YES 9.426 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 => (a  ->  a  ->  a ->  FiniteMap (Maybe b) a  ->  Maybe b  ->  a  ->  FiniteMap (Maybe b) a) :: Ord b => (a  ->  a  ->  a ->  FiniteMap (Maybe b) a  ->  Maybe b  ->  a  ->  FiniteMap (Maybe 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 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 b a  ->  (b,a)
findMin (Branch key elt _ EmptyFM _) (key,elt)
findMin (Branch key elt _ fm_l _) findMin fm_l

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

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

  sIZE_RATIO :: Int
sIZE_RATIO 5

  sizeFM :: FiniteMap 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



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

  sIZE_RATIO :: Int
sIZE_RATIO 5

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

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude



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

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

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

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

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

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

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

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

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

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



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
HASKELL
          ↳ IFR

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



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 => (a  ->  a  ->  a ->  FiniteMap (Maybe b) a  ->  Maybe b  ->  a  ->  FiniteMap (Maybe b) a) :: Ord b => (a  ->  a  ->  a ->  FiniteMap (Maybe b) a  ->  Maybe b  ->  a  ->  FiniteMap (Maybe 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 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 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 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 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 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



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_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_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_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

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

compare0 x y True = GT

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

compare3 x y = compare2 x y (x == y)

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

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

gcd'0 x y = gcd' y (x `rem` y)

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

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

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

is transformed to
gcd wvy wvz = gcd3 wvy wvz
gcd x y = gcd0 x y

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

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

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

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

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

is transformed to
absReal x = absReal2 x

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

absReal0 x True = `negate` x

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False

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

is transformed to
reduce x y = reduce2 x y

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



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

mainModule FiniteMap
  ((addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap (Maybe b) a  ->  Maybe b  ->  a  ->  FiniteMap (Maybe b) a) :: Ord b => (a  ->  a  ->  a ->  FiniteMap (Maybe b) a  ->  Maybe b  ->  a  ->  FiniteMap (Maybe 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 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 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 :: (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 
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 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



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_size wxw wxx wxy = sizeFM wxw

mkBranchUnbox wxw wxx wxy x = x

mkBranchRight_size wxw wxx wxy = sizeFM wxx

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_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

mkBranchBalance_ok wxw wxx wxy = True

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

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
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)

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)

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

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)

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)

mkBalBranch6Size_l wyx wyy wyz wzu = sizeFM wyz

mkBalBranch6Size_r wyx wyy wyz wzu = sizeFM wzu

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

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

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)

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

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)

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

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)

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)

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

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 wzv = fst (findMin wzv)

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

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

The bindings of the following Let/Where expression
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
reduce2Reduce0 wzx wzy x y True = x `quot` reduce2D wzx wzy :% (y `quot` reduce2D wzx wzy)

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

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'0 x y = gcd0Gcd' y (x `rem` y)

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

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



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

mainModule FiniteMap
  ((addToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap (Maybe a) b  ->  Maybe a  ->  b  ->  FiniteMap (Maybe a) b) :: Ord a => (b  ->  b  ->  b ->  FiniteMap (Maybe a) b  ->  Maybe a  ->  b  ->  FiniteMap (Maybe 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 b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_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 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 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 b a  ->  [(b,a)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (c  ->  a  ->  b  ->  b ->  b  ->  FiniteMap c a  ->  b
foldFM k z EmptyFM z
foldFM k z (Branch key elt 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 wzw fst (findMax wzw)

  
mkBranchLeft_size wxw wxx wxy sizeFM wxw

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

  
mkBranchRight_ok wxw wxx wxy mkBranchRight_ok0 wxw wxx wxy wxx wxy wxx

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

  
mkBranchRight_ok0Smallest_right_key wzv fst (findMin wzv)

  
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 a => (b  ->  b  ->  b ->  FiniteMap (Maybe a) b  ->  Maybe a  ->  b  ->  FiniteMap (Maybe 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 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 :: (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 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 < 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 wzw fst (findMax wzw)

  
mkBranchLeft_size wxw wxx wxy sizeFM wxw

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

  
mkBranchRight_ok wxw wxx wxy mkBranchRight_ok0 wxw wxx wxy wxx wxy wxx

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

  
mkBranchRight_ok0Smallest_right_key wzv fst (findMin wzv)

  
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 :: b  ->  a  ->  FiniteMap b a
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(wzz3400), Succ(wzz3500)) → new_primCmpNat(wzz3400, wzz3500)

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(wzz29200), Succ(wzz10400)) → new_primMinusNat(wzz29200, wzz10400)

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(wzz29200), Succ(wzz10400)) → new_primPlusNat(wzz29200, wzz10400)

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(wzz50000), Succ(wzz400000)) → new_primMulNat(wzz50000, Succ(wzz400000))

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_esEs3(Just(wzz500), Just(wzz4000), app(app(ty_@2, bde), bdf)) → new_esEs0(wzz500, wzz4000, bde, bdf)
new_esEs1(Right(wzz500), Right(wzz4000), baf, app(ty_Maybe, bbg)) → new_esEs3(wzz500, wzz4000, bbg)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(ty_Maybe, cb), bc, bd) → new_esEs3(wzz500, wzz4000, cb)
new_esEs2(:(wzz500, wzz501), :(wzz4000, wzz4001), app(app(ty_@2, bcc), bcd)) → new_esEs0(wzz500, wzz4000, bcc, bcd)
new_esEs2(:(wzz500, wzz501), :(wzz4000, wzz4001), app(ty_Maybe, bch)) → new_esEs3(wzz500, wzz4000, bch)
new_esEs1(Left(wzz500), Left(wzz4000), app(ty_[], bad), hg) → new_esEs2(wzz500, wzz4000, bad)
new_esEs3(Just(wzz500), Just(wzz4000), app(ty_[], bea)) → new_esEs2(wzz500, wzz4000, bea)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, app(app(ty_Either, db), dc), bd) → new_esEs1(wzz501, wzz4001, db, dc)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, bc, app(app(ty_@2, ea), eb)) → new_esEs0(wzz502, wzz4002, ea, eb)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(app(app(ty_@3, h), ba), bb), bc, bd) → new_esEs(wzz500, wzz4000, h, ba, bb)
new_esEs1(Left(wzz500), Left(wzz4000), app(app(ty_Either, bab), bac), hg) → new_esEs1(wzz500, wzz4000, bab, bac)
new_esEs3(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs(wzz500, wzz4000, bdb, bdc, bdd)
new_esEs1(Right(wzz500), Right(wzz4000), baf, app(app(ty_Either, bbd), bbe)) → new_esEs1(wzz500, wzz4000, bbd, bbe)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(app(ty_Either, bg), bh), bc, bd) → new_esEs1(wzz500, wzz4000, bg, bh)
new_esEs1(Right(wzz500), Right(wzz4000), baf, app(app(app(ty_@3, bag), bah), bba)) → new_esEs(wzz500, wzz4000, bag, bah, bba)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(app(ty_Either, ff), fg), fb) → new_esEs1(wzz500, wzz4000, ff, fg)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), gb, app(app(app(ty_@3, gc), gd), ge)) → new_esEs(wzz501, wzz4001, gc, gd, ge)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(app(app(ty_@3, eg), eh), fa), fb) → new_esEs(wzz500, wzz4000, eg, eh, fa)
new_esEs2(:(wzz500, wzz501), :(wzz4000, wzz4001), app(app(app(ty_@3, bbh), bca), bcb)) → new_esEs(wzz500, wzz4000, bbh, bca, bcb)
new_esEs1(Left(wzz500), Left(wzz4000), app(app(ty_@2, hh), baa), hg) → new_esEs0(wzz500, wzz4000, hh, baa)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(app(ty_@2, be), bf), bc, bd) → new_esEs0(wzz500, wzz4000, be, bf)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), gb, app(ty_Maybe, hc)) → new_esEs3(wzz501, wzz4001, hc)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, app(app(ty_@2, cg), da), bd) → new_esEs0(wzz501, wzz4001, cg, da)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, app(app(app(ty_@3, cd), ce), cf), bd) → new_esEs(wzz501, wzz4001, cd, ce, cf)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, bc, app(app(ty_Either, ec), ed)) → new_esEs1(wzz502, wzz4002, ec, ed)
new_esEs2(:(wzz500, wzz501), :(wzz4000, wzz4001), app(app(ty_Either, bce), bcf)) → new_esEs1(wzz500, wzz4000, bce, bcf)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(ty_Maybe, ga), fb) → new_esEs3(wzz500, wzz4000, ga)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, app(ty_Maybe, de), bd) → new_esEs3(wzz501, wzz4001, de)
new_esEs2(:(wzz500, wzz501), :(wzz4000, wzz4001), bda) → new_esEs2(wzz501, wzz4001, bda)
new_esEs3(Just(wzz500), Just(wzz4000), app(ty_Maybe, beb)) → new_esEs3(wzz500, wzz4000, beb)
new_esEs1(Right(wzz500), Right(wzz4000), baf, app(app(ty_@2, bbb), bbc)) → new_esEs0(wzz500, wzz4000, bbb, bbc)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), gb, app(app(ty_Either, gh), ha)) → new_esEs1(wzz501, wzz4001, gh, ha)
new_esEs1(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, hd), he), hf), hg) → new_esEs(wzz500, wzz4000, hd, he, hf)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(ty_[], fh), fb) → new_esEs2(wzz500, wzz4000, fh)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), app(app(ty_@2, fc), fd), fb) → new_esEs0(wzz500, wzz4000, fc, fd)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, bc, app(ty_Maybe, ef)) → new_esEs3(wzz502, wzz4002, ef)
new_esEs2(:(wzz500, wzz501), :(wzz4000, wzz4001), app(ty_[], bcg)) → new_esEs2(wzz500, wzz4000, bcg)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), app(ty_[], ca), bc, bd) → new_esEs2(wzz500, wzz4000, ca)
new_esEs1(Left(wzz500), Left(wzz4000), app(ty_Maybe, bae), hg) → new_esEs3(wzz500, wzz4000, bae)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, app(ty_[], dd), bd) → new_esEs2(wzz501, wzz4001, dd)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, bc, app(ty_[], ee)) → new_esEs2(wzz502, wzz4002, ee)
new_esEs1(Right(wzz500), Right(wzz4000), baf, app(ty_[], bbf)) → new_esEs2(wzz500, wzz4000, bbf)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), gb, app(app(ty_@2, gf), gg)) → new_esEs0(wzz501, wzz4001, gf, gg)
new_esEs3(Just(wzz500), Just(wzz4000), app(app(ty_Either, bdg), bdh)) → new_esEs1(wzz500, wzz4000, bdg, bdh)
new_esEs0(@2(wzz500, wzz501), @2(wzz4000, wzz4001), gb, app(ty_[], hb)) → new_esEs2(wzz501, wzz4001, hb)
new_esEs(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cc, bc, app(app(app(ty_@3, df), dg), dh)) → new_esEs(wzz502, wzz4002, df, dg, dh)

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

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



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

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

new_compare23(Just(Right(wzz34000)), Just(Right(wzz35000)), False, app(app(ty_Either, hd), app(ty_[], he))) → new_ltEs0(wzz34000, wzz35000, he)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), app(app(ty_@2, bbe), bbf), bag) → new_lt2(wzz34000, wzz35000, bbe, bbf)
new_compare20(wzz34000, wzz35000, False, cb, cc, cd) → new_ltEs(wzz34000, wzz35000, cb, cc, cd)
new_ltEs1(Left(wzz34000), Left(wzz35000), app(app(ty_@2, ha), hb), gc) → new_ltEs2(wzz34000, wzz35000, ha, hb)
new_ltEs1(Left(wzz34000), Left(wzz35000), app(app(ty_Either, gg), gh), gc) → new_ltEs1(wzz34000, wzz35000, gg, gh)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, app(app(ty_Either, bbc), bbd)), bag)) → new_lt1(wzz34000, wzz35000, bbc, bbd)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, app(ty_[], baf)), bag)) → new_lt(wzz34000, wzz35000, baf)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), bbh, app(app(ty_Either, bce), bcf)) → new_ltEs1(wzz34001, wzz35001, bce, bcf)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, cf, app(ty_[], eh)) → new_ltEs0(wzz34002, wzz35002, eh)
new_lt3(wzz34000, wzz35000, de) → new_compare23(wzz34000, wzz35000, new_esEs7(wzz34000, wzz35000, de), de)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), app(app(ty_Either, bbc), bbd), bag) → new_lt1(wzz34000, wzz35000, bbc, bbd)
new_ltEs3(Just(wzz34000), Just(wzz35000), app(app(ty_@2, bdh), bea)) → new_ltEs2(wzz34000, wzz35000, bdh, bea)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), app(app(app(ty_@3, dh), ea), eb)), cg)) → new_lt0(wzz34001, wzz35001, dh, ea, eb)
new_compare3(wzz34000, wzz35000, dc, dd) → new_compare22(wzz34000, wzz35000, new_esEs6(wzz34000, wzz35000, dc, dd), dc, dd)
new_primCompAux(wzz34000, wzz35000, wzz186, app(ty_[], ba)) → new_compare(wzz34000, wzz35000, ba)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), cf), app(app(ty_@2, fg), fh))) → new_ltEs2(wzz34002, wzz35002, fg, fh)
new_compare23(Just(Just(wzz34000)), Just(Just(wzz35000)), False, app(ty_Maybe, app(ty_Maybe, beb))) → new_ltEs3(wzz34000, wzz35000, beb)
new_compare23(Just(Left(wzz34000)), Just(Left(wzz35000)), False, app(app(ty_Either, app(ty_Maybe, hc)), gc)) → new_ltEs3(wzz34000, wzz35000, hc)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), app(app(ty_@2, dc), dd), cf, cg) → new_compare22(wzz34000, wzz35000, new_esEs6(wzz34000, wzz35000, dc, dd), dc, dd)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), app(ty_Maybe, de), cf, cg) → new_compare23(wzz34000, wzz35000, new_esEs7(wzz34000, wzz35000, de), de)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), app(ty_Maybe, bbg), bag) → new_lt3(wzz34000, wzz35000, bbg)
new_compare23(Just(Right(wzz34000)), Just(Right(wzz35000)), False, app(app(ty_Either, hd), app(app(ty_@2, bac), bad))) → new_ltEs2(wzz34000, wzz35000, bac, bad)
new_compare23(Just(Right(wzz34000)), Just(Right(wzz35000)), False, app(app(ty_Either, hd), app(ty_Maybe, bae))) → new_ltEs3(wzz34000, wzz35000, bae)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), bbh, app(ty_[], bca)) → new_ltEs0(wzz34001, wzz35001, bca)
new_compare1(wzz34000, wzz35000, cb, cc, cd) → new_compare20(wzz34000, wzz35000, new_esEs4(wzz34000, wzz35000, cb, cc, cd), cb, cc, cd)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, bbh), app(ty_Maybe, bda))) → new_ltEs3(wzz34001, wzz35001, bda)
new_ltEs3(Just(wzz34000), Just(wzz35000), app(app(app(ty_@3, bdc), bdd), bde)) → new_ltEs(wzz34000, wzz35000, bdc, bdd, bde)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, bbh), app(app(app(ty_@3, bcb), bcc), bcd))) → new_ltEs(wzz34001, wzz35001, bcb, bcc, bcd)
new_ltEs1(Right(wzz34000), Right(wzz35000), hd, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs(wzz34000, wzz35000, hf, hg, hh)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), cf), app(ty_Maybe, ga))) → new_ltEs3(wzz34002, wzz35002, ga)
new_compare23(Just(Just(wzz34000)), Just(Just(wzz35000)), False, app(ty_Maybe, app(app(app(ty_@3, bdc), bdd), bde))) → new_ltEs(wzz34000, wzz35000, bdc, bdd, bde)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, bbh), app(app(ty_@2, bcg), bch))) → new_ltEs2(wzz34001, wzz35001, bcg, bch)
new_compare23(Just(:(wzz34000, wzz34001)), Just(:(wzz35000, wzz35001)), False, app(ty_[], h)) → new_compare(wzz34001, wzz35001, h)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, app(app(app(ty_@3, dh), ea), eb), cg) → new_lt0(wzz34001, wzz35001, dh, ea, eb)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, bbh), app(app(ty_Either, bce), bcf))) → new_ltEs1(wzz34001, wzz35001, bce, bcf)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, cf, app(ty_Maybe, ga)) → new_ltEs3(wzz34002, wzz35002, ga)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), app(app(app(ty_@3, bah), bba), bbb), bag) → new_lt0(wzz34000, wzz35000, bah, bba, bbb)
new_compare23(Just(Left(wzz34000)), Just(Left(wzz35000)), False, app(app(ty_Either, app(app(app(ty_@3, gd), ge), gf)), gc)) → new_ltEs(wzz34000, wzz35000, gd, ge, gf)
new_ltEs3(Just(wzz34000), Just(wzz35000), app(ty_[], bdb)) → new_ltEs0(wzz34000, wzz35000, bdb)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), app(ty_[], dg)), cg)) → new_lt(wzz34001, wzz35001, dg)
new_ltEs1(Right(wzz34000), Right(wzz35000), hd, app(app(ty_Either, baa), bab)) → new_ltEs1(wzz34000, wzz35000, baa, bab)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), app(ty_[], ce), cf, cg) → new_compare(wzz34000, wzz35000, ce)
new_ltEs3(Just(wzz34000), Just(wzz35000), app(app(ty_Either, bdf), bdg)) → new_ltEs1(wzz34000, wzz35000, bdf, bdg)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, cf, app(app(app(ty_@3, fa), fb), fc)) → new_ltEs(wzz34002, wzz35002, fa, fb, fc)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), bbh, app(ty_Maybe, bda)) → new_ltEs3(wzz34001, wzz35001, bda)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), cf), app(app(app(ty_@3, fa), fb), fc))) → new_ltEs(wzz34002, wzz35002, fa, fb, fc)
new_compare23(Just(Left(wzz34000)), Just(Left(wzz35000)), False, app(app(ty_Either, app(app(ty_@2, ha), hb)), gc)) → new_ltEs2(wzz34000, wzz35000, ha, hb)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, bbh), app(ty_[], bca))) → new_ltEs0(wzz34001, wzz35001, bca)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), app(app(ty_@2, ee), ef)), cg)) → new_lt2(wzz34001, wzz35001, ee, ef)
new_ltEs3(Just(wzz34000), Just(wzz35000), app(ty_Maybe, beb)) → new_ltEs3(wzz34000, wzz35000, beb)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), app(ty_Maybe, eg)), cg)) → new_lt3(wzz34001, wzz35001, eg)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, app(app(app(ty_@3, cb), cc), cd)), cf), cg)) → new_compare20(wzz34000, wzz35000, new_esEs4(wzz34000, wzz35000, cb, cc, cd), cb, cc, cd)
new_ltEs1(Left(wzz34000), Left(wzz35000), app(ty_[], gb), gc) → new_ltEs0(wzz34000, wzz35000, gb)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, app(ty_[], dg), cg) → new_lt(wzz34001, wzz35001, dg)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, app(ty_Maybe, de)), cf), cg)) → new_compare23(wzz34000, wzz35000, new_esEs7(wzz34000, wzz35000, de), de)
new_ltEs0(:(wzz34000, wzz34001), :(wzz35000, wzz35001), h) → new_compare(wzz34001, wzz35001, h)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), app(app(ty_Either, da), db), cf, cg) → new_compare21(wzz34000, wzz35000, new_esEs5(wzz34000, wzz35000, da, db), da, db)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, app(app(ty_@2, dc), dd)), cf), cg)) → new_compare22(wzz34000, wzz35000, new_esEs6(wzz34000, wzz35000, dc, dd), dc, dd)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), app(ty_[], baf), bag) → new_lt(wzz34000, wzz35000, baf)
new_lt0(wzz34000, wzz35000, cb, cc, cd) → new_compare20(wzz34000, wzz35000, new_esEs4(wzz34000, wzz35000, cb, cc, cd), cb, cc, cd)
new_primCompAux(wzz34000, wzz35000, wzz186, app(app(app(ty_@3, bb), bc), bd)) → new_compare1(wzz34000, wzz35000, bb, bc, bd)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), app(app(ty_Either, ec), ed)), cg)) → new_lt1(wzz34001, wzz35001, ec, ed)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, cf, app(app(ty_@2, fg), fh)) → new_ltEs2(wzz34002, wzz35002, fg, fh)
new_ltEs1(Right(wzz34000), Right(wzz35000), hd, app(app(ty_@2, bac), bad)) → new_ltEs2(wzz34000, wzz35000, bac, bad)
new_primCompAux(wzz34000, wzz35000, wzz186, app(app(ty_@2, bg), bh)) → new_compare3(wzz34000, wzz35000, bg, bh)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) → new_ltEs(wzz34001, wzz35001, bcb, bcc, bcd)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, app(ty_Maybe, bbg)), bag)) → new_lt3(wzz34000, wzz35000, bbg)
new_compare23(Just(Left(wzz34000)), Just(Left(wzz35000)), False, app(app(ty_Either, app(ty_[], gb)), gc)) → new_ltEs0(wzz34000, wzz35000, gb)
new_compare23(Just(:(wzz34000, wzz34001)), Just(:(wzz35000, wzz35001)), False, app(ty_[], h)) → new_primCompAux(wzz34000, wzz35000, new_compare0(wzz34001, wzz35001, h), h)
new_compare2(wzz34000, wzz35000, da, db) → new_compare21(wzz34000, wzz35000, new_esEs5(wzz34000, wzz35000, da, db), da, db)
new_compare23(Just(Just(wzz34000)), Just(Just(wzz35000)), False, app(ty_Maybe, app(app(ty_@2, bdh), bea))) → new_ltEs2(wzz34000, wzz35000, bdh, bea)
new_ltEs1(Left(wzz34000), Left(wzz35000), app(app(app(ty_@3, gd), ge), gf), gc) → new_ltEs(wzz34000, wzz35000, gd, ge, gf)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, app(app(ty_Either, da), db)), cf), cg)) → new_compare21(wzz34000, wzz35000, new_esEs5(wzz34000, wzz35000, da, db), da, db)
new_compare23(Just(Right(wzz34000)), Just(Right(wzz35000)), False, app(app(ty_Either, hd), app(app(app(ty_@3, hf), hg), hh))) → new_ltEs(wzz34000, wzz35000, hf, hg, hh)
new_lt(wzz34000, wzz35000, ce) → new_compare(wzz34000, wzz35000, ce)
new_compare21(wzz34000, wzz35000, False, da, db) → new_ltEs1(wzz34000, wzz35000, da, db)
new_primCompAux(wzz34000, wzz35000, wzz186, app(app(ty_Either, be), bf)) → new_compare2(wzz34000, wzz35000, be, bf)
new_compare23(Just(Left(wzz34000)), Just(Left(wzz35000)), False, app(app(ty_Either, app(app(ty_Either, gg), gh)), gc)) → new_ltEs1(wzz34000, wzz35000, gg, gh)
new_ltEs0(:(wzz34000, wzz34001), :(wzz35000, wzz35001), h) → new_primCompAux(wzz34000, wzz35000, new_compare0(wzz34001, wzz35001, h), h)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, app(app(ty_@2, ee), ef), cg) → new_lt2(wzz34001, wzz35001, ee, ef)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, app(app(ty_@2, bbe), bbf)), bag)) → new_lt2(wzz34000, wzz35000, bbe, bbf)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, app(ty_[], ce)), cf), cg)) → new_compare(wzz34000, wzz35000, ce)
new_ltEs1(Right(wzz34000), Right(wzz35000), hd, app(ty_Maybe, bae)) → new_ltEs3(wzz34000, wzz35000, bae)
new_ltEs2(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), bbh, app(app(ty_@2, bcg), bch)) → new_ltEs2(wzz34001, wzz35001, bcg, bch)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), cf), app(ty_[], eh))) → new_ltEs0(wzz34002, wzz35002, eh)
new_compare(:(wzz34000, wzz34001), :(wzz35000, wzz35001), h) → new_compare(wzz34001, wzz35001, h)
new_ltEs1(Left(wzz34000), Left(wzz35000), app(ty_Maybe, hc), gc) → new_ltEs3(wzz34000, wzz35000, hc)
new_compare(:(wzz34000, wzz34001), :(wzz35000, wzz35001), h) → new_primCompAux(wzz34000, wzz35000, new_compare0(wzz34001, wzz35001, h), h)
new_compare23(Just(Just(wzz34000)), Just(Just(wzz35000)), False, app(ty_Maybe, app(app(ty_Either, bdf), bdg))) → new_ltEs1(wzz34000, wzz35000, bdf, bdg)
new_compare23(Just(Just(wzz34000)), Just(Just(wzz35000)), False, app(ty_Maybe, app(ty_[], bdb))) → new_ltEs0(wzz34000, wzz35000, bdb)
new_compare4(wzz34000, wzz35000, de) → new_compare23(wzz34000, wzz35000, new_esEs7(wzz34000, wzz35000, de), de)
new_lt1(wzz34000, wzz35000, da, db) → new_compare21(wzz34000, wzz35000, new_esEs5(wzz34000, wzz35000, da, db), da, db)
new_primCompAux(wzz34000, wzz35000, wzz186, app(ty_Maybe, ca)) → new_compare4(wzz34000, wzz35000, ca)
new_compare23(Just(@3(wzz34000, wzz34001, wzz34002)), Just(@3(wzz35000, wzz35001, wzz35002)), False, app(app(app(ty_@3, df), cf), app(app(ty_Either, fd), ff))) → new_ltEs1(wzz34002, wzz35002, fd, ff)
new_lt2(wzz34000, wzz35000, dc, dd) → new_compare22(wzz34000, wzz35000, new_esEs6(wzz34000, wzz35000, dc, dd), dc, dd)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, app(ty_Maybe, eg), cg) → new_lt3(wzz34001, wzz35001, eg)
new_compare22(wzz34000, wzz35000, False, dc, dd) → new_ltEs2(wzz34000, wzz35000, dc, dd)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), app(app(app(ty_@3, cb), cc), cd), cf, cg) → new_compare20(wzz34000, wzz35000, new_esEs4(wzz34000, wzz35000, cb, cc, cd), cb, cc, cd)
new_compare23(Just(@2(wzz34000, wzz34001)), Just(@2(wzz35000, wzz35001)), False, app(app(ty_@2, app(app(app(ty_@3, bah), bba), bbb)), bag)) → new_lt0(wzz34000, wzz35000, bah, bba, bbb)
new_ltEs1(Right(wzz34000), Right(wzz35000), hd, app(ty_[], he)) → new_ltEs0(wzz34000, wzz35000, he)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, cf, app(app(ty_Either, fd), ff)) → new_ltEs1(wzz34002, wzz35002, fd, ff)
new_ltEs(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, app(app(ty_Either, ec), ed), cg) → new_lt1(wzz34001, wzz35001, ec, ed)
new_compare23(Just(Right(wzz34000)), Just(Right(wzz35000)), False, app(app(ty_Either, hd), app(app(ty_Either, baa), bab))) → new_ltEs1(wzz34000, wzz35000, baa, bab)

The TRS R consists of the following rules:

new_lt5(wzz34000, wzz35000, ty_Float) → new_lt16(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, ty_Bool) → new_ltEs7(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_Maybe, bfe)) → new_esEs7(wzz500, wzz4000, bfe)
new_esEs26(wzz501, wzz4001, ty_Char) → new_esEs14(wzz501, wzz4001)
new_ltEs20(wzz34001, wzz35001, app(ty_Maybe, bda)) → new_ltEs18(wzz34001, wzz35001, bda)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_[], bfd)) → new_esEs15(wzz500, wzz4000, bfd)
new_ltEs6(wzz34002, wzz35002, app(app(ty_@2, fg), fh)) → new_ltEs17(wzz34002, wzz35002, fg, fh)
new_esEs24(wzz502, wzz4002, app(app(ty_Either, ceg), ceh)) → new_esEs5(wzz502, wzz4002, ceg, ceh)
new_lt20(wzz34000, wzz35000, app(app(app(ty_@3, bah), bba), bbb)) → new_lt12(wzz34000, wzz35000, bah, bba, bbb)
new_ltEs4(EQ, GT) → True
new_esEs18(wzz34000, wzz35000, app(app(ty_@2, dc), dd)) → new_esEs6(wzz34000, wzz35000, dc, dd)
new_ltEs17(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), bbh, bag) → new_pePe(new_lt20(wzz34000, wzz35000, bbh), new_asAs(new_esEs28(wzz34000, wzz35000, bbh), new_ltEs20(wzz34001, wzz35001, bag)))
new_esEs28(wzz34000, wzz35000, app(ty_[], baf)) → new_esEs15(wzz34000, wzz35000, baf)
new_lt7(wzz34000, wzz35000) → new_esEs13(new_compare18(wzz34000, wzz35000), LT)
new_ltEs19(wzz3400, wzz3500, app(ty_[], h)) → new_ltEs9(wzz3400, wzz3500, h)
new_esEs18(wzz34000, wzz35000, ty_Integer) → new_esEs16(wzz34000, wzz35000)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, cde), cdf)) → new_esEs5(wzz501, wzz4001, cde, cdf)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_Maybe, beb)) → new_ltEs18(wzz34000, wzz35000, beb)
new_compare19(wzz34000, wzz35000, cb, cc, cd) → new_compare210(wzz34000, wzz35000, new_esEs4(wzz34000, wzz35000, cb, cc, cd), cb, cc, cd)
new_esEs27(wzz500, wzz4000, app(ty_Maybe, dbf)) → new_esEs7(wzz500, wzz4000, dbf)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Ordering) → new_ltEs4(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Bool) → new_ltEs7(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(app(ty_@2, bg), bh)) → new_compare12(wzz34000, wzz35000, bg, bh)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs17(wzz501, wzz4001)
new_lt5(wzz34000, wzz35000, app(ty_Ratio, bff)) → new_lt10(wzz34000, wzz35000, bff)
new_esEs18(wzz34000, wzz35000, app(ty_Ratio, bff)) → new_esEs12(wzz34000, wzz35000, bff)
new_esEs26(wzz501, wzz4001, ty_Float) → new_esEs17(wzz501, wzz4001)
new_esEs18(wzz34000, wzz35000, ty_Double) → new_esEs11(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Double) → new_ltEs13(wzz34002, wzz35002)
new_primMulNat0(Zero, Zero) → Zero
new_lt6(wzz34001, wzz35001, ty_Bool) → new_lt4(wzz34001, wzz35001)
new_compare18(wzz34000, wzz35000) → new_compare24(wzz34000, wzz35000, new_esEs13(wzz34000, wzz35000))
new_esEs27(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, app(app(app(ty_@3, dae), daf), dag)) → new_esEs4(wzz500, wzz4000, dae, daf, dag)
new_esEs19(wzz34001, wzz35001, app(ty_Ratio, bfg)) → new_esEs12(wzz34001, wzz35001, bfg)
new_ltEs6(wzz34002, wzz35002, app(app(ty_Either, fd), ff)) → new_ltEs14(wzz34002, wzz35002, fd, ff)
new_lt20(wzz34000, wzz35000, ty_Int) → new_lt11(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, app(app(app(ty_@3, fa), fb), fc)) → new_ltEs5(wzz34002, wzz35002, fa, fb, fc)
new_compare25(wzz340, wzz350, True, dbh) → EQ
new_esEs27(wzz500, wzz4000, app(ty_[], dbe)) → new_esEs15(wzz500, wzz4000, dbe)
new_esEs19(wzz34001, wzz35001, ty_Int) → new_esEs10(wzz34001, wzz35001)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs11(wzz501, wzz4001)
new_esEs13(EQ, EQ) → True
new_ltEs7(True, True) → True
new_ltEs20(wzz34001, wzz35001, ty_Int) → new_ltEs11(wzz34001, wzz35001)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, ty_Int) → new_ltEs11(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, ty_Double) → new_compare8(wzz34000, wzz35000)
new_lt20(wzz34000, wzz35000, ty_Double) → new_lt14(wzz34000, wzz35000)
new_lt13(wzz34000, wzz35000) → new_esEs13(new_compare11(wzz34000, wzz35000), LT)
new_lt12(wzz34000, wzz35000, cb, cc, cd) → new_esEs13(new_compare19(wzz34000, wzz35000, cb, cc, cd), LT)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs9(wzz501, wzz4001)
new_compare5(Char(wzz34000), Char(wzz35000)) → new_primCmpNat0(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Char, bgg) → new_esEs14(wzz500, wzz4000)
new_ltEs20(wzz34001, wzz35001, app(ty_[], bca)) → new_ltEs9(wzz34001, wzz35001, bca)
new_ltEs20(wzz34001, wzz35001, app(app(ty_@2, bcg), bch)) → new_ltEs17(wzz34001, wzz35001, bcg, bch)
new_ltEs6(wzz34002, wzz35002, app(ty_Maybe, ga)) → new_ltEs18(wzz34002, wzz35002, ga)
new_lt6(wzz34001, wzz35001, app(ty_Ratio, bfg)) → new_lt10(wzz34001, wzz35001, bfg)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(ty_@2, beg), beh)) → new_esEs6(wzz500, wzz4000, beg, beh)
new_esEs18(wzz34000, wzz35000, ty_Ordering) → new_esEs13(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, bgd), bge), bgf), bgg) → new_esEs4(wzz500, wzz4000, bgd, bge, bgf)
new_ltEs6(wzz34002, wzz35002, app(ty_Ratio, bfh)) → new_ltEs10(wzz34002, wzz35002, bfh)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_Ratio, bhb), bgg) → new_esEs12(wzz500, wzz4000, bhb)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, ty_@0) → new_esEs8(wzz500, wzz4000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(app(ty_@3, gd), ge), gf), gc) → new_ltEs5(wzz34000, wzz35000, gd, ge, gf)
new_esEs18(wzz34000, wzz35000, app(app(app(ty_@3, cb), cc), cd)) → new_esEs4(wzz34000, wzz35000, cb, cc, cd)
new_esEs28(wzz34000, wzz35000, ty_Bool) → new_esEs9(wzz34000, wzz35000)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs8(wzz501, wzz4001)
new_esEs19(wzz34001, wzz35001, app(app(ty_Either, ec), ed)) → new_esEs5(wzz34001, wzz35001, ec, ed)
new_ltEs6(wzz34002, wzz35002, ty_@0) → new_ltEs16(wzz34002, wzz35002)
new_ltEs7(True, False) → False
new_lt20(wzz34000, wzz35000, ty_Bool) → new_lt4(wzz34000, wzz35000)
new_pePe(False, wzz185) → wzz185
new_esEs7(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs13(LT, EQ) → False
new_esEs13(EQ, LT) → False
new_esEs12(:%(wzz500, wzz501), :%(wzz4000, wzz4001), bgc) → new_asAs(new_esEs20(wzz500, wzz4000, bgc), new_esEs21(wzz501, wzz4001, bgc))
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, app(app(ty_@2, bac), bad)) → new_ltEs17(wzz34000, wzz35000, bac, bad)
new_ltEs7(False, True) → True
new_esEs22(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_lt5(wzz34000, wzz35000, ty_@0) → new_lt17(wzz34000, wzz35000)
new_esEs11(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs10(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs27(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_ltEs6(wzz34002, wzz35002, ty_Float) → new_ltEs15(wzz34002, wzz35002)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs24(wzz502, wzz4002, app(ty_Maybe, cfb)) → new_esEs7(wzz502, wzz4002, cfb)
new_esEs28(wzz34000, wzz35000, app(app(app(ty_@3, bah), bba), bbb)) → new_esEs4(wzz34000, wzz35000, bah, bba, bbb)
new_esEs23(wzz501, wzz4001, app(ty_Maybe, cdh)) → new_esEs7(wzz501, wzz4001, cdh)
new_esEs24(wzz502, wzz4002, ty_Double) → new_esEs11(wzz502, wzz4002)
new_compare9(wzz34, wzz35) → new_primCmpInt(wzz34, wzz35)
new_esEs4(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), cbb, cbc, cbd) → new_asAs(new_esEs22(wzz500, wzz4000, cbb), new_asAs(new_esEs23(wzz501, wzz4001, cbc), new_esEs24(wzz502, wzz4002, cbd)))
new_compare27(wzz34000, wzz35000, da, db) → new_compare29(wzz34000, wzz35000, new_esEs5(wzz34000, wzz35000, da, db), da, db)
new_lt5(wzz34000, wzz35000, app(ty_Maybe, de)) → new_lt19(wzz34000, wzz35000, de)
new_compare13(wzz34000, wzz35000, False, da, db) → GT
new_ltEs20(wzz34001, wzz35001, ty_Integer) → new_ltEs12(wzz34001, wzz35001)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(ty_@2, bgh), bha), bgg) → new_esEs6(wzz500, wzz4000, bgh, bha)
new_esEs22(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Double, bgg) → new_esEs11(wzz500, wzz4000)
new_compare17(wzz34000, wzz35000, ty_Char) → new_compare5(wzz34000, wzz35000)
new_primCmpNat0(Zero, Succ(wzz3500)) → LT
new_lt17(wzz34000, wzz35000) → new_esEs13(new_compare28(wzz34000, wzz35000), LT)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Float, gc) → new_ltEs15(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_Ratio, bgb)) → new_ltEs10(wzz34000, wzz35000, bgb)
new_ltEs19(wzz3400, wzz3500, ty_Float) → new_ltEs15(wzz3400, wzz3500)
new_esEs25(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(app(ty_Either, cgd), cge)) → new_esEs5(wzz500, wzz4000, cgd, cge)
new_esEs25(wzz500, wzz4000, app(app(ty_@2, cga), cgb)) → new_esEs6(wzz500, wzz4000, cga, cgb)
new_esEs19(wzz34001, wzz35001, ty_Double) → new_esEs11(wzz34001, wzz35001)
new_esEs28(wzz34000, wzz35000, ty_Char) → new_esEs14(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, ty_Float) → new_esEs17(wzz34001, wzz35001)
new_esEs28(wzz34000, wzz35000, ty_@0) → new_esEs8(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_esEs18(wzz34000, wzz35000, app(app(ty_Either, da), db)) → new_esEs5(wzz34000, wzz35000, da, db)
new_esEs24(wzz502, wzz4002, ty_@0) → new_esEs8(wzz502, wzz4002)
new_esEs19(wzz34001, wzz35001, app(ty_Maybe, eg)) → new_esEs7(wzz34001, wzz35001, eg)
new_esEs28(wzz34000, wzz35000, ty_Integer) → new_esEs16(wzz34000, wzz35000)
new_esEs27(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, ty_Float) → new_esEs17(wzz34000, wzz35000)
new_compare0([], [], h) → EQ
new_pePe(True, wzz185) → True
new_esEs24(wzz502, wzz4002, app(app(ty_@2, ced), cee)) → new_esEs6(wzz502, wzz4002, ced, cee)
new_primEqNat0(Zero, Zero) → True
new_esEs19(wzz34001, wzz35001, ty_Char) → new_esEs14(wzz34001, wzz35001)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, app(app(ty_@2, cac), cad)) → new_esEs6(wzz500, wzz4000, cac, cad)
new_esEs18(wzz34000, wzz35000, ty_Char) → new_esEs14(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, ty_Ordering) → new_ltEs4(wzz34001, wzz35001)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Ordering, gc) → new_ltEs4(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Char) → new_ltEs8(wzz34000, wzz35000)
new_compare29(wzz34000, wzz35000, True, da, db) → EQ
new_esEs13(LT, GT) → False
new_esEs13(GT, LT) → False
new_lt20(wzz34000, wzz35000, app(ty_[], baf)) → new_lt9(wzz34000, wzz35000, baf)
new_esEs15(:(wzz500, wzz501), :(wzz4000, wzz4001), dad) → new_asAs(new_esEs27(wzz500, wzz4000, dad), new_esEs15(wzz501, wzz4001, dad))
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs14(wzz501, wzz4001)
new_compare25(Just(wzz3400), Just(wzz3500), False, dbh) → new_compare111(wzz3400, wzz3500, new_ltEs19(wzz3400, wzz3500, dbh), dbh)
new_lt5(wzz34000, wzz35000, ty_Char) → new_lt8(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(ty_[], ba)) → new_compare0(wzz34000, wzz35000, ba)
new_sr(wzz500, wzz4000) → new_primMulInt(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_[], cgf)) → new_esEs15(wzz500, wzz4000, cgf)
new_esEs24(wzz502, wzz4002, ty_Ordering) → new_esEs13(wzz502, wzz4002)
new_esEs23(wzz501, wzz4001, app(ty_[], cdg)) → new_esEs15(wzz501, wzz4001, cdg)
new_lt5(wzz34000, wzz35000, app(ty_[], ce)) → new_lt9(wzz34000, wzz35000, ce)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_@0, gc) → new_ltEs16(wzz34000, wzz35000)
new_esEs22(wzz500, wzz4000, app(ty_Ratio, ccb)) → new_esEs12(wzz500, wzz4000, ccb)
new_compare26(wzz34000, wzz35000, False, dc, dd) → new_compare16(wzz34000, wzz35000, new_ltEs17(wzz34000, wzz35000, dc, dd), dc, dd)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs14(wzz500, wzz4000)
new_ltEs10(wzz3400, wzz3500, dca) → new_fsEs(new_compare15(wzz3400, wzz3500, dca))
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Float) → new_ltEs15(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, app(app(app(ty_@3, cgh), cha), chb)) → new_esEs4(wzz501, wzz4001, cgh, cha, chb)
new_esEs26(wzz501, wzz4001, ty_Bool) → new_esEs9(wzz501, wzz4001)
new_lt5(wzz34000, wzz35000, ty_Int) → new_lt11(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, app(app(app(ty_@3, bcb), bcc), bcd)) → new_ltEs5(wzz34001, wzz35001, bcb, bcc, bcd)
new_esEs22(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_lt20(wzz34000, wzz35000, app(app(ty_@2, bbe), bbf)) → new_lt18(wzz34000, wzz35000, bbe, bbf)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Integer, bgg) → new_esEs16(wzz500, wzz4000)
new_ltEs19(wzz3400, wzz3500, app(app(ty_@2, bbh), bag)) → new_ltEs17(wzz3400, wzz3500, bbh, bag)
new_compare13(wzz34000, wzz35000, True, da, db) → LT
new_lt20(wzz34000, wzz35000, app(ty_Maybe, bbg)) → new_lt19(wzz34000, wzz35000, bbg)
new_compare15(:%(wzz34000, wzz34001), :%(wzz35000, wzz35001), ty_Integer) → new_compare11(new_sr0(wzz34000, wzz35001), new_sr0(wzz35000, wzz34001))
new_esEs5(Right(wzz500), Right(wzz4000), bhg, ty_Char) → new_esEs14(wzz500, wzz4000)
new_primPlusNat1(Succ(wzz29200), Zero) → Succ(wzz29200)
new_primPlusNat1(Zero, Succ(wzz10400)) → Succ(wzz10400)
new_compare25(Just(wzz3400), Nothing, False, dbh) → GT
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Bool, gc) → new_ltEs7(wzz34000, wzz35000)
new_compare25(Nothing, Nothing, False, dbh) → LT
new_ltEs14(Right(wzz34000), Left(wzz35000), hd, gc) → False
new_ltEs6(wzz34002, wzz35002, ty_Bool) → new_ltEs7(wzz34002, wzz35002)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(ty_@2, bdh), bea)) → new_ltEs17(wzz34000, wzz35000, bdh, bea)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs18(wzz34000, wzz35000, ty_Float) → new_esEs17(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_Maybe, bhf), bgg) → new_esEs7(wzz500, wzz4000, bhf)
new_ltEs19(wzz3400, wzz3500, ty_Ordering) → new_ltEs4(wzz3400, wzz3500)
new_ltEs11(wzz3400, wzz3500) → new_fsEs(new_compare9(wzz3400, wzz3500))
new_lt20(wzz34000, wzz35000, ty_Ordering) → new_lt7(wzz34000, wzz35000)
new_lt4(wzz34000, wzz35000) → new_esEs13(new_compare6(wzz34000, wzz35000), LT)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Ordering, bgg) → new_esEs13(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, app(app(ty_Either, dbc), dbd)) → new_esEs5(wzz500, wzz4000, dbc, dbd)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_primCompAux0(wzz200, GT) → GT
new_lt6(wzz34001, wzz35001, ty_Float) → new_lt16(wzz34001, wzz35001)
new_compare26(wzz34000, wzz35000, True, dc, dd) → EQ
new_compare111(wzz156, wzz157, True, dbg) → LT
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, ccg), cch), cda)) → new_esEs4(wzz501, wzz4001, ccg, cch, cda)
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_lt18(wzz34000, wzz35000, dc, dd) → new_esEs13(new_compare12(wzz34000, wzz35000, dc, dd), LT)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, app(ty_Ratio, cae)) → new_esEs12(wzz500, wzz4000, cae)
new_esEs18(wzz34000, wzz35000, ty_Bool) → new_esEs9(wzz34000, wzz35000)
new_lt11(wzz340, wzz350) → new_esEs13(new_compare9(wzz340, wzz350), LT)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs4(EQ, LT) → False
new_compare17(wzz34000, wzz35000, app(app(ty_Either, be), bf)) → new_compare27(wzz34000, wzz35000, be, bf)
new_lt20(wzz34000, wzz35000, ty_Char) → new_lt8(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, ty_Bool) → new_esEs9(wzz34001, wzz35001)
new_primCmpNat0(Succ(wzz3400), Succ(wzz3500)) → new_primCmpNat0(wzz3400, wzz3500)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Double, gc) → new_ltEs13(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Double) → new_esEs11(wzz501, wzz4001)
new_lt20(wzz34000, wzz35000, ty_Integer) → new_lt13(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_compare112(wzz34000, wzz35000, True) → LT
new_esEs13(LT, LT) → True
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs18(wzz34000, wzz35000, ty_Int) → new_esEs10(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, ty_Double) → new_ltEs13(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_@0, bgg) → new_esEs8(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, app(app(ty_Either, caf), cag)) → new_esEs5(wzz500, wzz4000, caf, cag)
new_ltEs20(wzz34001, wzz35001, ty_@0) → new_ltEs16(wzz34001, wzz35001)
new_ltEs19(wzz3400, wzz3500, app(ty_Ratio, dca)) → new_ltEs10(wzz3400, wzz3500, dca)
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_lt15(wzz34000, wzz35000, da, db) → new_esEs13(new_compare27(wzz34000, wzz35000, da, db), LT)
new_esEs19(wzz34001, wzz35001, app(app(ty_@2, ee), ef)) → new_esEs6(wzz34001, wzz35001, ee, ef)
new_compare14(Float(wzz34000, wzz34001), Float(wzz35000, wzz35001)) → new_compare9(new_sr(wzz34000, wzz35000), new_sr(wzz34001, wzz35001))
new_lt6(wzz34001, wzz35001, app(ty_Maybe, eg)) → new_lt19(wzz34001, wzz35001, eg)
new_ltEs4(GT, EQ) → False
new_esEs24(wzz502, wzz4002, app(ty_Ratio, cef)) → new_esEs12(wzz502, wzz4002, cef)
new_esEs26(wzz501, wzz4001, ty_@0) → new_esEs8(wzz501, wzz4001)
new_primCmpInt(Neg(Succ(wzz3400)), Neg(wzz350)) → new_primCmpNat0(wzz350, Succ(wzz3400))
new_compare16(wzz34000, wzz35000, True, dc, dd) → LT
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, ty_@0) → new_ltEs16(wzz34000, wzz35000)
new_esEs28(wzz34000, wzz35000, ty_Double) → new_esEs11(wzz34000, wzz35000)
new_compare6(wzz34000, wzz35000) → new_compare211(wzz34000, wzz35000, new_esEs9(wzz34000, wzz35000))
new_esEs7(Nothing, Nothing, bec) → True
new_esEs15([], [], dad) → True
new_compare15(:%(wzz34000, wzz34001), :%(wzz35000, wzz35001), ty_Int) → new_compare9(new_sr(wzz34000, wzz35001), new_sr(wzz35000, wzz34001))
new_esEs18(wzz34000, wzz35000, app(ty_Maybe, de)) → new_esEs7(wzz34000, wzz35000, de)
new_compare24(wzz34000, wzz35000, False) → new_compare10(wzz34000, wzz35000, new_ltEs4(wzz34000, wzz35000))
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_ltEs4(EQ, EQ) → True
new_esEs25(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(app(ty_@3, bdc), bdd), bde)) → new_ltEs5(wzz34000, wzz35000, bdc, bdd, bde)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs19(wzz34001, wzz35001, app(ty_[], dg)) → new_esEs15(wzz34001, wzz35001, dg)
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs13(wzz501, wzz4001)
new_ltEs18(Nothing, Nothing, bga) → True
new_esEs5(Right(wzz500), Right(wzz4000), bhg, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_primCmpNat0(Succ(wzz3400), Zero) → GT
new_lt5(wzz34000, wzz35000, app(app(ty_Either, da), db)) → new_lt15(wzz34000, wzz35000, da, db)
new_ltEs13(wzz3400, wzz3500) → new_fsEs(new_compare8(wzz3400, wzz3500))
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Char, gc) → new_ltEs8(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(ty_Either, bfb), bfc)) → new_esEs5(wzz500, wzz4000, bfb, bfc)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz3500))) → LT
new_compare210(wzz34000, wzz35000, True, cb, cc, cd) → EQ
new_ltEs4(GT, LT) → False
new_esEs22(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_sr0(Integer(wzz340000), Integer(wzz350010)) → Integer(new_primMulInt(wzz340000, wzz350010))
new_lt6(wzz34001, wzz35001, app(app(ty_Either, ec), ed)) → new_lt15(wzz34001, wzz35001, ec, ed)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, bed), bee), bef)) → new_esEs4(wzz500, wzz4000, bed, bee, bef)
new_primPlusNat1(Succ(wzz29200), Succ(wzz10400)) → Succ(Succ(new_primPlusNat1(wzz29200, wzz10400)))
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_esEs25(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, app(app(ty_Either, bbc), bbd)) → new_esEs5(wzz34000, wzz35000, bbc, bbd)
new_esEs7(Nothing, Just(wzz4000), bec) → False
new_esEs7(Just(wzz500), Nothing, bec) → False
new_lt6(wzz34001, wzz35001, ty_Ordering) → new_lt7(wzz34001, wzz35001)
new_compare29(wzz34000, wzz35000, False, da, db) → new_compare13(wzz34000, wzz35000, new_ltEs14(wzz34000, wzz35000, da, db), da, db)
new_esEs25(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, cdd)) → new_esEs12(wzz501, wzz4001, cdd)
new_ltEs20(wzz34001, wzz35001, ty_Float) → new_ltEs15(wzz34001, wzz35001)
new_esEs22(wzz500, wzz4000, app(app(ty_@2, cbh), cca)) → new_esEs6(wzz500, wzz4000, cbh, cca)
new_esEs18(wzz34000, wzz35000, ty_@0) → new_esEs8(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_primCmpInt(Pos(Zero), Pos(Succ(wzz3500))) → new_primCmpNat0(Zero, Succ(wzz3500))
new_compare24(wzz34000, wzz35000, True) → EQ
new_esEs22(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_lt6(wzz34001, wzz35001, app(ty_[], dg)) → new_lt9(wzz34001, wzz35001, dg)
new_compare25(Nothing, Just(wzz3500), False, dbh) → LT
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, ty_Float) → new_ltEs15(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Integer) → new_ltEs12(wzz34002, wzz35002)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_lt6(wzz34001, wzz35001, ty_Integer) → new_lt13(wzz34001, wzz35001)
new_esEs19(wzz34001, wzz35001, ty_Ordering) → new_esEs13(wzz34001, wzz35001)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_[], bhe), bgg) → new_esEs15(wzz500, wzz4000, bhe)
new_ltEs5(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), df, cf, cg) → new_pePe(new_lt5(wzz34000, wzz35000, df), new_asAs(new_esEs18(wzz34000, wzz35000, df), new_pePe(new_lt6(wzz34001, wzz35001, cf), new_asAs(new_esEs19(wzz34001, wzz35001, cf), new_ltEs6(wzz34002, wzz35002, cg)))))
new_compare17(wzz34000, wzz35000, app(ty_Maybe, ca)) → new_compare7(wzz34000, wzz35000, ca)
new_primCompAux0(wzz200, LT) → LT
new_ltEs19(wzz3400, wzz3500, ty_Char) → new_ltEs8(wzz3400, wzz3500)
new_ltEs6(wzz34002, wzz35002, ty_Ordering) → new_ltEs4(wzz34002, wzz35002)
new_not(False) → True
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, app(ty_Maybe, bae)) → new_ltEs18(wzz34000, wzz35000, bae)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs16(wzz500, wzz4000)
new_ltEs20(wzz34001, wzz35001, app(ty_Ratio, dcc)) → new_ltEs10(wzz34001, wzz35001, dcc)
new_ltEs18(Just(wzz34000), Nothing, bga) → False
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_@0) → new_ltEs16(wzz34000, wzz35000)
new_lt14(wzz34000, wzz35000) → new_esEs13(new_compare8(wzz34000, wzz35000), LT)
new_primCmpInt(Pos(Succ(wzz3400)), Pos(wzz350)) → new_primCmpNat0(Succ(wzz3400), wzz350)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, cdb), cdc)) → new_esEs6(wzz501, wzz4001, cdb, cdc)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Int) → new_ltEs11(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Float, bgg) → new_esEs17(wzz500, wzz4000)
new_ltEs16(wzz3400, wzz3500) → new_fsEs(new_compare28(wzz3400, wzz3500))
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Double) → new_ltEs13(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, app(app(app(ty_@3, cff), cfg), cfh)) → new_esEs4(wzz500, wzz4000, cff, cfg, cfh)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, app(ty_[], cah)) → new_esEs15(wzz500, wzz4000, cah)
new_compare0(:(wzz34000, wzz34001), [], h) → GT
new_esEs24(wzz502, wzz4002, ty_Float) → new_esEs17(wzz502, wzz4002)
new_lt6(wzz34001, wzz35001, ty_Char) → new_lt8(wzz34001, wzz35001)
new_esEs8(@0, @0) → True
new_esEs22(wzz500, wzz4000, app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs4(wzz500, wzz4000, cbe, cbf, cbg)
new_esEs26(wzz501, wzz4001, app(app(ty_Either, chf), chg)) → new_esEs5(wzz501, wzz4001, chf, chg)
new_esEs9(True, True) → True
new_lt6(wzz34001, wzz35001, ty_@0) → new_lt17(wzz34001, wzz35001)
new_compare17(wzz34000, wzz35000, ty_Ordering) → new_compare18(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, app(app(app(ty_@3, dh), ea), eb)) → new_esEs4(wzz34001, wzz35001, dh, ea, eb)
new_ltEs19(wzz3400, wzz3500, ty_Integer) → new_ltEs12(wzz3400, wzz3500)
new_primCmpInt(Pos(Succ(wzz3400)), Neg(wzz350)) → GT
new_esEs21(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_esEs28(wzz34000, wzz35000, app(ty_Maybe, bbg)) → new_esEs7(wzz34000, wzz35000, bbg)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_[], gb), gc) → new_ltEs9(wzz34000, wzz35000, gb)
new_primMulInt(Pos(wzz5000), Pos(wzz40000)) → Pos(new_primMulNat0(wzz5000, wzz40000))
new_compare17(wzz34000, wzz35000, ty_@0) → new_compare28(wzz34000, wzz35000)
new_esEs24(wzz502, wzz4002, ty_Integer) → new_esEs16(wzz502, wzz4002)
new_compare7(wzz34000, wzz35000, de) → new_compare25(wzz34000, wzz35000, new_esEs7(wzz34000, wzz35000, de), de)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, app(app(app(ty_@3, bhh), caa), cab)) → new_esEs4(wzz500, wzz4000, bhh, caa, cab)
new_esEs22(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_lt16(wzz34000, wzz35000) → new_esEs13(new_compare14(wzz34000, wzz35000), LT)
new_esEs5(Left(wzz500), Right(wzz4000), bhg, bgg) → False
new_esEs5(Right(wzz500), Left(wzz4000), bhg, bgg) → False
new_esEs27(wzz500, wzz4000, app(app(ty_@2, dah), dba)) → new_esEs6(wzz500, wzz4000, dah, dba)
new_primMulInt(Neg(wzz5000), Neg(wzz40000)) → Pos(new_primMulNat0(wzz5000, wzz40000))
new_esEs13(GT, GT) → True
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_primEqNat0(Succ(wzz5000), Zero) → False
new_esEs22(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_ltEs8(wzz3400, wzz3500) → new_fsEs(new_compare5(wzz3400, wzz3500))
new_lt20(wzz34000, wzz35000, ty_@0) → new_lt17(wzz34000, wzz35000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primPlusNat0(wzz114, wzz400000) → new_primPlusNat1(wzz114, Succ(wzz400000))
new_compare210(wzz34000, wzz35000, False, cb, cc, cd) → new_compare110(wzz34000, wzz35000, new_ltEs5(wzz34000, wzz35000, cb, cc, cd), cb, cc, cd)
new_lt5(wzz34000, wzz35000, ty_Integer) → new_lt13(wzz34000, wzz35000)
new_esEs27(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_compare17(wzz34000, wzz35000, ty_Int) → new_compare9(wzz34000, wzz35000)
new_ltEs4(LT, GT) → True
new_ltEs19(wzz3400, wzz3500, ty_Bool) → new_ltEs7(wzz3400, wzz3500)
new_lt5(wzz34000, wzz35000, ty_Double) → new_lt14(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_esEs22(wzz500, wzz4000, app(ty_[], cce)) → new_esEs15(wzz500, wzz4000, cce)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz3500))) → new_primCmpNat0(Succ(wzz3500), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz3500))) → GT
new_esEs5(Right(wzz500), Right(wzz4000), bhg, ty_Float) → new_esEs17(wzz500, wzz4000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_Maybe, hc), gc) → new_ltEs18(wzz34000, wzz35000, hc)
new_lt20(wzz34000, wzz35000, ty_Float) → new_lt16(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, ty_Char) → new_ltEs8(wzz34001, wzz35001)
new_compare0(:(wzz34000, wzz34001), :(wzz35000, wzz35001), h) → new_primCompAux1(wzz34000, wzz35000, new_compare0(wzz34001, wzz35001, h), h)
new_compare211(wzz34000, wzz35000, False) → new_compare112(wzz34000, wzz35000, new_ltEs7(wzz34000, wzz35000))
new_esEs28(wzz34000, wzz35000, app(ty_Ratio, dcb)) → new_esEs12(wzz34000, wzz35000, dcb)
new_ltEs19(wzz3400, wzz3500, ty_Int) → new_ltEs11(wzz3400, wzz3500)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(ty_Either, bdf), bdg)) → new_ltEs14(wzz34000, wzz35000, bdf, bdg)
new_esEs15([], :(wzz4000, wzz4001), dad) → False
new_esEs15(:(wzz500, wzz501), [], dad) → False
new_esEs28(wzz34000, wzz35000, app(app(ty_@2, bbe), bbf)) → new_esEs6(wzz34000, wzz35000, bbe, bbf)
new_esEs27(wzz500, wzz4000, app(ty_Ratio, dbb)) → new_esEs12(wzz500, wzz4000, dbb)
new_esEs16(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_Maybe, cgg)) → new_esEs7(wzz500, wzz4000, cgg)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs5(wzz34000, wzz35000, hf, hg, hh)
new_esEs9(True, False) → False
new_esEs9(False, True) → False
new_lt5(wzz34000, wzz35000, ty_Bool) → new_lt4(wzz34000, wzz35000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(ty_@2, ha), hb), gc) → new_ltEs17(wzz34000, wzz35000, ha, hb)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Int, bgg) → new_esEs10(wzz500, wzz4000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_ltEs4(LT, EQ) → True
new_primCompAux1(wzz34000, wzz35000, wzz186, h) → new_primCompAux0(wzz186, new_compare17(wzz34000, wzz35000, h))
new_ltEs14(Left(wzz34000), Right(wzz35000), hd, gc) → True
new_ltEs20(wzz34001, wzz35001, ty_Bool) → new_ltEs7(wzz34001, wzz35001)
new_esEs24(wzz502, wzz4002, ty_Int) → new_esEs10(wzz502, wzz4002)
new_asAs(False, wzz159) → False
new_ltEs20(wzz34001, wzz35001, app(app(ty_Either, bce), bcf)) → new_ltEs14(wzz34001, wzz35001, bce, bcf)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, app(ty_Ratio, dac)) → new_ltEs10(wzz34000, wzz35000, dac)
new_ltEs19(wzz3400, wzz3500, app(app(ty_Either, hd), gc)) → new_ltEs14(wzz3400, wzz3500, hd, gc)
new_primMulInt(Pos(wzz5000), Neg(wzz40000)) → Neg(new_primMulNat0(wzz5000, wzz40000))
new_primMulInt(Neg(wzz5000), Pos(wzz40000)) → Neg(new_primMulNat0(wzz5000, wzz40000))
new_primMulNat0(Zero, Succ(wzz400000)) → Zero
new_primMulNat0(Succ(wzz50000), Zero) → Zero
new_fsEs(wzz169) → new_not(new_esEs13(wzz169, GT))
new_esEs13(EQ, GT) → False
new_esEs13(GT, EQ) → False
new_lt6(wzz34001, wzz35001, app(app(ty_@2, ee), ef)) → new_lt18(wzz34001, wzz35001, ee, ef)
new_lt5(wzz34000, wzz35000, ty_Ordering) → new_lt7(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, ty_Bool) → new_compare6(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, app(ty_Maybe, daa)) → new_esEs7(wzz501, wzz4001, daa)
new_ltEs18(Nothing, Just(wzz35000), bga) → True
new_compare11(Integer(wzz34000), Integer(wzz35000)) → new_primCmpInt(wzz34000, wzz35000)
new_lt5(wzz34000, wzz35000, app(app(app(ty_@3, cb), cc), cd)) → new_lt12(wzz34000, wzz35000, cb, cc, cd)
new_compare110(wzz34000, wzz35000, True, cb, cc, cd) → LT
new_lt6(wzz34001, wzz35001, ty_Double) → new_lt14(wzz34001, wzz35001)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, app(app(ty_Either, baa), bab)) → new_ltEs14(wzz34000, wzz35000, baa, bab)
new_compare17(wzz34000, wzz35000, app(ty_Ratio, cfc)) → new_compare15(wzz34000, wzz35000, cfc)
new_compare17(wzz34000, wzz35000, ty_Float) → new_compare14(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs8(wzz500, wzz4000)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Int, gc) → new_ltEs11(wzz34000, wzz35000)
new_compare111(wzz156, wzz157, False, dbg) → GT
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Integer) → new_ltEs12(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, ty_Char) → new_ltEs8(wzz34000, wzz35000)
new_esEs9(False, False) → True
new_esEs26(wzz501, wzz4001, app(ty_Ratio, che)) → new_esEs12(wzz501, wzz4001, che)
new_esEs26(wzz501, wzz4001, app(ty_[], chh)) → new_esEs15(wzz501, wzz4001, chh)
new_esEs14(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_esEs19(wzz34001, wzz35001, ty_Integer) → new_esEs16(wzz34001, wzz35001)
new_ltEs12(wzz3400, wzz3500) → new_fsEs(new_compare11(wzz3400, wzz3500))
new_esEs7(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs11(wzz500, wzz4000)
new_ltEs9(wzz3400, wzz3500, h) → new_fsEs(new_compare0(wzz3400, wzz3500, h))
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(ty_Either, gg), gh), gc) → new_ltEs14(wzz34000, wzz35000, gg, gh)
new_ltEs19(wzz3400, wzz3500, app(app(app(ty_@3, df), cf), cg)) → new_ltEs5(wzz3400, wzz3500, df, cf, cg)
new_ltEs15(wzz3400, wzz3500) → new_fsEs(new_compare14(wzz3400, wzz3500))
new_ltEs4(LT, LT) → True
new_compare8(Double(wzz34000, wzz34001), Double(wzz35000, wzz35001)) → new_compare9(new_sr(wzz34000, wzz35000), new_sr(wzz34001, wzz35001))
new_esEs7(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_compare16(wzz34000, wzz35000, False, dc, dd) → GT
new_lt20(wzz34000, wzz35000, app(app(ty_Either, bbc), bbd)) → new_lt15(wzz34000, wzz35000, bbc, bbd)
new_ltEs19(wzz3400, wzz3500, ty_Double) → new_ltEs13(wzz3400, wzz3500)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(ty_Either, bhc), bhd), bgg) → new_esEs5(wzz500, wzz4000, bhc, bhd)
new_ltEs20(wzz34001, wzz35001, ty_Double) → new_ltEs13(wzz34001, wzz35001)
new_compare112(wzz34000, wzz35000, False) → GT
new_ltEs7(False, False) → True
new_esEs22(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, ty_Int) → new_esEs10(wzz34000, wzz35000)
new_esEs24(wzz502, wzz4002, ty_Bool) → new_esEs9(wzz502, wzz4002)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, ty_Ordering) → new_ltEs4(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Int) → new_ltEs11(wzz34002, wzz35002)
new_esEs19(wzz34001, wzz35001, ty_@0) → new_esEs8(wzz34001, wzz35001)
new_lt5(wzz34000, wzz35000, app(app(ty_@2, dc), dd)) → new_lt18(wzz34000, wzz35000, dc, dd)
new_compare0([], :(wzz35000, wzz35001), h) → LT
new_lt8(wzz34000, wzz35000) → new_esEs13(new_compare5(wzz34000, wzz35000), LT)
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_Ratio, dab), gc) → new_ltEs10(wzz34000, wzz35000, dab)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, ty_Integer) → new_ltEs12(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(app(app(ty_@3, bb), bc), bd)) → new_compare19(wzz34000, wzz35000, bb, bc, bd)
new_asAs(True, wzz159) → wzz159
new_esEs28(wzz34000, wzz35000, ty_Ordering) → new_esEs13(wzz34000, wzz35000)
new_primMulNat0(Succ(wzz50000), Succ(wzz400000)) → new_primPlusNat0(new_primMulNat0(wzz50000, Succ(wzz400000)), wzz400000)
new_esEs27(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_lt20(wzz34000, wzz35000, app(ty_Ratio, dcb)) → new_lt10(wzz34000, wzz35000, dcb)
new_compare12(wzz34000, wzz35000, dc, dd) → new_compare26(wzz34000, wzz35000, new_esEs6(wzz34000, wzz35000, dc, dd), dc, dd)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_esEs21(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_[], bdb)) → new_ltEs9(wzz34000, wzz35000, bdb)
new_compare211(wzz34000, wzz35000, True) → EQ
new_esEs27(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs17(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs10(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs25(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs26(wzz501, wzz4001, app(app(ty_@2, chc), chd)) → new_esEs6(wzz501, wzz4001, chc, chd)
new_lt10(wzz34000, wzz35000, bff) → new_esEs13(new_compare15(wzz34000, wzz35000, bff), LT)
new_esEs24(wzz502, wzz4002, ty_Char) → new_esEs14(wzz502, wzz4002)
new_lt19(wzz34000, wzz35000, de) → new_esEs13(new_compare7(wzz34000, wzz35000, de), LT)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Integer, gc) → new_ltEs12(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, app(ty_[], eh)) → new_ltEs9(wzz34002, wzz35002, eh)
new_compare10(wzz34000, wzz35000, True) → LT
new_ltEs4(GT, GT) → True
new_esEs5(Left(wzz500), Left(wzz4000), ty_Bool, bgg) → new_esEs9(wzz500, wzz4000)
new_compare110(wzz34000, wzz35000, False, cb, cc, cd) → GT
new_esEs24(wzz502, wzz4002, app(app(app(ty_@3, cea), ceb), cec)) → new_esEs4(wzz502, wzz4002, cea, ceb, cec)
new_compare10(wzz34000, wzz35000, False) → GT
new_esEs6(@2(wzz500, wzz501), @2(wzz4000, wzz4001), cfd, cfe) → new_asAs(new_esEs25(wzz500, wzz4000, cfd), new_esEs26(wzz501, wzz4001, cfe))
new_esEs22(wzz500, wzz4000, app(app(ty_Either, ccc), ccd)) → new_esEs5(wzz500, wzz4000, ccc, ccd)
new_ltEs14(Right(wzz34000), Right(wzz35000), hd, app(ty_[], he)) → new_ltEs9(wzz34000, wzz35000, he)
new_esEs10(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs18(wzz34000, wzz35000, app(ty_[], ce)) → new_esEs15(wzz34000, wzz35000, ce)
new_lt9(wzz34000, wzz35000, ce) → new_esEs13(new_compare0(wzz34000, wzz35000, ce), LT)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCompAux0(wzz200, EQ) → wzz200
new_esEs24(wzz502, wzz4002, app(ty_[], cfa)) → new_esEs15(wzz502, wzz4002, cfa)
new_esEs26(wzz501, wzz4001, ty_Ordering) → new_esEs13(wzz501, wzz4001)
new_compare28(@0, @0) → EQ
new_ltEs19(wzz3400, wzz3500, ty_@0) → new_ltEs16(wzz3400, wzz3500)
new_esEs27(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_Ratio, cgc)) → new_esEs12(wzz500, wzz4000, cgc)
new_ltEs6(wzz34002, wzz35002, ty_Char) → new_ltEs8(wzz34002, wzz35002)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_Ratio, bfa)) → new_esEs12(wzz500, wzz4000, bfa)
new_ltEs19(wzz3400, wzz3500, app(ty_Maybe, bga)) → new_ltEs18(wzz3400, wzz3500, bga)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_compare17(wzz34000, wzz35000, ty_Integer) → new_compare11(wzz34000, wzz35000)
new_esEs5(Right(wzz500), Right(wzz4000), bhg, app(ty_Maybe, cba)) → new_esEs7(wzz500, wzz4000, cba)
new_esEs22(wzz500, wzz4000, app(ty_Maybe, ccf)) → new_esEs7(wzz500, wzz4000, ccf)
new_lt6(wzz34001, wzz35001, app(app(app(ty_@3, dh), ea), eb)) → new_lt12(wzz34001, wzz35001, dh, ea, eb)
new_primCmpInt(Neg(Succ(wzz3400)), Pos(wzz350)) → LT
new_not(True) → False
new_lt6(wzz34001, wzz35001, ty_Int) → new_lt11(wzz34001, wzz35001)

The set Q consists of the following terms:

new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Char)
new_sr(x0, x1)
new_esEs19(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_primEqNat0(Succ(x0), Zero)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt20(x0, x1, ty_@0)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Bool)
new_esEs15([], [], x0)
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs19(x0, x1, ty_Ordering)
new_compare26(x0, x1, False, x2, x3)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_pePe(False, x0)
new_primEqNat0(Zero, Succ(x0))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_compare211(x0, x1, True)
new_compare0([], [], x0)
new_esEs7(Just(x0), Nothing, x1)
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_primCompAux0(x0, EQ)
new_esEs26(x0, x1, ty_Integer)
new_esEs13(GT, GT)
new_compare17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_compare12(x0, x1, x2, x3)
new_esEs26(x0, x1, ty_Int)
new_ltEs6(x0, x1, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_esEs25(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Float)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_lt6(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare18(x0, x1)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_fsEs(x0)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs18(Just(x0), Just(x1), ty_Double)
new_esEs25(x0, x1, ty_Char)
new_lt4(x0, x1)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(@0, @0)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_pePe(True, x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs19(x0, x1, ty_Int)
new_ltEs7(True, True)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs18(x0, x1, ty_Integer)
new_esEs19(x0, x1, app(ty_[], x2))
new_ltEs18(Just(x0), Just(x1), ty_Int)
new_ltEs18(Nothing, Nothing, x0)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare25(Nothing, Just(x0), False, x1)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs18(x0, x1, ty_Int)
new_compare17(x0, x1, ty_Ordering)
new_compare11(Integer(x0), Integer(x1))
new_lt20(x0, x1, ty_Ordering)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare5(Char(x0), Char(x1))
new_ltEs7(True, False)
new_ltEs7(False, True)
new_lt8(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare9(x0, x1)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_compare0([], :(x0, x1), x2)
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare29(x0, x1, True, x2, x3)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, ty_Double)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Float)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs9(True, True)
new_lt5(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, ty_Integer)
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs4(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_compare10(x0, x1, False)
new_compare28(@0, @0)
new_primPlusNat1(Succ(x0), Zero)
new_esEs24(x0, x1, ty_Char)
new_lt16(x0, x1)
new_esEs14(Char(x0), Char(x1))
new_esEs23(x0, x1, ty_Double)
new_primMulNat0(Zero, Zero)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs18(Just(x0), Just(x1), ty_Char)
new_lt6(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_Float)
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_lt5(x0, x1, ty_Int)
new_esEs19(x0, x1, ty_Integer)
new_ltEs18(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, ty_@0)
new_lt10(x0, x1, x2)
new_esEs19(x0, x1, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs4(GT, GT)
new_lt11(x0, x1)
new_esEs18(x0, x1, ty_Float)
new_compare6(x0, x1)
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_compare110(x0, x1, True, x2, x3, x4)
new_ltEs16(x0, x1)
new_esEs21(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs13(EQ, EQ)
new_ltEs13(x0, x1)
new_esEs21(x0, x1, ty_Int)
new_esEs24(x0, x1, ty_@0)
new_lt19(x0, x1, x2)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare0(:(x0, x1), [], x2)
new_esEs24(x0, x1, ty_Float)
new_lt5(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Bool)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_compare25(Just(x0), Just(x1), False, x2)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(Nothing, Just(x0), x1)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Bool)
new_esEs19(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_ltEs6(x0, x1, ty_Ordering)
new_primPlusNat0(x0, x1)
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs15([], :(x0, x1), x2)
new_esEs23(x0, x1, ty_Bool)
new_compare10(x0, x1, True)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs11(Double(x0, x1), Double(x2, x3))
new_primPlusNat1(Zero, Zero)
new_ltEs12(x0, x1)
new_esEs26(x0, x1, ty_Ordering)
new_lt18(x0, x1, x2, x3)
new_compare24(x0, x1, True)
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare25(x0, x1, True, x2)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primCompAux0(x0, GT)
new_compare211(x0, x1, False)
new_esEs16(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Bool)
new_compare17(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_compare19(x0, x1, x2, x3, x4)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs27(x0, x1, app(ty_[], x2))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs4(EQ, EQ)
new_compare13(x0, x1, True, x2, x3)
new_esEs26(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_@0)
new_ltEs18(Just(x0), Just(x1), ty_Ordering)
new_esEs24(x0, x1, ty_Double)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs4(EQ, LT)
new_esEs26(x0, x1, ty_@0)
new_ltEs4(LT, EQ)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs17(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs8(x0, x1)
new_lt13(x0, x1)
new_compare27(x0, x1, x2, x3)
new_ltEs18(Just(x0), Just(x1), ty_Float)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Ordering)
new_esEs27(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, x2, x3, x4)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1)
new_compare17(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(x0, x1, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_lt5(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_lt14(x0, x1)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(ty_[], x2))
new_compare17(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_Float)
new_esEs15(:(x0, x1), :(x2, x3), x4)
new_ltEs10(x0, x1, x2)
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_@0)
new_primEqInt(Neg(Zero), Neg(Zero))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs7(Nothing, Nothing, x0)
new_compare17(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Float)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs25(x0, x1, ty_Bool)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs18(Just(x0), Nothing, x1)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare210(x0, x1, False, x2, x3, x4)
new_ltEs4(LT, LT)
new_compare17(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, ty_Bool)
new_lt7(x0, x1)
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs18(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare17(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs9(x0, x1, x2)
new_ltEs18(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Double)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False, x2)
new_compare17(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_primCmpNat0(Zero, Zero)
new_esEs25(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs12(:%(x0, x1), :%(x2, x3), x4)
new_esEs25(x0, x1, ty_Double)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_compare16(x0, x1, True, x2, x3)
new_esEs24(x0, x1, ty_Int)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_Char)
new_lt6(x0, x1, ty_Int)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Int)
new_compare26(x0, x1, True, x2, x3)
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs9(False, False)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_ltEs6(x0, x1, ty_Double)
new_compare25(Nothing, Nothing, False, x0)
new_lt6(x0, x1, ty_Ordering)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_primPlusNat1(Zero, Succ(x0))
new_esEs18(x0, x1, ty_@0)
new_esEs13(LT, LT)
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs25(x0, x1, ty_@0)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs26(x0, x1, app(ty_[], x2))
new_compare112(x0, x1, True)
new_esEs27(x0, x1, ty_@0)
new_primMulNat0(Succ(x0), Zero)
new_esEs26(x0, x1, ty_Float)
new_esEs23(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_lt15(x0, x1, x2, x3)
new_compare112(x0, x1, False)
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_ltEs18(Just(x0), Just(x1), ty_Bool)
new_lt6(x0, x1, app(ty_[], x2))
new_ltEs4(EQ, GT)
new_ltEs4(GT, EQ)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_not(True)
new_esEs23(x0, x1, app(ty_[], x2))
new_primMulNat0(Zero, Succ(x0))
new_compare8(Double(x0, x1), Double(x2, x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Char)
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_compare17(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_esEs7(Just(x0), Just(x1), ty_Float)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpNat0(Succ(x0), Zero)
new_not(False)
new_lt5(x0, x1, ty_@0)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs18(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs28(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_@0)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs18(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Double)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_compare14(Float(x0, x1), Float(x2, x3))
new_compare29(x0, x1, False, x2, x3)
new_compare7(x0, x1, x2)
new_esEs23(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False)
new_ltEs11(x0, x1)
new_compare17(x0, x1, ty_Double)
new_ltEs18(Just(x0), Just(x1), app(ty_Maybe, x2))
new_primCompAux0(x0, LT)
new_esEs9(False, True)
new_esEs9(True, False)
new_compare16(x0, x1, False, x2, x3)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Ordering)
new_compare210(x0, x1, True, x2, x3, x4)
new_ltEs20(x0, x1, ty_Double)
new_esEs19(x0, x1, ty_Float)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_esEs7(Nothing, Just(x0), x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs18(Just(x0), Just(x1), ty_@0)
new_esEs27(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, ty_Ordering)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_compare17(x0, x1, ty_Int)
new_compare13(x0, x1, False, x2, x3)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_compare25(Just(x0), Nothing, False, x1)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Bool)
new_primCompAux1(x0, x1, x2, x3)
new_esEs7(Just(x0), Just(x1), ty_Int)
new_ltEs18(Just(x0), Just(x1), ty_Integer)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_lt9(x0, x1, x2)
new_ltEs18(Just(x0), Just(x1), app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs6(x0, x1, ty_Float)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_ltEs4(GT, LT)
new_ltEs4(LT, GT)
new_sr0(Integer(x0), Integer(x1))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Pos(x0), Pos(x1))
new_lt5(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Float)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_Integer)
new_asAs(True, x0)
new_esEs18(x0, x1, ty_Bool)
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs15(:(x0, x1), [], x2)
new_compare111(x0, x1, True, x2)
new_lt6(x0, x1, ty_Char)
new_esEs27(x0, x1, ty_Double)
new_ltEs7(False, False)
new_ltEs19(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_C11(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Just(wzz50), wzz6, h, ba)
new_addToFM_C(wzz3, Branch(Nothing, wzz41, wzz42, wzz43, wzz44), Just(wzz50), wzz6, h, ba) → new_addToFM_C20(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs13(new_compare25(Just(wzz50), Nothing, False, h), LT), h, ba)
new_addToFM_C21(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, bb, bc) → new_addToFM_C(wzz17, wzz21, Just(wzz23), wzz24, bb, bc)
new_addToFM_C1(wzz3, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Nothing, wzz6, h, ba)
new_addToFM_C20(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz43, Just(wzz50), wzz6, h, ba)
new_addToFM_C12(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, bb, bc) → new_addToFM_C(wzz17, wzz22, Just(wzz23), wzz24, bb, bc)
new_addToFM_C(wzz3, Branch(Just(wzz400), wzz41, wzz42, wzz43, wzz44), Just(wzz50), wzz6, h, ba) → new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs13(new_compare25(Just(wzz50), Just(wzz400), new_esEs29(wzz50, wzz400, h), h), LT), h, ba)
new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, False, h, ba) → new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Just(wzz400), False, h), GT), h, ba)
new_addToFM_C(wzz3, Branch(Just(wzz400), wzz41, wzz42, wzz43, wzz44), Nothing, wzz6, h, ba) → new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Just(wzz400), False, h), LT), h, ba)
new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Nothing, wzz6, h, ba)
new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz43, Nothing, wzz6, h, ba)
new_addToFM_C21(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, False, bb, bc) → new_addToFM_C12(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, new_esEs13(new_compare25(Just(wzz23), Just(wzz18), new_esEs30(wzz23, wzz18, bb), bb), GT), bb, bc)
new_addToFM_C20(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, h, ba) → new_addToFM_C11(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs13(new_compare25(Just(wzz50), Nothing, False, h), GT), h, ba)
new_addToFM_C(wzz3, Branch(Nothing, wzz41, wzz42, wzz43, wzz44), Nothing, wzz6, h, ba) → new_addToFM_C1(wzz3, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Nothing, True, h), GT), h, ba)

The TRS R consists of the following rules:

new_lt5(wzz34000, wzz35000, ty_Float) → new_lt16(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Bool) → new_ltEs7(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_Maybe, cf)) → new_esEs7(wzz500, wzz4000, cf)
new_esEs26(wzz501, wzz4001, ty_Char) → new_esEs14(wzz501, wzz4001)
new_ltEs20(wzz34001, wzz35001, app(ty_Maybe, dcg)) → new_ltEs18(wzz34001, wzz35001, dcg)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_[], ce)) → new_esEs15(wzz500, wzz4000, ce)
new_esEs30(wzz23, wzz18, app(ty_Ratio, dde)) → new_esEs12(wzz23, wzz18, dde)
new_ltEs6(wzz34002, wzz35002, app(app(ty_@2, gg), gh)) → new_ltEs17(wzz34002, wzz35002, gg, gh)
new_esEs24(wzz502, wzz4002, app(app(ty_Either, bhb), bhc)) → new_esEs5(wzz502, wzz4002, bhb, bhc)
new_lt20(wzz34000, wzz35000, app(app(app(ty_@3, daf), dag), dah)) → new_lt12(wzz34000, wzz35000, daf, dag, dah)
new_ltEs4(EQ, GT) → True
new_esEs18(wzz34000, wzz35000, app(app(ty_@2, ec), ed)) → new_esEs6(wzz34000, wzz35000, ec, ed)
new_ltEs17(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), dab, dac) → new_pePe(new_lt20(wzz34000, wzz35000, dab), new_asAs(new_esEs28(wzz34000, wzz35000, dab), new_ltEs20(wzz34001, wzz35001, dac)))
new_esEs28(wzz34000, wzz35000, app(ty_[], dad)) → new_esEs15(wzz34000, wzz35000, dad)
new_lt7(wzz34000, wzz35000) → new_esEs13(new_compare18(wzz34000, wzz35000), LT)
new_ltEs19(wzz3400, wzz3500, app(ty_[], bdd)) → new_ltEs9(wzz3400, wzz3500, bdd)
new_esEs18(wzz34000, wzz35000, ty_Integer) → new_esEs16(wzz34000, wzz35000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, bfh), bga)) → new_esEs5(wzz501, wzz4001, bfh, bga)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_Maybe, bad)) → new_ltEs18(wzz34000, wzz35000, bad)
new_compare19(wzz34000, wzz35000, df, dg, dh) → new_compare210(wzz34000, wzz35000, new_esEs4(wzz34000, wzz35000, df, dg, dh), df, dg, dh)
new_esEs27(wzz500, wzz4000, app(ty_Maybe, chf)) → new_esEs7(wzz500, wzz4000, chf)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Ordering) → new_ltEs4(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Bool) → new_ltEs7(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(app(ty_@2, cae), caf)) → new_compare12(wzz34000, wzz35000, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs17(wzz501, wzz4001)
new_lt5(wzz34000, wzz35000, app(ty_Ratio, de)) → new_lt10(wzz34000, wzz35000, de)
new_esEs18(wzz34000, wzz35000, app(ty_Ratio, de)) → new_esEs12(wzz34000, wzz35000, de)
new_esEs26(wzz501, wzz4001, ty_Float) → new_esEs17(wzz501, wzz4001)
new_esEs18(wzz34000, wzz35000, ty_Double) → new_esEs11(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Double) → new_ltEs13(wzz34002, wzz35002)
new_primMulNat0(Zero, Zero) → Zero
new_lt6(wzz34001, wzz35001, ty_Bool) → new_lt4(wzz34001, wzz35001)
new_compare18(wzz34000, wzz35000) → new_compare24(wzz34000, wzz35000, new_esEs13(wzz34000, wzz35000))
new_esEs27(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, app(app(app(ty_@3, cge), cgf), cgg)) → new_esEs4(wzz500, wzz4000, cge, cgf, cgg)
new_esEs19(wzz34001, wzz35001, app(ty_Ratio, ef)) → new_esEs12(wzz34001, wzz35001, ef)
new_ltEs6(wzz34002, wzz35002, app(app(ty_Either, ge), gf)) → new_ltEs14(wzz34002, wzz35002, ge, gf)
new_lt20(wzz34000, wzz35000, ty_Int) → new_lt11(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, app(app(app(ty_@3, gb), gc), gd)) → new_ltEs5(wzz34002, wzz35002, gb, gc, gd)
new_compare25(wzz340, wzz350, True, chh) → EQ
new_esEs27(wzz500, wzz4000, app(ty_[], che)) → new_esEs15(wzz500, wzz4000, che)
new_esEs19(wzz34001, wzz35001, ty_Int) → new_esEs10(wzz34001, wzz35001)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs11(wzz501, wzz4001)
new_esEs13(EQ, EQ) → True
new_ltEs7(True, True) → True
new_esEs30(wzz23, wzz18, ty_Int) → new_esEs10(wzz23, wzz18)
new_ltEs20(wzz34001, wzz35001, ty_Int) → new_ltEs11(wzz34001, wzz35001)
new_esEs29(wzz50, wzz400, app(ty_Maybe, bd)) → new_esEs7(wzz50, wzz400, bd)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Int) → new_ltEs11(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, ty_Double) → new_compare8(wzz34000, wzz35000)
new_lt20(wzz34000, wzz35000, ty_Double) → new_lt14(wzz34000, wzz35000)
new_lt13(wzz34000, wzz35000) → new_esEs13(new_compare11(wzz34000, wzz35000), LT)
new_lt12(wzz34000, wzz35000, df, dg, dh) → new_esEs13(new_compare19(wzz34000, wzz35000, df, dg, dh), LT)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs9(wzz501, wzz4001)
new_compare5(Char(wzz34000), Char(wzz35000)) → new_primCmpNat0(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Char, bba) → new_esEs14(wzz500, wzz4000)
new_ltEs20(wzz34001, wzz35001, app(ty_[], dbf)) → new_ltEs9(wzz34001, wzz35001, dbf)
new_ltEs20(wzz34001, wzz35001, app(app(ty_@2, dce), dcf)) → new_ltEs17(wzz34001, wzz35001, dce, dcf)
new_ltEs6(wzz34002, wzz35002, app(ty_Maybe, ha)) → new_ltEs18(wzz34002, wzz35002, ha)
new_lt6(wzz34001, wzz35001, app(ty_Ratio, ef)) → new_lt10(wzz34001, wzz35001, ef)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(ty_@2, bh), ca)) → new_esEs6(wzz500, wzz4000, bh, ca)
new_esEs18(wzz34000, wzz35000, ty_Ordering) → new_esEs13(wzz34000, wzz35000)
new_esEs30(wzz23, wzz18, ty_Bool) → new_esEs9(wzz23, wzz18)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, baf), bag), bah), bba) → new_esEs4(wzz500, wzz4000, baf, bag, bah)
new_ltEs6(wzz34002, wzz35002, app(ty_Ratio, ga)) → new_ltEs10(wzz34002, wzz35002, ga)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_Ratio, bbd), bba) → new_esEs12(wzz500, wzz4000, bbd)
new_esEs29(wzz50, wzz400, ty_Bool) → new_esEs9(wzz50, wzz400)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Char) → new_esEs14(wzz23, wzz18)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(app(ty_@3, cea), ceb), cec), cdf) → new_ltEs5(wzz34000, wzz35000, cea, ceb, cec)
new_esEs18(wzz34000, wzz35000, app(app(app(ty_@3, df), dg), dh)) → new_esEs4(wzz34000, wzz35000, df, dg, dh)
new_esEs28(wzz34000, wzz35000, ty_Bool) → new_esEs9(wzz34000, wzz35000)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs8(wzz501, wzz4001)
new_esEs19(wzz34001, wzz35001, app(app(ty_Either, fb), fc)) → new_esEs5(wzz34001, wzz35001, fb, fc)
new_ltEs6(wzz34002, wzz35002, ty_@0) → new_ltEs16(wzz34002, wzz35002)
new_ltEs7(True, False) → False
new_lt20(wzz34000, wzz35000, ty_Bool) → new_lt4(wzz34000, wzz35000)
new_pePe(False, wzz185) → wzz185
new_esEs7(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs13(LT, EQ) → False
new_esEs13(EQ, LT) → False
new_esEs12(:%(wzz500, wzz501), :%(wzz4000, wzz4001), bae) → new_asAs(new_esEs20(wzz500, wzz4000, bae), new_esEs21(wzz501, wzz4001, bae))
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(ty_@2, cga), cgb)) → new_ltEs17(wzz34000, wzz35000, cga, cgb)
new_ltEs7(False, True) → True
new_esEs22(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_lt5(wzz34000, wzz35000, ty_@0) → new_lt17(wzz34000, wzz35000)
new_esEs11(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs10(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs27(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_ltEs6(wzz34002, wzz35002, ty_Float) → new_ltEs15(wzz34002, wzz35002)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs24(wzz502, wzz4002, app(ty_Maybe, bhe)) → new_esEs7(wzz502, wzz4002, bhe)
new_esEs28(wzz34000, wzz35000, app(app(app(ty_@3, daf), dag), dah)) → new_esEs4(wzz34000, wzz35000, daf, dag, dah)
new_esEs23(wzz501, wzz4001, app(ty_Maybe, bgc)) → new_esEs7(wzz501, wzz4001, bgc)
new_esEs24(wzz502, wzz4002, ty_Double) → new_esEs11(wzz502, wzz4002)
new_compare9(wzz34, wzz35) → new_primCmpInt(wzz34, wzz35)
new_esEs4(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bde, bdf, bdg) → new_asAs(new_esEs22(wzz500, wzz4000, bde), new_asAs(new_esEs23(wzz501, wzz4001, bdf), new_esEs24(wzz502, wzz4002, bdg)))
new_compare27(wzz34000, wzz35000, ea, eb) → new_compare29(wzz34000, wzz35000, new_esEs5(wzz34000, wzz35000, ea, eb), ea, eb)
new_esEs30(wzz23, wzz18, ty_Integer) → new_esEs16(wzz23, wzz18)
new_lt5(wzz34000, wzz35000, app(ty_Maybe, cg)) → new_lt19(wzz34000, wzz35000, cg)
new_compare13(wzz34000, wzz35000, False, ea, eb) → GT
new_ltEs20(wzz34001, wzz35001, ty_Integer) → new_ltEs12(wzz34001, wzz35001)
new_esEs30(wzz23, wzz18, ty_@0) → new_esEs8(wzz23, wzz18)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(ty_@2, bbb), bbc), bba) → new_esEs6(wzz500, wzz4000, bbb, bbc)
new_esEs22(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Double, bba) → new_esEs11(wzz500, wzz4000)
new_compare17(wzz34000, wzz35000, ty_Char) → new_compare5(wzz34000, wzz35000)
new_primCmpNat0(Zero, Succ(wzz3500)) → LT
new_lt17(wzz34000, wzz35000) → new_esEs13(new_compare28(wzz34000, wzz35000), LT)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Float, cdf) → new_ltEs15(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_Ratio, hd)) → new_ltEs10(wzz34000, wzz35000, hd)
new_ltEs19(wzz3400, wzz3500, ty_Float) → new_ltEs15(wzz3400, wzz3500)
new_esEs25(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(app(ty_Either, cbh), cca)) → new_esEs5(wzz500, wzz4000, cbh, cca)
new_esEs25(wzz500, wzz4000, app(app(ty_@2, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs19(wzz34001, wzz35001, ty_Double) → new_esEs11(wzz34001, wzz35001)
new_esEs28(wzz34000, wzz35000, ty_Char) → new_esEs14(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, ty_Float) → new_esEs17(wzz34001, wzz35001)
new_esEs28(wzz34000, wzz35000, ty_@0) → new_esEs8(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_esEs18(wzz34000, wzz35000, app(app(ty_Either, ea), eb)) → new_esEs5(wzz34000, wzz35000, ea, eb)
new_esEs24(wzz502, wzz4002, ty_@0) → new_esEs8(wzz502, wzz4002)
new_esEs19(wzz34001, wzz35001, app(ty_Maybe, fg)) → new_esEs7(wzz34001, wzz35001, fg)
new_esEs28(wzz34000, wzz35000, ty_Integer) → new_esEs16(wzz34000, wzz35000)
new_esEs27(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, ty_Float) → new_esEs17(wzz34000, wzz35000)
new_compare0([], [], bdd) → EQ
new_pePe(True, wzz185) → True
new_esEs24(wzz502, wzz4002, app(app(ty_@2, bgg), bgh)) → new_esEs6(wzz502, wzz4002, bgg, bgh)
new_primEqNat0(Zero, Zero) → True
new_esEs19(wzz34001, wzz35001, ty_Char) → new_esEs14(wzz34001, wzz35001)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(ty_@2, bce), bcf)) → new_esEs6(wzz500, wzz4000, bce, bcf)
new_esEs18(wzz34000, wzz35000, ty_Char) → new_esEs14(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, ty_Ordering) → new_ltEs4(wzz34001, wzz35001)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Ordering, cdf) → new_ltEs4(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Char) → new_ltEs8(wzz34000, wzz35000)
new_compare29(wzz34000, wzz35000, True, ea, eb) → EQ
new_esEs29(wzz50, wzz400, ty_Ordering) → new_esEs13(wzz50, wzz400)
new_esEs13(LT, GT) → False
new_esEs13(GT, LT) → False
new_lt20(wzz34000, wzz35000, app(ty_[], dad)) → new_lt9(wzz34000, wzz35000, dad)
new_esEs15(:(wzz500, wzz501), :(wzz4000, wzz4001), cgd) → new_asAs(new_esEs27(wzz500, wzz4000, cgd), new_esEs15(wzz501, wzz4001, cgd))
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs14(wzz501, wzz4001)
new_compare25(Just(wzz3400), Just(wzz3500), False, chh) → new_compare111(wzz3400, wzz3500, new_ltEs19(wzz3400, wzz3500, chh), chh)
new_lt5(wzz34000, wzz35000, ty_Char) → new_lt8(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(ty_[], bhf)) → new_compare0(wzz34000, wzz35000, bhf)
new_sr(wzz500, wzz4000) → new_primMulInt(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_[], ccb)) → new_esEs15(wzz500, wzz4000, ccb)
new_esEs24(wzz502, wzz4002, ty_Ordering) → new_esEs13(wzz502, wzz4002)
new_esEs23(wzz501, wzz4001, app(ty_[], bgb)) → new_esEs15(wzz501, wzz4001, bgb)
new_lt5(wzz34000, wzz35000, app(ty_[], dd)) → new_lt9(wzz34000, wzz35000, dd)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_@0, cdf) → new_ltEs16(wzz34000, wzz35000)
new_esEs22(wzz500, wzz4000, app(ty_Ratio, bee)) → new_esEs12(wzz500, wzz4000, bee)
new_compare26(wzz34000, wzz35000, False, ec, ed) → new_compare16(wzz34000, wzz35000, new_ltEs17(wzz34000, wzz35000, ec, ed), ec, ed)
new_esEs30(wzz23, wzz18, app(app(app(ty_@3, dch), dda), ddb)) → new_esEs4(wzz23, wzz18, dch, dda, ddb)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs14(wzz500, wzz4000)
new_esEs29(wzz50, wzz400, ty_Double) → new_esEs11(wzz50, wzz400)
new_ltEs10(wzz3400, wzz3500, daa) → new_fsEs(new_compare15(wzz3400, wzz3500, daa))
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Float) → new_ltEs15(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, app(app(app(ty_@3, ccd), cce), ccf)) → new_esEs4(wzz501, wzz4001, ccd, cce, ccf)
new_esEs26(wzz501, wzz4001, ty_Bool) → new_esEs9(wzz501, wzz4001)
new_lt5(wzz34000, wzz35000, ty_Int) → new_lt11(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs5(wzz34001, wzz35001, dbh, dca, dcb)
new_esEs22(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_lt20(wzz34000, wzz35000, app(app(ty_@2, dbc), dbd)) → new_lt18(wzz34000, wzz35000, dbc, dbd)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Integer, bba) → new_esEs16(wzz500, wzz4000)
new_ltEs19(wzz3400, wzz3500, app(app(ty_@2, dab), dac)) → new_ltEs17(wzz3400, wzz3500, dab, dac)
new_compare13(wzz34000, wzz35000, True, ea, eb) → LT
new_lt20(wzz34000, wzz35000, app(ty_Maybe, dbe)) → new_lt19(wzz34000, wzz35000, dbe)
new_compare15(:%(wzz34000, wzz34001), :%(wzz35000, wzz35001), ty_Integer) → new_compare11(new_sr0(wzz34000, wzz35001), new_sr0(wzz35000, wzz34001))
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Char) → new_esEs14(wzz500, wzz4000)
new_primPlusNat1(Succ(wzz29200), Zero) → Succ(wzz29200)
new_primPlusNat1(Zero, Succ(wzz10400)) → Succ(wzz10400)
new_compare25(Just(wzz3400), Nothing, False, chh) → GT
new_esEs30(wzz23, wzz18, ty_Float) → new_esEs17(wzz23, wzz18)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Bool, cdf) → new_ltEs7(wzz34000, wzz35000)
new_esEs29(wzz50, wzz400, app(app(ty_Either, bca), bba)) → new_esEs5(wzz50, wzz400, bca, bba)
new_compare25(Nothing, Nothing, False, chh) → LT
new_ltEs14(Right(wzz34000), Left(wzz35000), cfa, cdf) → False
new_ltEs6(wzz34002, wzz35002, ty_Bool) → new_ltEs7(wzz34002, wzz35002)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(ty_@2, bab), bac)) → new_ltEs17(wzz34000, wzz35000, bab, bac)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs18(wzz34000, wzz35000, ty_Float) → new_esEs17(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_Maybe, bbh), bba) → new_esEs7(wzz500, wzz4000, bbh)
new_ltEs19(wzz3400, wzz3500, ty_Ordering) → new_ltEs4(wzz3400, wzz3500)
new_ltEs11(wzz3400, wzz3500) → new_fsEs(new_compare9(wzz3400, wzz3500))
new_lt20(wzz34000, wzz35000, ty_Ordering) → new_lt7(wzz34000, wzz35000)
new_lt4(wzz34000, wzz35000) → new_esEs13(new_compare6(wzz34000, wzz35000), LT)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Ordering, bba) → new_esEs13(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, app(app(ty_Either, chc), chd)) → new_esEs5(wzz500, wzz4000, chc, chd)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_primCompAux0(wzz200, GT) → GT
new_lt6(wzz34001, wzz35001, ty_Float) → new_lt16(wzz34001, wzz35001)
new_compare26(wzz34000, wzz35000, True, ec, ed) → EQ
new_compare111(wzz156, wzz157, True, chg) → LT
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bfb), bfc), bfd)) → new_esEs4(wzz501, wzz4001, bfb, bfc, bfd)
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_lt18(wzz34000, wzz35000, ec, ed) → new_esEs13(new_compare12(wzz34000, wzz35000, ec, ed), LT)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_Ratio, bcg)) → new_esEs12(wzz500, wzz4000, bcg)
new_esEs18(wzz34000, wzz35000, ty_Bool) → new_esEs9(wzz34000, wzz35000)
new_lt11(wzz340, wzz350) → new_esEs13(new_compare9(wzz340, wzz350), LT)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs4(EQ, LT) → False
new_compare17(wzz34000, wzz35000, app(app(ty_Either, cac), cad)) → new_compare27(wzz34000, wzz35000, cac, cad)
new_lt20(wzz34000, wzz35000, ty_Char) → new_lt8(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, ty_Bool) → new_esEs9(wzz34001, wzz35001)
new_primCmpNat0(Succ(wzz3400), Succ(wzz3500)) → new_primCmpNat0(wzz3400, wzz3500)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Double, cdf) → new_ltEs13(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Double) → new_esEs11(wzz501, wzz4001)
new_lt20(wzz34000, wzz35000, ty_Integer) → new_lt13(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_compare112(wzz34000, wzz35000, True) → LT
new_esEs13(LT, LT) → True
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs18(wzz34000, wzz35000, ty_Int) → new_esEs10(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Double) → new_ltEs13(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_@0, bba) → new_esEs8(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(ty_Either, bch), bda)) → new_esEs5(wzz500, wzz4000, bch, bda)
new_ltEs20(wzz34001, wzz35001, ty_@0) → new_ltEs16(wzz34001, wzz35001)
new_ltEs19(wzz3400, wzz3500, app(ty_Ratio, daa)) → new_ltEs10(wzz3400, wzz3500, daa)
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_lt15(wzz34000, wzz35000, ea, eb) → new_esEs13(new_compare27(wzz34000, wzz35000, ea, eb), LT)
new_esEs19(wzz34001, wzz35001, app(app(ty_@2, fd), ff)) → new_esEs6(wzz34001, wzz35001, fd, ff)
new_compare14(Float(wzz34000, wzz34001), Float(wzz35000, wzz35001)) → new_compare9(new_sr(wzz34000, wzz35000), new_sr(wzz34001, wzz35001))
new_lt6(wzz34001, wzz35001, app(ty_Maybe, fg)) → new_lt19(wzz34001, wzz35001, fg)
new_esEs29(wzz50, wzz400, ty_Int) → new_esEs10(wzz50, wzz400)
new_ltEs4(GT, EQ) → False
new_esEs24(wzz502, wzz4002, app(ty_Ratio, bha)) → new_esEs12(wzz502, wzz4002, bha)
new_esEs26(wzz501, wzz4001, ty_@0) → new_esEs8(wzz501, wzz4001)
new_primCmpInt(Neg(Succ(wzz3400)), Neg(wzz350)) → new_primCmpNat0(wzz350, Succ(wzz3400))
new_compare16(wzz34000, wzz35000, True, ec, ed) → LT
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_@0) → new_ltEs16(wzz34000, wzz35000)
new_esEs28(wzz34000, wzz35000, ty_Double) → new_esEs11(wzz34000, wzz35000)
new_compare6(wzz34000, wzz35000) → new_compare211(wzz34000, wzz35000, new_esEs9(wzz34000, wzz35000))
new_esEs7(Nothing, Nothing, bd) → True
new_esEs15([], [], cgd) → True
new_compare15(:%(wzz34000, wzz34001), :%(wzz35000, wzz35001), ty_Int) → new_compare9(new_sr(wzz34000, wzz35001), new_sr(wzz35000, wzz34001))
new_esEs18(wzz34000, wzz35000, app(ty_Maybe, cg)) → new_esEs7(wzz34000, wzz35000, cg)
new_compare24(wzz34000, wzz35000, False) → new_compare10(wzz34000, wzz35000, new_ltEs4(wzz34000, wzz35000))
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_ltEs4(EQ, EQ) → True
new_esEs25(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Ordering) → new_esEs13(wzz23, wzz18)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(app(ty_@3, he), hf), hg)) → new_ltEs5(wzz34000, wzz35000, he, hf, hg)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs19(wzz34001, wzz35001, app(ty_[], ee)) → new_esEs15(wzz34001, wzz35001, ee)
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs13(wzz501, wzz4001)
new_ltEs18(Nothing, Nothing, hb) → True
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_primCmpNat0(Succ(wzz3400), Zero) → GT
new_lt5(wzz34000, wzz35000, app(app(ty_Either, ea), eb)) → new_lt15(wzz34000, wzz35000, ea, eb)
new_ltEs13(wzz3400, wzz3500) → new_fsEs(new_compare8(wzz3400, wzz3500))
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Char, cdf) → new_ltEs8(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(ty_Either, cc), cd)) → new_esEs5(wzz500, wzz4000, cc, cd)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz3500))) → LT
new_esEs29(wzz50, wzz400, app(app(app(ty_@3, bde), bdf), bdg)) → new_esEs4(wzz50, wzz400, bde, bdf, bdg)
new_compare210(wzz34000, wzz35000, True, df, dg, dh) → EQ
new_ltEs4(GT, LT) → False
new_esEs22(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_sr0(Integer(wzz340000), Integer(wzz350010)) → Integer(new_primMulInt(wzz340000, wzz350010))
new_lt6(wzz34001, wzz35001, app(app(ty_Either, fb), fc)) → new_lt15(wzz34001, wzz35001, fb, fc)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, be), bf), bg)) → new_esEs4(wzz500, wzz4000, be, bf, bg)
new_primPlusNat1(Succ(wzz29200), Succ(wzz10400)) → Succ(Succ(new_primPlusNat1(wzz29200, wzz10400)))
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_esEs25(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, app(app(ty_Either, dba), dbb)) → new_esEs5(wzz34000, wzz35000, dba, dbb)
new_esEs7(Nothing, Just(wzz4000), bd) → False
new_esEs7(Just(wzz500), Nothing, bd) → False
new_lt6(wzz34001, wzz35001, ty_Ordering) → new_lt7(wzz34001, wzz35001)
new_compare29(wzz34000, wzz35000, False, ea, eb) → new_compare13(wzz34000, wzz35000, new_ltEs14(wzz34000, wzz35000, ea, eb), ea, eb)
new_esEs25(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bfg)) → new_esEs12(wzz501, wzz4001, bfg)
new_ltEs20(wzz34001, wzz35001, ty_Float) → new_ltEs15(wzz34001, wzz35001)
new_esEs22(wzz500, wzz4000, app(app(ty_@2, bec), bed)) → new_esEs6(wzz500, wzz4000, bec, bed)
new_esEs18(wzz34000, wzz35000, ty_@0) → new_esEs8(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_primCmpInt(Pos(Zero), Pos(Succ(wzz3500))) → new_primCmpNat0(Zero, Succ(wzz3500))
new_compare24(wzz34000, wzz35000, True) → EQ
new_esEs22(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_lt6(wzz34001, wzz35001, app(ty_[], ee)) → new_lt9(wzz34001, wzz35001, ee)
new_compare25(Nothing, Just(wzz3500), False, chh) → LT
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Float) → new_ltEs15(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Integer) → new_ltEs12(wzz34002, wzz35002)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_lt6(wzz34001, wzz35001, ty_Integer) → new_lt13(wzz34001, wzz35001)
new_esEs19(wzz34001, wzz35001, ty_Ordering) → new_esEs13(wzz34001, wzz35001)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_[], bbg), bba) → new_esEs15(wzz500, wzz4000, bbg)
new_ltEs5(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), da, db, dc) → new_pePe(new_lt5(wzz34000, wzz35000, da), new_asAs(new_esEs18(wzz34000, wzz35000, da), new_pePe(new_lt6(wzz34001, wzz35001, db), new_asAs(new_esEs19(wzz34001, wzz35001, db), new_ltEs6(wzz34002, wzz35002, dc)))))
new_compare17(wzz34000, wzz35000, app(ty_Maybe, cag)) → new_compare7(wzz34000, wzz35000, cag)
new_primCompAux0(wzz200, LT) → LT
new_ltEs19(wzz3400, wzz3500, ty_Char) → new_ltEs8(wzz3400, wzz3500)
new_ltEs6(wzz34002, wzz35002, ty_Ordering) → new_ltEs4(wzz34002, wzz35002)
new_not(False) → True
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_Maybe, cgc)) → new_ltEs18(wzz34000, wzz35000, cgc)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs16(wzz500, wzz4000)
new_ltEs20(wzz34001, wzz35001, app(ty_Ratio, dbg)) → new_ltEs10(wzz34001, wzz35001, dbg)
new_ltEs18(Just(wzz34000), Nothing, hb) → False
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_@0) → new_ltEs16(wzz34000, wzz35000)
new_lt14(wzz34000, wzz35000) → new_esEs13(new_compare8(wzz34000, wzz35000), LT)
new_primCmpInt(Pos(Succ(wzz3400)), Pos(wzz350)) → new_primCmpNat0(Succ(wzz3400), wzz350)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, bfe), bff)) → new_esEs6(wzz501, wzz4001, bfe, bff)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Int) → new_ltEs11(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Float, bba) → new_esEs17(wzz500, wzz4000)
new_ltEs16(wzz3400, wzz3500) → new_fsEs(new_compare28(wzz3400, wzz3500))
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Double) → new_ltEs13(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, app(app(app(ty_@3, cbb), cbc), cbd)) → new_esEs4(wzz500, wzz4000, cbb, cbc, cbd)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_[], bdb)) → new_esEs15(wzz500, wzz4000, bdb)
new_compare0(:(wzz34000, wzz34001), [], bdd) → GT
new_esEs24(wzz502, wzz4002, ty_Float) → new_esEs17(wzz502, wzz4002)
new_lt6(wzz34001, wzz35001, ty_Char) → new_lt8(wzz34001, wzz35001)
new_esEs8(@0, @0) → True
new_esEs22(wzz500, wzz4000, app(app(app(ty_@3, bdh), bea), beb)) → new_esEs4(wzz500, wzz4000, bdh, bea, beb)
new_esEs26(wzz501, wzz4001, app(app(ty_Either, cdb), cdc)) → new_esEs5(wzz501, wzz4001, cdb, cdc)
new_esEs9(True, True) → True
new_lt6(wzz34001, wzz35001, ty_@0) → new_lt17(wzz34001, wzz35001)
new_compare17(wzz34000, wzz35000, ty_Ordering) → new_compare18(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, app(app(app(ty_@3, eg), eh), fa)) → new_esEs4(wzz34001, wzz35001, eg, eh, fa)
new_ltEs19(wzz3400, wzz3500, ty_Integer) → new_ltEs12(wzz3400, wzz3500)
new_primCmpInt(Pos(Succ(wzz3400)), Neg(wzz350)) → GT
new_esEs21(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_esEs28(wzz34000, wzz35000, app(ty_Maybe, dbe)) → new_esEs7(wzz34000, wzz35000, dbe)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_[], cdg), cdf) → new_ltEs9(wzz34000, wzz35000, cdg)
new_primMulInt(Pos(wzz5000), Pos(wzz40000)) → Pos(new_primMulNat0(wzz5000, wzz40000))
new_compare17(wzz34000, wzz35000, ty_@0) → new_compare28(wzz34000, wzz35000)
new_esEs24(wzz502, wzz4002, ty_Integer) → new_esEs16(wzz502, wzz4002)
new_compare7(wzz34000, wzz35000, cg) → new_compare25(wzz34000, wzz35000, new_esEs7(wzz34000, wzz35000, cg), cg)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(app(ty_@3, bcb), bcc), bcd)) → new_esEs4(wzz500, wzz4000, bcb, bcc, bcd)
new_esEs22(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_lt16(wzz34000, wzz35000) → new_esEs13(new_compare14(wzz34000, wzz35000), LT)
new_esEs5(Left(wzz500), Right(wzz4000), bca, bba) → False
new_esEs5(Right(wzz500), Left(wzz4000), bca, bba) → False
new_esEs27(wzz500, wzz4000, app(app(ty_@2, cgh), cha)) → new_esEs6(wzz500, wzz4000, cgh, cha)
new_primMulInt(Neg(wzz5000), Neg(wzz40000)) → Pos(new_primMulNat0(wzz5000, wzz40000))
new_esEs13(GT, GT) → True
new_esEs29(wzz50, wzz400, app(app(ty_@2, cah), cba)) → new_esEs6(wzz50, wzz400, cah, cba)
new_esEs30(wzz23, wzz18, app(ty_Maybe, dea)) → new_esEs7(wzz23, wzz18, dea)
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_primEqNat0(Succ(wzz5000), Zero) → False
new_esEs22(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_ltEs8(wzz3400, wzz3500) → new_fsEs(new_compare5(wzz3400, wzz3500))
new_lt20(wzz34000, wzz35000, ty_@0) → new_lt17(wzz34000, wzz35000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primPlusNat0(wzz114, wzz400000) → new_primPlusNat1(wzz114, Succ(wzz400000))
new_compare210(wzz34000, wzz35000, False, df, dg, dh) → new_compare110(wzz34000, wzz35000, new_ltEs5(wzz34000, wzz35000, df, dg, dh), df, dg, dh)
new_esEs29(wzz50, wzz400, ty_@0) → new_esEs8(wzz50, wzz400)
new_lt5(wzz34000, wzz35000, ty_Integer) → new_lt13(wzz34000, wzz35000)
new_esEs27(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_compare17(wzz34000, wzz35000, ty_Int) → new_compare9(wzz34000, wzz35000)
new_ltEs4(LT, GT) → True
new_ltEs19(wzz3400, wzz3500, ty_Bool) → new_ltEs7(wzz3400, wzz3500)
new_lt5(wzz34000, wzz35000, ty_Double) → new_lt14(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_esEs22(wzz500, wzz4000, app(ty_[], beh)) → new_esEs15(wzz500, wzz4000, beh)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz3500))) → new_primCmpNat0(Succ(wzz3500), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz3500))) → GT
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Float) → new_esEs17(wzz500, wzz4000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_Maybe, ceh), cdf) → new_ltEs18(wzz34000, wzz35000, ceh)
new_lt20(wzz34000, wzz35000, ty_Float) → new_lt16(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, ty_Char) → new_ltEs8(wzz34001, wzz35001)
new_compare0(:(wzz34000, wzz34001), :(wzz35000, wzz35001), bdd) → new_primCompAux1(wzz34000, wzz35000, new_compare0(wzz34001, wzz35001, bdd), bdd)
new_compare211(wzz34000, wzz35000, False) → new_compare112(wzz34000, wzz35000, new_ltEs7(wzz34000, wzz35000))
new_esEs28(wzz34000, wzz35000, app(ty_Ratio, dae)) → new_esEs12(wzz34000, wzz35000, dae)
new_ltEs19(wzz3400, wzz3500, ty_Int) → new_ltEs11(wzz3400, wzz3500)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(ty_Either, hh), baa)) → new_ltEs14(wzz34000, wzz35000, hh, baa)
new_esEs15([], :(wzz4000, wzz4001), cgd) → False
new_esEs15(:(wzz500, wzz501), [], cgd) → False
new_esEs28(wzz34000, wzz35000, app(app(ty_@2, dbc), dbd)) → new_esEs6(wzz34000, wzz35000, dbc, dbd)
new_esEs27(wzz500, wzz4000, app(ty_Ratio, chb)) → new_esEs12(wzz500, wzz4000, chb)
new_esEs16(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_Maybe, ccc)) → new_esEs7(wzz500, wzz4000, ccc)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(app(ty_@3, cfd), cfe), cff)) → new_ltEs5(wzz34000, wzz35000, cfd, cfe, cff)
new_esEs9(True, False) → False
new_esEs9(False, True) → False
new_lt5(wzz34000, wzz35000, ty_Bool) → new_lt4(wzz34000, wzz35000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(ty_@2, cef), ceg), cdf) → new_ltEs17(wzz34000, wzz35000, cef, ceg)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Int, bba) → new_esEs10(wzz500, wzz4000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_ltEs4(LT, EQ) → True
new_primCompAux1(wzz34000, wzz35000, wzz186, bdd) → new_primCompAux0(wzz186, new_compare17(wzz34000, wzz35000, bdd))
new_ltEs14(Left(wzz34000), Right(wzz35000), cfa, cdf) → True
new_ltEs20(wzz34001, wzz35001, ty_Bool) → new_ltEs7(wzz34001, wzz35001)
new_esEs24(wzz502, wzz4002, ty_Int) → new_esEs10(wzz502, wzz4002)
new_asAs(False, wzz159) → False
new_ltEs20(wzz34001, wzz35001, app(app(ty_Either, dcc), dcd)) → new_ltEs14(wzz34001, wzz35001, dcc, dcd)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_Ratio, cfc)) → new_ltEs10(wzz34000, wzz35000, cfc)
new_ltEs19(wzz3400, wzz3500, app(app(ty_Either, cfa), cdf)) → new_ltEs14(wzz3400, wzz3500, cfa, cdf)
new_primMulInt(Pos(wzz5000), Neg(wzz40000)) → Neg(new_primMulNat0(wzz5000, wzz40000))
new_primMulInt(Neg(wzz5000), Pos(wzz40000)) → Neg(new_primMulNat0(wzz5000, wzz40000))
new_primMulNat0(Zero, Succ(wzz400000)) → Zero
new_primMulNat0(Succ(wzz50000), Zero) → Zero
new_fsEs(wzz169) → new_not(new_esEs13(wzz169, GT))
new_esEs13(EQ, GT) → False
new_esEs13(GT, EQ) → False
new_lt6(wzz34001, wzz35001, app(app(ty_@2, fd), ff)) → new_lt18(wzz34001, wzz35001, fd, ff)
new_lt5(wzz34000, wzz35000, ty_Ordering) → new_lt7(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, ty_Bool) → new_compare6(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, app(ty_Maybe, cde)) → new_esEs7(wzz501, wzz4001, cde)
new_ltEs18(Nothing, Just(wzz35000), hb) → True
new_compare11(Integer(wzz34000), Integer(wzz35000)) → new_primCmpInt(wzz34000, wzz35000)
new_lt5(wzz34000, wzz35000, app(app(app(ty_@3, df), dg), dh)) → new_lt12(wzz34000, wzz35000, df, dg, dh)
new_compare110(wzz34000, wzz35000, True, df, dg, dh) → LT
new_lt6(wzz34001, wzz35001, ty_Double) → new_lt14(wzz34001, wzz35001)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(ty_Either, cfg), cfh)) → new_ltEs14(wzz34000, wzz35000, cfg, cfh)
new_compare17(wzz34000, wzz35000, app(ty_Ratio, bhg)) → new_compare15(wzz34000, wzz35000, bhg)
new_compare17(wzz34000, wzz35000, ty_Float) → new_compare14(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs29(wzz50, wzz400, app(ty_Ratio, bae)) → new_esEs12(wzz50, wzz400, bae)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Int, cdf) → new_ltEs11(wzz34000, wzz35000)
new_esEs30(wzz23, wzz18, app(app(ty_Either, ddf), ddg)) → new_esEs5(wzz23, wzz18, ddf, ddg)
new_compare111(wzz156, wzz157, False, chg) → GT
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Integer) → new_ltEs12(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Char) → new_ltEs8(wzz34000, wzz35000)
new_esEs9(False, False) → True
new_esEs26(wzz501, wzz4001, app(ty_Ratio, cda)) → new_esEs12(wzz501, wzz4001, cda)
new_esEs26(wzz501, wzz4001, app(ty_[], cdd)) → new_esEs15(wzz501, wzz4001, cdd)
new_esEs14(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_esEs19(wzz34001, wzz35001, ty_Integer) → new_esEs16(wzz34001, wzz35001)
new_ltEs12(wzz3400, wzz3500) → new_fsEs(new_compare11(wzz3400, wzz3500))
new_esEs7(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Double) → new_esEs11(wzz23, wzz18)
new_ltEs9(wzz3400, wzz3500, bdd) → new_fsEs(new_compare0(wzz3400, wzz3500, bdd))
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(ty_Either, ced), cee), cdf) → new_ltEs14(wzz34000, wzz35000, ced, cee)
new_ltEs19(wzz3400, wzz3500, app(app(app(ty_@3, da), db), dc)) → new_ltEs5(wzz3400, wzz3500, da, db, dc)
new_ltEs15(wzz3400, wzz3500) → new_fsEs(new_compare14(wzz3400, wzz3500))
new_ltEs4(LT, LT) → True
new_esEs30(wzz23, wzz18, app(app(ty_@2, ddc), ddd)) → new_esEs6(wzz23, wzz18, ddc, ddd)
new_compare8(Double(wzz34000, wzz34001), Double(wzz35000, wzz35001)) → new_compare9(new_sr(wzz34000, wzz35000), new_sr(wzz34001, wzz35001))
new_esEs7(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_compare16(wzz34000, wzz35000, False, ec, ed) → GT
new_lt20(wzz34000, wzz35000, app(app(ty_Either, dba), dbb)) → new_lt15(wzz34000, wzz35000, dba, dbb)
new_ltEs19(wzz3400, wzz3500, ty_Double) → new_ltEs13(wzz3400, wzz3500)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(ty_Either, bbe), bbf), bba) → new_esEs5(wzz500, wzz4000, bbe, bbf)
new_ltEs20(wzz34001, wzz35001, ty_Double) → new_ltEs13(wzz34001, wzz35001)
new_compare112(wzz34000, wzz35000, False) → GT
new_ltEs7(False, False) → True
new_esEs22(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, ty_Int) → new_esEs10(wzz34000, wzz35000)
new_esEs24(wzz502, wzz4002, ty_Bool) → new_esEs9(wzz502, wzz4002)
new_esEs29(wzz50, wzz400, ty_Integer) → new_esEs16(wzz50, wzz400)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Ordering) → new_ltEs4(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Int) → new_ltEs11(wzz34002, wzz35002)
new_esEs19(wzz34001, wzz35001, ty_@0) → new_esEs8(wzz34001, wzz35001)
new_lt5(wzz34000, wzz35000, app(app(ty_@2, ec), ed)) → new_lt18(wzz34000, wzz35000, ec, ed)
new_compare0([], :(wzz35000, wzz35001), bdd) → LT
new_lt8(wzz34000, wzz35000) → new_esEs13(new_compare5(wzz34000, wzz35000), LT)
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_Ratio, cdh), cdf) → new_ltEs10(wzz34000, wzz35000, cdh)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Integer) → new_ltEs12(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(app(app(ty_@3, bhh), caa), cab)) → new_compare19(wzz34000, wzz35000, bhh, caa, cab)
new_asAs(True, wzz159) → wzz159
new_esEs28(wzz34000, wzz35000, ty_Ordering) → new_esEs13(wzz34000, wzz35000)
new_primMulNat0(Succ(wzz50000), Succ(wzz400000)) → new_primPlusNat0(new_primMulNat0(wzz50000, Succ(wzz400000)), wzz400000)
new_esEs27(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_lt20(wzz34000, wzz35000, app(ty_Ratio, dae)) → new_lt10(wzz34000, wzz35000, dae)
new_compare12(wzz34000, wzz35000, ec, ed) → new_compare26(wzz34000, wzz35000, new_esEs6(wzz34000, wzz35000, ec, ed), ec, ed)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_esEs21(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_[], hc)) → new_ltEs9(wzz34000, wzz35000, hc)
new_esEs29(wzz50, wzz400, ty_Char) → new_esEs14(wzz50, wzz400)
new_compare211(wzz34000, wzz35000, True) → EQ
new_esEs27(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs17(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs10(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs25(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs26(wzz501, wzz4001, app(app(ty_@2, ccg), cch)) → new_esEs6(wzz501, wzz4001, ccg, cch)
new_esEs29(wzz50, wzz400, app(ty_[], cgd)) → new_esEs15(wzz50, wzz400, cgd)
new_lt10(wzz34000, wzz35000, de) → new_esEs13(new_compare15(wzz34000, wzz35000, de), LT)
new_esEs24(wzz502, wzz4002, ty_Char) → new_esEs14(wzz502, wzz4002)
new_esEs29(wzz50, wzz400, ty_Float) → new_esEs17(wzz50, wzz400)
new_lt19(wzz34000, wzz35000, cg) → new_esEs13(new_compare7(wzz34000, wzz35000, cg), LT)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Integer, cdf) → new_ltEs12(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, app(ty_[], fh)) → new_ltEs9(wzz34002, wzz35002, fh)
new_compare10(wzz34000, wzz35000, True) → LT
new_ltEs4(GT, GT) → True
new_esEs5(Left(wzz500), Left(wzz4000), ty_Bool, bba) → new_esEs9(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, app(ty_[], ddh)) → new_esEs15(wzz23, wzz18, ddh)
new_compare110(wzz34000, wzz35000, False, df, dg, dh) → GT
new_esEs24(wzz502, wzz4002, app(app(app(ty_@3, bgd), bge), bgf)) → new_esEs4(wzz502, wzz4002, bgd, bge, bgf)
new_compare10(wzz34000, wzz35000, False) → GT
new_esEs6(@2(wzz500, wzz501), @2(wzz4000, wzz4001), cah, cba) → new_asAs(new_esEs25(wzz500, wzz4000, cah), new_esEs26(wzz501, wzz4001, cba))
new_esEs22(wzz500, wzz4000, app(app(ty_Either, bef), beg)) → new_esEs5(wzz500, wzz4000, bef, beg)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_[], cfb)) → new_ltEs9(wzz34000, wzz35000, cfb)
new_esEs10(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs18(wzz34000, wzz35000, app(ty_[], dd)) → new_esEs15(wzz34000, wzz35000, dd)
new_lt9(wzz34000, wzz35000, dd) → new_esEs13(new_compare0(wzz34000, wzz35000, dd), LT)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCompAux0(wzz200, EQ) → wzz200
new_esEs24(wzz502, wzz4002, app(ty_[], bhd)) → new_esEs15(wzz502, wzz4002, bhd)
new_esEs26(wzz501, wzz4001, ty_Ordering) → new_esEs13(wzz501, wzz4001)
new_compare28(@0, @0) → EQ
new_ltEs19(wzz3400, wzz3500, ty_@0) → new_ltEs16(wzz3400, wzz3500)
new_esEs27(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_Ratio, cbg)) → new_esEs12(wzz500, wzz4000, cbg)
new_ltEs6(wzz34002, wzz35002, ty_Char) → new_ltEs8(wzz34002, wzz35002)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_Ratio, cb)) → new_esEs12(wzz500, wzz4000, cb)
new_ltEs19(wzz3400, wzz3500, app(ty_Maybe, hb)) → new_ltEs18(wzz3400, wzz3500, hb)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_compare17(wzz34000, wzz35000, ty_Integer) → new_compare11(wzz34000, wzz35000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_Maybe, bdc)) → new_esEs7(wzz500, wzz4000, bdc)
new_esEs22(wzz500, wzz4000, app(ty_Maybe, bfa)) → new_esEs7(wzz500, wzz4000, bfa)
new_lt6(wzz34001, wzz35001, app(app(app(ty_@3, eg), eh), fa)) → new_lt12(wzz34001, wzz35001, eg, eh, fa)
new_primCmpInt(Neg(Succ(wzz3400)), Pos(wzz350)) → LT
new_not(True) → False
new_lt6(wzz34001, wzz35001, ty_Int) → new_lt11(wzz34001, wzz35001)

The set Q consists of the following terms:

new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Char)
new_sr(x0, x1)
new_esEs19(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Zero)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare17(x0, x1, app(ty_[], x2))
new_lt17(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_pePe(False, x0)
new_primEqNat0(Zero, Succ(x0))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_compare211(x0, x1, True)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux0(x0, EQ)
new_esEs26(x0, x1, ty_Integer)
new_esEs13(GT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_asAs(False, x0)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, ty_Bool)
new_lt9(x0, x1, x2)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_esEs25(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Float)
new_esEs15(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare18(x0, x1)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs12(:%(x0, x1), :%(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_fsEs(x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs30(x0, x1, ty_Integer)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Nothing, Just(x0), x1)
new_ltEs18(Just(x0), Just(x1), ty_Double)
new_esEs25(x0, x1, ty_Char)
new_ltEs10(x0, x1, x2)
new_lt4(x0, x1)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(@0, @0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_pePe(True, x0)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs29(x0, x1, ty_Bool)
new_lt10(x0, x1, x2)
new_esEs19(x0, x1, ty_Int)
new_ltEs7(True, True)
new_esEs30(x0, x1, ty_Ordering)
new_esEs15([], :(x0, x1), x2)
new_lt20(x0, x1, ty_Char)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, ty_Integer)
new_ltEs18(Just(x0), Just(x1), ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_compare17(x0, x1, ty_Ordering)
new_compare11(Integer(x0), Integer(x1))
new_lt20(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare5(Char(x0), Char(x1))
new_ltEs7(True, False)
new_ltEs7(False, True)
new_compare17(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1)
new_compare9(x0, x1)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs29(x0, x1, ty_@0)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Double)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_primEqNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_esEs27(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(True, True)
new_compare17(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, ty_Integer)
new_compare25(Just(x0), Nothing, False, x1)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_compare10(x0, x1, False)
new_compare28(@0, @0)
new_primPlusNat1(Succ(x0), Zero)
new_esEs24(x0, x1, ty_Char)
new_lt16(x0, x1)
new_esEs14(Char(x0), Char(x1))
new_ltEs18(Nothing, Just(x0), x1)
new_esEs23(x0, x1, ty_Double)
new_primMulNat0(Zero, Zero)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs15(:(x0, x1), [], x2)
new_ltEs18(Just(x0), Just(x1), ty_Char)
new_lt6(x0, x1, ty_Float)
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_ltEs19(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Int)
new_lt5(x0, x1, ty_Int)
new_ltEs18(Nothing, Nothing, x0)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, ty_Integer)
new_lt6(x0, x1, ty_@0)
new_esEs19(x0, x1, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs4(GT, GT)
new_lt11(x0, x1)
new_esEs18(x0, x1, ty_Float)
new_compare6(x0, x1)
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs22(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs16(x0, x1)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(EQ, EQ)
new_ltEs13(x0, x1)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs24(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Float)
new_lt5(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_ltEs18(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Bool)
new_esEs19(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_@0)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_ltEs6(x0, x1, ty_Ordering)
new_primPlusNat0(x0, x1)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_esEs19(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt6(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare10(x0, x1, True)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(Double(x0, x1), Double(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_compare26(x0, x1, True, x2, x3)
new_primPlusNat1(Zero, Zero)
new_ltEs12(x0, x1)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_compare24(x0, x1, True)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primCompAux0(x0, GT)
new_compare211(x0, x1, False)
new_esEs16(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, ty_Float)
new_ltEs4(EQ, EQ)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_@0)
new_ltEs18(Just(x0), Just(x1), ty_Ordering)
new_compare0(:(x0, x1), [], x2)
new_esEs24(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare26(x0, x1, False, x2, x3)
new_ltEs18(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare17(x0, x1, app(ty_Maybe, x2))
new_ltEs4(LT, EQ)
new_ltEs4(EQ, LT)
new_esEs26(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_esEs28(x0, x1, ty_Integer)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs8(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_lt12(x0, x1, x2, x3, x4)
new_lt13(x0, x1)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(Just(x0), Just(x1), ty_Float)
new_esEs28(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs30(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare25(x0, x1, True, x2)
new_lt5(x0, x1, ty_Double)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt14(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare111(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt5(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_@0)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs30(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare17(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Bool)
new_ltEs9(x0, x1, x2)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs4(LT, LT)
new_compare17(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Bool)
new_lt7(x0, x1)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Double)
new_lt19(x0, x1, x2)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_@0)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Int)
new_esEs15([], [], x0)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat0(Zero, Zero)
new_esEs25(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs25(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_compare29(x0, x1, False, x2, x3)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs24(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_compare111(x0, x1, True, x2)
new_lt5(x0, x1, ty_Char)
new_lt6(x0, x1, ty_Int)
new_ltEs18(Just(x0), Nothing, x1)
new_ltEs6(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs9(False, False)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, ty_Double)
new_lt6(x0, x1, ty_Ordering)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Zero, Succ(x0))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs18(x0, x1, ty_@0)
new_esEs13(LT, LT)
new_compare12(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_@0)
new_compare112(x0, x1, True)
new_esEs27(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Float)
new_compare210(x0, x1, True, x2, x3, x4)
new_esEs23(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_compare112(x0, x1, False)
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_ltEs18(Just(x0), Just(x1), ty_Bool)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_ltEs4(EQ, GT)
new_ltEs4(GT, EQ)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_not(True)
new_primMulNat0(Zero, Succ(x0))
new_compare8(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, ty_Char)
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_compare29(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare17(x0, x1, ty_Integer)
new_lt6(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Float)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpNat0(Succ(x0), Zero)
new_not(False)
new_lt5(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_@0)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs18(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_compare25(Nothing, Nothing, False, x0)
new_compare14(Float(x0, x1), Float(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs18(Just(x0), Just(x1), app(ty_[], x2))
new_compare24(x0, x1, False)
new_ltEs11(x0, x1)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_compare25(Just(x0), Just(x1), False, x2)
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare17(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_primCompAux0(x0, LT)
new_esEs9(True, False)
new_esEs9(False, True)
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs18(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Double)
new_esEs19(x0, x1, ty_Float)
new_compare27(x0, x1, x2, x3)
new_compare0([], [], x0)
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Ordering)
new_ltEs18(Just(x0), Just(x1), ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_Int)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_lt18(x0, x1, x2, x3)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Nothing, x1)
new_ltEs19(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare110(x0, x1, False, x2, x3, x4)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), ty_Integer)
new_compare25(Nothing, Just(x0), False, x1)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs6(x0, x1, ty_Float)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs7(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare16(x0, x1, False, x2, x3)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_compare0([], :(x0, x1), x2)
new_ltEs4(GT, LT)
new_ltEs4(LT, GT)
new_ltEs17(@2(x0, x1), @2(x2, x3), x4, x5)
new_sr0(Integer(x0), Integer(x1))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_ltEs18(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Pos(x0), Pos(x1))
new_lt5(x0, x1, ty_Bool)
new_compare13(x0, x1, False, x2, x3)
new_ltEs20(x0, x1, ty_Float)
new_compare19(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Integer)
new_asAs(True, x0)
new_esEs18(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Char)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Double)
new_ltEs7(False, False)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))

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_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, False, h, ba) → new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Just(wzz400), False, h), GT), h, ba)
new_addToFM_C(wzz3, Branch(Just(wzz400), wzz41, wzz42, wzz43, wzz44), Nothing, wzz6, h, ba) → new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Just(wzz400), False, h), LT), h, ba)
new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Nothing, wzz6, h, ba)
new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz43, Nothing, wzz6, h, ba)
new_addToFM_C1(wzz3, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Nothing, wzz6, h, ba)
new_addToFM_C(wzz3, Branch(Nothing, wzz41, wzz42, wzz43, wzz44), Nothing, wzz6, h, ba) → new_addToFM_C1(wzz3, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Nothing, True, h), GT), h, ba)

The TRS R consists of the following rules:

new_lt5(wzz34000, wzz35000, ty_Float) → new_lt16(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Bool) → new_ltEs7(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_Maybe, cf)) → new_esEs7(wzz500, wzz4000, cf)
new_esEs26(wzz501, wzz4001, ty_Char) → new_esEs14(wzz501, wzz4001)
new_ltEs20(wzz34001, wzz35001, app(ty_Maybe, dcg)) → new_ltEs18(wzz34001, wzz35001, dcg)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_[], ce)) → new_esEs15(wzz500, wzz4000, ce)
new_esEs30(wzz23, wzz18, app(ty_Ratio, dde)) → new_esEs12(wzz23, wzz18, dde)
new_ltEs6(wzz34002, wzz35002, app(app(ty_@2, gg), gh)) → new_ltEs17(wzz34002, wzz35002, gg, gh)
new_esEs24(wzz502, wzz4002, app(app(ty_Either, bhb), bhc)) → new_esEs5(wzz502, wzz4002, bhb, bhc)
new_lt20(wzz34000, wzz35000, app(app(app(ty_@3, daf), dag), dah)) → new_lt12(wzz34000, wzz35000, daf, dag, dah)
new_ltEs4(EQ, GT) → True
new_esEs18(wzz34000, wzz35000, app(app(ty_@2, ec), ed)) → new_esEs6(wzz34000, wzz35000, ec, ed)
new_ltEs17(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), dab, dac) → new_pePe(new_lt20(wzz34000, wzz35000, dab), new_asAs(new_esEs28(wzz34000, wzz35000, dab), new_ltEs20(wzz34001, wzz35001, dac)))
new_esEs28(wzz34000, wzz35000, app(ty_[], dad)) → new_esEs15(wzz34000, wzz35000, dad)
new_lt7(wzz34000, wzz35000) → new_esEs13(new_compare18(wzz34000, wzz35000), LT)
new_ltEs19(wzz3400, wzz3500, app(ty_[], bdd)) → new_ltEs9(wzz3400, wzz3500, bdd)
new_esEs18(wzz34000, wzz35000, ty_Integer) → new_esEs16(wzz34000, wzz35000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, bfh), bga)) → new_esEs5(wzz501, wzz4001, bfh, bga)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_Maybe, bad)) → new_ltEs18(wzz34000, wzz35000, bad)
new_compare19(wzz34000, wzz35000, df, dg, dh) → new_compare210(wzz34000, wzz35000, new_esEs4(wzz34000, wzz35000, df, dg, dh), df, dg, dh)
new_esEs27(wzz500, wzz4000, app(ty_Maybe, chf)) → new_esEs7(wzz500, wzz4000, chf)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Ordering) → new_ltEs4(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Bool) → new_ltEs7(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(app(ty_@2, cae), caf)) → new_compare12(wzz34000, wzz35000, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs17(wzz501, wzz4001)
new_lt5(wzz34000, wzz35000, app(ty_Ratio, de)) → new_lt10(wzz34000, wzz35000, de)
new_esEs18(wzz34000, wzz35000, app(ty_Ratio, de)) → new_esEs12(wzz34000, wzz35000, de)
new_esEs26(wzz501, wzz4001, ty_Float) → new_esEs17(wzz501, wzz4001)
new_esEs18(wzz34000, wzz35000, ty_Double) → new_esEs11(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Double) → new_ltEs13(wzz34002, wzz35002)
new_primMulNat0(Zero, Zero) → Zero
new_lt6(wzz34001, wzz35001, ty_Bool) → new_lt4(wzz34001, wzz35001)
new_compare18(wzz34000, wzz35000) → new_compare24(wzz34000, wzz35000, new_esEs13(wzz34000, wzz35000))
new_esEs27(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, app(app(app(ty_@3, cge), cgf), cgg)) → new_esEs4(wzz500, wzz4000, cge, cgf, cgg)
new_esEs19(wzz34001, wzz35001, app(ty_Ratio, ef)) → new_esEs12(wzz34001, wzz35001, ef)
new_ltEs6(wzz34002, wzz35002, app(app(ty_Either, ge), gf)) → new_ltEs14(wzz34002, wzz35002, ge, gf)
new_lt20(wzz34000, wzz35000, ty_Int) → new_lt11(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, app(app(app(ty_@3, gb), gc), gd)) → new_ltEs5(wzz34002, wzz35002, gb, gc, gd)
new_compare25(wzz340, wzz350, True, chh) → EQ
new_esEs27(wzz500, wzz4000, app(ty_[], che)) → new_esEs15(wzz500, wzz4000, che)
new_esEs19(wzz34001, wzz35001, ty_Int) → new_esEs10(wzz34001, wzz35001)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs11(wzz501, wzz4001)
new_esEs13(EQ, EQ) → True
new_ltEs7(True, True) → True
new_esEs30(wzz23, wzz18, ty_Int) → new_esEs10(wzz23, wzz18)
new_ltEs20(wzz34001, wzz35001, ty_Int) → new_ltEs11(wzz34001, wzz35001)
new_esEs29(wzz50, wzz400, app(ty_Maybe, bd)) → new_esEs7(wzz50, wzz400, bd)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Int) → new_ltEs11(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, ty_Double) → new_compare8(wzz34000, wzz35000)
new_lt20(wzz34000, wzz35000, ty_Double) → new_lt14(wzz34000, wzz35000)
new_lt13(wzz34000, wzz35000) → new_esEs13(new_compare11(wzz34000, wzz35000), LT)
new_lt12(wzz34000, wzz35000, df, dg, dh) → new_esEs13(new_compare19(wzz34000, wzz35000, df, dg, dh), LT)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs9(wzz501, wzz4001)
new_compare5(Char(wzz34000), Char(wzz35000)) → new_primCmpNat0(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Char, bba) → new_esEs14(wzz500, wzz4000)
new_ltEs20(wzz34001, wzz35001, app(ty_[], dbf)) → new_ltEs9(wzz34001, wzz35001, dbf)
new_ltEs20(wzz34001, wzz35001, app(app(ty_@2, dce), dcf)) → new_ltEs17(wzz34001, wzz35001, dce, dcf)
new_ltEs6(wzz34002, wzz35002, app(ty_Maybe, ha)) → new_ltEs18(wzz34002, wzz35002, ha)
new_lt6(wzz34001, wzz35001, app(ty_Ratio, ef)) → new_lt10(wzz34001, wzz35001, ef)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(ty_@2, bh), ca)) → new_esEs6(wzz500, wzz4000, bh, ca)
new_esEs18(wzz34000, wzz35000, ty_Ordering) → new_esEs13(wzz34000, wzz35000)
new_esEs30(wzz23, wzz18, ty_Bool) → new_esEs9(wzz23, wzz18)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, baf), bag), bah), bba) → new_esEs4(wzz500, wzz4000, baf, bag, bah)
new_ltEs6(wzz34002, wzz35002, app(ty_Ratio, ga)) → new_ltEs10(wzz34002, wzz35002, ga)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_Ratio, bbd), bba) → new_esEs12(wzz500, wzz4000, bbd)
new_esEs29(wzz50, wzz400, ty_Bool) → new_esEs9(wzz50, wzz400)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Char) → new_esEs14(wzz23, wzz18)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(app(ty_@3, cea), ceb), cec), cdf) → new_ltEs5(wzz34000, wzz35000, cea, ceb, cec)
new_esEs18(wzz34000, wzz35000, app(app(app(ty_@3, df), dg), dh)) → new_esEs4(wzz34000, wzz35000, df, dg, dh)
new_esEs28(wzz34000, wzz35000, ty_Bool) → new_esEs9(wzz34000, wzz35000)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs8(wzz501, wzz4001)
new_esEs19(wzz34001, wzz35001, app(app(ty_Either, fb), fc)) → new_esEs5(wzz34001, wzz35001, fb, fc)
new_ltEs6(wzz34002, wzz35002, ty_@0) → new_ltEs16(wzz34002, wzz35002)
new_ltEs7(True, False) → False
new_lt20(wzz34000, wzz35000, ty_Bool) → new_lt4(wzz34000, wzz35000)
new_pePe(False, wzz185) → wzz185
new_esEs7(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs13(LT, EQ) → False
new_esEs13(EQ, LT) → False
new_esEs12(:%(wzz500, wzz501), :%(wzz4000, wzz4001), bae) → new_asAs(new_esEs20(wzz500, wzz4000, bae), new_esEs21(wzz501, wzz4001, bae))
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(ty_@2, cga), cgb)) → new_ltEs17(wzz34000, wzz35000, cga, cgb)
new_ltEs7(False, True) → True
new_esEs22(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_lt5(wzz34000, wzz35000, ty_@0) → new_lt17(wzz34000, wzz35000)
new_esEs11(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs10(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs27(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_ltEs6(wzz34002, wzz35002, ty_Float) → new_ltEs15(wzz34002, wzz35002)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs24(wzz502, wzz4002, app(ty_Maybe, bhe)) → new_esEs7(wzz502, wzz4002, bhe)
new_esEs28(wzz34000, wzz35000, app(app(app(ty_@3, daf), dag), dah)) → new_esEs4(wzz34000, wzz35000, daf, dag, dah)
new_esEs23(wzz501, wzz4001, app(ty_Maybe, bgc)) → new_esEs7(wzz501, wzz4001, bgc)
new_esEs24(wzz502, wzz4002, ty_Double) → new_esEs11(wzz502, wzz4002)
new_compare9(wzz34, wzz35) → new_primCmpInt(wzz34, wzz35)
new_esEs4(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bde, bdf, bdg) → new_asAs(new_esEs22(wzz500, wzz4000, bde), new_asAs(new_esEs23(wzz501, wzz4001, bdf), new_esEs24(wzz502, wzz4002, bdg)))
new_compare27(wzz34000, wzz35000, ea, eb) → new_compare29(wzz34000, wzz35000, new_esEs5(wzz34000, wzz35000, ea, eb), ea, eb)
new_esEs30(wzz23, wzz18, ty_Integer) → new_esEs16(wzz23, wzz18)
new_lt5(wzz34000, wzz35000, app(ty_Maybe, cg)) → new_lt19(wzz34000, wzz35000, cg)
new_compare13(wzz34000, wzz35000, False, ea, eb) → GT
new_ltEs20(wzz34001, wzz35001, ty_Integer) → new_ltEs12(wzz34001, wzz35001)
new_esEs30(wzz23, wzz18, ty_@0) → new_esEs8(wzz23, wzz18)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(ty_@2, bbb), bbc), bba) → new_esEs6(wzz500, wzz4000, bbb, bbc)
new_esEs22(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Double, bba) → new_esEs11(wzz500, wzz4000)
new_compare17(wzz34000, wzz35000, ty_Char) → new_compare5(wzz34000, wzz35000)
new_primCmpNat0(Zero, Succ(wzz3500)) → LT
new_lt17(wzz34000, wzz35000) → new_esEs13(new_compare28(wzz34000, wzz35000), LT)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Float, cdf) → new_ltEs15(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_Ratio, hd)) → new_ltEs10(wzz34000, wzz35000, hd)
new_ltEs19(wzz3400, wzz3500, ty_Float) → new_ltEs15(wzz3400, wzz3500)
new_esEs25(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(app(ty_Either, cbh), cca)) → new_esEs5(wzz500, wzz4000, cbh, cca)
new_esEs25(wzz500, wzz4000, app(app(ty_@2, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs19(wzz34001, wzz35001, ty_Double) → new_esEs11(wzz34001, wzz35001)
new_esEs28(wzz34000, wzz35000, ty_Char) → new_esEs14(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, ty_Float) → new_esEs17(wzz34001, wzz35001)
new_esEs28(wzz34000, wzz35000, ty_@0) → new_esEs8(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_esEs18(wzz34000, wzz35000, app(app(ty_Either, ea), eb)) → new_esEs5(wzz34000, wzz35000, ea, eb)
new_esEs24(wzz502, wzz4002, ty_@0) → new_esEs8(wzz502, wzz4002)
new_esEs19(wzz34001, wzz35001, app(ty_Maybe, fg)) → new_esEs7(wzz34001, wzz35001, fg)
new_esEs28(wzz34000, wzz35000, ty_Integer) → new_esEs16(wzz34000, wzz35000)
new_esEs27(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, ty_Float) → new_esEs17(wzz34000, wzz35000)
new_compare0([], [], bdd) → EQ
new_pePe(True, wzz185) → True
new_esEs24(wzz502, wzz4002, app(app(ty_@2, bgg), bgh)) → new_esEs6(wzz502, wzz4002, bgg, bgh)
new_primEqNat0(Zero, Zero) → True
new_esEs19(wzz34001, wzz35001, ty_Char) → new_esEs14(wzz34001, wzz35001)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(ty_@2, bce), bcf)) → new_esEs6(wzz500, wzz4000, bce, bcf)
new_esEs18(wzz34000, wzz35000, ty_Char) → new_esEs14(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, ty_Ordering) → new_ltEs4(wzz34001, wzz35001)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Ordering, cdf) → new_ltEs4(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Char) → new_ltEs8(wzz34000, wzz35000)
new_compare29(wzz34000, wzz35000, True, ea, eb) → EQ
new_esEs29(wzz50, wzz400, ty_Ordering) → new_esEs13(wzz50, wzz400)
new_esEs13(LT, GT) → False
new_esEs13(GT, LT) → False
new_lt20(wzz34000, wzz35000, app(ty_[], dad)) → new_lt9(wzz34000, wzz35000, dad)
new_esEs15(:(wzz500, wzz501), :(wzz4000, wzz4001), cgd) → new_asAs(new_esEs27(wzz500, wzz4000, cgd), new_esEs15(wzz501, wzz4001, cgd))
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs14(wzz501, wzz4001)
new_compare25(Just(wzz3400), Just(wzz3500), False, chh) → new_compare111(wzz3400, wzz3500, new_ltEs19(wzz3400, wzz3500, chh), chh)
new_lt5(wzz34000, wzz35000, ty_Char) → new_lt8(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(ty_[], bhf)) → new_compare0(wzz34000, wzz35000, bhf)
new_sr(wzz500, wzz4000) → new_primMulInt(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_[], ccb)) → new_esEs15(wzz500, wzz4000, ccb)
new_esEs24(wzz502, wzz4002, ty_Ordering) → new_esEs13(wzz502, wzz4002)
new_esEs23(wzz501, wzz4001, app(ty_[], bgb)) → new_esEs15(wzz501, wzz4001, bgb)
new_lt5(wzz34000, wzz35000, app(ty_[], dd)) → new_lt9(wzz34000, wzz35000, dd)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_@0, cdf) → new_ltEs16(wzz34000, wzz35000)
new_esEs22(wzz500, wzz4000, app(ty_Ratio, bee)) → new_esEs12(wzz500, wzz4000, bee)
new_compare26(wzz34000, wzz35000, False, ec, ed) → new_compare16(wzz34000, wzz35000, new_ltEs17(wzz34000, wzz35000, ec, ed), ec, ed)
new_esEs30(wzz23, wzz18, app(app(app(ty_@3, dch), dda), ddb)) → new_esEs4(wzz23, wzz18, dch, dda, ddb)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs14(wzz500, wzz4000)
new_esEs29(wzz50, wzz400, ty_Double) → new_esEs11(wzz50, wzz400)
new_ltEs10(wzz3400, wzz3500, daa) → new_fsEs(new_compare15(wzz3400, wzz3500, daa))
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Float) → new_ltEs15(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, app(app(app(ty_@3, ccd), cce), ccf)) → new_esEs4(wzz501, wzz4001, ccd, cce, ccf)
new_esEs26(wzz501, wzz4001, ty_Bool) → new_esEs9(wzz501, wzz4001)
new_lt5(wzz34000, wzz35000, ty_Int) → new_lt11(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs5(wzz34001, wzz35001, dbh, dca, dcb)
new_esEs22(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_lt20(wzz34000, wzz35000, app(app(ty_@2, dbc), dbd)) → new_lt18(wzz34000, wzz35000, dbc, dbd)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Integer, bba) → new_esEs16(wzz500, wzz4000)
new_ltEs19(wzz3400, wzz3500, app(app(ty_@2, dab), dac)) → new_ltEs17(wzz3400, wzz3500, dab, dac)
new_compare13(wzz34000, wzz35000, True, ea, eb) → LT
new_lt20(wzz34000, wzz35000, app(ty_Maybe, dbe)) → new_lt19(wzz34000, wzz35000, dbe)
new_compare15(:%(wzz34000, wzz34001), :%(wzz35000, wzz35001), ty_Integer) → new_compare11(new_sr0(wzz34000, wzz35001), new_sr0(wzz35000, wzz34001))
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Char) → new_esEs14(wzz500, wzz4000)
new_primPlusNat1(Succ(wzz29200), Zero) → Succ(wzz29200)
new_primPlusNat1(Zero, Succ(wzz10400)) → Succ(wzz10400)
new_compare25(Just(wzz3400), Nothing, False, chh) → GT
new_esEs30(wzz23, wzz18, ty_Float) → new_esEs17(wzz23, wzz18)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Bool, cdf) → new_ltEs7(wzz34000, wzz35000)
new_esEs29(wzz50, wzz400, app(app(ty_Either, bca), bba)) → new_esEs5(wzz50, wzz400, bca, bba)
new_compare25(Nothing, Nothing, False, chh) → LT
new_ltEs14(Right(wzz34000), Left(wzz35000), cfa, cdf) → False
new_ltEs6(wzz34002, wzz35002, ty_Bool) → new_ltEs7(wzz34002, wzz35002)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(ty_@2, bab), bac)) → new_ltEs17(wzz34000, wzz35000, bab, bac)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs18(wzz34000, wzz35000, ty_Float) → new_esEs17(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_Maybe, bbh), bba) → new_esEs7(wzz500, wzz4000, bbh)
new_ltEs19(wzz3400, wzz3500, ty_Ordering) → new_ltEs4(wzz3400, wzz3500)
new_ltEs11(wzz3400, wzz3500) → new_fsEs(new_compare9(wzz3400, wzz3500))
new_lt20(wzz34000, wzz35000, ty_Ordering) → new_lt7(wzz34000, wzz35000)
new_lt4(wzz34000, wzz35000) → new_esEs13(new_compare6(wzz34000, wzz35000), LT)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Ordering, bba) → new_esEs13(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, app(app(ty_Either, chc), chd)) → new_esEs5(wzz500, wzz4000, chc, chd)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_primCompAux0(wzz200, GT) → GT
new_lt6(wzz34001, wzz35001, ty_Float) → new_lt16(wzz34001, wzz35001)
new_compare26(wzz34000, wzz35000, True, ec, ed) → EQ
new_compare111(wzz156, wzz157, True, chg) → LT
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bfb), bfc), bfd)) → new_esEs4(wzz501, wzz4001, bfb, bfc, bfd)
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_lt18(wzz34000, wzz35000, ec, ed) → new_esEs13(new_compare12(wzz34000, wzz35000, ec, ed), LT)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_Ratio, bcg)) → new_esEs12(wzz500, wzz4000, bcg)
new_esEs18(wzz34000, wzz35000, ty_Bool) → new_esEs9(wzz34000, wzz35000)
new_lt11(wzz340, wzz350) → new_esEs13(new_compare9(wzz340, wzz350), LT)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs4(EQ, LT) → False
new_compare17(wzz34000, wzz35000, app(app(ty_Either, cac), cad)) → new_compare27(wzz34000, wzz35000, cac, cad)
new_lt20(wzz34000, wzz35000, ty_Char) → new_lt8(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, ty_Bool) → new_esEs9(wzz34001, wzz35001)
new_primCmpNat0(Succ(wzz3400), Succ(wzz3500)) → new_primCmpNat0(wzz3400, wzz3500)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Double, cdf) → new_ltEs13(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Double) → new_esEs11(wzz501, wzz4001)
new_lt20(wzz34000, wzz35000, ty_Integer) → new_lt13(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_compare112(wzz34000, wzz35000, True) → LT
new_esEs13(LT, LT) → True
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs18(wzz34000, wzz35000, ty_Int) → new_esEs10(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Double) → new_ltEs13(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_@0, bba) → new_esEs8(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(ty_Either, bch), bda)) → new_esEs5(wzz500, wzz4000, bch, bda)
new_ltEs20(wzz34001, wzz35001, ty_@0) → new_ltEs16(wzz34001, wzz35001)
new_ltEs19(wzz3400, wzz3500, app(ty_Ratio, daa)) → new_ltEs10(wzz3400, wzz3500, daa)
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_lt15(wzz34000, wzz35000, ea, eb) → new_esEs13(new_compare27(wzz34000, wzz35000, ea, eb), LT)
new_esEs19(wzz34001, wzz35001, app(app(ty_@2, fd), ff)) → new_esEs6(wzz34001, wzz35001, fd, ff)
new_compare14(Float(wzz34000, wzz34001), Float(wzz35000, wzz35001)) → new_compare9(new_sr(wzz34000, wzz35000), new_sr(wzz34001, wzz35001))
new_lt6(wzz34001, wzz35001, app(ty_Maybe, fg)) → new_lt19(wzz34001, wzz35001, fg)
new_esEs29(wzz50, wzz400, ty_Int) → new_esEs10(wzz50, wzz400)
new_ltEs4(GT, EQ) → False
new_esEs24(wzz502, wzz4002, app(ty_Ratio, bha)) → new_esEs12(wzz502, wzz4002, bha)
new_esEs26(wzz501, wzz4001, ty_@0) → new_esEs8(wzz501, wzz4001)
new_primCmpInt(Neg(Succ(wzz3400)), Neg(wzz350)) → new_primCmpNat0(wzz350, Succ(wzz3400))
new_compare16(wzz34000, wzz35000, True, ec, ed) → LT
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_@0) → new_ltEs16(wzz34000, wzz35000)
new_esEs28(wzz34000, wzz35000, ty_Double) → new_esEs11(wzz34000, wzz35000)
new_compare6(wzz34000, wzz35000) → new_compare211(wzz34000, wzz35000, new_esEs9(wzz34000, wzz35000))
new_esEs7(Nothing, Nothing, bd) → True
new_esEs15([], [], cgd) → True
new_compare15(:%(wzz34000, wzz34001), :%(wzz35000, wzz35001), ty_Int) → new_compare9(new_sr(wzz34000, wzz35001), new_sr(wzz35000, wzz34001))
new_esEs18(wzz34000, wzz35000, app(ty_Maybe, cg)) → new_esEs7(wzz34000, wzz35000, cg)
new_compare24(wzz34000, wzz35000, False) → new_compare10(wzz34000, wzz35000, new_ltEs4(wzz34000, wzz35000))
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_ltEs4(EQ, EQ) → True
new_esEs25(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Ordering) → new_esEs13(wzz23, wzz18)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(app(ty_@3, he), hf), hg)) → new_ltEs5(wzz34000, wzz35000, he, hf, hg)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs19(wzz34001, wzz35001, app(ty_[], ee)) → new_esEs15(wzz34001, wzz35001, ee)
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs13(wzz501, wzz4001)
new_ltEs18(Nothing, Nothing, hb) → True
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_primCmpNat0(Succ(wzz3400), Zero) → GT
new_lt5(wzz34000, wzz35000, app(app(ty_Either, ea), eb)) → new_lt15(wzz34000, wzz35000, ea, eb)
new_ltEs13(wzz3400, wzz3500) → new_fsEs(new_compare8(wzz3400, wzz3500))
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Char, cdf) → new_ltEs8(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(ty_Either, cc), cd)) → new_esEs5(wzz500, wzz4000, cc, cd)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz3500))) → LT
new_esEs29(wzz50, wzz400, app(app(app(ty_@3, bde), bdf), bdg)) → new_esEs4(wzz50, wzz400, bde, bdf, bdg)
new_compare210(wzz34000, wzz35000, True, df, dg, dh) → EQ
new_ltEs4(GT, LT) → False
new_esEs22(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_sr0(Integer(wzz340000), Integer(wzz350010)) → Integer(new_primMulInt(wzz340000, wzz350010))
new_lt6(wzz34001, wzz35001, app(app(ty_Either, fb), fc)) → new_lt15(wzz34001, wzz35001, fb, fc)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, be), bf), bg)) → new_esEs4(wzz500, wzz4000, be, bf, bg)
new_primPlusNat1(Succ(wzz29200), Succ(wzz10400)) → Succ(Succ(new_primPlusNat1(wzz29200, wzz10400)))
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_esEs25(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, app(app(ty_Either, dba), dbb)) → new_esEs5(wzz34000, wzz35000, dba, dbb)
new_esEs7(Nothing, Just(wzz4000), bd) → False
new_esEs7(Just(wzz500), Nothing, bd) → False
new_lt6(wzz34001, wzz35001, ty_Ordering) → new_lt7(wzz34001, wzz35001)
new_compare29(wzz34000, wzz35000, False, ea, eb) → new_compare13(wzz34000, wzz35000, new_ltEs14(wzz34000, wzz35000, ea, eb), ea, eb)
new_esEs25(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bfg)) → new_esEs12(wzz501, wzz4001, bfg)
new_ltEs20(wzz34001, wzz35001, ty_Float) → new_ltEs15(wzz34001, wzz35001)
new_esEs22(wzz500, wzz4000, app(app(ty_@2, bec), bed)) → new_esEs6(wzz500, wzz4000, bec, bed)
new_esEs18(wzz34000, wzz35000, ty_@0) → new_esEs8(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_primCmpInt(Pos(Zero), Pos(Succ(wzz3500))) → new_primCmpNat0(Zero, Succ(wzz3500))
new_compare24(wzz34000, wzz35000, True) → EQ
new_esEs22(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_lt6(wzz34001, wzz35001, app(ty_[], ee)) → new_lt9(wzz34001, wzz35001, ee)
new_compare25(Nothing, Just(wzz3500), False, chh) → LT
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Float) → new_ltEs15(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Integer) → new_ltEs12(wzz34002, wzz35002)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_lt6(wzz34001, wzz35001, ty_Integer) → new_lt13(wzz34001, wzz35001)
new_esEs19(wzz34001, wzz35001, ty_Ordering) → new_esEs13(wzz34001, wzz35001)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_[], bbg), bba) → new_esEs15(wzz500, wzz4000, bbg)
new_ltEs5(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), da, db, dc) → new_pePe(new_lt5(wzz34000, wzz35000, da), new_asAs(new_esEs18(wzz34000, wzz35000, da), new_pePe(new_lt6(wzz34001, wzz35001, db), new_asAs(new_esEs19(wzz34001, wzz35001, db), new_ltEs6(wzz34002, wzz35002, dc)))))
new_compare17(wzz34000, wzz35000, app(ty_Maybe, cag)) → new_compare7(wzz34000, wzz35000, cag)
new_primCompAux0(wzz200, LT) → LT
new_ltEs19(wzz3400, wzz3500, ty_Char) → new_ltEs8(wzz3400, wzz3500)
new_ltEs6(wzz34002, wzz35002, ty_Ordering) → new_ltEs4(wzz34002, wzz35002)
new_not(False) → True
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_Maybe, cgc)) → new_ltEs18(wzz34000, wzz35000, cgc)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs16(wzz500, wzz4000)
new_ltEs20(wzz34001, wzz35001, app(ty_Ratio, dbg)) → new_ltEs10(wzz34001, wzz35001, dbg)
new_ltEs18(Just(wzz34000), Nothing, hb) → False
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_@0) → new_ltEs16(wzz34000, wzz35000)
new_lt14(wzz34000, wzz35000) → new_esEs13(new_compare8(wzz34000, wzz35000), LT)
new_primCmpInt(Pos(Succ(wzz3400)), Pos(wzz350)) → new_primCmpNat0(Succ(wzz3400), wzz350)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, bfe), bff)) → new_esEs6(wzz501, wzz4001, bfe, bff)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Int) → new_ltEs11(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Float, bba) → new_esEs17(wzz500, wzz4000)
new_ltEs16(wzz3400, wzz3500) → new_fsEs(new_compare28(wzz3400, wzz3500))
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Double) → new_ltEs13(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, app(app(app(ty_@3, cbb), cbc), cbd)) → new_esEs4(wzz500, wzz4000, cbb, cbc, cbd)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_[], bdb)) → new_esEs15(wzz500, wzz4000, bdb)
new_compare0(:(wzz34000, wzz34001), [], bdd) → GT
new_esEs24(wzz502, wzz4002, ty_Float) → new_esEs17(wzz502, wzz4002)
new_lt6(wzz34001, wzz35001, ty_Char) → new_lt8(wzz34001, wzz35001)
new_esEs8(@0, @0) → True
new_esEs22(wzz500, wzz4000, app(app(app(ty_@3, bdh), bea), beb)) → new_esEs4(wzz500, wzz4000, bdh, bea, beb)
new_esEs26(wzz501, wzz4001, app(app(ty_Either, cdb), cdc)) → new_esEs5(wzz501, wzz4001, cdb, cdc)
new_esEs9(True, True) → True
new_lt6(wzz34001, wzz35001, ty_@0) → new_lt17(wzz34001, wzz35001)
new_compare17(wzz34000, wzz35000, ty_Ordering) → new_compare18(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, app(app(app(ty_@3, eg), eh), fa)) → new_esEs4(wzz34001, wzz35001, eg, eh, fa)
new_ltEs19(wzz3400, wzz3500, ty_Integer) → new_ltEs12(wzz3400, wzz3500)
new_primCmpInt(Pos(Succ(wzz3400)), Neg(wzz350)) → GT
new_esEs21(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_esEs28(wzz34000, wzz35000, app(ty_Maybe, dbe)) → new_esEs7(wzz34000, wzz35000, dbe)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_[], cdg), cdf) → new_ltEs9(wzz34000, wzz35000, cdg)
new_primMulInt(Pos(wzz5000), Pos(wzz40000)) → Pos(new_primMulNat0(wzz5000, wzz40000))
new_compare17(wzz34000, wzz35000, ty_@0) → new_compare28(wzz34000, wzz35000)
new_esEs24(wzz502, wzz4002, ty_Integer) → new_esEs16(wzz502, wzz4002)
new_compare7(wzz34000, wzz35000, cg) → new_compare25(wzz34000, wzz35000, new_esEs7(wzz34000, wzz35000, cg), cg)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(app(ty_@3, bcb), bcc), bcd)) → new_esEs4(wzz500, wzz4000, bcb, bcc, bcd)
new_esEs22(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_lt16(wzz34000, wzz35000) → new_esEs13(new_compare14(wzz34000, wzz35000), LT)
new_esEs5(Left(wzz500), Right(wzz4000), bca, bba) → False
new_esEs5(Right(wzz500), Left(wzz4000), bca, bba) → False
new_esEs27(wzz500, wzz4000, app(app(ty_@2, cgh), cha)) → new_esEs6(wzz500, wzz4000, cgh, cha)
new_primMulInt(Neg(wzz5000), Neg(wzz40000)) → Pos(new_primMulNat0(wzz5000, wzz40000))
new_esEs13(GT, GT) → True
new_esEs29(wzz50, wzz400, app(app(ty_@2, cah), cba)) → new_esEs6(wzz50, wzz400, cah, cba)
new_esEs30(wzz23, wzz18, app(ty_Maybe, dea)) → new_esEs7(wzz23, wzz18, dea)
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_primEqNat0(Succ(wzz5000), Zero) → False
new_esEs22(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_ltEs8(wzz3400, wzz3500) → new_fsEs(new_compare5(wzz3400, wzz3500))
new_lt20(wzz34000, wzz35000, ty_@0) → new_lt17(wzz34000, wzz35000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primPlusNat0(wzz114, wzz400000) → new_primPlusNat1(wzz114, Succ(wzz400000))
new_compare210(wzz34000, wzz35000, False, df, dg, dh) → new_compare110(wzz34000, wzz35000, new_ltEs5(wzz34000, wzz35000, df, dg, dh), df, dg, dh)
new_esEs29(wzz50, wzz400, ty_@0) → new_esEs8(wzz50, wzz400)
new_lt5(wzz34000, wzz35000, ty_Integer) → new_lt13(wzz34000, wzz35000)
new_esEs27(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_compare17(wzz34000, wzz35000, ty_Int) → new_compare9(wzz34000, wzz35000)
new_ltEs4(LT, GT) → True
new_ltEs19(wzz3400, wzz3500, ty_Bool) → new_ltEs7(wzz3400, wzz3500)
new_lt5(wzz34000, wzz35000, ty_Double) → new_lt14(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_esEs22(wzz500, wzz4000, app(ty_[], beh)) → new_esEs15(wzz500, wzz4000, beh)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz3500))) → new_primCmpNat0(Succ(wzz3500), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz3500))) → GT
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Float) → new_esEs17(wzz500, wzz4000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_Maybe, ceh), cdf) → new_ltEs18(wzz34000, wzz35000, ceh)
new_lt20(wzz34000, wzz35000, ty_Float) → new_lt16(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, ty_Char) → new_ltEs8(wzz34001, wzz35001)
new_compare0(:(wzz34000, wzz34001), :(wzz35000, wzz35001), bdd) → new_primCompAux1(wzz34000, wzz35000, new_compare0(wzz34001, wzz35001, bdd), bdd)
new_compare211(wzz34000, wzz35000, False) → new_compare112(wzz34000, wzz35000, new_ltEs7(wzz34000, wzz35000))
new_esEs28(wzz34000, wzz35000, app(ty_Ratio, dae)) → new_esEs12(wzz34000, wzz35000, dae)
new_ltEs19(wzz3400, wzz3500, ty_Int) → new_ltEs11(wzz3400, wzz3500)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(ty_Either, hh), baa)) → new_ltEs14(wzz34000, wzz35000, hh, baa)
new_esEs15([], :(wzz4000, wzz4001), cgd) → False
new_esEs15(:(wzz500, wzz501), [], cgd) → False
new_esEs28(wzz34000, wzz35000, app(app(ty_@2, dbc), dbd)) → new_esEs6(wzz34000, wzz35000, dbc, dbd)
new_esEs27(wzz500, wzz4000, app(ty_Ratio, chb)) → new_esEs12(wzz500, wzz4000, chb)
new_esEs16(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_Maybe, ccc)) → new_esEs7(wzz500, wzz4000, ccc)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(app(ty_@3, cfd), cfe), cff)) → new_ltEs5(wzz34000, wzz35000, cfd, cfe, cff)
new_esEs9(True, False) → False
new_esEs9(False, True) → False
new_lt5(wzz34000, wzz35000, ty_Bool) → new_lt4(wzz34000, wzz35000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(ty_@2, cef), ceg), cdf) → new_ltEs17(wzz34000, wzz35000, cef, ceg)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Int, bba) → new_esEs10(wzz500, wzz4000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_ltEs4(LT, EQ) → True
new_primCompAux1(wzz34000, wzz35000, wzz186, bdd) → new_primCompAux0(wzz186, new_compare17(wzz34000, wzz35000, bdd))
new_ltEs14(Left(wzz34000), Right(wzz35000), cfa, cdf) → True
new_ltEs20(wzz34001, wzz35001, ty_Bool) → new_ltEs7(wzz34001, wzz35001)
new_esEs24(wzz502, wzz4002, ty_Int) → new_esEs10(wzz502, wzz4002)
new_asAs(False, wzz159) → False
new_ltEs20(wzz34001, wzz35001, app(app(ty_Either, dcc), dcd)) → new_ltEs14(wzz34001, wzz35001, dcc, dcd)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_Ratio, cfc)) → new_ltEs10(wzz34000, wzz35000, cfc)
new_ltEs19(wzz3400, wzz3500, app(app(ty_Either, cfa), cdf)) → new_ltEs14(wzz3400, wzz3500, cfa, cdf)
new_primMulInt(Pos(wzz5000), Neg(wzz40000)) → Neg(new_primMulNat0(wzz5000, wzz40000))
new_primMulInt(Neg(wzz5000), Pos(wzz40000)) → Neg(new_primMulNat0(wzz5000, wzz40000))
new_primMulNat0(Zero, Succ(wzz400000)) → Zero
new_primMulNat0(Succ(wzz50000), Zero) → Zero
new_fsEs(wzz169) → new_not(new_esEs13(wzz169, GT))
new_esEs13(EQ, GT) → False
new_esEs13(GT, EQ) → False
new_lt6(wzz34001, wzz35001, app(app(ty_@2, fd), ff)) → new_lt18(wzz34001, wzz35001, fd, ff)
new_lt5(wzz34000, wzz35000, ty_Ordering) → new_lt7(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, ty_Bool) → new_compare6(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, app(ty_Maybe, cde)) → new_esEs7(wzz501, wzz4001, cde)
new_ltEs18(Nothing, Just(wzz35000), hb) → True
new_compare11(Integer(wzz34000), Integer(wzz35000)) → new_primCmpInt(wzz34000, wzz35000)
new_lt5(wzz34000, wzz35000, app(app(app(ty_@3, df), dg), dh)) → new_lt12(wzz34000, wzz35000, df, dg, dh)
new_compare110(wzz34000, wzz35000, True, df, dg, dh) → LT
new_lt6(wzz34001, wzz35001, ty_Double) → new_lt14(wzz34001, wzz35001)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(ty_Either, cfg), cfh)) → new_ltEs14(wzz34000, wzz35000, cfg, cfh)
new_compare17(wzz34000, wzz35000, app(ty_Ratio, bhg)) → new_compare15(wzz34000, wzz35000, bhg)
new_compare17(wzz34000, wzz35000, ty_Float) → new_compare14(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs29(wzz50, wzz400, app(ty_Ratio, bae)) → new_esEs12(wzz50, wzz400, bae)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Int, cdf) → new_ltEs11(wzz34000, wzz35000)
new_esEs30(wzz23, wzz18, app(app(ty_Either, ddf), ddg)) → new_esEs5(wzz23, wzz18, ddf, ddg)
new_compare111(wzz156, wzz157, False, chg) → GT
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Integer) → new_ltEs12(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Char) → new_ltEs8(wzz34000, wzz35000)
new_esEs9(False, False) → True
new_esEs26(wzz501, wzz4001, app(ty_Ratio, cda)) → new_esEs12(wzz501, wzz4001, cda)
new_esEs26(wzz501, wzz4001, app(ty_[], cdd)) → new_esEs15(wzz501, wzz4001, cdd)
new_esEs14(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_esEs19(wzz34001, wzz35001, ty_Integer) → new_esEs16(wzz34001, wzz35001)
new_ltEs12(wzz3400, wzz3500) → new_fsEs(new_compare11(wzz3400, wzz3500))
new_esEs7(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Double) → new_esEs11(wzz23, wzz18)
new_ltEs9(wzz3400, wzz3500, bdd) → new_fsEs(new_compare0(wzz3400, wzz3500, bdd))
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(ty_Either, ced), cee), cdf) → new_ltEs14(wzz34000, wzz35000, ced, cee)
new_ltEs19(wzz3400, wzz3500, app(app(app(ty_@3, da), db), dc)) → new_ltEs5(wzz3400, wzz3500, da, db, dc)
new_ltEs15(wzz3400, wzz3500) → new_fsEs(new_compare14(wzz3400, wzz3500))
new_ltEs4(LT, LT) → True
new_esEs30(wzz23, wzz18, app(app(ty_@2, ddc), ddd)) → new_esEs6(wzz23, wzz18, ddc, ddd)
new_compare8(Double(wzz34000, wzz34001), Double(wzz35000, wzz35001)) → new_compare9(new_sr(wzz34000, wzz35000), new_sr(wzz34001, wzz35001))
new_esEs7(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_compare16(wzz34000, wzz35000, False, ec, ed) → GT
new_lt20(wzz34000, wzz35000, app(app(ty_Either, dba), dbb)) → new_lt15(wzz34000, wzz35000, dba, dbb)
new_ltEs19(wzz3400, wzz3500, ty_Double) → new_ltEs13(wzz3400, wzz3500)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(ty_Either, bbe), bbf), bba) → new_esEs5(wzz500, wzz4000, bbe, bbf)
new_ltEs20(wzz34001, wzz35001, ty_Double) → new_ltEs13(wzz34001, wzz35001)
new_compare112(wzz34000, wzz35000, False) → GT
new_ltEs7(False, False) → True
new_esEs22(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, ty_Int) → new_esEs10(wzz34000, wzz35000)
new_esEs24(wzz502, wzz4002, ty_Bool) → new_esEs9(wzz502, wzz4002)
new_esEs29(wzz50, wzz400, ty_Integer) → new_esEs16(wzz50, wzz400)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Ordering) → new_ltEs4(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Int) → new_ltEs11(wzz34002, wzz35002)
new_esEs19(wzz34001, wzz35001, ty_@0) → new_esEs8(wzz34001, wzz35001)
new_lt5(wzz34000, wzz35000, app(app(ty_@2, ec), ed)) → new_lt18(wzz34000, wzz35000, ec, ed)
new_compare0([], :(wzz35000, wzz35001), bdd) → LT
new_lt8(wzz34000, wzz35000) → new_esEs13(new_compare5(wzz34000, wzz35000), LT)
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_Ratio, cdh), cdf) → new_ltEs10(wzz34000, wzz35000, cdh)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Integer) → new_ltEs12(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(app(app(ty_@3, bhh), caa), cab)) → new_compare19(wzz34000, wzz35000, bhh, caa, cab)
new_asAs(True, wzz159) → wzz159
new_esEs28(wzz34000, wzz35000, ty_Ordering) → new_esEs13(wzz34000, wzz35000)
new_primMulNat0(Succ(wzz50000), Succ(wzz400000)) → new_primPlusNat0(new_primMulNat0(wzz50000, Succ(wzz400000)), wzz400000)
new_esEs27(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_lt20(wzz34000, wzz35000, app(ty_Ratio, dae)) → new_lt10(wzz34000, wzz35000, dae)
new_compare12(wzz34000, wzz35000, ec, ed) → new_compare26(wzz34000, wzz35000, new_esEs6(wzz34000, wzz35000, ec, ed), ec, ed)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_esEs21(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_[], hc)) → new_ltEs9(wzz34000, wzz35000, hc)
new_esEs29(wzz50, wzz400, ty_Char) → new_esEs14(wzz50, wzz400)
new_compare211(wzz34000, wzz35000, True) → EQ
new_esEs27(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs17(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs10(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs25(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs26(wzz501, wzz4001, app(app(ty_@2, ccg), cch)) → new_esEs6(wzz501, wzz4001, ccg, cch)
new_esEs29(wzz50, wzz400, app(ty_[], cgd)) → new_esEs15(wzz50, wzz400, cgd)
new_lt10(wzz34000, wzz35000, de) → new_esEs13(new_compare15(wzz34000, wzz35000, de), LT)
new_esEs24(wzz502, wzz4002, ty_Char) → new_esEs14(wzz502, wzz4002)
new_esEs29(wzz50, wzz400, ty_Float) → new_esEs17(wzz50, wzz400)
new_lt19(wzz34000, wzz35000, cg) → new_esEs13(new_compare7(wzz34000, wzz35000, cg), LT)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Integer, cdf) → new_ltEs12(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, app(ty_[], fh)) → new_ltEs9(wzz34002, wzz35002, fh)
new_compare10(wzz34000, wzz35000, True) → LT
new_ltEs4(GT, GT) → True
new_esEs5(Left(wzz500), Left(wzz4000), ty_Bool, bba) → new_esEs9(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, app(ty_[], ddh)) → new_esEs15(wzz23, wzz18, ddh)
new_compare110(wzz34000, wzz35000, False, df, dg, dh) → GT
new_esEs24(wzz502, wzz4002, app(app(app(ty_@3, bgd), bge), bgf)) → new_esEs4(wzz502, wzz4002, bgd, bge, bgf)
new_compare10(wzz34000, wzz35000, False) → GT
new_esEs6(@2(wzz500, wzz501), @2(wzz4000, wzz4001), cah, cba) → new_asAs(new_esEs25(wzz500, wzz4000, cah), new_esEs26(wzz501, wzz4001, cba))
new_esEs22(wzz500, wzz4000, app(app(ty_Either, bef), beg)) → new_esEs5(wzz500, wzz4000, bef, beg)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_[], cfb)) → new_ltEs9(wzz34000, wzz35000, cfb)
new_esEs10(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs18(wzz34000, wzz35000, app(ty_[], dd)) → new_esEs15(wzz34000, wzz35000, dd)
new_lt9(wzz34000, wzz35000, dd) → new_esEs13(new_compare0(wzz34000, wzz35000, dd), LT)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCompAux0(wzz200, EQ) → wzz200
new_esEs24(wzz502, wzz4002, app(ty_[], bhd)) → new_esEs15(wzz502, wzz4002, bhd)
new_esEs26(wzz501, wzz4001, ty_Ordering) → new_esEs13(wzz501, wzz4001)
new_compare28(@0, @0) → EQ
new_ltEs19(wzz3400, wzz3500, ty_@0) → new_ltEs16(wzz3400, wzz3500)
new_esEs27(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_Ratio, cbg)) → new_esEs12(wzz500, wzz4000, cbg)
new_ltEs6(wzz34002, wzz35002, ty_Char) → new_ltEs8(wzz34002, wzz35002)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_Ratio, cb)) → new_esEs12(wzz500, wzz4000, cb)
new_ltEs19(wzz3400, wzz3500, app(ty_Maybe, hb)) → new_ltEs18(wzz3400, wzz3500, hb)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_compare17(wzz34000, wzz35000, ty_Integer) → new_compare11(wzz34000, wzz35000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_Maybe, bdc)) → new_esEs7(wzz500, wzz4000, bdc)
new_esEs22(wzz500, wzz4000, app(ty_Maybe, bfa)) → new_esEs7(wzz500, wzz4000, bfa)
new_lt6(wzz34001, wzz35001, app(app(app(ty_@3, eg), eh), fa)) → new_lt12(wzz34001, wzz35001, eg, eh, fa)
new_primCmpInt(Neg(Succ(wzz3400)), Pos(wzz350)) → LT
new_not(True) → False
new_lt6(wzz34001, wzz35001, ty_Int) → new_lt11(wzz34001, wzz35001)

The set Q consists of the following terms:

new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Char)
new_sr(x0, x1)
new_esEs19(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Zero)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare17(x0, x1, app(ty_[], x2))
new_lt17(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_pePe(False, x0)
new_primEqNat0(Zero, Succ(x0))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_compare211(x0, x1, True)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux0(x0, EQ)
new_esEs26(x0, x1, ty_Integer)
new_esEs13(GT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_asAs(False, x0)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, ty_Bool)
new_lt9(x0, x1, x2)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_esEs25(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Float)
new_esEs15(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare18(x0, x1)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs12(:%(x0, x1), :%(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_fsEs(x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs30(x0, x1, ty_Integer)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Nothing, Just(x0), x1)
new_ltEs18(Just(x0), Just(x1), ty_Double)
new_esEs25(x0, x1, ty_Char)
new_ltEs10(x0, x1, x2)
new_lt4(x0, x1)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(@0, @0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_pePe(True, x0)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs29(x0, x1, ty_Bool)
new_lt10(x0, x1, x2)
new_esEs19(x0, x1, ty_Int)
new_ltEs7(True, True)
new_esEs30(x0, x1, ty_Ordering)
new_esEs15([], :(x0, x1), x2)
new_lt20(x0, x1, ty_Char)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, ty_Integer)
new_ltEs18(Just(x0), Just(x1), ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_compare17(x0, x1, ty_Ordering)
new_compare11(Integer(x0), Integer(x1))
new_lt20(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare5(Char(x0), Char(x1))
new_ltEs7(True, False)
new_ltEs7(False, True)
new_compare17(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1)
new_compare9(x0, x1)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs29(x0, x1, ty_@0)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Double)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_primEqNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_esEs27(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(True, True)
new_compare17(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, ty_Integer)
new_compare25(Just(x0), Nothing, False, x1)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_compare10(x0, x1, False)
new_compare28(@0, @0)
new_primPlusNat1(Succ(x0), Zero)
new_esEs24(x0, x1, ty_Char)
new_lt16(x0, x1)
new_esEs14(Char(x0), Char(x1))
new_ltEs18(Nothing, Just(x0), x1)
new_esEs23(x0, x1, ty_Double)
new_primMulNat0(Zero, Zero)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs15(:(x0, x1), [], x2)
new_ltEs18(Just(x0), Just(x1), ty_Char)
new_lt6(x0, x1, ty_Float)
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_ltEs19(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Int)
new_lt5(x0, x1, ty_Int)
new_ltEs18(Nothing, Nothing, x0)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, ty_Integer)
new_lt6(x0, x1, ty_@0)
new_esEs19(x0, x1, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs4(GT, GT)
new_lt11(x0, x1)
new_esEs18(x0, x1, ty_Float)
new_compare6(x0, x1)
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs22(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs16(x0, x1)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(EQ, EQ)
new_ltEs13(x0, x1)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs24(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Float)
new_lt5(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_ltEs18(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Bool)
new_esEs19(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_@0)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_ltEs6(x0, x1, ty_Ordering)
new_primPlusNat0(x0, x1)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_esEs19(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt6(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare10(x0, x1, True)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(Double(x0, x1), Double(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_compare26(x0, x1, True, x2, x3)
new_primPlusNat1(Zero, Zero)
new_ltEs12(x0, x1)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_compare24(x0, x1, True)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primCompAux0(x0, GT)
new_compare211(x0, x1, False)
new_esEs16(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, ty_Float)
new_ltEs4(EQ, EQ)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_@0)
new_ltEs18(Just(x0), Just(x1), ty_Ordering)
new_compare0(:(x0, x1), [], x2)
new_esEs24(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare26(x0, x1, False, x2, x3)
new_ltEs18(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare17(x0, x1, app(ty_Maybe, x2))
new_ltEs4(LT, EQ)
new_ltEs4(EQ, LT)
new_esEs26(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_esEs28(x0, x1, ty_Integer)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs8(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_lt12(x0, x1, x2, x3, x4)
new_lt13(x0, x1)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(Just(x0), Just(x1), ty_Float)
new_esEs28(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs30(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare25(x0, x1, True, x2)
new_lt5(x0, x1, ty_Double)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt14(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare111(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt5(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_@0)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs30(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare17(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Bool)
new_ltEs9(x0, x1, x2)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs4(LT, LT)
new_compare17(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Bool)
new_lt7(x0, x1)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Double)
new_lt19(x0, x1, x2)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_@0)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Int)
new_esEs15([], [], x0)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat0(Zero, Zero)
new_esEs25(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs25(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_compare29(x0, x1, False, x2, x3)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs24(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_compare111(x0, x1, True, x2)
new_lt5(x0, x1, ty_Char)
new_lt6(x0, x1, ty_Int)
new_ltEs18(Just(x0), Nothing, x1)
new_ltEs6(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs9(False, False)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, ty_Double)
new_lt6(x0, x1, ty_Ordering)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Zero, Succ(x0))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs18(x0, x1, ty_@0)
new_esEs13(LT, LT)
new_compare12(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_@0)
new_compare112(x0, x1, True)
new_esEs27(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Float)
new_compare210(x0, x1, True, x2, x3, x4)
new_esEs23(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_compare112(x0, x1, False)
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_ltEs18(Just(x0), Just(x1), ty_Bool)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_ltEs4(EQ, GT)
new_ltEs4(GT, EQ)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_not(True)
new_primMulNat0(Zero, Succ(x0))
new_compare8(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, ty_Char)
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_compare29(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare17(x0, x1, ty_Integer)
new_lt6(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Float)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpNat0(Succ(x0), Zero)
new_not(False)
new_lt5(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_@0)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs18(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_compare25(Nothing, Nothing, False, x0)
new_compare14(Float(x0, x1), Float(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs18(Just(x0), Just(x1), app(ty_[], x2))
new_compare24(x0, x1, False)
new_ltEs11(x0, x1)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_compare25(Just(x0), Just(x1), False, x2)
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare17(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_primCompAux0(x0, LT)
new_esEs9(True, False)
new_esEs9(False, True)
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs18(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Double)
new_esEs19(x0, x1, ty_Float)
new_compare27(x0, x1, x2, x3)
new_compare0([], [], x0)
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Ordering)
new_ltEs18(Just(x0), Just(x1), ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_Int)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_lt18(x0, x1, x2, x3)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Nothing, x1)
new_ltEs19(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare110(x0, x1, False, x2, x3, x4)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), ty_Integer)
new_compare25(Nothing, Just(x0), False, x1)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs6(x0, x1, ty_Float)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs7(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare16(x0, x1, False, x2, x3)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_compare0([], :(x0, x1), x2)
new_ltEs4(GT, LT)
new_ltEs4(LT, GT)
new_ltEs17(@2(x0, x1), @2(x2, x3), x4, x5)
new_sr0(Integer(x0), Integer(x1))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_ltEs18(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Pos(x0), Pos(x1))
new_lt5(x0, x1, ty_Bool)
new_compare13(x0, x1, False, x2, x3)
new_ltEs20(x0, x1, ty_Float)
new_compare19(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Integer)
new_asAs(True, x0)
new_esEs18(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Char)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Double)
new_ltEs7(False, False)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))

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_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, False, h, ba) → new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Just(wzz400), False, h), GT), h, ba)
new_addToFM_C(wzz3, Branch(Just(wzz400), wzz41, wzz42, wzz43, wzz44), Nothing, wzz6, h, ba) → new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Just(wzz400), False, h), LT), h, ba)
new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Nothing, wzz6, h, ba)
new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz43, Nothing, wzz6, h, ba)
new_addToFM_C1(wzz3, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Nothing, wzz6, h, ba)
new_addToFM_C(wzz3, Branch(Nothing, wzz41, wzz42, wzz43, wzz44), Nothing, wzz6, h, ba) → new_addToFM_C1(wzz3, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Nothing, True, h), GT), h, ba)

The TRS R consists of the following rules:

new_compare25(Nothing, Just(wzz3500), False, chh) → LT
new_esEs13(LT, GT) → False
new_esEs13(GT, GT) → True
new_esEs13(EQ, GT) → False
new_compare25(wzz340, wzz350, True, chh) → EQ
new_esEs13(EQ, LT) → False
new_esEs13(GT, LT) → False
new_esEs13(LT, LT) → True

The set Q consists of the following terms:

new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Char)
new_sr(x0, x1)
new_esEs19(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Zero)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare17(x0, x1, app(ty_[], x2))
new_lt17(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_pePe(False, x0)
new_primEqNat0(Zero, Succ(x0))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_compare211(x0, x1, True)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux0(x0, EQ)
new_esEs26(x0, x1, ty_Integer)
new_esEs13(GT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_asAs(False, x0)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, ty_Bool)
new_lt9(x0, x1, x2)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_esEs25(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Float)
new_esEs15(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare18(x0, x1)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs12(:%(x0, x1), :%(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_fsEs(x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs30(x0, x1, ty_Integer)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Nothing, Just(x0), x1)
new_ltEs18(Just(x0), Just(x1), ty_Double)
new_esEs25(x0, x1, ty_Char)
new_ltEs10(x0, x1, x2)
new_lt4(x0, x1)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(@0, @0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_pePe(True, x0)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs29(x0, x1, ty_Bool)
new_lt10(x0, x1, x2)
new_esEs19(x0, x1, ty_Int)
new_ltEs7(True, True)
new_esEs30(x0, x1, ty_Ordering)
new_esEs15([], :(x0, x1), x2)
new_lt20(x0, x1, ty_Char)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, ty_Integer)
new_ltEs18(Just(x0), Just(x1), ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_compare17(x0, x1, ty_Ordering)
new_compare11(Integer(x0), Integer(x1))
new_lt20(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare5(Char(x0), Char(x1))
new_ltEs7(True, False)
new_ltEs7(False, True)
new_compare17(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1)
new_compare9(x0, x1)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs29(x0, x1, ty_@0)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Double)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_primEqNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_esEs27(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(True, True)
new_compare17(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, ty_Integer)
new_compare25(Just(x0), Nothing, False, x1)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_compare10(x0, x1, False)
new_compare28(@0, @0)
new_primPlusNat1(Succ(x0), Zero)
new_esEs24(x0, x1, ty_Char)
new_lt16(x0, x1)
new_esEs14(Char(x0), Char(x1))
new_ltEs18(Nothing, Just(x0), x1)
new_esEs23(x0, x1, ty_Double)
new_primMulNat0(Zero, Zero)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs15(:(x0, x1), [], x2)
new_ltEs18(Just(x0), Just(x1), ty_Char)
new_lt6(x0, x1, ty_Float)
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_ltEs19(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Int)
new_lt5(x0, x1, ty_Int)
new_ltEs18(Nothing, Nothing, x0)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, ty_Integer)
new_lt6(x0, x1, ty_@0)
new_esEs19(x0, x1, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs4(GT, GT)
new_lt11(x0, x1)
new_esEs18(x0, x1, ty_Float)
new_compare6(x0, x1)
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs22(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs16(x0, x1)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(EQ, EQ)
new_ltEs13(x0, x1)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs24(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Float)
new_lt5(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_ltEs18(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Bool)
new_esEs19(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_@0)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_ltEs6(x0, x1, ty_Ordering)
new_primPlusNat0(x0, x1)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_esEs19(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt6(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare10(x0, x1, True)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(Double(x0, x1), Double(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_compare26(x0, x1, True, x2, x3)
new_primPlusNat1(Zero, Zero)
new_ltEs12(x0, x1)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_compare24(x0, x1, True)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primCompAux0(x0, GT)
new_compare211(x0, x1, False)
new_esEs16(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, ty_Float)
new_ltEs4(EQ, EQ)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_@0)
new_ltEs18(Just(x0), Just(x1), ty_Ordering)
new_compare0(:(x0, x1), [], x2)
new_esEs24(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare26(x0, x1, False, x2, x3)
new_ltEs18(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare17(x0, x1, app(ty_Maybe, x2))
new_ltEs4(LT, EQ)
new_ltEs4(EQ, LT)
new_esEs26(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_esEs28(x0, x1, ty_Integer)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs8(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_lt12(x0, x1, x2, x3, x4)
new_lt13(x0, x1)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(Just(x0), Just(x1), ty_Float)
new_esEs28(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs30(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare25(x0, x1, True, x2)
new_lt5(x0, x1, ty_Double)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt14(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare111(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt5(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_@0)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs30(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare17(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Bool)
new_ltEs9(x0, x1, x2)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs4(LT, LT)
new_compare17(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Bool)
new_lt7(x0, x1)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Double)
new_lt19(x0, x1, x2)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_@0)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Int)
new_esEs15([], [], x0)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat0(Zero, Zero)
new_esEs25(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs25(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_compare29(x0, x1, False, x2, x3)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs24(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_compare111(x0, x1, True, x2)
new_lt5(x0, x1, ty_Char)
new_lt6(x0, x1, ty_Int)
new_ltEs18(Just(x0), Nothing, x1)
new_ltEs6(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs9(False, False)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, ty_Double)
new_lt6(x0, x1, ty_Ordering)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Zero, Succ(x0))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs18(x0, x1, ty_@0)
new_esEs13(LT, LT)
new_compare12(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_@0)
new_compare112(x0, x1, True)
new_esEs27(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Float)
new_compare210(x0, x1, True, x2, x3, x4)
new_esEs23(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_compare112(x0, x1, False)
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_ltEs18(Just(x0), Just(x1), ty_Bool)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_ltEs4(EQ, GT)
new_ltEs4(GT, EQ)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_not(True)
new_primMulNat0(Zero, Succ(x0))
new_compare8(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, ty_Char)
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_compare29(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare17(x0, x1, ty_Integer)
new_lt6(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Float)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpNat0(Succ(x0), Zero)
new_not(False)
new_lt5(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_@0)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs18(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_compare25(Nothing, Nothing, False, x0)
new_compare14(Float(x0, x1), Float(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs18(Just(x0), Just(x1), app(ty_[], x2))
new_compare24(x0, x1, False)
new_ltEs11(x0, x1)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_compare25(Just(x0), Just(x1), False, x2)
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare17(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_primCompAux0(x0, LT)
new_esEs9(True, False)
new_esEs9(False, True)
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs18(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Double)
new_esEs19(x0, x1, ty_Float)
new_compare27(x0, x1, x2, x3)
new_compare0([], [], x0)
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Ordering)
new_ltEs18(Just(x0), Just(x1), ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_Int)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_lt18(x0, x1, x2, x3)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Nothing, x1)
new_ltEs19(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare110(x0, x1, False, x2, x3, x4)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), ty_Integer)
new_compare25(Nothing, Just(x0), False, x1)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs6(x0, x1, ty_Float)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs7(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare16(x0, x1, False, x2, x3)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_compare0([], :(x0, x1), x2)
new_ltEs4(GT, LT)
new_ltEs4(LT, GT)
new_ltEs17(@2(x0, x1), @2(x2, x3), x4, x5)
new_sr0(Integer(x0), Integer(x1))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_ltEs18(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Pos(x0), Pos(x1))
new_lt5(x0, x1, ty_Bool)
new_compare13(x0, x1, False, x2, x3)
new_ltEs20(x0, x1, ty_Float)
new_compare19(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Integer)
new_asAs(True, x0)
new_esEs18(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Char)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Double)
new_ltEs7(False, False)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))

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_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Char)
new_sr(x0, x1)
new_esEs19(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Zero)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare17(x0, x1, app(ty_[], x2))
new_lt17(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_pePe(False, x0)
new_primEqNat0(Zero, Succ(x0))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_compare211(x0, x1, True)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux0(x0, EQ)
new_esEs26(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_asAs(False, x0)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, ty_Bool)
new_lt9(x0, x1, x2)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_esEs25(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Float)
new_esEs15(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare18(x0, x1)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs12(:%(x0, x1), :%(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_fsEs(x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs30(x0, x1, ty_Integer)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Nothing, Just(x0), x1)
new_ltEs18(Just(x0), Just(x1), ty_Double)
new_esEs25(x0, x1, ty_Char)
new_ltEs10(x0, x1, x2)
new_lt4(x0, x1)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(@0, @0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_pePe(True, x0)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs29(x0, x1, ty_Bool)
new_lt10(x0, x1, x2)
new_esEs19(x0, x1, ty_Int)
new_ltEs7(True, True)
new_esEs30(x0, x1, ty_Ordering)
new_esEs15([], :(x0, x1), x2)
new_lt20(x0, x1, ty_Char)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, ty_Integer)
new_ltEs18(Just(x0), Just(x1), ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_compare17(x0, x1, ty_Ordering)
new_compare11(Integer(x0), Integer(x1))
new_lt20(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare5(Char(x0), Char(x1))
new_ltEs7(True, False)
new_ltEs7(False, True)
new_compare17(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1)
new_compare9(x0, x1)
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs29(x0, x1, ty_@0)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Double)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_primEqNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_esEs27(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(True, True)
new_compare17(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare10(x0, x1, False)
new_compare28(@0, @0)
new_primPlusNat1(Succ(x0), Zero)
new_esEs24(x0, x1, ty_Char)
new_lt16(x0, x1)
new_esEs14(Char(x0), Char(x1))
new_ltEs18(Nothing, Just(x0), x1)
new_esEs23(x0, x1, ty_Double)
new_primMulNat0(Zero, Zero)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs15(:(x0, x1), [], x2)
new_ltEs18(Just(x0), Just(x1), ty_Char)
new_lt6(x0, x1, ty_Float)
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_ltEs19(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Int)
new_lt5(x0, x1, ty_Int)
new_ltEs18(Nothing, Nothing, x0)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, ty_Integer)
new_lt6(x0, x1, ty_@0)
new_esEs19(x0, x1, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs4(GT, GT)
new_lt11(x0, x1)
new_esEs18(x0, x1, ty_Float)
new_compare6(x0, x1)
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs22(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs16(x0, x1)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(x0, x1)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs24(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Float)
new_lt5(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_ltEs18(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Bool)
new_esEs19(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_@0)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_ltEs6(x0, x1, ty_Ordering)
new_primPlusNat0(x0, x1)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_esEs19(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt6(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare10(x0, x1, True)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(Double(x0, x1), Double(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_compare26(x0, x1, True, x2, x3)
new_primPlusNat1(Zero, Zero)
new_ltEs12(x0, x1)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_compare24(x0, x1, True)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primCompAux0(x0, GT)
new_compare211(x0, x1, False)
new_esEs16(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, ty_Float)
new_ltEs4(EQ, EQ)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_@0)
new_ltEs18(Just(x0), Just(x1), ty_Ordering)
new_compare0(:(x0, x1), [], x2)
new_esEs24(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare26(x0, x1, False, x2, x3)
new_ltEs18(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare17(x0, x1, app(ty_Maybe, x2))
new_ltEs4(LT, EQ)
new_ltEs4(EQ, LT)
new_esEs26(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_esEs28(x0, x1, ty_Integer)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs8(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_lt12(x0, x1, x2, x3, x4)
new_lt13(x0, x1)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(Just(x0), Just(x1), ty_Float)
new_esEs28(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs30(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_lt5(x0, x1, ty_Double)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt14(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare111(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt5(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_@0)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs30(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare17(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Bool)
new_ltEs9(x0, x1, x2)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs4(LT, LT)
new_compare17(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Bool)
new_lt7(x0, x1)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Double)
new_lt19(x0, x1, x2)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_@0)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Int)
new_esEs15([], [], x0)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat0(Zero, Zero)
new_esEs25(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs25(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_compare29(x0, x1, False, x2, x3)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs24(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_compare111(x0, x1, True, x2)
new_lt5(x0, x1, ty_Char)
new_lt6(x0, x1, ty_Int)
new_ltEs18(Just(x0), Nothing, x1)
new_ltEs6(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs9(False, False)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, ty_Double)
new_lt6(x0, x1, ty_Ordering)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Zero, Succ(x0))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs18(x0, x1, ty_@0)
new_compare12(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_@0)
new_compare112(x0, x1, True)
new_esEs27(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Float)
new_compare210(x0, x1, True, x2, x3, x4)
new_esEs23(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_compare112(x0, x1, False)
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_ltEs18(Just(x0), Just(x1), ty_Bool)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_ltEs4(EQ, GT)
new_ltEs4(GT, EQ)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_not(True)
new_primMulNat0(Zero, Succ(x0))
new_compare8(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, ty_Char)
new_compare29(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare17(x0, x1, ty_Integer)
new_lt6(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Float)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpNat0(Succ(x0), Zero)
new_not(False)
new_lt5(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_@0)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs18(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_compare14(Float(x0, x1), Float(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs18(Just(x0), Just(x1), app(ty_[], x2))
new_compare24(x0, x1, False)
new_ltEs11(x0, x1)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare17(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_primCompAux0(x0, LT)
new_esEs9(True, False)
new_esEs9(False, True)
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs18(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Double)
new_esEs19(x0, x1, ty_Float)
new_compare27(x0, x1, x2, x3)
new_compare0([], [], x0)
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Ordering)
new_ltEs18(Just(x0), Just(x1), ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_Int)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_lt18(x0, x1, x2, x3)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Nothing, x1)
new_ltEs19(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare110(x0, x1, False, x2, x3, x4)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), ty_Integer)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs6(x0, x1, ty_Float)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs7(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare16(x0, x1, False, x2, x3)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_compare0([], :(x0, x1), x2)
new_ltEs4(GT, LT)
new_ltEs4(LT, GT)
new_ltEs17(@2(x0, x1), @2(x2, x3), x4, x5)
new_sr0(Integer(x0), Integer(x1))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_ltEs18(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Pos(x0), Pos(x1))
new_lt5(x0, x1, ty_Bool)
new_compare13(x0, x1, False, x2, x3)
new_ltEs20(x0, x1, ty_Float)
new_compare19(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Integer)
new_asAs(True, x0)
new_esEs18(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Char)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Double)
new_ltEs7(False, False)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, x2))



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

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

new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, False, h, ba) → new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Just(wzz400), False, h), GT), h, ba)
new_addToFM_C(wzz3, Branch(Just(wzz400), wzz41, wzz42, wzz43, wzz44), Nothing, wzz6, h, ba) → new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Just(wzz400), False, h), LT), h, ba)
new_addToFM_C10(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Nothing, wzz6, h, ba)
new_addToFM_C2(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz43, Nothing, wzz6, h, ba)
new_addToFM_C1(wzz3, wzz41, wzz42, wzz43, wzz44, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Nothing, wzz6, h, ba)
new_addToFM_C(wzz3, Branch(Nothing, wzz41, wzz42, wzz43, wzz44), Nothing, wzz6, h, ba) → new_addToFM_C1(wzz3, wzz41, wzz42, wzz43, wzz44, wzz6, new_esEs13(new_compare25(Nothing, Nothing, True, h), GT), h, ba)

The TRS R consists of the following rules:

new_compare25(Nothing, Just(wzz3500), False, chh) → LT
new_esEs13(LT, GT) → False
new_esEs13(GT, GT) → True
new_esEs13(EQ, GT) → False
new_compare25(wzz340, wzz350, True, chh) → EQ
new_esEs13(EQ, LT) → False
new_esEs13(GT, LT) → False
new_esEs13(LT, LT) → True

The set Q consists of the following terms:

new_esEs13(GT, GT)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_compare25(Just(x0), Nothing, False, x1)
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_esEs13(EQ, EQ)
new_compare25(x0, x1, True, x2)
new_esEs13(LT, LT)
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_compare25(Nothing, Nothing, False, x0)
new_compare25(Just(x0), Just(x1), False, x2)
new_compare25(Nothing, Just(x0), False, x1)

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
                                          ↳ QDPSizeChangeProof

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

new_addToFM_C11(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz44, Just(wzz50), wzz6, h, ba)
new_addToFM_C(wzz3, Branch(Just(wzz400), wzz41, wzz42, wzz43, wzz44), Just(wzz50), wzz6, h, ba) → new_addToFM_C21(wzz3, wzz400, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs13(new_compare25(Just(wzz50), Just(wzz400), new_esEs29(wzz50, wzz400, h), h), LT), h, ba)
new_addToFM_C(wzz3, Branch(Nothing, wzz41, wzz42, wzz43, wzz44), Just(wzz50), wzz6, h, ba) → new_addToFM_C20(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs13(new_compare25(Just(wzz50), Nothing, False, h), LT), h, ba)
new_addToFM_C21(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, bb, bc) → new_addToFM_C(wzz17, wzz21, Just(wzz23), wzz24, bb, bc)
new_addToFM_C21(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, False, bb, bc) → new_addToFM_C12(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, new_esEs13(new_compare25(Just(wzz23), Just(wzz18), new_esEs30(wzz23, wzz18, bb), bb), GT), bb, bc)
new_addToFM_C20(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, True, h, ba) → new_addToFM_C(wzz3, wzz43, Just(wzz50), wzz6, h, ba)
new_addToFM_C20(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, False, h, ba) → new_addToFM_C11(wzz3, wzz41, wzz42, wzz43, wzz44, wzz50, wzz6, new_esEs13(new_compare25(Just(wzz50), Nothing, False, h), GT), h, ba)
new_addToFM_C12(wzz17, wzz18, wzz19, wzz20, wzz21, wzz22, wzz23, wzz24, True, bb, bc) → new_addToFM_C(wzz17, wzz22, Just(wzz23), wzz24, bb, bc)

The TRS R consists of the following rules:

new_lt5(wzz34000, wzz35000, ty_Float) → new_lt16(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Bool) → new_ltEs7(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_Maybe, cf)) → new_esEs7(wzz500, wzz4000, cf)
new_esEs26(wzz501, wzz4001, ty_Char) → new_esEs14(wzz501, wzz4001)
new_ltEs20(wzz34001, wzz35001, app(ty_Maybe, dcg)) → new_ltEs18(wzz34001, wzz35001, dcg)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_[], ce)) → new_esEs15(wzz500, wzz4000, ce)
new_esEs30(wzz23, wzz18, app(ty_Ratio, dde)) → new_esEs12(wzz23, wzz18, dde)
new_ltEs6(wzz34002, wzz35002, app(app(ty_@2, gg), gh)) → new_ltEs17(wzz34002, wzz35002, gg, gh)
new_esEs24(wzz502, wzz4002, app(app(ty_Either, bhb), bhc)) → new_esEs5(wzz502, wzz4002, bhb, bhc)
new_lt20(wzz34000, wzz35000, app(app(app(ty_@3, daf), dag), dah)) → new_lt12(wzz34000, wzz35000, daf, dag, dah)
new_ltEs4(EQ, GT) → True
new_esEs18(wzz34000, wzz35000, app(app(ty_@2, ec), ed)) → new_esEs6(wzz34000, wzz35000, ec, ed)
new_ltEs17(@2(wzz34000, wzz34001), @2(wzz35000, wzz35001), dab, dac) → new_pePe(new_lt20(wzz34000, wzz35000, dab), new_asAs(new_esEs28(wzz34000, wzz35000, dab), new_ltEs20(wzz34001, wzz35001, dac)))
new_esEs28(wzz34000, wzz35000, app(ty_[], dad)) → new_esEs15(wzz34000, wzz35000, dad)
new_lt7(wzz34000, wzz35000) → new_esEs13(new_compare18(wzz34000, wzz35000), LT)
new_ltEs19(wzz3400, wzz3500, app(ty_[], bdd)) → new_ltEs9(wzz3400, wzz3500, bdd)
new_esEs18(wzz34000, wzz35000, ty_Integer) → new_esEs16(wzz34000, wzz35000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(app(ty_Either, bfh), bga)) → new_esEs5(wzz501, wzz4001, bfh, bga)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_Maybe, bad)) → new_ltEs18(wzz34000, wzz35000, bad)
new_compare19(wzz34000, wzz35000, df, dg, dh) → new_compare210(wzz34000, wzz35000, new_esEs4(wzz34000, wzz35000, df, dg, dh), df, dg, dh)
new_esEs27(wzz500, wzz4000, app(ty_Maybe, chf)) → new_esEs7(wzz500, wzz4000, chf)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Ordering) → new_ltEs4(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Bool) → new_ltEs7(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(app(ty_@2, cae), caf)) → new_compare12(wzz34000, wzz35000, cae, caf)
new_esEs23(wzz501, wzz4001, ty_Float) → new_esEs17(wzz501, wzz4001)
new_lt5(wzz34000, wzz35000, app(ty_Ratio, de)) → new_lt10(wzz34000, wzz35000, de)
new_esEs18(wzz34000, wzz35000, app(ty_Ratio, de)) → new_esEs12(wzz34000, wzz35000, de)
new_esEs26(wzz501, wzz4001, ty_Float) → new_esEs17(wzz501, wzz4001)
new_esEs18(wzz34000, wzz35000, ty_Double) → new_esEs11(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Double) → new_ltEs13(wzz34002, wzz35002)
new_primMulNat0(Zero, Zero) → Zero
new_lt6(wzz34001, wzz35001, ty_Bool) → new_lt4(wzz34001, wzz35001)
new_compare18(wzz34000, wzz35000) → new_compare24(wzz34000, wzz35000, new_esEs13(wzz34000, wzz35000))
new_esEs27(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, app(app(app(ty_@3, cge), cgf), cgg)) → new_esEs4(wzz500, wzz4000, cge, cgf, cgg)
new_esEs19(wzz34001, wzz35001, app(ty_Ratio, ef)) → new_esEs12(wzz34001, wzz35001, ef)
new_ltEs6(wzz34002, wzz35002, app(app(ty_Either, ge), gf)) → new_ltEs14(wzz34002, wzz35002, ge, gf)
new_lt20(wzz34000, wzz35000, ty_Int) → new_lt11(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, app(app(app(ty_@3, gb), gc), gd)) → new_ltEs5(wzz34002, wzz35002, gb, gc, gd)
new_compare25(wzz340, wzz350, True, chh) → EQ
new_esEs27(wzz500, wzz4000, app(ty_[], che)) → new_esEs15(wzz500, wzz4000, che)
new_esEs19(wzz34001, wzz35001, ty_Int) → new_esEs10(wzz34001, wzz35001)
new_esEs23(wzz501, wzz4001, ty_Double) → new_esEs11(wzz501, wzz4001)
new_esEs13(EQ, EQ) → True
new_ltEs7(True, True) → True
new_esEs30(wzz23, wzz18, ty_Int) → new_esEs10(wzz23, wzz18)
new_ltEs20(wzz34001, wzz35001, ty_Int) → new_ltEs11(wzz34001, wzz35001)
new_esEs29(wzz50, wzz400, app(ty_Maybe, bd)) → new_esEs7(wzz50, wzz400, bd)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Int) → new_ltEs11(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, ty_Double) → new_compare8(wzz34000, wzz35000)
new_lt20(wzz34000, wzz35000, ty_Double) → new_lt14(wzz34000, wzz35000)
new_lt13(wzz34000, wzz35000) → new_esEs13(new_compare11(wzz34000, wzz35000), LT)
new_lt12(wzz34000, wzz35000, df, dg, dh) → new_esEs13(new_compare19(wzz34000, wzz35000, df, dg, dh), LT)
new_esEs23(wzz501, wzz4001, ty_Bool) → new_esEs9(wzz501, wzz4001)
new_compare5(Char(wzz34000), Char(wzz35000)) → new_primCmpNat0(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Char, bba) → new_esEs14(wzz500, wzz4000)
new_ltEs20(wzz34001, wzz35001, app(ty_[], dbf)) → new_ltEs9(wzz34001, wzz35001, dbf)
new_ltEs20(wzz34001, wzz35001, app(app(ty_@2, dce), dcf)) → new_ltEs17(wzz34001, wzz35001, dce, dcf)
new_ltEs6(wzz34002, wzz35002, app(ty_Maybe, ha)) → new_ltEs18(wzz34002, wzz35002, ha)
new_lt6(wzz34001, wzz35001, app(ty_Ratio, ef)) → new_lt10(wzz34001, wzz35001, ef)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(ty_@2, bh), ca)) → new_esEs6(wzz500, wzz4000, bh, ca)
new_esEs18(wzz34000, wzz35000, ty_Ordering) → new_esEs13(wzz34000, wzz35000)
new_esEs30(wzz23, wzz18, ty_Bool) → new_esEs9(wzz23, wzz18)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(app(ty_@3, baf), bag), bah), bba) → new_esEs4(wzz500, wzz4000, baf, bag, bah)
new_ltEs6(wzz34002, wzz35002, app(ty_Ratio, ga)) → new_ltEs10(wzz34002, wzz35002, ga)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_Ratio, bbd), bba) → new_esEs12(wzz500, wzz4000, bbd)
new_esEs29(wzz50, wzz400, ty_Bool) → new_esEs9(wzz50, wzz400)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Char) → new_esEs14(wzz23, wzz18)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(app(ty_@3, cea), ceb), cec), cdf) → new_ltEs5(wzz34000, wzz35000, cea, ceb, cec)
new_esEs18(wzz34000, wzz35000, app(app(app(ty_@3, df), dg), dh)) → new_esEs4(wzz34000, wzz35000, df, dg, dh)
new_esEs28(wzz34000, wzz35000, ty_Bool) → new_esEs9(wzz34000, wzz35000)
new_esEs23(wzz501, wzz4001, ty_@0) → new_esEs8(wzz501, wzz4001)
new_esEs19(wzz34001, wzz35001, app(app(ty_Either, fb), fc)) → new_esEs5(wzz34001, wzz35001, fb, fc)
new_ltEs6(wzz34002, wzz35002, ty_@0) → new_ltEs16(wzz34002, wzz35002)
new_ltEs7(True, False) → False
new_lt20(wzz34000, wzz35000, ty_Bool) → new_lt4(wzz34000, wzz35000)
new_pePe(False, wzz185) → wzz185
new_esEs7(Just(wzz500), Just(wzz4000), ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs13(LT, EQ) → False
new_esEs13(EQ, LT) → False
new_esEs12(:%(wzz500, wzz501), :%(wzz4000, wzz4001), bae) → new_asAs(new_esEs20(wzz500, wzz4000, bae), new_esEs21(wzz501, wzz4001, bae))
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(ty_@2, cga), cgb)) → new_ltEs17(wzz34000, wzz35000, cga, cgb)
new_ltEs7(False, True) → True
new_esEs22(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_lt5(wzz34000, wzz35000, ty_@0) → new_lt17(wzz34000, wzz35000)
new_esEs11(Double(wzz500, wzz501), Double(wzz4000, wzz4001)) → new_esEs10(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs27(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_ltEs6(wzz34002, wzz35002, ty_Float) → new_ltEs15(wzz34002, wzz35002)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs24(wzz502, wzz4002, app(ty_Maybe, bhe)) → new_esEs7(wzz502, wzz4002, bhe)
new_esEs28(wzz34000, wzz35000, app(app(app(ty_@3, daf), dag), dah)) → new_esEs4(wzz34000, wzz35000, daf, dag, dah)
new_esEs23(wzz501, wzz4001, app(ty_Maybe, bgc)) → new_esEs7(wzz501, wzz4001, bgc)
new_esEs24(wzz502, wzz4002, ty_Double) → new_esEs11(wzz502, wzz4002)
new_compare9(wzz34, wzz35) → new_primCmpInt(wzz34, wzz35)
new_esEs4(@3(wzz500, wzz501, wzz502), @3(wzz4000, wzz4001, wzz4002), bde, bdf, bdg) → new_asAs(new_esEs22(wzz500, wzz4000, bde), new_asAs(new_esEs23(wzz501, wzz4001, bdf), new_esEs24(wzz502, wzz4002, bdg)))
new_compare27(wzz34000, wzz35000, ea, eb) → new_compare29(wzz34000, wzz35000, new_esEs5(wzz34000, wzz35000, ea, eb), ea, eb)
new_esEs30(wzz23, wzz18, ty_Integer) → new_esEs16(wzz23, wzz18)
new_lt5(wzz34000, wzz35000, app(ty_Maybe, cg)) → new_lt19(wzz34000, wzz35000, cg)
new_compare13(wzz34000, wzz35000, False, ea, eb) → GT
new_ltEs20(wzz34001, wzz35001, ty_Integer) → new_ltEs12(wzz34001, wzz35001)
new_esEs30(wzz23, wzz18, ty_@0) → new_esEs8(wzz23, wzz18)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(ty_@2, bbb), bbc), bba) → new_esEs6(wzz500, wzz4000, bbb, bbc)
new_esEs22(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Double, bba) → new_esEs11(wzz500, wzz4000)
new_compare17(wzz34000, wzz35000, ty_Char) → new_compare5(wzz34000, wzz35000)
new_primCmpNat0(Zero, Succ(wzz3500)) → LT
new_lt17(wzz34000, wzz35000) → new_esEs13(new_compare28(wzz34000, wzz35000), LT)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Float, cdf) → new_ltEs15(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_Ratio, hd)) → new_ltEs10(wzz34000, wzz35000, hd)
new_ltEs19(wzz3400, wzz3500, ty_Float) → new_ltEs15(wzz3400, wzz3500)
new_esEs25(wzz500, wzz4000, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(app(ty_Either, cbh), cca)) → new_esEs5(wzz500, wzz4000, cbh, cca)
new_esEs25(wzz500, wzz4000, app(app(ty_@2, cbe), cbf)) → new_esEs6(wzz500, wzz4000, cbe, cbf)
new_esEs19(wzz34001, wzz35001, ty_Double) → new_esEs11(wzz34001, wzz35001)
new_esEs28(wzz34000, wzz35000, ty_Char) → new_esEs14(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, ty_Float) → new_esEs17(wzz34001, wzz35001)
new_esEs28(wzz34000, wzz35000, ty_@0) → new_esEs8(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_esEs18(wzz34000, wzz35000, app(app(ty_Either, ea), eb)) → new_esEs5(wzz34000, wzz35000, ea, eb)
new_esEs24(wzz502, wzz4002, ty_@0) → new_esEs8(wzz502, wzz4002)
new_esEs19(wzz34001, wzz35001, app(ty_Maybe, fg)) → new_esEs7(wzz34001, wzz35001, fg)
new_esEs28(wzz34000, wzz35000, ty_Integer) → new_esEs16(wzz34000, wzz35000)
new_esEs27(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, ty_Float) → new_esEs17(wzz34000, wzz35000)
new_compare0([], [], bdd) → EQ
new_pePe(True, wzz185) → True
new_esEs24(wzz502, wzz4002, app(app(ty_@2, bgg), bgh)) → new_esEs6(wzz502, wzz4002, bgg, bgh)
new_primEqNat0(Zero, Zero) → True
new_esEs19(wzz34001, wzz35001, ty_Char) → new_esEs14(wzz34001, wzz35001)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(ty_@2, bce), bcf)) → new_esEs6(wzz500, wzz4000, bce, bcf)
new_esEs18(wzz34000, wzz35000, ty_Char) → new_esEs14(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, ty_Ordering) → new_ltEs4(wzz34001, wzz35001)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Ordering, cdf) → new_ltEs4(wzz34000, wzz35000)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Char) → new_ltEs8(wzz34000, wzz35000)
new_compare29(wzz34000, wzz35000, True, ea, eb) → EQ
new_esEs29(wzz50, wzz400, ty_Ordering) → new_esEs13(wzz50, wzz400)
new_esEs13(LT, GT) → False
new_esEs13(GT, LT) → False
new_lt20(wzz34000, wzz35000, app(ty_[], dad)) → new_lt9(wzz34000, wzz35000, dad)
new_esEs15(:(wzz500, wzz501), :(wzz4000, wzz4001), cgd) → new_asAs(new_esEs27(wzz500, wzz4000, cgd), new_esEs15(wzz501, wzz4001, cgd))
new_esEs23(wzz501, wzz4001, ty_Char) → new_esEs14(wzz501, wzz4001)
new_compare25(Just(wzz3400), Just(wzz3500), False, chh) → new_compare111(wzz3400, wzz3500, new_ltEs19(wzz3400, wzz3500, chh), chh)
new_lt5(wzz34000, wzz35000, ty_Char) → new_lt8(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(ty_[], bhf)) → new_compare0(wzz34000, wzz35000, bhf)
new_sr(wzz500, wzz4000) → new_primMulInt(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_[], ccb)) → new_esEs15(wzz500, wzz4000, ccb)
new_esEs24(wzz502, wzz4002, ty_Ordering) → new_esEs13(wzz502, wzz4002)
new_esEs23(wzz501, wzz4001, app(ty_[], bgb)) → new_esEs15(wzz501, wzz4001, bgb)
new_lt5(wzz34000, wzz35000, app(ty_[], dd)) → new_lt9(wzz34000, wzz35000, dd)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_@0, cdf) → new_ltEs16(wzz34000, wzz35000)
new_esEs22(wzz500, wzz4000, app(ty_Ratio, bee)) → new_esEs12(wzz500, wzz4000, bee)
new_compare26(wzz34000, wzz35000, False, ec, ed) → new_compare16(wzz34000, wzz35000, new_ltEs17(wzz34000, wzz35000, ec, ed), ec, ed)
new_esEs30(wzz23, wzz18, app(app(app(ty_@3, dch), dda), ddb)) → new_esEs4(wzz23, wzz18, dch, dda, ddb)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Char) → new_esEs14(wzz500, wzz4000)
new_esEs29(wzz50, wzz400, ty_Double) → new_esEs11(wzz50, wzz400)
new_ltEs10(wzz3400, wzz3500, daa) → new_fsEs(new_compare15(wzz3400, wzz3500, daa))
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Float) → new_ltEs15(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, app(app(app(ty_@3, ccd), cce), ccf)) → new_esEs4(wzz501, wzz4001, ccd, cce, ccf)
new_esEs26(wzz501, wzz4001, ty_Bool) → new_esEs9(wzz501, wzz4001)
new_lt5(wzz34000, wzz35000, ty_Int) → new_lt11(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs5(wzz34001, wzz35001, dbh, dca, dcb)
new_esEs22(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_lt20(wzz34000, wzz35000, app(app(ty_@2, dbc), dbd)) → new_lt18(wzz34000, wzz35000, dbc, dbd)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Integer, bba) → new_esEs16(wzz500, wzz4000)
new_ltEs19(wzz3400, wzz3500, app(app(ty_@2, dab), dac)) → new_ltEs17(wzz3400, wzz3500, dab, dac)
new_compare13(wzz34000, wzz35000, True, ea, eb) → LT
new_lt20(wzz34000, wzz35000, app(ty_Maybe, dbe)) → new_lt19(wzz34000, wzz35000, dbe)
new_compare15(:%(wzz34000, wzz34001), :%(wzz35000, wzz35001), ty_Integer) → new_compare11(new_sr0(wzz34000, wzz35001), new_sr0(wzz35000, wzz34001))
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Char) → new_esEs14(wzz500, wzz4000)
new_primPlusNat1(Succ(wzz29200), Zero) → Succ(wzz29200)
new_primPlusNat1(Zero, Succ(wzz10400)) → Succ(wzz10400)
new_compare25(Just(wzz3400), Nothing, False, chh) → GT
new_esEs30(wzz23, wzz18, ty_Float) → new_esEs17(wzz23, wzz18)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Bool, cdf) → new_ltEs7(wzz34000, wzz35000)
new_esEs29(wzz50, wzz400, app(app(ty_Either, bca), bba)) → new_esEs5(wzz50, wzz400, bca, bba)
new_compare25(Nothing, Nothing, False, chh) → LT
new_ltEs14(Right(wzz34000), Left(wzz35000), cfa, cdf) → False
new_ltEs6(wzz34002, wzz35002, ty_Bool) → new_ltEs7(wzz34002, wzz35002)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(ty_@2, bab), bac)) → new_ltEs17(wzz34000, wzz35000, bab, bac)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs18(wzz34000, wzz35000, ty_Float) → new_esEs17(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_Maybe, bbh), bba) → new_esEs7(wzz500, wzz4000, bbh)
new_ltEs19(wzz3400, wzz3500, ty_Ordering) → new_ltEs4(wzz3400, wzz3500)
new_ltEs11(wzz3400, wzz3500) → new_fsEs(new_compare9(wzz3400, wzz3500))
new_lt20(wzz34000, wzz35000, ty_Ordering) → new_lt7(wzz34000, wzz35000)
new_lt4(wzz34000, wzz35000) → new_esEs13(new_compare6(wzz34000, wzz35000), LT)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Ordering, bba) → new_esEs13(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, app(app(ty_Either, chc), chd)) → new_esEs5(wzz500, wzz4000, chc, chd)
new_primEqInt(Neg(Succ(wzz5000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz40000))) → False
new_primCompAux0(wzz200, GT) → GT
new_lt6(wzz34001, wzz35001, ty_Float) → new_lt16(wzz34001, wzz35001)
new_compare26(wzz34000, wzz35000, True, ec, ed) → EQ
new_compare111(wzz156, wzz157, True, chg) → LT
new_esEs23(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_esEs23(wzz501, wzz4001, app(app(app(ty_@3, bfb), bfc), bfd)) → new_esEs4(wzz501, wzz4001, bfb, bfc, bfd)
new_esEs20(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_lt18(wzz34000, wzz35000, ec, ed) → new_esEs13(new_compare12(wzz34000, wzz35000, ec, ed), LT)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_Ratio, bcg)) → new_esEs12(wzz500, wzz4000, bcg)
new_esEs18(wzz34000, wzz35000, ty_Bool) → new_esEs9(wzz34000, wzz35000)
new_lt11(wzz340, wzz350) → new_esEs13(new_compare9(wzz340, wzz350), LT)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs4(EQ, LT) → False
new_compare17(wzz34000, wzz35000, app(app(ty_Either, cac), cad)) → new_compare27(wzz34000, wzz35000, cac, cad)
new_lt20(wzz34000, wzz35000, ty_Char) → new_lt8(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, ty_Bool) → new_esEs9(wzz34001, wzz35001)
new_primCmpNat0(Succ(wzz3400), Succ(wzz3500)) → new_primCmpNat0(wzz3400, wzz3500)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Double, cdf) → new_ltEs13(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Double) → new_esEs11(wzz501, wzz4001)
new_lt20(wzz34000, wzz35000, ty_Integer) → new_lt13(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_compare112(wzz34000, wzz35000, True) → LT
new_esEs13(LT, LT) → True
new_primEqInt(Pos(Succ(wzz5000)), Pos(Succ(wzz40000))) → new_primEqNat0(wzz5000, wzz40000)
new_esEs18(wzz34000, wzz35000, ty_Int) → new_esEs10(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Double) → new_ltEs13(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_@0, bba) → new_esEs8(wzz500, wzz4000)
new_esEs20(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(ty_Either, bch), bda)) → new_esEs5(wzz500, wzz4000, bch, bda)
new_ltEs20(wzz34001, wzz35001, ty_@0) → new_ltEs16(wzz34001, wzz35001)
new_ltEs19(wzz3400, wzz3500, app(ty_Ratio, daa)) → new_ltEs10(wzz3400, wzz3500, daa)
new_primEqNat0(Succ(wzz5000), Succ(wzz40000)) → new_primEqNat0(wzz5000, wzz40000)
new_lt15(wzz34000, wzz35000, ea, eb) → new_esEs13(new_compare27(wzz34000, wzz35000, ea, eb), LT)
new_esEs19(wzz34001, wzz35001, app(app(ty_@2, fd), ff)) → new_esEs6(wzz34001, wzz35001, fd, ff)
new_compare14(Float(wzz34000, wzz34001), Float(wzz35000, wzz35001)) → new_compare9(new_sr(wzz34000, wzz35000), new_sr(wzz34001, wzz35001))
new_lt6(wzz34001, wzz35001, app(ty_Maybe, fg)) → new_lt19(wzz34001, wzz35001, fg)
new_esEs29(wzz50, wzz400, ty_Int) → new_esEs10(wzz50, wzz400)
new_ltEs4(GT, EQ) → False
new_esEs24(wzz502, wzz4002, app(ty_Ratio, bha)) → new_esEs12(wzz502, wzz4002, bha)
new_esEs26(wzz501, wzz4001, ty_@0) → new_esEs8(wzz501, wzz4001)
new_primCmpInt(Neg(Succ(wzz3400)), Neg(wzz350)) → new_primCmpNat0(wzz350, Succ(wzz3400))
new_compare16(wzz34000, wzz35000, True, ec, ed) → LT
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_@0) → new_ltEs16(wzz34000, wzz35000)
new_esEs28(wzz34000, wzz35000, ty_Double) → new_esEs11(wzz34000, wzz35000)
new_compare6(wzz34000, wzz35000) → new_compare211(wzz34000, wzz35000, new_esEs9(wzz34000, wzz35000))
new_esEs7(Nothing, Nothing, bd) → True
new_esEs15([], [], cgd) → True
new_compare15(:%(wzz34000, wzz34001), :%(wzz35000, wzz35001), ty_Int) → new_compare9(new_sr(wzz34000, wzz35001), new_sr(wzz35000, wzz34001))
new_esEs18(wzz34000, wzz35000, app(ty_Maybe, cg)) → new_esEs7(wzz34000, wzz35000, cg)
new_compare24(wzz34000, wzz35000, False) → new_compare10(wzz34000, wzz35000, new_ltEs4(wzz34000, wzz35000))
new_primEqInt(Pos(Succ(wzz5000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz40000))) → False
new_ltEs4(EQ, EQ) → True
new_esEs25(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Ordering) → new_esEs13(wzz23, wzz18)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(app(ty_@3, he), hf), hg)) → new_ltEs5(wzz34000, wzz35000, he, hf, hg)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs19(wzz34001, wzz35001, app(ty_[], ee)) → new_esEs15(wzz34001, wzz35001, ee)
new_esEs23(wzz501, wzz4001, ty_Ordering) → new_esEs13(wzz501, wzz4001)
new_ltEs18(Nothing, Nothing, hb) → True
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Bool) → new_esEs9(wzz500, wzz4000)
new_primCmpNat0(Succ(wzz3400), Zero) → GT
new_lt5(wzz34000, wzz35000, app(app(ty_Either, ea), eb)) → new_lt15(wzz34000, wzz35000, ea, eb)
new_ltEs13(wzz3400, wzz3500) → new_fsEs(new_compare8(wzz3400, wzz3500))
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Char, cdf) → new_ltEs8(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(ty_Either, cc), cd)) → new_esEs5(wzz500, wzz4000, cc, cd)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz3500))) → LT
new_esEs29(wzz50, wzz400, app(app(app(ty_@3, bde), bdf), bdg)) → new_esEs4(wzz50, wzz400, bde, bdf, bdg)
new_compare210(wzz34000, wzz35000, True, df, dg, dh) → EQ
new_ltEs4(GT, LT) → False
new_esEs22(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_sr0(Integer(wzz340000), Integer(wzz350010)) → Integer(new_primMulInt(wzz340000, wzz350010))
new_lt6(wzz34001, wzz35001, app(app(ty_Either, fb), fc)) → new_lt15(wzz34001, wzz35001, fb, fc)
new_esEs7(Just(wzz500), Just(wzz4000), app(app(app(ty_@3, be), bf), bg)) → new_esEs4(wzz500, wzz4000, be, bf, bg)
new_primPlusNat1(Succ(wzz29200), Succ(wzz10400)) → Succ(Succ(new_primPlusNat1(wzz29200, wzz10400)))
new_primEqInt(Pos(Succ(wzz5000)), Neg(wzz4000)) → False
new_primEqInt(Neg(Succ(wzz5000)), Pos(wzz4000)) → False
new_esEs25(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, app(app(ty_Either, dba), dbb)) → new_esEs5(wzz34000, wzz35000, dba, dbb)
new_esEs7(Nothing, Just(wzz4000), bd) → False
new_esEs7(Just(wzz500), Nothing, bd) → False
new_lt6(wzz34001, wzz35001, ty_Ordering) → new_lt7(wzz34001, wzz35001)
new_compare29(wzz34000, wzz35000, False, ea, eb) → new_compare13(wzz34000, wzz35000, new_ltEs14(wzz34000, wzz35000, ea, eb), ea, eb)
new_esEs25(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs23(wzz501, wzz4001, app(ty_Ratio, bfg)) → new_esEs12(wzz501, wzz4001, bfg)
new_ltEs20(wzz34001, wzz35001, ty_Float) → new_ltEs15(wzz34001, wzz35001)
new_esEs22(wzz500, wzz4000, app(app(ty_@2, bec), bed)) → new_esEs6(wzz500, wzz4000, bec, bed)
new_esEs18(wzz34000, wzz35000, ty_@0) → new_esEs8(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_primEqInt(Pos(Zero), Neg(Succ(wzz40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz40000))) → False
new_primCmpInt(Pos(Zero), Pos(Succ(wzz3500))) → new_primCmpNat0(Zero, Succ(wzz3500))
new_compare24(wzz34000, wzz35000, True) → EQ
new_esEs22(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_lt6(wzz34001, wzz35001, app(ty_[], ee)) → new_lt9(wzz34001, wzz35001, ee)
new_compare25(Nothing, Just(wzz3500), False, chh) → LT
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Float) → new_ltEs15(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Integer) → new_ltEs12(wzz34002, wzz35002)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_lt6(wzz34001, wzz35001, ty_Integer) → new_lt13(wzz34001, wzz35001)
new_esEs19(wzz34001, wzz35001, ty_Ordering) → new_esEs13(wzz34001, wzz35001)
new_esEs5(Left(wzz500), Left(wzz4000), app(ty_[], bbg), bba) → new_esEs15(wzz500, wzz4000, bbg)
new_ltEs5(@3(wzz34000, wzz34001, wzz34002), @3(wzz35000, wzz35001, wzz35002), da, db, dc) → new_pePe(new_lt5(wzz34000, wzz35000, da), new_asAs(new_esEs18(wzz34000, wzz35000, da), new_pePe(new_lt6(wzz34001, wzz35001, db), new_asAs(new_esEs19(wzz34001, wzz35001, db), new_ltEs6(wzz34002, wzz35002, dc)))))
new_compare17(wzz34000, wzz35000, app(ty_Maybe, cag)) → new_compare7(wzz34000, wzz35000, cag)
new_primCompAux0(wzz200, LT) → LT
new_ltEs19(wzz3400, wzz3500, ty_Char) → new_ltEs8(wzz3400, wzz3500)
new_ltEs6(wzz34002, wzz35002, ty_Ordering) → new_ltEs4(wzz34002, wzz35002)
new_not(False) → True
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_Maybe, cgc)) → new_ltEs18(wzz34000, wzz35000, cgc)
new_esEs7(Just(wzz500), Just(wzz4000), ty_Integer) → new_esEs16(wzz500, wzz4000)
new_ltEs20(wzz34001, wzz35001, app(ty_Ratio, dbg)) → new_ltEs10(wzz34001, wzz35001, dbg)
new_ltEs18(Just(wzz34000), Nothing, hb) → False
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_@0) → new_ltEs16(wzz34000, wzz35000)
new_lt14(wzz34000, wzz35000) → new_esEs13(new_compare8(wzz34000, wzz35000), LT)
new_primCmpInt(Pos(Succ(wzz3400)), Pos(wzz350)) → new_primCmpNat0(Succ(wzz3400), wzz350)
new_esEs23(wzz501, wzz4001, app(app(ty_@2, bfe), bff)) → new_esEs6(wzz501, wzz4001, bfe, bff)
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Int) → new_ltEs11(wzz34000, wzz35000)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Float, bba) → new_esEs17(wzz500, wzz4000)
new_ltEs16(wzz3400, wzz3500) → new_fsEs(new_compare28(wzz3400, wzz3500))
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Double) → new_ltEs13(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, app(app(app(ty_@3, cbb), cbc), cbd)) → new_esEs4(wzz500, wzz4000, cbb, cbc, cbd)
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_[], bdb)) → new_esEs15(wzz500, wzz4000, bdb)
new_compare0(:(wzz34000, wzz34001), [], bdd) → GT
new_esEs24(wzz502, wzz4002, ty_Float) → new_esEs17(wzz502, wzz4002)
new_lt6(wzz34001, wzz35001, ty_Char) → new_lt8(wzz34001, wzz35001)
new_esEs8(@0, @0) → True
new_esEs22(wzz500, wzz4000, app(app(app(ty_@3, bdh), bea), beb)) → new_esEs4(wzz500, wzz4000, bdh, bea, beb)
new_esEs26(wzz501, wzz4001, app(app(ty_Either, cdb), cdc)) → new_esEs5(wzz501, wzz4001, cdb, cdc)
new_esEs9(True, True) → True
new_lt6(wzz34001, wzz35001, ty_@0) → new_lt17(wzz34001, wzz35001)
new_compare17(wzz34000, wzz35000, ty_Ordering) → new_compare18(wzz34000, wzz35000)
new_esEs19(wzz34001, wzz35001, app(app(app(ty_@3, eg), eh), fa)) → new_esEs4(wzz34001, wzz35001, eg, eh, fa)
new_ltEs19(wzz3400, wzz3500, ty_Integer) → new_ltEs12(wzz3400, wzz3500)
new_primCmpInt(Pos(Succ(wzz3400)), Neg(wzz350)) → GT
new_esEs21(wzz501, wzz4001, ty_Integer) → new_esEs16(wzz501, wzz4001)
new_esEs28(wzz34000, wzz35000, app(ty_Maybe, dbe)) → new_esEs7(wzz34000, wzz35000, dbe)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_[], cdg), cdf) → new_ltEs9(wzz34000, wzz35000, cdg)
new_primMulInt(Pos(wzz5000), Pos(wzz40000)) → Pos(new_primMulNat0(wzz5000, wzz40000))
new_compare17(wzz34000, wzz35000, ty_@0) → new_compare28(wzz34000, wzz35000)
new_esEs24(wzz502, wzz4002, ty_Integer) → new_esEs16(wzz502, wzz4002)
new_compare7(wzz34000, wzz35000, cg) → new_compare25(wzz34000, wzz35000, new_esEs7(wzz34000, wzz35000, cg), cg)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(app(app(ty_@3, bcb), bcc), bcd)) → new_esEs4(wzz500, wzz4000, bcb, bcc, bcd)
new_esEs22(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_lt16(wzz34000, wzz35000) → new_esEs13(new_compare14(wzz34000, wzz35000), LT)
new_esEs5(Left(wzz500), Right(wzz4000), bca, bba) → False
new_esEs5(Right(wzz500), Left(wzz4000), bca, bba) → False
new_esEs27(wzz500, wzz4000, app(app(ty_@2, cgh), cha)) → new_esEs6(wzz500, wzz4000, cgh, cha)
new_primMulInt(Neg(wzz5000), Neg(wzz40000)) → Pos(new_primMulNat0(wzz5000, wzz40000))
new_esEs13(GT, GT) → True
new_esEs29(wzz50, wzz400, app(app(ty_@2, cah), cba)) → new_esEs6(wzz50, wzz400, cah, cba)
new_esEs30(wzz23, wzz18, app(ty_Maybe, dea)) → new_esEs7(wzz23, wzz18, dea)
new_primEqNat0(Zero, Succ(wzz40000)) → False
new_primEqNat0(Succ(wzz5000), Zero) → False
new_esEs22(wzz500, wzz4000, ty_Float) → new_esEs17(wzz500, wzz4000)
new_esEs27(wzz500, wzz4000, ty_Char) → new_esEs14(wzz500, wzz4000)
new_ltEs8(wzz3400, wzz3500) → new_fsEs(new_compare5(wzz3400, wzz3500))
new_lt20(wzz34000, wzz35000, ty_@0) → new_lt17(wzz34000, wzz35000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primPlusNat0(wzz114, wzz400000) → new_primPlusNat1(wzz114, Succ(wzz400000))
new_compare210(wzz34000, wzz35000, False, df, dg, dh) → new_compare110(wzz34000, wzz35000, new_ltEs5(wzz34000, wzz35000, df, dg, dh), df, dg, dh)
new_esEs29(wzz50, wzz400, ty_@0) → new_esEs8(wzz50, wzz400)
new_lt5(wzz34000, wzz35000, ty_Integer) → new_lt13(wzz34000, wzz35000)
new_esEs27(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_compare17(wzz34000, wzz35000, ty_Int) → new_compare9(wzz34000, wzz35000)
new_ltEs4(LT, GT) → True
new_ltEs19(wzz3400, wzz3500, ty_Bool) → new_ltEs7(wzz3400, wzz3500)
new_lt5(wzz34000, wzz35000, ty_Double) → new_lt14(wzz34000, wzz35000)
new_esEs25(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_esEs22(wzz500, wzz4000, app(ty_[], beh)) → new_esEs15(wzz500, wzz4000, beh)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz3500))) → new_primCmpNat0(Succ(wzz3500), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz3500))) → GT
new_esEs5(Right(wzz500), Right(wzz4000), bca, ty_Float) → new_esEs17(wzz500, wzz4000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_Maybe, ceh), cdf) → new_ltEs18(wzz34000, wzz35000, ceh)
new_lt20(wzz34000, wzz35000, ty_Float) → new_lt16(wzz34000, wzz35000)
new_ltEs20(wzz34001, wzz35001, ty_Char) → new_ltEs8(wzz34001, wzz35001)
new_compare0(:(wzz34000, wzz34001), :(wzz35000, wzz35001), bdd) → new_primCompAux1(wzz34000, wzz35000, new_compare0(wzz34001, wzz35001, bdd), bdd)
new_compare211(wzz34000, wzz35000, False) → new_compare112(wzz34000, wzz35000, new_ltEs7(wzz34000, wzz35000))
new_esEs28(wzz34000, wzz35000, app(ty_Ratio, dae)) → new_esEs12(wzz34000, wzz35000, dae)
new_ltEs19(wzz3400, wzz3500, ty_Int) → new_ltEs11(wzz3400, wzz3500)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(app(ty_Either, hh), baa)) → new_ltEs14(wzz34000, wzz35000, hh, baa)
new_esEs15([], :(wzz4000, wzz4001), cgd) → False
new_esEs15(:(wzz500, wzz501), [], cgd) → False
new_esEs28(wzz34000, wzz35000, app(app(ty_@2, dbc), dbd)) → new_esEs6(wzz34000, wzz35000, dbc, dbd)
new_esEs27(wzz500, wzz4000, app(ty_Ratio, chb)) → new_esEs12(wzz500, wzz4000, chb)
new_esEs16(Integer(wzz500), Integer(wzz4000)) → new_primEqInt(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_Maybe, ccc)) → new_esEs7(wzz500, wzz4000, ccc)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(app(ty_@3, cfd), cfe), cff)) → new_ltEs5(wzz34000, wzz35000, cfd, cfe, cff)
new_esEs9(True, False) → False
new_esEs9(False, True) → False
new_lt5(wzz34000, wzz35000, ty_Bool) → new_lt4(wzz34000, wzz35000)
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(ty_@2, cef), ceg), cdf) → new_ltEs17(wzz34000, wzz35000, cef, ceg)
new_esEs5(Left(wzz500), Left(wzz4000), ty_Int, bba) → new_esEs10(wzz500, wzz4000)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_ltEs4(LT, EQ) → True
new_primCompAux1(wzz34000, wzz35000, wzz186, bdd) → new_primCompAux0(wzz186, new_compare17(wzz34000, wzz35000, bdd))
new_ltEs14(Left(wzz34000), Right(wzz35000), cfa, cdf) → True
new_ltEs20(wzz34001, wzz35001, ty_Bool) → new_ltEs7(wzz34001, wzz35001)
new_esEs24(wzz502, wzz4002, ty_Int) → new_esEs10(wzz502, wzz4002)
new_asAs(False, wzz159) → False
new_ltEs20(wzz34001, wzz35001, app(app(ty_Either, dcc), dcd)) → new_ltEs14(wzz34001, wzz35001, dcc, dcd)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_Ratio, cfc)) → new_ltEs10(wzz34000, wzz35000, cfc)
new_ltEs19(wzz3400, wzz3500, app(app(ty_Either, cfa), cdf)) → new_ltEs14(wzz3400, wzz3500, cfa, cdf)
new_primMulInt(Pos(wzz5000), Neg(wzz40000)) → Neg(new_primMulNat0(wzz5000, wzz40000))
new_primMulInt(Neg(wzz5000), Pos(wzz40000)) → Neg(new_primMulNat0(wzz5000, wzz40000))
new_primMulNat0(Zero, Succ(wzz400000)) → Zero
new_primMulNat0(Succ(wzz50000), Zero) → Zero
new_fsEs(wzz169) → new_not(new_esEs13(wzz169, GT))
new_esEs13(EQ, GT) → False
new_esEs13(GT, EQ) → False
new_lt6(wzz34001, wzz35001, app(app(ty_@2, fd), ff)) → new_lt18(wzz34001, wzz35001, fd, ff)
new_lt5(wzz34000, wzz35000, ty_Ordering) → new_lt7(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, ty_Bool) → new_compare6(wzz34000, wzz35000)
new_esEs26(wzz501, wzz4001, app(ty_Maybe, cde)) → new_esEs7(wzz501, wzz4001, cde)
new_ltEs18(Nothing, Just(wzz35000), hb) → True
new_compare11(Integer(wzz34000), Integer(wzz35000)) → new_primCmpInt(wzz34000, wzz35000)
new_lt5(wzz34000, wzz35000, app(app(app(ty_@3, df), dg), dh)) → new_lt12(wzz34000, wzz35000, df, dg, dh)
new_compare110(wzz34000, wzz35000, True, df, dg, dh) → LT
new_lt6(wzz34001, wzz35001, ty_Double) → new_lt14(wzz34001, wzz35001)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(app(ty_Either, cfg), cfh)) → new_ltEs14(wzz34000, wzz35000, cfg, cfh)
new_compare17(wzz34000, wzz35000, app(ty_Ratio, bhg)) → new_compare15(wzz34000, wzz35000, bhg)
new_compare17(wzz34000, wzz35000, ty_Float) → new_compare14(wzz34000, wzz35000)
new_esEs7(Just(wzz500), Just(wzz4000), ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs29(wzz50, wzz400, app(ty_Ratio, bae)) → new_esEs12(wzz50, wzz400, bae)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Int, cdf) → new_ltEs11(wzz34000, wzz35000)
new_esEs30(wzz23, wzz18, app(app(ty_Either, ddf), ddg)) → new_esEs5(wzz23, wzz18, ddf, ddg)
new_compare111(wzz156, wzz157, False, chg) → GT
new_ltEs18(Just(wzz34000), Just(wzz35000), ty_Integer) → new_ltEs12(wzz34000, wzz35000)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Char) → new_ltEs8(wzz34000, wzz35000)
new_esEs9(False, False) → True
new_esEs26(wzz501, wzz4001, app(ty_Ratio, cda)) → new_esEs12(wzz501, wzz4001, cda)
new_esEs26(wzz501, wzz4001, app(ty_[], cdd)) → new_esEs15(wzz501, wzz4001, cdd)
new_esEs14(Char(wzz500), Char(wzz4000)) → new_primEqNat0(wzz500, wzz4000)
new_esEs19(wzz34001, wzz35001, ty_Integer) → new_esEs16(wzz34001, wzz35001)
new_ltEs12(wzz3400, wzz3500) → new_fsEs(new_compare11(wzz3400, wzz3500))
new_esEs7(Just(wzz500), Just(wzz4000), ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, ty_Double) → new_esEs11(wzz23, wzz18)
new_ltEs9(wzz3400, wzz3500, bdd) → new_fsEs(new_compare0(wzz3400, wzz3500, bdd))
new_ltEs14(Left(wzz34000), Left(wzz35000), app(app(ty_Either, ced), cee), cdf) → new_ltEs14(wzz34000, wzz35000, ced, cee)
new_ltEs19(wzz3400, wzz3500, app(app(app(ty_@3, da), db), dc)) → new_ltEs5(wzz3400, wzz3500, da, db, dc)
new_ltEs15(wzz3400, wzz3500) → new_fsEs(new_compare14(wzz3400, wzz3500))
new_ltEs4(LT, LT) → True
new_esEs30(wzz23, wzz18, app(app(ty_@2, ddc), ddd)) → new_esEs6(wzz23, wzz18, ddc, ddd)
new_compare8(Double(wzz34000, wzz34001), Double(wzz35000, wzz35001)) → new_compare9(new_sr(wzz34000, wzz35000), new_sr(wzz34001, wzz35001))
new_esEs7(Just(wzz500), Just(wzz4000), ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_compare16(wzz34000, wzz35000, False, ec, ed) → GT
new_lt20(wzz34000, wzz35000, app(app(ty_Either, dba), dbb)) → new_lt15(wzz34000, wzz35000, dba, dbb)
new_ltEs19(wzz3400, wzz3500, ty_Double) → new_ltEs13(wzz3400, wzz3500)
new_esEs5(Left(wzz500), Left(wzz4000), app(app(ty_Either, bbe), bbf), bba) → new_esEs5(wzz500, wzz4000, bbe, bbf)
new_ltEs20(wzz34001, wzz35001, ty_Double) → new_ltEs13(wzz34001, wzz35001)
new_compare112(wzz34000, wzz35000, False) → GT
new_ltEs7(False, False) → True
new_esEs22(wzz500, wzz4000, ty_Integer) → new_esEs16(wzz500, wzz4000)
new_esEs28(wzz34000, wzz35000, ty_Int) → new_esEs10(wzz34000, wzz35000)
new_esEs24(wzz502, wzz4002, ty_Bool) → new_esEs9(wzz502, wzz4002)
new_esEs29(wzz50, wzz400, ty_Integer) → new_esEs16(wzz50, wzz400)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Ordering) → new_ltEs4(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, ty_Int) → new_ltEs11(wzz34002, wzz35002)
new_esEs19(wzz34001, wzz35001, ty_@0) → new_esEs8(wzz34001, wzz35001)
new_lt5(wzz34000, wzz35000, app(app(ty_@2, ec), ed)) → new_lt18(wzz34000, wzz35000, ec, ed)
new_compare0([], :(wzz35000, wzz35001), bdd) → LT
new_lt8(wzz34000, wzz35000) → new_esEs13(new_compare5(wzz34000, wzz35000), LT)
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(Left(wzz34000), Left(wzz35000), app(ty_Ratio, cdh), cdf) → new_ltEs10(wzz34000, wzz35000, cdh)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, ty_Integer) → new_ltEs12(wzz34000, wzz35000)
new_compare17(wzz34000, wzz35000, app(app(app(ty_@3, bhh), caa), cab)) → new_compare19(wzz34000, wzz35000, bhh, caa, cab)
new_asAs(True, wzz159) → wzz159
new_esEs28(wzz34000, wzz35000, ty_Ordering) → new_esEs13(wzz34000, wzz35000)
new_primMulNat0(Succ(wzz50000), Succ(wzz400000)) → new_primPlusNat0(new_primMulNat0(wzz50000, Succ(wzz400000)), wzz400000)
new_esEs27(wzz500, wzz4000, ty_Int) → new_esEs10(wzz500, wzz4000)
new_lt20(wzz34000, wzz35000, app(ty_Ratio, dae)) → new_lt10(wzz34000, wzz35000, dae)
new_compare12(wzz34000, wzz35000, ec, ed) → new_compare26(wzz34000, wzz35000, new_esEs6(wzz34000, wzz35000, ec, ed), ec, ed)
new_esEs23(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_esEs21(wzz501, wzz4001, ty_Int) → new_esEs10(wzz501, wzz4001)
new_ltEs18(Just(wzz34000), Just(wzz35000), app(ty_[], hc)) → new_ltEs9(wzz34000, wzz35000, hc)
new_esEs29(wzz50, wzz400, ty_Char) → new_esEs14(wzz50, wzz400)
new_compare211(wzz34000, wzz35000, True) → EQ
new_esEs27(wzz500, wzz4000, ty_@0) → new_esEs8(wzz500, wzz4000)
new_esEs17(Float(wzz500, wzz501), Float(wzz4000, wzz4001)) → new_esEs10(new_sr(wzz500, wzz4000), new_sr(wzz501, wzz4001))
new_esEs25(wzz500, wzz4000, ty_Ordering) → new_esEs13(wzz500, wzz4000)
new_esEs26(wzz501, wzz4001, app(app(ty_@2, ccg), cch)) → new_esEs6(wzz501, wzz4001, ccg, cch)
new_esEs29(wzz50, wzz400, app(ty_[], cgd)) → new_esEs15(wzz50, wzz400, cgd)
new_lt10(wzz34000, wzz35000, de) → new_esEs13(new_compare15(wzz34000, wzz35000, de), LT)
new_esEs24(wzz502, wzz4002, ty_Char) → new_esEs14(wzz502, wzz4002)
new_esEs29(wzz50, wzz400, ty_Float) → new_esEs17(wzz50, wzz400)
new_lt19(wzz34000, wzz35000, cg) → new_esEs13(new_compare7(wzz34000, wzz35000, cg), LT)
new_ltEs14(Left(wzz34000), Left(wzz35000), ty_Integer, cdf) → new_ltEs12(wzz34000, wzz35000)
new_ltEs6(wzz34002, wzz35002, app(ty_[], fh)) → new_ltEs9(wzz34002, wzz35002, fh)
new_compare10(wzz34000, wzz35000, True) → LT
new_ltEs4(GT, GT) → True
new_esEs5(Left(wzz500), Left(wzz4000), ty_Bool, bba) → new_esEs9(wzz500, wzz4000)
new_esEs30(wzz23, wzz18, app(ty_[], ddh)) → new_esEs15(wzz23, wzz18, ddh)
new_compare110(wzz34000, wzz35000, False, df, dg, dh) → GT
new_esEs24(wzz502, wzz4002, app(app(app(ty_@3, bgd), bge), bgf)) → new_esEs4(wzz502, wzz4002, bgd, bge, bgf)
new_compare10(wzz34000, wzz35000, False) → GT
new_esEs6(@2(wzz500, wzz501), @2(wzz4000, wzz4001), cah, cba) → new_asAs(new_esEs25(wzz500, wzz4000, cah), new_esEs26(wzz501, wzz4001, cba))
new_esEs22(wzz500, wzz4000, app(app(ty_Either, bef), beg)) → new_esEs5(wzz500, wzz4000, bef, beg)
new_ltEs14(Right(wzz34000), Right(wzz35000), cfa, app(ty_[], cfb)) → new_ltEs9(wzz34000, wzz35000, cfb)
new_esEs10(wzz50, wzz400) → new_primEqInt(wzz50, wzz400)
new_esEs18(wzz34000, wzz35000, app(ty_[], dd)) → new_esEs15(wzz34000, wzz35000, dd)
new_lt9(wzz34000, wzz35000, dd) → new_esEs13(new_compare0(wzz34000, wzz35000, dd), LT)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCompAux0(wzz200, EQ) → wzz200
new_esEs24(wzz502, wzz4002, app(ty_[], bhd)) → new_esEs15(wzz502, wzz4002, bhd)
new_esEs26(wzz501, wzz4001, ty_Ordering) → new_esEs13(wzz501, wzz4001)
new_compare28(@0, @0) → EQ
new_ltEs19(wzz3400, wzz3500, ty_@0) → new_ltEs16(wzz3400, wzz3500)
new_esEs27(wzz500, wzz4000, ty_Double) → new_esEs11(wzz500, wzz4000)
new_esEs25(wzz500, wzz4000, app(ty_Ratio, cbg)) → new_esEs12(wzz500, wzz4000, cbg)
new_ltEs6(wzz34002, wzz35002, ty_Char) → new_ltEs8(wzz34002, wzz35002)
new_esEs7(Just(wzz500), Just(wzz4000), app(ty_Ratio, cb)) → new_esEs12(wzz500, wzz4000, cb)
new_ltEs19(wzz3400, wzz3500, app(ty_Maybe, hb)) → new_ltEs18(wzz3400, wzz3500, hb)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_compare17(wzz34000, wzz35000, ty_Integer) → new_compare11(wzz34000, wzz35000)
new_esEs5(Right(wzz500), Right(wzz4000), bca, app(ty_Maybe, bdc)) → new_esEs7(wzz500, wzz4000, bdc)
new_esEs22(wzz500, wzz4000, app(ty_Maybe, bfa)) → new_esEs7(wzz500, wzz4000, bfa)
new_lt6(wzz34001, wzz35001, app(app(app(ty_@3, eg), eh), fa)) → new_lt12(wzz34001, wzz35001, eg, eh, fa)
new_primCmpInt(Neg(Succ(wzz3400)), Pos(wzz350)) → LT
new_not(True) → False
new_lt6(wzz34001, wzz35001, ty_Int) → new_lt11(wzz34001, wzz35001)

The set Q consists of the following terms:

new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Char)
new_sr(x0, x1)
new_esEs19(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Zero)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare17(x0, x1, app(ty_[], x2))
new_lt17(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Float)
new_esEs19(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_pePe(False, x0)
new_primEqNat0(Zero, Succ(x0))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_compare211(x0, x1, True)
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux0(x0, EQ)
new_esEs26(x0, x1, ty_Integer)
new_esEs13(GT, GT)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_asAs(False, x0)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(x0, x1, ty_Bool)
new_lt9(x0, x1, x2)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_esEs25(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Float)
new_esEs15(:(x0, x1), :(x2, x3), x4)
new_esEs25(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare18(x0, x1)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs12(:%(x0, x1), :%(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_fsEs(x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs30(x0, x1, ty_Integer)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(Nothing, Just(x0), x1)
new_ltEs18(Just(x0), Just(x1), ty_Double)
new_esEs25(x0, x1, ty_Char)
new_ltEs10(x0, x1, x2)
new_lt4(x0, x1)
new_esEs22(x0, x1, ty_Bool)
new_esEs8(@0, @0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_pePe(True, x0)
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs29(x0, x1, ty_Bool)
new_lt10(x0, x1, x2)
new_esEs19(x0, x1, ty_Int)
new_ltEs7(True, True)
new_esEs30(x0, x1, ty_Ordering)
new_esEs15([], :(x0, x1), x2)
new_lt20(x0, x1, ty_Char)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, ty_Integer)
new_ltEs18(Just(x0), Just(x1), ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Int)
new_compare17(x0, x1, ty_Ordering)
new_compare11(Integer(x0), Integer(x1))
new_lt20(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare5(Char(x0), Char(x1))
new_ltEs7(True, False)
new_ltEs7(False, True)
new_compare17(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1)
new_compare9(x0, x1)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs29(x0, x1, ty_@0)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Double)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs18(x0, x1, app(app(ty_Either, x2), x3))
new_primEqNat0(Zero, Zero)
new_ltEs6(x0, x1, ty_@0)
new_compare16(x0, x1, True, x2, x3)
new_esEs27(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(True, True)
new_compare17(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, ty_Integer)
new_compare25(Just(x0), Nothing, False, x1)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_compare10(x0, x1, False)
new_compare28(@0, @0)
new_primPlusNat1(Succ(x0), Zero)
new_esEs24(x0, x1, ty_Char)
new_lt16(x0, x1)
new_esEs14(Char(x0), Char(x1))
new_ltEs18(Nothing, Just(x0), x1)
new_esEs23(x0, x1, ty_Double)
new_primMulNat0(Zero, Zero)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs15(:(x0, x1), [], x2)
new_ltEs18(Just(x0), Just(x1), ty_Char)
new_lt6(x0, x1, ty_Float)
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_ltEs19(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Int)
new_lt5(x0, x1, ty_Int)
new_ltEs18(Nothing, Nothing, x0)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, ty_Integer)
new_lt6(x0, x1, ty_@0)
new_esEs19(x0, x1, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs4(GT, GT)
new_lt11(x0, x1)
new_esEs18(x0, x1, ty_Float)
new_compare6(x0, x1)
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs22(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs16(x0, x1)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, ty_Integer)
new_compare13(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(EQ, EQ)
new_ltEs13(x0, x1)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs24(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Float)
new_lt5(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_ltEs18(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare17(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Bool)
new_esEs19(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_@0)
new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_ltEs6(x0, x1, ty_Ordering)
new_primPlusNat0(x0, x1)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_esEs19(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt6(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare10(x0, x1, True)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(Double(x0, x1), Double(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_compare26(x0, x1, True, x2, x3)
new_primPlusNat1(Zero, Zero)
new_ltEs12(x0, x1)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_compare24(x0, x1, True)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primCompAux0(x0, GT)
new_compare211(x0, x1, False)
new_esEs16(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, ty_Float)
new_ltEs4(EQ, EQ)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_@0)
new_ltEs18(Just(x0), Just(x1), ty_Ordering)
new_compare0(:(x0, x1), [], x2)
new_esEs24(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_compare26(x0, x1, False, x2, x3)
new_ltEs18(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs18(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Bool)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare17(x0, x1, app(ty_Maybe, x2))
new_ltEs4(LT, EQ)
new_ltEs4(EQ, LT)
new_esEs26(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_esEs28(x0, x1, ty_Integer)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs8(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_lt12(x0, x1, x2, x3, x4)
new_lt13(x0, x1)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(Just(x0), Just(x1), ty_Float)
new_esEs28(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs15(x0, x1)
new_esEs30(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare25(x0, x1, True, x2)
new_lt5(x0, x1, ty_Double)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt14(x0, x1)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs18(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare111(x0, x1, False, x2)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt5(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_@0)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs30(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare17(x0, x1, ty_Char)
new_compare17(x0, x1, ty_Float)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Bool)
new_ltEs9(x0, x1, x2)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs4(LT, LT)
new_compare17(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Bool)
new_lt7(x0, x1)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Char)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(ty_[], x2))
new_esEs18(x0, x1, ty_Double)
new_lt19(x0, x1, x2)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_@0)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Char)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Int)
new_esEs15([], [], x0)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat0(Zero, Zero)
new_esEs25(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs25(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_compare29(x0, x1, False, x2, x3)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs24(x0, x1, ty_Int)
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_compare111(x0, x1, True, x2)
new_lt5(x0, x1, ty_Char)
new_lt6(x0, x1, ty_Int)
new_ltEs18(Just(x0), Nothing, x1)
new_ltEs6(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs9(False, False)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs19(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, ty_Double)
new_lt6(x0, x1, ty_Ordering)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs19(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Zero, Succ(x0))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs18(x0, x1, ty_@0)
new_esEs13(LT, LT)
new_compare12(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_@0)
new_compare112(x0, x1, True)
new_esEs27(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Succ(x0), Zero)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Float)
new_compare210(x0, x1, True, x2, x3, x4)
new_esEs23(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_compare112(x0, x1, False)
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_ltEs18(Just(x0), Just(x1), ty_Bool)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_ltEs4(EQ, GT)
new_ltEs4(GT, EQ)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_not(True)
new_primMulNat0(Zero, Succ(x0))
new_compare8(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, ty_Char)
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_compare29(x0, x1, True, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare17(x0, x1, ty_Integer)
new_lt6(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs7(Just(x0), Just(x1), ty_Float)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpNat0(Succ(x0), Zero)
new_not(False)
new_lt5(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs23(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_@0)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_primCompAux1(x0, x1, x2, x3)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs18(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_compare25(Nothing, Nothing, False, x0)
new_compare14(Float(x0, x1), Float(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs18(Just(x0), Just(x1), app(ty_[], x2))
new_compare24(x0, x1, False)
new_ltEs11(x0, x1)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_compare25(Just(x0), Just(x1), False, x2)
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare17(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_primCompAux0(x0, LT)
new_esEs9(True, False)
new_esEs9(False, True)
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs18(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Double)
new_esEs19(x0, x1, ty_Float)
new_compare27(x0, x1, x2, x3)
new_compare0([], [], x0)
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Ordering)
new_ltEs18(Just(x0), Just(x1), ty_@0)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, ty_Bool)
new_lt5(x0, x1, ty_Ordering)
new_compare17(x0, x1, ty_Int)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_lt18(x0, x1, x2, x3)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Nothing, x1)
new_ltEs19(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare110(x0, x1, False, x2, x3, x4)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, ty_Int)
new_ltEs18(Just(x0), Just(x1), ty_Integer)
new_compare25(Nothing, Just(x0), False, x1)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs6(x0, x1, ty_Float)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs7(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_compare16(x0, x1, False, x2, x3)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_compare0([], :(x0, x1), x2)
new_ltEs4(GT, LT)
new_ltEs4(LT, GT)
new_ltEs17(@2(x0, x1), @2(x2, x3), x4, x5)
new_sr0(Integer(x0), Integer(x1))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_ltEs18(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(ty_[], x2))
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Pos(x0), Pos(x1))
new_lt5(x0, x1, ty_Bool)
new_compare13(x0, x1, False, x2, x3)
new_ltEs20(x0, x1, ty_Float)
new_compare19(x0, x1, x2, x3, x4)
new_lt20(x0, x1, ty_Integer)
new_asAs(True, x0)
new_esEs18(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_Char)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Double)
new_ltEs7(False, False)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(x0, x1, app(ty_Maybe, 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: