, dbb)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_Either, cda), cdb), ccd) → new_ltEs14(wzz53000, wzz54000, cda, cdb)
new_ltEs19(wzz53002, wzz54002, app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(wzz53002, wzz54002, chc, chd, che)
new_ltEs8(wzz53001, wzz54001, ty_Double) → new_ltEs15(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Char) → new_lt5(wzz53001, wzz54001)
new_lt19(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Int) → new_compare8(new_sr(wzz53000, wzz54001), new_sr(wzz54000, wzz53001))
new_ltEs21(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs19(wzz500, wzz4000)
new_lt7(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt10(wzz53000, wzz54000, bba, bbb, bbc)
new_lt19(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_lt4(wzz53000, wzz54000, ca)
new_ltEs20(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_esEs32(wzz42, wzz37, app(ty_Ratio, ce)) → new_esEs15(wzz42, wzz37, ce)
new_esEs32(wzz42, wzz37, app(app(ty_Either, dc), dd)) → new_esEs6(wzz42, wzz37, dc, dd)
new_ltEs17(False, True) → True
new_esEs31(wzz50, wzz400, app(ty_Maybe, dah)) → new_esEs4(wzz50, wzz400, dah)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Ratio, bfe)) → new_ltEs6(wzz53000, wzz54000, bfe)
new_esEs25(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs5(wzz53001, wzz54001, cga, cgb, cgc)
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_ltEs20(wzz5300, wzz5400, app(ty_Ratio, bad)) → new_ltEs6(wzz5300, wzz5400, bad)
new_esEs22(wzz502, wzz4002, app(app(ty_Either, bha), bhb)) → new_esEs6(wzz502, wzz4002, bha, bhb)
new_ltEs21(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_esEs22(wzz502, wzz4002, ty_Integer) → new_esEs17(wzz502, wzz4002)
new_compare15(wzz53000, wzz54000, app(ty_Maybe, bdc)) → new_compare5(wzz53000, wzz54000, bdc)
new_esEs28(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_@2, dhb), dhc)) → new_esEs7(wzz500, wzz4000, dhb, dhc)
new_ltEs11(wzz5300, wzz5400) → new_fsEs(new_compare14(wzz5300, wzz5400))
new_esEs13(wzz500, wzz4000, app(ty_Ratio, fh)) → new_esEs15(wzz500, wzz4000, fh)
new_ltEs10(wzz5300, wzz5400) → new_fsEs(new_compare7(wzz5300, wzz5400))
new_compare27(wzz53000, wzz54000, True, ca) → EQ
new_ltEs19(wzz53002, wzz54002, ty_Double) → new_ltEs15(wzz53002, wzz54002)
new_esEs30(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_compare14(Float(wzz53000, wzz53001), Float(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs21(wzz5300, wzz5400, app(ty_[], deh)) → new_ltEs4(wzz5300, wzz5400, deh)
new_esEs20(wzz500, wzz4000, app(app(ty_@2, bab), bac)) → new_esEs7(wzz500, wzz4000, bab, bac)
new_lt19(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_esEs6(wzz53000, wzz54000, cfd, cfe)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs12(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs13(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_compare15(wzz53000, wzz54000, ty_Bool) → new_compare9(wzz53000, wzz54000)
new_esEs12(wzz501, wzz4001, app(ty_[], ed)) → new_esEs14(wzz501, wzz4001, ed)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Char, ccd) → new_ltEs10(wzz53000, wzz54000)
new_asAs(True, wzz156) → wzz156
new_compare15(wzz53000, wzz54000, ty_Ordering) → new_compare26(wzz53000, wzz54000)
new_compare112(wzz53000, wzz54000, True, cca, ccb) → LT
new_esEs26(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_esEs5(wzz53000, wzz54000, dg, dh, ea)
new_esEs30(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_primMulNat0(Succ(wzz50100), Succ(wzz400100)) → new_primPlusNat0(new_primMulNat0(wzz50100, Succ(wzz400100)), wzz400100)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Float, dbe) → new_esEs18(wzz500, wzz4000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Ordering, ccd) → new_ltEs18(wzz53000, wzz54000)
new_esEs7(@2(wzz500, wzz501), @2(wzz4000, wzz4001), eb, ec) → new_asAs(new_esEs13(wzz500, wzz4000, eb), new_esEs12(wzz501, wzz4001, ec))
new_esEs13(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_ltEs19(wzz53002, wzz54002, ty_Ordering) → new_ltEs18(wzz53002, wzz54002)
new_lt20(wzz53001, wzz54001, ty_Bool) → new_lt17(wzz53001, wzz54001)
new_fsEs(wzz171) → new_not(new_esEs8(wzz171, GT))
new_lt20(wzz53001, wzz54001, ty_@0) → new_lt11(wzz53001, wzz54001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(wzz501, wzz4001, bhg, bhh, caa)
new_lt20(wzz53001, wzz54001, ty_Int) → new_lt9(wzz53001, wzz54001)
new_esEs20(wzz500, wzz4000, app(ty_[], hb)) → new_esEs14(wzz500, wzz4000, hb)
new_ltEs8(wzz53001, wzz54001, ty_Integer) → new_ltEs16(wzz53001, wzz54001)
new_esEs9(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(app(app(ty_@3, bfh), bga), bgb)) → new_esEs5(wzz50, wzz400, bfh, bga, bgb)
new_lt19(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs29(wzz23, wzz18, app(ty_Maybe, eab)) → new_esEs4(wzz23, wzz18, eab)
new_ltEs20(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_lt7(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs32(wzz42, wzz37, ty_Char) → new_esEs19(wzz42, wzz37)
new_esEs12(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_lt20(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_lt13(wzz53001, wzz54001, cgf)
new_ltEs20(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_esEs20(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_compare28(wzz53000, wzz54000, False, cca, ccb) → new_compare112(wzz53000, wzz54000, new_ltEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_primCompAux00(wzz202, GT) → GT
new_esEs24(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_compare15(wzz53000, wzz54000, ty_Double) → new_compare17(wzz53000, wzz54000)
new_lt20(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_lt4(wzz53001, wzz54001, cfg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(wzz500, wzz4000, ddc, ddd, dde)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Maybe, cdg)) → new_ltEs9(wzz53000, wzz54000, cdg)
new_esEs29(wzz23, wzz18, ty_Ordering) → new_esEs8(wzz23, wzz18)
new_esEs30(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_compare15(wzz53000, wzz54000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare10(wzz53000, wzz54000, bde, bdf, bdg)
new_esEs21(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs31(wzz50, wzz400, app(app(ty_@2, dbc), dbd)) → new_esEs7(wzz50, wzz400, dbc, dbd)
new_primCmpInt(Neg(Succ(wzz5300)), Pos(wzz540)) → LT
new_not(True) → False
new_lt7(wzz53000, wzz54000, app(ty_[], bah)) → new_lt6(wzz53000, wzz54000, bah)

The set Q consists of the following terms:

new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare15(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_primEqNat0(Succ(x0), Zero)
new_ltEs8(x0, x1, ty_Double)
new_compare(:(x0, x1), [], x2)
new_ltEs9(Just(x0), Just(x1), app(ty_[], x2))
new_compare([], :(x0, x1), x2)
new_esEs11(True, True)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Float)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Float)
new_esEs12(x0, x1, ty_Int)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_primEqNat0(Zero, Succ(x0))
new_lt7(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, ty_Bool)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_esEs18(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Float)
new_compare15(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Int)
new_compare110(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, ty_Double)
new_esEs8(GT, GT)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_compare25(x0, x1, False, x2, x3, x4)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Nothing, x1)
new_esEs29(x0, x1, ty_Float)
new_lt19(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs8(LT, LT)
new_ltEs9(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_compare25(x0, x1, True, x2, x3, x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs16(@0, @0)
new_compare114(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs31(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Char)
new_compare15(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Double)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Double)
new_lt7(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_compare9(x0, x1)
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare24(x0, x1, False)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs13(x0, x1, ty_Int)
new_ltEs17(False, False)
new_ltEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_@0)
new_ltEs8(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Float)
new_ltEs18(GT, LT)
new_ltEs18(LT, GT)
new_compare210(x0, x1, False)
new_esEs27(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_@0)
new_ltEs8(x0, x1, ty_Integer)
new_lt13(x0, x1, x2)
new_ltEs10(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Bool)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Bool)
new_compare11(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare16(x0, x1, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(x0, x1)
new_ltEs9(Just(x0), Just(x1), ty_Char)
new_esEs23(x0, x1, ty_Double)
new_asAs(False, x0)
new_ltEs16(x0, x1)
new_primMulNat0(Zero, Zero)
new_compare29(Left(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Bool)
new_ltEs18(EQ, LT)
new_ltEs18(LT, EQ)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Integer)
new_compare([], [], x0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs8(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs29(x0, x1, ty_Char)
new_lt19(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Ordering)
new_lt14(x0, x1)
new_compare10(x0, x1, x2, x3, x4)
new_ltEs17(True, True)
new_esEs21(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs25(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_compare29(Right(x0), Left(x1), False, x2, x3)
new_compare29(Left(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_compare17(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, ty_Ordering)
new_ltEs8(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs31(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt15(x0, x1, x2, x3)
new_lt19(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Int)
new_ltEs9(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare28(x0, x1, False, x2, x3)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare8(x0, x1)
new_esEs11(False, False)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs13(x0, x1, app(ty_[], x2))
new_compare27(x0, x1, True, x2)
new_esEs23(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_lt17(x0, x1)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1)
new_esEs24(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_Int)
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_esEs21(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_esEs13(x0, x1, ty_Ordering)
new_pePe(False, x0)
new_lt19(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs14([], :(x0, x1), x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare15(x0, x1, app(ty_[], x2))
new_primPlusNat1(Zero, Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs31(x0, x1, ty_Int)
new_pePe(True, x0)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3, x4)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, x2)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Char)
new_ltEs9(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, ty_Ordering)
new_compare112(x0, x1, True, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_lt7(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs26(x0, x1, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, ty_Integer)
new_primCompAux00(x0, GT)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs9(Nothing, Just(x0), x1)
new_lt19(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_sr0(Integer(x0), Integer(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt10(x0, x1, x2, x3, x4)
new_compare27(x0, x1, False, x2)
new_compare29(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs9(Just(x0), Just(x1), ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs9(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs15(:%(x0, x1), :%(x2, x3), x4)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs12(x0, x1, app(ty_[], x2))
new_compare15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs29(x0, x1, ty_@0)
new_esEs12(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_fsEs(x0)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_lt7(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, x2, x3)
new_ltEs9(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs9(Just(x0), Just(x1), ty_@0)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs20(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt5(x0, x1)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs8(EQ, EQ)
new_esEs12(x0, x1, ty_@0)
new_ltEs12(x0, x1)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs9(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs14([], [], x0)
new_esEs28(x0, x1, ty_Integer)
new_primPlusNat0(Succ(x0), x1)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_sr(x0, x1)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs11(x0, x1)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, False, x2, x3)
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, ty_Double)
new_ltEs18(LT, LT)
new_ltEs20(x0, x1, ty_Int)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs24(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Just(x0), x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs20(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs8(x0, x1, ty_Char)
new_compare18(x0, x1, x2, x3)
new_compare210(x0, x1, True)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_compare13(x0, x1, False)
new_compare6(@0, @0)
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_compare29(Right(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, ty_Integer)
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_ltEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_primMulNat0(Succ(x0), Succ(x1))
new_compare113(x0, x1, True, x2, x3)
new_ltEs18(EQ, GT)
new_ltEs18(GT, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Zero, Zero)
new_ltEs8(x0, x1, ty_Bool)
new_esEs14(:(x0, x1), [], x2)
new_esEs21(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_compare15(x0, x1, ty_Float)
new_ltEs8(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs9(Nothing, Nothing, x0)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_ltEs9(Just(x0), Just(x1), ty_Double)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_ltEs9(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_compare28(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare114(x0, x1, True, x2, x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False)
new_ltEs8(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_asAs(True, x0)
new_lt4(x0, x1, x2)
new_esEs28(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare112(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs4(Nothing, Nothing, x0)
new_compare15(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_@0)
new_ltEs9(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs13(x0, x1, ty_@0)
new_esEs20(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs18(EQ, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare15(x0, x1, ty_Char)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_not(True)
new_esEs24(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_compare110(x0, x1, True, x2)
new_esEs26(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare24(x0, x1, True)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt7(x0, x1, ty_Bool)
new_not(False)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Integer)
new_esEs19(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Int)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_lt18(x0, x1)
new_ltEs17(False, True)
new_ltEs17(True, False)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare26(x0, x1)
new_compare15(x0, x1, ty_Double)
new_compare19(Integer(x0), Integer(x1))
new_esEs25(x0, x1, ty_Int)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Ordering)
new_lt9(x0, x1)
new_compare15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_Integer)
new_compare5(x0, x1, x2)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_primCompAux0(x0, x1, x2, x3)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Bool)
new_ltEs18(GT, GT)
new_esEs32(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Ordering)
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs10(Double(x0, x1), Double(x2, x3))
new_primPlusNat0(Zero, x0)
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Float)
new_esEs17(Integer(x0), Integer(x1))
new_lt7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, EQ)
new_esEs25(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Float)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs13(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs26(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Bool)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_lt7(x0, x1, ty_Char)
new_compare(:(x0, x1), :(x2, x3), x4)
new_esEs21(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_lt20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Bool)
new_compare14(Float(x0, x1), Float(x2, x3))
new_lt8(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs9(Just(x0), Just(x1), ty_Float)
new_esEs32(x0, x1, ty_Float)
new_compare15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(Char(x0), Char(x1))
new_ltEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Bool)
new_lt7(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))

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

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

new_addToFM_C2(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, h, ba, bb) → new_addToFM_C(wzz17, wzz21, Left(wzz23), wzz24, h, ba, bb)
new_addToFM_C(wzz3, Branch(Left(wzz400), wzz41, wzz42, wzz43, wzz44), Left(wzz50), wzz6, bc, bd, be) → new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Left(wzz400), new_esEs30(wzz50, wzz400, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz43, Left(wzz50), wzz6, bc, bd, be)
new_addToFM_C1(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, h, ba, bb) → new_addToFM_C(wzz17, wzz22, Left(wzz23), wzz24, h, ba, bb)
new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz44, Left(wzz50), wzz6, bc, bd, be)
new_addToFM_C(wzz3, Branch(Right(wzz400), wzz41, wzz42, wzz43, wzz44), Left(wzz50), wzz6, bc, bd, be) → new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Right(wzz400), False, bc, bd), LT), bc, bd, be)
new_addToFM_C2(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, False, h, ba, bb) → new_addToFM_C1(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, new_esEs8(new_compare29(Left(wzz23), Left(wzz18), new_esEs29(wzz23, wzz18, h), h, ba), GT), h, ba, bb)
new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, bc, bd, be) → new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Right(wzz400), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_compare29(Left(wzz5300), Right(wzz5400), False, dee, def) → LT
new_esEs8(LT, LT) → True
new_esEs8(GT, LT) → False
new_esEs8(EQ, LT) → False
new_esEs30(wzz50, wzz400, app(ty_[], ha)) → new_esEs14(wzz50, wzz400, ha)
new_esEs30(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(ty_Ratio, dhd)) → new_esEs15(wzz50, wzz400, dhd)
new_esEs30(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs30(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_esEs30(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(ty_Maybe, dga)) → new_esEs4(wzz50, wzz400, dga)
new_esEs30(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(app(ty_Either, dch), dbe)) → new_esEs6(wzz50, wzz400, dch, dbe)
new_esEs30(wzz50, wzz400, app(app(ty_@2, eb), ec)) → new_esEs7(wzz50, wzz400, eb, ec)
new_esEs30(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_esEs30(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(app(app(ty_@3, bfh), bga), bgb)) → new_esEs5(wzz50, wzz400, bfh, bga, bgb)
new_esEs30(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_compare29(wzz530, wzz540, True, dee, def) → EQ
new_compare29(Left(wzz5300), Left(wzz5400), False, dee, def) → new_compare114(wzz5300, wzz5400, new_ltEs20(wzz5300, wzz5400, dee), dee, def)
new_ltEs20(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(app(ty_@2, bae), baf)) → new_ltEs7(wzz5300, wzz5400, bae, baf)
new_ltEs20(wzz5300, wzz5400, app(ty_Maybe, bee)) → new_ltEs9(wzz5300, wzz5400, bee)
new_ltEs20(wzz5300, wzz5400, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs5(wzz5300, wzz5400, cfa, cfb, cfc)
new_ltEs20(wzz5300, wzz5400, app(ty_[], cc)) → new_ltEs4(wzz5300, wzz5400, cc)
new_ltEs20(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(app(ty_Either, cdf), ccd)) → new_ltEs14(wzz5300, wzz5400, cdf, ccd)
new_ltEs20(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(ty_Ratio, bad)) → new_ltEs6(wzz5300, wzz5400, bad)
new_ltEs20(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_compare114(wzz161, wzz162, True, eag, eah) → LT
new_compare114(wzz161, wzz162, False, eag, eah) → GT
new_ltEs10(wzz5300, wzz5400) → new_fsEs(new_compare7(wzz5300, wzz5400))
new_compare7(Char(wzz53000), Char(wzz54000)) → new_primCmpNat0(wzz53000, wzz54000)
new_fsEs(wzz171) → new_not(new_esEs8(wzz171, GT))
new_esEs8(GT, GT) → True
new_esEs8(LT, GT) → False
new_esEs8(EQ, GT) → False
new_not(False) → True
new_not(True) → False
new_primCmpNat0(Zero, Succ(wzz5400)) → LT
new_primCmpNat0(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat0(wzz5300, wzz5400)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(wzz5300), Zero) → GT
new_ltEs13(wzz5300, wzz5400) → new_fsEs(new_compare6(wzz5300, wzz5400))
new_compare6(@0, @0) → EQ
new_ltEs6(wzz5300, wzz5400, bad) → new_fsEs(new_compare12(wzz5300, wzz5400, bad))
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Integer) → new_compare19(new_sr0(wzz53000, wzz54001), new_sr0(wzz54000, wzz53001))
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Int) → new_compare8(new_sr(wzz53000, wzz54001), new_sr(wzz54000, wzz53001))
new_sr(wzz501, wzz4001) → new_primMulInt(wzz501, wzz4001)
new_compare8(wzz53, wzz54) → new_primCmpInt(wzz53, wzz54)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz5300)), Neg(wzz540)) → new_primCmpNat0(wzz540, Succ(wzz5300))
new_primCmpInt(Neg(Zero), Pos(Succ(wzz5400))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(wzz5400))) → new_primCmpNat0(Zero, Succ(wzz5400))
new_primCmpInt(Pos(Succ(wzz5300)), Pos(wzz540)) → new_primCmpNat0(Succ(wzz5300), wzz540)
new_primCmpInt(Pos(Succ(wzz5300)), Neg(wzz540)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(wzz5400))) → new_primCmpNat0(Succ(wzz5400), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz5400))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz5300)), Pos(wzz540)) → LT
new_primMulInt(Pos(wzz5010), Pos(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Neg(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Pos(wzz5010), Neg(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Pos(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(wzz50100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz400100)) → Zero
new_primMulNat0(Succ(wzz50100), Succ(wzz400100)) → new_primPlusNat0(new_primMulNat0(wzz50100, Succ(wzz400100)), wzz400100)
new_primPlusNat0(Succ(wzz1340), wzz400100) → Succ(Succ(new_primPlusNat1(wzz1340, wzz400100)))
new_primPlusNat0(Zero, wzz400100) → Succ(wzz400100)
new_primPlusNat1(Succ(wzz56200), Zero) → Succ(wzz56200)
new_primPlusNat1(Zero, Succ(wzz12500)) → Succ(wzz12500)
new_primPlusNat1(Succ(wzz56200), Succ(wzz12500)) → Succ(Succ(new_primPlusNat1(wzz56200, wzz12500)))
new_primPlusNat1(Zero, Zero) → Zero
new_sr0(Integer(wzz530000), Integer(wzz540010)) → Integer(new_primMulInt(wzz530000, wzz540010))
new_compare19(Integer(wzz53000), Integer(wzz54000)) → new_primCmpInt(wzz53000, wzz54000)
new_ltEs11(wzz5300, wzz5400) → new_fsEs(new_compare14(wzz5300, wzz5400))
new_compare14(Float(wzz53000, wzz53001), Float(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Integer, ccd) → new_ltEs16(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Int, ccd) → new_ltEs12(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, ccf), ccg), cch), ccd) → new_ltEs5(wzz53000, wzz54000, ccf, ccg, cch)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_[], cdh)) → new_ltEs4(wzz53000, wzz54000, cdh)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Double, ccd) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_@2, ceg), ceh)) → new_ltEs7(wzz53000, wzz54000, ceg, ceh)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Float, ccd) → new_ltEs11(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Left(wzz54000), cdf, ccd) → False
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Bool, ccd) → new_ltEs17(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_[], cce), ccd) → new_ltEs4(wzz53000, wzz54000, cce)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_@2, cdd), cde), ccd) → new_ltEs7(wzz53000, wzz54000, cdd, cde)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Ratio, cef)) → new_ltEs6(wzz53000, wzz54000, cef)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_@0, ccd) → new_ltEs13(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(app(ty_@3, cea), ceb), cec)) → new_ltEs5(wzz53000, wzz54000, cea, ceb, cec)
new_ltEs14(Left(wzz53000), Right(wzz54000), cdf, ccd) → True
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Ratio, cdc), ccd) → new_ltEs6(wzz53000, wzz54000, cdc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Char, ccd) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Ordering, ccd) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Maybe, bef)) → new_ltEs9(wzz53000, wzz54000, bef)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Maybe, ccc), ccd) → new_ltEs9(wzz53000, wzz54000, ccc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_Either, ced), cee)) → new_ltEs14(wzz53000, wzz54000, ced, cee)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Maybe, cdg)) → new_ltEs9(wzz53000, wzz54000, cdg)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_Either, cda), cdb), ccd) → new_ltEs14(wzz53000, wzz54000, cda, cdb)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_Either, bfc), bfd)) → new_ltEs14(wzz53000, wzz54000, bfc, bfd)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs9(Nothing, Just(wzz54000), bee) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_[], beg)) → new_ltEs4(wzz53000, wzz54000, beg)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs5(wzz53000, wzz54000, beh, bfa, bfb)
new_ltEs9(Just(wzz53000), Nothing, bee) → False
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bff), bfg)) → new_ltEs7(wzz53000, wzz54000, bff, bfg)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Nothing, Nothing, bee) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Ratio, bfe)) → new_ltEs6(wzz53000, wzz54000, bfe)
new_ltEs15(wzz5300, wzz5400) → new_fsEs(new_compare17(wzz5300, wzz5400))
new_compare17(Double(wzz53000, wzz53001), Double(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs18(EQ, GT) → True
new_ltEs18(EQ, EQ) → True
new_ltEs18(LT, LT) → True
new_ltEs18(GT, GT) → True
new_ltEs18(LT, GT) → True
new_ltEs18(GT, LT) → False
new_ltEs18(GT, EQ) → False
new_ltEs18(EQ, LT) → False
new_ltEs18(LT, EQ) → True
new_ltEs7(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bae, baf) → new_pePe(new_lt7(wzz53000, wzz54000, bae), new_asAs(new_esEs21(wzz53000, wzz54000, bae), new_ltEs8(wzz53001, wzz54001, baf)))
new_lt7(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_lt15(wzz53000, wzz54000, bbg, bbh)
new_lt7(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_lt13(wzz53000, wzz54000, bbf)
new_lt7(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_lt4(wzz53000, wzz54000, bag)
new_lt7(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_lt12(wzz53000, wzz54000, bbd, bbe)
new_lt7(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt10(wzz53000, wzz54000, bba, bbb, bbc)
new_lt7(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(ty_[], bah)) → new_lt6(wzz53000, wzz54000, bah)
new_esEs21(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_esEs6(wzz53000, wzz54000, bbd, bbe)
new_esEs21(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_esEs7(wzz53000, wzz54000, bbg, bbh)
new_esEs21(wzz53000, wzz54000, app(ty_[], bah)) → new_esEs14(wzz53000, wzz54000, bah)
new_esEs21(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_esEs15(wzz53000, wzz54000, bbf)
new_esEs21(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs5(wzz53000, wzz54000, bba, bbb, bbc)
new_esEs21(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_esEs4(wzz53000, wzz54000, bag)
new_esEs21(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_ltEs8(wzz53001, wzz54001, ty_Bool) → new_ltEs17(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs5(wzz53001, wzz54001, bcc, bcd, bce)
new_ltEs8(wzz53001, wzz54001, app(ty_[], bcb)) → new_ltEs4(wzz53001, wzz54001, bcb)
new_ltEs8(wzz53001, wzz54001, app(app(ty_@2, bda), bdb)) → new_ltEs7(wzz53001, wzz54001, bda, bdb)
new_ltEs8(wzz53001, wzz54001, app(app(ty_Either, bcf), bcg)) → new_ltEs14(wzz53001, wzz54001, bcf, bcg)
new_ltEs8(wzz53001, wzz54001, ty_Int) → new_ltEs12(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Ordering) → new_ltEs18(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_@0) → new_ltEs13(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Char) → new_ltEs10(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Maybe, bca)) → new_ltEs9(wzz53001, wzz54001, bca)
new_ltEs8(wzz53001, wzz54001, ty_Float) → new_ltEs11(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Ratio, bch)) → new_ltEs6(wzz53001, wzz54001, bch)
new_ltEs8(wzz53001, wzz54001, ty_Double) → new_ltEs15(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Integer) → new_ltEs16(wzz53001, wzz54001)
new_asAs(False, wzz156) → False
new_asAs(True, wzz156) → wzz156
new_pePe(False, wzz188) → wzz188
new_pePe(True, wzz188) → True
new_ltEs16(wzz5300, wzz5400) → new_fsEs(new_compare19(wzz5300, wzz5400))
new_ltEs12(wzz5300, wzz5400) → new_fsEs(new_compare8(wzz5300, wzz5400))
new_ltEs4(wzz5300, wzz5400, cc) → new_fsEs(new_compare(wzz5300, wzz5400, cc))
new_compare([], :(wzz54000, wzz54001), cc) → LT
new_compare(:(wzz53000, wzz53001), [], cc) → GT
new_compare([], [], cc) → EQ
new_compare(:(wzz53000, wzz53001), :(wzz54000, wzz54001), cc) → new_primCompAux0(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, cc), cc)
new_primCompAux0(wzz53000, wzz54000, wzz189, cc) → new_primCompAux00(wzz189, new_compare15(wzz53000, wzz54000, cc))
new_compare15(wzz53000, wzz54000, app(app(ty_Either, bdh), bea)) → new_compare16(wzz53000, wzz54000, bdh, bea)
new_compare15(wzz53000, wzz54000, ty_Float) → new_compare14(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Int) → new_compare8(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_[], bdd)) → new_compare(wzz53000, wzz54000, bdd)
new_compare15(wzz53000, wzz54000, ty_@0) → new_compare6(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(app(ty_@2, bec), bed)) → new_compare18(wzz53000, wzz54000, bec, bed)
new_compare15(wzz53000, wzz54000, ty_Char) → new_compare7(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_Ratio, beb)) → new_compare12(wzz53000, wzz54000, beb)
new_compare15(wzz53000, wzz54000, ty_Integer) → new_compare19(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_Maybe, bdc)) → new_compare5(wzz53000, wzz54000, bdc)
new_compare15(wzz53000, wzz54000, ty_Bool) → new_compare9(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Ordering) → new_compare26(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Double) → new_compare17(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare10(wzz53000, wzz54000, bde, bdf, bdg)
new_primCompAux00(wzz202, LT) → LT
new_primCompAux00(wzz202, EQ) → wzz202
new_primCompAux00(wzz202, GT) → GT
new_compare10(wzz53000, wzz54000, dg, dh, ea) → new_compare25(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs5(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bfh, bga, bgb) → new_asAs(new_esEs24(wzz500, wzz4000, bfh), new_asAs(new_esEs23(wzz501, wzz4001, bga), new_esEs22(wzz502, wzz4002, bgb)))
new_compare25(wzz53000, wzz54000, True, dg, dh, ea) → EQ
new_compare25(wzz53000, wzz54000, False, dg, dh, ea) → new_compare11(wzz53000, wzz54000, new_ltEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_ltEs5(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), cfa, cfb, cfc) → new_pePe(new_lt19(wzz53000, wzz54000, cfa), new_asAs(new_esEs26(wzz53000, wzz54000, cfa), new_pePe(new_lt20(wzz53001, wzz54001, cfb), new_asAs(new_esEs25(wzz53001, wzz54001, cfb), new_ltEs19(wzz53002, wzz54002, cfc)))))
new_compare11(wzz53000, wzz54000, False, dg, dh, ea) → GT
new_compare11(wzz53000, wzz54000, True, dg, dh, ea) → LT
new_lt19(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(ty_[], cb)) → new_lt6(wzz53000, wzz54000, cb)
new_lt19(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_lt13(wzz53000, wzz54000, cff)
new_lt19(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_lt15(wzz53000, wzz54000, cca, ccb)
new_lt19(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_lt12(wzz53000, wzz54000, cfd, cfe)
new_lt19(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_lt10(wzz53000, wzz54000, dg, dh, ea)
new_lt19(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_lt4(wzz53000, wzz54000, ca)
new_lt19(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_esEs15(wzz53000, wzz54000, cff)
new_esEs26(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_esEs4(wzz53000, wzz54000, ca)
new_esEs26(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_[], cb)) → new_esEs14(wzz53000, wzz54000, cb)
new_esEs26(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_esEs7(wzz53000, wzz54000, cca, ccb)
new_esEs26(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_esEs6(wzz53000, wzz54000, cfd, cfe)
new_esEs26(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_esEs5(wzz53000, wzz54000, dg, dh, ea)
new_lt20(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_lt12(wzz53001, wzz54001, cgd, cge)
new_lt20(wzz53001, wzz54001, app(ty_[], cfh)) → new_lt6(wzz53001, wzz54001, cfh)
new_lt20(wzz53001, wzz54001, ty_Double) → new_lt14(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Integer) → new_lt16(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_lt10(wzz53001, wzz54001, cga, cgb, cgc)
new_lt20(wzz53001, wzz54001, ty_Ordering) → new_lt18(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_lt15(wzz53001, wzz54001, cgg, cgh)
new_lt20(wzz53001, wzz54001, ty_Float) → new_lt8(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Char) → new_lt5(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Bool) → new_lt17(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_@0) → new_lt11(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Int) → new_lt9(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_lt13(wzz53001, wzz54001, cgf)
new_lt20(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_lt4(wzz53001, wzz54001, cfg)
new_esEs25(wzz53001, wzz54001, app(ty_[], cfh)) → new_esEs14(wzz53001, wzz54001, cfh)
new_esEs25(wzz53001, wzz54001, ty_Char) → new_esEs19(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_esEs6(wzz53001, wzz54001, cgd, cge)
new_esEs25(wzz53001, wzz54001, ty_Integer) → new_esEs17(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_esEs7(wzz53001, wzz54001, cgg, cgh)
new_esEs25(wzz53001, wzz54001, ty_Ordering) → new_esEs8(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Bool) → new_esEs11(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_esEs15(wzz53001, wzz54001, cgf)
new_esEs25(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_esEs4(wzz53001, wzz54001, cfg)
new_esEs25(wzz53001, wzz54001, ty_Int) → new_esEs9(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Float) → new_esEs18(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Double) → new_esEs10(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_@0) → new_esEs16(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs5(wzz53001, wzz54001, cga, cgb, cgc)
new_ltEs19(wzz53002, wzz54002, ty_Integer) → new_ltEs16(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Float) → new_ltEs11(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_@0) → new_ltEs13(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(ty_[], chb)) → new_ltEs4(wzz53002, wzz54002, chb)
new_ltEs19(wzz53002, wzz54002, ty_Char) → new_ltEs10(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(ty_Maybe, cha)) → new_ltEs9(wzz53002, wzz54002, cha)
new_ltEs19(wzz53002, wzz54002, app(ty_Ratio, chh)) → new_ltEs6(wzz53002, wzz54002, chh)
new_ltEs19(wzz53002, wzz54002, ty_Int) → new_ltEs12(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Bool) → new_ltEs17(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(app(ty_@2, daa), dab)) → new_ltEs7(wzz53002, wzz54002, daa, dab)
new_ltEs19(wzz53002, wzz54002, app(app(ty_Either, chf), chg)) → new_ltEs14(wzz53002, wzz54002, chf, chg)
new_ltEs19(wzz53002, wzz54002, app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(wzz53002, wzz54002, chc, chd, che)
new_ltEs19(wzz53002, wzz54002, ty_Double) → new_ltEs15(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Ordering) → new_ltEs18(wzz53002, wzz54002)
new_ltEs17(False, False) → True
new_ltEs17(True, False) → False
new_ltEs17(True, True) → True
new_ltEs17(False, True) → True
new_esEs16(@0, @0) → True
new_esEs10(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs9(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_primEqNat0(Succ(wzz5000), Zero) → False
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_esEs18(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs4(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs4(Nothing, Just(wzz4000), dga) → False
new_esEs4(Just(wzz500), Nothing, dga) → False
new_esEs4(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, dgd), dge), dgf)) → new_esEs5(wzz500, wzz4000, dgd, dge, dgf)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Ratio, dgc)) → new_esEs15(wzz500, wzz4000, dgc)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs4(Nothing, Nothing, dga) → True
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_[], dgb)) → new_esEs14(wzz500, wzz4000, dgb)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_@2, dhb), dhc)) → new_esEs7(wzz500, wzz4000, dhb, dhc)
new_esEs4(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Maybe, dgg)) → new_esEs4(wzz500, wzz4000, dgg)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_Either, dgh), dha)) → new_esEs6(wzz500, wzz4000, dgh, dha)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Maybe, dcc), dbe) → new_esEs4(wzz500, wzz4000, dcc)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Maybe, ddf)) → new_esEs4(wzz500, wzz4000, ddf)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_Either, dcd), dce), dbe) → new_esEs6(wzz500, wzz4000, dcd, dce)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_Either, ddg), ddh)) → new_esEs6(wzz500, wzz4000, ddg, ddh)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Integer, dbe) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Int, dbe) → new_esEs9(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Ratio, dbg), dbe) → new_esEs15(wzz500, wzz4000, dbg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_@2, dea), deb)) → new_esEs7(wzz500, wzz4000, dea, deb)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Bool, dbe) → new_esEs11(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Ratio, ddb)) → new_esEs15(wzz500, wzz4000, ddb)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Char, dbe) → new_esEs19(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs6(Right(wzz500), Left(wzz4000), dch, dbe) → False
new_esEs6(Left(wzz500), Right(wzz4000), dch, dbe) → False
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_[], dbf), dbe) → new_esEs14(wzz500, wzz4000, dbf)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, dbh), dca), dcb), dbe) → new_esEs5(wzz500, wzz4000, dbh, dca, dcb)
new_esEs6(Left(wzz500), Left(wzz4000), ty_@0, dbe) → new_esEs16(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_@2, dcf), dcg), dbe) → new_esEs7(wzz500, wzz4000, dcf, dcg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_[], dda)) → new_esEs14(wzz500, wzz4000, dda)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Ordering, dbe) → new_esEs8(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Double, dbe) → new_esEs10(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Float, dbe) → new_esEs18(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(wzz500, wzz4000, ddc, ddd, dde)
new_esEs8(EQ, EQ) → True
new_esEs8(LT, EQ) → False
new_esEs8(GT, EQ) → False
new_esEs14(:(wzz500, wzz501), :(wzz4000, wzz4001), ha) → new_asAs(new_esEs20(wzz500, wzz4000, ha), new_esEs14(wzz501, wzz4001, ha))
new_esEs14([], [], ha) → True
new_esEs14([], :(wzz4000, wzz4001), ha) → False
new_esEs14(:(wzz500, wzz501), [], ha) → False
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(ty_Maybe, hg)) → new_esEs4(wzz500, wzz4000, hg)
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(ty_Ratio, hc)) → new_esEs15(wzz500, wzz4000, hc)
new_esEs20(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(app(app(ty_@3, hd), he), hf)) → new_esEs5(wzz500, wzz4000, hd, he, hf)
new_esEs20(wzz500, wzz4000, app(app(ty_Either, hh), baa)) → new_esEs6(wzz500, wzz4000, hh, baa)
new_esEs20(wzz500, wzz4000, app(app(ty_@2, bab), bac)) → new_esEs7(wzz500, wzz4000, bab, bac)
new_esEs20(wzz500, wzz4000, app(ty_[], hb)) → new_esEs14(wzz500, wzz4000, hb)
new_esEs20(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs7(@2(wzz500, wzz501), @2(wzz4000, wzz4001), eb, ec) → new_asAs(new_esEs13(wzz500, wzz4000, eb), new_esEs12(wzz501, wzz4001, ec))
new_esEs13(wzz500, wzz4000, app(ty_[], fg)) → new_esEs14(wzz500, wzz4000, fg)
new_esEs13(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Maybe, gd)) → new_esEs4(wzz500, wzz4000, gd)
new_esEs13(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(app(app(ty_@3, ga), gb), gc)) → new_esEs5(wzz500, wzz4000, ga, gb, gc)
new_esEs13(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(app(ty_Either, ge), gf)) → new_esEs6(wzz500, wzz4000, ge, gf)
new_esEs13(wzz500, wzz4000, app(app(ty_@2, gg), gh)) → new_esEs7(wzz500, wzz4000, gg, gh)
new_esEs13(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Ratio, fh)) → new_esEs15(wzz500, wzz4000, fh)
new_esEs13(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs12(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_@2, fd), ff)) → new_esEs7(wzz501, wzz4001, fd, ff)
new_esEs12(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(app(ty_@3, ef), eg), eh)) → new_esEs5(wzz501, wzz4001, ef, eg, eh)
new_esEs12(wzz501, wzz4001, app(ty_Ratio, ee)) → new_esEs15(wzz501, wzz4001, ee)
new_esEs12(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_Either, fb), fc)) → new_esEs6(wzz501, wzz4001, fb, fc)
new_esEs12(wzz501, wzz4001, app(ty_Maybe, fa)) → new_esEs4(wzz501, wzz4001, fa)
new_esEs12(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(ty_[], ed)) → new_esEs14(wzz501, wzz4001, ed)
new_esEs12(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_esEs11(False, False) → True
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_esEs11(True, True) → True
new_esEs17(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs15(:%(wzz500, wzz501), :%(wzz4000, wzz4001), dhd) → new_asAs(new_esEs28(wzz500, wzz4000, dhd), new_esEs27(wzz501, wzz4001, dhd))
new_esEs28(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs28(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs27(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs27(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs19(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_lt4(wzz53000, wzz54000, ca) → new_esEs8(new_compare5(wzz53000, wzz54000, ca), LT)
new_compare5(wzz53000, wzz54000, ca) → new_compare27(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, ca), ca)
new_compare27(wzz53000, wzz54000, False, ca) → new_compare110(wzz53000, wzz54000, new_ltEs9(wzz53000, wzz54000, ca), ca)
new_compare27(wzz53000, wzz54000, True, ca) → EQ
new_compare110(wzz53000, wzz54000, True, ca) → LT
new_compare110(wzz53000, wzz54000, False, ca) → GT
new_lt13(wzz53000, wzz54000, cff) → new_esEs8(new_compare12(wzz53000, wzz54000, cff), LT)
new_lt9(wzz530, wzz540) → new_esEs8(new_compare8(wzz530, wzz540), LT)
new_lt11(wzz53000, wzz54000) → new_esEs8(new_compare6(wzz53000, wzz54000), LT)
new_lt17(wzz53000, wzz54000) → new_esEs8(new_compare9(wzz53000, wzz54000), LT)
new_compare9(wzz53000, wzz54000) → new_compare24(wzz53000, wzz54000, new_esEs11(wzz53000, wzz54000))
new_compare24(wzz53000, wzz54000, True) → EQ
new_compare24(wzz53000, wzz54000, False) → new_compare111(wzz53000, wzz54000, new_ltEs17(wzz53000, wzz54000))
new_compare111(wzz53000, wzz54000, False) → GT
new_compare111(wzz53000, wzz54000, True) → LT
new_lt5(wzz53000, wzz54000) → new_esEs8(new_compare7(wzz53000, wzz54000), LT)
new_lt8(wzz53000, wzz54000) → new_esEs8(new_compare14(wzz53000, wzz54000), LT)
new_lt15(wzz53000, wzz54000, cca, ccb) → new_esEs8(new_compare18(wzz53000, wzz54000, cca, ccb), LT)
new_compare18(wzz53000, wzz54000, cca, ccb) → new_compare28(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_compare28(wzz53000, wzz54000, True, cca, ccb) → EQ
new_compare28(wzz53000, wzz54000, False, cca, ccb) → new_compare112(wzz53000, wzz54000, new_ltEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_compare112(wzz53000, wzz54000, False, cca, ccb) → GT
new_compare112(wzz53000, wzz54000, True, cca, ccb) → LT
new_lt18(wzz53000, wzz54000) → new_esEs8(new_compare26(wzz53000, wzz54000), LT)
new_compare26(wzz53000, wzz54000) → new_compare210(wzz53000, wzz54000, new_esEs8(wzz53000, wzz54000))
new_compare210(wzz53000, wzz54000, False) → new_compare13(wzz53000, wzz54000, new_ltEs18(wzz53000, wzz54000))
new_compare210(wzz53000, wzz54000, True) → EQ
new_compare13(wzz53000, wzz54000, False) → GT
new_compare13(wzz53000, wzz54000, True) → LT
new_lt10(wzz53000, wzz54000, dg, dh, ea) → new_esEs8(new_compare10(wzz53000, wzz54000, dg, dh, ea), LT)
new_lt16(wzz53000, wzz54000) → new_esEs8(new_compare19(wzz53000, wzz54000), LT)
new_lt14(wzz53000, wzz54000) → new_esEs8(new_compare17(wzz53000, wzz54000), LT)
new_lt6(wzz53000, wzz54000, cb) → new_esEs8(new_compare(wzz53000, wzz54000, cb), LT)
new_lt12(wzz53000, wzz54000, cfd, cfe) → new_esEs8(new_compare16(wzz53000, wzz54000, cfd, cfe), LT)
new_compare16(wzz53000, wzz54000, cfd, cfe) → new_compare29(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, cfd, cfe), cfd, cfe)
new_compare29(Right(wzz5300), Right(wzz5400), False, dee, def) → new_compare113(wzz5300, wzz5400, new_ltEs21(wzz5300, wzz5400, def), dee, def)
new_compare29(Right(wzz5300), Left(wzz5400), False, dee, def) → GT
new_ltEs21(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_Maybe, deg)) → new_ltEs9(wzz5300, wzz5400, deg)
new_ltEs21(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_Ratio, dff)) → new_ltEs6(wzz5300, wzz5400, dff)
new_ltEs21(wzz5300, wzz5400, app(app(ty_Either, dfd), dfe)) → new_ltEs14(wzz5300, wzz5400, dfd, dfe)
new_ltEs21(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(app(ty_@2, dfg), dfh)) → new_ltEs7(wzz5300, wzz5400, dfg, dfh)
new_ltEs21(wzz5300, wzz5400, app(app(app(ty_@3, dfa), dfb), dfc)) → new_ltEs5(wzz5300, wzz5400, dfa, dfb, dfc)
new_ltEs21(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_[], deh)) → new_ltEs4(wzz5300, wzz5400, deh)
new_compare113(wzz168, wzz169, True, dec, ded) → LT
new_compare113(wzz168, wzz169, False, dec, ded) → GT
new_esEs24(wzz500, wzz4000, app(ty_Ratio, cah)) → new_esEs15(wzz500, wzz4000, cah)
new_esEs24(wzz500, wzz4000, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs5(wzz500, wzz4000, cba, cbb, cbc)
new_esEs24(wzz500, wzz4000, app(ty_Maybe, cbd)) → new_esEs4(wzz500, wzz4000, cbd)
new_esEs24(wzz500, wzz4000, app(app(ty_@2, cbg), cbh)) → new_esEs7(wzz500, wzz4000, cbg, cbh)
new_esEs24(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, app(app(ty_Either, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs24(wzz500, wzz4000, app(ty_[], cag)) → new_esEs14(wzz500, wzz4000, cag)
new_esEs24(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(ty_Maybe, cab)) → new_esEs4(wzz501, wzz4001, cab)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, cac), cad)) → new_esEs6(wzz501, wzz4001, cac, cad)
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(ty_[], bhe)) → new_esEs14(wzz501, wzz4001, bhe)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bhf)) → new_esEs15(wzz501, wzz4001, bhf)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cae), caf)) → new_esEs7(wzz501, wzz4001, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(wzz501, wzz4001, bhg, bhh, caa)
new_esEs22(wzz502, wzz4002, app(ty_[], bgc)) → new_esEs14(wzz502, wzz4002, bgc)
new_esEs22(wzz502, wzz4002, ty_Ordering) → new_esEs8(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(app(ty_@2, bhc), bhd)) → new_esEs7(wzz502, wzz4002, bhc, bhd)
new_esEs22(wzz502, wzz4002, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs5(wzz502, wzz4002, bge, bgf, bgg)
new_esEs22(wzz502, wzz4002, app(ty_Maybe, bgh)) → new_esEs4(wzz502, wzz4002, bgh)
new_esEs22(wzz502, wzz4002, ty_Double) → new_esEs10(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_@0) → new_esEs16(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Float) → new_esEs18(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Bool) → new_esEs11(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(ty_Ratio, bgd)) → new_esEs15(wzz502, wzz4002, bgd)
new_esEs22(wzz502, wzz4002, ty_Int) → new_esEs9(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Char) → new_esEs19(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(app(ty_Either, bha), bhb)) → new_esEs6(wzz502, wzz4002, bha, bhb)
new_esEs22(wzz502, wzz4002, ty_Integer) → new_esEs17(wzz502, wzz4002)
new_esEs29(wzz23, wzz18, ty_Integer) → new_esEs17(wzz23, wzz18)
new_esEs29(wzz23, wzz18, ty_Int) → new_esEs9(wzz23, wzz18)
new_esEs29(wzz23, wzz18, ty_Float) → new_esEs18(wzz23, wzz18)
new_esEs29(wzz23, wzz18, app(ty_[], dhe)) → new_esEs14(wzz23, wzz18, dhe)
new_esEs29(wzz23, wzz18, app(app(ty_@2, eae), eaf)) → new_esEs7(wzz23, wzz18, eae, eaf)
new_esEs29(wzz23, wzz18, ty_Double) → new_esEs10(wzz23, wzz18)
new_esEs29(wzz23, wzz18, ty_Bool) → new_esEs11(wzz23, wzz18)
new_esEs29(wzz23, wzz18, ty_Char) → new_esEs19(wzz23, wzz18)
new_esEs29(wzz23, wzz18, app(ty_Ratio, dhf)) → new_esEs15(wzz23, wzz18, dhf)
new_esEs29(wzz23, wzz18, ty_@0) → new_esEs16(wzz23, wzz18)
new_esEs29(wzz23, wzz18, app(app(ty_Either, eac), ead)) → new_esEs6(wzz23, wzz18, eac, ead)
new_esEs29(wzz23, wzz18, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs5(wzz23, wzz18, dhg, dhh, eaa)
new_esEs29(wzz23, wzz18, app(ty_Maybe, eab)) → new_esEs4(wzz23, wzz18, eab)
new_esEs29(wzz23, wzz18, ty_Ordering) → new_esEs8(wzz23, wzz18)

The set Q consists of the following terms:

new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare15(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_primEqNat0(Succ(x0), Zero)
new_ltEs8(x0, x1, ty_Double)
new_compare(:(x0, x1), [], x2)
new_ltEs9(Just(x0), Just(x1), app(ty_[], x2))
new_compare([], :(x0, x1), x2)
new_esEs11(True, True)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Float)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Float)
new_esEs12(x0, x1, ty_Int)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_primEqNat0(Zero, Succ(x0))
new_lt7(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, ty_Bool)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_esEs18(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Float)
new_compare15(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Int)
new_compare110(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, ty_Double)
new_esEs8(GT, GT)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_compare25(x0, x1, False, x2, x3, x4)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Nothing, x1)
new_esEs29(x0, x1, ty_Float)
new_lt19(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs8(LT, LT)
new_ltEs9(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_compare25(x0, x1, True, x2, x3, x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs16(@0, @0)
new_compare114(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs31(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Char)
new_compare15(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Double)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Double)
new_lt7(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_compare9(x0, x1)
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare24(x0, x1, False)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs13(x0, x1, ty_Int)
new_ltEs17(False, False)
new_ltEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_@0)
new_ltEs8(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Float)
new_ltEs18(GT, LT)
new_ltEs18(LT, GT)
new_compare210(x0, x1, False)
new_esEs27(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_@0)
new_ltEs8(x0, x1, ty_Integer)
new_lt13(x0, x1, x2)
new_ltEs10(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Bool)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Bool)
new_compare11(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare16(x0, x1, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(x0, x1)
new_ltEs9(Just(x0), Just(x1), ty_Char)
new_esEs23(x0, x1, ty_Double)
new_asAs(False, x0)
new_ltEs16(x0, x1)
new_primMulNat0(Zero, Zero)
new_compare29(Left(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Bool)
new_ltEs18(EQ, LT)
new_ltEs18(LT, EQ)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Integer)
new_compare([], [], x0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs8(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs29(x0, x1, ty_Char)
new_lt19(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Ordering)
new_lt14(x0, x1)
new_compare10(x0, x1, x2, x3, x4)
new_ltEs17(True, True)
new_esEs21(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs25(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_compare29(Right(x0), Left(x1), False, x2, x3)
new_compare29(Left(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_compare17(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, ty_Ordering)
new_ltEs8(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_esEs31(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt15(x0, x1, x2, x3)
new_lt19(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Int)
new_ltEs9(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare28(x0, x1, False, x2, x3)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare8(x0, x1)
new_esEs11(False, False)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs13(x0, x1, app(ty_[], x2))
new_compare27(x0, x1, True, x2)
new_esEs23(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_lt17(x0, x1)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1)
new_esEs24(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_Int)
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_esEs21(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_esEs13(x0, x1, ty_Ordering)
new_pePe(False, x0)
new_lt19(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs14([], :(x0, x1), x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare15(x0, x1, app(ty_[], x2))
new_primPlusNat1(Zero, Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs31(x0, x1, ty_Int)
new_pePe(True, x0)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3, x4)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, x2)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Char)
new_ltEs9(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, ty_Ordering)
new_compare112(x0, x1, True, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_lt7(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs26(x0, x1, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, ty_Integer)
new_primCompAux00(x0, GT)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs9(Nothing, Just(x0), x1)
new_lt19(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_sr0(Integer(x0), Integer(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt10(x0, x1, x2, x3, x4)
new_compare27(x0, x1, False, x2)
new_compare29(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs9(Just(x0), Just(x1), ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs9(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs15(:%(x0, x1), :%(x2, x3), x4)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs12(x0, x1, app(ty_[], x2))
new_compare15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs29(x0, x1, ty_@0)
new_esEs12(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_fsEs(x0)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_lt7(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, x2, x3)
new_ltEs9(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs9(Just(x0), Just(x1), ty_@0)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs20(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt5(x0, x1)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs8(EQ, EQ)
new_esEs12(x0, x1, ty_@0)
new_ltEs12(x0, x1)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs9(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs14([], [], x0)
new_esEs28(x0, x1, ty_Integer)
new_primPlusNat0(Succ(x0), x1)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_sr(x0, x1)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs11(x0, x1)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, False, x2, x3)
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, ty_Double)
new_ltEs18(LT, LT)
new_ltEs20(x0, x1, ty_Int)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs24(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Just(x0), x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs20(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs8(x0, x1, ty_Char)
new_compare18(x0, x1, x2, x3)
new_compare210(x0, x1, True)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_compare13(x0, x1, False)
new_compare6(@0, @0)
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_compare29(Right(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, ty_Integer)
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_ltEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_primMulNat0(Succ(x0), Succ(x1))
new_compare113(x0, x1, True, x2, x3)
new_ltEs18(EQ, GT)
new_ltEs18(GT, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Zero, Zero)
new_ltEs8(x0, x1, ty_Bool)
new_esEs14(:(x0, x1), [], x2)
new_esEs21(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_compare15(x0, x1, ty_Float)
new_ltEs8(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs9(Nothing, Nothing, x0)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_ltEs9(Just(x0), Just(x1), ty_Double)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_ltEs9(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_compare28(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare114(x0, x1, True, x2, x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False)
new_ltEs8(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_asAs(True, x0)
new_lt4(x0, x1, x2)
new_esEs28(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare112(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs4(Nothing, Nothing, x0)
new_compare15(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_@0)
new_ltEs9(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs13(x0, x1, ty_@0)
new_esEs20(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs18(EQ, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare15(x0, x1, ty_Char)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_not(True)
new_esEs24(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_compare110(x0, x1, True, x2)
new_esEs26(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare24(x0, x1, True)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt7(x0, x1, ty_Bool)
new_not(False)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Integer)
new_esEs19(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Int)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_lt18(x0, x1)
new_ltEs17(False, True)
new_ltEs17(True, False)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare26(x0, x1)
new_compare15(x0, x1, ty_Double)
new_compare19(Integer(x0), Integer(x1))
new_esEs25(x0, x1, ty_Int)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Ordering)
new_lt9(x0, x1)
new_compare15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_Integer)
new_compare5(x0, x1, x2)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_primCompAux0(x0, x1, x2, x3)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Bool)
new_ltEs18(GT, GT)
new_esEs32(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Ordering)
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs10(Double(x0, x1), Double(x2, x3))
new_primPlusNat0(Zero, x0)
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Float)
new_esEs17(Integer(x0), Integer(x1))
new_lt7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, EQ)
new_esEs25(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Float)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Bool)
new_esEs13(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs26(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Bool)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_lt7(x0, x1, ty_Char)
new_compare(:(x0, x1), :(x2, x3), x4)
new_esEs21(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_lt20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Bool)
new_compare14(Float(x0, x1), Float(x2, x3))
new_lt8(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs9(Just(x0), Just(x1), ty_Float)
new_esEs32(x0, x1, ty_Float)
new_compare15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(Char(x0), Char(x1))
new_ltEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Bool)
new_lt7(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))

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

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

new_addToFM_C2(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, h, ba, bb) → new_addToFM_C(wzz17, wzz21, Left(wzz23), wzz24, h, ba, bb)
new_addToFM_C(wzz3, Branch(Left(wzz400), wzz41, wzz42, wzz43, wzz44), Left(wzz50), wzz6, bc, bd, be) → new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Left(wzz400), new_esEs30(wzz50, wzz400, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz43, Left(wzz50), wzz6, bc, bd, be)
new_addToFM_C1(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, h, ba, bb) → new_addToFM_C(wzz17, wzz22, Left(wzz23), wzz24, h, ba, bb)
new_addToFM_C(wzz3, Branch(Right(wzz400), wzz41, wzz42, wzz43, wzz44), Left(wzz50), wzz6, bc, bd, be) → new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Right(wzz400), False, bc, bd), LT), bc, bd, be)
new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, bc, bd, be) → new_addToFM_C(wzz3, wzz44, Left(wzz50), wzz6, bc, bd, be)
new_addToFM_C2(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, False, h, ba, bb) → new_addToFM_C1(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, new_esEs8(new_compare29(Left(wzz23), Left(wzz18), new_esEs29(wzz23, wzz18, h), h, ba), GT), h, ba, bb)
new_addToFM_C20(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, bc, bd, be) → new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs8(new_compare29(Left(wzz50), Right(wzz400), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_compare29(Left(wzz5300), Right(wzz5400), False, dee, def) → LT
new_esEs8(LT, LT) → True
new_esEs8(GT, LT) → False
new_esEs8(EQ, LT) → False
new_esEs30(wzz50, wzz400, app(ty_[], ha)) → new_esEs14(wzz50, wzz400, ha)
new_esEs30(wzz50, wzz400, ty_Int) → new_esEs9(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(ty_Ratio, dhd)) → new_esEs15(wzz50, wzz400, dhd)
new_esEs30(wzz50, wzz400, ty_Float) → new_esEs18(wzz50, wzz400)
new_esEs30(wzz50, wzz400, ty_@0) → new_esEs16(wzz50, wzz400)
new_esEs30(wzz50, wzz400, ty_Char) → new_esEs19(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(ty_Maybe, dga)) → new_esEs4(wzz50, wzz400, dga)
new_esEs30(wzz50, wzz400, ty_Bool) → new_esEs11(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(app(ty_Either, dch), dbe)) → new_esEs6(wzz50, wzz400, dch, dbe)
new_esEs30(wzz50, wzz400, app(app(ty_@2, eb), ec)) → new_esEs7(wzz50, wzz400, eb, ec)
new_esEs30(wzz50, wzz400, ty_Ordering) → new_esEs8(wzz50, wzz400)
new_esEs30(wzz50, wzz400, ty_Integer) → new_esEs17(wzz50, wzz400)
new_esEs30(wzz50, wzz400, app(app(app(ty_@3, bfh), bga), bgb)) → new_esEs5(wzz50, wzz400, bfh, bga, bgb)
new_esEs30(wzz50, wzz400, ty_Double) → new_esEs10(wzz50, wzz400)
new_compare29(wzz530, wzz540, True, dee, def) → EQ
new_compare29(Left(wzz5300), Left(wzz5400), False, dee, def) → new_compare114(wzz5300, wzz5400, new_ltEs20(wzz5300, wzz5400, dee), dee, def)
new_ltEs20(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(app(ty_@2, bae), baf)) → new_ltEs7(wzz5300, wzz5400, bae, baf)
new_ltEs20(wzz5300, wzz5400, app(ty_Maybe, bee)) → new_ltEs9(wzz5300, wzz5400, bee)
new_ltEs20(wzz5300, wzz5400, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs5(wzz5300, wzz5400, cfa, cfb, cfc)
new_ltEs20(wzz5300, wzz5400, app(ty_[], cc)) → new_ltEs4(wzz5300, wzz5400, cc)
new_ltEs20(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(app(ty_Either, cdf), ccd)) → new_ltEs14(wzz5300, wzz5400, cdf, ccd)
new_ltEs20(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, app(ty_Ratio, bad)) → new_ltEs6(wzz5300, wzz5400, bad)
new_ltEs20(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_ltEs20(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_compare114(wzz161, wzz162, True, eag, eah) → LT
new_compare114(wzz161, wzz162, False, eag, eah) → GT
new_ltEs10(wzz5300, wzz5400) → new_fsEs(new_compare7(wzz5300, wzz5400))
new_compare7(Char(wzz53000), Char(wzz54000)) → new_primCmpNat0(wzz53000, wzz54000)
new_fsEs(wzz171) → new_not(new_esEs8(wzz171, GT))
new_esEs8(GT, GT) → True
new_esEs8(LT, GT) → False
new_esEs8(EQ, GT) → False
new_not(False) → True
new_not(True) → False
new_primCmpNat0(Zero, Succ(wzz5400)) → LT
new_primCmpNat0(Succ(wzz5300), Succ(wzz5400)) → new_primCmpNat0(wzz5300, wzz5400)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(wzz5300), Zero) → GT
new_ltEs13(wzz5300, wzz5400) → new_fsEs(new_compare6(wzz5300, wzz5400))
new_compare6(@0, @0) → EQ
new_ltEs6(wzz5300, wzz5400, bad) → new_fsEs(new_compare12(wzz5300, wzz5400, bad))
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Integer) → new_compare19(new_sr0(wzz53000, wzz54001), new_sr0(wzz54000, wzz53001))
new_compare12(:%(wzz53000, wzz53001), :%(wzz54000, wzz54001), ty_Int) → new_compare8(new_sr(wzz53000, wzz54001), new_sr(wzz54000, wzz53001))
new_sr(wzz501, wzz4001) → new_primMulInt(wzz501, wzz4001)
new_compare8(wzz53, wzz54) → new_primCmpInt(wzz53, wzz54)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz5300)), Neg(wzz540)) → new_primCmpNat0(wzz540, Succ(wzz5300))
new_primCmpInt(Neg(Zero), Pos(Succ(wzz5400))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(wzz5400))) → new_primCmpNat0(Zero, Succ(wzz5400))
new_primCmpInt(Pos(Succ(wzz5300)), Pos(wzz540)) → new_primCmpNat0(Succ(wzz5300), wzz540)
new_primCmpInt(Pos(Succ(wzz5300)), Neg(wzz540)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(wzz5400))) → new_primCmpNat0(Succ(wzz5400), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz5400))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz5300)), Pos(wzz540)) → LT
new_primMulInt(Pos(wzz5010), Pos(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Neg(wzz40010)) → Pos(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Pos(wzz5010), Neg(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulInt(Neg(wzz5010), Pos(wzz40010)) → Neg(new_primMulNat0(wzz5010, wzz40010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(wzz50100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz400100)) → Zero
new_primMulNat0(Succ(wzz50100), Succ(wzz400100)) → new_primPlusNat0(new_primMulNat0(wzz50100, Succ(wzz400100)), wzz400100)
new_primPlusNat0(Succ(wzz1340), wzz400100) → Succ(Succ(new_primPlusNat1(wzz1340, wzz400100)))
new_primPlusNat0(Zero, wzz400100) → Succ(wzz400100)
new_primPlusNat1(Succ(wzz56200), Zero) → Succ(wzz56200)
new_primPlusNat1(Zero, Succ(wzz12500)) → Succ(wzz12500)
new_primPlusNat1(Succ(wzz56200), Succ(wzz12500)) → Succ(Succ(new_primPlusNat1(wzz56200, wzz12500)))
new_primPlusNat1(Zero, Zero) → Zero
new_sr0(Integer(wzz530000), Integer(wzz540010)) → Integer(new_primMulInt(wzz530000, wzz540010))
new_compare19(Integer(wzz53000), Integer(wzz54000)) → new_primCmpInt(wzz53000, wzz54000)
new_ltEs11(wzz5300, wzz5400) → new_fsEs(new_compare14(wzz5300, wzz5400))
new_compare14(Float(wzz53000, wzz53001), Float(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Integer, ccd) → new_ltEs16(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Int, ccd) → new_ltEs12(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(app(ty_@3, ccf), ccg), cch), ccd) → new_ltEs5(wzz53000, wzz54000, ccf, ccg, cch)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_[], cdh)) → new_ltEs4(wzz53000, wzz54000, cdh)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Double, ccd) → new_ltEs15(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_@2, ceg), ceh)) → new_ltEs7(wzz53000, wzz54000, ceg, ceh)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Float, ccd) → new_ltEs11(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Left(wzz54000), cdf, ccd) → False
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Bool, ccd) → new_ltEs17(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_[], cce), ccd) → new_ltEs4(wzz53000, wzz54000, cce)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_@2, cdd), cde), ccd) → new_ltEs7(wzz53000, wzz54000, cdd, cde)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Ratio, cef)) → new_ltEs6(wzz53000, wzz54000, cef)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_@0, ccd) → new_ltEs13(wzz53000, wzz54000)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(app(ty_@3, cea), ceb), cec)) → new_ltEs5(wzz53000, wzz54000, cea, ceb, cec)
new_ltEs14(Left(wzz53000), Right(wzz54000), cdf, ccd) → True
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Ratio, cdc), ccd) → new_ltEs6(wzz53000, wzz54000, cdc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Char, ccd) → new_ltEs10(wzz53000, wzz54000)
new_ltEs14(Left(wzz53000), Left(wzz54000), ty_Ordering, ccd) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Maybe, bef)) → new_ltEs9(wzz53000, wzz54000, bef)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(ty_Maybe, ccc), ccd) → new_ltEs9(wzz53000, wzz54000, ccc)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(app(ty_Either, ced), cee)) → new_ltEs14(wzz53000, wzz54000, ced, cee)
new_ltEs14(Right(wzz53000), Right(wzz54000), cdf, app(ty_Maybe, cdg)) → new_ltEs9(wzz53000, wzz54000, cdg)
new_ltEs14(Left(wzz53000), Left(wzz54000), app(app(ty_Either, cda), cdb), ccd) → new_ltEs14(wzz53000, wzz54000, cda, cdb)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_Either, bfc), bfd)) → new_ltEs14(wzz53000, wzz54000, bfc, bfd)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_@0) → new_ltEs13(wzz53000, wzz54000)
new_ltEs9(Nothing, Just(wzz54000), bee) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Integer) → new_ltEs16(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Float) → new_ltEs11(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_[], beg)) → new_ltEs4(wzz53000, wzz54000, beg)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Int) → new_ltEs12(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Char) → new_ltEs10(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Bool) → new_ltEs17(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(app(ty_@3, beh), bfa), bfb)) → new_ltEs5(wzz53000, wzz54000, beh, bfa, bfb)
new_ltEs9(Just(wzz53000), Nothing, bee) → False
new_ltEs9(Just(wzz53000), Just(wzz54000), app(app(ty_@2, bff), bfg)) → new_ltEs7(wzz53000, wzz54000, bff, bfg)
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Ordering) → new_ltEs18(wzz53000, wzz54000)
new_ltEs9(Nothing, Nothing, bee) → True
new_ltEs9(Just(wzz53000), Just(wzz54000), ty_Double) → new_ltEs15(wzz53000, wzz54000)
new_ltEs9(Just(wzz53000), Just(wzz54000), app(ty_Ratio, bfe)) → new_ltEs6(wzz53000, wzz54000, bfe)
new_ltEs15(wzz5300, wzz5400) → new_fsEs(new_compare17(wzz5300, wzz5400))
new_compare17(Double(wzz53000, wzz53001), Double(wzz54000, wzz54001)) → new_compare8(new_sr(wzz53000, wzz54000), new_sr(wzz53001, wzz54001))
new_ltEs18(EQ, GT) → True
new_ltEs18(EQ, EQ) → True
new_ltEs18(LT, LT) → True
new_ltEs18(GT, GT) → True
new_ltEs18(LT, GT) → True
new_ltEs18(GT, LT) → False
new_ltEs18(GT, EQ) → False
new_ltEs18(EQ, LT) → False
new_ltEs18(LT, EQ) → True
new_ltEs7(@2(wzz53000, wzz53001), @2(wzz54000, wzz54001), bae, baf) → new_pePe(new_lt7(wzz53000, wzz54000, bae), new_asAs(new_esEs21(wzz53000, wzz54000, bae), new_ltEs8(wzz53001, wzz54001, baf)))
new_lt7(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_lt15(wzz53000, wzz54000, bbg, bbh)
new_lt7(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_lt13(wzz53000, wzz54000, bbf)
new_lt7(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_lt4(wzz53000, wzz54000, bag)
new_lt7(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_lt12(wzz53000, wzz54000, bbd, bbe)
new_lt7(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt10(wzz53000, wzz54000, bba, bbb, bbc)
new_lt7(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt7(wzz53000, wzz54000, app(ty_[], bah)) → new_lt6(wzz53000, wzz54000, bah)
new_esEs21(wzz53000, wzz54000, app(app(ty_Either, bbd), bbe)) → new_esEs6(wzz53000, wzz54000, bbd, bbe)
new_esEs21(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(app(ty_@2, bbg), bbh)) → new_esEs7(wzz53000, wzz54000, bbg, bbh)
new_esEs21(wzz53000, wzz54000, app(ty_[], bah)) → new_esEs14(wzz53000, wzz54000, bah)
new_esEs21(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(ty_Ratio, bbf)) → new_esEs15(wzz53000, wzz54000, bbf)
new_esEs21(wzz53000, wzz54000, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs5(wzz53000, wzz54000, bba, bbb, bbc)
new_esEs21(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, app(ty_Maybe, bag)) → new_esEs4(wzz53000, wzz54000, bag)
new_esEs21(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_esEs21(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_ltEs8(wzz53001, wzz54001, ty_Bool) → new_ltEs17(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs5(wzz53001, wzz54001, bcc, bcd, bce)
new_ltEs8(wzz53001, wzz54001, app(ty_[], bcb)) → new_ltEs4(wzz53001, wzz54001, bcb)
new_ltEs8(wzz53001, wzz54001, app(app(ty_@2, bda), bdb)) → new_ltEs7(wzz53001, wzz54001, bda, bdb)
new_ltEs8(wzz53001, wzz54001, app(app(ty_Either, bcf), bcg)) → new_ltEs14(wzz53001, wzz54001, bcf, bcg)
new_ltEs8(wzz53001, wzz54001, ty_Int) → new_ltEs12(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Ordering) → new_ltEs18(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_@0) → new_ltEs13(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Char) → new_ltEs10(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Maybe, bca)) → new_ltEs9(wzz53001, wzz54001, bca)
new_ltEs8(wzz53001, wzz54001, ty_Float) → new_ltEs11(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, app(ty_Ratio, bch)) → new_ltEs6(wzz53001, wzz54001, bch)
new_ltEs8(wzz53001, wzz54001, ty_Double) → new_ltEs15(wzz53001, wzz54001)
new_ltEs8(wzz53001, wzz54001, ty_Integer) → new_ltEs16(wzz53001, wzz54001)
new_asAs(False, wzz156) → False
new_asAs(True, wzz156) → wzz156
new_pePe(False, wzz188) → wzz188
new_pePe(True, wzz188) → True
new_ltEs16(wzz5300, wzz5400) → new_fsEs(new_compare19(wzz5300, wzz5400))
new_ltEs12(wzz5300, wzz5400) → new_fsEs(new_compare8(wzz5300, wzz5400))
new_ltEs4(wzz5300, wzz5400, cc) → new_fsEs(new_compare(wzz5300, wzz5400, cc))
new_compare([], :(wzz54000, wzz54001), cc) → LT
new_compare(:(wzz53000, wzz53001), [], cc) → GT
new_compare([], [], cc) → EQ
new_compare(:(wzz53000, wzz53001), :(wzz54000, wzz54001), cc) → new_primCompAux0(wzz53000, wzz54000, new_compare(wzz53001, wzz54001, cc), cc)
new_primCompAux0(wzz53000, wzz54000, wzz189, cc) → new_primCompAux00(wzz189, new_compare15(wzz53000, wzz54000, cc))
new_compare15(wzz53000, wzz54000, app(app(ty_Either, bdh), bea)) → new_compare16(wzz53000, wzz54000, bdh, bea)
new_compare15(wzz53000, wzz54000, ty_Float) → new_compare14(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Int) → new_compare8(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_[], bdd)) → new_compare(wzz53000, wzz54000, bdd)
new_compare15(wzz53000, wzz54000, ty_@0) → new_compare6(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(app(ty_@2, bec), bed)) → new_compare18(wzz53000, wzz54000, bec, bed)
new_compare15(wzz53000, wzz54000, ty_Char) → new_compare7(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_Ratio, beb)) → new_compare12(wzz53000, wzz54000, beb)
new_compare15(wzz53000, wzz54000, ty_Integer) → new_compare19(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(ty_Maybe, bdc)) → new_compare5(wzz53000, wzz54000, bdc)
new_compare15(wzz53000, wzz54000, ty_Bool) → new_compare9(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Ordering) → new_compare26(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, ty_Double) → new_compare17(wzz53000, wzz54000)
new_compare15(wzz53000, wzz54000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare10(wzz53000, wzz54000, bde, bdf, bdg)
new_primCompAux00(wzz202, LT) → LT
new_primCompAux00(wzz202, EQ) → wzz202
new_primCompAux00(wzz202, GT) → GT
new_compare10(wzz53000, wzz54000, dg, dh, ea) → new_compare25(wzz53000, wzz54000, new_esEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_esEs5(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bfh, bga, bgb) → new_asAs(new_esEs24(wzz500, wzz4000, bfh), new_asAs(new_esEs23(wzz501, wzz4001, bga), new_esEs22(wzz502, wzz4002, bgb)))
new_compare25(wzz53000, wzz54000, True, dg, dh, ea) → EQ
new_compare25(wzz53000, wzz54000, False, dg, dh, ea) → new_compare11(wzz53000, wzz54000, new_ltEs5(wzz53000, wzz54000, dg, dh, ea), dg, dh, ea)
new_ltEs5(@3(wzz53000, wzz53001, wzz53002), @3(wzz54000, wzz54001, wzz54002), cfa, cfb, cfc) → new_pePe(new_lt19(wzz53000, wzz54000, cfa), new_asAs(new_esEs26(wzz53000, wzz54000, cfa), new_pePe(new_lt20(wzz53001, wzz54001, cfb), new_asAs(new_esEs25(wzz53001, wzz54001, cfb), new_ltEs19(wzz53002, wzz54002, cfc)))))
new_compare11(wzz53000, wzz54000, False, dg, dh, ea) → GT
new_compare11(wzz53000, wzz54000, True, dg, dh, ea) → LT
new_lt19(wzz53000, wzz54000, ty_Bool) → new_lt17(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, ty_@0) → new_lt11(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(ty_[], cb)) → new_lt6(wzz53000, wzz54000, cb)
new_lt19(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_lt13(wzz53000, wzz54000, cff)
new_lt19(wzz53000, wzz54000, ty_Ordering) → new_lt18(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_lt15(wzz53000, wzz54000, cca, ccb)
new_lt19(wzz53000, wzz54000, ty_Float) → new_lt8(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_lt12(wzz53000, wzz54000, cfd, cfe)
new_lt19(wzz53000, wzz54000, ty_Integer) → new_lt16(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_lt10(wzz53000, wzz54000, dg, dh, ea)
new_lt19(wzz53000, wzz54000, ty_Int) → new_lt9(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_lt4(wzz53000, wzz54000, ca)
new_lt19(wzz53000, wzz54000, ty_Char) → new_lt5(wzz53000, wzz54000)
new_lt19(wzz53000, wzz54000, ty_Double) → new_lt14(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_Ratio, cff)) → new_esEs15(wzz53000, wzz54000, cff)
new_esEs26(wzz53000, wzz54000, ty_Float) → new_esEs18(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_Maybe, ca)) → new_esEs4(wzz53000, wzz54000, ca)
new_esEs26(wzz53000, wzz54000, ty_Char) → new_esEs19(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Bool) → new_esEs11(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_@0) → new_esEs16(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Ordering) → new_esEs8(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(ty_[], cb)) → new_esEs14(wzz53000, wzz54000, cb)
new_esEs26(wzz53000, wzz54000, ty_Integer) → new_esEs17(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, ty_Int) → new_esEs9(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_@2, cca), ccb)) → new_esEs7(wzz53000, wzz54000, cca, ccb)
new_esEs26(wzz53000, wzz54000, ty_Double) → new_esEs10(wzz53000, wzz54000)
new_esEs26(wzz53000, wzz54000, app(app(ty_Either, cfd), cfe)) → new_esEs6(wzz53000, wzz54000, cfd, cfe)
new_esEs26(wzz53000, wzz54000, app(app(app(ty_@3, dg), dh), ea)) → new_esEs5(wzz53000, wzz54000, dg, dh, ea)
new_lt20(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_lt12(wzz53001, wzz54001, cgd, cge)
new_lt20(wzz53001, wzz54001, app(ty_[], cfh)) → new_lt6(wzz53001, wzz54001, cfh)
new_lt20(wzz53001, wzz54001, ty_Double) → new_lt14(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Integer) → new_lt16(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_lt10(wzz53001, wzz54001, cga, cgb, cgc)
new_lt20(wzz53001, wzz54001, ty_Ordering) → new_lt18(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_lt15(wzz53001, wzz54001, cgg, cgh)
new_lt20(wzz53001, wzz54001, ty_Float) → new_lt8(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Char) → new_lt5(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Bool) → new_lt17(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_@0) → new_lt11(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, ty_Int) → new_lt9(wzz53001, wzz54001)
new_lt20(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_lt13(wzz53001, wzz54001, cgf)
new_lt20(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_lt4(wzz53001, wzz54001, cfg)
new_esEs25(wzz53001, wzz54001, app(ty_[], cfh)) → new_esEs14(wzz53001, wzz54001, cfh)
new_esEs25(wzz53001, wzz54001, ty_Char) → new_esEs19(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(ty_Either, cgd), cge)) → new_esEs6(wzz53001, wzz54001, cgd, cge)
new_esEs25(wzz53001, wzz54001, ty_Integer) → new_esEs17(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(ty_@2, cgg), cgh)) → new_esEs7(wzz53001, wzz54001, cgg, cgh)
new_esEs25(wzz53001, wzz54001, ty_Ordering) → new_esEs8(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Bool) → new_esEs11(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(ty_Ratio, cgf)) → new_esEs15(wzz53001, wzz54001, cgf)
new_esEs25(wzz53001, wzz54001, app(ty_Maybe, cfg)) → new_esEs4(wzz53001, wzz54001, cfg)
new_esEs25(wzz53001, wzz54001, ty_Int) → new_esEs9(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Float) → new_esEs18(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_Double) → new_esEs10(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, ty_@0) → new_esEs16(wzz53001, wzz54001)
new_esEs25(wzz53001, wzz54001, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs5(wzz53001, wzz54001, cga, cgb, cgc)
new_ltEs19(wzz53002, wzz54002, ty_Integer) → new_ltEs16(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Float) → new_ltEs11(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_@0) → new_ltEs13(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(ty_[], chb)) → new_ltEs4(wzz53002, wzz54002, chb)
new_ltEs19(wzz53002, wzz54002, ty_Char) → new_ltEs10(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(ty_Maybe, cha)) → new_ltEs9(wzz53002, wzz54002, cha)
new_ltEs19(wzz53002, wzz54002, app(ty_Ratio, chh)) → new_ltEs6(wzz53002, wzz54002, chh)
new_ltEs19(wzz53002, wzz54002, ty_Int) → new_ltEs12(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Bool) → new_ltEs17(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, app(app(ty_@2, daa), dab)) → new_ltEs7(wzz53002, wzz54002, daa, dab)
new_ltEs19(wzz53002, wzz54002, app(app(ty_Either, chf), chg)) → new_ltEs14(wzz53002, wzz54002, chf, chg)
new_ltEs19(wzz53002, wzz54002, app(app(app(ty_@3, chc), chd), che)) → new_ltEs5(wzz53002, wzz54002, chc, chd, che)
new_ltEs19(wzz53002, wzz54002, ty_Double) → new_ltEs15(wzz53002, wzz54002)
new_ltEs19(wzz53002, wzz54002, ty_Ordering) → new_ltEs18(wzz53002, wzz54002)
new_ltEs17(False, False) → True
new_ltEs17(True, False) → False
new_ltEs17(True, True) → True
new_ltEs17(False, True) → True
new_esEs16(@0, @0) → True
new_esEs10(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs9(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_primEqNat0(Succ(wzz5000), Zero) → False
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_esEs18(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs9(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs4(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs4(Nothing, Just(wzz4000), dga) → False
new_esEs4(Just(wzz500), Nothing, dga) → False
new_esEs4(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, dgd), dge), dgf)) → new_esEs5(wzz500, wzz4000, dgd, dge, dgf)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Ratio, dgc)) → new_esEs15(wzz500, wzz4000, dgc)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs4(Nothing, Nothing, dga) → True
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_[], dgb)) → new_esEs14(wzz500, wzz4000, dgb)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_@2, dhb), dhc)) → new_esEs7(wzz500, wzz4000, dhb, dhc)
new_esEs4(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs4(Just(wzz500), Just(wzz4000), app(ty_Maybe, dgg)) → new_esEs4(wzz500, wzz4000, dgg)
new_esEs4(Just(wzz500), Just(wzz4000), app(app(ty_Either, dgh), dha)) → new_esEs6(wzz500, wzz4000, dgh, dha)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Maybe, dcc), dbe) → new_esEs4(wzz500, wzz4000, dcc)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Maybe, ddf)) → new_esEs4(wzz500, wzz4000, ddf)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_Either, dcd), dce), dbe) → new_esEs6(wzz500, wzz4000, dcd, dce)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_Either, ddg), ddh)) → new_esEs6(wzz500, wzz4000, ddg, ddh)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Integer, dbe) → new_esEs17(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Int, dbe) → new_esEs9(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_Ratio, dbg), dbe) → new_esEs15(wzz500, wzz4000, dbg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(ty_@2, dea), deb)) → new_esEs7(wzz500, wzz4000, dea, deb)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Bool, dbe) → new_esEs11(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_Ratio, ddb)) → new_esEs15(wzz500, wzz4000, ddb)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Char, dbe) → new_esEs19(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs6(Right(wzz500), Left(wzz4000), dch, dbe) → False
new_esEs6(Left(wzz500), Right(wzz4000), dch, dbe) → False
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(ty_[], dbf), dbe) → new_esEs14(wzz500, wzz4000, dbf)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, dbh), dca), dcb), dbe) → new_esEs5(wzz500, wzz4000, dbh, dca, dcb)
new_esEs6(Left(wzz500), Left(wzz4000), ty_@0, dbe) → new_esEs16(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), app(app(ty_@2, dcf), dcg), dbe) → new_esEs7(wzz500, wzz4000, dcf, dcg)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(ty_[], dda)) → new_esEs14(wzz500, wzz4000, dda)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Ordering, dbe) → new_esEs8(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Double, dbe) → new_esEs10(wzz500, wzz4000)
new_esEs6(Left(wzz500), Left(wzz4000), ty_Float, dbe) → new_esEs18(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs6(Right(wzz500), Right(wzz4000), dch, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(wzz500, wzz4000, ddc, ddd, dde)
new_esEs8(EQ, EQ) → True
new_esEs8(LT, EQ) → False
new_esEs8(GT, EQ) → False
new_esEs14(:(wzz500, wzz501), :(wzz4000, wzz4001), ha) → new_asAs(new_esEs20(wzz500, wzz4000, ha), new_esEs14(wzz501, wzz4001, ha))
new_esEs14([], [], ha) → True
new_esEs14([], :(wzz4000, wzz4001), ha) → False
new_esEs14(:(wzz500, wzz501), [], ha) → False
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(ty_Maybe, hg)) → new_esEs4(wzz500, wzz4000, hg)
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(ty_Ratio, hc)) → new_esEs15(wzz500, wzz4000, hc)
new_esEs20(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, app(app(app(ty_@3, hd), he), hf)) → new_esEs5(wzz500, wzz4000, hd, he, hf)
new_esEs20(wzz500, wzz4000, app(app(ty_Either, hh), baa)) → new_esEs6(wzz500, wzz4000, hh, baa)
new_esEs20(wzz500, wzz4000, app(app(ty_@2, bab), bac)) → new_esEs7(wzz500, wzz4000, bab, bac)
new_esEs20(wzz500, wzz4000, app(ty_[], hb)) → new_esEs14(wzz500, wzz4000, hb)
new_esEs20(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs7(@2(wzz500, wzz501), @2(wzz4000, wzz4001), eb, ec) → new_asAs(new_esEs13(wzz500, wzz4000, eb), new_esEs12(wzz501, wzz4001, ec))
new_esEs13(wzz500, wzz4000, app(ty_[], fg)) → new_esEs14(wzz500, wzz4000, fg)
new_esEs13(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Maybe, gd)) → new_esEs4(wzz500, wzz4000, gd)
new_esEs13(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(app(app(ty_@3, ga), gb), gc)) → new_esEs5(wzz500, wzz4000, ga, gb, gc)
new_esEs13(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(app(ty_Either, ge), gf)) → new_esEs6(wzz500, wzz4000, ge, gf)
new_esEs13(wzz500, wzz4000, app(app(ty_@2, gg), gh)) → new_esEs7(wzz500, wzz4000, gg, gh)
new_esEs13(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, app(ty_Ratio, fh)) → new_esEs15(wzz500, wzz4000, fh)
new_esEs13(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs13(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs12(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_@2, fd), ff)) → new_esEs7(wzz501, wzz4001, fd, ff)
new_esEs12(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(app(ty_@3, ef), eg), eh)) → new_esEs5(wzz501, wzz4001, ef, eg, eh)
new_esEs12(wzz501, wzz4001, app(ty_Ratio, ee)) → new_esEs15(wzz501, wzz4001, ee)
new_esEs12(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(app(ty_Either, fb), fc)) → new_esEs6(wzz501, wzz4001, fb, fc)
new_esEs12(wzz501, wzz4001, app(ty_Maybe, fa)) → new_esEs4(wzz501, wzz4001, fa)
new_esEs12(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs12(wzz501, wzz4001, app(ty_[], ed)) → new_esEs14(wzz501, wzz4001, ed)
new_esEs12(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_esEs11(False, False) → True
new_esEs11(False, True) → False
new_esEs11(True, False) → False
new_esEs11(True, True) → True
new_esEs17(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs15(:%(wzz500, wzz501), :%(wzz4000, wzz4001), dhd) → new_asAs(new_esEs28(wzz500, wzz4000, dhd), new_esEs27(wzz501, wzz4001, dhd))
new_esEs28(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs28(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs27(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs27(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs19(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_lt4(wzz53000, wzz54000, ca) → new_esEs8(new_compare5(wzz53000, wzz54000, ca), LT)
new_compare5(wzz53000, wzz54000, ca) → new_compare27(wzz53000, wzz54000, new_esEs4(wzz53000, wzz54000, ca), ca)
new_compare27(wzz53000, wzz54000, False, ca) → new_compare110(wzz53000, wzz54000, new_ltEs9(wzz53000, wzz54000, ca), ca)
new_compare27(wzz53000, wzz54000, True, ca) → EQ
new_compare110(wzz53000, wzz54000, True, ca) → LT
new_compare110(wzz53000, wzz54000, False, ca) → GT
new_lt13(wzz53000, wzz54000, cff) → new_esEs8(new_compare12(wzz53000, wzz54000, cff), LT)
new_lt9(wzz530, wzz540) → new_esEs8(new_compare8(wzz530, wzz540), LT)
new_lt11(wzz53000, wzz54000) → new_esEs8(new_compare6(wzz53000, wzz54000), LT)
new_lt17(wzz53000, wzz54000) → new_esEs8(new_compare9(wzz53000, wzz54000), LT)
new_compare9(wzz53000, wzz54000) → new_compare24(wzz53000, wzz54000, new_esEs11(wzz53000, wzz54000))
new_compare24(wzz53000, wzz54000, True) → EQ
new_compare24(wzz53000, wzz54000, False) → new_compare111(wzz53000, wzz54000, new_ltEs17(wzz53000, wzz54000))
new_compare111(wzz53000, wzz54000, False) → GT
new_compare111(wzz53000, wzz54000, True) → LT
new_lt5(wzz53000, wzz54000) → new_esEs8(new_compare7(wzz53000, wzz54000), LT)
new_lt8(wzz53000, wzz54000) → new_esEs8(new_compare14(wzz53000, wzz54000), LT)
new_lt15(wzz53000, wzz54000, cca, ccb) → new_esEs8(new_compare18(wzz53000, wzz54000, cca, ccb), LT)
new_compare18(wzz53000, wzz54000, cca, ccb) → new_compare28(wzz53000, wzz54000, new_esEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_compare28(wzz53000, wzz54000, True, cca, ccb) → EQ
new_compare28(wzz53000, wzz54000, False, cca, ccb) → new_compare112(wzz53000, wzz54000, new_ltEs7(wzz53000, wzz54000, cca, ccb), cca, ccb)
new_compare112(wzz53000, wzz54000, False, cca, ccb) → GT
new_compare112(wzz53000, wzz54000, True, cca, ccb) → LT
new_lt18(wzz53000, wzz54000) → new_esEs8(new_compare26(wzz53000, wzz54000), LT)
new_compare26(wzz53000, wzz54000) → new_compare210(wzz53000, wzz54000, new_esEs8(wzz53000, wzz54000))
new_compare210(wzz53000, wzz54000, False) → new_compare13(wzz53000, wzz54000, new_ltEs18(wzz53000, wzz54000))
new_compare210(wzz53000, wzz54000, True) → EQ
new_compare13(wzz53000, wzz54000, False) → GT
new_compare13(wzz53000, wzz54000, True) → LT
new_lt10(wzz53000, wzz54000, dg, dh, ea) → new_esEs8(new_compare10(wzz53000, wzz54000, dg, dh, ea), LT)
new_lt16(wzz53000, wzz54000) → new_esEs8(new_compare19(wzz53000, wzz54000), LT)
new_lt14(wzz53000, wzz54000) → new_esEs8(new_compare17(wzz53000, wzz54000), LT)
new_lt6(wzz53000, wzz54000, cb) → new_esEs8(new_compare(wzz53000, wzz54000, cb), LT)
new_lt12(wzz53000, wzz54000, cfd, cfe) → new_esEs8(new_compare16(wzz53000, wzz54000, cfd, cfe), LT)
new_compare16(wzz53000, wzz54000, cfd, cfe) → new_compare29(wzz53000, wzz54000, new_esEs6(wzz53000, wzz54000, cfd, cfe), cfd, cfe)
new_compare29(Right(wzz5300), Right(wzz5400), False, dee, def) → new_compare113(wzz5300, wzz5400, new_ltEs21(wzz5300, wzz5400, def), dee, def)
new_compare29(Right(wzz5300), Left(wzz5400), False, dee, def) → GT
new_ltEs21(wzz5300, wzz5400, ty_Char) → new_ltEs10(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_Maybe, deg)) → new_ltEs9(wzz5300, wzz5400, deg)
new_ltEs21(wzz5300, wzz5400, ty_Integer) → new_ltEs16(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Ordering) → new_ltEs18(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_Ratio, dff)) → new_ltEs6(wzz5300, wzz5400, dff)
new_ltEs21(wzz5300, wzz5400, app(app(ty_Either, dfd), dfe)) → new_ltEs14(wzz5300, wzz5400, dfd, dfe)
new_ltEs21(wzz5300, wzz5400, ty_Float) → new_ltEs11(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Int) → new_ltEs12(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(app(ty_@2, dfg), dfh)) → new_ltEs7(wzz5300, wzz5400, dfg, dfh)
new_ltEs21(wzz5300, wzz5400, app(app(app(ty_@3, dfa), dfb), dfc)) → new_ltEs5(wzz5300, wzz5400, dfa, dfb, dfc)
new_ltEs21(wzz5300, wzz5400, ty_Double) → new_ltEs15(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_@0) → new_ltEs13(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, ty_Bool) → new_ltEs17(wzz5300, wzz5400)
new_ltEs21(wzz5300, wzz5400, app(ty_[], deh)) → new_ltEs4(wzz5300, wzz5400, deh)
new_compare113(wzz168, wzz169, True, dec, ded) → LT
new_compare113(wzz168, wzz169, False, dec, ded) → GT
new_esEs24(wzz500, wzz4000, app(ty_Ratio, cah)) → new_esEs15(wzz500, wzz4000, cah)
new_esEs24(wzz500, wzz4000, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs5(wzz500, wzz4000, cba, cbb, cbc)
new_esEs24(wzz500, wzz4000, app(ty_Maybe, cbd)) → new_esEs4(wzz500, wzz4000, cbd)
new_esEs24(wzz500, wzz4000, app(app(ty_@2, cbg), cbh)) → new_esEs7(wzz500, wzz4000, cbg, cbh)
new_esEs24(wzz500, wzz4000, ty_Char) → new_esEs19(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_@0) → new_esEs16(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Ordering) → new_esEs8(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, app(app(ty_Either, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs24(wzz500, wzz4000, app(ty_[], cag)) → new_esEs14(wzz500, wzz4000, cag)
new_esEs24(wzz500, wzz4000, ty_Float) → new_esEs18(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Double) → new_esEs10(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Int) → new_esEs9(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Integer) → new_esEs17(wzz500, wzz4000)
new_esEs24(wzz500, wzz4000, ty_Bool) → new_esEs11(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(ty_Maybe, cab)) → new_esEs4(wzz501, wzz4001, cab)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs16(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, cac), cad)) → new_esEs6(wzz501, wzz4001, cac, cad)
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs8(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs17(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs11(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs18(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(ty_[], bhe)) → new_esEs14(wzz501, wzz4001, bhe)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bhf)) → new_esEs15(wzz501, wzz4001, bhf)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cae), caf)) → new_esEs7(wzz501, wzz4001, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs9(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs10(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs19(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs5(wzz501, wzz4001, bhg, bhh, caa)
new_esEs22(wzz502, wzz4002, app(ty_[], bgc)) → new_esEs14(wzz502, wzz4002, bgc)
new_esEs22(wzz502, wzz4002, ty_Ordering) → new_esEs8(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(app(ty_@2, bhc), bhd)) → new_esEs7(wzz502, wzz4002, bhc, bhd)
new_esEs22(wzz502, wzz4002, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs5(wzz502, wzz4002, bge, bgf, bgg)
new_esEs22(wzz502, wzz4002, app(ty_Maybe, bgh)) → new_esEs4(wzz502, wzz4002, bgh)
new_esEs22(wzz502, wzz4002, ty_Double) → new_esEs10(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_@0) → new_esEs16(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Float) → new_esEs18(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Bool) → new_esEs11(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(ty_Ratio, bgd)) → new_esEs15(wzz502, wzz4002, bgd)
new_esEs22(wzz502, wzz4002, ty_Int) → new_esEs9(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, ty_Char) → new_esEs19(wzz502, wzz4002)
new_esEs22(wzz502, wzz4002, app(app(ty_Either, bha), bhb)) → new_esEs6(wzz502, wzz4002, bha, bhb)
new_esEs22(wzz502, wzz4002, ty_Integer) → new_esEs17(wzz502, wzz4002)
new_esEs29(wzz23, wzz18, ty_Integer) → new_esEs17(wzz23, wzz18)
new_esEs29(wzz23, wzz18, ty_Int) → new_esEs9(wzz23, wzz18)
new_esEs29(wzz23, wzz18, ty_Float) → new_esEs18(wzz23, wzz18)
new_esEs29(wzz23, wzz18, app(ty_[], dhe)) → new_esEs14(wzz23, wzz18, dhe)
new_esEs29(wzz23, wzz18, app(app(ty_@2, eae), eaf)) → new_esEs7(wzz23, wzz18, eae, eaf)
new_esEs29(wzz23, wzz18, ty_Double) → new_esEs10(wzz23, wzz18)
new_esEs29(wzz23, wzz18, ty_Bool) → new_esEs11(wzz23, wzz18)
new_esEs29(wzz23, wzz18, ty_Char) → new_esEs19(wzz23, wzz18)
new_esEs29(wzz23, wzz18, app(ty_Ratio, dhf)) → new_esEs15(wzz23, wzz18, dhf)
new_esEs29(wzz23, wzz18, ty_@0) → new_esEs16(wzz23, wzz18)
new_esEs29(wzz23, wzz18, app(app(ty_Either, eac), ead)) → new_esEs6(wzz23, wzz18, eac, ead)
new_esEs29(wzz23, wzz18, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs5(wzz23, wzz18, dhg, dhh, eaa)
new_esEs29(wzz23, wzz18, app(ty_Maybe, eab)) → new_esEs4(wzz23, wzz18, eab)
new_esEs29(wzz23, wzz18, ty_Ordering) → new_esEs8(wzz23, wzz18)

The set Q consists of the following terms:

new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare15(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_primEqNat0(Succ(x0), Zero)
new_ltEs8(x0, x1, ty_Double)
new_compare(:(x0, x1), [], x2)
new_ltEs9(Just(x0), Just(x1), app(ty_[], x2))
new_compare([], :(x0, x1), x2)
new_esEs11(True, True)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Float)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Float)
new_esEs12(x0, x1, ty_Int)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_primEqNat0(Zero, Succ(x0))
new_lt7(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Bool)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_esEs18(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Float)
new_compare15(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs22(x0, x1, ty_Int)
new_esEs20(x0, x1, ty_Int)
new_compare110(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs11(False, True)
new_esEs11(True, False)
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, ty_Double)
new_esEs8(GT, GT)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_compare25(x0, x1, False, x2, x3, x4)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Nothing, x1)
new_esEs29(x0, x1, ty_Float)
new_lt19(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs8(LT, LT)
new_ltEs9(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_compare25(x0, x1, True, x2, x3, x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs16(@0, @0)
new_compare114(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_lt16(x0, x1)
new_esEs21(x0, x1, ty_Char)
new_compare15(x0, x1, ty_Bool)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_compare9(x0, x1)
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare24(x0, x1, False)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs13(x0, x1, ty_Int)
new_ltEs17(False, False)
new_ltEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Char)
new_esEs20(x0, x1, ty_@0)
new_ltEs8(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Float)
new_ltEs18(GT, LT)
new_ltEs18(LT, GT)
new_compare210(x0, x1, False)
new_esEs27(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_@0)
new_ltEs8(x0, x1, ty_Integer)
new_lt13(x0, x1, x2)
new_ltEs10(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Bool)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare11(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare16(x0, x1, x2, x3)
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(x0, x1)
new_ltEs9(Just(x0), Just(x1), ty_Char)
new_esEs23(x0, x1, ty_Double)
new_asAs(False, x0)
new_ltEs16(x0, x1)
new_primMulNat0(Zero, Zero)
new_compare29(Left(x0), Left(x1), False, x2, x3)
new_esEs21(x0, x1, ty_Bool)
new_ltEs18(EQ, LT)
new_ltEs18(LT, EQ)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Integer)
new_compare([], [], x0)
new_ltEs20(x0, x1, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs8(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs29(x0, x1, ty_Char)
new_lt19(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Ordering)
new_lt14(x0, x1)
new_compare10(x0, x1, x2, x3, x4)
new_ltEs17(True, True)
new_esEs21(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs25(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_compare29(Right(x0), Left(x1), False, x2, x3)
new_compare29(Left(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_compare17(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, ty_Ordering)
new_ltEs8(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_ltEs20(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt15(x0, x1, x2, x3)
new_lt19(x0, x1, ty_Float)
new_ltEs9(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare28(x0, x1, False, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare8(x0, x1)
new_esEs11(False, False)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs13(x0, x1, app(ty_[], x2))
new_compare27(x0, x1, True, x2)
new_esEs23(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_lt17(x0, x1)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1)
new_esEs24(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, ty_Int)
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_esEs21(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_esEs13(x0, x1, ty_Ordering)
new_pePe(False, x0)
new_lt19(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs14([], :(x0, x1), x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_compare15(x0, x1, app(ty_[], x2))
new_primPlusNat1(Zero, Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_pePe(True, x0)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3, x4)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, x2)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Char)
new_ltEs9(Just(x0), Nothing, x1)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(x0, x1, ty_Ordering)
new_compare112(x0, x1, True, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_lt7(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs26(x0, x1, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, ty_Integer)
new_primCompAux00(x0, GT)
new_ltEs9(Nothing, Just(x0), x1)
new_lt19(x0, x1, ty_Int)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_sr0(Integer(x0), Integer(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt10(x0, x1, x2, x3, x4)
new_compare27(x0, x1, False, x2)
new_compare29(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs9(Just(x0), Just(x1), ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs9(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs15(:%(x0, x1), :%(x2, x3), x4)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs12(x0, x1, app(ty_[], x2))
new_compare15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs29(x0, x1, ty_@0)
new_esEs12(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_fsEs(x0)
new_lt7(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, x2, x3)
new_ltEs9(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs9(Just(x0), Just(x1), ty_@0)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs20(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt5(x0, x1)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs8(EQ, EQ)
new_esEs12(x0, x1, ty_@0)
new_ltEs12(x0, x1)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs9(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_@0)
new_esEs14([], [], x0)
new_esEs28(x0, x1, ty_Integer)
new_primPlusNat0(Succ(x0), x1)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_sr(x0, x1)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs11(x0, x1)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, False, x2, x3)
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, ty_Double)
new_ltEs18(LT, LT)
new_ltEs20(x0, x1, ty_Int)
new_compare12(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs24(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Just(x0), x1)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs20(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, ty_@0)
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs8(x0, x1, ty_Char)
new_compare18(x0, x1, x2, x3)
new_compare210(x0, x1, True)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_compare13(x0, x1, False)
new_compare6(@0, @0)
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_compare29(Right(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, ty_Integer)
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_ltEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_primMulNat0(Succ(x0), Succ(x1))
new_compare113(x0, x1, True, x2, x3)
new_ltEs18(EQ, GT)
new_ltEs18(GT, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Zero, Zero)
new_ltEs8(x0, x1, ty_Bool)
new_esEs14(:(x0, x1), [], x2)
new_esEs21(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_compare15(x0, x1, ty_Float)
new_ltEs8(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Integer)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs9(Nothing, Nothing, x0)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_ltEs9(Just(x0), Just(x1), ty_Double)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_@0)
new_compare111(x0, x1, True)
new_ltEs9(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_compare28(x0, x1, True, x2, x3)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare114(x0, x1, True, x2, x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Float)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False)
new_ltEs8(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_asAs(True, x0)
new_lt4(x0, x1, x2)
new_esEs28(x0, x1, ty_Int)
new_compare112(x0, x1, False, x2, x3)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs4(Nothing, Nothing, x0)
new_compare15(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs9(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Float)
new_esEs13(x0, x1, ty_@0)
new_esEs20(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs18(EQ, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare15(x0, x1, ty_Char)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_not(True)
new_esEs24(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_compare110(x0, x1, True, x2)
new_esEs26(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Double)
new_ltEs9(Just(x0), Just(x1), ty_Ordering)
new_esEs25(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare24(x0, x1, True)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt7(x0, x1, ty_Bool)
new_not(False)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Integer)
new_esEs19(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Int)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_lt18(x0, x1)
new_ltEs17(False, True)
new_ltEs17(True, False)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare26(x0, x1)
new_compare15(x0, x1, ty_Double)
new_compare19(Integer(x0), Integer(x1))
new_esEs25(x0, x1, ty_Int)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Float)
new_lt9(x0, x1)
new_compare15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, ty_Integer)
new_compare5(x0, x1, x2)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_primCompAux0(x0, x1, x2, x3)
new_esEs22(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Bool)
new_ltEs18(GT, GT)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Ordering)
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs10(Double(x0, x1), Double(x2, x3))
new_primPlusNat0(Zero, x0)
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Float)
new_esEs17(Integer(x0), Integer(x1))
new_lt7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, EQ)
new_esEs25(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Float)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs13(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs26(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Bool)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_lt7(x0, x1, ty_Char)
new_compare(:(x0, x1), :(x2, x3), x4)
new_esEs21(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_lt20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Bool)
new_compare14(Float(x0, x1), Float(x2, x3))
new_lt8(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs9(Just(x0), Just(x1), ty_Float)
new_compare15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(Char(x0), Char(x1))
new_ltEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Bool)
new_lt7(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))

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: