YES 12.595 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 :: (Ord b, Ord a) => FiniteMap (Either a b) c  ->  Either a b  ->  c  ->  FiniteMap (Either a b) c) :: (Ord b, Ord a) => FiniteMap (Either a b) c  ->  Either a b  ->  c  ->  FiniteMap (Either a b) c)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b


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

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

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_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 (\key elt rest ->(key,elt: rest) [] fm

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

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
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 :: a  ->  b  ->  FiniteMap a b
unitFM key elt Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



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

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

The following Lambda expression
\oldnewnew

is transformed to
addToFM0 old new = new



↳ HASKELL
  ↳ LR
HASKELL
      ↳ CR

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

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


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

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

  
addToFM0 old new new

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

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

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

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

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

  
fmToList0 key elt rest (key,elt: rest

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

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

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

  sIZE_RATIO :: Int
sIZE_RATIO 5

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

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

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


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

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

  
addToFM0 old new new

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt 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 b a  ->  [(b,a)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

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

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
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



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

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


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

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

  
addToFM0 old new new

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

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

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

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

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

  
fmToList0 key elt rest (key,elt: rest

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

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

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

  sIZE_RATIO :: Int
sIZE_RATIO 5

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

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Replaced joker patterns by fresh variables and removed binding patterns.

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

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

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b


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

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

  
addToFM0 old new new

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_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 vuv vuw EmptyFM(key,elt)
findMax (Branch key elt vux vuy 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 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r = 
mkBalBranch1 fm_L fm_R fm_L
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_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 yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr = 
single_L fm_L fm_R
 | otherwise = 
double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll = 
single_R fm_L fm_R
 | otherwise = 
double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_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 xx xy size xz yusize

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Cond Reductions:
The following Function with conditions
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 = single_R fm_L fm_R
 | otherwise
 = double_R fm_L fm_R

is transformed to
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

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

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

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

The following Function with conditions
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 = single_L fm_L fm_R
 | otherwise
 = double_L fm_L fm_R

is transformed to
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

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

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

mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

The following Function with conditions
mkBalBranch key elt fm_L fm_R
 | size_l + size_r < 2
 = mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l
 = mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r
 = mkBalBranch1 fm_L fm_R fm_L
 | otherwise
 = mkBranch 2 key elt fm_L fm_R
where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_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 yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 = single_L fm_L fm_R
 | otherwise
 = double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 = single_R fm_L fm_R
 | otherwise
 = double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yv 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 zv (Branch key_rl elt_rl zw 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 yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yv 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
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 wuu wuv wuw wux = addToFM_C3 wuu wuv wuw wux

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

is transformed to
compare x y = compare3 x y

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

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

compare0 x y True = GT

compare3 x y = compare2 x y (x == y)

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

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

gcd'0 x y = gcd' y (x `rem` y)

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

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

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

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

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

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

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

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

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

is transformed to
absReal x = absReal2 x

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

absReal0 x True = `negate` x

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False

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

is transformed to
reduce x y = reduce2 x y

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



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

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

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b


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

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

  
addToFM0 old new new

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt 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 wuu wuv wuw wux addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM(key,elt)
findMax (Branch key elt vux vuy fm_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 :: (a  ->  b  ->  c  ->  c ->  c  ->  FiniteMap a b  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt vw fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

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

  
mkBalBranch6 key elt fm_L fm_R 
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw 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 yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True double_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_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 xx xy size xz yusize

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude



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

are unpacked to the following functions on top level
mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM = True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vx vy vz wu) = mkBranchLeft_ok0Biggest_left_key fm_l < key

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

mkBranchBalance_ok wxw wxx wxy = True

mkBranchUnbox wxw wxx wxy x = x

mkBranchLeft_size wxw wxx wxy = sizeFM wxy

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

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

mkBranchRight_size wxw wxx wxy = sizeFM 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 wxz wyw (1 + mkBranchLeft_size wyv wxz wyw + mkBranchRight_size wyv wxz wyw)) wyw wyv

The bindings of the following Let/Where expression
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2)
where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_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 yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yv 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)

mkBalBranch6Size_r wyx wyy wyz wzu = sizeFM wyx

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

mkBalBranch6Size_l wyx wyy wyz wzu = sizeFM wyy

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

reduce2D wzx wzy = gcd wzx wzy

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

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

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

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

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

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



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

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

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b


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

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

  
addToFM0 old new new

  addToFM_C :: Ord 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 wuu wuv wuw wux addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

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

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

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

  
fmToList0 key elt rest (key,elt: rest

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

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

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

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

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

  
mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

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

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

  
mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

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

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

  
mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

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

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

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

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

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

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

  
mkBalBranch6Size_l wyx wyy wyz wzu sizeFM wyy

  
mkBalBranch6Size_r wyx wyy wyz wzu sizeFM wyx

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

  
mkBranchBalance_ok wxw wxx wxy True

  
mkBranchLeft_ok wxw wxx wxy mkBranchLeft_ok0 wxw wxx wxy wxy wxx wxy

  
mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vx vy vz wumkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key wzv fst (findMax wzv)

  
mkBranchLeft_size wxw wxx wxy sizeFM wxy

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

  
mkBranchRight_ok wxw wxx wxy mkBranchRight_ok0 wxw wxx wxy wxw wxx wxw

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

  
mkBranchRight_ok0Smallest_right_key wzw fst (findMin wzw)

  
mkBranchRight_size wxw wxx wxy sizeFM wxw

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

  sIZE_RATIO :: Int
sIZE_RATIO 5

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

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


module Maybe where
  import qualified FiniteMap
import qualified Prelude



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

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

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

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


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

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

  
addToFM0 old new new

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_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 wuu wuv wuw wux addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap a b
emptyFM EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt vuv vuw EmptyFM(key,elt)
findMax (Branch key elt vux vuy fm_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  ->  c  ->  a  ->  a ->  a  ->  FiniteMap b c  ->  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 a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R mkBalBranch6 key elt fm_L fm_R

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

  
mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_rrmkBranch (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) key_rl elt_rl (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) wyz wzu fm_l fm_rll) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R wyx wyy wyz wzu (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))) key_lr elt_lr (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) key_l elt_l fm_ll fm_lrl) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) wyz wzu fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

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

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

  
mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

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

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

  
mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < Pos (Succ (Succ Zero)) * sizeFM fm_ll)

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

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

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

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

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

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

  
mkBalBranch6Size_l wyx wyy wyz wzu sizeFM wyy

  
mkBalBranch6Size_r wyx wyy wyz wzu sizeFM wyx

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

  
mkBranchBalance_ok wxw wxx wxy True

  
mkBranchLeft_ok wxw wxx wxy mkBranchLeft_ok0 wxw wxx wxy wxy wxx wxy

  
mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vx vy vz wumkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key wzv fst (findMax wzv)

  
mkBranchLeft_size wxw wxx wxy sizeFM wxy

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

  
mkBranchRight_ok wxw wxx wxy mkBranchRight_ok0 wxw wxx wxy wxw wxx wxw

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

  
mkBranchRight_ok0Smallest_right_key wzw fst (findMin wzw)

  
mkBranchRight_size wxw wxx wxy sizeFM wxw

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

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

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

  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(wzz4000), Succ(wzz30000)) → new_primEqNat(wzz4000, wzz30000)

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(wzz4800), Succ(wzz4900)) → new_primCmpNat(wzz4800, wzz4900)

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(wzz51200), Succ(wzz13300)) → new_primMinusNat(wzz51200, wzz13300)

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(wzz51200), Succ(wzz13300)) → new_primPlusNat(wzz51200, wzz13300)

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(wzz40100), Succ(wzz300100)) → new_primMulNat(wzz40100, Succ(wzz300100))

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

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



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

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

new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, gb, app(app(ty_Either, gd), ge)) → new_esEs1(wzz402, wzz3002, gd, ge)
new_esEs1(Left(wzz400), Left(wzz3000), app(app(ty_@2, ec), ed), de) → new_esEs3(wzz400, wzz3000, ec, ed)
new_esEs0(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, ce), cf), cg)) → new_esEs2(wzz400, wzz3000, ce, cf, cg)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), app(app(app(ty_@3, bba), bbb), bbc), gb, he) → new_esEs2(wzz400, wzz3000, bba, bbb, bbc)
new_esEs1(Right(wzz400), Right(wzz3000), ef, app(ty_Maybe, eg)) → new_esEs0(wzz400, wzz3000, eg)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, gb, app(ty_[], hc)) → new_esEs(wzz402, wzz3002, hc)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), app(app(ty_Either, bdc), bdd), bdb) → new_esEs1(wzz400, wzz3000, bdc, bdd)
new_esEs(:(wzz400, wzz401), :(wzz3000, wzz3001), app(app(app(ty_@3, bd), be), bf)) → new_esEs2(wzz400, wzz3000, bd, be, bf)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), app(app(ty_@2, bbd), bbe), gb, he) → new_esEs3(wzz400, wzz3000, bbd, bbe)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bbg, app(app(app(ty_@3, bcc), bcd), bce)) → new_esEs2(wzz401, wzz3001, bcc, bcd, bce)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, app(ty_Maybe, hd), he) → new_esEs0(wzz401, wzz3001, hd)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), app(ty_[], bbf), gb, he) → new_esEs(wzz400, wzz3000, bbf)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), app(ty_[], beb), bdb) → new_esEs(wzz400, wzz3000, beb)
new_esEs0(Just(wzz400), Just(wzz3000), app(ty_Maybe, cb)) → new_esEs0(wzz400, wzz3000, cb)
new_esEs0(Just(wzz400), Just(wzz3000), app(ty_[], dc)) → new_esEs(wzz400, wzz3000, dc)
new_esEs1(Left(wzz400), Left(wzz3000), app(app(ty_Either, df), dg), de) → new_esEs1(wzz400, wzz3000, df, dg)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, app(app(ty_@2, bac), bad), he) → new_esEs3(wzz401, wzz3001, bac, bad)
new_esEs1(Right(wzz400), Right(wzz3000), ef, app(app(ty_Either, eh), fa)) → new_esEs1(wzz400, wzz3000, eh, fa)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, gb, app(ty_Maybe, gc)) → new_esEs0(wzz402, wzz3002, gc)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), app(ty_Maybe, baf), gb, he) → new_esEs0(wzz400, wzz3000, baf)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bbg, app(ty_[], bch)) → new_esEs(wzz401, wzz3001, bch)
new_esEs1(Left(wzz400), Left(wzz3000), app(ty_Maybe, dd), de) → new_esEs0(wzz400, wzz3000, dd)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bbg, app(app(ty_@2, bcf), bcg)) → new_esEs3(wzz401, wzz3001, bcf, bcg)
new_esEs(:(wzz400, wzz401), :(wzz3000, wzz3001), app(ty_Maybe, ba)) → new_esEs0(wzz400, wzz3000, ba)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, app(app(ty_Either, hf), hg), he) → new_esEs1(wzz401, wzz3001, hf, hg)
new_esEs1(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dh), ea), eb), de) → new_esEs2(wzz400, wzz3000, dh, ea, eb)
new_esEs(:(wzz400, wzz401), :(wzz3000, wzz3001), h) → new_esEs(wzz401, wzz3001, h)
new_esEs1(Right(wzz400), Right(wzz3000), ef, app(app(app(ty_@3, fb), fc), fd)) → new_esEs2(wzz400, wzz3000, fb, fc, fd)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bbg, app(app(ty_Either, bca), bcb)) → new_esEs1(wzz401, wzz3001, bca, bcb)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), app(ty_Maybe, bda), bdb) → new_esEs0(wzz400, wzz3000, bda)
new_esEs0(Just(wzz400), Just(wzz3000), app(app(ty_Either, cc), cd)) → new_esEs1(wzz400, wzz3000, cc, cd)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, app(app(app(ty_@3, hh), baa), bab), he) → new_esEs2(wzz401, wzz3001, hh, baa, bab)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, app(ty_[], bae), he) → new_esEs(wzz401, wzz3001, bae)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), app(app(ty_@2, bdh), bea), bdb) → new_esEs3(wzz400, wzz3000, bdh, bea)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bbg, app(ty_Maybe, bbh)) → new_esEs0(wzz401, wzz3001, bbh)
new_esEs(:(wzz400, wzz401), :(wzz3000, wzz3001), app(app(ty_@2, bg), bh)) → new_esEs3(wzz400, wzz3000, bg, bh)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), app(app(ty_Either, bag), bah), gb, he) → new_esEs1(wzz400, wzz3000, bag, bah)
new_esEs3(@2(wzz400, wzz401), @2(wzz3000, wzz3001), app(app(app(ty_@3, bde), bdf), bdg), bdb) → new_esEs2(wzz400, wzz3000, bde, bdf, bdg)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, gb, app(app(ty_@2, ha), hb)) → new_esEs3(wzz402, wzz3002, ha, hb)
new_esEs1(Right(wzz400), Right(wzz3000), ef, app(ty_[], fh)) → new_esEs(wzz400, wzz3000, fh)
new_esEs(:(wzz400, wzz401), :(wzz3000, wzz3001), app(app(ty_Either, bb), bc)) → new_esEs1(wzz400, wzz3000, bb, bc)
new_esEs1(Left(wzz400), Left(wzz3000), app(ty_[], ee), de) → new_esEs(wzz400, wzz3000, ee)
new_esEs1(Right(wzz400), Right(wzz3000), ef, app(app(ty_@2, ff), fg)) → new_esEs3(wzz400, wzz3000, ff, fg)
new_esEs0(Just(wzz400), Just(wzz3000), app(app(ty_@2, da), db)) → new_esEs3(wzz400, wzz3000, da, db)
new_esEs(:(wzz400, wzz401), :(wzz3000, wzz3001), app(ty_[], ca)) → new_esEs(wzz400, wzz3000, ca)
new_esEs2(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ga, gb, app(app(app(ty_@3, gf), gg), gh)) → new_esEs2(wzz402, wzz3002, gf, gg, gh)

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_compare21(Left(:(wzz48000, wzz48001)), Left(:(wzz49000, wzz49001)), False, app(ty_[], ef), gd) → new_compare0(wzz48001, wzz49001, ef)
new_compare21(Left(Right(wzz48000)), Left(Right(wzz49000)), False, app(app(ty_Either, dd), app(app(ty_@2, ed), ee)), gd) → new_ltEs3(wzz48000, wzz49000, ed, ee)
new_ltEs0(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, cf), cg), da), cb) → new_ltEs2(wzz48000, wzz49000, cf, cg, da)
new_compare0(:(wzz48000, wzz48001), :(wzz49000, wzz49001), ef) → new_compare0(wzz48001, wzz49001, ef)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, app(app(app(ty_@3, bbc), bbd), bbe)), gf), baa), gd) → new_compare22(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bbc, bbd, bbe), bbc, bbd, bbe)
new_ltEs(Just(wzz48000), Just(wzz49000), app(app(ty_Either, ba), bb)) → new_ltEs0(wzz48000, wzz49000, ba, bb)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, app(app(app(ty_@3, bae), baf), bag), baa) → new_lt2(wzz48001, wzz49001, bae, baf, bag)
new_compare21(Left(Just(wzz48000)), Left(Just(wzz49000)), False, app(ty_Maybe, app(ty_Maybe, h)), gd) → new_ltEs(wzz48000, wzz49000, h)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, app(ty_[], bbb)), gf), baa), gd) → new_compare0(wzz48000, wzz49000, bbb)
new_ltEs0(Left(wzz48000), Left(wzz49000), app(ty_[], ce), cb) → new_ltEs1(wzz48000, wzz49000, ce)
new_compare21(Left(Just(wzz48000)), Left(Just(wzz49000)), False, app(ty_Maybe, app(app(app(ty_@3, bd), be), bf)), gd) → new_ltEs2(wzz48000, wzz49000, bd, be, bf)
new_compare21(Right(wzz4800), Right(wzz4900), False, bed, app(app(ty_Either, bef), beg)) → new_ltEs0(wzz4800, wzz4900, bef, beg)
new_compare21(Left(Right(wzz48000)), Left(Right(wzz49000)), False, app(app(ty_Either, dd), app(ty_Maybe, de)), gd) → new_ltEs(wzz48000, wzz49000, de)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), gf), app(app(app(ty_@3, hc), hd), he)), gd) → new_ltEs2(wzz48002, wzz49002, hc, hd, he)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, gf, app(ty_Maybe, gg)) → new_ltEs(wzz48002, wzz49002, gg)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, bbh), app(app(app(ty_@3, bce), bcf), bcg)), gd) → new_ltEs2(wzz48001, wzz49001, bce, bcf, bcg)
new_lt(wzz48000, wzz49000, ga) → new_compare20(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, ga), ga)
new_compare21(Right(wzz4800), Right(wzz4900), False, bed, app(app(app(ty_@3, bfa), bfb), bfc)) → new_ltEs2(wzz4800, wzz4900, bfa, bfb, bfc)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, app(app(ty_@2, beb), bec)), bdc), gd) → new_lt3(wzz48000, wzz49000, beb, bec)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), bbh, app(app(ty_@2, bch), bda)) → new_ltEs3(wzz48001, wzz49001, bch, bda)
new_compare21(Left(Left(wzz48000)), Left(Left(wzz49000)), False, app(app(ty_Either, app(app(ty_Either, cc), cd)), cb), gd) → new_ltEs0(wzz48000, wzz49000, cc, cd)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, gf, app(ty_[], hb)) → new_ltEs1(wzz48002, wzz49002, hb)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), app(ty_[], bbb), gf, baa) → new_compare0(wzz48000, wzz49000, bbb)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), app(app(app(ty_@3, bbc), bbd), bbe), gf, baa) → new_compare22(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bbc, bbd, bbe), bbc, bbd, bbe)
new_compare21(Left(Left(wzz48000)), Left(Left(wzz49000)), False, app(app(ty_Either, app(ty_Maybe, ca)), cb), gd) → new_ltEs(wzz48000, wzz49000, ca)
new_ltEs0(Right(wzz48000), Right(wzz49000), dd, app(app(ty_Either, df), dg)) → new_ltEs0(wzz48000, wzz49000, df, dg)
new_compare23(wzz48000, wzz49000, False, bbf, bbg) → new_ltEs3(wzz48000, wzz49000, bbf, bbg)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, bbh), app(ty_[], bcd)), gd) → new_ltEs1(wzz48001, wzz49001, bcd)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), app(app(ty_@2, bbf), bbg), gf, baa) → new_compare23(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, bbf, bbg), bbf, bbg)
new_ltEs0(Right(wzz48000), Right(wzz49000), dd, app(app(app(ty_@3, ea), eb), ec)) → new_ltEs2(wzz48000, wzz49000, ea, eb, ec)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), app(app(ty_@2, beb), bec), bdc) → new_lt3(wzz48000, wzz49000, beb, bec)
new_ltEs(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, bd), be), bf)) → new_ltEs2(wzz48000, wzz49000, bd, be, bf)
new_ltEs0(Right(wzz48000), Right(wzz49000), dd, app(ty_Maybe, de)) → new_ltEs(wzz48000, wzz49000, de)
new_primCompAux(wzz48000, wzz49000, wzz211, app(ty_Maybe, eg)) → new_compare1(wzz48000, wzz49000, eg)
new_ltEs(Just(wzz48000), Just(wzz49000), app(ty_[], bc)) → new_ltEs1(wzz48000, wzz49000, bc)
new_primCompAux(wzz48000, wzz49000, wzz211, app(app(app(ty_@3, fc), fd), ff)) → new_compare3(wzz48000, wzz49000, fc, fd, ff)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, app(ty_Maybe, hh), baa) → new_lt(wzz48001, wzz49001, hh)
new_ltEs1(:(wzz48000, wzz48001), :(wzz49000, wzz49001), ef) → new_compare0(wzz48001, wzz49001, ef)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), gf), app(ty_Maybe, gg)), gd) → new_ltEs(wzz48002, wzz49002, gg)
new_lt0(wzz48000, wzz49000, gb, gc) → new_compare21(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, gb, gc), gb, gc)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, app(app(ty_@2, bah), bba), baa) → new_lt3(wzz48001, wzz49001, bah, bba)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, app(app(ty_Either, bab), bac), baa) → new_lt0(wzz48001, wzz49001, bab, bac)
new_compare22(wzz48000, wzz49000, False, bbc, bbd, bbe) → new_ltEs2(wzz48000, wzz49000, bbc, bbd, bbe)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, app(ty_[], bad), baa) → new_lt1(wzz48001, wzz49001, bad)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), app(ty_[], bdf), bdc) → new_lt1(wzz48000, wzz49000, bdf)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, bbh), app(app(ty_Either, bcb), bcc)), gd) → new_ltEs0(wzz48001, wzz49001, bcb, bcc)
new_compare21(Left(Just(wzz48000)), Left(Just(wzz49000)), False, app(ty_Maybe, app(app(ty_@2, bg), bh)), gd) → new_ltEs3(wzz48000, wzz49000, bg, bh)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), gf), app(app(ty_@2, hf), hg)), gd) → new_ltEs3(wzz48002, wzz49002, hf, hg)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, app(ty_[], bdf)), bdc), gd) → new_lt1(wzz48000, wzz49000, bdf)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), bbh, app(ty_[], bcd)) → new_ltEs1(wzz48001, wzz49001, bcd)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, app(app(ty_Either, bdd), bde)), bdc), gd) → new_lt0(wzz48000, wzz49000, bdd, bde)
new_compare21(Left(Just(wzz48000)), Left(Just(wzz49000)), False, app(ty_Maybe, app(app(ty_Either, ba), bb)), gd) → new_ltEs0(wzz48000, wzz49000, ba, bb)
new_compare0(:(wzz48000, wzz48001), :(wzz49000, wzz49001), ef) → new_primCompAux(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, ef), ef)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, gf, app(app(app(ty_@3, hc), hd), he)) → new_ltEs2(wzz48002, wzz49002, hc, hd, he)
new_compare21(Left(Left(wzz48000)), Left(Left(wzz49000)), False, app(app(ty_Either, app(ty_[], ce)), cb), gd) → new_ltEs1(wzz48000, wzz49000, ce)
new_compare2(wzz48000, wzz49000, gb, gc) → new_compare21(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, gb, gc), gb, gc)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), app(app(ty_Either, bdd), bde), bdc) → new_lt0(wzz48000, wzz49000, bdd, bde)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), app(app(ty_Either, bab), bac)), baa), gd) → new_lt0(wzz48001, wzz49001, bab, bac)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), app(ty_[], bad)), baa), gd) → new_lt1(wzz48001, wzz49001, bad)
new_ltEs0(Left(wzz48000), Left(wzz49000), app(app(ty_Either, cc), cd), cb) → new_ltEs0(wzz48000, wzz49000, cc, cd)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), bbh, app(app(ty_Either, bcb), bcc)) → new_ltEs0(wzz48001, wzz49001, bcb, bcc)
new_ltEs(Just(wzz48000), Just(wzz49000), app(ty_Maybe, h)) → new_ltEs(wzz48000, wzz49000, h)
new_compare3(wzz48000, wzz49000, bbc, bbd, bbe) → new_compare22(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bbc, bbd, bbe), bbc, bbd, bbe)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, app(ty_Maybe, bdb)), bdc), gd) → new_lt(wzz48000, wzz49000, bdb)
new_compare21(Left(Right(wzz48000)), Left(Right(wzz49000)), False, app(app(ty_Either, dd), app(app(app(ty_@3, ea), eb), ec)), gd) → new_ltEs2(wzz48000, wzz49000, ea, eb, ec)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, app(app(ty_Either, gb), gc)), gf), baa), gd) → new_compare21(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, gb, gc), gb, gc)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, app(app(app(ty_@3, bdg), bdh), bea)), bdc), gd) → new_lt2(wzz48000, wzz49000, bdg, bdh, bea)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), bbh, app(ty_Maybe, bca)) → new_ltEs(wzz48001, wzz49001, bca)
new_lt3(wzz48000, wzz49000, bbf, bbg) → new_compare23(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, bbf, bbg), bbf, bbg)
new_primCompAux(wzz48000, wzz49000, wzz211, app(ty_[], fb)) → new_compare0(wzz48000, wzz49000, fb)
new_compare21(Left(Left(wzz48000)), Left(Left(wzz49000)), False, app(app(ty_Either, app(app(app(ty_@3, cf), cg), da)), cb), gd) → new_ltEs2(wzz48000, wzz49000, cf, cg, da)
new_ltEs1(:(wzz48000, wzz48001), :(wzz49000, wzz49001), ef) → new_primCompAux(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, ef), ef)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, bbh), app(app(ty_@2, bch), bda)), gd) → new_ltEs3(wzz48001, wzz49001, bch, bda)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, gf, app(app(ty_@2, hf), hg)) → new_ltEs3(wzz48002, wzz49002, hf, hg)
new_primCompAux(wzz48000, wzz49000, wzz211, app(app(ty_Either, eh), fa)) → new_compare2(wzz48000, wzz49000, eh, fa)
new_compare21(Left(Right(wzz48000)), Left(Right(wzz49000)), False, app(app(ty_Either, dd), app(ty_[], dh)), gd) → new_ltEs1(wzz48000, wzz49000, dh)
new_compare21(Left(Just(wzz48000)), Left(Just(wzz49000)), False, app(ty_Maybe, app(ty_[], bc)), gd) → new_ltEs1(wzz48000, wzz49000, bc)
new_compare21(Left(@2(wzz48000, wzz48001)), Left(@2(wzz49000, wzz49001)), False, app(app(ty_@2, bbh), app(ty_Maybe, bca)), gd) → new_ltEs(wzz48001, wzz49001, bca)
new_ltEs0(Left(wzz48000), Left(wzz49000), app(ty_Maybe, ca), cb) → new_ltEs(wzz48000, wzz49000, ca)
new_lt2(wzz48000, wzz49000, bbc, bbd, bbe) → new_compare22(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bbc, bbd, bbe), bbc, bbd, bbe)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), bbh, app(app(app(ty_@3, bce), bcf), bcg)) → new_ltEs2(wzz48001, wzz49001, bce, bcf, bcg)
new_lt1(wzz48000, wzz49000, bbb) → new_compare0(wzz48000, wzz49000, bbb)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, app(app(ty_@2, bbf), bbg)), gf), baa), gd) → new_compare23(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, bbf, bbg), bbf, bbg)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), app(app(ty_Either, gb), gc), gf, baa) → new_compare21(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, gb, gc), gb, gc)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), app(app(app(ty_@3, bdg), bdh), bea), bdc) → new_lt2(wzz48000, wzz49000, bdg, bdh, bea)
new_ltEs0(Left(wzz48000), Left(wzz49000), app(app(ty_@2, db), dc), cb) → new_ltEs3(wzz48000, wzz49000, db, dc)
new_ltEs(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bg), bh)) → new_ltEs3(wzz48000, wzz49000, bg, bh)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), app(ty_Maybe, hh)), baa), gd) → new_lt(wzz48001, wzz49001, hh)
new_compare21(Left(:(wzz48000, wzz48001)), Left(:(wzz49000, wzz49001)), False, app(ty_[], ef), gd) → new_primCompAux(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, ef), ef)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), app(app(ty_@2, bah), bba)), baa), gd) → new_lt3(wzz48001, wzz49001, bah, bba)
new_ltEs0(Right(wzz48000), Right(wzz49000), dd, app(ty_[], dh)) → new_ltEs1(wzz48000, wzz49000, dh)
new_primCompAux(wzz48000, wzz49000, wzz211, app(app(ty_@2, fg), fh)) → new_compare4(wzz48000, wzz49000, fg, fh)
new_compare21(Right(wzz4800), Right(wzz4900), False, bed, app(ty_[], beh)) → new_ltEs1(wzz4800, wzz4900, beh)
new_compare1(wzz48000, wzz49000, ga) → new_compare20(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, ga), ga)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, app(ty_Maybe, ga)), gf), baa), gd) → new_compare20(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, ga), ga)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, gf, app(app(ty_Either, gh), ha)) → new_ltEs0(wzz48002, wzz49002, gh, ha)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), gf), app(ty_[], hb)), gd) → new_ltEs1(wzz48002, wzz49002, hb)
new_ltEs3(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), app(ty_Maybe, bdb), bdc) → new_lt(wzz48000, wzz49000, bdb)
new_compare21(Left(Right(wzz48000)), Left(Right(wzz49000)), False, app(app(ty_Either, dd), app(app(ty_Either, df), dg)), gd) → new_ltEs0(wzz48000, wzz49000, df, dg)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), gf), app(app(ty_Either, gh), ha)), gd) → new_ltEs0(wzz48002, wzz49002, gh, ha)
new_compare21(Right(wzz4800), Right(wzz4900), False, bed, app(ty_Maybe, bee)) → new_ltEs(wzz4800, wzz4900, bee)
new_ltEs0(Right(wzz48000), Right(wzz49000), dd, app(app(ty_@2, ed), ee)) → new_ltEs3(wzz48000, wzz49000, ed, ee)
new_compare4(wzz48000, wzz49000, bbf, bbg) → new_compare23(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, bbf, bbg), bbf, bbg)
new_compare21(Right(wzz4800), Right(wzz4900), False, bed, app(app(ty_@2, bfd), bfe)) → new_ltEs3(wzz4800, wzz4900, bfd, bfe)
new_compare21(Left(@3(wzz48000, wzz48001, wzz48002)), Left(@3(wzz49000, wzz49001, wzz49002)), False, app(app(app(ty_@3, ge), app(app(app(ty_@3, bae), baf), bag)), baa), gd) → new_lt2(wzz48001, wzz49001, bae, baf, bag)
new_compare21(Left(Left(wzz48000)), Left(Left(wzz49000)), False, app(app(ty_Either, app(app(ty_@2, db), dc)), cb), gd) → new_ltEs3(wzz48000, wzz49000, db, dc)
new_ltEs2(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), app(ty_Maybe, ga), gf, baa) → new_compare20(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, ga), ga)
new_compare20(wzz48000, wzz49000, False, ga) → new_ltEs(wzz48000, wzz49000, ga)

The TRS R consists of the following rules:

new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Maybe, cgc)) → new_esEs4(wzz400, wzz3000, cgc)
new_esEs22(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, app(app(ty_Either, cee), cef)) → new_esEs5(wzz400, wzz3000, cee, cef)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs11(LT, GT) → True
new_esEs25(wzz48000, wzz49000, app(ty_[], bdf)) → new_esEs16(wzz48000, wzz49000, bdf)
new_esEs23(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_compare25(Right(wzz4800), Right(wzz4900), False, bed, gd) → new_compare11(wzz4800, wzz4900, new_ltEs20(wzz4800, wzz4900, gd), bed, gd)
new_ltEs10(wzz4800, wzz4900) → new_fsEs(new_compare16(wzz4800, wzz4900))
new_esEs23(wzz401, wzz3001, app(app(ty_Either, cdc), cdd)) → new_esEs5(wzz401, wzz3001, cdc, cdd)
new_lt20(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_compare10(wzz48000, wzz49000, True, bbf, bbg) → LT
new_compare([], :(wzz49000, wzz49001), ef) → LT
new_compare25(Right(wzz4800), Left(wzz4900), False, bed, gd) → GT
new_esEs9(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs4(Just(wzz400), Nothing, cgb) → False
new_esEs4(Nothing, Just(wzz3000), cgb) → False
new_esEs24(wzz400, wzz3000, app(ty_Maybe, ced)) → new_esEs4(wzz400, wzz3000, ced)
new_lt20(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Ratio, cha)) → new_esEs14(wzz400, wzz3000, cha)
new_ltEs21(wzz48001, wzz49001, ty_Bool) → new_ltEs9(wzz48001, wzz49001)
new_lt20(wzz48000, wzz49000, app(ty_Ratio, cga)) → new_lt12(wzz48000, wzz49000, cga)
new_esEs9(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_lt8(wzz480, wzz490) → new_esEs11(new_compare16(wzz480, wzz490), LT)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, bd), be), bf)) → new_ltEs17(wzz48000, wzz49000, bd, be, bf)
new_lt7(wzz48000, wzz49000) → new_esEs11(new_compare18(wzz48000, wzz49000), LT)
new_esEs22(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs11(EQ, EQ) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Char, cb) → new_ltEs5(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Char) → new_esEs12(wzz400, wzz3000)
new_compare31(wzz48000, wzz49000, ty_Double) → new_compare29(wzz48000, wzz49000)
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Integer) → new_compare7(new_sr0(wzz48000, wzz49001), new_sr0(wzz49000, wzz48001))
new_primMulNat0(Zero, Zero) → Zero
new_esEs17(Double(wzz400, wzz401), Double(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs10(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_compare(:(wzz48000, wzz48001), [], ef) → GT
new_ltEs20(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Ratio, dae), chf) → new_esEs14(wzz400, wzz3000, dae)
new_lt20(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, ty_Double) → new_esEs17(wzz402, wzz3002)
new_ltEs20(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, cgf), cgg), cgh)) → new_esEs6(wzz400, wzz3000, cgf, cgg, cgh)
new_compare31(wzz48000, wzz49000, app(app(ty_@2, fg), fh)) → new_compare6(wzz48000, wzz49000, fg, fh)
new_lt20(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_ltEs21(wzz48001, wzz49001, app(app(app(ty_@3, bce), bcf), bcg)) → new_ltEs17(wzz48001, wzz49001, bce, bcf, bcg)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Char, chf) → new_esEs12(wzz400, wzz3000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_Either, ba), bb)) → new_ltEs13(wzz48000, wzz49000, ba, bb)
new_lt20(wzz48000, wzz49000, app(app(app(ty_@3, bdg), bdh), bea)) → new_lt18(wzz48000, wzz49000, bdg, bdh, bea)
new_esEs25(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_ltEs9(True, False) → False
new_ltEs18(wzz48002, wzz49002, ty_Integer) → new_ltEs6(wzz48002, wzz49002)
new_esEs23(wzz401, wzz3001, app(ty_Maybe, cdb)) → new_esEs4(wzz401, wzz3001, cdb)
new_esEs5(Right(wzz400), Right(wzz3000), dba, ty_Char) → new_esEs12(wzz400, wzz3000)
new_lt10(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Ratio, cce)) → new_lt12(wzz48000, wzz49000, cce)
new_compare5(Char(wzz48000), Char(wzz49000)) → new_primCmpNat0(wzz48000, wzz49000)
new_lt18(wzz48000, wzz49000, bbc, bbd, bbe) → new_esEs11(new_compare30(wzz48000, wzz49000, bbc, bbd, bbe), LT)
new_esEs23(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_compare18(@0, @0) → EQ
new_esEs5(Left(wzz400), Left(wzz3000), ty_Integer, chf) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), dba, ty_Int) → new_esEs20(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_esEs10(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs22(wzz48000, wzz49000, app(ty_Ratio, cce)) → new_esEs14(wzz48000, wzz49000, cce)
new_esEs21(wzz48001, wzz49001, app(ty_Ratio, ccd)) → new_esEs14(wzz48001, wzz49001, ccd)
new_compare31(wzz48000, wzz49000, app(app(app(ty_@3, fc), fd), ff)) → new_compare30(wzz48000, wzz49000, fc, fd, ff)
new_esEs15(Integer(wzz400), Integer(wzz3000)) → new_primEqInt(wzz400, wzz3000)
new_ltEs21(wzz48001, wzz49001, app(app(ty_@2, bch), bda)) → new_ltEs4(wzz48001, wzz49001, bch, bda)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Int) → new_esEs20(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, app(ty_Maybe, de)) → new_ltEs7(wzz48000, wzz49000, de)
new_compare9(wzz48000, wzz49000) → new_compare28(wzz48000, wzz49000, new_esEs19(wzz48000, wzz49000))
new_ltEs19(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_esEs8(wzz402, wzz3002, ty_Ordering) → new_esEs11(wzz402, wzz3002)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bg), bh)) → new_ltEs4(wzz48000, wzz49000, bg, bh)
new_esEs5(Right(wzz400), Right(wzz3000), dba, app(app(app(ty_@3, dbe), dbf), dbg)) → new_esEs6(wzz400, wzz3000, dbe, dbf, dbg)
new_ltEs20(wzz4800, wzz4900, app(app(ty_Either, bef), beg)) → new_ltEs13(wzz4800, wzz4900, bef, beg)
new_pePe(False, wzz210) → wzz210
new_esEs24(wzz400, wzz3000, app(ty_Ratio, cfb)) → new_esEs14(wzz400, wzz3000, cfb)
new_esEs25(wzz48000, wzz49000, app(app(ty_@2, beb), bec)) → new_esEs7(wzz48000, wzz49000, beb, bec)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, cf), cg), da), cb) → new_ltEs17(wzz48000, wzz49000, cf, cg, da)
new_compare25(Left(wzz4800), Right(wzz4900), False, bed, gd) → LT
new_compare210(wzz48000, wzz49000, False) → new_compare13(wzz48000, wzz49000, new_ltEs11(wzz48000, wzz49000))
new_esEs8(wzz402, wzz3002, ty_Int) → new_esEs20(wzz402, wzz3002)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Bool) → new_esEs19(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, app(app(ty_@2, bbh), bdc)) → new_ltEs4(wzz4800, wzz4900, bbh, bdc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Ordering, chf) → new_esEs11(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, app(app(app(ty_@3, ea), eb), ec)) → new_ltEs17(wzz48000, wzz49000, ea, eb, ec)
new_esEs28(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_esEs9(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_compare19(wzz48000, wzz49000, True) → LT
new_esEs5(Right(wzz400), Right(wzz3000), dba, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Maybe, chg), chf) → new_esEs4(wzz400, wzz3000, chg)
new_ltEs8(wzz4800, wzz4900, cff) → new_fsEs(new_compare15(wzz4800, wzz4900, cff))
new_ltEs20(wzz4800, wzz4900, app(app(ty_@2, bfd), bfe)) → new_ltEs4(wzz4800, wzz4900, bfd, bfe)
new_lt5(wzz48000, wzz49000) → new_esEs11(new_compare9(wzz48000, wzz49000), LT)
new_primCmpNat0(Zero, Succ(wzz4900)) → LT
new_compare32(wzz48000, wzz49000) → new_compare210(wzz48000, wzz49000, new_esEs11(wzz48000, wzz49000))
new_esEs25(wzz48000, wzz49000, app(app(ty_Either, bdd), bde)) → new_esEs5(wzz48000, wzz49000, bdd, bde)
new_ltEs4(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), bbh, bdc) → new_pePe(new_lt20(wzz48000, wzz49000, bbh), new_asAs(new_esEs25(wzz48000, wzz49000, bbh), new_ltEs21(wzz48001, wzz49001, bdc)))
new_esEs25(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs11(GT, GT) → True
new_esEs9(wzz401, wzz3001, app(ty_Ratio, caa)) → new_esEs14(wzz401, wzz3001, caa)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(ty_@2, beb), bec)) → new_lt19(wzz48000, wzz49000, beb, bec)
new_lt9(wzz48001, wzz49001, ty_Char) → new_lt11(wzz48001, wzz49001)
new_pePe(True, wzz210) → True
new_primEqNat0(Zero, Zero) → True
new_lt20(wzz48000, wzz49000, app(ty_Maybe, bdb)) → new_lt6(wzz48000, wzz49000, bdb)
new_lt19(wzz48000, wzz49000, bbf, bbg) → new_esEs11(new_compare6(wzz48000, wzz49000, bbf, bbg), LT)
new_lt15(wzz48000, wzz49000, gb, gc) → new_esEs11(new_compare8(wzz48000, wzz49000, gb, gc), LT)
new_compare111(wzz183, wzz184, False, ccf, ccg) → GT
new_lt9(wzz48001, wzz49001, app(app(app(ty_@3, bae), baf), bag)) → new_lt18(wzz48001, wzz49001, bae, baf, bag)
new_esEs5(Right(wzz400), Right(wzz3000), dba, ty_Float) → new_esEs18(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, ty_Int) → new_lt8(wzz48001, wzz49001)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, app(ty_[], dh)) → new_ltEs14(wzz48000, wzz49000, dh)
new_esEs22(wzz48000, wzz49000, app(app(ty_@2, bbf), bbg)) → new_esEs7(wzz48000, wzz49000, bbf, bbg)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_esEs19(True, True) → True
new_lt12(wzz48000, wzz49000, cce) → new_esEs11(new_compare15(wzz48000, wzz49000, cce), LT)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_compare(:(wzz48000, wzz48001), :(wzz49000, wzz49001), ef) → new_primCompAux1(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, ef), ef)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Ordering, cb) → new_ltEs11(wzz48000, wzz49000)
new_compare12(wzz48000, wzz49000, False, ga) → GT
new_sr(wzz401, wzz3001) → new_primMulInt(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Int) → new_ltEs10(wzz48002, wzz49002)
new_lt4(wzz48000, wzz49000) → new_esEs11(new_compare7(wzz48000, wzz49000), LT)
new_esEs7(@2(wzz400, wzz401), @2(wzz3000, wzz3001), cch, cda) → new_asAs(new_esEs24(wzz400, wzz3000, cch), new_esEs23(wzz401, wzz3001, cda))
new_esEs9(wzz401, wzz3001, app(ty_[], cad)) → new_esEs16(wzz401, wzz3001, cad)
new_esEs24(wzz400, wzz3000, app(app(ty_@2, cfc), cfd)) → new_esEs7(wzz400, wzz3000, cfc, cfd)
new_esEs24(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Ordering) → new_compare32(wzz48000, wzz49000)
new_primPlusNat0(Succ(wzz1420), wzz300100) → Succ(Succ(new_primPlusNat1(wzz1420, wzz300100)))
new_esEs4(Just(wzz400), Just(wzz3000), ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_lt20(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, app(ty_Ratio, ccd)) → new_lt12(wzz48001, wzz49001, ccd)
new_esEs8(wzz402, wzz3002, ty_Char) → new_esEs12(wzz402, wzz3002)
new_esEs21(wzz48001, wzz49001, ty_Int) → new_esEs20(wzz48001, wzz49001)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_esEs8(wzz402, wzz3002, ty_Float) → new_esEs18(wzz402, wzz3002)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_[], ce), cb) → new_ltEs14(wzz48000, wzz49000, ce)
new_esEs22(wzz48000, wzz49000, app(app(app(ty_@3, bbc), bbd), bbe)) → new_esEs6(wzz48000, wzz49000, bbc, bbd, bbe)
new_lt10(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_[], dah), chf) → new_esEs16(wzz400, wzz3000, dah)
new_primPlusNat1(Succ(wzz51200), Zero) → Succ(wzz51200)
new_primPlusNat1(Zero, Succ(wzz13300)) → Succ(wzz13300)
new_esEs24(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_ltEs14(wzz4800, wzz4900, ef) → new_fsEs(new_compare(wzz4800, wzz4900, ef))
new_compare13(wzz48000, wzz49000, False) → GT
new_esEs21(wzz48001, wzz49001, ty_Char) → new_esEs12(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, app(ty_Maybe, dch)) → new_esEs4(wzz400, wzz3000, dch)
new_esEs6(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), bff, bfg, bfh) → new_asAs(new_esEs10(wzz400, wzz3000, bff), new_asAs(new_esEs9(wzz401, wzz3001, bfg), new_esEs8(wzz402, wzz3002, bfh)))
new_compare31(wzz48000, wzz49000, ty_Integer) → new_compare7(wzz48000, wzz49000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_lt9(wzz48001, wzz49001, app(ty_Maybe, hh)) → new_lt6(wzz48001, wzz49001, hh)
new_esEs19(False, False) → True
new_ltEs19(wzz4800, wzz4900, app(ty_Ratio, cff)) → new_ltEs8(wzz4800, wzz4900, cff)
new_esEs24(wzz400, wzz3000, app(app(app(ty_@3, ceg), ceh), cfa)) → new_esEs6(wzz400, wzz3000, ceg, ceh, cfa)
new_lt9(wzz48001, wzz49001, ty_Float) → new_lt14(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(ty_@2, bah), bba)) → new_esEs7(wzz48001, wzz49001, bah, bba)
new_ltEs12(wzz4800, wzz4900) → new_fsEs(new_compare17(wzz4800, wzz4900))
new_ltEs21(wzz48001, wzz49001, app(app(ty_Either, bcb), bcc)) → new_ltEs13(wzz48001, wzz49001, bcb, bcc)
new_primEqInt(Neg(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Neg(Succ(wzz4000)), Neg(Zero)) → False
new_compare14(wzz48000, wzz49000, ga) → new_compare26(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, ga), ga)
new_primCompAux0(wzz224, GT) → GT
new_ltEs21(wzz48001, wzz49001, app(ty_[], bcd)) → new_ltEs14(wzz48001, wzz49001, bcd)
new_ltEs21(wzz48001, wzz49001, ty_Int) → new_ltEs10(wzz48001, wzz49001)
new_esEs4(Just(wzz400), Just(wzz3000), ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs14(:%(wzz400, wzz401), :%(wzz3000, wzz3001), dcf) → new_asAs(new_esEs27(wzz400, wzz3000, dcf), new_esEs26(wzz401, wzz3001, dcf))
new_lt20(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_compare24(wzz48000, wzz49000, True, bbf, bbg) → EQ
new_esEs5(Right(wzz400), Right(wzz3000), dba, app(ty_Ratio, dbh)) → new_esEs14(wzz400, wzz3000, dbh)
new_compare([], [], ef) → EQ
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Double, cb) → new_ltEs16(wzz48000, wzz49000)
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_ltEs18(wzz48002, wzz49002, ty_Double) → new_ltEs16(wzz48002, wzz49002)
new_lt20(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Ratio, dcd), cb) → new_ltEs8(wzz48000, wzz49000, dcd)
new_esEs24(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, app(app(ty_@2, ddg), ddh)) → new_esEs7(wzz400, wzz3000, ddg, ddh)
new_primCmpNat0(Succ(wzz4800), Succ(wzz4900)) → new_primCmpNat0(wzz4800, wzz4900)
new_esEs22(wzz48000, wzz49000, app(ty_Maybe, ga)) → new_esEs4(wzz48000, wzz49000, ga)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Maybe, bdb)) → new_esEs4(wzz48000, wzz49000, bdb)
new_ltEs18(wzz48002, wzz49002, app(app(ty_Either, gh), ha)) → new_ltEs13(wzz48002, wzz49002, gh, ha)
new_lt10(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_compare10(wzz48000, wzz49000, False, bbf, bbg) → GT
new_esEs10(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), dba, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs9(wzz401, wzz3001, app(app(ty_@2, cab), cac)) → new_esEs7(wzz401, wzz3001, cab, cac)
new_lt9(wzz48001, wzz49001, app(ty_[], bad)) → new_lt16(wzz48001, wzz49001, bad)
new_ltEs7(Nothing, Just(wzz49000), cca) → True
new_esEs26(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs5(Right(wzz400), Right(wzz3000), dba, app(app(ty_Either, dbc), dbd)) → new_esEs5(wzz400, wzz3000, dbc, dbd)
new_primEqNat0(Succ(wzz4000), Succ(wzz30000)) → new_primEqNat0(wzz4000, wzz30000)
new_compare31(wzz48000, wzz49000, ty_Float) → new_compare17(wzz48000, wzz49000)
new_esEs23(wzz401, wzz3001, app(ty_Ratio, cdh)) → new_esEs14(wzz401, wzz3001, cdh)
new_compare28(wzz48000, wzz49000, False) → new_compare19(wzz48000, wzz49000, new_ltEs9(wzz48000, wzz49000))
new_ltEs21(wzz48001, wzz49001, ty_Ordering) → new_ltEs11(wzz48001, wzz49001)
new_ltEs19(wzz4800, wzz4900, app(app(ty_Either, dd), cb)) → new_ltEs13(wzz4800, wzz4900, dd, cb)
new_esEs26(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_ltEs20(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_[], ef)) → new_ltEs14(wzz4800, wzz4900, ef)
new_lt16(wzz48000, wzz49000, bbb) → new_esEs11(new_compare(wzz48000, wzz49000, bbb), LT)
new_ltEs18(wzz48002, wzz49002, app(ty_[], hb)) → new_ltEs14(wzz48002, wzz49002, hb)
new_primCmpInt(Neg(Succ(wzz4800)), Neg(wzz490)) → new_primCmpNat0(wzz490, Succ(wzz4800))
new_esEs10(wzz400, wzz3000, app(app(ty_@2, cbd), cbe)) → new_esEs7(wzz400, wzz3000, cbd, cbe)
new_esEs8(wzz402, wzz3002, app(app(ty_@2, bgh), bha)) → new_esEs7(wzz402, wzz3002, bgh, bha)
new_ltEs21(wzz48001, wzz49001, app(ty_Ratio, cfh)) → new_ltEs8(wzz48001, wzz49001, cfh)
new_compare24(wzz48000, wzz49000, False, bbf, bbg) → new_compare10(wzz48000, wzz49000, new_ltEs4(wzz48000, wzz49000, bbf, bbg), bbf, bbg)
new_primEqInt(Pos(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Pos(Zero)) → False
new_esEs22(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, ty_Bool) → new_esEs19(wzz48001, wzz49001)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(wzz4800), Zero) → GT
new_lt10(wzz48000, wzz49000, app(ty_Maybe, ga)) → new_lt6(wzz48000, wzz49000, ga)
new_lt20(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt9(wzz48001, wzz49001, ty_Double) → new_lt17(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_@0) → new_esEs13(wzz48001, wzz49001)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz4900))) → LT
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_Either, cgd), cge)) → new_esEs5(wzz400, wzz3000, cgd, cge)
new_compare19(wzz48000, wzz49000, False) → GT
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_compare11(wzz190, wzz191, True, cbg, cbh) → LT
new_esEs5(Right(wzz400), Right(wzz3000), dba, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_compare13(wzz48000, wzz49000, True) → LT
new_sr0(Integer(wzz480000), Integer(wzz490010)) → Integer(new_primMulInt(wzz480000, wzz490010))
new_primPlusNat1(Succ(wzz51200), Succ(wzz13300)) → Succ(Succ(new_primPlusNat1(wzz51200, wzz13300)))
new_compare12(wzz48000, wzz49000, True, ga) → LT
new_ltEs20(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_esEs21(wzz48001, wzz49001, ty_Double) → new_esEs17(wzz48001, wzz49001)
new_primEqInt(Neg(Succ(wzz4000)), Pos(wzz3000)) → False
new_primEqInt(Pos(Succ(wzz4000)), Neg(wzz3000)) → False
new_ltEs20(wzz4800, wzz4900, app(ty_[], beh)) → new_ltEs14(wzz4800, wzz4900, beh)
new_ltEs19(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_esEs28(wzz400, wzz3000, app(app(ty_Either, dda), ddb)) → new_esEs5(wzz400, wzz3000, dda, ddb)
new_esEs25(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs8(wzz402, wzz3002, app(app(ty_Either, bgb), bgc)) → new_esEs5(wzz402, wzz3002, bgb, bgc)
new_ltEs19(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_esEs25(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, app(app(ty_Either, bhd), bhe)) → new_esEs5(wzz401, wzz3001, bhd, bhe)
new_ltEs11(GT, LT) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz30000))) → False
new_esEs24(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_esEs13(@0, @0) → True
new_esEs21(wzz48001, wzz49001, ty_Integer) → new_esEs15(wzz48001, wzz49001)
new_primCmpInt(Pos(Zero), Pos(Succ(wzz4900))) → new_primCmpNat0(Zero, Succ(wzz4900))
new_esEs23(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs21(wzz48001, wzz49001, ty_Ordering) → new_esEs11(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Ratio, ccb)) → new_ltEs8(wzz48000, wzz49000, ccb)
new_esEs23(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_lt17(wzz48000, wzz49000) → new_esEs11(new_compare29(wzz48000, wzz49000), LT)
new_esEs22(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Double, chf) → new_esEs17(wzz400, wzz3000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Float, cb) → new_ltEs12(wzz48000, wzz49000)
new_ltEs18(wzz48002, wzz49002, ty_@0) → new_ltEs15(wzz48002, wzz49002)
new_ltEs11(LT, EQ) → True
new_esEs10(wzz400, wzz3000, app(ty_[], cbf)) → new_esEs16(wzz400, wzz3000, cbf)
new_lt9(wzz48001, wzz49001, ty_Bool) → new_lt5(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, app(ty_Ratio, ddf)) → new_esEs14(wzz400, wzz3000, ddf)
new_esEs22(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_compare26(wzz48000, wzz49000, True, ga) → EQ
new_ltEs11(LT, LT) → True
new_primCompAux0(wzz224, LT) → LT
new_esEs12(Char(wzz400), Char(wzz3000)) → new_primEqNat0(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, app(app(app(ty_@3, bgd), bge), bgf)) → new_esEs6(wzz402, wzz3002, bgd, bge, bgf)
new_ltEs18(wzz48002, wzz49002, app(ty_Ratio, ccc)) → new_ltEs8(wzz48002, wzz49002, ccc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_@0, chf) → new_esEs13(wzz400, wzz3000)
new_not(False) → True
new_ltEs21(wzz48001, wzz49001, ty_Double) → new_ltEs16(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_compare8(wzz48000, wzz49000, gb, gc) → new_compare25(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, gb, gc), gb, gc)
new_ltEs20(wzz4800, wzz4900, app(app(app(ty_@3, bfa), bfb), bfc)) → new_ltEs17(wzz4800, wzz4900, bfa, bfb, bfc)
new_esEs28(wzz400, wzz3000, app(ty_[], dea)) → new_esEs16(wzz400, wzz3000, dea)
new_ltEs5(wzz4800, wzz4900) → new_fsEs(new_compare5(wzz4800, wzz4900))
new_primCmpInt(Pos(Succ(wzz4800)), Pos(wzz490)) → new_primCmpNat0(Succ(wzz4800), wzz490)
new_primPlusNat0(Zero, wzz300100) → Succ(wzz300100)
new_compare31(wzz48000, wzz49000, app(app(ty_Either, eh), fa)) → new_compare8(wzz48000, wzz49000, eh, fa)
new_esEs5(Right(wzz400), Right(wzz3000), dba, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs11(GT, LT) → False
new_esEs11(LT, GT) → False
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Integer, cb) → new_ltEs6(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs23(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs25(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs11(EQ, LT) → False
new_esEs11(LT, EQ) → False
new_compare31(wzz48000, wzz49000, ty_@0) → new_compare18(wzz48000, wzz49000)
new_esEs5(Right(wzz400), Right(wzz3000), dba, ty_Double) → new_esEs17(wzz400, wzz3000)
new_ltEs18(wzz48002, wzz49002, app(ty_Maybe, gg)) → new_ltEs7(wzz48002, wzz49002, gg)
new_compare28(wzz48000, wzz49000, True) → EQ
new_ltEs11(GT, GT) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_@0, cb) → new_ltEs15(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Bool, chf) → new_esEs19(wzz400, wzz3000)
new_compare11(wzz190, wzz191, False, cbg, cbh) → GT
new_primCmpInt(Pos(Succ(wzz4800)), Neg(wzz490)) → GT
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Maybe, h)) → new_ltEs7(wzz48000, wzz49000, h)
new_esEs24(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs9(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Ordering) → new_ltEs11(wzz48002, wzz49002)
new_compare26(wzz48000, wzz49000, False, ga) → new_compare12(wzz48000, wzz49000, new_ltEs7(wzz48000, wzz49000, ga), ga)
new_esEs22(wzz48000, wzz49000, app(ty_[], bbb)) → new_esEs16(wzz48000, wzz49000, bbb)
new_esEs20(wzz40, wzz300) → new_primEqInt(wzz40, wzz300)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_@2, db), dc), cb) → new_ltEs4(wzz48000, wzz49000, db, dc)
new_primMulInt(Pos(wzz4010), Pos(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Float) → new_esEs18(wzz400, wzz3000)
new_ltEs20(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs9(True, True) → True
new_esEs5(Right(wzz400), Right(wzz3000), dba, app(ty_[], dcc)) → new_esEs16(wzz400, wzz3000, dcc)
new_esEs5(Left(wzz400), Right(wzz3000), dba, chf) → False
new_esEs5(Right(wzz400), Left(wzz3000), dba, chf) → False
new_primMulInt(Neg(wzz4010), Neg(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_primEqNat0(Zero, Succ(wzz30000)) → False
new_primEqNat0(Succ(wzz4000), Zero) → False
new_esEs10(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_compare25(wzz480, wzz490, True, bed, gd) → EQ
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_ltEs18(wzz48002, wzz49002, app(app(app(ty_@3, hc), hd), he)) → new_ltEs17(wzz48002, wzz49002, hc, hd, he)
new_ltEs9(False, False) → True
new_esEs28(wzz400, wzz3000, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs6(wzz400, wzz3000, ddc, ddd, dde)
new_esEs4(Nothing, Nothing, cgb) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Int, cb) → new_ltEs10(wzz48000, wzz49000)
new_fsEs(wzz193) → new_not(new_esEs11(wzz193, GT))
new_compare210(wzz48000, wzz49000, True) → EQ
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_esEs16(:(wzz400, wzz401), [], dcg) → False
new_esEs16([], :(wzz3000, wzz3001), dcg) → False
new_ltEs19(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs18(wzz48002, wzz49002, ty_Bool) → new_ltEs9(wzz48002, wzz49002)
new_ltEs21(wzz48001, wzz49001, ty_Char) → new_ltEs5(wzz48001, wzz49001)
new_ltEs7(Nothing, Nothing, cca) → True
new_ltEs20(wzz4800, wzz4900, app(ty_Ratio, cfg)) → new_ltEs8(wzz4800, wzz4900, cfg)
new_primCmpInt(Neg(Zero), Neg(Succ(wzz4900))) → new_primCmpNat0(Succ(wzz4900), Zero)
new_ltEs16(wzz4800, wzz4900) → new_fsEs(new_compare29(wzz4800, wzz4900))
new_compare29(Double(wzz48000, wzz48001), Double(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_primCmpInt(Pos(Zero), Neg(Succ(wzz4900))) → GT
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Maybe, ca), cb) → new_ltEs7(wzz48000, wzz49000, ca)
new_esEs16(:(wzz400, wzz401), :(wzz3000, wzz3001), dcg) → new_asAs(new_esEs28(wzz400, wzz3000, dcg), new_esEs16(wzz401, wzz3001, dcg))
new_esEs25(wzz48000, wzz49000, app(ty_Ratio, cga)) → new_esEs14(wzz48000, wzz49000, cga)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_[], chd)) → new_esEs16(wzz400, wzz3000, chd)
new_compare31(wzz48000, wzz49000, app(ty_[], fb)) → new_compare(wzz48000, wzz49000, fb)
new_ltEs18(wzz48002, wzz49002, ty_Float) → new_ltEs12(wzz48002, wzz49002)
new_ltEs21(wzz48001, wzz49001, ty_Integer) → new_ltEs6(wzz48001, wzz49001)
new_ltEs20(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_Either, cc), cd), cb) → new_ltEs13(wzz48000, wzz49000, cc, cd)
new_esEs21(wzz48001, wzz49001, ty_Float) → new_esEs18(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_lt13(wzz48000, wzz49000) → new_esEs11(new_compare32(wzz48000, wzz49000), LT)
new_compare31(wzz48000, wzz49000, ty_Bool) → new_compare9(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, app(ty_Maybe, hh)) → new_esEs4(wzz48001, wzz49001, hh)
new_ltEs11(EQ, EQ) → True
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, app(app(ty_Either, df), dg)) → new_ltEs13(wzz48000, wzz49000, df, dg)
new_lt20(wzz48000, wzz49000, app(ty_[], bdf)) → new_lt16(wzz48000, wzz49000, bdf)
new_compare31(wzz48000, wzz49000, ty_Int) → new_compare16(wzz48000, wzz49000)
new_esEs8(wzz402, wzz3002, ty_Bool) → new_esEs19(wzz402, wzz3002)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_@2, daf), dag), chf) → new_esEs7(wzz400, wzz3000, daf, dag)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCompAux1(wzz48000, wzz49000, wzz211, ef) → new_primCompAux0(wzz211, new_compare31(wzz48000, wzz49000, ef))
new_lt9(wzz48001, wzz49001, app(app(ty_@2, bah), bba)) → new_lt19(wzz48001, wzz49001, bah, bba)
new_esEs10(wzz400, wzz3000, app(app(ty_Either, caf), cag)) → new_esEs5(wzz400, wzz3000, caf, cag)
new_compare31(wzz48000, wzz49000, ty_Char) → new_compare5(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(ty_@2, bbf), bbg)) → new_lt19(wzz48000, wzz49000, bbf, bbg)
new_lt9(wzz48001, wzz49001, ty_Ordering) → new_lt13(wzz48001, wzz49001)
new_asAs(False, wzz178) → False
new_ltEs20(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_esEs10(wzz400, wzz3000, app(app(app(ty_@3, cah), cba), cbb)) → new_esEs6(wzz400, wzz3000, cah, cba, cbb)
new_primMulInt(Pos(wzz4010), Neg(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Pos(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_compare16(wzz48, wzz49) → new_primCmpInt(wzz48, wzz49)
new_primMulNat0(Zero, Succ(wzz300100)) → Zero
new_primMulNat0(Succ(wzz40100), Zero) → Zero
new_ltEs13(Left(wzz48000), Right(wzz49000), dd, cb) → True
new_esEs21(wzz48001, wzz49001, app(app(ty_Either, bab), bac)) → new_esEs5(wzz48001, wzz49001, bab, bac)
new_esEs23(wzz401, wzz3001, app(app(app(ty_@3, cde), cdf), cdg)) → new_esEs6(wzz401, wzz3001, cde, cdf, cdg)
new_ltEs11(EQ, LT) → False
new_esEs9(wzz401, wzz3001, app(ty_Maybe, bhc)) → new_esEs4(wzz401, wzz3001, bhc)
new_esEs8(wzz402, wzz3002, app(ty_[], bhb)) → new_esEs16(wzz402, wzz3002, bhb)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, app(ty_Ratio, dce)) → new_ltEs8(wzz48000, wzz49000, dce)
new_esEs28(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dab), dac), dad), chf) → new_esEs6(wzz400, wzz3000, dab, dac, dad)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, app(ty_[], cfe)) → new_esEs16(wzz400, wzz3000, cfe)
new_esEs23(wzz401, wzz3001, app(app(ty_@2, cea), ceb)) → new_esEs7(wzz401, wzz3001, cea, ceb)
new_lt14(wzz48000, wzz49000) → new_esEs11(new_compare17(wzz48000, wzz49000), LT)
new_compare31(wzz48000, wzz49000, app(ty_Ratio, che)) → new_compare15(wzz48000, wzz49000, che)
new_compare110(wzz48000, wzz49000, True, bbc, bbd, bbe) → LT
new_esEs8(wzz402, wzz3002, ty_Integer) → new_esEs15(wzz402, wzz3002)
new_lt10(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_esEs28(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Char) → new_ltEs5(wzz48002, wzz49002)
new_compare31(wzz48000, wzz49000, app(ty_Maybe, eg)) → new_compare14(wzz48000, wzz49000, eg)
new_esEs25(wzz48000, wzz49000, app(app(app(ty_@3, bdg), bdh), bea)) → new_esEs6(wzz48000, wzz49000, bdg, bdh, bea)
new_esEs25(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_ltEs9(False, True) → True
new_compare27(wzz48000, wzz49000, False, bbc, bbd, bbe) → new_compare110(wzz48000, wzz49000, new_ltEs17(wzz48000, wzz49000, bbc, bbd, bbe), bbc, bbd, bbe)
new_esEs23(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs10(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Int) → new_compare16(new_sr(wzz48000, wzz49001), new_sr(wzz49000, wzz48001))
new_ltEs13(Right(wzz48000), Left(wzz49000), dd, cb) → False
new_esEs24(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, ty_Integer) → new_lt4(wzz48001, wzz49001)
new_compare25(Left(wzz4800), Left(wzz4900), False, bed, gd) → new_compare111(wzz4800, wzz4900, new_ltEs19(wzz4800, wzz4900, bed), bed, gd)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, app(app(ty_@2, ed), ee)) → new_ltEs4(wzz48000, wzz49000, ed, ee)
new_lt10(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt11(wzz48000, wzz49000) → new_esEs11(new_compare5(wzz48000, wzz49000), LT)
new_ltEs7(Just(wzz48000), Nothing, cca) → False
new_esEs5(Right(wzz400), Right(wzz3000), dba, app(ty_Maybe, dbb)) → new_esEs4(wzz400, wzz3000, dbb)
new_esEs8(wzz402, wzz3002, app(ty_Ratio, bgg)) → new_esEs14(wzz402, wzz3002, bgg)
new_esEs16([], [], dcg) → True
new_ltEs20(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs21(wzz48001, wzz49001, ty_@0) → new_ltEs15(wzz48001, wzz49001)
new_compare30(wzz48000, wzz49000, bbc, bbd, bbe) → new_compare27(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bbc, bbd, bbe), bbc, bbd, bbe)
new_esEs8(wzz402, wzz3002, app(ty_Maybe, bga)) → new_esEs4(wzz402, wzz3002, bga)
new_esEs27(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_compare7(Integer(wzz48000), Integer(wzz49000)) → new_primCmpInt(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(ty_Either, bdd), bde)) → new_lt15(wzz48000, wzz49000, bdd, bde)
new_lt10(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_ltEs19(wzz4800, wzz4900, app(ty_Maybe, cca)) → new_ltEs7(wzz4800, wzz4900, cca)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_Either, chh), daa), chf) → new_esEs5(wzz400, wzz3000, chh, daa)
new_ltEs21(wzz48001, wzz49001, app(ty_Maybe, bca)) → new_ltEs7(wzz48001, wzz49001, bca)
new_ltEs19(wzz4800, wzz4900, app(app(app(ty_@3, ge), gf), baa)) → new_ltEs17(wzz4800, wzz4900, ge, gf, baa)
new_compare6(wzz48000, wzz49000, bbf, bbg) → new_compare24(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, bbf, bbg), bbf, bbg)
new_lt10(wzz48000, wzz49000, app(app(app(ty_@3, bbc), bbd), bbe)) → new_lt18(wzz48000, wzz49000, bbc, bbd, bbe)
new_lt6(wzz48000, wzz49000, ga) → new_esEs11(new_compare14(wzz48000, wzz49000, ga), LT)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_@2, chb), chc)) → new_esEs7(wzz400, wzz3000, chb, chc)
new_esEs18(Float(wzz400, wzz401), Float(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_lt10(wzz48000, wzz49000, app(ty_[], bbb)) → new_lt16(wzz48000, wzz49000, bbb)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_[], bc)) → new_ltEs14(wzz48000, wzz49000, bc)
new_esEs10(wzz400, wzz3000, app(ty_Ratio, cbc)) → new_esEs14(wzz400, wzz3000, cbc)
new_ltEs21(wzz48001, wzz49001, ty_Float) → new_ltEs12(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), dba, app(app(ty_@2, dca), dcb)) → new_esEs7(wzz400, wzz3000, dca, dcb)
new_esEs23(wzz401, wzz3001, app(ty_[], cec)) → new_esEs16(wzz401, wzz3001, cec)
new_esEs9(wzz401, wzz3001, app(app(app(ty_@3, bhf), bhg), bhh)) → new_esEs6(wzz401, wzz3001, bhf, bhg, bhh)
new_esEs22(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_compare17(Float(wzz48000, wzz48001), Float(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_compare111(wzz183, wzz184, True, ccf, ccg) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_lt9(wzz48001, wzz49001, ty_@0) → new_lt7(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(app(ty_@3, bae), baf), bag)) → new_esEs6(wzz48001, wzz49001, bae, baf, bag)
new_lt10(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_asAs(True, wzz178) → wzz178
new_primMulNat0(Succ(wzz40100), Succ(wzz300100)) → new_primPlusNat0(new_primMulNat0(wzz40100, Succ(wzz300100)), wzz300100)
new_esEs11(LT, LT) → True
new_ltEs19(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Int, chf) → new_esEs20(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, ty_@0) → new_esEs13(wzz402, wzz3002)
new_esEs9(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Integer) → new_esEs15(wzz400, wzz3000)
new_compare27(wzz48000, wzz49000, True, bbc, bbd, bbe) → EQ
new_ltEs19(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs6(wzz4800, wzz4900) → new_fsEs(new_compare7(wzz4800, wzz4900))
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Bool, cb) → new_ltEs9(wzz48000, wzz49000)
new_ltEs18(wzz48002, wzz49002, app(app(ty_@2, hf), hg)) → new_ltEs4(wzz48002, wzz49002, hf, hg)
new_esEs11(GT, EQ) → False
new_esEs11(EQ, GT) → False
new_lt9(wzz48001, wzz49001, app(app(ty_Either, bab), bac)) → new_lt15(wzz48001, wzz49001, bab, bac)
new_ltEs17(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), ge, gf, baa) → new_pePe(new_lt10(wzz48000, wzz49000, ge), new_asAs(new_esEs22(wzz48000, wzz49000, ge), new_pePe(new_lt9(wzz48001, wzz49001, gf), new_asAs(new_esEs21(wzz48001, wzz49001, gf), new_ltEs18(wzz48002, wzz49002, baa)))))
new_ltEs20(wzz4800, wzz4900, app(ty_Maybe, bee)) → new_ltEs7(wzz4800, wzz4900, bee)
new_compare110(wzz48000, wzz49000, False, bbc, bbd, bbe) → GT
new_esEs22(wzz48000, wzz49000, app(app(ty_Either, gb), gc)) → new_esEs5(wzz48000, wzz49000, gb, gc)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, app(ty_[], bad)) → new_esEs16(wzz48001, wzz49001, bad)
new_ltEs13(Right(wzz48000), Right(wzz49000), dd, ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(wzz4800, wzz4900) → new_fsEs(new_compare18(wzz4800, wzz4900))
new_primCompAux0(wzz224, EQ) → wzz224
new_ltEs11(EQ, GT) → True
new_lt10(wzz48000, wzz49000, app(app(ty_Either, gb), gc)) → new_lt15(wzz48000, wzz49000, gb, gc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Float, chf) → new_esEs18(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(ty_Maybe, cae)) → new_esEs4(wzz400, wzz3000, cae)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_lt10(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs27(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_primCmpInt(Neg(Succ(wzz4800)), Pos(wzz490)) → LT
new_not(True) → False

The set Q consists of the following terms:

new_ltEs15(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_esEs13(@0, @0)
new_lt20(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare11(x0, x1, True, x2, x3)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(x0, x1, x2)
new_esEs9(x0, x1, ty_Int)
new_esEs10(x0, x1, ty_Char)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Bool)
new_primCompAux0(x0, GT)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_ltEs11(EQ, EQ)
new_asAs(False, x0)
new_ltEs18(x0, x1, ty_@0)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_lt14(x0, x1)
new_ltEs16(x0, x1)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt10(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare([], [], x0)
new_compare25(x0, x1, True, x2, x3)
new_esEs25(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_sr0(Integer(x0), Integer(x1))
new_lt9(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_lt8(x0, x1)
new_lt10(x0, x1, app(ty_Maybe, x2))
new_sr(x0, x1)
new_esEs21(x0, x1, ty_@0)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_compare28(x0, x1, False)
new_ltEs20(x0, x1, ty_Bool)
new_compare111(x0, x1, True, x2, x3)
new_compare7(Integer(x0), Integer(x1))
new_compare12(x0, x1, False, x2)
new_compare10(x0, x1, False, x2, x3)
new_primCompAux1(x0, x1, x2, x3)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_lt9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_@0)
new_lt9(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_compare31(x0, x1, ty_Ordering)
new_lt10(x0, x1, app(ty_[], x2))
new_lt11(x0, x1)
new_esEs25(x0, x1, ty_Bool)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Zero)
new_esEs10(x0, x1, ty_@0)
new_compare29(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Int)
new_compare(:(x0, x1), [], x2)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare14(x0, x1, x2)
new_compare31(x0, x1, ty_Bool)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_esEs24(x0, x1, ty_Int)
new_esEs19(True, True)
new_primMulNat0(Succ(x0), Succ(x1))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_lt13(x0, x1)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(GT, EQ)
new_esEs11(EQ, GT)
new_esEs24(x0, x1, ty_Bool)
new_esEs4(Just(x0), Nothing, x1)
new_compare18(@0, @0)
new_esEs8(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs9(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_primCmpNat0(Succ(x0), Zero)
new_esEs23(x0, x1, ty_Int)
new_lt9(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Char)
new_compare26(x0, x1, True, x2)
new_esEs10(x0, x1, ty_Int)
new_compare110(x0, x1, True, x2, x3, x4)
new_ltEs18(x0, x1, ty_Int)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_compare31(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_primMulNat0(Succ(x0), Zero)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs9(False, False)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs8(x0, x1, ty_Char)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primMulInt(Pos(x0), Pos(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_primMulNat0(Zero, Zero)
new_esEs28(x0, x1, ty_Double)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt10(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_compare31(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs9(x0, x1, ty_Double)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_lt10(x0, x1, ty_Double)
new_compare9(x0, x1)
new_compare24(x0, x1, True, x2, x3)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Succ(x0))
new_compare13(x0, x1, False)
new_esEs9(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs22(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs11(LT, GT)
new_esEs11(GT, LT)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_lt17(x0, x1)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_compare6(x0, x1, x2, x3)
new_ltEs6(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs16(:(x0, x1), :(x2, x3), x4)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_primPlusNat0(Zero, x0)
new_compare12(x0, x1, True, x2)
new_esEs8(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_lt19(x0, x1, x2, x3)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare19(x0, x1, True)
new_lt10(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs26(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs19(False, True)
new_esEs19(True, False)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs11(LT, LT)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_compare111(x0, x1, False, x2, x3)
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_compare([], :(x0, x1), x2)
new_lt10(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs16(:(x0, x1), [], x2)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare31(x0, x1, ty_Int)
new_lt9(x0, x1, app(ty_Maybe, x2))
new_lt10(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs4(Nothing, Just(x0), x1)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt20(x0, x1, ty_Float)
new_lt20(x0, x1, app(ty_[], x2))
new_ltEs9(True, True)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt15(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_Ordering)
new_lt9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs21(x0, x1, ty_Char)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare24(x0, x1, False, x2, x3)
new_esEs21(x0, x1, ty_Int)
new_compare5(Char(x0), Char(x1))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs19(x0, x1, ty_Char)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_lt9(x0, x1, app(ty_[], x2))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare(:(x0, x1), :(x2, x3), x4)
new_esEs10(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_compare13(x0, x1, True)
new_esEs9(x0, x1, ty_Float)
new_esEs11(LT, EQ)
new_esEs11(EQ, LT)
new_esEs25(x0, x1, ty_Double)
new_esEs19(False, False)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, app(ty_Ratio, x2))
new_compare11(x0, x1, False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs18(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt10(x0, x1, ty_Float)
new_esEs10(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Float)
new_lt9(x0, x1, ty_Double)
new_lt9(x0, x1, ty_Char)
new_ltEs7(Nothing, Nothing, x0)
new_esEs27(x0, x1, ty_Int)
new_esEs23(x0, x1, ty_Char)
new_lt20(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_compare27(x0, x1, True, x2, x3, x4)
new_lt9(x0, x1, ty_@0)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1)
new_esEs16([], [], x0)
new_ltEs21(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_compare8(x0, x1, x2, x3)
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_compare16(x0, x1)
new_esEs21(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_Double)
new_lt6(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs11(LT, LT)
new_lt10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs11(EQ, LT)
new_pePe(True, x0)
new_ltEs11(LT, EQ)
new_primMulNat0(Zero, Succ(x0))
new_lt5(x0, x1)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Nothing, x1)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs21(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs10(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs8(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_@0)
new_esEs24(x0, x1, ty_Double)
new_primPlusNat0(Succ(x0), x1)
new_lt9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_compare31(x0, x1, ty_Double)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_compare17(Float(x0, x1), Float(x2, x3))
new_compare26(x0, x1, False, x2)
new_lt10(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_compare10(x0, x1, True, x2, x3)
new_esEs9(x0, x1, ty_Char)
new_esEs16([], :(x0, x1), x2)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Char)
new_esEs10(x0, x1, ty_Integer)
new_ltEs7(Nothing, Just(x0), x1)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_Bool)
new_esEs4(Nothing, Nothing, x0)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs18(x0, x1, ty_Integer)
new_ltEs18(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Integer)
new_esEs11(GT, GT)
new_lt18(x0, x1, x2, x3, x4)
new_esEs18(Float(x0, x1), Float(x2, x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_not(True)
new_lt10(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_[], x2))
new_lt9(x0, x1, ty_Ordering)
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs26(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare28(x0, x1, True)
new_not(False)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_fsEs(x0)
new_lt12(x0, x1, x2)
new_ltEs18(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Bool)
new_esEs12(Char(x0), Char(x1))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_compare30(x0, x1, x2, x3, x4)
new_esEs23(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_lt16(x0, x1, x2)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Zero, Succ(x0))
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs28(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_ltEs8(x0, x1, x2)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare210(x0, x1, False)
new_esEs8(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare19(x0, x1, False)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_lt20(x0, x1, ty_Integer)
new_primCompAux0(x0, EQ)
new_ltEs18(x0, x1, ty_Char)
new_primCompAux0(x0, LT)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_pePe(False, x0)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs15(Integer(x0), Integer(x1))
new_compare31(x0, x1, ty_Float)
new_esEs11(EQ, EQ)
new_compare210(x0, x1, True)
new_esEs21(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_Float)
new_compare32(x0, x1)
new_ltEs19(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs28(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_primPlusNat1(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Char)
new_compare27(x0, x1, False, x2, x3, x4)
new_ltEs11(GT, GT)

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

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



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

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

new_addToFM_C2(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, False, h, ba, bb) → new_addToFM_C1(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, new_esEs11(new_compare25(Left(wzz20), Left(wzz15), new_esEs29(wzz20, wzz15, h), h, ba), GT), h, ba, bb)
new_addToFM_C(Branch(Left(wzz300), wzz31, wzz32, wzz33, wzz34), Right(wzz40), wzz5, bc, bd, be) → new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Left(wzz300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C12(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, True, bf, bg, bh) → new_addToFM_C(wzz36, Right(wzz37), wzz38, bf, bg, bh)
new_addToFM_C(Branch(Right(wzz300), wzz31, wzz32, wzz33, wzz34), Left(wzz40), wzz5, bc, bd, be) → new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Right(wzz300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C1(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, True, h, ba, bb) → new_addToFM_C(wzz19, Left(wzz20), wzz21, h, ba, bb)
new_addToFM_C2(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, True, h, ba, bb) → new_addToFM_C(wzz18, Left(wzz20), wzz21, h, ba, bb)
new_addToFM_C(Branch(Left(wzz300), wzz31, wzz32, wzz33, wzz34), Left(wzz40), wzz5, bc, bd, be) → new_addToFM_C2(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Left(wzz300), new_esEs30(wzz40, wzz300, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz33, Right(wzz40), wzz5, bc, bd, be)
new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz33, Left(wzz40), wzz5, bc, bd, be)
new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, False, bc, bd, be) → new_addToFM_C10(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Right(wzz300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C22(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, False, bf, bg, bh) → new_addToFM_C12(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, new_esEs11(new_compare25(Right(wzz37), Right(wzz32), new_esEs32(wzz37, wzz32, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C11(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz34, Right(wzz40), wzz5, bc, bd, be)
new_addToFM_C22(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, True, bf, bg, bh) → new_addToFM_C(wzz35, Right(wzz37), wzz38, bf, bg, bh)
new_addToFM_C(Branch(Right(wzz300), wzz31, wzz32, wzz33, wzz34), Right(wzz40), wzz5, bc, bd, be) → new_addToFM_C22(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Right(wzz300), new_esEs31(wzz40, wzz300, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C10(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz34, Left(wzz40), wzz5, bc, bd, be)
new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, False, bc, bd, be) → new_addToFM_C11(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Left(wzz300), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Maybe, cfg)) → new_esEs4(wzz400, wzz3000, cfg)
new_esEs22(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, app(app(ty_Either, bhc), bhd)) → new_esEs5(wzz400, wzz3000, bhc, bhd)
new_ltEs11(LT, GT) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_[], cfa)) → new_esEs16(wzz48000, wzz49000, cfa)
new_esEs23(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_compare25(Right(wzz4800), Right(wzz4900), False, cba, cbb) → new_compare11(wzz4800, wzz4900, new_ltEs20(wzz4800, wzz4900, cbb), cba, cbb)
new_ltEs10(wzz4800, wzz4900) → new_fsEs(new_compare16(wzz4800, wzz4900))
new_esEs23(wzz401, wzz3001, app(app(ty_Either, bga), bgb)) → new_esEs5(wzz401, wzz3001, bga, bgb)
new_esEs29(wzz20, wzz15, ty_@0) → new_esEs13(wzz20, wzz15)
new_lt20(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_compare([], :(wzz49000, wzz49001), cbf) → LT
new_compare25(Right(wzz4800), Left(wzz4900), False, cba, cbb) → GT
new_compare10(wzz48000, wzz49000, True, gd, ge) → LT
new_esEs9(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs4(Just(wzz400), Nothing, cad) → False
new_esEs4(Nothing, Just(wzz3000), cad) → False
new_esEs24(wzz400, wzz3000, app(ty_Maybe, bhb)) → new_esEs4(wzz400, wzz3000, bhb)
new_lt20(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Ratio, cge)) → new_esEs14(wzz400, wzz3000, cge)
new_ltEs21(wzz48001, wzz49001, ty_Bool) → new_ltEs9(wzz48001, wzz49001)
new_lt20(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_lt12(wzz48000, wzz49000, cee)
new_esEs9(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_lt8(wzz480, wzz490) → new_esEs11(new_compare16(wzz480, wzz490), LT)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, baa), bab), bac)) → new_ltEs17(wzz48000, wzz49000, baa, bab, bac)
new_lt7(wzz48000, wzz49000) → new_esEs11(new_compare18(wzz48000, wzz49000), LT)
new_esEs22(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs11(EQ, EQ) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Char, cbe) → new_ltEs5(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Char) → new_esEs12(wzz400, wzz3000)
new_compare31(wzz48000, wzz49000, ty_Double) → new_compare29(wzz48000, wzz49000)
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Integer) → new_compare7(new_sr0(wzz48000, wzz49001), new_sr0(wzz49000, wzz48001))
new_primMulNat0(Zero, Zero) → Zero
new_esEs10(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs17(Double(wzz400, wzz401), Double(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs28(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_compare(:(wzz48000, wzz48001), [], cbf) → GT
new_ltEs20(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Ratio, dcc), caf) → new_esEs14(wzz400, wzz3000, dcc)
new_lt20(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, ty_Double) → new_esEs17(wzz402, wzz3002)
new_ltEs20(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, cgb), cgc), cgd)) → new_esEs6(wzz400, wzz3000, cgb, cgc, cgd)
new_esEs30(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_compare31(wzz48000, wzz49000, app(app(ty_@2, dbc), dbd)) → new_compare6(wzz48000, wzz49000, dbc, dbd)
new_esEs31(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_lt20(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_ltEs21(wzz48001, wzz49001, app(app(app(ty_@3, cdh), cea), ceb)) → new_ltEs17(wzz48001, wzz49001, cdh, cea, ceb)
new_esEs32(wzz37, wzz32, ty_Integer) → new_esEs15(wzz37, wzz32)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Char, caf) → new_esEs12(wzz400, wzz3000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_Either, hf), hg)) → new_ltEs13(wzz48000, wzz49000, hf, hg)
new_lt20(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_lt18(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_ltEs9(True, False) → False
new_ltEs18(wzz48002, wzz49002, ty_Integer) → new_ltEs6(wzz48002, wzz49002)
new_esEs23(wzz401, wzz3001, app(ty_Maybe, bfh)) → new_esEs4(wzz401, wzz3001, bfh)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Char) → new_esEs12(wzz400, wzz3000)
new_lt10(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_lt12(wzz48000, wzz49000, beg)
new_compare5(Char(wzz48000), Char(wzz49000)) → new_primCmpNat0(wzz48000, wzz49000)
new_lt18(wzz48000, wzz49000, bfa, bfb, bfc) → new_esEs11(new_compare30(wzz48000, wzz49000, bfa, bfb, bfc), LT)
new_esEs23(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_compare18(@0, @0) → EQ
new_esEs5(Left(wzz400), Left(wzz3000), ty_Integer, caf) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Int) → new_esEs20(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_esEs10(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs32(wzz37, wzz32, ty_@0) → new_esEs13(wzz37, wzz32)
new_esEs22(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_esEs14(wzz48000, wzz49000, beg)
new_esEs21(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_esEs14(wzz48001, wzz49001, bde)
new_compare31(wzz48000, wzz49000, app(app(app(ty_@3, dah), dba), dbb)) → new_compare30(wzz48000, wzz49000, dah, dba, dbb)
new_esEs15(Integer(wzz400), Integer(wzz3000)) → new_primEqInt(wzz400, wzz3000)
new_ltEs21(wzz48001, wzz49001, app(app(ty_@2, cec), ced)) → new_ltEs4(wzz48001, wzz49001, cec, ced)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Int) → new_esEs20(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Maybe, dfd)) → new_ltEs7(wzz48000, wzz49000, dfd)
new_esEs29(wzz20, wzz15, ty_Float) → new_esEs18(wzz20, wzz15)
new_compare9(wzz48000, wzz49000) → new_compare28(wzz48000, wzz49000, new_esEs19(wzz48000, wzz49000))
new_ltEs19(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_esEs29(wzz20, wzz15, ty_Integer) → new_esEs15(wzz20, wzz15)
new_esEs8(wzz402, wzz3002, ty_Ordering) → new_esEs11(wzz402, wzz3002)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bad), bae)) → new_ltEs4(wzz48000, wzz49000, bad, bae)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs6(wzz400, wzz3000, ddb, ddc, ddd)
new_ltEs20(wzz4800, wzz4900, app(app(ty_Either, ccc), ccd)) → new_ltEs13(wzz4800, wzz4900, ccc, ccd)
new_pePe(False, wzz210) → wzz210
new_esEs24(wzz400, wzz3000, app(ty_Ratio, bhh)) → new_esEs14(wzz400, wzz3000, bhh)
new_esEs25(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_esEs7(wzz48000, wzz49000, cfe, cff)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, def), deg), deh), cbe) → new_ltEs17(wzz48000, wzz49000, def, deg, deh)
new_esEs31(wzz40, wzz300, app(ty_[], dhf)) → new_esEs16(wzz40, wzz300, dhf)
new_compare25(Left(wzz4800), Right(wzz4900), False, cba, cbb) → LT
new_compare210(wzz48000, wzz49000, False) → new_compare13(wzz48000, wzz49000, new_ltEs11(wzz48000, wzz49000))
new_esEs8(wzz402, wzz3002, ty_Int) → new_esEs20(wzz402, wzz3002)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Bool) → new_esEs19(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, app(app(ty_@2, cbg), cbh)) → new_ltEs4(wzz4800, wzz4900, cbg, cbh)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Ordering, caf) → new_esEs11(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs17(wzz48000, wzz49000, dfh, dga, dgb)
new_esEs28(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_esEs9(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_compare19(wzz48000, wzz49000, True) → LT
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Maybe, dbe), caf) → new_esEs4(wzz400, wzz3000, dbe)
new_ltEs8(wzz4800, wzz4900, cbc) → new_fsEs(new_compare15(wzz4800, wzz4900, cbc))
new_esEs32(wzz37, wzz32, app(ty_Maybe, cha)) → new_esEs4(wzz37, wzz32, cha)
new_ltEs20(wzz4800, wzz4900, app(app(ty_@2, cda), cdb)) → new_ltEs4(wzz4800, wzz4900, cda, cdb)
new_lt5(wzz48000, wzz49000) → new_esEs11(new_compare9(wzz48000, wzz49000), LT)
new_primCmpNat0(Zero, Succ(wzz4900)) → LT
new_compare32(wzz48000, wzz49000) → new_compare210(wzz48000, wzz49000, new_esEs11(wzz48000, wzz49000))
new_esEs25(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_esEs5(wzz48000, wzz49000, ceg, ceh)
new_ltEs4(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), cbg, cbh) → new_pePe(new_lt20(wzz48000, wzz49000, cbg), new_asAs(new_esEs25(wzz48000, wzz49000, cbg), new_ltEs21(wzz48001, wzz49001, cbh)))
new_esEs30(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs25(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs11(GT, GT) → True
new_esEs9(wzz401, wzz3001, app(ty_Ratio, ee)) → new_esEs14(wzz401, wzz3001, ee)
new_esEs29(wzz20, wzz15, app(app(ty_@2, bbe), bbf)) → new_esEs7(wzz20, wzz15, bbe, bbf)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_lt19(wzz48000, wzz49000, cfe, cff)
new_esEs29(wzz20, wzz15, ty_Ordering) → new_esEs11(wzz20, wzz15)
new_lt9(wzz48001, wzz49001, ty_Char) → new_lt11(wzz48001, wzz49001)
new_pePe(True, wzz210) → True
new_primEqNat0(Zero, Zero) → True
new_lt20(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_lt6(wzz48000, wzz49000, cef)
new_lt19(wzz48000, wzz49000, gd, ge) → new_esEs11(new_compare6(wzz48000, wzz49000, gd, ge), LT)
new_lt15(wzz48000, wzz49000, ha, hb) → new_esEs11(new_compare8(wzz48000, wzz49000, ha, hb), LT)
new_compare111(wzz183, wzz184, False, bfd, bfe) → GT
new_lt9(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_lt18(wzz48001, wzz49001, beb, bec, bed)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Float) → new_esEs18(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, ty_Int) → new_lt8(wzz48001, wzz49001)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_[], dfg)) → new_ltEs14(wzz48000, wzz49000, dfg)
new_esEs22(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_esEs7(wzz48000, wzz49000, gd, ge)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_esEs19(True, True) → True
new_lt12(wzz48000, wzz49000, beg) → new_esEs11(new_compare15(wzz48000, wzz49000, beg), LT)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_compare(:(wzz48000, wzz48001), :(wzz49000, wzz49001), cbf) → new_primCompAux1(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, cbf), cbf)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Ordering, cbe) → new_ltEs11(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_compare12(wzz48000, wzz49000, False, gh) → GT
new_sr(wzz401, wzz3001) → new_primMulInt(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Int) → new_ltEs10(wzz48002, wzz49002)
new_lt4(wzz48000, wzz49000) → new_esEs11(new_compare7(wzz48000, wzz49000), LT)
new_esEs32(wzz37, wzz32, app(app(ty_@2, chh), daa)) → new_esEs7(wzz37, wzz32, chh, daa)
new_esEs30(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_esEs7(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bff, bfg) → new_asAs(new_esEs24(wzz400, wzz3000, bff), new_esEs23(wzz401, wzz3001, bfg))
new_esEs9(wzz401, wzz3001, app(ty_[], eh)) → new_esEs16(wzz401, wzz3001, eh)
new_esEs24(wzz400, wzz3000, app(app(ty_@2, caa), cab)) → new_esEs7(wzz400, wzz3000, caa, cab)
new_esEs24(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Ordering) → new_compare32(wzz48000, wzz49000)
new_primPlusNat0(Succ(wzz1420), wzz300100) → Succ(Succ(new_primPlusNat1(wzz1420, wzz300100)))
new_esEs4(Just(wzz400), Just(wzz3000), ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_lt20(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs31(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs32(wzz37, wzz32, ty_Double) → new_esEs17(wzz37, wzz32)
new_lt9(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_lt12(wzz48001, wzz49001, bde)
new_esEs32(wzz37, wzz32, ty_Bool) → new_esEs19(wzz37, wzz32)
new_esEs8(wzz402, wzz3002, ty_Char) → new_esEs12(wzz402, wzz3002)
new_esEs21(wzz48001, wzz49001, ty_Int) → new_esEs20(wzz48001, wzz49001)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_esEs8(wzz402, wzz3002, ty_Float) → new_esEs18(wzz402, wzz3002)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_[], dee), cbe) → new_ltEs14(wzz48000, wzz49000, dee)
new_esEs22(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt10(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_[], dcf), caf) → new_esEs16(wzz400, wzz3000, dcf)
new_esEs30(wzz40, wzz300, app(ty_Maybe, cad)) → new_esEs4(wzz40, wzz300, cad)
new_primPlusNat1(Succ(wzz51200), Zero) → Succ(wzz51200)
new_primPlusNat1(Zero, Succ(wzz13300)) → Succ(wzz13300)
new_esEs24(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_ltEs14(wzz4800, wzz4900, cbf) → new_fsEs(new_compare(wzz4800, wzz4900, cbf))
new_compare13(wzz48000, wzz49000, False) → GT
new_esEs29(wzz20, wzz15, app(app(ty_Either, bag), bah)) → new_esEs5(wzz20, wzz15, bag, bah)
new_esEs21(wzz48001, wzz49001, ty_Char) → new_esEs12(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, app(ty_Maybe, dhg)) → new_esEs4(wzz400, wzz3000, dhg)
new_esEs6(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ca, cb, cc) → new_asAs(new_esEs10(wzz400, wzz3000, ca), new_asAs(new_esEs9(wzz401, wzz3001, cb), new_esEs8(wzz402, wzz3002, cc)))
new_compare31(wzz48000, wzz49000, ty_Integer) → new_compare7(wzz48000, wzz49000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs31(wzz40, wzz300, app(app(app(ty_@3, dgh), dha), dhb)) → new_esEs6(wzz40, wzz300, dgh, dha, dhb)
new_lt9(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_lt6(wzz48001, wzz49001, bdf)
new_esEs19(False, False) → True
new_ltEs19(wzz4800, wzz4900, app(ty_Ratio, cbc)) → new_ltEs8(wzz4800, wzz4900, cbc)
new_esEs24(wzz400, wzz3000, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs6(wzz400, wzz3000, bhe, bhf, bhg)
new_lt9(wzz48001, wzz49001, ty_Float) → new_lt14(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_esEs7(wzz48001, wzz49001, bee, bef)
new_ltEs12(wzz4800, wzz4900) → new_fsEs(new_compare17(wzz4800, wzz4900))
new_ltEs21(wzz48001, wzz49001, app(app(ty_Either, cde), cdf)) → new_ltEs13(wzz48001, wzz49001, cde, cdf)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz30000))) → False
new_compare14(wzz48000, wzz49000, gh) → new_compare26(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, gh), gh)
new_primCompAux0(wzz224, GT) → GT
new_ltEs21(wzz48001, wzz49001, app(ty_[], cdg)) → new_ltEs14(wzz48001, wzz49001, cdg)
new_ltEs21(wzz48001, wzz49001, ty_Int) → new_ltEs10(wzz48001, wzz49001)
new_esEs4(Just(wzz400), Just(wzz3000), ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs14(:%(wzz400, wzz401), :%(wzz3000, wzz3001), cag) → new_asAs(new_esEs27(wzz400, wzz3000, cag), new_esEs26(wzz401, wzz3001, cag))
new_lt20(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, app(ty_[], dab)) → new_esEs16(wzz37, wzz32, dab)
new_compare24(wzz48000, wzz49000, True, gd, ge) → EQ
new_esEs31(wzz40, wzz300, app(app(ty_Either, dgf), dgg)) → new_esEs5(wzz40, wzz300, dgf, dgg)
new_esEs29(wzz20, wzz15, app(ty_[], bbg)) → new_esEs16(wzz20, wzz15, bbg)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Ratio, dde)) → new_esEs14(wzz400, wzz3000, dde)
new_compare([], [], cbf) → EQ
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Double, cbe) → new_ltEs16(wzz48000, wzz49000)
new_ltEs18(wzz48002, wzz49002, ty_Double) → new_ltEs16(wzz48002, wzz49002)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_lt20(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Ratio, dea), cbe) → new_ltEs8(wzz48000, wzz49000, dea)
new_esEs24(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, app(app(ty_@2, eaf), eag)) → new_esEs7(wzz400, wzz3000, eaf, eag)
new_primCmpNat0(Succ(wzz4800), Succ(wzz4900)) → new_primCmpNat0(wzz4800, wzz4900)
new_esEs22(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_esEs4(wzz48000, wzz49000, gh)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_esEs4(wzz48000, wzz49000, cef)
new_ltEs18(wzz48002, wzz49002, app(app(ty_Either, bce), bcf)) → new_ltEs13(wzz48002, wzz49002, bce, bcf)
new_lt10(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_esEs10(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_compare10(wzz48000, wzz49000, False, gd, ge) → GT
new_esEs30(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs9(wzz401, wzz3001, app(app(ty_@2, ef), eg)) → new_esEs7(wzz401, wzz3001, ef, eg)
new_lt9(wzz48001, wzz49001, app(ty_[], bea)) → new_lt16(wzz48001, wzz49001, bea)
new_ltEs7(Nothing, Just(wzz49000), hc) → True
new_esEs26(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_Either, dch), dda)) → new_esEs5(wzz400, wzz3000, dch, dda)
new_primEqNat0(Succ(wzz4000), Succ(wzz30000)) → new_primEqNat0(wzz4000, wzz30000)
new_compare31(wzz48000, wzz49000, ty_Float) → new_compare17(wzz48000, wzz49000)
new_esEs23(wzz401, wzz3001, app(ty_Ratio, bgf)) → new_esEs14(wzz401, wzz3001, bgf)
new_compare28(wzz48000, wzz49000, False) → new_compare19(wzz48000, wzz49000, new_ltEs9(wzz48000, wzz49000))
new_ltEs21(wzz48001, wzz49001, ty_Ordering) → new_ltEs11(wzz48001, wzz49001)
new_ltEs19(wzz4800, wzz4900, app(app(ty_Either, cbd), cbe)) → new_ltEs13(wzz4800, wzz4900, cbd, cbe)
new_esEs26(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs31(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_ltEs20(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_[], cbf)) → new_ltEs14(wzz4800, wzz4900, cbf)
new_lt16(wzz48000, wzz49000, beh) → new_esEs11(new_compare(wzz48000, wzz49000, beh), LT)
new_ltEs18(wzz48002, wzz49002, app(ty_[], bcg)) → new_ltEs14(wzz48002, wzz49002, bcg)
new_primCmpInt(Neg(Succ(wzz4800)), Neg(wzz490)) → new_primCmpNat0(wzz490, Succ(wzz4800))
new_esEs10(wzz400, wzz3000, app(app(ty_@2, ga), gb)) → new_esEs7(wzz400, wzz3000, ga, gb)
new_esEs30(wzz40, wzz300, app(ty_Ratio, cag)) → new_esEs14(wzz40, wzz300, cag)
new_esEs8(wzz402, wzz3002, app(app(ty_@2, dd), de)) → new_esEs7(wzz402, wzz3002, dd, de)
new_ltEs21(wzz48001, wzz49001, app(ty_Ratio, cdc)) → new_ltEs8(wzz48001, wzz49001, cdc)
new_compare24(wzz48000, wzz49000, False, gd, ge) → new_compare10(wzz48000, wzz49000, new_ltEs4(wzz48000, wzz49000, gd, ge), gd, ge)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz30000))) → False
new_esEs22(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, ty_Bool) → new_esEs19(wzz48001, wzz49001)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(wzz4800), Zero) → GT
new_lt10(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_lt6(wzz48000, wzz49000, gh)
new_lt20(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt9(wzz48001, wzz49001, ty_Double) → new_lt17(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_@0) → new_esEs13(wzz48001, wzz49001)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz4900))) → LT
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_Either, cfh), cga)) → new_esEs5(wzz400, wzz3000, cfh, cga)
new_compare19(wzz48000, wzz49000, False) → GT
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_compare11(wzz190, wzz191, True, gf, gg) → LT
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_compare13(wzz48000, wzz49000, True) → LT
new_sr0(Integer(wzz480000), Integer(wzz490010)) → Integer(new_primMulInt(wzz480000, wzz490010))
new_primPlusNat1(Succ(wzz51200), Succ(wzz13300)) → Succ(Succ(new_primPlusNat1(wzz51200, wzz13300)))
new_compare12(wzz48000, wzz49000, True, gh) → LT
new_ltEs20(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_esEs21(wzz48001, wzz49001, ty_Double) → new_esEs17(wzz48001, wzz49001)
new_ltEs20(wzz4800, wzz4900, app(ty_[], cce)) → new_ltEs14(wzz4800, wzz4900, cce)
new_ltEs19(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_primEqInt(Pos(Succ(wzz4000)), Neg(wzz3000)) → False
new_primEqInt(Neg(Succ(wzz4000)), Pos(wzz3000)) → False
new_esEs28(wzz400, wzz3000, app(app(ty_Either, dhh), eaa)) → new_esEs5(wzz400, wzz3000, dhh, eaa)
new_esEs25(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs8(wzz402, wzz3002, app(app(ty_Either, ce), cf)) → new_esEs5(wzz402, wzz3002, ce, cf)
new_esEs32(wzz37, wzz32, app(app(ty_Either, chb), chc)) → new_esEs5(wzz37, wzz32, chb, chc)
new_esEs32(wzz37, wzz32, app(ty_Ratio, chg)) → new_esEs14(wzz37, wzz32, chg)
new_ltEs19(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_esEs25(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, app(app(ty_Either, dh), ea)) → new_esEs5(wzz401, wzz3001, dh, ea)
new_ltEs11(GT, LT) → False
new_esEs24(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_primEqInt(Pos(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz30000))) → False
new_esEs13(@0, @0) → True
new_esEs21(wzz48001, wzz49001, ty_Integer) → new_esEs15(wzz48001, wzz49001)
new_esEs31(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_primCmpInt(Pos(Zero), Pos(Succ(wzz4900))) → new_primCmpNat0(Zero, Succ(wzz4900))
new_esEs23(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs21(wzz48001, wzz49001, ty_Ordering) → new_esEs11(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Ratio, hd)) → new_ltEs8(wzz48000, wzz49000, hd)
new_esEs31(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_esEs23(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_lt17(wzz48000, wzz49000) → new_esEs11(new_compare29(wzz48000, wzz49000), LT)
new_esEs22(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Double, caf) → new_esEs17(wzz400, wzz3000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Float, cbe) → new_ltEs12(wzz48000, wzz49000)
new_ltEs11(LT, EQ) → True
new_ltEs18(wzz48002, wzz49002, ty_@0) → new_ltEs15(wzz48002, wzz49002)
new_esEs10(wzz400, wzz3000, app(ty_[], gc)) → new_esEs16(wzz400, wzz3000, gc)
new_lt9(wzz48001, wzz49001, ty_Bool) → new_lt5(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, app(ty_Ratio, eae)) → new_esEs14(wzz400, wzz3000, eae)
new_esEs22(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_ltEs11(LT, LT) → True
new_compare26(wzz48000, wzz49000, True, gh) → EQ
new_primCompAux0(wzz224, LT) → LT
new_esEs12(Char(wzz400), Char(wzz3000)) → new_primEqNat0(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, app(app(app(ty_@3, cg), da), db)) → new_esEs6(wzz402, wzz3002, cg, da, db)
new_ltEs18(wzz48002, wzz49002, app(ty_Ratio, bcc)) → new_ltEs8(wzz48002, wzz49002, bcc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_@0, caf) → new_esEs13(wzz400, wzz3000)
new_not(False) → True
new_ltEs21(wzz48001, wzz49001, ty_Double) → new_ltEs16(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_compare8(wzz48000, wzz49000, ha, hb) → new_compare25(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, ha, hb), ha, hb)
new_ltEs20(wzz4800, wzz4900, app(app(app(ty_@3, ccf), ccg), cch)) → new_ltEs17(wzz4800, wzz4900, ccf, ccg, cch)
new_esEs28(wzz400, wzz3000, app(ty_[], eah)) → new_esEs16(wzz400, wzz3000, eah)
new_ltEs5(wzz4800, wzz4900) → new_fsEs(new_compare5(wzz4800, wzz4900))
new_primCmpInt(Pos(Succ(wzz4800)), Pos(wzz490)) → new_primCmpNat0(Succ(wzz4800), wzz490)
new_primPlusNat0(Zero, wzz300100) → Succ(wzz300100)
new_esEs30(wzz40, wzz300, app(app(ty_@2, bff), bfg)) → new_esEs7(wzz40, wzz300, bff, bfg)
new_compare31(wzz48000, wzz49000, app(app(ty_Either, dae), daf)) → new_compare8(wzz48000, wzz49000, dae, daf)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs11(LT, GT) → False
new_esEs11(GT, LT) → False
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Integer, cbe) → new_ltEs6(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, ty_Char) → new_esEs12(wzz37, wzz32)
new_esEs25(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs23(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs31(wzz40, wzz300, app(ty_Ratio, dhc)) → new_esEs14(wzz40, wzz300, dhc)
new_esEs25(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs11(LT, EQ) → False
new_esEs11(EQ, LT) → False
new_compare31(wzz48000, wzz49000, ty_@0) → new_compare18(wzz48000, wzz49000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Double) → new_esEs17(wzz400, wzz3000)
new_ltEs18(wzz48002, wzz49002, app(ty_Maybe, bcd)) → new_ltEs7(wzz48002, wzz49002, bcd)
new_compare28(wzz48000, wzz49000, True) → EQ
new_ltEs11(GT, GT) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_@0, cbe) → new_ltEs15(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Bool, caf) → new_esEs19(wzz400, wzz3000)
new_esEs32(wzz37, wzz32, ty_Float) → new_esEs18(wzz37, wzz32)
new_compare11(wzz190, wzz191, False, gf, gg) → GT
new_primCmpInt(Pos(Succ(wzz4800)), Neg(wzz490)) → GT
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Maybe, he)) → new_ltEs7(wzz48000, wzz49000, he)
new_esEs24(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs9(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Ordering) → new_ltEs11(wzz48002, wzz49002)
new_compare26(wzz48000, wzz49000, False, gh) → new_compare12(wzz48000, wzz49000, new_ltEs7(wzz48000, wzz49000, gh), gh)
new_esEs22(wzz48000, wzz49000, app(ty_[], beh)) → new_esEs16(wzz48000, wzz49000, beh)
new_esEs20(wzz40, wzz300) → new_primEqInt(wzz40, wzz300)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_@2, dfa), dfb), cbe) → new_ltEs4(wzz48000, wzz49000, dfa, dfb)
new_primMulInt(Pos(wzz4010), Pos(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Float) → new_esEs18(wzz400, wzz3000)
new_ltEs20(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs9(True, True) → True
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_[], ddh)) → new_esEs16(wzz400, wzz3000, ddh)
new_esEs5(Left(wzz400), Right(wzz3000), cae, caf) → False
new_esEs5(Right(wzz400), Left(wzz3000), cae, caf) → False
new_primMulInt(Neg(wzz4010), Neg(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_primEqNat0(Zero, Succ(wzz30000)) → False
new_primEqNat0(Succ(wzz4000), Zero) → False
new_esEs10(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_compare25(wzz480, wzz490, True, cba, cbb) → EQ
new_ltEs18(wzz48002, wzz49002, app(app(app(ty_@3, bch), bda), bdb)) → new_ltEs17(wzz48002, wzz49002, bch, bda, bdb)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_ltEs9(False, False) → True
new_esEs28(wzz400, wzz3000, app(app(app(ty_@3, eab), eac), ead)) → new_esEs6(wzz400, wzz3000, eab, eac, ead)
new_esEs4(Nothing, Nothing, cad) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Int, cbe) → new_ltEs10(wzz48000, wzz49000)
new_fsEs(wzz193) → new_not(new_esEs11(wzz193, GT))
new_compare210(wzz48000, wzz49000, True) → EQ
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_esEs16(:(wzz400, wzz401), [], cah) → False
new_esEs16([], :(wzz3000, wzz3001), cah) → False
new_ltEs19(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs18(wzz48002, wzz49002, ty_Bool) → new_ltEs9(wzz48002, wzz49002)
new_ltEs21(wzz48001, wzz49001, ty_Char) → new_ltEs5(wzz48001, wzz49001)
new_ltEs7(Nothing, Nothing, hc) → True
new_ltEs20(wzz4800, wzz4900, app(ty_Ratio, cca)) → new_ltEs8(wzz4800, wzz4900, cca)
new_ltEs16(wzz4800, wzz4900) → new_fsEs(new_compare29(wzz4800, wzz4900))
new_primCmpInt(Neg(Zero), Neg(Succ(wzz4900))) → new_primCmpNat0(Succ(wzz4900), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz4900))) → GT
new_compare29(Double(wzz48000, wzz48001), Double(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Maybe, deb), cbe) → new_ltEs7(wzz48000, wzz49000, deb)
new_esEs16(:(wzz400, wzz401), :(wzz3000, wzz3001), cah) → new_asAs(new_esEs28(wzz400, wzz3000, cah), new_esEs16(wzz401, wzz3001, cah))
new_esEs29(wzz20, wzz15, ty_Bool) → new_esEs19(wzz20, wzz15)
new_esEs25(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_esEs14(wzz48000, wzz49000, cee)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_[], cgh)) → new_esEs16(wzz400, wzz3000, cgh)
new_compare31(wzz48000, wzz49000, app(ty_[], dag)) → new_compare(wzz48000, wzz49000, dag)
new_ltEs18(wzz48002, wzz49002, ty_Float) → new_ltEs12(wzz48002, wzz49002)
new_ltEs21(wzz48001, wzz49001, ty_Integer) → new_ltEs6(wzz48001, wzz49001)
new_ltEs20(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_Either, dec), ded), cbe) → new_ltEs13(wzz48000, wzz49000, dec, ded)
new_esEs30(wzz40, wzz300, app(ty_[], cah)) → new_esEs16(wzz40, wzz300, cah)
new_esEs21(wzz48001, wzz49001, ty_Float) → new_esEs18(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_lt13(wzz48000, wzz49000) → new_esEs11(new_compare32(wzz48000, wzz49000), LT)
new_compare31(wzz48000, wzz49000, ty_Bool) → new_compare9(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_esEs4(wzz48001, wzz49001, bdf)
new_ltEs11(EQ, EQ) → True
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_Either, dfe), dff)) → new_ltEs13(wzz48000, wzz49000, dfe, dff)
new_lt20(wzz48000, wzz49000, app(ty_[], cfa)) → new_lt16(wzz48000, wzz49000, cfa)
new_esEs8(wzz402, wzz3002, ty_Bool) → new_esEs19(wzz402, wzz3002)
new_compare31(wzz48000, wzz49000, ty_Int) → new_compare16(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_@2, dcd), dce), caf) → new_esEs7(wzz400, wzz3000, dcd, dce)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCompAux1(wzz48000, wzz49000, wzz211, cbf) → new_primCompAux0(wzz211, new_compare31(wzz48000, wzz49000, cbf))
new_lt9(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_lt19(wzz48001, wzz49001, bee, bef)
new_esEs10(wzz400, wzz3000, app(app(ty_Either, fb), fc)) → new_esEs5(wzz400, wzz3000, fb, fc)
new_compare31(wzz48000, wzz49000, ty_Char) → new_compare5(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_lt19(wzz48000, wzz49000, gd, ge)
new_lt9(wzz48001, wzz49001, ty_Ordering) → new_lt13(wzz48001, wzz49001)
new_asAs(False, wzz178) → False
new_ltEs20(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_esEs10(wzz400, wzz3000, app(app(app(ty_@3, fd), ff), fg)) → new_esEs6(wzz400, wzz3000, fd, ff, fg)
new_primMulInt(Pos(wzz4010), Neg(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Pos(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_compare16(wzz48, wzz49) → new_primCmpInt(wzz48, wzz49)
new_esEs29(wzz20, wzz15, ty_Char) → new_esEs12(wzz20, wzz15)
new_primMulNat0(Succ(wzz40100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz300100)) → Zero
new_ltEs13(Left(wzz48000), Right(wzz49000), cbd, cbe) → True
new_esEs32(wzz37, wzz32, ty_Ordering) → new_esEs11(wzz37, wzz32)
new_esEs21(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_esEs5(wzz48001, wzz49001, bdg, bdh)
new_esEs23(wzz401, wzz3001, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs6(wzz401, wzz3001, bgc, bgd, bge)
new_ltEs11(EQ, LT) → False
new_esEs9(wzz401, wzz3001, app(ty_Maybe, dg)) → new_esEs4(wzz401, wzz3001, dg)
new_esEs8(wzz402, wzz3002, app(ty_[], df)) → new_esEs16(wzz402, wzz3002, df)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Ratio, dfc)) → new_ltEs8(wzz48000, wzz49000, dfc)
new_esEs28(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dbh), dca), dcb), caf) → new_esEs6(wzz400, wzz3000, dbh, dca, dcb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, app(ty_[], cac)) → new_esEs16(wzz400, wzz3000, cac)
new_esEs23(wzz401, wzz3001, app(app(ty_@2, bgg), bgh)) → new_esEs7(wzz401, wzz3001, bgg, bgh)
new_esEs29(wzz20, wzz15, ty_Double) → new_esEs17(wzz20, wzz15)
new_esEs31(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_lt14(wzz48000, wzz49000) → new_esEs11(new_compare17(wzz48000, wzz49000), LT)
new_compare31(wzz48000, wzz49000, app(ty_Ratio, dac)) → new_compare15(wzz48000, wzz49000, dac)
new_compare110(wzz48000, wzz49000, True, bfa, bfb, bfc) → LT
new_esEs31(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_esEs8(wzz402, wzz3002, ty_Integer) → new_esEs15(wzz402, wzz3002)
new_lt10(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_esEs28(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Char) → new_ltEs5(wzz48002, wzz49002)
new_compare31(wzz48000, wzz49000, app(ty_Maybe, dad)) → new_compare14(wzz48000, wzz49000, dad)
new_esEs25(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_esEs6(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_ltEs9(False, True) → True
new_compare27(wzz48000, wzz49000, False, bfa, bfb, bfc) → new_compare110(wzz48000, wzz49000, new_ltEs17(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_esEs23(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs30(wzz40, wzz300, app(app(ty_Either, cae), caf)) → new_esEs5(wzz40, wzz300, cae, caf)
new_esEs10(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Int) → new_compare16(new_sr(wzz48000, wzz49001), new_sr(wzz49000, wzz48001))
new_ltEs13(Right(wzz48000), Left(wzz49000), cbd, cbe) → False
new_esEs24(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, ty_Integer) → new_lt4(wzz48001, wzz49001)
new_compare25(Left(wzz4800), Left(wzz4900), False, cba, cbb) → new_compare111(wzz4800, wzz4900, new_ltEs19(wzz4800, wzz4900, cba), cba, cbb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_@2, dgc), dgd)) → new_ltEs4(wzz48000, wzz49000, dgc, dgd)
new_lt10(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, app(app(app(ty_@3, chd), che), chf)) → new_esEs6(wzz37, wzz32, chd, che, chf)
new_lt11(wzz48000, wzz49000) → new_esEs11(new_compare5(wzz48000, wzz49000), LT)
new_ltEs7(Just(wzz48000), Nothing, hc) → False
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Maybe, dcg)) → new_esEs4(wzz400, wzz3000, dcg)
new_esEs8(wzz402, wzz3002, app(ty_Ratio, dc)) → new_esEs14(wzz402, wzz3002, dc)
new_esEs16([], [], cah) → True
new_ltEs20(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_esEs29(wzz20, wzz15, ty_Int) → new_esEs20(wzz20, wzz15)
new_ltEs21(wzz48001, wzz49001, ty_@0) → new_ltEs15(wzz48001, wzz49001)
new_esEs8(wzz402, wzz3002, app(ty_Maybe, cd)) → new_esEs4(wzz402, wzz3002, cd)
new_compare30(wzz48000, wzz49000, bfa, bfb, bfc) → new_compare27(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_esEs27(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_compare7(Integer(wzz48000), Integer(wzz49000)) → new_primCmpInt(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_lt15(wzz48000, wzz49000, ceg, ceh)
new_lt10(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, app(ty_Maybe, dge)) → new_esEs4(wzz40, wzz300, dge)
new_ltEs19(wzz4800, wzz4900, app(ty_Maybe, hc)) → new_ltEs7(wzz4800, wzz4900, hc)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_Either, dbf), dbg), caf) → new_esEs5(wzz400, wzz3000, dbf, dbg)
new_ltEs21(wzz48001, wzz49001, app(ty_Maybe, cdd)) → new_ltEs7(wzz48001, wzz49001, cdd)
new_ltEs19(wzz4800, wzz4900, app(app(app(ty_@3, bbh), bca), bcb)) → new_ltEs17(wzz4800, wzz4900, bbh, bca, bcb)
new_esEs29(wzz20, wzz15, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs6(wzz20, wzz15, bba, bbb, bbc)
new_compare6(wzz48000, wzz49000, gd, ge) → new_compare24(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, gd, ge), gd, ge)
new_esEs30(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_lt10(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt18(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt6(wzz48000, wzz49000, gh) → new_esEs11(new_compare14(wzz48000, wzz49000, gh), LT)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_@2, cgf), cgg)) → new_esEs7(wzz400, wzz3000, cgf, cgg)
new_esEs18(Float(wzz400, wzz401), Float(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_lt10(wzz48000, wzz49000, app(ty_[], beh)) → new_lt16(wzz48000, wzz49000, beh)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_[], hh)) → new_ltEs14(wzz48000, wzz49000, hh)
new_esEs10(wzz400, wzz3000, app(ty_Ratio, fh)) → new_esEs14(wzz400, wzz3000, fh)
new_ltEs21(wzz48001, wzz49001, ty_Float) → new_ltEs12(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_@2, ddf), ddg)) → new_esEs7(wzz400, wzz3000, ddf, ddg)
new_esEs23(wzz401, wzz3001, app(ty_[], bha)) → new_esEs16(wzz401, wzz3001, bha)
new_esEs9(wzz401, wzz3001, app(app(app(ty_@3, eb), ec), ed)) → new_esEs6(wzz401, wzz3001, eb, ec, ed)
new_esEs22(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_compare111(wzz183, wzz184, True, bfd, bfe) → LT
new_compare17(Float(wzz48000, wzz48001), Float(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_primPlusNat1(Zero, Zero) → Zero
new_lt9(wzz48001, wzz49001, ty_@0) → new_lt7(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_esEs6(wzz48001, wzz49001, beb, bec, bed)
new_lt10(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_asAs(True, wzz178) → wzz178
new_primMulNat0(Succ(wzz40100), Succ(wzz300100)) → new_primPlusNat0(new_primMulNat0(wzz40100, Succ(wzz300100)), wzz300100)
new_ltEs19(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_esEs11(LT, LT) → True
new_esEs5(Left(wzz400), Left(wzz3000), ty_Int, caf) → new_esEs20(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, ty_@0) → new_esEs13(wzz402, wzz3002)
new_esEs9(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Integer) → new_esEs15(wzz400, wzz3000)
new_compare27(wzz48000, wzz49000, True, bfa, bfb, bfc) → EQ
new_ltEs19(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs6(wzz4800, wzz4900) → new_fsEs(new_compare7(wzz4800, wzz4900))
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Bool, cbe) → new_ltEs9(wzz48000, wzz49000)
new_esEs29(wzz20, wzz15, app(ty_Ratio, bbd)) → new_esEs14(wzz20, wzz15, bbd)
new_ltEs18(wzz48002, wzz49002, app(app(ty_@2, bdc), bdd)) → new_ltEs4(wzz48002, wzz49002, bdc, bdd)
new_esEs29(wzz20, wzz15, app(ty_Maybe, baf)) → new_esEs4(wzz20, wzz15, baf)
new_esEs32(wzz37, wzz32, ty_Int) → new_esEs20(wzz37, wzz32)
new_lt9(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_lt15(wzz48001, wzz49001, bdg, bdh)
new_esEs11(EQ, GT) → False
new_esEs11(GT, EQ) → False
new_ltEs17(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), bbh, bca, bcb) → new_pePe(new_lt10(wzz48000, wzz49000, bbh), new_asAs(new_esEs22(wzz48000, wzz49000, bbh), new_pePe(new_lt9(wzz48001, wzz49001, bca), new_asAs(new_esEs21(wzz48001, wzz49001, bca), new_ltEs18(wzz48002, wzz49002, bcb)))))
new_ltEs20(wzz4800, wzz4900, app(ty_Maybe, ccb)) → new_ltEs7(wzz4800, wzz4900, ccb)
new_compare110(wzz48000, wzz49000, False, bfa, bfb, bfc) → GT
new_esEs22(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_esEs5(wzz48000, wzz49000, ha, hb)
new_esEs30(wzz40, wzz300, app(app(app(ty_@3, ca), cb), cc)) → new_esEs6(wzz40, wzz300, ca, cb, cc)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, app(ty_[], bea)) → new_esEs16(wzz48001, wzz49001, bea)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(wzz4800, wzz4900) → new_fsEs(new_compare18(wzz4800, wzz4900))
new_primCompAux0(wzz224, EQ) → wzz224
new_ltEs11(EQ, GT) → True
new_lt10(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_lt15(wzz48000, wzz49000, ha, hb)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Float, caf) → new_esEs18(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(ty_Maybe, fa)) → new_esEs4(wzz400, wzz3000, fa)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_lt10(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, app(app(ty_@2, dhd), dhe)) → new_esEs7(wzz40, wzz300, dhd, dhe)
new_esEs27(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_primCmpInt(Neg(Succ(wzz4800)), Pos(wzz490)) → LT
new_not(True) → False

The set Q consists of the following terms:

new_ltEs15(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Double)
new_esEs13(@0, @0)
new_ltEs14(x0, x1, x2)
new_compare111(x0, x1, False, x2, x3)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs11(EQ, GT)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_ltEs11(GT, EQ)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs19(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primCompAux1(x0, x1, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare111(x0, x1, True, x2, x3)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Bool)
new_esEs4(Nothing, Just(x0), x1)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCompAux0(x0, GT)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_ltEs11(EQ, EQ)
new_asAs(False, x0)
new_lt10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_lt14(x0, x1)
new_ltEs16(x0, x1)
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs25(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_sr0(Integer(x0), Integer(x1))
new_lt9(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare11(x0, x1, False, x2, x3)
new_lt6(x0, x1, x2)
new_lt8(x0, x1)
new_sr(x0, x1)
new_lt9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_compare28(x0, x1, False)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Bool)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare7(Integer(x0), Integer(x1))
new_esEs29(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, x2, x3, x4)
new_lt10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_esEs22(x0, x1, ty_@0)
new_lt9(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_compare31(x0, x1, ty_Ordering)
new_lt11(x0, x1)
new_esEs25(x0, x1, ty_Bool)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Zero)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_compare29(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Int)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Int)
new_esEs24(x0, x1, ty_Int)
new_esEs19(True, True)
new_primMulNat0(Succ(x0), Succ(x1))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_lt13(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs11(EQ, GT)
new_esEs11(GT, EQ)
new_esEs24(x0, x1, ty_Bool)
new_esEs8(x0, x1, ty_Bool)
new_compare18(@0, @0)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Double)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:(x0, x1), :(x2, x3), x4)
new_compare25(x0, x1, True, x2, x3)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Ordering)
new_lt10(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Succ(x0), Zero)
new_esEs23(x0, x1, ty_Int)
new_lt9(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Char)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_ltEs18(x0, x1, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_ltEs9(False, False)
new_esEs8(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Zero)
new_esEs28(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare6(x0, x1, x2, x3)
new_compare31(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt10(x0, x1, ty_Double)
new_compare24(x0, x1, False, x2, x3)
new_compare9(x0, x1)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(:(x0, x1), [], x2)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs32(x0, x1, ty_Int)
new_compare13(x0, x1, False)
new_esEs9(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_[], x2))
new_esEs22(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs11(GT, LT)
new_esEs11(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare12(x0, x1, False, x2)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_ltEs8(x0, x1, x2)
new_ltEs18(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_lt17(x0, x1)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs6(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Float)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_ltEs7(Just(x0), Nothing, x1)
new_compare19(x0, x1, True)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare(:(x0, x1), [], x2)
new_esEs26(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(False, True)
new_esEs19(True, False)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs30(x0, x1, ty_Int)
new_esEs11(LT, LT)
new_esEs24(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare31(x0, x1, ty_Int)
new_lt10(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_Float)
new_ltEs9(True, True)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Ordering)
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs31(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Ordering)
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare10(x0, x1, True, x2, x3)
new_esEs21(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare5(Char(x0), Char(x1))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs10(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_compare13(x0, x1, True)
new_compare10(x0, x1, False, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs11(EQ, LT)
new_esEs11(LT, EQ)
new_esEs25(x0, x1, ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs19(False, False)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, True, x2, x3)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_@0)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt10(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Float)
new_lt9(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Float)
new_lt9(x0, x1, ty_Double)
new_lt9(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, ty_Int)
new_lt9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_lt20(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1)
new_compare([], [], x0)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_compare16(x0, x1)
new_esEs21(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Double)
new_esEs22(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs11(LT, LT)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1)
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs11(EQ, LT)
new_pePe(True, x0)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs11(LT, EQ)
new_primMulNat0(Zero, Succ(x0))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_lt9(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs10(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Succ(x0), x1)
new_esEs31(x0, x1, ty_Char)
new_lt18(x0, x1, x2, x3, x4)
new_lt9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_Double)
new_compare(:(x0, x1), :(x2, x3), x4)
new_compare17(Float(x0, x1), Float(x2, x3))
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt10(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Float)
new_esEs23(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Integer)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs11(GT, GT)
new_esEs18(Float(x0, x1), Float(x2, x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_not(True)
new_lt10(x0, x1, ty_Bool)
new_esEs16([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt9(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_lt9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare28(x0, x1, True)
new_fsEs(x0)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Bool)
new_esEs12(Char(x0), Char(x1))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs32(x0, x1, ty_Integer)
new_compare26(x0, x1, True, x2)
new_compare110(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Integer)
new_lt16(x0, x1, x2)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare8(x0, x1, x2, x3)
new_primPlusNat1(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs4(Nothing, Nothing, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs16([], [], x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_lt12(x0, x1, x2)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs28(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare210(x0, x1, False)
new_esEs8(x0, x1, ty_Double)
new_lt10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Nothing, Just(x0), x1)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_compare19(x0, x1, False)
new_lt20(x0, x1, ty_Integer)
new_primCompAux0(x0, EQ)
new_ltEs18(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux0(x0, LT)
new_lt10(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_pePe(False, x0)
new_compare110(x0, x1, True, x2, x3, x4)
new_lt10(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs15(Integer(x0), Integer(x1))
new_compare31(x0, x1, ty_Float)
new_esEs11(EQ, EQ)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare([], :(x0, x1), x2)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_Float)
new_compare32(x0, x1)
new_ltEs19(x0, x1, ty_@0)
new_compare24(x0, x1, True, x2, x3)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare14(x0, x1, x2)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_primPlusNat1(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Ordering)
new_lt15(x0, x1, x2, x3)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs11(GT, GT)

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

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

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

new_addToFM_C22(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, False, bf, bg, bh) → new_addToFM_C12(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, new_esEs11(new_compare25(Right(wzz37), Right(wzz32), new_esEs32(wzz37, wzz32, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C(Branch(Left(wzz300), wzz31, wzz32, wzz33, wzz34), Right(wzz40), wzz5, bc, bd, be) → new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Left(wzz300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C12(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, True, bf, bg, bh) → new_addToFM_C(wzz36, Right(wzz37), wzz38, bf, bg, bh)
new_addToFM_C22(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, True, bf, bg, bh) → new_addToFM_C(wzz35, Right(wzz37), wzz38, bf, bg, bh)
new_addToFM_C(Branch(Right(wzz300), wzz31, wzz32, wzz33, wzz34), Right(wzz40), wzz5, bc, bd, be) → new_addToFM_C22(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Right(wzz300), new_esEs31(wzz40, wzz300, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C11(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz34, Right(wzz40), wzz5, bc, bd, be)
new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz33, Right(wzz40), wzz5, bc, bd, be)
new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, False, bc, bd, be) → new_addToFM_C11(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Left(wzz300), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Maybe, cfg)) → new_esEs4(wzz400, wzz3000, cfg)
new_esEs22(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, app(app(ty_Either, bhc), bhd)) → new_esEs5(wzz400, wzz3000, bhc, bhd)
new_ltEs11(LT, GT) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_[], cfa)) → new_esEs16(wzz48000, wzz49000, cfa)
new_esEs23(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_compare25(Right(wzz4800), Right(wzz4900), False, cba, cbb) → new_compare11(wzz4800, wzz4900, new_ltEs20(wzz4800, wzz4900, cbb), cba, cbb)
new_ltEs10(wzz4800, wzz4900) → new_fsEs(new_compare16(wzz4800, wzz4900))
new_esEs23(wzz401, wzz3001, app(app(ty_Either, bga), bgb)) → new_esEs5(wzz401, wzz3001, bga, bgb)
new_esEs29(wzz20, wzz15, ty_@0) → new_esEs13(wzz20, wzz15)
new_lt20(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_compare([], :(wzz49000, wzz49001), cbf) → LT
new_compare25(Right(wzz4800), Left(wzz4900), False, cba, cbb) → GT
new_compare10(wzz48000, wzz49000, True, gd, ge) → LT
new_esEs9(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs4(Just(wzz400), Nothing, cad) → False
new_esEs4(Nothing, Just(wzz3000), cad) → False
new_esEs24(wzz400, wzz3000, app(ty_Maybe, bhb)) → new_esEs4(wzz400, wzz3000, bhb)
new_lt20(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Ratio, cge)) → new_esEs14(wzz400, wzz3000, cge)
new_ltEs21(wzz48001, wzz49001, ty_Bool) → new_ltEs9(wzz48001, wzz49001)
new_lt20(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_lt12(wzz48000, wzz49000, cee)
new_esEs9(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_lt8(wzz480, wzz490) → new_esEs11(new_compare16(wzz480, wzz490), LT)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, baa), bab), bac)) → new_ltEs17(wzz48000, wzz49000, baa, bab, bac)
new_lt7(wzz48000, wzz49000) → new_esEs11(new_compare18(wzz48000, wzz49000), LT)
new_esEs22(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs11(EQ, EQ) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Char, cbe) → new_ltEs5(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Char) → new_esEs12(wzz400, wzz3000)
new_compare31(wzz48000, wzz49000, ty_Double) → new_compare29(wzz48000, wzz49000)
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Integer) → new_compare7(new_sr0(wzz48000, wzz49001), new_sr0(wzz49000, wzz48001))
new_primMulNat0(Zero, Zero) → Zero
new_esEs10(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs17(Double(wzz400, wzz401), Double(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs28(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_compare(:(wzz48000, wzz48001), [], cbf) → GT
new_ltEs20(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Ratio, dcc), caf) → new_esEs14(wzz400, wzz3000, dcc)
new_lt20(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, ty_Double) → new_esEs17(wzz402, wzz3002)
new_ltEs20(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, cgb), cgc), cgd)) → new_esEs6(wzz400, wzz3000, cgb, cgc, cgd)
new_esEs30(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_compare31(wzz48000, wzz49000, app(app(ty_@2, dbc), dbd)) → new_compare6(wzz48000, wzz49000, dbc, dbd)
new_esEs31(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_lt20(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_ltEs21(wzz48001, wzz49001, app(app(app(ty_@3, cdh), cea), ceb)) → new_ltEs17(wzz48001, wzz49001, cdh, cea, ceb)
new_esEs32(wzz37, wzz32, ty_Integer) → new_esEs15(wzz37, wzz32)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Char, caf) → new_esEs12(wzz400, wzz3000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_Either, hf), hg)) → new_ltEs13(wzz48000, wzz49000, hf, hg)
new_lt20(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_lt18(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_ltEs9(True, False) → False
new_ltEs18(wzz48002, wzz49002, ty_Integer) → new_ltEs6(wzz48002, wzz49002)
new_esEs23(wzz401, wzz3001, app(ty_Maybe, bfh)) → new_esEs4(wzz401, wzz3001, bfh)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Char) → new_esEs12(wzz400, wzz3000)
new_lt10(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_lt12(wzz48000, wzz49000, beg)
new_compare5(Char(wzz48000), Char(wzz49000)) → new_primCmpNat0(wzz48000, wzz49000)
new_lt18(wzz48000, wzz49000, bfa, bfb, bfc) → new_esEs11(new_compare30(wzz48000, wzz49000, bfa, bfb, bfc), LT)
new_esEs23(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_compare18(@0, @0) → EQ
new_esEs5(Left(wzz400), Left(wzz3000), ty_Integer, caf) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Int) → new_esEs20(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_esEs10(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs32(wzz37, wzz32, ty_@0) → new_esEs13(wzz37, wzz32)
new_esEs22(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_esEs14(wzz48000, wzz49000, beg)
new_esEs21(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_esEs14(wzz48001, wzz49001, bde)
new_compare31(wzz48000, wzz49000, app(app(app(ty_@3, dah), dba), dbb)) → new_compare30(wzz48000, wzz49000, dah, dba, dbb)
new_esEs15(Integer(wzz400), Integer(wzz3000)) → new_primEqInt(wzz400, wzz3000)
new_ltEs21(wzz48001, wzz49001, app(app(ty_@2, cec), ced)) → new_ltEs4(wzz48001, wzz49001, cec, ced)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Int) → new_esEs20(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Maybe, dfd)) → new_ltEs7(wzz48000, wzz49000, dfd)
new_esEs29(wzz20, wzz15, ty_Float) → new_esEs18(wzz20, wzz15)
new_compare9(wzz48000, wzz49000) → new_compare28(wzz48000, wzz49000, new_esEs19(wzz48000, wzz49000))
new_ltEs19(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_esEs29(wzz20, wzz15, ty_Integer) → new_esEs15(wzz20, wzz15)
new_esEs8(wzz402, wzz3002, ty_Ordering) → new_esEs11(wzz402, wzz3002)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bad), bae)) → new_ltEs4(wzz48000, wzz49000, bad, bae)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs6(wzz400, wzz3000, ddb, ddc, ddd)
new_ltEs20(wzz4800, wzz4900, app(app(ty_Either, ccc), ccd)) → new_ltEs13(wzz4800, wzz4900, ccc, ccd)
new_pePe(False, wzz210) → wzz210
new_esEs24(wzz400, wzz3000, app(ty_Ratio, bhh)) → new_esEs14(wzz400, wzz3000, bhh)
new_esEs25(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_esEs7(wzz48000, wzz49000, cfe, cff)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, def), deg), deh), cbe) → new_ltEs17(wzz48000, wzz49000, def, deg, deh)
new_esEs31(wzz40, wzz300, app(ty_[], dhf)) → new_esEs16(wzz40, wzz300, dhf)
new_compare25(Left(wzz4800), Right(wzz4900), False, cba, cbb) → LT
new_compare210(wzz48000, wzz49000, False) → new_compare13(wzz48000, wzz49000, new_ltEs11(wzz48000, wzz49000))
new_esEs8(wzz402, wzz3002, ty_Int) → new_esEs20(wzz402, wzz3002)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Bool) → new_esEs19(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, app(app(ty_@2, cbg), cbh)) → new_ltEs4(wzz4800, wzz4900, cbg, cbh)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Ordering, caf) → new_esEs11(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs17(wzz48000, wzz49000, dfh, dga, dgb)
new_esEs28(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_esEs9(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_compare19(wzz48000, wzz49000, True) → LT
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Maybe, dbe), caf) → new_esEs4(wzz400, wzz3000, dbe)
new_ltEs8(wzz4800, wzz4900, cbc) → new_fsEs(new_compare15(wzz4800, wzz4900, cbc))
new_esEs32(wzz37, wzz32, app(ty_Maybe, cha)) → new_esEs4(wzz37, wzz32, cha)
new_ltEs20(wzz4800, wzz4900, app(app(ty_@2, cda), cdb)) → new_ltEs4(wzz4800, wzz4900, cda, cdb)
new_lt5(wzz48000, wzz49000) → new_esEs11(new_compare9(wzz48000, wzz49000), LT)
new_primCmpNat0(Zero, Succ(wzz4900)) → LT
new_compare32(wzz48000, wzz49000) → new_compare210(wzz48000, wzz49000, new_esEs11(wzz48000, wzz49000))
new_esEs25(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_esEs5(wzz48000, wzz49000, ceg, ceh)
new_ltEs4(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), cbg, cbh) → new_pePe(new_lt20(wzz48000, wzz49000, cbg), new_asAs(new_esEs25(wzz48000, wzz49000, cbg), new_ltEs21(wzz48001, wzz49001, cbh)))
new_esEs30(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs25(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs11(GT, GT) → True
new_esEs9(wzz401, wzz3001, app(ty_Ratio, ee)) → new_esEs14(wzz401, wzz3001, ee)
new_esEs29(wzz20, wzz15, app(app(ty_@2, bbe), bbf)) → new_esEs7(wzz20, wzz15, bbe, bbf)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_lt19(wzz48000, wzz49000, cfe, cff)
new_esEs29(wzz20, wzz15, ty_Ordering) → new_esEs11(wzz20, wzz15)
new_lt9(wzz48001, wzz49001, ty_Char) → new_lt11(wzz48001, wzz49001)
new_pePe(True, wzz210) → True
new_primEqNat0(Zero, Zero) → True
new_lt20(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_lt6(wzz48000, wzz49000, cef)
new_lt19(wzz48000, wzz49000, gd, ge) → new_esEs11(new_compare6(wzz48000, wzz49000, gd, ge), LT)
new_lt15(wzz48000, wzz49000, ha, hb) → new_esEs11(new_compare8(wzz48000, wzz49000, ha, hb), LT)
new_compare111(wzz183, wzz184, False, bfd, bfe) → GT
new_lt9(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_lt18(wzz48001, wzz49001, beb, bec, bed)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Float) → new_esEs18(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, ty_Int) → new_lt8(wzz48001, wzz49001)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_[], dfg)) → new_ltEs14(wzz48000, wzz49000, dfg)
new_esEs22(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_esEs7(wzz48000, wzz49000, gd, ge)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_esEs19(True, True) → True
new_lt12(wzz48000, wzz49000, beg) → new_esEs11(new_compare15(wzz48000, wzz49000, beg), LT)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_compare(:(wzz48000, wzz48001), :(wzz49000, wzz49001), cbf) → new_primCompAux1(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, cbf), cbf)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Ordering, cbe) → new_ltEs11(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_compare12(wzz48000, wzz49000, False, gh) → GT
new_sr(wzz401, wzz3001) → new_primMulInt(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Int) → new_ltEs10(wzz48002, wzz49002)
new_lt4(wzz48000, wzz49000) → new_esEs11(new_compare7(wzz48000, wzz49000), LT)
new_esEs32(wzz37, wzz32, app(app(ty_@2, chh), daa)) → new_esEs7(wzz37, wzz32, chh, daa)
new_esEs30(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_esEs7(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bff, bfg) → new_asAs(new_esEs24(wzz400, wzz3000, bff), new_esEs23(wzz401, wzz3001, bfg))
new_esEs9(wzz401, wzz3001, app(ty_[], eh)) → new_esEs16(wzz401, wzz3001, eh)
new_esEs24(wzz400, wzz3000, app(app(ty_@2, caa), cab)) → new_esEs7(wzz400, wzz3000, caa, cab)
new_esEs24(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Ordering) → new_compare32(wzz48000, wzz49000)
new_primPlusNat0(Succ(wzz1420), wzz300100) → Succ(Succ(new_primPlusNat1(wzz1420, wzz300100)))
new_esEs4(Just(wzz400), Just(wzz3000), ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_lt20(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs31(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs32(wzz37, wzz32, ty_Double) → new_esEs17(wzz37, wzz32)
new_lt9(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_lt12(wzz48001, wzz49001, bde)
new_esEs32(wzz37, wzz32, ty_Bool) → new_esEs19(wzz37, wzz32)
new_esEs8(wzz402, wzz3002, ty_Char) → new_esEs12(wzz402, wzz3002)
new_esEs21(wzz48001, wzz49001, ty_Int) → new_esEs20(wzz48001, wzz49001)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_esEs8(wzz402, wzz3002, ty_Float) → new_esEs18(wzz402, wzz3002)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_[], dee), cbe) → new_ltEs14(wzz48000, wzz49000, dee)
new_esEs22(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt10(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_[], dcf), caf) → new_esEs16(wzz400, wzz3000, dcf)
new_esEs30(wzz40, wzz300, app(ty_Maybe, cad)) → new_esEs4(wzz40, wzz300, cad)
new_primPlusNat1(Succ(wzz51200), Zero) → Succ(wzz51200)
new_primPlusNat1(Zero, Succ(wzz13300)) → Succ(wzz13300)
new_esEs24(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_ltEs14(wzz4800, wzz4900, cbf) → new_fsEs(new_compare(wzz4800, wzz4900, cbf))
new_compare13(wzz48000, wzz49000, False) → GT
new_esEs29(wzz20, wzz15, app(app(ty_Either, bag), bah)) → new_esEs5(wzz20, wzz15, bag, bah)
new_esEs21(wzz48001, wzz49001, ty_Char) → new_esEs12(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, app(ty_Maybe, dhg)) → new_esEs4(wzz400, wzz3000, dhg)
new_esEs6(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ca, cb, cc) → new_asAs(new_esEs10(wzz400, wzz3000, ca), new_asAs(new_esEs9(wzz401, wzz3001, cb), new_esEs8(wzz402, wzz3002, cc)))
new_compare31(wzz48000, wzz49000, ty_Integer) → new_compare7(wzz48000, wzz49000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs31(wzz40, wzz300, app(app(app(ty_@3, dgh), dha), dhb)) → new_esEs6(wzz40, wzz300, dgh, dha, dhb)
new_lt9(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_lt6(wzz48001, wzz49001, bdf)
new_esEs19(False, False) → True
new_ltEs19(wzz4800, wzz4900, app(ty_Ratio, cbc)) → new_ltEs8(wzz4800, wzz4900, cbc)
new_esEs24(wzz400, wzz3000, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs6(wzz400, wzz3000, bhe, bhf, bhg)
new_lt9(wzz48001, wzz49001, ty_Float) → new_lt14(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_esEs7(wzz48001, wzz49001, bee, bef)
new_ltEs12(wzz4800, wzz4900) → new_fsEs(new_compare17(wzz4800, wzz4900))
new_ltEs21(wzz48001, wzz49001, app(app(ty_Either, cde), cdf)) → new_ltEs13(wzz48001, wzz49001, cde, cdf)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz30000))) → False
new_compare14(wzz48000, wzz49000, gh) → new_compare26(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, gh), gh)
new_primCompAux0(wzz224, GT) → GT
new_ltEs21(wzz48001, wzz49001, app(ty_[], cdg)) → new_ltEs14(wzz48001, wzz49001, cdg)
new_ltEs21(wzz48001, wzz49001, ty_Int) → new_ltEs10(wzz48001, wzz49001)
new_esEs4(Just(wzz400), Just(wzz3000), ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs14(:%(wzz400, wzz401), :%(wzz3000, wzz3001), cag) → new_asAs(new_esEs27(wzz400, wzz3000, cag), new_esEs26(wzz401, wzz3001, cag))
new_lt20(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, app(ty_[], dab)) → new_esEs16(wzz37, wzz32, dab)
new_compare24(wzz48000, wzz49000, True, gd, ge) → EQ
new_esEs31(wzz40, wzz300, app(app(ty_Either, dgf), dgg)) → new_esEs5(wzz40, wzz300, dgf, dgg)
new_esEs29(wzz20, wzz15, app(ty_[], bbg)) → new_esEs16(wzz20, wzz15, bbg)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Ratio, dde)) → new_esEs14(wzz400, wzz3000, dde)
new_compare([], [], cbf) → EQ
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Double, cbe) → new_ltEs16(wzz48000, wzz49000)
new_ltEs18(wzz48002, wzz49002, ty_Double) → new_ltEs16(wzz48002, wzz49002)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_lt20(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Ratio, dea), cbe) → new_ltEs8(wzz48000, wzz49000, dea)
new_esEs24(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, app(app(ty_@2, eaf), eag)) → new_esEs7(wzz400, wzz3000, eaf, eag)
new_primCmpNat0(Succ(wzz4800), Succ(wzz4900)) → new_primCmpNat0(wzz4800, wzz4900)
new_esEs22(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_esEs4(wzz48000, wzz49000, gh)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_esEs4(wzz48000, wzz49000, cef)
new_ltEs18(wzz48002, wzz49002, app(app(ty_Either, bce), bcf)) → new_ltEs13(wzz48002, wzz49002, bce, bcf)
new_lt10(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_esEs10(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_compare10(wzz48000, wzz49000, False, gd, ge) → GT
new_esEs30(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs9(wzz401, wzz3001, app(app(ty_@2, ef), eg)) → new_esEs7(wzz401, wzz3001, ef, eg)
new_lt9(wzz48001, wzz49001, app(ty_[], bea)) → new_lt16(wzz48001, wzz49001, bea)
new_ltEs7(Nothing, Just(wzz49000), hc) → True
new_esEs26(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_Either, dch), dda)) → new_esEs5(wzz400, wzz3000, dch, dda)
new_primEqNat0(Succ(wzz4000), Succ(wzz30000)) → new_primEqNat0(wzz4000, wzz30000)
new_compare31(wzz48000, wzz49000, ty_Float) → new_compare17(wzz48000, wzz49000)
new_esEs23(wzz401, wzz3001, app(ty_Ratio, bgf)) → new_esEs14(wzz401, wzz3001, bgf)
new_compare28(wzz48000, wzz49000, False) → new_compare19(wzz48000, wzz49000, new_ltEs9(wzz48000, wzz49000))
new_ltEs21(wzz48001, wzz49001, ty_Ordering) → new_ltEs11(wzz48001, wzz49001)
new_ltEs19(wzz4800, wzz4900, app(app(ty_Either, cbd), cbe)) → new_ltEs13(wzz4800, wzz4900, cbd, cbe)
new_esEs26(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs31(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_ltEs20(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_[], cbf)) → new_ltEs14(wzz4800, wzz4900, cbf)
new_lt16(wzz48000, wzz49000, beh) → new_esEs11(new_compare(wzz48000, wzz49000, beh), LT)
new_ltEs18(wzz48002, wzz49002, app(ty_[], bcg)) → new_ltEs14(wzz48002, wzz49002, bcg)
new_primCmpInt(Neg(Succ(wzz4800)), Neg(wzz490)) → new_primCmpNat0(wzz490, Succ(wzz4800))
new_esEs10(wzz400, wzz3000, app(app(ty_@2, ga), gb)) → new_esEs7(wzz400, wzz3000, ga, gb)
new_esEs30(wzz40, wzz300, app(ty_Ratio, cag)) → new_esEs14(wzz40, wzz300, cag)
new_esEs8(wzz402, wzz3002, app(app(ty_@2, dd), de)) → new_esEs7(wzz402, wzz3002, dd, de)
new_ltEs21(wzz48001, wzz49001, app(ty_Ratio, cdc)) → new_ltEs8(wzz48001, wzz49001, cdc)
new_compare24(wzz48000, wzz49000, False, gd, ge) → new_compare10(wzz48000, wzz49000, new_ltEs4(wzz48000, wzz49000, gd, ge), gd, ge)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz30000))) → False
new_esEs22(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, ty_Bool) → new_esEs19(wzz48001, wzz49001)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(wzz4800), Zero) → GT
new_lt10(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_lt6(wzz48000, wzz49000, gh)
new_lt20(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt9(wzz48001, wzz49001, ty_Double) → new_lt17(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_@0) → new_esEs13(wzz48001, wzz49001)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz4900))) → LT
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_Either, cfh), cga)) → new_esEs5(wzz400, wzz3000, cfh, cga)
new_compare19(wzz48000, wzz49000, False) → GT
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_compare11(wzz190, wzz191, True, gf, gg) → LT
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_compare13(wzz48000, wzz49000, True) → LT
new_sr0(Integer(wzz480000), Integer(wzz490010)) → Integer(new_primMulInt(wzz480000, wzz490010))
new_primPlusNat1(Succ(wzz51200), Succ(wzz13300)) → Succ(Succ(new_primPlusNat1(wzz51200, wzz13300)))
new_compare12(wzz48000, wzz49000, True, gh) → LT
new_ltEs20(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_esEs21(wzz48001, wzz49001, ty_Double) → new_esEs17(wzz48001, wzz49001)
new_ltEs20(wzz4800, wzz4900, app(ty_[], cce)) → new_ltEs14(wzz4800, wzz4900, cce)
new_ltEs19(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_primEqInt(Pos(Succ(wzz4000)), Neg(wzz3000)) → False
new_primEqInt(Neg(Succ(wzz4000)), Pos(wzz3000)) → False
new_esEs28(wzz400, wzz3000, app(app(ty_Either, dhh), eaa)) → new_esEs5(wzz400, wzz3000, dhh, eaa)
new_esEs25(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs8(wzz402, wzz3002, app(app(ty_Either, ce), cf)) → new_esEs5(wzz402, wzz3002, ce, cf)
new_esEs32(wzz37, wzz32, app(app(ty_Either, chb), chc)) → new_esEs5(wzz37, wzz32, chb, chc)
new_esEs32(wzz37, wzz32, app(ty_Ratio, chg)) → new_esEs14(wzz37, wzz32, chg)
new_ltEs19(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_esEs25(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, app(app(ty_Either, dh), ea)) → new_esEs5(wzz401, wzz3001, dh, ea)
new_ltEs11(GT, LT) → False
new_esEs24(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_primEqInt(Pos(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz30000))) → False
new_esEs13(@0, @0) → True
new_esEs21(wzz48001, wzz49001, ty_Integer) → new_esEs15(wzz48001, wzz49001)
new_esEs31(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_primCmpInt(Pos(Zero), Pos(Succ(wzz4900))) → new_primCmpNat0(Zero, Succ(wzz4900))
new_esEs23(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs21(wzz48001, wzz49001, ty_Ordering) → new_esEs11(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Ratio, hd)) → new_ltEs8(wzz48000, wzz49000, hd)
new_esEs31(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_esEs23(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_lt17(wzz48000, wzz49000) → new_esEs11(new_compare29(wzz48000, wzz49000), LT)
new_esEs22(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Double, caf) → new_esEs17(wzz400, wzz3000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Float, cbe) → new_ltEs12(wzz48000, wzz49000)
new_ltEs11(LT, EQ) → True
new_ltEs18(wzz48002, wzz49002, ty_@0) → new_ltEs15(wzz48002, wzz49002)
new_esEs10(wzz400, wzz3000, app(ty_[], gc)) → new_esEs16(wzz400, wzz3000, gc)
new_lt9(wzz48001, wzz49001, ty_Bool) → new_lt5(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, app(ty_Ratio, eae)) → new_esEs14(wzz400, wzz3000, eae)
new_esEs22(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_ltEs11(LT, LT) → True
new_compare26(wzz48000, wzz49000, True, gh) → EQ
new_primCompAux0(wzz224, LT) → LT
new_esEs12(Char(wzz400), Char(wzz3000)) → new_primEqNat0(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, app(app(app(ty_@3, cg), da), db)) → new_esEs6(wzz402, wzz3002, cg, da, db)
new_ltEs18(wzz48002, wzz49002, app(ty_Ratio, bcc)) → new_ltEs8(wzz48002, wzz49002, bcc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_@0, caf) → new_esEs13(wzz400, wzz3000)
new_not(False) → True
new_ltEs21(wzz48001, wzz49001, ty_Double) → new_ltEs16(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_compare8(wzz48000, wzz49000, ha, hb) → new_compare25(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, ha, hb), ha, hb)
new_ltEs20(wzz4800, wzz4900, app(app(app(ty_@3, ccf), ccg), cch)) → new_ltEs17(wzz4800, wzz4900, ccf, ccg, cch)
new_esEs28(wzz400, wzz3000, app(ty_[], eah)) → new_esEs16(wzz400, wzz3000, eah)
new_ltEs5(wzz4800, wzz4900) → new_fsEs(new_compare5(wzz4800, wzz4900))
new_primCmpInt(Pos(Succ(wzz4800)), Pos(wzz490)) → new_primCmpNat0(Succ(wzz4800), wzz490)
new_primPlusNat0(Zero, wzz300100) → Succ(wzz300100)
new_esEs30(wzz40, wzz300, app(app(ty_@2, bff), bfg)) → new_esEs7(wzz40, wzz300, bff, bfg)
new_compare31(wzz48000, wzz49000, app(app(ty_Either, dae), daf)) → new_compare8(wzz48000, wzz49000, dae, daf)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs11(LT, GT) → False
new_esEs11(GT, LT) → False
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Integer, cbe) → new_ltEs6(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, ty_Char) → new_esEs12(wzz37, wzz32)
new_esEs25(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs23(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs31(wzz40, wzz300, app(ty_Ratio, dhc)) → new_esEs14(wzz40, wzz300, dhc)
new_esEs25(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs11(LT, EQ) → False
new_esEs11(EQ, LT) → False
new_compare31(wzz48000, wzz49000, ty_@0) → new_compare18(wzz48000, wzz49000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Double) → new_esEs17(wzz400, wzz3000)
new_ltEs18(wzz48002, wzz49002, app(ty_Maybe, bcd)) → new_ltEs7(wzz48002, wzz49002, bcd)
new_compare28(wzz48000, wzz49000, True) → EQ
new_ltEs11(GT, GT) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_@0, cbe) → new_ltEs15(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Bool, caf) → new_esEs19(wzz400, wzz3000)
new_esEs32(wzz37, wzz32, ty_Float) → new_esEs18(wzz37, wzz32)
new_compare11(wzz190, wzz191, False, gf, gg) → GT
new_primCmpInt(Pos(Succ(wzz4800)), Neg(wzz490)) → GT
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Maybe, he)) → new_ltEs7(wzz48000, wzz49000, he)
new_esEs24(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs9(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Ordering) → new_ltEs11(wzz48002, wzz49002)
new_compare26(wzz48000, wzz49000, False, gh) → new_compare12(wzz48000, wzz49000, new_ltEs7(wzz48000, wzz49000, gh), gh)
new_esEs22(wzz48000, wzz49000, app(ty_[], beh)) → new_esEs16(wzz48000, wzz49000, beh)
new_esEs20(wzz40, wzz300) → new_primEqInt(wzz40, wzz300)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_@2, dfa), dfb), cbe) → new_ltEs4(wzz48000, wzz49000, dfa, dfb)
new_primMulInt(Pos(wzz4010), Pos(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Float) → new_esEs18(wzz400, wzz3000)
new_ltEs20(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs9(True, True) → True
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_[], ddh)) → new_esEs16(wzz400, wzz3000, ddh)
new_esEs5(Left(wzz400), Right(wzz3000), cae, caf) → False
new_esEs5(Right(wzz400), Left(wzz3000), cae, caf) → False
new_primMulInt(Neg(wzz4010), Neg(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_primEqNat0(Zero, Succ(wzz30000)) → False
new_primEqNat0(Succ(wzz4000), Zero) → False
new_esEs10(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_compare25(wzz480, wzz490, True, cba, cbb) → EQ
new_ltEs18(wzz48002, wzz49002, app(app(app(ty_@3, bch), bda), bdb)) → new_ltEs17(wzz48002, wzz49002, bch, bda, bdb)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_ltEs9(False, False) → True
new_esEs28(wzz400, wzz3000, app(app(app(ty_@3, eab), eac), ead)) → new_esEs6(wzz400, wzz3000, eab, eac, ead)
new_esEs4(Nothing, Nothing, cad) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Int, cbe) → new_ltEs10(wzz48000, wzz49000)
new_fsEs(wzz193) → new_not(new_esEs11(wzz193, GT))
new_compare210(wzz48000, wzz49000, True) → EQ
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_esEs16(:(wzz400, wzz401), [], cah) → False
new_esEs16([], :(wzz3000, wzz3001), cah) → False
new_ltEs19(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs18(wzz48002, wzz49002, ty_Bool) → new_ltEs9(wzz48002, wzz49002)
new_ltEs21(wzz48001, wzz49001, ty_Char) → new_ltEs5(wzz48001, wzz49001)
new_ltEs7(Nothing, Nothing, hc) → True
new_ltEs20(wzz4800, wzz4900, app(ty_Ratio, cca)) → new_ltEs8(wzz4800, wzz4900, cca)
new_ltEs16(wzz4800, wzz4900) → new_fsEs(new_compare29(wzz4800, wzz4900))
new_primCmpInt(Neg(Zero), Neg(Succ(wzz4900))) → new_primCmpNat0(Succ(wzz4900), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz4900))) → GT
new_compare29(Double(wzz48000, wzz48001), Double(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Maybe, deb), cbe) → new_ltEs7(wzz48000, wzz49000, deb)
new_esEs16(:(wzz400, wzz401), :(wzz3000, wzz3001), cah) → new_asAs(new_esEs28(wzz400, wzz3000, cah), new_esEs16(wzz401, wzz3001, cah))
new_esEs29(wzz20, wzz15, ty_Bool) → new_esEs19(wzz20, wzz15)
new_esEs25(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_esEs14(wzz48000, wzz49000, cee)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_[], cgh)) → new_esEs16(wzz400, wzz3000, cgh)
new_compare31(wzz48000, wzz49000, app(ty_[], dag)) → new_compare(wzz48000, wzz49000, dag)
new_ltEs18(wzz48002, wzz49002, ty_Float) → new_ltEs12(wzz48002, wzz49002)
new_ltEs21(wzz48001, wzz49001, ty_Integer) → new_ltEs6(wzz48001, wzz49001)
new_ltEs20(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_Either, dec), ded), cbe) → new_ltEs13(wzz48000, wzz49000, dec, ded)
new_esEs30(wzz40, wzz300, app(ty_[], cah)) → new_esEs16(wzz40, wzz300, cah)
new_esEs21(wzz48001, wzz49001, ty_Float) → new_esEs18(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_lt13(wzz48000, wzz49000) → new_esEs11(new_compare32(wzz48000, wzz49000), LT)
new_compare31(wzz48000, wzz49000, ty_Bool) → new_compare9(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_esEs4(wzz48001, wzz49001, bdf)
new_ltEs11(EQ, EQ) → True
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_Either, dfe), dff)) → new_ltEs13(wzz48000, wzz49000, dfe, dff)
new_lt20(wzz48000, wzz49000, app(ty_[], cfa)) → new_lt16(wzz48000, wzz49000, cfa)
new_esEs8(wzz402, wzz3002, ty_Bool) → new_esEs19(wzz402, wzz3002)
new_compare31(wzz48000, wzz49000, ty_Int) → new_compare16(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_@2, dcd), dce), caf) → new_esEs7(wzz400, wzz3000, dcd, dce)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCompAux1(wzz48000, wzz49000, wzz211, cbf) → new_primCompAux0(wzz211, new_compare31(wzz48000, wzz49000, cbf))
new_lt9(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_lt19(wzz48001, wzz49001, bee, bef)
new_esEs10(wzz400, wzz3000, app(app(ty_Either, fb), fc)) → new_esEs5(wzz400, wzz3000, fb, fc)
new_compare31(wzz48000, wzz49000, ty_Char) → new_compare5(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_lt19(wzz48000, wzz49000, gd, ge)
new_lt9(wzz48001, wzz49001, ty_Ordering) → new_lt13(wzz48001, wzz49001)
new_asAs(False, wzz178) → False
new_ltEs20(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_esEs10(wzz400, wzz3000, app(app(app(ty_@3, fd), ff), fg)) → new_esEs6(wzz400, wzz3000, fd, ff, fg)
new_primMulInt(Pos(wzz4010), Neg(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Pos(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_compare16(wzz48, wzz49) → new_primCmpInt(wzz48, wzz49)
new_esEs29(wzz20, wzz15, ty_Char) → new_esEs12(wzz20, wzz15)
new_primMulNat0(Succ(wzz40100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz300100)) → Zero
new_ltEs13(Left(wzz48000), Right(wzz49000), cbd, cbe) → True
new_esEs32(wzz37, wzz32, ty_Ordering) → new_esEs11(wzz37, wzz32)
new_esEs21(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_esEs5(wzz48001, wzz49001, bdg, bdh)
new_esEs23(wzz401, wzz3001, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs6(wzz401, wzz3001, bgc, bgd, bge)
new_ltEs11(EQ, LT) → False
new_esEs9(wzz401, wzz3001, app(ty_Maybe, dg)) → new_esEs4(wzz401, wzz3001, dg)
new_esEs8(wzz402, wzz3002, app(ty_[], df)) → new_esEs16(wzz402, wzz3002, df)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Ratio, dfc)) → new_ltEs8(wzz48000, wzz49000, dfc)
new_esEs28(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dbh), dca), dcb), caf) → new_esEs6(wzz400, wzz3000, dbh, dca, dcb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, app(ty_[], cac)) → new_esEs16(wzz400, wzz3000, cac)
new_esEs23(wzz401, wzz3001, app(app(ty_@2, bgg), bgh)) → new_esEs7(wzz401, wzz3001, bgg, bgh)
new_esEs29(wzz20, wzz15, ty_Double) → new_esEs17(wzz20, wzz15)
new_esEs31(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_lt14(wzz48000, wzz49000) → new_esEs11(new_compare17(wzz48000, wzz49000), LT)
new_compare31(wzz48000, wzz49000, app(ty_Ratio, dac)) → new_compare15(wzz48000, wzz49000, dac)
new_compare110(wzz48000, wzz49000, True, bfa, bfb, bfc) → LT
new_esEs31(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_esEs8(wzz402, wzz3002, ty_Integer) → new_esEs15(wzz402, wzz3002)
new_lt10(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_esEs28(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Char) → new_ltEs5(wzz48002, wzz49002)
new_compare31(wzz48000, wzz49000, app(ty_Maybe, dad)) → new_compare14(wzz48000, wzz49000, dad)
new_esEs25(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_esEs6(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_ltEs9(False, True) → True
new_compare27(wzz48000, wzz49000, False, bfa, bfb, bfc) → new_compare110(wzz48000, wzz49000, new_ltEs17(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_esEs23(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs30(wzz40, wzz300, app(app(ty_Either, cae), caf)) → new_esEs5(wzz40, wzz300, cae, caf)
new_esEs10(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Int) → new_compare16(new_sr(wzz48000, wzz49001), new_sr(wzz49000, wzz48001))
new_ltEs13(Right(wzz48000), Left(wzz49000), cbd, cbe) → False
new_esEs24(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, ty_Integer) → new_lt4(wzz48001, wzz49001)
new_compare25(Left(wzz4800), Left(wzz4900), False, cba, cbb) → new_compare111(wzz4800, wzz4900, new_ltEs19(wzz4800, wzz4900, cba), cba, cbb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_@2, dgc), dgd)) → new_ltEs4(wzz48000, wzz49000, dgc, dgd)
new_lt10(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, app(app(app(ty_@3, chd), che), chf)) → new_esEs6(wzz37, wzz32, chd, che, chf)
new_lt11(wzz48000, wzz49000) → new_esEs11(new_compare5(wzz48000, wzz49000), LT)
new_ltEs7(Just(wzz48000), Nothing, hc) → False
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Maybe, dcg)) → new_esEs4(wzz400, wzz3000, dcg)
new_esEs8(wzz402, wzz3002, app(ty_Ratio, dc)) → new_esEs14(wzz402, wzz3002, dc)
new_esEs16([], [], cah) → True
new_ltEs20(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_esEs29(wzz20, wzz15, ty_Int) → new_esEs20(wzz20, wzz15)
new_ltEs21(wzz48001, wzz49001, ty_@0) → new_ltEs15(wzz48001, wzz49001)
new_esEs8(wzz402, wzz3002, app(ty_Maybe, cd)) → new_esEs4(wzz402, wzz3002, cd)
new_compare30(wzz48000, wzz49000, bfa, bfb, bfc) → new_compare27(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_esEs27(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_compare7(Integer(wzz48000), Integer(wzz49000)) → new_primCmpInt(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_lt15(wzz48000, wzz49000, ceg, ceh)
new_lt10(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, app(ty_Maybe, dge)) → new_esEs4(wzz40, wzz300, dge)
new_ltEs19(wzz4800, wzz4900, app(ty_Maybe, hc)) → new_ltEs7(wzz4800, wzz4900, hc)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_Either, dbf), dbg), caf) → new_esEs5(wzz400, wzz3000, dbf, dbg)
new_ltEs21(wzz48001, wzz49001, app(ty_Maybe, cdd)) → new_ltEs7(wzz48001, wzz49001, cdd)
new_ltEs19(wzz4800, wzz4900, app(app(app(ty_@3, bbh), bca), bcb)) → new_ltEs17(wzz4800, wzz4900, bbh, bca, bcb)
new_esEs29(wzz20, wzz15, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs6(wzz20, wzz15, bba, bbb, bbc)
new_compare6(wzz48000, wzz49000, gd, ge) → new_compare24(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, gd, ge), gd, ge)
new_esEs30(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_lt10(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt18(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt6(wzz48000, wzz49000, gh) → new_esEs11(new_compare14(wzz48000, wzz49000, gh), LT)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_@2, cgf), cgg)) → new_esEs7(wzz400, wzz3000, cgf, cgg)
new_esEs18(Float(wzz400, wzz401), Float(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_lt10(wzz48000, wzz49000, app(ty_[], beh)) → new_lt16(wzz48000, wzz49000, beh)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_[], hh)) → new_ltEs14(wzz48000, wzz49000, hh)
new_esEs10(wzz400, wzz3000, app(ty_Ratio, fh)) → new_esEs14(wzz400, wzz3000, fh)
new_ltEs21(wzz48001, wzz49001, ty_Float) → new_ltEs12(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_@2, ddf), ddg)) → new_esEs7(wzz400, wzz3000, ddf, ddg)
new_esEs23(wzz401, wzz3001, app(ty_[], bha)) → new_esEs16(wzz401, wzz3001, bha)
new_esEs9(wzz401, wzz3001, app(app(app(ty_@3, eb), ec), ed)) → new_esEs6(wzz401, wzz3001, eb, ec, ed)
new_esEs22(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_compare111(wzz183, wzz184, True, bfd, bfe) → LT
new_compare17(Float(wzz48000, wzz48001), Float(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_primPlusNat1(Zero, Zero) → Zero
new_lt9(wzz48001, wzz49001, ty_@0) → new_lt7(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_esEs6(wzz48001, wzz49001, beb, bec, bed)
new_lt10(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_asAs(True, wzz178) → wzz178
new_primMulNat0(Succ(wzz40100), Succ(wzz300100)) → new_primPlusNat0(new_primMulNat0(wzz40100, Succ(wzz300100)), wzz300100)
new_ltEs19(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_esEs11(LT, LT) → True
new_esEs5(Left(wzz400), Left(wzz3000), ty_Int, caf) → new_esEs20(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, ty_@0) → new_esEs13(wzz402, wzz3002)
new_esEs9(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Integer) → new_esEs15(wzz400, wzz3000)
new_compare27(wzz48000, wzz49000, True, bfa, bfb, bfc) → EQ
new_ltEs19(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs6(wzz4800, wzz4900) → new_fsEs(new_compare7(wzz4800, wzz4900))
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Bool, cbe) → new_ltEs9(wzz48000, wzz49000)
new_esEs29(wzz20, wzz15, app(ty_Ratio, bbd)) → new_esEs14(wzz20, wzz15, bbd)
new_ltEs18(wzz48002, wzz49002, app(app(ty_@2, bdc), bdd)) → new_ltEs4(wzz48002, wzz49002, bdc, bdd)
new_esEs29(wzz20, wzz15, app(ty_Maybe, baf)) → new_esEs4(wzz20, wzz15, baf)
new_esEs32(wzz37, wzz32, ty_Int) → new_esEs20(wzz37, wzz32)
new_lt9(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_lt15(wzz48001, wzz49001, bdg, bdh)
new_esEs11(EQ, GT) → False
new_esEs11(GT, EQ) → False
new_ltEs17(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), bbh, bca, bcb) → new_pePe(new_lt10(wzz48000, wzz49000, bbh), new_asAs(new_esEs22(wzz48000, wzz49000, bbh), new_pePe(new_lt9(wzz48001, wzz49001, bca), new_asAs(new_esEs21(wzz48001, wzz49001, bca), new_ltEs18(wzz48002, wzz49002, bcb)))))
new_ltEs20(wzz4800, wzz4900, app(ty_Maybe, ccb)) → new_ltEs7(wzz4800, wzz4900, ccb)
new_compare110(wzz48000, wzz49000, False, bfa, bfb, bfc) → GT
new_esEs22(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_esEs5(wzz48000, wzz49000, ha, hb)
new_esEs30(wzz40, wzz300, app(app(app(ty_@3, ca), cb), cc)) → new_esEs6(wzz40, wzz300, ca, cb, cc)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, app(ty_[], bea)) → new_esEs16(wzz48001, wzz49001, bea)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(wzz4800, wzz4900) → new_fsEs(new_compare18(wzz4800, wzz4900))
new_primCompAux0(wzz224, EQ) → wzz224
new_ltEs11(EQ, GT) → True
new_lt10(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_lt15(wzz48000, wzz49000, ha, hb)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Float, caf) → new_esEs18(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(ty_Maybe, fa)) → new_esEs4(wzz400, wzz3000, fa)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_lt10(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, app(app(ty_@2, dhd), dhe)) → new_esEs7(wzz40, wzz300, dhd, dhe)
new_esEs27(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_primCmpInt(Neg(Succ(wzz4800)), Pos(wzz490)) → LT
new_not(True) → False

The set Q consists of the following terms:

new_ltEs15(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Double)
new_esEs13(@0, @0)
new_ltEs14(x0, x1, x2)
new_compare111(x0, x1, False, x2, x3)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs11(EQ, GT)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_ltEs11(GT, EQ)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs19(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primCompAux1(x0, x1, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare111(x0, x1, True, x2, x3)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Bool)
new_esEs4(Nothing, Just(x0), x1)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCompAux0(x0, GT)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_ltEs11(EQ, EQ)
new_asAs(False, x0)
new_lt10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_lt14(x0, x1)
new_ltEs16(x0, x1)
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs25(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_sr0(Integer(x0), Integer(x1))
new_lt9(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare11(x0, x1, False, x2, x3)
new_lt6(x0, x1, x2)
new_lt8(x0, x1)
new_sr(x0, x1)
new_lt9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_compare28(x0, x1, False)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Bool)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare7(Integer(x0), Integer(x1))
new_esEs29(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, x2, x3, x4)
new_lt10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_esEs22(x0, x1, ty_@0)
new_lt9(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_compare31(x0, x1, ty_Ordering)
new_lt11(x0, x1)
new_esEs25(x0, x1, ty_Bool)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Zero)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_compare29(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Int)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Int)
new_esEs24(x0, x1, ty_Int)
new_esEs19(True, True)
new_primMulNat0(Succ(x0), Succ(x1))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_lt13(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs11(EQ, GT)
new_esEs11(GT, EQ)
new_esEs24(x0, x1, ty_Bool)
new_esEs8(x0, x1, ty_Bool)
new_compare18(@0, @0)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Double)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:(x0, x1), :(x2, x3), x4)
new_compare25(x0, x1, True, x2, x3)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Ordering)
new_lt10(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Succ(x0), Zero)
new_esEs23(x0, x1, ty_Int)
new_lt9(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Char)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_ltEs18(x0, x1, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_ltEs9(False, False)
new_esEs8(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Zero)
new_esEs28(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare6(x0, x1, x2, x3)
new_compare31(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt10(x0, x1, ty_Double)
new_compare24(x0, x1, False, x2, x3)
new_compare9(x0, x1)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(:(x0, x1), [], x2)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs32(x0, x1, ty_Int)
new_compare13(x0, x1, False)
new_esEs9(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_[], x2))
new_esEs22(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs11(GT, LT)
new_esEs11(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare12(x0, x1, False, x2)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_ltEs8(x0, x1, x2)
new_ltEs18(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_lt17(x0, x1)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs6(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Float)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_ltEs7(Just(x0), Nothing, x1)
new_compare19(x0, x1, True)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare(:(x0, x1), [], x2)
new_esEs26(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(False, True)
new_esEs19(True, False)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs30(x0, x1, ty_Int)
new_esEs11(LT, LT)
new_esEs24(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare31(x0, x1, ty_Int)
new_lt10(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_Float)
new_ltEs9(True, True)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Ordering)
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs31(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Ordering)
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare10(x0, x1, True, x2, x3)
new_esEs21(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare5(Char(x0), Char(x1))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs10(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_compare13(x0, x1, True)
new_compare10(x0, x1, False, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs11(EQ, LT)
new_esEs11(LT, EQ)
new_esEs25(x0, x1, ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs19(False, False)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, True, x2, x3)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_@0)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt10(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Float)
new_lt9(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Float)
new_lt9(x0, x1, ty_Double)
new_lt9(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, ty_Int)
new_lt9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_lt20(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1)
new_compare([], [], x0)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_compare16(x0, x1)
new_esEs21(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Double)
new_esEs22(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs11(LT, LT)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1)
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs11(EQ, LT)
new_pePe(True, x0)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs11(LT, EQ)
new_primMulNat0(Zero, Succ(x0))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_lt9(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs10(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Succ(x0), x1)
new_esEs31(x0, x1, ty_Char)
new_lt18(x0, x1, x2, x3, x4)
new_lt9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_Double)
new_compare(:(x0, x1), :(x2, x3), x4)
new_compare17(Float(x0, x1), Float(x2, x3))
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt10(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Float)
new_esEs23(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Integer)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs11(GT, GT)
new_esEs18(Float(x0, x1), Float(x2, x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_not(True)
new_lt10(x0, x1, ty_Bool)
new_esEs16([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt9(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_lt9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare28(x0, x1, True)
new_fsEs(x0)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Bool)
new_esEs12(Char(x0), Char(x1))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs32(x0, x1, ty_Integer)
new_compare26(x0, x1, True, x2)
new_compare110(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Integer)
new_lt16(x0, x1, x2)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare8(x0, x1, x2, x3)
new_primPlusNat1(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs4(Nothing, Nothing, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs16([], [], x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_lt12(x0, x1, x2)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs28(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare210(x0, x1, False)
new_esEs8(x0, x1, ty_Double)
new_lt10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Nothing, Just(x0), x1)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_compare19(x0, x1, False)
new_lt20(x0, x1, ty_Integer)
new_primCompAux0(x0, EQ)
new_ltEs18(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux0(x0, LT)
new_lt10(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_pePe(False, x0)
new_compare110(x0, x1, True, x2, x3, x4)
new_lt10(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs15(Integer(x0), Integer(x1))
new_compare31(x0, x1, ty_Float)
new_esEs11(EQ, EQ)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare([], :(x0, x1), x2)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_Float)
new_compare32(x0, x1)
new_ltEs19(x0, x1, ty_@0)
new_compare24(x0, x1, True, x2, x3)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare14(x0, x1, x2)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_primPlusNat1(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Ordering)
new_lt15(x0, x1, x2, x3)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs11(GT, GT)

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

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

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

new_addToFM_C22(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, False, bf, bg, bh) → new_addToFM_C12(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, new_esEs11(new_compare25(Right(wzz37), Right(wzz32), new_esEs32(wzz37, wzz32, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C(Branch(Left(wzz300), wzz31, wzz32, wzz33, wzz34), Right(wzz40), wzz5, bc, bd, be) → new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Left(wzz300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C12(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, True, bf, bg, bh) → new_addToFM_C(wzz36, Right(wzz37), wzz38, bf, bg, bh)
new_addToFM_C22(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, True, bf, bg, bh) → new_addToFM_C(wzz35, Right(wzz37), wzz38, bf, bg, bh)
new_addToFM_C(Branch(Right(wzz300), wzz31, wzz32, wzz33, wzz34), Right(wzz40), wzz5, bc, bd, be) → new_addToFM_C22(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Right(wzz300), new_esEs31(wzz40, wzz300, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C11(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz34, Right(wzz40), wzz5, bc, bd, be)
new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz33, Right(wzz40), wzz5, bc, bd, be)
new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, False, bc, bd, be) → new_addToFM_C11(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Left(wzz300), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_compare25(Right(wzz4800), Left(wzz4900), False, cba, cbb) → GT
new_esEs11(GT, LT) → False
new_esEs11(EQ, LT) → False
new_esEs11(LT, LT) → True
new_esEs31(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_esEs31(wzz40, wzz300, app(ty_[], dhf)) → new_esEs16(wzz40, wzz300, dhf)
new_esEs31(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_esEs31(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs31(wzz40, wzz300, app(app(app(ty_@3, dgh), dha), dhb)) → new_esEs6(wzz40, wzz300, dgh, dha, dhb)
new_esEs31(wzz40, wzz300, app(app(ty_Either, dgf), dgg)) → new_esEs5(wzz40, wzz300, dgf, dgg)
new_esEs31(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_esEs31(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_esEs31(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_esEs31(wzz40, wzz300, app(ty_Ratio, dhc)) → new_esEs14(wzz40, wzz300, dhc)
new_esEs31(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_esEs31(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_esEs31(wzz40, wzz300, app(ty_Maybe, dge)) → new_esEs4(wzz40, wzz300, dge)
new_esEs31(wzz40, wzz300, app(app(ty_@2, dhd), dhe)) → new_esEs7(wzz40, wzz300, dhd, dhe)
new_compare25(Right(wzz4800), Right(wzz4900), False, cba, cbb) → new_compare11(wzz4800, wzz4900, new_ltEs20(wzz4800, wzz4900, cbb), cba, cbb)
new_compare25(wzz480, wzz490, True, cba, cbb) → EQ
new_ltEs20(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(app(ty_Either, ccc), ccd)) → new_ltEs13(wzz4800, wzz4900, ccc, ccd)
new_ltEs20(wzz4800, wzz4900, app(app(ty_@2, cda), cdb)) → new_ltEs4(wzz4800, wzz4900, cda, cdb)
new_ltEs20(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_[], cce)) → new_ltEs14(wzz4800, wzz4900, cce)
new_ltEs20(wzz4800, wzz4900, app(app(app(ty_@3, ccf), ccg), cch)) → new_ltEs17(wzz4800, wzz4900, ccf, ccg, cch)
new_ltEs20(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_Ratio, cca)) → new_ltEs8(wzz4800, wzz4900, cca)
new_ltEs20(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_Maybe, ccb)) → new_ltEs7(wzz4800, wzz4900, ccb)
new_compare11(wzz190, wzz191, True, gf, gg) → LT
new_compare11(wzz190, wzz191, False, gf, gg) → GT
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, baa), bab), bac)) → new_ltEs17(wzz48000, wzz49000, baa, bab, bac)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Maybe, deb), cbe) → new_ltEs7(wzz48000, wzz49000, deb)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Maybe, he)) → new_ltEs7(wzz48000, wzz49000, he)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Maybe, dfd)) → new_ltEs7(wzz48000, wzz49000, dfd)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_Either, dfe), dff)) → new_ltEs13(wzz48000, wzz49000, dfe, dff)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_Either, hf), hg)) → new_ltEs13(wzz48000, wzz49000, hf, hg)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_Either, dec), ded), cbe) → new_ltEs13(wzz48000, wzz49000, dec, ded)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bad), bae)) → new_ltEs4(wzz48000, wzz49000, bad, bae)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_ltEs7(Nothing, Just(wzz49000), hc) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Ratio, hd)) → new_ltEs8(wzz48000, wzz49000, hd)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_ltEs7(Nothing, Nothing, hc) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Nothing, hc) → False
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_[], hh)) → new_ltEs14(wzz48000, wzz49000, hh)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_ltEs16(wzz4800, wzz4900) → new_fsEs(new_compare29(wzz4800, wzz4900))
new_compare29(Double(wzz48000, wzz48001), Double(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_fsEs(wzz193) → new_not(new_esEs11(wzz193, GT))
new_esEs11(GT, GT) → True
new_esEs11(LT, GT) → False
new_esEs11(EQ, GT) → False
new_not(False) → True
new_not(True) → False
new_sr(wzz401, wzz3001) → new_primMulInt(wzz401, wzz3001)
new_compare16(wzz48, wzz49) → new_primCmpInt(wzz48, wzz49)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz4800)), Neg(wzz490)) → new_primCmpNat0(wzz490, Succ(wzz4800))
new_primCmpInt(Neg(Zero), Pos(Succ(wzz4900))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(wzz4900))) → new_primCmpNat0(Zero, Succ(wzz4900))
new_primCmpInt(Pos(Succ(wzz4800)), Pos(wzz490)) → new_primCmpNat0(Succ(wzz4800), wzz490)
new_primCmpInt(Pos(Succ(wzz4800)), Neg(wzz490)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(wzz4900))) → new_primCmpNat0(Succ(wzz4900), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz4900))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz4800)), Pos(wzz490)) → LT
new_primCmpNat0(Succ(wzz4800), Zero) → GT
new_primCmpNat0(Succ(wzz4800), Succ(wzz4900)) → new_primCmpNat0(wzz4800, wzz4900)
new_primCmpNat0(Zero, Succ(wzz4900)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_primMulInt(Pos(wzz4010), Pos(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Neg(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Pos(wzz4010), Neg(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Pos(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(wzz40100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz300100)) → Zero
new_primMulNat0(Succ(wzz40100), Succ(wzz300100)) → new_primPlusNat0(new_primMulNat0(wzz40100, Succ(wzz300100)), wzz300100)
new_primPlusNat0(Succ(wzz1420), wzz300100) → Succ(Succ(new_primPlusNat1(wzz1420, wzz300100)))
new_primPlusNat0(Zero, wzz300100) → Succ(wzz300100)
new_primPlusNat1(Succ(wzz51200), Zero) → Succ(wzz51200)
new_primPlusNat1(Zero, Succ(wzz13300)) → Succ(wzz13300)
new_primPlusNat1(Succ(wzz51200), Succ(wzz13300)) → Succ(Succ(new_primPlusNat1(wzz51200, wzz13300)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(wzz4800, wzz4900, cbf) → new_fsEs(new_compare(wzz4800, wzz4900, cbf))
new_compare([], :(wzz49000, wzz49001), cbf) → LT
new_compare(:(wzz48000, wzz48001), [], cbf) → GT
new_compare(:(wzz48000, wzz48001), :(wzz49000, wzz49001), cbf) → new_primCompAux1(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, cbf), cbf)
new_compare([], [], cbf) → EQ
new_primCompAux1(wzz48000, wzz49000, wzz211, cbf) → new_primCompAux0(wzz211, new_compare31(wzz48000, wzz49000, cbf))
new_compare31(wzz48000, wzz49000, ty_Double) → new_compare29(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(app(ty_@2, dbc), dbd)) → new_compare6(wzz48000, wzz49000, dbc, dbd)
new_compare31(wzz48000, wzz49000, app(app(app(ty_@3, dah), dba), dbb)) → new_compare30(wzz48000, wzz49000, dah, dba, dbb)
new_compare31(wzz48000, wzz49000, ty_Ordering) → new_compare32(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Integer) → new_compare7(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Float) → new_compare17(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(app(ty_Either, dae), daf)) → new_compare8(wzz48000, wzz49000, dae, daf)
new_compare31(wzz48000, wzz49000, ty_@0) → new_compare18(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(ty_[], dag)) → new_compare(wzz48000, wzz49000, dag)
new_compare31(wzz48000, wzz49000, ty_Bool) → new_compare9(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Int) → new_compare16(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Char) → new_compare5(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(ty_Ratio, dac)) → new_compare15(wzz48000, wzz49000, dac)
new_compare31(wzz48000, wzz49000, app(ty_Maybe, dad)) → new_compare14(wzz48000, wzz49000, dad)
new_primCompAux0(wzz224, GT) → GT
new_primCompAux0(wzz224, LT) → LT
new_primCompAux0(wzz224, EQ) → wzz224
new_compare14(wzz48000, wzz49000, gh) → new_compare26(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, gh), gh)
new_esEs4(Just(wzz400), Nothing, cad) → False
new_esEs4(Nothing, Just(wzz3000), cad) → False
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Ratio, cge)) → new_esEs14(wzz400, wzz3000, cge)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, cgb), cgc), cgd)) → new_esEs6(wzz400, wzz3000, cgb, cgc, cgd)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Maybe, dcg)) → new_esEs4(wzz400, wzz3000, dcg)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Maybe, dbe), caf) → new_esEs4(wzz400, wzz3000, dbe)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Maybe, cfg)) → new_esEs4(wzz400, wzz3000, cfg)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_Either, dch), dda)) → new_esEs5(wzz400, wzz3000, dch, dda)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_Either, dbf), dbg), caf) → new_esEs5(wzz400, wzz3000, dbf, dbg)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_Either, cfh), cga)) → new_esEs5(wzz400, wzz3000, cfh, cga)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs4(Nothing, Nothing, cad) → True
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_[], cgh)) → new_esEs16(wzz400, wzz3000, cgh)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_@2, cgf), cgg)) → new_esEs7(wzz400, wzz3000, cgf, cgg)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Integer) → new_esEs15(wzz400, wzz3000)
new_compare26(wzz48000, wzz49000, True, gh) → EQ
new_compare26(wzz48000, wzz49000, False, gh) → new_compare12(wzz48000, wzz49000, new_ltEs7(wzz48000, wzz49000, gh), gh)
new_compare12(wzz48000, wzz49000, False, gh) → GT
new_compare12(wzz48000, wzz49000, True, gh) → LT
new_esEs15(Integer(wzz400), Integer(wzz3000)) → new_primEqInt(wzz400, wzz3000)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(wzz4000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Pos(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Neg(wzz3000)) → False
new_primEqInt(Neg(Succ(wzz4000)), Pos(wzz3000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(wzz4000), Succ(wzz30000)) → new_primEqNat0(wzz4000, wzz30000)
new_primEqNat0(Zero, Succ(wzz30000)) → False
new_primEqNat0(Succ(wzz4000), Zero) → False
new_esEs7(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bff, bfg) → new_asAs(new_esEs24(wzz400, wzz3000, bff), new_esEs23(wzz401, wzz3001, bfg))
new_esEs24(wzz400, wzz3000, app(app(ty_Either, bhc), bhd)) → new_esEs5(wzz400, wzz3000, bhc, bhd)
new_esEs24(wzz400, wzz3000, app(ty_Maybe, bhb)) → new_esEs4(wzz400, wzz3000, bhb)
new_esEs24(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(ty_Ratio, bhh)) → new_esEs14(wzz400, wzz3000, bhh)
new_esEs24(wzz400, wzz3000, app(app(ty_@2, caa), cab)) → new_esEs7(wzz400, wzz3000, caa, cab)
new_esEs24(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs6(wzz400, wzz3000, bhe, bhf, bhg)
new_esEs24(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(ty_[], cac)) → new_esEs16(wzz400, wzz3000, cac)
new_esEs24(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(app(ty_Either, bga), bgb)) → new_esEs5(wzz401, wzz3001, bga, bgb)
new_esEs23(wzz401, wzz3001, app(ty_Maybe, bfh)) → new_esEs4(wzz401, wzz3001, bfh)
new_esEs23(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(ty_Ratio, bgf)) → new_esEs14(wzz401, wzz3001, bgf)
new_esEs23(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs6(wzz401, wzz3001, bgc, bgd, bge)
new_esEs23(wzz401, wzz3001, app(app(ty_@2, bgg), bgh)) → new_esEs7(wzz401, wzz3001, bgg, bgh)
new_esEs23(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(ty_[], bha)) → new_esEs16(wzz401, wzz3001, bha)
new_asAs(False, wzz178) → False
new_asAs(True, wzz178) → wzz178
new_esEs16(:(wzz400, wzz401), [], cah) → False
new_esEs16([], :(wzz3000, wzz3001), cah) → False
new_esEs16(:(wzz400, wzz401), :(wzz3000, wzz3001), cah) → new_asAs(new_esEs28(wzz400, wzz3000, cah), new_esEs16(wzz401, wzz3001, cah))
new_esEs16([], [], cah) → True
new_esEs28(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, app(ty_Maybe, dhg)) → new_esEs4(wzz400, wzz3000, dhg)
new_esEs28(wzz400, wzz3000, app(app(ty_@2, eaf), eag)) → new_esEs7(wzz400, wzz3000, eaf, eag)
new_esEs28(wzz400, wzz3000, app(app(ty_Either, dhh), eaa)) → new_esEs5(wzz400, wzz3000, dhh, eaa)
new_esEs28(wzz400, wzz3000, app(ty_Ratio, eae)) → new_esEs14(wzz400, wzz3000, eae)
new_esEs28(wzz400, wzz3000, app(ty_[], eah)) → new_esEs16(wzz400, wzz3000, eah)
new_esEs28(wzz400, wzz3000, app(app(app(ty_@3, eab), eac), ead)) → new_esEs6(wzz400, wzz3000, eab, eac, ead)
new_esEs28(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs12(Char(wzz400), Char(wzz3000)) → new_primEqNat0(wzz400, wzz3000)
new_esEs17(Double(wzz400, wzz401), Double(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs20(wzz40, wzz300) → new_primEqInt(wzz40, wzz300)
new_esEs6(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ca, cb, cc) → new_asAs(new_esEs10(wzz400, wzz3000, ca), new_asAs(new_esEs9(wzz401, wzz3001, cb), new_esEs8(wzz402, wzz3002, cc)))
new_esEs10(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(app(ty_@2, ga), gb)) → new_esEs7(wzz400, wzz3000, ga, gb)
new_esEs10(wzz400, wzz3000, app(ty_[], gc)) → new_esEs16(wzz400, wzz3000, gc)
new_esEs10(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(app(ty_Either, fb), fc)) → new_esEs5(wzz400, wzz3000, fb, fc)
new_esEs10(wzz400, wzz3000, app(app(app(ty_@3, fd), ff), fg)) → new_esEs6(wzz400, wzz3000, fd, ff, fg)
new_esEs10(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(ty_Ratio, fh)) → new_esEs14(wzz400, wzz3000, fh)
new_esEs10(wzz400, wzz3000, app(ty_Maybe, fa)) → new_esEs4(wzz400, wzz3000, fa)
new_esEs9(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(ty_Ratio, ee)) → new_esEs14(wzz401, wzz3001, ee)
new_esEs9(wzz401, wzz3001, app(ty_[], eh)) → new_esEs16(wzz401, wzz3001, eh)
new_esEs9(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(app(ty_@2, ef), eg)) → new_esEs7(wzz401, wzz3001, ef, eg)
new_esEs9(wzz401, wzz3001, app(app(ty_Either, dh), ea)) → new_esEs5(wzz401, wzz3001, dh, ea)
new_esEs9(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(ty_Maybe, dg)) → new_esEs4(wzz401, wzz3001, dg)
new_esEs9(wzz401, wzz3001, app(app(app(ty_@3, eb), ec), ed)) → new_esEs6(wzz401, wzz3001, eb, ec, ed)
new_esEs9(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs8(wzz402, wzz3002, ty_Double) → new_esEs17(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Ordering) → new_esEs11(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Int) → new_esEs20(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Char) → new_esEs12(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Float) → new_esEs18(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(app(ty_@2, dd), de)) → new_esEs7(wzz402, wzz3002, dd, de)
new_esEs8(wzz402, wzz3002, app(app(ty_Either, ce), cf)) → new_esEs5(wzz402, wzz3002, ce, cf)
new_esEs8(wzz402, wzz3002, app(app(app(ty_@3, cg), da), db)) → new_esEs6(wzz402, wzz3002, cg, da, db)
new_esEs8(wzz402, wzz3002, ty_Bool) → new_esEs19(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(ty_[], df)) → new_esEs16(wzz402, wzz3002, df)
new_esEs8(wzz402, wzz3002, ty_Integer) → new_esEs15(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(ty_Ratio, dc)) → new_esEs14(wzz402, wzz3002, dc)
new_esEs8(wzz402, wzz3002, app(ty_Maybe, cd)) → new_esEs4(wzz402, wzz3002, cd)
new_esEs8(wzz402, wzz3002, ty_@0) → new_esEs13(wzz402, wzz3002)
new_esEs13(@0, @0) → True
new_esEs14(:%(wzz400, wzz401), :%(wzz3000, wzz3001), cag) → new_asAs(new_esEs27(wzz400, wzz3000, cag), new_esEs26(wzz401, wzz3001, cag))
new_esEs27(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs27(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs26(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs26(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs19(True, True) → True
new_esEs19(False, False) → True
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Ratio, dcc), caf) → new_esEs14(wzz400, wzz3000, dcc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Char, caf) → new_esEs12(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Integer, caf) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs6(wzz400, wzz3000, ddb, ddc, ddd)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Ordering, caf) → new_esEs11(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_[], dcf), caf) → new_esEs16(wzz400, wzz3000, dcf)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Ratio, dde)) → new_esEs14(wzz400, wzz3000, dde)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Double, caf) → new_esEs17(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_@0, caf) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Bool, caf) → new_esEs19(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_[], ddh)) → new_esEs16(wzz400, wzz3000, ddh)
new_esEs5(Left(wzz400), Right(wzz3000), cae, caf) → False
new_esEs5(Right(wzz400), Left(wzz3000), cae, caf) → False
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_@2, dcd), dce), caf) → new_esEs7(wzz400, wzz3000, dcd, dce)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dbh), dca), dcb), caf) → new_esEs6(wzz400, wzz3000, dbh, dca, dcb)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_@2, ddf), ddg)) → new_esEs7(wzz400, wzz3000, ddf, ddg)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Int, caf) → new_esEs20(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Float, caf) → new_esEs18(wzz400, wzz3000)
new_esEs18(Float(wzz400, wzz401), Float(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs11(EQ, EQ) → True
new_esEs11(LT, EQ) → False
new_esEs11(GT, EQ) → False
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Integer) → new_compare7(new_sr0(wzz48000, wzz49001), new_sr0(wzz49000, wzz48001))
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Int) → new_compare16(new_sr(wzz48000, wzz49001), new_sr(wzz49000, wzz48001))
new_sr0(Integer(wzz480000), Integer(wzz490010)) → Integer(new_primMulInt(wzz480000, wzz490010))
new_compare7(Integer(wzz48000), Integer(wzz49000)) → new_primCmpInt(wzz48000, wzz49000)
new_compare5(Char(wzz48000), Char(wzz49000)) → new_primCmpNat0(wzz48000, wzz49000)
new_compare9(wzz48000, wzz49000) → new_compare28(wzz48000, wzz49000, new_esEs19(wzz48000, wzz49000))
new_compare28(wzz48000, wzz49000, False) → new_compare19(wzz48000, wzz49000, new_ltEs9(wzz48000, wzz49000))
new_compare28(wzz48000, wzz49000, True) → EQ
new_ltEs9(True, False) → False
new_ltEs9(True, True) → True
new_ltEs9(False, False) → True
new_ltEs9(False, True) → True
new_compare19(wzz48000, wzz49000, True) → LT
new_compare19(wzz48000, wzz49000, False) → GT
new_compare18(@0, @0) → EQ
new_compare8(wzz48000, wzz49000, ha, hb) → new_compare25(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, ha, hb), ha, hb)
new_compare25(Left(wzz4800), Right(wzz4900), False, cba, cbb) → LT
new_compare25(Left(wzz4800), Left(wzz4900), False, cba, cbb) → new_compare111(wzz4800, wzz4900, new_ltEs19(wzz4800, wzz4900, cba), cba, cbb)
new_ltEs19(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(app(ty_@2, cbg), cbh)) → new_ltEs4(wzz4800, wzz4900, cbg, cbh)
new_ltEs19(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_Ratio, cbc)) → new_ltEs8(wzz4800, wzz4900, cbc)
new_ltEs19(wzz4800, wzz4900, app(app(ty_Either, cbd), cbe)) → new_ltEs13(wzz4800, wzz4900, cbd, cbe)
new_ltEs19(wzz4800, wzz4900, app(ty_[], cbf)) → new_ltEs14(wzz4800, wzz4900, cbf)
new_ltEs19(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_Maybe, hc)) → new_ltEs7(wzz4800, wzz4900, hc)
new_ltEs19(wzz4800, wzz4900, app(app(app(ty_@3, bbh), bca), bcb)) → new_ltEs17(wzz4800, wzz4900, bbh, bca, bcb)
new_ltEs19(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_compare111(wzz183, wzz184, False, bfd, bfe) → GT
new_compare111(wzz183, wzz184, True, bfd, bfe) → LT
new_ltEs5(wzz4800, wzz4900) → new_fsEs(new_compare5(wzz4800, wzz4900))
new_ltEs12(wzz4800, wzz4900) → new_fsEs(new_compare17(wzz4800, wzz4900))
new_compare17(Float(wzz48000, wzz48001), Float(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_ltEs17(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), bbh, bca, bcb) → new_pePe(new_lt10(wzz48000, wzz49000, bbh), new_asAs(new_esEs22(wzz48000, wzz49000, bbh), new_pePe(new_lt9(wzz48001, wzz49001, bca), new_asAs(new_esEs21(wzz48001, wzz49001, bca), new_ltEs18(wzz48002, wzz49002, bcb)))))
new_lt10(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_lt12(wzz48000, wzz49000, beg)
new_lt10(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_lt6(wzz48000, wzz49000, gh)
new_lt10(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_lt19(wzz48000, wzz49000, gd, ge)
new_lt10(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt18(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt10(wzz48000, wzz49000, app(ty_[], beh)) → new_lt16(wzz48000, wzz49000, beh)
new_lt10(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_lt15(wzz48000, wzz49000, ha, hb)
new_lt10(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_esEs14(wzz48000, wzz49000, beg)
new_esEs22(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_esEs7(wzz48000, wzz49000, gd, ge)
new_esEs22(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc)
new_esEs22(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_esEs4(wzz48000, wzz49000, gh)
new_esEs22(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(ty_[], beh)) → new_esEs16(wzz48000, wzz49000, beh)
new_esEs22(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_esEs5(wzz48000, wzz49000, ha, hb)
new_lt9(wzz48001, wzz49001, ty_Char) → new_lt11(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_lt18(wzz48001, wzz49001, beb, bec, bed)
new_lt9(wzz48001, wzz49001, ty_Int) → new_lt8(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_lt12(wzz48001, wzz49001, bde)
new_lt9(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_lt6(wzz48001, wzz49001, bdf)
new_lt9(wzz48001, wzz49001, ty_Float) → new_lt14(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(ty_[], bea)) → new_lt16(wzz48001, wzz49001, bea)
new_lt9(wzz48001, wzz49001, ty_Double) → new_lt17(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_Bool) → new_lt5(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_lt19(wzz48001, wzz49001, bee, bef)
new_lt9(wzz48001, wzz49001, ty_Ordering) → new_lt13(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_Integer) → new_lt4(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_@0) → new_lt7(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_lt15(wzz48001, wzz49001, bdg, bdh)
new_esEs21(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_esEs14(wzz48001, wzz49001, bde)
new_esEs21(wzz48001, wzz49001, ty_Int) → new_esEs20(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Char) → new_esEs12(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_esEs7(wzz48001, wzz49001, bee, bef)
new_esEs21(wzz48001, wzz49001, ty_Bool) → new_esEs19(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_@0) → new_esEs13(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Double) → new_esEs17(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Integer) → new_esEs15(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Ordering) → new_esEs11(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Float) → new_esEs18(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_esEs4(wzz48001, wzz49001, bdf)
new_esEs21(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_esEs5(wzz48001, wzz49001, bdg, bdh)
new_esEs21(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_esEs6(wzz48001, wzz49001, beb, bec, bed)
new_esEs21(wzz48001, wzz49001, app(ty_[], bea)) → new_esEs16(wzz48001, wzz49001, bea)
new_ltEs18(wzz48002, wzz49002, ty_Integer) → new_ltEs6(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Int) → new_ltEs10(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Double) → new_ltEs16(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(ty_Either, bce), bcf)) → new_ltEs13(wzz48002, wzz49002, bce, bcf)
new_ltEs18(wzz48002, wzz49002, app(ty_[], bcg)) → new_ltEs14(wzz48002, wzz49002, bcg)
new_ltEs18(wzz48002, wzz49002, ty_@0) → new_ltEs15(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(ty_Ratio, bcc)) → new_ltEs8(wzz48002, wzz49002, bcc)
new_ltEs18(wzz48002, wzz49002, app(ty_Maybe, bcd)) → new_ltEs7(wzz48002, wzz49002, bcd)
new_ltEs18(wzz48002, wzz49002, ty_Ordering) → new_ltEs11(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(app(ty_@3, bch), bda), bdb)) → new_ltEs17(wzz48002, wzz49002, bch, bda, bdb)
new_ltEs18(wzz48002, wzz49002, ty_Bool) → new_ltEs9(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Float) → new_ltEs12(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Char) → new_ltEs5(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(ty_@2, bdc), bdd)) → new_ltEs4(wzz48002, wzz49002, bdc, bdd)
new_pePe(False, wzz210) → wzz210
new_pePe(True, wzz210) → True
new_ltEs4(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), cbg, cbh) → new_pePe(new_lt20(wzz48000, wzz49000, cbg), new_asAs(new_esEs25(wzz48000, wzz49000, cbg), new_ltEs21(wzz48001, wzz49001, cbh)))
new_lt20(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_lt12(wzz48000, wzz49000, cee)
new_lt20(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_lt18(wzz48000, wzz49000, cfb, cfc, cfd)
new_lt20(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_lt19(wzz48000, wzz49000, cfe, cff)
new_lt20(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_lt6(wzz48000, wzz49000, cef)
new_lt20(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(ty_[], cfa)) → new_lt16(wzz48000, wzz49000, cfa)
new_lt20(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_lt15(wzz48000, wzz49000, ceg, ceh)
new_esEs25(wzz48000, wzz49000, app(ty_[], cfa)) → new_esEs16(wzz48000, wzz49000, cfa)
new_esEs25(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_esEs7(wzz48000, wzz49000, cfe, cff)
new_esEs25(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_esEs5(wzz48000, wzz49000, ceg, ceh)
new_esEs25(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_esEs4(wzz48000, wzz49000, cef)
new_esEs25(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_esEs14(wzz48000, wzz49000, cee)
new_esEs25(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_esEs6(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_ltEs21(wzz48001, wzz49001, ty_Bool) → new_ltEs9(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(app(app(ty_@3, cdh), cea), ceb)) → new_ltEs17(wzz48001, wzz49001, cdh, cea, ceb)
new_ltEs21(wzz48001, wzz49001, app(app(ty_@2, cec), ced)) → new_ltEs4(wzz48001, wzz49001, cec, ced)
new_ltEs21(wzz48001, wzz49001, app(app(ty_Either, cde), cdf)) → new_ltEs13(wzz48001, wzz49001, cde, cdf)
new_ltEs21(wzz48001, wzz49001, app(ty_[], cdg)) → new_ltEs14(wzz48001, wzz49001, cdg)
new_ltEs21(wzz48001, wzz49001, ty_Int) → new_ltEs10(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Ordering) → new_ltEs11(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(ty_Ratio, cdc)) → new_ltEs8(wzz48001, wzz49001, cdc)
new_ltEs21(wzz48001, wzz49001, ty_Double) → new_ltEs16(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Char) → new_ltEs5(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Integer) → new_ltEs6(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_@0) → new_ltEs15(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(ty_Maybe, cdd)) → new_ltEs7(wzz48001, wzz49001, cdd)
new_ltEs21(wzz48001, wzz49001, ty_Float) → new_ltEs12(wzz48001, wzz49001)
new_ltEs15(wzz4800, wzz4900) → new_fsEs(new_compare18(wzz4800, wzz4900))
new_ltEs6(wzz4800, wzz4900) → new_fsEs(new_compare7(wzz4800, wzz4900))
new_ltEs8(wzz4800, wzz4900, cbc) → new_fsEs(new_compare15(wzz4800, wzz4900, cbc))
new_ltEs11(LT, GT) → True
new_ltEs11(GT, EQ) → False
new_ltEs11(GT, LT) → False
new_ltEs11(LT, EQ) → True
new_ltEs11(LT, LT) → True
new_ltEs11(GT, GT) → True
new_ltEs11(EQ, EQ) → True
new_ltEs11(EQ, LT) → False
new_ltEs11(EQ, GT) → True
new_ltEs10(wzz4800, wzz4900) → new_fsEs(new_compare16(wzz4800, wzz4900))
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Char, cbe) → new_ltEs5(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, def), deg), deh), cbe) → new_ltEs17(wzz48000, wzz49000, def, deg, deh)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs17(wzz48000, wzz49000, dfh, dga, dgb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_[], dfg)) → new_ltEs14(wzz48000, wzz49000, dfg)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Ordering, cbe) → new_ltEs11(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_[], dee), cbe) → new_ltEs14(wzz48000, wzz49000, dee)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Double, cbe) → new_ltEs16(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Ratio, dea), cbe) → new_ltEs8(wzz48000, wzz49000, dea)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Float, cbe) → new_ltEs12(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Integer, cbe) → new_ltEs6(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_@0, cbe) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_@2, dfa), dfb), cbe) → new_ltEs4(wzz48000, wzz49000, dfa, dfb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Int, cbe) → new_ltEs10(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Right(wzz49000), cbd, cbe) → True
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Ratio, dfc)) → new_ltEs8(wzz48000, wzz49000, dfc)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Left(wzz49000), cbd, cbe) → False
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_@2, dgc), dgd)) → new_ltEs4(wzz48000, wzz49000, dgc, dgd)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Bool, cbe) → new_ltEs9(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_lt15(wzz48000, wzz49000, ha, hb) → new_esEs11(new_compare8(wzz48000, wzz49000, ha, hb), LT)
new_lt16(wzz48000, wzz49000, beh) → new_esEs11(new_compare(wzz48000, wzz49000, beh), LT)
new_lt5(wzz48000, wzz49000) → new_esEs11(new_compare9(wzz48000, wzz49000), LT)
new_lt8(wzz480, wzz490) → new_esEs11(new_compare16(wzz480, wzz490), LT)
new_lt13(wzz48000, wzz49000) → new_esEs11(new_compare32(wzz48000, wzz49000), LT)
new_compare32(wzz48000, wzz49000) → new_compare210(wzz48000, wzz49000, new_esEs11(wzz48000, wzz49000))
new_compare210(wzz48000, wzz49000, False) → new_compare13(wzz48000, wzz49000, new_ltEs11(wzz48000, wzz49000))
new_compare210(wzz48000, wzz49000, True) → EQ
new_compare13(wzz48000, wzz49000, False) → GT
new_compare13(wzz48000, wzz49000, True) → LT
new_lt17(wzz48000, wzz49000) → new_esEs11(new_compare29(wzz48000, wzz49000), LT)
new_lt6(wzz48000, wzz49000, gh) → new_esEs11(new_compare14(wzz48000, wzz49000, gh), LT)
new_lt19(wzz48000, wzz49000, gd, ge) → new_esEs11(new_compare6(wzz48000, wzz49000, gd, ge), LT)
new_compare6(wzz48000, wzz49000, gd, ge) → new_compare24(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, gd, ge), gd, ge)
new_compare24(wzz48000, wzz49000, True, gd, ge) → EQ
new_compare24(wzz48000, wzz49000, False, gd, ge) → new_compare10(wzz48000, wzz49000, new_ltEs4(wzz48000, wzz49000, gd, ge), gd, ge)
new_compare10(wzz48000, wzz49000, True, gd, ge) → LT
new_compare10(wzz48000, wzz49000, False, gd, ge) → GT
new_lt18(wzz48000, wzz49000, bfa, bfb, bfc) → new_esEs11(new_compare30(wzz48000, wzz49000, bfa, bfb, bfc), LT)
new_compare30(wzz48000, wzz49000, bfa, bfb, bfc) → new_compare27(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_compare27(wzz48000, wzz49000, False, bfa, bfb, bfc) → new_compare110(wzz48000, wzz49000, new_ltEs17(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_compare27(wzz48000, wzz49000, True, bfa, bfb, bfc) → EQ
new_compare110(wzz48000, wzz49000, True, bfa, bfb, bfc) → LT
new_compare110(wzz48000, wzz49000, False, bfa, bfb, bfc) → GT
new_lt4(wzz48000, wzz49000) → new_esEs11(new_compare7(wzz48000, wzz49000), LT)
new_lt7(wzz48000, wzz49000) → new_esEs11(new_compare18(wzz48000, wzz49000), LT)
new_lt12(wzz48000, wzz49000, beg) → new_esEs11(new_compare15(wzz48000, wzz49000, beg), LT)
new_lt14(wzz48000, wzz49000) → new_esEs11(new_compare17(wzz48000, wzz49000), LT)
new_lt11(wzz48000, wzz49000) → new_esEs11(new_compare5(wzz48000, wzz49000), LT)
new_esEs32(wzz37, wzz32, ty_Integer) → new_esEs15(wzz37, wzz32)
new_esEs32(wzz37, wzz32, ty_@0) → new_esEs13(wzz37, wzz32)
new_esEs32(wzz37, wzz32, app(ty_Maybe, cha)) → new_esEs4(wzz37, wzz32, cha)
new_esEs32(wzz37, wzz32, app(app(ty_@2, chh), daa)) → new_esEs7(wzz37, wzz32, chh, daa)
new_esEs32(wzz37, wzz32, ty_Double) → new_esEs17(wzz37, wzz32)
new_esEs32(wzz37, wzz32, ty_Bool) → new_esEs19(wzz37, wzz32)
new_esEs32(wzz37, wzz32, app(ty_[], dab)) → new_esEs16(wzz37, wzz32, dab)
new_esEs32(wzz37, wzz32, app(app(ty_Either, chb), chc)) → new_esEs5(wzz37, wzz32, chb, chc)
new_esEs32(wzz37, wzz32, app(ty_Ratio, chg)) → new_esEs14(wzz37, wzz32, chg)
new_esEs32(wzz37, wzz32, ty_Char) → new_esEs12(wzz37, wzz32)
new_esEs32(wzz37, wzz32, ty_Float) → new_esEs18(wzz37, wzz32)
new_esEs32(wzz37, wzz32, ty_Ordering) → new_esEs11(wzz37, wzz32)
new_esEs32(wzz37, wzz32, app(app(app(ty_@3, chd), che), chf)) → new_esEs6(wzz37, wzz32, chd, che, chf)
new_esEs32(wzz37, wzz32, ty_Int) → new_esEs20(wzz37, wzz32)

The set Q consists of the following terms:

new_ltEs15(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Double)
new_esEs13(@0, @0)
new_ltEs14(x0, x1, x2)
new_compare111(x0, x1, False, x2, x3)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs11(EQ, GT)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_ltEs11(GT, EQ)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs19(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primCompAux1(x0, x1, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare111(x0, x1, True, x2, x3)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Bool)
new_esEs4(Nothing, Just(x0), x1)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCompAux0(x0, GT)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_ltEs11(EQ, EQ)
new_asAs(False, x0)
new_lt10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_lt14(x0, x1)
new_ltEs16(x0, x1)
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs25(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_sr0(Integer(x0), Integer(x1))
new_lt9(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare11(x0, x1, False, x2, x3)
new_lt6(x0, x1, x2)
new_lt8(x0, x1)
new_sr(x0, x1)
new_lt9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_compare28(x0, x1, False)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Bool)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare7(Integer(x0), Integer(x1))
new_esEs29(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, x2, x3, x4)
new_lt10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_esEs22(x0, x1, ty_@0)
new_lt9(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_compare31(x0, x1, ty_Ordering)
new_lt11(x0, x1)
new_esEs25(x0, x1, ty_Bool)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Zero)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_compare29(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Int)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Int)
new_esEs24(x0, x1, ty_Int)
new_esEs19(True, True)
new_primMulNat0(Succ(x0), Succ(x1))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_lt13(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs11(EQ, GT)
new_esEs11(GT, EQ)
new_esEs24(x0, x1, ty_Bool)
new_esEs8(x0, x1, ty_Bool)
new_compare18(@0, @0)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Double)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:(x0, x1), :(x2, x3), x4)
new_compare25(x0, x1, True, x2, x3)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Ordering)
new_lt10(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Succ(x0), Zero)
new_esEs23(x0, x1, ty_Int)
new_lt9(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Char)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_ltEs18(x0, x1, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_ltEs9(False, False)
new_esEs8(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Zero)
new_esEs28(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare6(x0, x1, x2, x3)
new_compare31(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt10(x0, x1, ty_Double)
new_compare24(x0, x1, False, x2, x3)
new_compare9(x0, x1)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(:(x0, x1), [], x2)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs32(x0, x1, ty_Int)
new_compare13(x0, x1, False)
new_esEs9(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_[], x2))
new_esEs22(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs11(GT, LT)
new_esEs11(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare12(x0, x1, False, x2)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_ltEs8(x0, x1, x2)
new_ltEs18(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_lt17(x0, x1)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs6(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Float)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_ltEs7(Just(x0), Nothing, x1)
new_compare19(x0, x1, True)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare(:(x0, x1), [], x2)
new_esEs26(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(False, True)
new_esEs19(True, False)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs30(x0, x1, ty_Int)
new_esEs11(LT, LT)
new_esEs24(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare31(x0, x1, ty_Int)
new_lt10(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_Float)
new_ltEs9(True, True)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Ordering)
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs31(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Ordering)
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare10(x0, x1, True, x2, x3)
new_esEs21(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare5(Char(x0), Char(x1))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs10(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_compare13(x0, x1, True)
new_compare10(x0, x1, False, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs11(EQ, LT)
new_esEs11(LT, EQ)
new_esEs25(x0, x1, ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs19(False, False)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, True, x2, x3)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_@0)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt10(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Float)
new_lt9(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Float)
new_lt9(x0, x1, ty_Double)
new_lt9(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, ty_Int)
new_lt9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_lt20(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1)
new_compare([], [], x0)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_compare16(x0, x1)
new_esEs21(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Double)
new_esEs22(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs11(LT, LT)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1)
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs11(EQ, LT)
new_pePe(True, x0)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs11(LT, EQ)
new_primMulNat0(Zero, Succ(x0))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_lt9(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs10(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Succ(x0), x1)
new_esEs31(x0, x1, ty_Char)
new_lt18(x0, x1, x2, x3, x4)
new_lt9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_Double)
new_compare(:(x0, x1), :(x2, x3), x4)
new_compare17(Float(x0, x1), Float(x2, x3))
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt10(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Float)
new_esEs23(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Integer)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs11(GT, GT)
new_esEs18(Float(x0, x1), Float(x2, x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_not(True)
new_lt10(x0, x1, ty_Bool)
new_esEs16([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt9(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_lt9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare28(x0, x1, True)
new_fsEs(x0)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Bool)
new_esEs12(Char(x0), Char(x1))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs32(x0, x1, ty_Integer)
new_compare26(x0, x1, True, x2)
new_compare110(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Integer)
new_lt16(x0, x1, x2)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare8(x0, x1, x2, x3)
new_primPlusNat1(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs4(Nothing, Nothing, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs16([], [], x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_lt12(x0, x1, x2)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs28(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare210(x0, x1, False)
new_esEs8(x0, x1, ty_Double)
new_lt10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Nothing, Just(x0), x1)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_compare19(x0, x1, False)
new_lt20(x0, x1, ty_Integer)
new_primCompAux0(x0, EQ)
new_ltEs18(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux0(x0, LT)
new_lt10(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_pePe(False, x0)
new_compare110(x0, x1, True, x2, x3, x4)
new_lt10(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs15(Integer(x0), Integer(x1))
new_compare31(x0, x1, ty_Float)
new_esEs11(EQ, EQ)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare([], :(x0, x1), x2)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_Float)
new_compare32(x0, x1)
new_ltEs19(x0, x1, ty_@0)
new_compare24(x0, x1, True, x2, x3)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare14(x0, x1, x2)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_primPlusNat1(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Ordering)
new_lt15(x0, x1, x2, x3)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs11(GT, GT)

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

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



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

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

new_addToFM_C22(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, False, bf, bg, bh) → new_addToFM_C12(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, new_esEs11(new_compare25(Right(wzz37), Right(wzz32), new_esEs32(wzz37, wzz32, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C(Branch(Left(wzz300), wzz31, wzz32, wzz33, wzz34), Right(wzz40), wzz5, bc, bd, be) → new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Left(wzz300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C12(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, True, bf, bg, bh) → new_addToFM_C(wzz36, Right(wzz37), wzz38, bf, bg, bh)
new_addToFM_C11(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz34, Right(wzz40), wzz5, bc, bd, be)
new_addToFM_C(Branch(Right(wzz300), wzz31, wzz32, wzz33, wzz34), Right(wzz40), wzz5, bc, bd, be) → new_addToFM_C22(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Right(wzz300), new_esEs31(wzz40, wzz300, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C22(wzz32, wzz33, wzz34, wzz35, wzz36, wzz37, wzz38, True, bf, bg, bh) → new_addToFM_C(wzz35, Right(wzz37), wzz38, bf, bg, bh)
new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz33, Right(wzz40), wzz5, bc, bd, be)
new_addToFM_C21(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, False, bc, bd, be) → new_addToFM_C11(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Right(wzz40), Left(wzz300), False, bc, bd), GT), bc, bd, be)

The TRS R consists of the following rules:

new_compare25(Right(wzz4800), Left(wzz4900), False, cba, cbb) → GT
new_esEs11(GT, LT) → False
new_esEs11(EQ, LT) → False
new_esEs11(LT, LT) → True
new_esEs31(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_esEs31(wzz40, wzz300, app(ty_[], dhf)) → new_esEs16(wzz40, wzz300, dhf)
new_esEs31(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_esEs31(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs31(wzz40, wzz300, app(app(app(ty_@3, dgh), dha), dhb)) → new_esEs6(wzz40, wzz300, dgh, dha, dhb)
new_esEs31(wzz40, wzz300, app(app(ty_Either, dgf), dgg)) → new_esEs5(wzz40, wzz300, dgf, dgg)
new_esEs31(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_esEs31(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_esEs31(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_esEs31(wzz40, wzz300, app(ty_Ratio, dhc)) → new_esEs14(wzz40, wzz300, dhc)
new_esEs31(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_esEs31(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_esEs31(wzz40, wzz300, app(ty_Maybe, dge)) → new_esEs4(wzz40, wzz300, dge)
new_esEs31(wzz40, wzz300, app(app(ty_@2, dhd), dhe)) → new_esEs7(wzz40, wzz300, dhd, dhe)
new_compare25(Right(wzz4800), Right(wzz4900), False, cba, cbb) → new_compare11(wzz4800, wzz4900, new_ltEs20(wzz4800, wzz4900, cbb), cba, cbb)
new_compare25(wzz480, wzz490, True, cba, cbb) → EQ
new_ltEs20(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(app(ty_Either, ccc), ccd)) → new_ltEs13(wzz4800, wzz4900, ccc, ccd)
new_ltEs20(wzz4800, wzz4900, app(app(ty_@2, cda), cdb)) → new_ltEs4(wzz4800, wzz4900, cda, cdb)
new_ltEs20(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_[], cce)) → new_ltEs14(wzz4800, wzz4900, cce)
new_ltEs20(wzz4800, wzz4900, app(app(app(ty_@3, ccf), ccg), cch)) → new_ltEs17(wzz4800, wzz4900, ccf, ccg, cch)
new_ltEs20(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_Ratio, cca)) → new_ltEs8(wzz4800, wzz4900, cca)
new_ltEs20(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_Maybe, ccb)) → new_ltEs7(wzz4800, wzz4900, ccb)
new_compare11(wzz190, wzz191, True, gf, gg) → LT
new_compare11(wzz190, wzz191, False, gf, gg) → GT
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, baa), bab), bac)) → new_ltEs17(wzz48000, wzz49000, baa, bab, bac)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Maybe, deb), cbe) → new_ltEs7(wzz48000, wzz49000, deb)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Maybe, he)) → new_ltEs7(wzz48000, wzz49000, he)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Maybe, dfd)) → new_ltEs7(wzz48000, wzz49000, dfd)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_Either, dfe), dff)) → new_ltEs13(wzz48000, wzz49000, dfe, dff)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_Either, hf), hg)) → new_ltEs13(wzz48000, wzz49000, hf, hg)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_Either, dec), ded), cbe) → new_ltEs13(wzz48000, wzz49000, dec, ded)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bad), bae)) → new_ltEs4(wzz48000, wzz49000, bad, bae)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_ltEs7(Nothing, Just(wzz49000), hc) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Ratio, hd)) → new_ltEs8(wzz48000, wzz49000, hd)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_ltEs7(Nothing, Nothing, hc) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Nothing, hc) → False
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_[], hh)) → new_ltEs14(wzz48000, wzz49000, hh)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_ltEs16(wzz4800, wzz4900) → new_fsEs(new_compare29(wzz4800, wzz4900))
new_compare29(Double(wzz48000, wzz48001), Double(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_fsEs(wzz193) → new_not(new_esEs11(wzz193, GT))
new_esEs11(GT, GT) → True
new_esEs11(LT, GT) → False
new_esEs11(EQ, GT) → False
new_not(False) → True
new_not(True) → False
new_sr(wzz401, wzz3001) → new_primMulInt(wzz401, wzz3001)
new_compare16(wzz48, wzz49) → new_primCmpInt(wzz48, wzz49)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz4800)), Neg(wzz490)) → new_primCmpNat0(wzz490, Succ(wzz4800))
new_primCmpInt(Neg(Zero), Pos(Succ(wzz4900))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(wzz4900))) → new_primCmpNat0(Zero, Succ(wzz4900))
new_primCmpInt(Pos(Succ(wzz4800)), Pos(wzz490)) → new_primCmpNat0(Succ(wzz4800), wzz490)
new_primCmpInt(Pos(Succ(wzz4800)), Neg(wzz490)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(wzz4900))) → new_primCmpNat0(Succ(wzz4900), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz4900))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz4800)), Pos(wzz490)) → LT
new_primCmpNat0(Succ(wzz4800), Zero) → GT
new_primCmpNat0(Succ(wzz4800), Succ(wzz4900)) → new_primCmpNat0(wzz4800, wzz4900)
new_primCmpNat0(Zero, Succ(wzz4900)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_primMulInt(Pos(wzz4010), Pos(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Neg(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Pos(wzz4010), Neg(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Pos(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(wzz40100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz300100)) → Zero
new_primMulNat0(Succ(wzz40100), Succ(wzz300100)) → new_primPlusNat0(new_primMulNat0(wzz40100, Succ(wzz300100)), wzz300100)
new_primPlusNat0(Succ(wzz1420), wzz300100) → Succ(Succ(new_primPlusNat1(wzz1420, wzz300100)))
new_primPlusNat0(Zero, wzz300100) → Succ(wzz300100)
new_primPlusNat1(Succ(wzz51200), Zero) → Succ(wzz51200)
new_primPlusNat1(Zero, Succ(wzz13300)) → Succ(wzz13300)
new_primPlusNat1(Succ(wzz51200), Succ(wzz13300)) → Succ(Succ(new_primPlusNat1(wzz51200, wzz13300)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(wzz4800, wzz4900, cbf) → new_fsEs(new_compare(wzz4800, wzz4900, cbf))
new_compare([], :(wzz49000, wzz49001), cbf) → LT
new_compare(:(wzz48000, wzz48001), [], cbf) → GT
new_compare(:(wzz48000, wzz48001), :(wzz49000, wzz49001), cbf) → new_primCompAux1(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, cbf), cbf)
new_compare([], [], cbf) → EQ
new_primCompAux1(wzz48000, wzz49000, wzz211, cbf) → new_primCompAux0(wzz211, new_compare31(wzz48000, wzz49000, cbf))
new_compare31(wzz48000, wzz49000, ty_Double) → new_compare29(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(app(ty_@2, dbc), dbd)) → new_compare6(wzz48000, wzz49000, dbc, dbd)
new_compare31(wzz48000, wzz49000, app(app(app(ty_@3, dah), dba), dbb)) → new_compare30(wzz48000, wzz49000, dah, dba, dbb)
new_compare31(wzz48000, wzz49000, ty_Ordering) → new_compare32(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Integer) → new_compare7(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Float) → new_compare17(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(app(ty_Either, dae), daf)) → new_compare8(wzz48000, wzz49000, dae, daf)
new_compare31(wzz48000, wzz49000, ty_@0) → new_compare18(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(ty_[], dag)) → new_compare(wzz48000, wzz49000, dag)
new_compare31(wzz48000, wzz49000, ty_Bool) → new_compare9(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Int) → new_compare16(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Char) → new_compare5(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(ty_Ratio, dac)) → new_compare15(wzz48000, wzz49000, dac)
new_compare31(wzz48000, wzz49000, app(ty_Maybe, dad)) → new_compare14(wzz48000, wzz49000, dad)
new_primCompAux0(wzz224, GT) → GT
new_primCompAux0(wzz224, LT) → LT
new_primCompAux0(wzz224, EQ) → wzz224
new_compare14(wzz48000, wzz49000, gh) → new_compare26(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, gh), gh)
new_esEs4(Just(wzz400), Nothing, cad) → False
new_esEs4(Nothing, Just(wzz3000), cad) → False
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Ratio, cge)) → new_esEs14(wzz400, wzz3000, cge)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, cgb), cgc), cgd)) → new_esEs6(wzz400, wzz3000, cgb, cgc, cgd)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Maybe, dcg)) → new_esEs4(wzz400, wzz3000, dcg)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Maybe, dbe), caf) → new_esEs4(wzz400, wzz3000, dbe)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Maybe, cfg)) → new_esEs4(wzz400, wzz3000, cfg)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_Either, dch), dda)) → new_esEs5(wzz400, wzz3000, dch, dda)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_Either, dbf), dbg), caf) → new_esEs5(wzz400, wzz3000, dbf, dbg)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_Either, cfh), cga)) → new_esEs5(wzz400, wzz3000, cfh, cga)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs4(Nothing, Nothing, cad) → True
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_[], cgh)) → new_esEs16(wzz400, wzz3000, cgh)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_@2, cgf), cgg)) → new_esEs7(wzz400, wzz3000, cgf, cgg)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Integer) → new_esEs15(wzz400, wzz3000)
new_compare26(wzz48000, wzz49000, True, gh) → EQ
new_compare26(wzz48000, wzz49000, False, gh) → new_compare12(wzz48000, wzz49000, new_ltEs7(wzz48000, wzz49000, gh), gh)
new_compare12(wzz48000, wzz49000, False, gh) → GT
new_compare12(wzz48000, wzz49000, True, gh) → LT
new_esEs15(Integer(wzz400), Integer(wzz3000)) → new_primEqInt(wzz400, wzz3000)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(wzz4000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Pos(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Neg(wzz3000)) → False
new_primEqInt(Neg(Succ(wzz4000)), Pos(wzz3000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(wzz4000), Succ(wzz30000)) → new_primEqNat0(wzz4000, wzz30000)
new_primEqNat0(Zero, Succ(wzz30000)) → False
new_primEqNat0(Succ(wzz4000), Zero) → False
new_esEs7(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bff, bfg) → new_asAs(new_esEs24(wzz400, wzz3000, bff), new_esEs23(wzz401, wzz3001, bfg))
new_esEs24(wzz400, wzz3000, app(app(ty_Either, bhc), bhd)) → new_esEs5(wzz400, wzz3000, bhc, bhd)
new_esEs24(wzz400, wzz3000, app(ty_Maybe, bhb)) → new_esEs4(wzz400, wzz3000, bhb)
new_esEs24(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(ty_Ratio, bhh)) → new_esEs14(wzz400, wzz3000, bhh)
new_esEs24(wzz400, wzz3000, app(app(ty_@2, caa), cab)) → new_esEs7(wzz400, wzz3000, caa, cab)
new_esEs24(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs6(wzz400, wzz3000, bhe, bhf, bhg)
new_esEs24(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(ty_[], cac)) → new_esEs16(wzz400, wzz3000, cac)
new_esEs24(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(app(ty_Either, bga), bgb)) → new_esEs5(wzz401, wzz3001, bga, bgb)
new_esEs23(wzz401, wzz3001, app(ty_Maybe, bfh)) → new_esEs4(wzz401, wzz3001, bfh)
new_esEs23(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(ty_Ratio, bgf)) → new_esEs14(wzz401, wzz3001, bgf)
new_esEs23(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs6(wzz401, wzz3001, bgc, bgd, bge)
new_esEs23(wzz401, wzz3001, app(app(ty_@2, bgg), bgh)) → new_esEs7(wzz401, wzz3001, bgg, bgh)
new_esEs23(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(ty_[], bha)) → new_esEs16(wzz401, wzz3001, bha)
new_asAs(False, wzz178) → False
new_asAs(True, wzz178) → wzz178
new_esEs16(:(wzz400, wzz401), [], cah) → False
new_esEs16([], :(wzz3000, wzz3001), cah) → False
new_esEs16(:(wzz400, wzz401), :(wzz3000, wzz3001), cah) → new_asAs(new_esEs28(wzz400, wzz3000, cah), new_esEs16(wzz401, wzz3001, cah))
new_esEs16([], [], cah) → True
new_esEs28(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, app(ty_Maybe, dhg)) → new_esEs4(wzz400, wzz3000, dhg)
new_esEs28(wzz400, wzz3000, app(app(ty_@2, eaf), eag)) → new_esEs7(wzz400, wzz3000, eaf, eag)
new_esEs28(wzz400, wzz3000, app(app(ty_Either, dhh), eaa)) → new_esEs5(wzz400, wzz3000, dhh, eaa)
new_esEs28(wzz400, wzz3000, app(ty_Ratio, eae)) → new_esEs14(wzz400, wzz3000, eae)
new_esEs28(wzz400, wzz3000, app(ty_[], eah)) → new_esEs16(wzz400, wzz3000, eah)
new_esEs28(wzz400, wzz3000, app(app(app(ty_@3, eab), eac), ead)) → new_esEs6(wzz400, wzz3000, eab, eac, ead)
new_esEs28(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs12(Char(wzz400), Char(wzz3000)) → new_primEqNat0(wzz400, wzz3000)
new_esEs17(Double(wzz400, wzz401), Double(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs20(wzz40, wzz300) → new_primEqInt(wzz40, wzz300)
new_esEs6(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ca, cb, cc) → new_asAs(new_esEs10(wzz400, wzz3000, ca), new_asAs(new_esEs9(wzz401, wzz3001, cb), new_esEs8(wzz402, wzz3002, cc)))
new_esEs10(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(app(ty_@2, ga), gb)) → new_esEs7(wzz400, wzz3000, ga, gb)
new_esEs10(wzz400, wzz3000, app(ty_[], gc)) → new_esEs16(wzz400, wzz3000, gc)
new_esEs10(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(app(ty_Either, fb), fc)) → new_esEs5(wzz400, wzz3000, fb, fc)
new_esEs10(wzz400, wzz3000, app(app(app(ty_@3, fd), ff), fg)) → new_esEs6(wzz400, wzz3000, fd, ff, fg)
new_esEs10(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(ty_Ratio, fh)) → new_esEs14(wzz400, wzz3000, fh)
new_esEs10(wzz400, wzz3000, app(ty_Maybe, fa)) → new_esEs4(wzz400, wzz3000, fa)
new_esEs9(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(ty_Ratio, ee)) → new_esEs14(wzz401, wzz3001, ee)
new_esEs9(wzz401, wzz3001, app(ty_[], eh)) → new_esEs16(wzz401, wzz3001, eh)
new_esEs9(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(app(ty_@2, ef), eg)) → new_esEs7(wzz401, wzz3001, ef, eg)
new_esEs9(wzz401, wzz3001, app(app(ty_Either, dh), ea)) → new_esEs5(wzz401, wzz3001, dh, ea)
new_esEs9(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(ty_Maybe, dg)) → new_esEs4(wzz401, wzz3001, dg)
new_esEs9(wzz401, wzz3001, app(app(app(ty_@3, eb), ec), ed)) → new_esEs6(wzz401, wzz3001, eb, ec, ed)
new_esEs9(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs8(wzz402, wzz3002, ty_Double) → new_esEs17(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Ordering) → new_esEs11(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Int) → new_esEs20(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Char) → new_esEs12(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Float) → new_esEs18(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(app(ty_@2, dd), de)) → new_esEs7(wzz402, wzz3002, dd, de)
new_esEs8(wzz402, wzz3002, app(app(ty_Either, ce), cf)) → new_esEs5(wzz402, wzz3002, ce, cf)
new_esEs8(wzz402, wzz3002, app(app(app(ty_@3, cg), da), db)) → new_esEs6(wzz402, wzz3002, cg, da, db)
new_esEs8(wzz402, wzz3002, ty_Bool) → new_esEs19(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(ty_[], df)) → new_esEs16(wzz402, wzz3002, df)
new_esEs8(wzz402, wzz3002, ty_Integer) → new_esEs15(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(ty_Ratio, dc)) → new_esEs14(wzz402, wzz3002, dc)
new_esEs8(wzz402, wzz3002, app(ty_Maybe, cd)) → new_esEs4(wzz402, wzz3002, cd)
new_esEs8(wzz402, wzz3002, ty_@0) → new_esEs13(wzz402, wzz3002)
new_esEs13(@0, @0) → True
new_esEs14(:%(wzz400, wzz401), :%(wzz3000, wzz3001), cag) → new_asAs(new_esEs27(wzz400, wzz3000, cag), new_esEs26(wzz401, wzz3001, cag))
new_esEs27(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs27(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs26(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs26(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs19(True, True) → True
new_esEs19(False, False) → True
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Ratio, dcc), caf) → new_esEs14(wzz400, wzz3000, dcc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Char, caf) → new_esEs12(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Integer, caf) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs6(wzz400, wzz3000, ddb, ddc, ddd)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Ordering, caf) → new_esEs11(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_[], dcf), caf) → new_esEs16(wzz400, wzz3000, dcf)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Ratio, dde)) → new_esEs14(wzz400, wzz3000, dde)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Double, caf) → new_esEs17(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_@0, caf) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Bool, caf) → new_esEs19(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_[], ddh)) → new_esEs16(wzz400, wzz3000, ddh)
new_esEs5(Left(wzz400), Right(wzz3000), cae, caf) → False
new_esEs5(Right(wzz400), Left(wzz3000), cae, caf) → False
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_@2, dcd), dce), caf) → new_esEs7(wzz400, wzz3000, dcd, dce)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dbh), dca), dcb), caf) → new_esEs6(wzz400, wzz3000, dbh, dca, dcb)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_@2, ddf), ddg)) → new_esEs7(wzz400, wzz3000, ddf, ddg)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Int, caf) → new_esEs20(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Float, caf) → new_esEs18(wzz400, wzz3000)
new_esEs18(Float(wzz400, wzz401), Float(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs11(EQ, EQ) → True
new_esEs11(LT, EQ) → False
new_esEs11(GT, EQ) → False
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Integer) → new_compare7(new_sr0(wzz48000, wzz49001), new_sr0(wzz49000, wzz48001))
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Int) → new_compare16(new_sr(wzz48000, wzz49001), new_sr(wzz49000, wzz48001))
new_sr0(Integer(wzz480000), Integer(wzz490010)) → Integer(new_primMulInt(wzz480000, wzz490010))
new_compare7(Integer(wzz48000), Integer(wzz49000)) → new_primCmpInt(wzz48000, wzz49000)
new_compare5(Char(wzz48000), Char(wzz49000)) → new_primCmpNat0(wzz48000, wzz49000)
new_compare9(wzz48000, wzz49000) → new_compare28(wzz48000, wzz49000, new_esEs19(wzz48000, wzz49000))
new_compare28(wzz48000, wzz49000, False) → new_compare19(wzz48000, wzz49000, new_ltEs9(wzz48000, wzz49000))
new_compare28(wzz48000, wzz49000, True) → EQ
new_ltEs9(True, False) → False
new_ltEs9(True, True) → True
new_ltEs9(False, False) → True
new_ltEs9(False, True) → True
new_compare19(wzz48000, wzz49000, True) → LT
new_compare19(wzz48000, wzz49000, False) → GT
new_compare18(@0, @0) → EQ
new_compare8(wzz48000, wzz49000, ha, hb) → new_compare25(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, ha, hb), ha, hb)
new_compare25(Left(wzz4800), Right(wzz4900), False, cba, cbb) → LT
new_compare25(Left(wzz4800), Left(wzz4900), False, cba, cbb) → new_compare111(wzz4800, wzz4900, new_ltEs19(wzz4800, wzz4900, cba), cba, cbb)
new_ltEs19(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(app(ty_@2, cbg), cbh)) → new_ltEs4(wzz4800, wzz4900, cbg, cbh)
new_ltEs19(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_Ratio, cbc)) → new_ltEs8(wzz4800, wzz4900, cbc)
new_ltEs19(wzz4800, wzz4900, app(app(ty_Either, cbd), cbe)) → new_ltEs13(wzz4800, wzz4900, cbd, cbe)
new_ltEs19(wzz4800, wzz4900, app(ty_[], cbf)) → new_ltEs14(wzz4800, wzz4900, cbf)
new_ltEs19(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_Maybe, hc)) → new_ltEs7(wzz4800, wzz4900, hc)
new_ltEs19(wzz4800, wzz4900, app(app(app(ty_@3, bbh), bca), bcb)) → new_ltEs17(wzz4800, wzz4900, bbh, bca, bcb)
new_ltEs19(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_compare111(wzz183, wzz184, False, bfd, bfe) → GT
new_compare111(wzz183, wzz184, True, bfd, bfe) → LT
new_ltEs5(wzz4800, wzz4900) → new_fsEs(new_compare5(wzz4800, wzz4900))
new_ltEs12(wzz4800, wzz4900) → new_fsEs(new_compare17(wzz4800, wzz4900))
new_compare17(Float(wzz48000, wzz48001), Float(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_ltEs17(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), bbh, bca, bcb) → new_pePe(new_lt10(wzz48000, wzz49000, bbh), new_asAs(new_esEs22(wzz48000, wzz49000, bbh), new_pePe(new_lt9(wzz48001, wzz49001, bca), new_asAs(new_esEs21(wzz48001, wzz49001, bca), new_ltEs18(wzz48002, wzz49002, bcb)))))
new_lt10(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_lt12(wzz48000, wzz49000, beg)
new_lt10(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_lt6(wzz48000, wzz49000, gh)
new_lt10(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_lt19(wzz48000, wzz49000, gd, ge)
new_lt10(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt18(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt10(wzz48000, wzz49000, app(ty_[], beh)) → new_lt16(wzz48000, wzz49000, beh)
new_lt10(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_lt15(wzz48000, wzz49000, ha, hb)
new_lt10(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_esEs14(wzz48000, wzz49000, beg)
new_esEs22(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_esEs7(wzz48000, wzz49000, gd, ge)
new_esEs22(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc)
new_esEs22(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_esEs4(wzz48000, wzz49000, gh)
new_esEs22(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(ty_[], beh)) → new_esEs16(wzz48000, wzz49000, beh)
new_esEs22(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_esEs5(wzz48000, wzz49000, ha, hb)
new_lt9(wzz48001, wzz49001, ty_Char) → new_lt11(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_lt18(wzz48001, wzz49001, beb, bec, bed)
new_lt9(wzz48001, wzz49001, ty_Int) → new_lt8(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_lt12(wzz48001, wzz49001, bde)
new_lt9(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_lt6(wzz48001, wzz49001, bdf)
new_lt9(wzz48001, wzz49001, ty_Float) → new_lt14(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(ty_[], bea)) → new_lt16(wzz48001, wzz49001, bea)
new_lt9(wzz48001, wzz49001, ty_Double) → new_lt17(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_Bool) → new_lt5(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_lt19(wzz48001, wzz49001, bee, bef)
new_lt9(wzz48001, wzz49001, ty_Ordering) → new_lt13(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_Integer) → new_lt4(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_@0) → new_lt7(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_lt15(wzz48001, wzz49001, bdg, bdh)
new_esEs21(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_esEs14(wzz48001, wzz49001, bde)
new_esEs21(wzz48001, wzz49001, ty_Int) → new_esEs20(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Char) → new_esEs12(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_esEs7(wzz48001, wzz49001, bee, bef)
new_esEs21(wzz48001, wzz49001, ty_Bool) → new_esEs19(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_@0) → new_esEs13(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Double) → new_esEs17(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Integer) → new_esEs15(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Ordering) → new_esEs11(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Float) → new_esEs18(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_esEs4(wzz48001, wzz49001, bdf)
new_esEs21(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_esEs5(wzz48001, wzz49001, bdg, bdh)
new_esEs21(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_esEs6(wzz48001, wzz49001, beb, bec, bed)
new_esEs21(wzz48001, wzz49001, app(ty_[], bea)) → new_esEs16(wzz48001, wzz49001, bea)
new_ltEs18(wzz48002, wzz49002, ty_Integer) → new_ltEs6(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Int) → new_ltEs10(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Double) → new_ltEs16(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(ty_Either, bce), bcf)) → new_ltEs13(wzz48002, wzz49002, bce, bcf)
new_ltEs18(wzz48002, wzz49002, app(ty_[], bcg)) → new_ltEs14(wzz48002, wzz49002, bcg)
new_ltEs18(wzz48002, wzz49002, ty_@0) → new_ltEs15(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(ty_Ratio, bcc)) → new_ltEs8(wzz48002, wzz49002, bcc)
new_ltEs18(wzz48002, wzz49002, app(ty_Maybe, bcd)) → new_ltEs7(wzz48002, wzz49002, bcd)
new_ltEs18(wzz48002, wzz49002, ty_Ordering) → new_ltEs11(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(app(ty_@3, bch), bda), bdb)) → new_ltEs17(wzz48002, wzz49002, bch, bda, bdb)
new_ltEs18(wzz48002, wzz49002, ty_Bool) → new_ltEs9(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Float) → new_ltEs12(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Char) → new_ltEs5(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(ty_@2, bdc), bdd)) → new_ltEs4(wzz48002, wzz49002, bdc, bdd)
new_pePe(False, wzz210) → wzz210
new_pePe(True, wzz210) → True
new_ltEs4(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), cbg, cbh) → new_pePe(new_lt20(wzz48000, wzz49000, cbg), new_asAs(new_esEs25(wzz48000, wzz49000, cbg), new_ltEs21(wzz48001, wzz49001, cbh)))
new_lt20(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_lt12(wzz48000, wzz49000, cee)
new_lt20(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_lt18(wzz48000, wzz49000, cfb, cfc, cfd)
new_lt20(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_lt19(wzz48000, wzz49000, cfe, cff)
new_lt20(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_lt6(wzz48000, wzz49000, cef)
new_lt20(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(ty_[], cfa)) → new_lt16(wzz48000, wzz49000, cfa)
new_lt20(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_lt15(wzz48000, wzz49000, ceg, ceh)
new_esEs25(wzz48000, wzz49000, app(ty_[], cfa)) → new_esEs16(wzz48000, wzz49000, cfa)
new_esEs25(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_esEs7(wzz48000, wzz49000, cfe, cff)
new_esEs25(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_esEs5(wzz48000, wzz49000, ceg, ceh)
new_esEs25(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_esEs4(wzz48000, wzz49000, cef)
new_esEs25(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_esEs14(wzz48000, wzz49000, cee)
new_esEs25(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_esEs6(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_ltEs21(wzz48001, wzz49001, ty_Bool) → new_ltEs9(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(app(app(ty_@3, cdh), cea), ceb)) → new_ltEs17(wzz48001, wzz49001, cdh, cea, ceb)
new_ltEs21(wzz48001, wzz49001, app(app(ty_@2, cec), ced)) → new_ltEs4(wzz48001, wzz49001, cec, ced)
new_ltEs21(wzz48001, wzz49001, app(app(ty_Either, cde), cdf)) → new_ltEs13(wzz48001, wzz49001, cde, cdf)
new_ltEs21(wzz48001, wzz49001, app(ty_[], cdg)) → new_ltEs14(wzz48001, wzz49001, cdg)
new_ltEs21(wzz48001, wzz49001, ty_Int) → new_ltEs10(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Ordering) → new_ltEs11(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(ty_Ratio, cdc)) → new_ltEs8(wzz48001, wzz49001, cdc)
new_ltEs21(wzz48001, wzz49001, ty_Double) → new_ltEs16(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Char) → new_ltEs5(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Integer) → new_ltEs6(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_@0) → new_ltEs15(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(ty_Maybe, cdd)) → new_ltEs7(wzz48001, wzz49001, cdd)
new_ltEs21(wzz48001, wzz49001, ty_Float) → new_ltEs12(wzz48001, wzz49001)
new_ltEs15(wzz4800, wzz4900) → new_fsEs(new_compare18(wzz4800, wzz4900))
new_ltEs6(wzz4800, wzz4900) → new_fsEs(new_compare7(wzz4800, wzz4900))
new_ltEs8(wzz4800, wzz4900, cbc) → new_fsEs(new_compare15(wzz4800, wzz4900, cbc))
new_ltEs11(LT, GT) → True
new_ltEs11(GT, EQ) → False
new_ltEs11(GT, LT) → False
new_ltEs11(LT, EQ) → True
new_ltEs11(LT, LT) → True
new_ltEs11(GT, GT) → True
new_ltEs11(EQ, EQ) → True
new_ltEs11(EQ, LT) → False
new_ltEs11(EQ, GT) → True
new_ltEs10(wzz4800, wzz4900) → new_fsEs(new_compare16(wzz4800, wzz4900))
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Char, cbe) → new_ltEs5(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, def), deg), deh), cbe) → new_ltEs17(wzz48000, wzz49000, def, deg, deh)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs17(wzz48000, wzz49000, dfh, dga, dgb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_[], dfg)) → new_ltEs14(wzz48000, wzz49000, dfg)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Ordering, cbe) → new_ltEs11(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_[], dee), cbe) → new_ltEs14(wzz48000, wzz49000, dee)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Double, cbe) → new_ltEs16(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Ratio, dea), cbe) → new_ltEs8(wzz48000, wzz49000, dea)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Float, cbe) → new_ltEs12(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Integer, cbe) → new_ltEs6(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_@0, cbe) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_@2, dfa), dfb), cbe) → new_ltEs4(wzz48000, wzz49000, dfa, dfb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Int, cbe) → new_ltEs10(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Right(wzz49000), cbd, cbe) → True
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Ratio, dfc)) → new_ltEs8(wzz48000, wzz49000, dfc)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Left(wzz49000), cbd, cbe) → False
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_@2, dgc), dgd)) → new_ltEs4(wzz48000, wzz49000, dgc, dgd)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Bool, cbe) → new_ltEs9(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_lt15(wzz48000, wzz49000, ha, hb) → new_esEs11(new_compare8(wzz48000, wzz49000, ha, hb), LT)
new_lt16(wzz48000, wzz49000, beh) → new_esEs11(new_compare(wzz48000, wzz49000, beh), LT)
new_lt5(wzz48000, wzz49000) → new_esEs11(new_compare9(wzz48000, wzz49000), LT)
new_lt8(wzz480, wzz490) → new_esEs11(new_compare16(wzz480, wzz490), LT)
new_lt13(wzz48000, wzz49000) → new_esEs11(new_compare32(wzz48000, wzz49000), LT)
new_compare32(wzz48000, wzz49000) → new_compare210(wzz48000, wzz49000, new_esEs11(wzz48000, wzz49000))
new_compare210(wzz48000, wzz49000, False) → new_compare13(wzz48000, wzz49000, new_ltEs11(wzz48000, wzz49000))
new_compare210(wzz48000, wzz49000, True) → EQ
new_compare13(wzz48000, wzz49000, False) → GT
new_compare13(wzz48000, wzz49000, True) → LT
new_lt17(wzz48000, wzz49000) → new_esEs11(new_compare29(wzz48000, wzz49000), LT)
new_lt6(wzz48000, wzz49000, gh) → new_esEs11(new_compare14(wzz48000, wzz49000, gh), LT)
new_lt19(wzz48000, wzz49000, gd, ge) → new_esEs11(new_compare6(wzz48000, wzz49000, gd, ge), LT)
new_compare6(wzz48000, wzz49000, gd, ge) → new_compare24(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, gd, ge), gd, ge)
new_compare24(wzz48000, wzz49000, True, gd, ge) → EQ
new_compare24(wzz48000, wzz49000, False, gd, ge) → new_compare10(wzz48000, wzz49000, new_ltEs4(wzz48000, wzz49000, gd, ge), gd, ge)
new_compare10(wzz48000, wzz49000, True, gd, ge) → LT
new_compare10(wzz48000, wzz49000, False, gd, ge) → GT
new_lt18(wzz48000, wzz49000, bfa, bfb, bfc) → new_esEs11(new_compare30(wzz48000, wzz49000, bfa, bfb, bfc), LT)
new_compare30(wzz48000, wzz49000, bfa, bfb, bfc) → new_compare27(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_compare27(wzz48000, wzz49000, False, bfa, bfb, bfc) → new_compare110(wzz48000, wzz49000, new_ltEs17(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_compare27(wzz48000, wzz49000, True, bfa, bfb, bfc) → EQ
new_compare110(wzz48000, wzz49000, True, bfa, bfb, bfc) → LT
new_compare110(wzz48000, wzz49000, False, bfa, bfb, bfc) → GT
new_lt4(wzz48000, wzz49000) → new_esEs11(new_compare7(wzz48000, wzz49000), LT)
new_lt7(wzz48000, wzz49000) → new_esEs11(new_compare18(wzz48000, wzz49000), LT)
new_lt12(wzz48000, wzz49000, beg) → new_esEs11(new_compare15(wzz48000, wzz49000, beg), LT)
new_lt14(wzz48000, wzz49000) → new_esEs11(new_compare17(wzz48000, wzz49000), LT)
new_lt11(wzz48000, wzz49000) → new_esEs11(new_compare5(wzz48000, wzz49000), LT)
new_esEs32(wzz37, wzz32, ty_Integer) → new_esEs15(wzz37, wzz32)
new_esEs32(wzz37, wzz32, ty_@0) → new_esEs13(wzz37, wzz32)
new_esEs32(wzz37, wzz32, app(ty_Maybe, cha)) → new_esEs4(wzz37, wzz32, cha)
new_esEs32(wzz37, wzz32, app(app(ty_@2, chh), daa)) → new_esEs7(wzz37, wzz32, chh, daa)
new_esEs32(wzz37, wzz32, ty_Double) → new_esEs17(wzz37, wzz32)
new_esEs32(wzz37, wzz32, ty_Bool) → new_esEs19(wzz37, wzz32)
new_esEs32(wzz37, wzz32, app(ty_[], dab)) → new_esEs16(wzz37, wzz32, dab)
new_esEs32(wzz37, wzz32, app(app(ty_Either, chb), chc)) → new_esEs5(wzz37, wzz32, chb, chc)
new_esEs32(wzz37, wzz32, app(ty_Ratio, chg)) → new_esEs14(wzz37, wzz32, chg)
new_esEs32(wzz37, wzz32, ty_Char) → new_esEs12(wzz37, wzz32)
new_esEs32(wzz37, wzz32, ty_Float) → new_esEs18(wzz37, wzz32)
new_esEs32(wzz37, wzz32, ty_Ordering) → new_esEs11(wzz37, wzz32)
new_esEs32(wzz37, wzz32, app(app(app(ty_@3, chd), che), chf)) → new_esEs6(wzz37, wzz32, chd, che, chf)
new_esEs32(wzz37, wzz32, ty_Int) → new_esEs20(wzz37, wzz32)

The set Q consists of the following terms:

new_ltEs15(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Double)
new_esEs13(@0, @0)
new_ltEs14(x0, x1, x2)
new_compare111(x0, x1, False, x2, x3)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs11(EQ, GT)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_ltEs11(GT, EQ)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs19(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primCompAux1(x0, x1, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare111(x0, x1, True, x2, x3)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Bool)
new_esEs4(Nothing, Just(x0), x1)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCompAux0(x0, GT)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_ltEs11(EQ, EQ)
new_asAs(False, x0)
new_lt10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_lt14(x0, x1)
new_ltEs16(x0, x1)
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs25(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_sr0(Integer(x0), Integer(x1))
new_lt9(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare11(x0, x1, False, x2, x3)
new_lt6(x0, x1, x2)
new_lt8(x0, x1)
new_sr(x0, x1)
new_lt9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_compare28(x0, x1, False)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Bool)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare7(Integer(x0), Integer(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, x2, x3, x4)
new_lt10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_esEs22(x0, x1, ty_@0)
new_lt9(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_compare31(x0, x1, ty_Ordering)
new_lt11(x0, x1)
new_esEs25(x0, x1, ty_Bool)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Zero)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_compare29(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Int)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Int)
new_esEs24(x0, x1, ty_Int)
new_esEs19(True, True)
new_primMulNat0(Succ(x0), Succ(x1))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_lt13(x0, x1)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs11(EQ, GT)
new_esEs11(GT, EQ)
new_esEs24(x0, x1, ty_Bool)
new_esEs8(x0, x1, ty_Bool)
new_compare18(@0, @0)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:(x0, x1), :(x2, x3), x4)
new_compare25(x0, x1, True, x2, x3)
new_ltEs18(x0, x1, ty_Ordering)
new_lt10(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Succ(x0), Zero)
new_esEs23(x0, x1, ty_Int)
new_lt9(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Char)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_ltEs18(x0, x1, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_ltEs9(False, False)
new_esEs8(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Zero)
new_esEs28(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare6(x0, x1, x2, x3)
new_compare31(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt10(x0, x1, ty_Double)
new_compare24(x0, x1, False, x2, x3)
new_compare9(x0, x1)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(:(x0, x1), [], x2)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs32(x0, x1, ty_Int)
new_compare13(x0, x1, False)
new_esEs9(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_[], x2))
new_esEs22(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs11(GT, LT)
new_esEs11(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare12(x0, x1, False, x2)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_ltEs8(x0, x1, x2)
new_ltEs18(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_lt17(x0, x1)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs6(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_ltEs7(Just(x0), Nothing, x1)
new_compare19(x0, x1, True)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare(:(x0, x1), [], x2)
new_esEs26(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(False, True)
new_esEs19(True, False)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs11(LT, LT)
new_esEs24(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare31(x0, x1, ty_Int)
new_lt10(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs25(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_Float)
new_ltEs9(True, True)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, ty_Ordering)
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs31(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Ordering)
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare10(x0, x1, True, x2, x3)
new_esEs21(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare5(Char(x0), Char(x1))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs10(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_compare13(x0, x1, True)
new_compare10(x0, x1, False, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs11(EQ, LT)
new_esEs11(LT, EQ)
new_esEs25(x0, x1, ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs19(False, False)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, True, x2, x3)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs31(x0, x1, ty_@0)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt10(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Float)
new_lt9(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, ty_Double)
new_lt9(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, ty_Int)
new_lt9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_lt20(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1)
new_compare([], [], x0)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_compare16(x0, x1)
new_esEs21(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Double)
new_esEs22(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs11(LT, LT)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1)
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs11(EQ, LT)
new_pePe(True, x0)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs11(LT, EQ)
new_primMulNat0(Zero, Succ(x0))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_lt9(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs10(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Succ(x0), x1)
new_esEs31(x0, x1, ty_Char)
new_lt18(x0, x1, x2, x3, x4)
new_lt9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_Double)
new_compare(:(x0, x1), :(x2, x3), x4)
new_compare17(Float(x0, x1), Float(x2, x3))
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt10(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Float)
new_esEs23(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Integer)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs11(GT, GT)
new_esEs18(Float(x0, x1), Float(x2, x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_not(True)
new_lt10(x0, x1, ty_Bool)
new_esEs16([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt9(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_lt9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare28(x0, x1, True)
new_fsEs(x0)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Bool)
new_esEs12(Char(x0), Char(x1))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs32(x0, x1, ty_Integer)
new_compare26(x0, x1, True, x2)
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Integer)
new_lt16(x0, x1, x2)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare8(x0, x1, x2, x3)
new_primPlusNat1(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs4(Nothing, Nothing, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs16([], [], x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_lt12(x0, x1, x2)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs28(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare210(x0, x1, False)
new_esEs8(x0, x1, ty_Double)
new_lt10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Nothing, Just(x0), x1)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_compare19(x0, x1, False)
new_lt20(x0, x1, ty_Integer)
new_primCompAux0(x0, EQ)
new_ltEs18(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux0(x0, LT)
new_lt10(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_pePe(False, x0)
new_compare110(x0, x1, True, x2, x3, x4)
new_lt10(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs15(Integer(x0), Integer(x1))
new_compare31(x0, x1, ty_Float)
new_esEs11(EQ, EQ)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare([], :(x0, x1), x2)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_Float)
new_compare32(x0, x1)
new_ltEs19(x0, x1, ty_@0)
new_compare24(x0, x1, True, x2, x3)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare14(x0, x1, x2)
new_esEs28(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_primPlusNat1(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Ordering)
new_lt15(x0, x1, x2, x3)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs11(GT, GT)

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

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



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

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

new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz33, Left(wzz40), wzz5, bc, bd, be)
new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, False, bc, bd, be) → new_addToFM_C10(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Right(wzz300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C2(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, False, h, ba, bb) → new_addToFM_C1(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, new_esEs11(new_compare25(Left(wzz20), Left(wzz15), new_esEs29(wzz20, wzz15, h), h, ba), GT), h, ba, bb)
new_addToFM_C(Branch(Right(wzz300), wzz31, wzz32, wzz33, wzz34), Left(wzz40), wzz5, bc, bd, be) → new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Right(wzz300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C10(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz34, Left(wzz40), wzz5, bc, bd, be)
new_addToFM_C1(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, True, h, ba, bb) → new_addToFM_C(wzz19, Left(wzz20), wzz21, h, ba, bb)
new_addToFM_C2(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, True, h, ba, bb) → new_addToFM_C(wzz18, Left(wzz20), wzz21, h, ba, bb)
new_addToFM_C(Branch(Left(wzz300), wzz31, wzz32, wzz33, wzz34), Left(wzz40), wzz5, bc, bd, be) → new_addToFM_C2(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Left(wzz300), new_esEs30(wzz40, wzz300, bc), bc, bd), LT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Maybe, cfg)) → new_esEs4(wzz400, wzz3000, cfg)
new_esEs22(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, app(app(ty_Either, bhc), bhd)) → new_esEs5(wzz400, wzz3000, bhc, bhd)
new_ltEs11(LT, GT) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_[], cfa)) → new_esEs16(wzz48000, wzz49000, cfa)
new_esEs23(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_compare25(Right(wzz4800), Right(wzz4900), False, cba, cbb) → new_compare11(wzz4800, wzz4900, new_ltEs20(wzz4800, wzz4900, cbb), cba, cbb)
new_ltEs10(wzz4800, wzz4900) → new_fsEs(new_compare16(wzz4800, wzz4900))
new_esEs23(wzz401, wzz3001, app(app(ty_Either, bga), bgb)) → new_esEs5(wzz401, wzz3001, bga, bgb)
new_esEs29(wzz20, wzz15, ty_@0) → new_esEs13(wzz20, wzz15)
new_lt20(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_compare([], :(wzz49000, wzz49001), cbf) → LT
new_compare25(Right(wzz4800), Left(wzz4900), False, cba, cbb) → GT
new_compare10(wzz48000, wzz49000, True, gd, ge) → LT
new_esEs9(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs4(Just(wzz400), Nothing, cad) → False
new_esEs4(Nothing, Just(wzz3000), cad) → False
new_esEs24(wzz400, wzz3000, app(ty_Maybe, bhb)) → new_esEs4(wzz400, wzz3000, bhb)
new_lt20(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Ratio, cge)) → new_esEs14(wzz400, wzz3000, cge)
new_ltEs21(wzz48001, wzz49001, ty_Bool) → new_ltEs9(wzz48001, wzz49001)
new_lt20(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_lt12(wzz48000, wzz49000, cee)
new_esEs9(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_lt8(wzz480, wzz490) → new_esEs11(new_compare16(wzz480, wzz490), LT)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, baa), bab), bac)) → new_ltEs17(wzz48000, wzz49000, baa, bab, bac)
new_lt7(wzz48000, wzz49000) → new_esEs11(new_compare18(wzz48000, wzz49000), LT)
new_esEs22(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs11(EQ, EQ) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Char, cbe) → new_ltEs5(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Char) → new_esEs12(wzz400, wzz3000)
new_compare31(wzz48000, wzz49000, ty_Double) → new_compare29(wzz48000, wzz49000)
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Integer) → new_compare7(new_sr0(wzz48000, wzz49001), new_sr0(wzz49000, wzz48001))
new_primMulNat0(Zero, Zero) → Zero
new_esEs10(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs17(Double(wzz400, wzz401), Double(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs28(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_compare(:(wzz48000, wzz48001), [], cbf) → GT
new_ltEs20(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Ratio, dcc), caf) → new_esEs14(wzz400, wzz3000, dcc)
new_lt20(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, ty_Double) → new_esEs17(wzz402, wzz3002)
new_ltEs20(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, cgb), cgc), cgd)) → new_esEs6(wzz400, wzz3000, cgb, cgc, cgd)
new_esEs30(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_compare31(wzz48000, wzz49000, app(app(ty_@2, dbc), dbd)) → new_compare6(wzz48000, wzz49000, dbc, dbd)
new_esEs31(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_lt20(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_ltEs21(wzz48001, wzz49001, app(app(app(ty_@3, cdh), cea), ceb)) → new_ltEs17(wzz48001, wzz49001, cdh, cea, ceb)
new_esEs32(wzz37, wzz32, ty_Integer) → new_esEs15(wzz37, wzz32)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Char, caf) → new_esEs12(wzz400, wzz3000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_Either, hf), hg)) → new_ltEs13(wzz48000, wzz49000, hf, hg)
new_lt20(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_lt18(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_ltEs9(True, False) → False
new_ltEs18(wzz48002, wzz49002, ty_Integer) → new_ltEs6(wzz48002, wzz49002)
new_esEs23(wzz401, wzz3001, app(ty_Maybe, bfh)) → new_esEs4(wzz401, wzz3001, bfh)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Char) → new_esEs12(wzz400, wzz3000)
new_lt10(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_lt12(wzz48000, wzz49000, beg)
new_compare5(Char(wzz48000), Char(wzz49000)) → new_primCmpNat0(wzz48000, wzz49000)
new_lt18(wzz48000, wzz49000, bfa, bfb, bfc) → new_esEs11(new_compare30(wzz48000, wzz49000, bfa, bfb, bfc), LT)
new_esEs23(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_compare18(@0, @0) → EQ
new_esEs5(Left(wzz400), Left(wzz3000), ty_Integer, caf) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Int) → new_esEs20(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_esEs10(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs32(wzz37, wzz32, ty_@0) → new_esEs13(wzz37, wzz32)
new_esEs22(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_esEs14(wzz48000, wzz49000, beg)
new_esEs21(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_esEs14(wzz48001, wzz49001, bde)
new_compare31(wzz48000, wzz49000, app(app(app(ty_@3, dah), dba), dbb)) → new_compare30(wzz48000, wzz49000, dah, dba, dbb)
new_esEs15(Integer(wzz400), Integer(wzz3000)) → new_primEqInt(wzz400, wzz3000)
new_ltEs21(wzz48001, wzz49001, app(app(ty_@2, cec), ced)) → new_ltEs4(wzz48001, wzz49001, cec, ced)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Int) → new_esEs20(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Maybe, dfd)) → new_ltEs7(wzz48000, wzz49000, dfd)
new_esEs29(wzz20, wzz15, ty_Float) → new_esEs18(wzz20, wzz15)
new_compare9(wzz48000, wzz49000) → new_compare28(wzz48000, wzz49000, new_esEs19(wzz48000, wzz49000))
new_ltEs19(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_esEs29(wzz20, wzz15, ty_Integer) → new_esEs15(wzz20, wzz15)
new_esEs8(wzz402, wzz3002, ty_Ordering) → new_esEs11(wzz402, wzz3002)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bad), bae)) → new_ltEs4(wzz48000, wzz49000, bad, bae)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs6(wzz400, wzz3000, ddb, ddc, ddd)
new_ltEs20(wzz4800, wzz4900, app(app(ty_Either, ccc), ccd)) → new_ltEs13(wzz4800, wzz4900, ccc, ccd)
new_pePe(False, wzz210) → wzz210
new_esEs24(wzz400, wzz3000, app(ty_Ratio, bhh)) → new_esEs14(wzz400, wzz3000, bhh)
new_esEs25(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_esEs7(wzz48000, wzz49000, cfe, cff)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, def), deg), deh), cbe) → new_ltEs17(wzz48000, wzz49000, def, deg, deh)
new_esEs31(wzz40, wzz300, app(ty_[], dhf)) → new_esEs16(wzz40, wzz300, dhf)
new_compare25(Left(wzz4800), Right(wzz4900), False, cba, cbb) → LT
new_compare210(wzz48000, wzz49000, False) → new_compare13(wzz48000, wzz49000, new_ltEs11(wzz48000, wzz49000))
new_esEs8(wzz402, wzz3002, ty_Int) → new_esEs20(wzz402, wzz3002)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Bool) → new_esEs19(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, app(app(ty_@2, cbg), cbh)) → new_ltEs4(wzz4800, wzz4900, cbg, cbh)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Ordering, caf) → new_esEs11(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs17(wzz48000, wzz49000, dfh, dga, dgb)
new_esEs28(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_ltEs19(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_esEs9(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_compare19(wzz48000, wzz49000, True) → LT
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Maybe, dbe), caf) → new_esEs4(wzz400, wzz3000, dbe)
new_ltEs8(wzz4800, wzz4900, cbc) → new_fsEs(new_compare15(wzz4800, wzz4900, cbc))
new_esEs32(wzz37, wzz32, app(ty_Maybe, cha)) → new_esEs4(wzz37, wzz32, cha)
new_ltEs20(wzz4800, wzz4900, app(app(ty_@2, cda), cdb)) → new_ltEs4(wzz4800, wzz4900, cda, cdb)
new_lt5(wzz48000, wzz49000) → new_esEs11(new_compare9(wzz48000, wzz49000), LT)
new_primCmpNat0(Zero, Succ(wzz4900)) → LT
new_compare32(wzz48000, wzz49000) → new_compare210(wzz48000, wzz49000, new_esEs11(wzz48000, wzz49000))
new_esEs25(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_esEs5(wzz48000, wzz49000, ceg, ceh)
new_ltEs4(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), cbg, cbh) → new_pePe(new_lt20(wzz48000, wzz49000, cbg), new_asAs(new_esEs25(wzz48000, wzz49000, cbg), new_ltEs21(wzz48001, wzz49001, cbh)))
new_esEs30(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs25(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs11(GT, GT) → True
new_esEs9(wzz401, wzz3001, app(ty_Ratio, ee)) → new_esEs14(wzz401, wzz3001, ee)
new_esEs29(wzz20, wzz15, app(app(ty_@2, bbe), bbf)) → new_esEs7(wzz20, wzz15, bbe, bbf)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_lt19(wzz48000, wzz49000, cfe, cff)
new_esEs29(wzz20, wzz15, ty_Ordering) → new_esEs11(wzz20, wzz15)
new_lt9(wzz48001, wzz49001, ty_Char) → new_lt11(wzz48001, wzz49001)
new_pePe(True, wzz210) → True
new_primEqNat0(Zero, Zero) → True
new_lt20(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_lt6(wzz48000, wzz49000, cef)
new_lt19(wzz48000, wzz49000, gd, ge) → new_esEs11(new_compare6(wzz48000, wzz49000, gd, ge), LT)
new_lt15(wzz48000, wzz49000, ha, hb) → new_esEs11(new_compare8(wzz48000, wzz49000, ha, hb), LT)
new_compare111(wzz183, wzz184, False, bfd, bfe) → GT
new_lt9(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_lt18(wzz48001, wzz49001, beb, bec, bed)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Float) → new_esEs18(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, ty_Int) → new_lt8(wzz48001, wzz49001)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_[], dfg)) → new_ltEs14(wzz48000, wzz49000, dfg)
new_esEs22(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_esEs7(wzz48000, wzz49000, gd, ge)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_esEs19(True, True) → True
new_lt12(wzz48000, wzz49000, beg) → new_esEs11(new_compare15(wzz48000, wzz49000, beg), LT)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_compare(:(wzz48000, wzz48001), :(wzz49000, wzz49001), cbf) → new_primCompAux1(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, cbf), cbf)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Ordering, cbe) → new_ltEs11(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_compare12(wzz48000, wzz49000, False, gh) → GT
new_sr(wzz401, wzz3001) → new_primMulInt(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Int) → new_ltEs10(wzz48002, wzz49002)
new_lt4(wzz48000, wzz49000) → new_esEs11(new_compare7(wzz48000, wzz49000), LT)
new_esEs32(wzz37, wzz32, app(app(ty_@2, chh), daa)) → new_esEs7(wzz37, wzz32, chh, daa)
new_esEs30(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_esEs7(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bff, bfg) → new_asAs(new_esEs24(wzz400, wzz3000, bff), new_esEs23(wzz401, wzz3001, bfg))
new_esEs9(wzz401, wzz3001, app(ty_[], eh)) → new_esEs16(wzz401, wzz3001, eh)
new_esEs24(wzz400, wzz3000, app(app(ty_@2, caa), cab)) → new_esEs7(wzz400, wzz3000, caa, cab)
new_esEs24(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Ordering) → new_compare32(wzz48000, wzz49000)
new_primPlusNat0(Succ(wzz1420), wzz300100) → Succ(Succ(new_primPlusNat1(wzz1420, wzz300100)))
new_esEs4(Just(wzz400), Just(wzz3000), ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_lt20(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs31(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs32(wzz37, wzz32, ty_Double) → new_esEs17(wzz37, wzz32)
new_lt9(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_lt12(wzz48001, wzz49001, bde)
new_esEs32(wzz37, wzz32, ty_Bool) → new_esEs19(wzz37, wzz32)
new_esEs8(wzz402, wzz3002, ty_Char) → new_esEs12(wzz402, wzz3002)
new_esEs21(wzz48001, wzz49001, ty_Int) → new_esEs20(wzz48001, wzz49001)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_esEs8(wzz402, wzz3002, ty_Float) → new_esEs18(wzz402, wzz3002)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_[], dee), cbe) → new_ltEs14(wzz48000, wzz49000, dee)
new_esEs22(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt10(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_[], dcf), caf) → new_esEs16(wzz400, wzz3000, dcf)
new_esEs30(wzz40, wzz300, app(ty_Maybe, cad)) → new_esEs4(wzz40, wzz300, cad)
new_primPlusNat1(Succ(wzz51200), Zero) → Succ(wzz51200)
new_primPlusNat1(Zero, Succ(wzz13300)) → Succ(wzz13300)
new_esEs24(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_ltEs14(wzz4800, wzz4900, cbf) → new_fsEs(new_compare(wzz4800, wzz4900, cbf))
new_compare13(wzz48000, wzz49000, False) → GT
new_esEs29(wzz20, wzz15, app(app(ty_Either, bag), bah)) → new_esEs5(wzz20, wzz15, bag, bah)
new_esEs21(wzz48001, wzz49001, ty_Char) → new_esEs12(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, app(ty_Maybe, dhg)) → new_esEs4(wzz400, wzz3000, dhg)
new_esEs6(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ca, cb, cc) → new_asAs(new_esEs10(wzz400, wzz3000, ca), new_asAs(new_esEs9(wzz401, wzz3001, cb), new_esEs8(wzz402, wzz3002, cc)))
new_compare31(wzz48000, wzz49000, ty_Integer) → new_compare7(wzz48000, wzz49000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs31(wzz40, wzz300, app(app(app(ty_@3, dgh), dha), dhb)) → new_esEs6(wzz40, wzz300, dgh, dha, dhb)
new_lt9(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_lt6(wzz48001, wzz49001, bdf)
new_esEs19(False, False) → True
new_ltEs19(wzz4800, wzz4900, app(ty_Ratio, cbc)) → new_ltEs8(wzz4800, wzz4900, cbc)
new_esEs24(wzz400, wzz3000, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs6(wzz400, wzz3000, bhe, bhf, bhg)
new_lt9(wzz48001, wzz49001, ty_Float) → new_lt14(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_esEs7(wzz48001, wzz49001, bee, bef)
new_ltEs12(wzz4800, wzz4900) → new_fsEs(new_compare17(wzz4800, wzz4900))
new_ltEs21(wzz48001, wzz49001, app(app(ty_Either, cde), cdf)) → new_ltEs13(wzz48001, wzz49001, cde, cdf)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz30000))) → False
new_compare14(wzz48000, wzz49000, gh) → new_compare26(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, gh), gh)
new_primCompAux0(wzz224, GT) → GT
new_ltEs21(wzz48001, wzz49001, app(ty_[], cdg)) → new_ltEs14(wzz48001, wzz49001, cdg)
new_ltEs21(wzz48001, wzz49001, ty_Int) → new_ltEs10(wzz48001, wzz49001)
new_esEs4(Just(wzz400), Just(wzz3000), ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs14(:%(wzz400, wzz401), :%(wzz3000, wzz3001), cag) → new_asAs(new_esEs27(wzz400, wzz3000, cag), new_esEs26(wzz401, wzz3001, cag))
new_lt20(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, app(ty_[], dab)) → new_esEs16(wzz37, wzz32, dab)
new_compare24(wzz48000, wzz49000, True, gd, ge) → EQ
new_esEs31(wzz40, wzz300, app(app(ty_Either, dgf), dgg)) → new_esEs5(wzz40, wzz300, dgf, dgg)
new_esEs29(wzz20, wzz15, app(ty_[], bbg)) → new_esEs16(wzz20, wzz15, bbg)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Ratio, dde)) → new_esEs14(wzz400, wzz3000, dde)
new_compare([], [], cbf) → EQ
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Double, cbe) → new_ltEs16(wzz48000, wzz49000)
new_ltEs18(wzz48002, wzz49002, ty_Double) → new_ltEs16(wzz48002, wzz49002)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_lt20(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Ratio, dea), cbe) → new_ltEs8(wzz48000, wzz49000, dea)
new_esEs24(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, app(app(ty_@2, eaf), eag)) → new_esEs7(wzz400, wzz3000, eaf, eag)
new_primCmpNat0(Succ(wzz4800), Succ(wzz4900)) → new_primCmpNat0(wzz4800, wzz4900)
new_esEs22(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_esEs4(wzz48000, wzz49000, gh)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_esEs4(wzz48000, wzz49000, cef)
new_ltEs18(wzz48002, wzz49002, app(app(ty_Either, bce), bcf)) → new_ltEs13(wzz48002, wzz49002, bce, bcf)
new_lt10(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_esEs10(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_compare10(wzz48000, wzz49000, False, gd, ge) → GT
new_esEs30(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs9(wzz401, wzz3001, app(app(ty_@2, ef), eg)) → new_esEs7(wzz401, wzz3001, ef, eg)
new_lt9(wzz48001, wzz49001, app(ty_[], bea)) → new_lt16(wzz48001, wzz49001, bea)
new_ltEs7(Nothing, Just(wzz49000), hc) → True
new_esEs26(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_Either, dch), dda)) → new_esEs5(wzz400, wzz3000, dch, dda)
new_primEqNat0(Succ(wzz4000), Succ(wzz30000)) → new_primEqNat0(wzz4000, wzz30000)
new_compare31(wzz48000, wzz49000, ty_Float) → new_compare17(wzz48000, wzz49000)
new_esEs23(wzz401, wzz3001, app(ty_Ratio, bgf)) → new_esEs14(wzz401, wzz3001, bgf)
new_compare28(wzz48000, wzz49000, False) → new_compare19(wzz48000, wzz49000, new_ltEs9(wzz48000, wzz49000))
new_ltEs21(wzz48001, wzz49001, ty_Ordering) → new_ltEs11(wzz48001, wzz49001)
new_ltEs19(wzz4800, wzz4900, app(app(ty_Either, cbd), cbe)) → new_ltEs13(wzz4800, wzz4900, cbd, cbe)
new_esEs26(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs31(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_ltEs20(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_[], cbf)) → new_ltEs14(wzz4800, wzz4900, cbf)
new_lt16(wzz48000, wzz49000, beh) → new_esEs11(new_compare(wzz48000, wzz49000, beh), LT)
new_ltEs18(wzz48002, wzz49002, app(ty_[], bcg)) → new_ltEs14(wzz48002, wzz49002, bcg)
new_primCmpInt(Neg(Succ(wzz4800)), Neg(wzz490)) → new_primCmpNat0(wzz490, Succ(wzz4800))
new_esEs10(wzz400, wzz3000, app(app(ty_@2, ga), gb)) → new_esEs7(wzz400, wzz3000, ga, gb)
new_esEs30(wzz40, wzz300, app(ty_Ratio, cag)) → new_esEs14(wzz40, wzz300, cag)
new_esEs8(wzz402, wzz3002, app(app(ty_@2, dd), de)) → new_esEs7(wzz402, wzz3002, dd, de)
new_ltEs21(wzz48001, wzz49001, app(ty_Ratio, cdc)) → new_ltEs8(wzz48001, wzz49001, cdc)
new_compare24(wzz48000, wzz49000, False, gd, ge) → new_compare10(wzz48000, wzz49000, new_ltEs4(wzz48000, wzz49000, gd, ge), gd, ge)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz30000))) → False
new_esEs22(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, ty_Bool) → new_esEs19(wzz48001, wzz49001)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(wzz4800), Zero) → GT
new_lt10(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_lt6(wzz48000, wzz49000, gh)
new_lt20(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt9(wzz48001, wzz49001, ty_Double) → new_lt17(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_@0) → new_esEs13(wzz48001, wzz49001)
new_primCmpInt(Neg(Zero), Pos(Succ(wzz4900))) → LT
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_Either, cfh), cga)) → new_esEs5(wzz400, wzz3000, cfh, cga)
new_compare19(wzz48000, wzz49000, False) → GT
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_compare11(wzz190, wzz191, True, gf, gg) → LT
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_compare13(wzz48000, wzz49000, True) → LT
new_sr0(Integer(wzz480000), Integer(wzz490010)) → Integer(new_primMulInt(wzz480000, wzz490010))
new_primPlusNat1(Succ(wzz51200), Succ(wzz13300)) → Succ(Succ(new_primPlusNat1(wzz51200, wzz13300)))
new_compare12(wzz48000, wzz49000, True, gh) → LT
new_ltEs20(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_esEs21(wzz48001, wzz49001, ty_Double) → new_esEs17(wzz48001, wzz49001)
new_ltEs20(wzz4800, wzz4900, app(ty_[], cce)) → new_ltEs14(wzz4800, wzz4900, cce)
new_ltEs19(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_primEqInt(Pos(Succ(wzz4000)), Neg(wzz3000)) → False
new_primEqInt(Neg(Succ(wzz4000)), Pos(wzz3000)) → False
new_esEs28(wzz400, wzz3000, app(app(ty_Either, dhh), eaa)) → new_esEs5(wzz400, wzz3000, dhh, eaa)
new_esEs25(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs8(wzz402, wzz3002, app(app(ty_Either, ce), cf)) → new_esEs5(wzz402, wzz3002, ce, cf)
new_esEs32(wzz37, wzz32, app(app(ty_Either, chb), chc)) → new_esEs5(wzz37, wzz32, chb, chc)
new_esEs32(wzz37, wzz32, app(ty_Ratio, chg)) → new_esEs14(wzz37, wzz32, chg)
new_ltEs19(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_esEs25(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs9(wzz401, wzz3001, app(app(ty_Either, dh), ea)) → new_esEs5(wzz401, wzz3001, dh, ea)
new_ltEs11(GT, LT) → False
new_esEs24(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_primEqInt(Pos(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz30000))) → False
new_esEs13(@0, @0) → True
new_esEs21(wzz48001, wzz49001, ty_Integer) → new_esEs15(wzz48001, wzz49001)
new_esEs31(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_primCmpInt(Pos(Zero), Pos(Succ(wzz4900))) → new_primCmpNat0(Zero, Succ(wzz4900))
new_esEs23(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs21(wzz48001, wzz49001, ty_Ordering) → new_esEs11(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Ratio, hd)) → new_ltEs8(wzz48000, wzz49000, hd)
new_esEs31(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_esEs23(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_lt17(wzz48000, wzz49000) → new_esEs11(new_compare29(wzz48000, wzz49000), LT)
new_esEs22(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Double, caf) → new_esEs17(wzz400, wzz3000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Float, cbe) → new_ltEs12(wzz48000, wzz49000)
new_ltEs11(LT, EQ) → True
new_ltEs18(wzz48002, wzz49002, ty_@0) → new_ltEs15(wzz48002, wzz49002)
new_esEs10(wzz400, wzz3000, app(ty_[], gc)) → new_esEs16(wzz400, wzz3000, gc)
new_lt9(wzz48001, wzz49001, ty_Bool) → new_lt5(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, app(ty_Ratio, eae)) → new_esEs14(wzz400, wzz3000, eae)
new_esEs22(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_ltEs11(LT, LT) → True
new_compare26(wzz48000, wzz49000, True, gh) → EQ
new_primCompAux0(wzz224, LT) → LT
new_esEs12(Char(wzz400), Char(wzz3000)) → new_primEqNat0(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, app(app(app(ty_@3, cg), da), db)) → new_esEs6(wzz402, wzz3002, cg, da, db)
new_ltEs18(wzz48002, wzz49002, app(ty_Ratio, bcc)) → new_ltEs8(wzz48002, wzz49002, bcc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_@0, caf) → new_esEs13(wzz400, wzz3000)
new_not(False) → True
new_ltEs21(wzz48001, wzz49001, ty_Double) → new_ltEs16(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_compare8(wzz48000, wzz49000, ha, hb) → new_compare25(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, ha, hb), ha, hb)
new_ltEs20(wzz4800, wzz4900, app(app(app(ty_@3, ccf), ccg), cch)) → new_ltEs17(wzz4800, wzz4900, ccf, ccg, cch)
new_esEs28(wzz400, wzz3000, app(ty_[], eah)) → new_esEs16(wzz400, wzz3000, eah)
new_ltEs5(wzz4800, wzz4900) → new_fsEs(new_compare5(wzz4800, wzz4900))
new_primCmpInt(Pos(Succ(wzz4800)), Pos(wzz490)) → new_primCmpNat0(Succ(wzz4800), wzz490)
new_primPlusNat0(Zero, wzz300100) → Succ(wzz300100)
new_esEs30(wzz40, wzz300, app(app(ty_@2, bff), bfg)) → new_esEs7(wzz40, wzz300, bff, bfg)
new_compare31(wzz48000, wzz49000, app(app(ty_Either, dae), daf)) → new_compare8(wzz48000, wzz49000, dae, daf)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs11(LT, GT) → False
new_esEs11(GT, LT) → False
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Integer, cbe) → new_ltEs6(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, ty_Char) → new_esEs12(wzz37, wzz32)
new_esEs25(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs23(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs31(wzz40, wzz300, app(ty_Ratio, dhc)) → new_esEs14(wzz40, wzz300, dhc)
new_esEs25(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs11(LT, EQ) → False
new_esEs11(EQ, LT) → False
new_compare31(wzz48000, wzz49000, ty_@0) → new_compare18(wzz48000, wzz49000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Double) → new_esEs17(wzz400, wzz3000)
new_ltEs18(wzz48002, wzz49002, app(ty_Maybe, bcd)) → new_ltEs7(wzz48002, wzz49002, bcd)
new_compare28(wzz48000, wzz49000, True) → EQ
new_ltEs11(GT, GT) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_@0, cbe) → new_ltEs15(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Bool, caf) → new_esEs19(wzz400, wzz3000)
new_esEs32(wzz37, wzz32, ty_Float) → new_esEs18(wzz37, wzz32)
new_compare11(wzz190, wzz191, False, gf, gg) → GT
new_primCmpInt(Pos(Succ(wzz4800)), Neg(wzz490)) → GT
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Maybe, he)) → new_ltEs7(wzz48000, wzz49000, he)
new_esEs24(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs9(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Ordering) → new_ltEs11(wzz48002, wzz49002)
new_compare26(wzz48000, wzz49000, False, gh) → new_compare12(wzz48000, wzz49000, new_ltEs7(wzz48000, wzz49000, gh), gh)
new_esEs22(wzz48000, wzz49000, app(ty_[], beh)) → new_esEs16(wzz48000, wzz49000, beh)
new_esEs20(wzz40, wzz300) → new_primEqInt(wzz40, wzz300)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_@2, dfa), dfb), cbe) → new_ltEs4(wzz48000, wzz49000, dfa, dfb)
new_primMulInt(Pos(wzz4010), Pos(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Float) → new_esEs18(wzz400, wzz3000)
new_ltEs20(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs9(True, True) → True
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_[], ddh)) → new_esEs16(wzz400, wzz3000, ddh)
new_esEs5(Left(wzz400), Right(wzz3000), cae, caf) → False
new_esEs5(Right(wzz400), Left(wzz3000), cae, caf) → False
new_primMulInt(Neg(wzz4010), Neg(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_esEs10(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_primEqNat0(Zero, Succ(wzz30000)) → False
new_primEqNat0(Succ(wzz4000), Zero) → False
new_esEs10(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_compare25(wzz480, wzz490, True, cba, cbb) → EQ
new_ltEs18(wzz48002, wzz49002, app(app(app(ty_@3, bch), bda), bdb)) → new_ltEs17(wzz48002, wzz49002, bch, bda, bdb)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_ltEs9(False, False) → True
new_esEs28(wzz400, wzz3000, app(app(app(ty_@3, eab), eac), ead)) → new_esEs6(wzz400, wzz3000, eab, eac, ead)
new_esEs4(Nothing, Nothing, cad) → True
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Int, cbe) → new_ltEs10(wzz48000, wzz49000)
new_fsEs(wzz193) → new_not(new_esEs11(wzz193, GT))
new_compare210(wzz48000, wzz49000, True) → EQ
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_esEs16(:(wzz400, wzz401), [], cah) → False
new_esEs16([], :(wzz3000, wzz3001), cah) → False
new_ltEs19(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs18(wzz48002, wzz49002, ty_Bool) → new_ltEs9(wzz48002, wzz49002)
new_ltEs21(wzz48001, wzz49001, ty_Char) → new_ltEs5(wzz48001, wzz49001)
new_ltEs7(Nothing, Nothing, hc) → True
new_ltEs20(wzz4800, wzz4900, app(ty_Ratio, cca)) → new_ltEs8(wzz4800, wzz4900, cca)
new_ltEs16(wzz4800, wzz4900) → new_fsEs(new_compare29(wzz4800, wzz4900))
new_primCmpInt(Neg(Zero), Neg(Succ(wzz4900))) → new_primCmpNat0(Succ(wzz4900), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz4900))) → GT
new_compare29(Double(wzz48000, wzz48001), Double(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Maybe, deb), cbe) → new_ltEs7(wzz48000, wzz49000, deb)
new_esEs16(:(wzz400, wzz401), :(wzz3000, wzz3001), cah) → new_asAs(new_esEs28(wzz400, wzz3000, cah), new_esEs16(wzz401, wzz3001, cah))
new_esEs29(wzz20, wzz15, ty_Bool) → new_esEs19(wzz20, wzz15)
new_esEs25(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_esEs14(wzz48000, wzz49000, cee)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_[], cgh)) → new_esEs16(wzz400, wzz3000, cgh)
new_compare31(wzz48000, wzz49000, app(ty_[], dag)) → new_compare(wzz48000, wzz49000, dag)
new_ltEs18(wzz48002, wzz49002, ty_Float) → new_ltEs12(wzz48002, wzz49002)
new_ltEs21(wzz48001, wzz49001, ty_Integer) → new_ltEs6(wzz48001, wzz49001)
new_ltEs20(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_Either, dec), ded), cbe) → new_ltEs13(wzz48000, wzz49000, dec, ded)
new_esEs30(wzz40, wzz300, app(ty_[], cah)) → new_esEs16(wzz40, wzz300, cah)
new_esEs21(wzz48001, wzz49001, ty_Float) → new_esEs18(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_lt13(wzz48000, wzz49000) → new_esEs11(new_compare32(wzz48000, wzz49000), LT)
new_compare31(wzz48000, wzz49000, ty_Bool) → new_compare9(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_esEs4(wzz48001, wzz49001, bdf)
new_ltEs11(EQ, EQ) → True
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_Either, dfe), dff)) → new_ltEs13(wzz48000, wzz49000, dfe, dff)
new_lt20(wzz48000, wzz49000, app(ty_[], cfa)) → new_lt16(wzz48000, wzz49000, cfa)
new_esEs8(wzz402, wzz3002, ty_Bool) → new_esEs19(wzz402, wzz3002)
new_compare31(wzz48000, wzz49000, ty_Int) → new_compare16(wzz48000, wzz49000)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_@2, dcd), dce), caf) → new_esEs7(wzz400, wzz3000, dcd, dce)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCompAux1(wzz48000, wzz49000, wzz211, cbf) → new_primCompAux0(wzz211, new_compare31(wzz48000, wzz49000, cbf))
new_lt9(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_lt19(wzz48001, wzz49001, bee, bef)
new_esEs10(wzz400, wzz3000, app(app(ty_Either, fb), fc)) → new_esEs5(wzz400, wzz3000, fb, fc)
new_compare31(wzz48000, wzz49000, ty_Char) → new_compare5(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_lt19(wzz48000, wzz49000, gd, ge)
new_lt9(wzz48001, wzz49001, ty_Ordering) → new_lt13(wzz48001, wzz49001)
new_asAs(False, wzz178) → False
new_ltEs20(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_esEs10(wzz400, wzz3000, app(app(app(ty_@3, fd), ff), fg)) → new_esEs6(wzz400, wzz3000, fd, ff, fg)
new_primMulInt(Pos(wzz4010), Neg(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Pos(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_compare16(wzz48, wzz49) → new_primCmpInt(wzz48, wzz49)
new_esEs29(wzz20, wzz15, ty_Char) → new_esEs12(wzz20, wzz15)
new_primMulNat0(Succ(wzz40100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz300100)) → Zero
new_ltEs13(Left(wzz48000), Right(wzz49000), cbd, cbe) → True
new_esEs32(wzz37, wzz32, ty_Ordering) → new_esEs11(wzz37, wzz32)
new_esEs21(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_esEs5(wzz48001, wzz49001, bdg, bdh)
new_esEs23(wzz401, wzz3001, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs6(wzz401, wzz3001, bgc, bgd, bge)
new_ltEs11(EQ, LT) → False
new_esEs9(wzz401, wzz3001, app(ty_Maybe, dg)) → new_esEs4(wzz401, wzz3001, dg)
new_esEs8(wzz402, wzz3002, app(ty_[], df)) → new_esEs16(wzz402, wzz3002, df)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Ratio, dfc)) → new_ltEs8(wzz48000, wzz49000, dfc)
new_esEs28(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dbh), dca), dcb), caf) → new_esEs6(wzz400, wzz3000, dbh, dca, dcb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_esEs24(wzz400, wzz3000, app(ty_[], cac)) → new_esEs16(wzz400, wzz3000, cac)
new_esEs23(wzz401, wzz3001, app(app(ty_@2, bgg), bgh)) → new_esEs7(wzz401, wzz3001, bgg, bgh)
new_esEs29(wzz20, wzz15, ty_Double) → new_esEs17(wzz20, wzz15)
new_esEs31(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_lt14(wzz48000, wzz49000) → new_esEs11(new_compare17(wzz48000, wzz49000), LT)
new_compare31(wzz48000, wzz49000, app(ty_Ratio, dac)) → new_compare15(wzz48000, wzz49000, dac)
new_compare110(wzz48000, wzz49000, True, bfa, bfb, bfc) → LT
new_esEs31(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_esEs8(wzz402, wzz3002, ty_Integer) → new_esEs15(wzz402, wzz3002)
new_lt10(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_esEs28(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_ltEs18(wzz48002, wzz49002, ty_Char) → new_ltEs5(wzz48002, wzz49002)
new_compare31(wzz48000, wzz49000, app(ty_Maybe, dad)) → new_compare14(wzz48000, wzz49000, dad)
new_esEs25(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_esEs6(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_ltEs9(False, True) → True
new_compare27(wzz48000, wzz49000, False, bfa, bfb, bfc) → new_compare110(wzz48000, wzz49000, new_ltEs17(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_esEs23(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs30(wzz40, wzz300, app(app(ty_Either, cae), caf)) → new_esEs5(wzz40, wzz300, cae, caf)
new_esEs10(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Int) → new_compare16(new_sr(wzz48000, wzz49001), new_sr(wzz49000, wzz48001))
new_ltEs13(Right(wzz48000), Left(wzz49000), cbd, cbe) → False
new_esEs24(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_lt9(wzz48001, wzz49001, ty_Integer) → new_lt4(wzz48001, wzz49001)
new_compare25(Left(wzz4800), Left(wzz4900), False, cba, cbb) → new_compare111(wzz4800, wzz4900, new_ltEs19(wzz4800, wzz4900, cba), cba, cbb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_@2, dgc), dgd)) → new_ltEs4(wzz48000, wzz49000, dgc, dgd)
new_lt10(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_esEs32(wzz37, wzz32, app(app(app(ty_@3, chd), che), chf)) → new_esEs6(wzz37, wzz32, chd, che, chf)
new_lt11(wzz48000, wzz49000) → new_esEs11(new_compare5(wzz48000, wzz49000), LT)
new_ltEs7(Just(wzz48000), Nothing, hc) → False
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Maybe, dcg)) → new_esEs4(wzz400, wzz3000, dcg)
new_esEs8(wzz402, wzz3002, app(ty_Ratio, dc)) → new_esEs14(wzz402, wzz3002, dc)
new_esEs16([], [], cah) → True
new_ltEs20(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_esEs29(wzz20, wzz15, ty_Int) → new_esEs20(wzz20, wzz15)
new_ltEs21(wzz48001, wzz49001, ty_@0) → new_ltEs15(wzz48001, wzz49001)
new_esEs8(wzz402, wzz3002, app(ty_Maybe, cd)) → new_esEs4(wzz402, wzz3002, cd)
new_compare30(wzz48000, wzz49000, bfa, bfb, bfc) → new_compare27(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_esEs27(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_compare7(Integer(wzz48000), Integer(wzz49000)) → new_primCmpInt(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_lt15(wzz48000, wzz49000, ceg, ceh)
new_lt10(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, app(ty_Maybe, dge)) → new_esEs4(wzz40, wzz300, dge)
new_ltEs19(wzz4800, wzz4900, app(ty_Maybe, hc)) → new_ltEs7(wzz4800, wzz4900, hc)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_Either, dbf), dbg), caf) → new_esEs5(wzz400, wzz3000, dbf, dbg)
new_ltEs21(wzz48001, wzz49001, app(ty_Maybe, cdd)) → new_ltEs7(wzz48001, wzz49001, cdd)
new_ltEs19(wzz4800, wzz4900, app(app(app(ty_@3, bbh), bca), bcb)) → new_ltEs17(wzz4800, wzz4900, bbh, bca, bcb)
new_esEs29(wzz20, wzz15, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs6(wzz20, wzz15, bba, bbb, bbc)
new_compare6(wzz48000, wzz49000, gd, ge) → new_compare24(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, gd, ge), gd, ge)
new_esEs30(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_lt10(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt18(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt6(wzz48000, wzz49000, gh) → new_esEs11(new_compare14(wzz48000, wzz49000, gh), LT)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_@2, cgf), cgg)) → new_esEs7(wzz400, wzz3000, cgf, cgg)
new_esEs18(Float(wzz400, wzz401), Float(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_lt10(wzz48000, wzz49000, app(ty_[], beh)) → new_lt16(wzz48000, wzz49000, beh)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_[], hh)) → new_ltEs14(wzz48000, wzz49000, hh)
new_esEs10(wzz400, wzz3000, app(ty_Ratio, fh)) → new_esEs14(wzz400, wzz3000, fh)
new_ltEs21(wzz48001, wzz49001, ty_Float) → new_ltEs12(wzz48001, wzz49001)
new_esEs28(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_@2, ddf), ddg)) → new_esEs7(wzz400, wzz3000, ddf, ddg)
new_esEs23(wzz401, wzz3001, app(ty_[], bha)) → new_esEs16(wzz401, wzz3001, bha)
new_esEs9(wzz401, wzz3001, app(app(app(ty_@3, eb), ec), ed)) → new_esEs6(wzz401, wzz3001, eb, ec, ed)
new_esEs22(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_compare111(wzz183, wzz184, True, bfd, bfe) → LT
new_compare17(Float(wzz48000, wzz48001), Float(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_primPlusNat1(Zero, Zero) → Zero
new_lt9(wzz48001, wzz49001, ty_@0) → new_lt7(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_esEs6(wzz48001, wzz49001, beb, bec, bed)
new_lt10(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_asAs(True, wzz178) → wzz178
new_primMulNat0(Succ(wzz40100), Succ(wzz300100)) → new_primPlusNat0(new_primMulNat0(wzz40100, Succ(wzz300100)), wzz300100)
new_ltEs19(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_esEs11(LT, LT) → True
new_esEs5(Left(wzz400), Left(wzz3000), ty_Int, caf) → new_esEs20(wzz400, wzz3000)
new_esEs8(wzz402, wzz3002, ty_@0) → new_esEs13(wzz402, wzz3002)
new_esEs9(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Integer) → new_esEs15(wzz400, wzz3000)
new_compare27(wzz48000, wzz49000, True, bfa, bfb, bfc) → EQ
new_ltEs19(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs6(wzz4800, wzz4900) → new_fsEs(new_compare7(wzz4800, wzz4900))
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Bool, cbe) → new_ltEs9(wzz48000, wzz49000)
new_esEs29(wzz20, wzz15, app(ty_Ratio, bbd)) → new_esEs14(wzz20, wzz15, bbd)
new_ltEs18(wzz48002, wzz49002, app(app(ty_@2, bdc), bdd)) → new_ltEs4(wzz48002, wzz49002, bdc, bdd)
new_esEs29(wzz20, wzz15, app(ty_Maybe, baf)) → new_esEs4(wzz20, wzz15, baf)
new_esEs32(wzz37, wzz32, ty_Int) → new_esEs20(wzz37, wzz32)
new_lt9(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_lt15(wzz48001, wzz49001, bdg, bdh)
new_esEs11(EQ, GT) → False
new_esEs11(GT, EQ) → False
new_ltEs17(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), bbh, bca, bcb) → new_pePe(new_lt10(wzz48000, wzz49000, bbh), new_asAs(new_esEs22(wzz48000, wzz49000, bbh), new_pePe(new_lt9(wzz48001, wzz49001, bca), new_asAs(new_esEs21(wzz48001, wzz49001, bca), new_ltEs18(wzz48002, wzz49002, bcb)))))
new_ltEs20(wzz4800, wzz4900, app(ty_Maybe, ccb)) → new_ltEs7(wzz4800, wzz4900, ccb)
new_compare110(wzz48000, wzz49000, False, bfa, bfb, bfc) → GT
new_esEs22(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_esEs5(wzz48000, wzz49000, ha, hb)
new_esEs30(wzz40, wzz300, app(app(app(ty_@3, ca), cb), cc)) → new_esEs6(wzz40, wzz300, ca, cb, cc)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_esEs21(wzz48001, wzz49001, app(ty_[], bea)) → new_esEs16(wzz48001, wzz49001, bea)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs15(wzz4800, wzz4900) → new_fsEs(new_compare18(wzz4800, wzz4900))
new_primCompAux0(wzz224, EQ) → wzz224
new_ltEs11(EQ, GT) → True
new_lt10(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_lt15(wzz48000, wzz49000, ha, hb)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Float, caf) → new_esEs18(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(ty_Maybe, fa)) → new_esEs4(wzz400, wzz3000, fa)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_lt10(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs31(wzz40, wzz300, app(app(ty_@2, dhd), dhe)) → new_esEs7(wzz40, wzz300, dhd, dhe)
new_esEs27(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs30(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_primCmpInt(Neg(Succ(wzz4800)), Pos(wzz490)) → LT
new_not(True) → False

The set Q consists of the following terms:

new_ltEs15(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Double)
new_esEs13(@0, @0)
new_ltEs14(x0, x1, x2)
new_compare111(x0, x1, False, x2, x3)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs11(EQ, GT)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_ltEs11(GT, EQ)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs19(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primCompAux1(x0, x1, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare111(x0, x1, True, x2, x3)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Bool)
new_esEs4(Nothing, Just(x0), x1)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCompAux0(x0, GT)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_ltEs11(EQ, EQ)
new_asAs(False, x0)
new_lt10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_lt14(x0, x1)
new_ltEs16(x0, x1)
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs25(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_sr0(Integer(x0), Integer(x1))
new_lt9(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare11(x0, x1, False, x2, x3)
new_lt6(x0, x1, x2)
new_lt8(x0, x1)
new_sr(x0, x1)
new_lt9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_compare28(x0, x1, False)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Bool)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare7(Integer(x0), Integer(x1))
new_esEs29(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, x2, x3, x4)
new_lt10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_esEs22(x0, x1, ty_@0)
new_lt9(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_compare31(x0, x1, ty_Ordering)
new_lt11(x0, x1)
new_esEs25(x0, x1, ty_Bool)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Zero)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_compare29(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Int)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Int)
new_esEs24(x0, x1, ty_Int)
new_esEs19(True, True)
new_primMulNat0(Succ(x0), Succ(x1))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_lt13(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs11(EQ, GT)
new_esEs11(GT, EQ)
new_esEs24(x0, x1, ty_Bool)
new_esEs8(x0, x1, ty_Bool)
new_compare18(@0, @0)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Double)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:(x0, x1), :(x2, x3), x4)
new_compare25(x0, x1, True, x2, x3)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Ordering)
new_lt10(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Succ(x0), Zero)
new_esEs23(x0, x1, ty_Int)
new_lt9(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Char)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_ltEs18(x0, x1, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_ltEs9(False, False)
new_esEs8(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Zero)
new_esEs28(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare6(x0, x1, x2, x3)
new_compare31(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt10(x0, x1, ty_Double)
new_compare24(x0, x1, False, x2, x3)
new_compare9(x0, x1)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(:(x0, x1), [], x2)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs32(x0, x1, ty_Int)
new_compare13(x0, x1, False)
new_esEs9(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_[], x2))
new_esEs22(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs11(GT, LT)
new_esEs11(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare12(x0, x1, False, x2)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_ltEs8(x0, x1, x2)
new_ltEs18(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_lt17(x0, x1)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs6(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Float)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_ltEs7(Just(x0), Nothing, x1)
new_compare19(x0, x1, True)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare(:(x0, x1), [], x2)
new_esEs26(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(False, True)
new_esEs19(True, False)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs30(x0, x1, ty_Int)
new_esEs11(LT, LT)
new_esEs24(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare31(x0, x1, ty_Int)
new_lt10(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_Float)
new_ltEs9(True, True)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Ordering)
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs31(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Ordering)
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare10(x0, x1, True, x2, x3)
new_esEs21(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare5(Char(x0), Char(x1))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs10(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_compare13(x0, x1, True)
new_compare10(x0, x1, False, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs11(EQ, LT)
new_esEs11(LT, EQ)
new_esEs25(x0, x1, ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs19(False, False)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, True, x2, x3)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_@0)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt10(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Float)
new_lt9(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Float)
new_lt9(x0, x1, ty_Double)
new_lt9(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, ty_Int)
new_lt9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_lt20(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1)
new_compare([], [], x0)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_compare16(x0, x1)
new_esEs21(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Double)
new_esEs22(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs11(LT, LT)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1)
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs11(EQ, LT)
new_pePe(True, x0)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs11(LT, EQ)
new_primMulNat0(Zero, Succ(x0))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_lt9(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs10(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Succ(x0), x1)
new_esEs31(x0, x1, ty_Char)
new_lt18(x0, x1, x2, x3, x4)
new_lt9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_Double)
new_compare(:(x0, x1), :(x2, x3), x4)
new_compare17(Float(x0, x1), Float(x2, x3))
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt10(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Float)
new_esEs23(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Integer)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs11(GT, GT)
new_esEs18(Float(x0, x1), Float(x2, x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_not(True)
new_lt10(x0, x1, ty_Bool)
new_esEs16([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt9(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_lt9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare28(x0, x1, True)
new_fsEs(x0)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Bool)
new_esEs12(Char(x0), Char(x1))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs32(x0, x1, ty_Integer)
new_compare26(x0, x1, True, x2)
new_compare110(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Integer)
new_lt16(x0, x1, x2)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare8(x0, x1, x2, x3)
new_primPlusNat1(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs4(Nothing, Nothing, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs16([], [], x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_lt12(x0, x1, x2)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs28(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare210(x0, x1, False)
new_esEs8(x0, x1, ty_Double)
new_lt10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Nothing, Just(x0), x1)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_compare19(x0, x1, False)
new_lt20(x0, x1, ty_Integer)
new_primCompAux0(x0, EQ)
new_ltEs18(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux0(x0, LT)
new_lt10(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_pePe(False, x0)
new_compare110(x0, x1, True, x2, x3, x4)
new_lt10(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs15(Integer(x0), Integer(x1))
new_compare31(x0, x1, ty_Float)
new_esEs11(EQ, EQ)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare([], :(x0, x1), x2)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_Float)
new_compare32(x0, x1)
new_ltEs19(x0, x1, ty_@0)
new_compare24(x0, x1, True, x2, x3)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare14(x0, x1, x2)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_primPlusNat1(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Ordering)
new_lt15(x0, x1, x2, x3)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs11(GT, GT)

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

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

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

new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz33, Left(wzz40), wzz5, bc, bd, be)
new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, False, bc, bd, be) → new_addToFM_C10(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Right(wzz300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C2(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, False, h, ba, bb) → new_addToFM_C1(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, new_esEs11(new_compare25(Left(wzz20), Left(wzz15), new_esEs29(wzz20, wzz15, h), h, ba), GT), h, ba, bb)
new_addToFM_C(Branch(Right(wzz300), wzz31, wzz32, wzz33, wzz34), Left(wzz40), wzz5, bc, bd, be) → new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Right(wzz300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C10(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz34, Left(wzz40), wzz5, bc, bd, be)
new_addToFM_C1(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, True, h, ba, bb) → new_addToFM_C(wzz19, Left(wzz20), wzz21, h, ba, bb)
new_addToFM_C2(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, True, h, ba, bb) → new_addToFM_C(wzz18, Left(wzz20), wzz21, h, ba, bb)
new_addToFM_C(Branch(Left(wzz300), wzz31, wzz32, wzz33, wzz34), Left(wzz40), wzz5, bc, bd, be) → new_addToFM_C2(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Left(wzz300), new_esEs30(wzz40, wzz300, bc), bc, bd), LT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs30(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_esEs30(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_esEs30(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs30(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_esEs30(wzz40, wzz300, app(ty_Maybe, cad)) → new_esEs4(wzz40, wzz300, cad)
new_esEs30(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_esEs30(wzz40, wzz300, app(ty_Ratio, cag)) → new_esEs14(wzz40, wzz300, cag)
new_esEs30(wzz40, wzz300, app(app(ty_@2, bff), bfg)) → new_esEs7(wzz40, wzz300, bff, bfg)
new_esEs30(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_esEs30(wzz40, wzz300, app(ty_[], cah)) → new_esEs16(wzz40, wzz300, cah)
new_esEs30(wzz40, wzz300, app(app(ty_Either, cae), caf)) → new_esEs5(wzz40, wzz300, cae, caf)
new_esEs30(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_esEs30(wzz40, wzz300, app(app(app(ty_@3, ca), cb), cc)) → new_esEs6(wzz40, wzz300, ca, cb, cc)
new_esEs30(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_compare25(wzz480, wzz490, True, cba, cbb) → EQ
new_compare25(Left(wzz4800), Left(wzz4900), False, cba, cbb) → new_compare111(wzz4800, wzz4900, new_ltEs19(wzz4800, wzz4900, cba), cba, cbb)
new_esEs11(GT, LT) → False
new_esEs11(EQ, LT) → False
new_esEs11(LT, LT) → True
new_ltEs19(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(app(ty_@2, cbg), cbh)) → new_ltEs4(wzz4800, wzz4900, cbg, cbh)
new_ltEs19(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_Ratio, cbc)) → new_ltEs8(wzz4800, wzz4900, cbc)
new_ltEs19(wzz4800, wzz4900, app(app(ty_Either, cbd), cbe)) → new_ltEs13(wzz4800, wzz4900, cbd, cbe)
new_ltEs19(wzz4800, wzz4900, app(ty_[], cbf)) → new_ltEs14(wzz4800, wzz4900, cbf)
new_ltEs19(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_Maybe, hc)) → new_ltEs7(wzz4800, wzz4900, hc)
new_ltEs19(wzz4800, wzz4900, app(app(app(ty_@3, bbh), bca), bcb)) → new_ltEs17(wzz4800, wzz4900, bbh, bca, bcb)
new_ltEs19(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_compare111(wzz183, wzz184, False, bfd, bfe) → GT
new_compare111(wzz183, wzz184, True, bfd, bfe) → LT
new_ltEs5(wzz4800, wzz4900) → new_fsEs(new_compare5(wzz4800, wzz4900))
new_compare5(Char(wzz48000), Char(wzz49000)) → new_primCmpNat0(wzz48000, wzz49000)
new_fsEs(wzz193) → new_not(new_esEs11(wzz193, GT))
new_esEs11(GT, GT) → True
new_esEs11(LT, GT) → False
new_esEs11(EQ, GT) → False
new_not(False) → True
new_not(True) → False
new_primCmpNat0(Zero, Succ(wzz4900)) → LT
new_primCmpNat0(Succ(wzz4800), Succ(wzz4900)) → new_primCmpNat0(wzz4800, wzz4900)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(wzz4800), Zero) → GT
new_ltEs12(wzz4800, wzz4900) → new_fsEs(new_compare17(wzz4800, wzz4900))
new_compare17(Float(wzz48000, wzz48001), Float(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_sr(wzz401, wzz3001) → new_primMulInt(wzz401, wzz3001)
new_compare16(wzz48, wzz49) → new_primCmpInt(wzz48, wzz49)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz4800)), Neg(wzz490)) → new_primCmpNat0(wzz490, Succ(wzz4800))
new_primCmpInt(Neg(Zero), Pos(Succ(wzz4900))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(wzz4900))) → new_primCmpNat0(Zero, Succ(wzz4900))
new_primCmpInt(Pos(Succ(wzz4800)), Pos(wzz490)) → new_primCmpNat0(Succ(wzz4800), wzz490)
new_primCmpInt(Pos(Succ(wzz4800)), Neg(wzz490)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(wzz4900))) → new_primCmpNat0(Succ(wzz4900), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz4900))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz4800)), Pos(wzz490)) → LT
new_primMulInt(Pos(wzz4010), Pos(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Neg(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Pos(wzz4010), Neg(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Pos(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(wzz40100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz300100)) → Zero
new_primMulNat0(Succ(wzz40100), Succ(wzz300100)) → new_primPlusNat0(new_primMulNat0(wzz40100, Succ(wzz300100)), wzz300100)
new_primPlusNat0(Succ(wzz1420), wzz300100) → Succ(Succ(new_primPlusNat1(wzz1420, wzz300100)))
new_primPlusNat0(Zero, wzz300100) → Succ(wzz300100)
new_primPlusNat1(Succ(wzz51200), Zero) → Succ(wzz51200)
new_primPlusNat1(Zero, Succ(wzz13300)) → Succ(wzz13300)
new_primPlusNat1(Succ(wzz51200), Succ(wzz13300)) → Succ(Succ(new_primPlusNat1(wzz51200, wzz13300)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs17(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), bbh, bca, bcb) → new_pePe(new_lt10(wzz48000, wzz49000, bbh), new_asAs(new_esEs22(wzz48000, wzz49000, bbh), new_pePe(new_lt9(wzz48001, wzz49001, bca), new_asAs(new_esEs21(wzz48001, wzz49001, bca), new_ltEs18(wzz48002, wzz49002, bcb)))))
new_lt10(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_lt12(wzz48000, wzz49000, beg)
new_lt10(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_lt6(wzz48000, wzz49000, gh)
new_lt10(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_lt19(wzz48000, wzz49000, gd, ge)
new_lt10(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt18(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt10(wzz48000, wzz49000, app(ty_[], beh)) → new_lt16(wzz48000, wzz49000, beh)
new_lt10(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_lt15(wzz48000, wzz49000, ha, hb)
new_lt10(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_esEs14(wzz48000, wzz49000, beg)
new_esEs22(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_esEs7(wzz48000, wzz49000, gd, ge)
new_esEs22(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc)
new_esEs22(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_esEs4(wzz48000, wzz49000, gh)
new_esEs22(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(ty_[], beh)) → new_esEs16(wzz48000, wzz49000, beh)
new_esEs22(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_esEs5(wzz48000, wzz49000, ha, hb)
new_lt9(wzz48001, wzz49001, ty_Char) → new_lt11(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_lt18(wzz48001, wzz49001, beb, bec, bed)
new_lt9(wzz48001, wzz49001, ty_Int) → new_lt8(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_lt12(wzz48001, wzz49001, bde)
new_lt9(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_lt6(wzz48001, wzz49001, bdf)
new_lt9(wzz48001, wzz49001, ty_Float) → new_lt14(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(ty_[], bea)) → new_lt16(wzz48001, wzz49001, bea)
new_lt9(wzz48001, wzz49001, ty_Double) → new_lt17(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_Bool) → new_lt5(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_lt19(wzz48001, wzz49001, bee, bef)
new_lt9(wzz48001, wzz49001, ty_Ordering) → new_lt13(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_Integer) → new_lt4(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_@0) → new_lt7(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_lt15(wzz48001, wzz49001, bdg, bdh)
new_esEs21(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_esEs14(wzz48001, wzz49001, bde)
new_esEs21(wzz48001, wzz49001, ty_Int) → new_esEs20(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Char) → new_esEs12(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_esEs7(wzz48001, wzz49001, bee, bef)
new_esEs21(wzz48001, wzz49001, ty_Bool) → new_esEs19(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_@0) → new_esEs13(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Double) → new_esEs17(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Integer) → new_esEs15(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Ordering) → new_esEs11(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Float) → new_esEs18(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_esEs4(wzz48001, wzz49001, bdf)
new_esEs21(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_esEs5(wzz48001, wzz49001, bdg, bdh)
new_esEs21(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_esEs6(wzz48001, wzz49001, beb, bec, bed)
new_esEs21(wzz48001, wzz49001, app(ty_[], bea)) → new_esEs16(wzz48001, wzz49001, bea)
new_ltEs18(wzz48002, wzz49002, ty_Integer) → new_ltEs6(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Int) → new_ltEs10(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Double) → new_ltEs16(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(ty_Either, bce), bcf)) → new_ltEs13(wzz48002, wzz49002, bce, bcf)
new_ltEs18(wzz48002, wzz49002, app(ty_[], bcg)) → new_ltEs14(wzz48002, wzz49002, bcg)
new_ltEs18(wzz48002, wzz49002, ty_@0) → new_ltEs15(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(ty_Ratio, bcc)) → new_ltEs8(wzz48002, wzz49002, bcc)
new_ltEs18(wzz48002, wzz49002, app(ty_Maybe, bcd)) → new_ltEs7(wzz48002, wzz49002, bcd)
new_ltEs18(wzz48002, wzz49002, ty_Ordering) → new_ltEs11(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(app(ty_@3, bch), bda), bdb)) → new_ltEs17(wzz48002, wzz49002, bch, bda, bdb)
new_ltEs18(wzz48002, wzz49002, ty_Bool) → new_ltEs9(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Float) → new_ltEs12(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Char) → new_ltEs5(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(ty_@2, bdc), bdd)) → new_ltEs4(wzz48002, wzz49002, bdc, bdd)
new_asAs(False, wzz178) → False
new_asAs(True, wzz178) → wzz178
new_pePe(False, wzz210) → wzz210
new_pePe(True, wzz210) → True
new_ltEs4(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), cbg, cbh) → new_pePe(new_lt20(wzz48000, wzz49000, cbg), new_asAs(new_esEs25(wzz48000, wzz49000, cbg), new_ltEs21(wzz48001, wzz49001, cbh)))
new_lt20(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_lt12(wzz48000, wzz49000, cee)
new_lt20(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_lt18(wzz48000, wzz49000, cfb, cfc, cfd)
new_lt20(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_lt19(wzz48000, wzz49000, cfe, cff)
new_lt20(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_lt6(wzz48000, wzz49000, cef)
new_lt20(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(ty_[], cfa)) → new_lt16(wzz48000, wzz49000, cfa)
new_lt20(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_lt15(wzz48000, wzz49000, ceg, ceh)
new_esEs25(wzz48000, wzz49000, app(ty_[], cfa)) → new_esEs16(wzz48000, wzz49000, cfa)
new_esEs25(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_esEs7(wzz48000, wzz49000, cfe, cff)
new_esEs25(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_esEs5(wzz48000, wzz49000, ceg, ceh)
new_esEs25(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_esEs4(wzz48000, wzz49000, cef)
new_esEs25(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_esEs14(wzz48000, wzz49000, cee)
new_esEs25(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_esEs6(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_ltEs21(wzz48001, wzz49001, ty_Bool) → new_ltEs9(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(app(app(ty_@3, cdh), cea), ceb)) → new_ltEs17(wzz48001, wzz49001, cdh, cea, ceb)
new_ltEs21(wzz48001, wzz49001, app(app(ty_@2, cec), ced)) → new_ltEs4(wzz48001, wzz49001, cec, ced)
new_ltEs21(wzz48001, wzz49001, app(app(ty_Either, cde), cdf)) → new_ltEs13(wzz48001, wzz49001, cde, cdf)
new_ltEs21(wzz48001, wzz49001, app(ty_[], cdg)) → new_ltEs14(wzz48001, wzz49001, cdg)
new_ltEs21(wzz48001, wzz49001, ty_Int) → new_ltEs10(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Ordering) → new_ltEs11(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(ty_Ratio, cdc)) → new_ltEs8(wzz48001, wzz49001, cdc)
new_ltEs21(wzz48001, wzz49001, ty_Double) → new_ltEs16(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Char) → new_ltEs5(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Integer) → new_ltEs6(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_@0) → new_ltEs15(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(ty_Maybe, cdd)) → new_ltEs7(wzz48001, wzz49001, cdd)
new_ltEs21(wzz48001, wzz49001, ty_Float) → new_ltEs12(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, baa), bab), bac)) → new_ltEs17(wzz48000, wzz49000, baa, bab, bac)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Maybe, deb), cbe) → new_ltEs7(wzz48000, wzz49000, deb)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Maybe, he)) → new_ltEs7(wzz48000, wzz49000, he)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Maybe, dfd)) → new_ltEs7(wzz48000, wzz49000, dfd)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_Either, dfe), dff)) → new_ltEs13(wzz48000, wzz49000, dfe, dff)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_Either, hf), hg)) → new_ltEs13(wzz48000, wzz49000, hf, hg)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_Either, dec), ded), cbe) → new_ltEs13(wzz48000, wzz49000, dec, ded)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bad), bae)) → new_ltEs4(wzz48000, wzz49000, bad, bae)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_ltEs7(Nothing, Just(wzz49000), hc) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Ratio, hd)) → new_ltEs8(wzz48000, wzz49000, hd)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_ltEs7(Nothing, Nothing, hc) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Nothing, hc) → False
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_[], hh)) → new_ltEs14(wzz48000, wzz49000, hh)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_ltEs16(wzz4800, wzz4900) → new_fsEs(new_compare29(wzz4800, wzz4900))
new_compare29(Double(wzz48000, wzz48001), Double(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_ltEs14(wzz4800, wzz4900, cbf) → new_fsEs(new_compare(wzz4800, wzz4900, cbf))
new_compare([], :(wzz49000, wzz49001), cbf) → LT
new_compare(:(wzz48000, wzz48001), [], cbf) → GT
new_compare(:(wzz48000, wzz48001), :(wzz49000, wzz49001), cbf) → new_primCompAux1(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, cbf), cbf)
new_compare([], [], cbf) → EQ
new_primCompAux1(wzz48000, wzz49000, wzz211, cbf) → new_primCompAux0(wzz211, new_compare31(wzz48000, wzz49000, cbf))
new_compare31(wzz48000, wzz49000, ty_Double) → new_compare29(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(app(ty_@2, dbc), dbd)) → new_compare6(wzz48000, wzz49000, dbc, dbd)
new_compare31(wzz48000, wzz49000, app(app(app(ty_@3, dah), dba), dbb)) → new_compare30(wzz48000, wzz49000, dah, dba, dbb)
new_compare31(wzz48000, wzz49000, ty_Ordering) → new_compare32(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Integer) → new_compare7(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Float) → new_compare17(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(app(ty_Either, dae), daf)) → new_compare8(wzz48000, wzz49000, dae, daf)
new_compare31(wzz48000, wzz49000, ty_@0) → new_compare18(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(ty_[], dag)) → new_compare(wzz48000, wzz49000, dag)
new_compare31(wzz48000, wzz49000, ty_Bool) → new_compare9(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Int) → new_compare16(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Char) → new_compare5(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(ty_Ratio, dac)) → new_compare15(wzz48000, wzz49000, dac)
new_compare31(wzz48000, wzz49000, app(ty_Maybe, dad)) → new_compare14(wzz48000, wzz49000, dad)
new_primCompAux0(wzz224, GT) → GT
new_primCompAux0(wzz224, LT) → LT
new_primCompAux0(wzz224, EQ) → wzz224
new_compare14(wzz48000, wzz49000, gh) → new_compare26(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, gh), gh)
new_esEs4(Just(wzz400), Nothing, cad) → False
new_esEs4(Nothing, Just(wzz3000), cad) → False
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Ratio, cge)) → new_esEs14(wzz400, wzz3000, cge)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, cgb), cgc), cgd)) → new_esEs6(wzz400, wzz3000, cgb, cgc, cgd)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Maybe, dcg)) → new_esEs4(wzz400, wzz3000, dcg)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Maybe, dbe), caf) → new_esEs4(wzz400, wzz3000, dbe)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Maybe, cfg)) → new_esEs4(wzz400, wzz3000, cfg)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_Either, dch), dda)) → new_esEs5(wzz400, wzz3000, dch, dda)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_Either, dbf), dbg), caf) → new_esEs5(wzz400, wzz3000, dbf, dbg)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_Either, cfh), cga)) → new_esEs5(wzz400, wzz3000, cfh, cga)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs4(Nothing, Nothing, cad) → True
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_[], cgh)) → new_esEs16(wzz400, wzz3000, cgh)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_@2, cgf), cgg)) → new_esEs7(wzz400, wzz3000, cgf, cgg)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Integer) → new_esEs15(wzz400, wzz3000)
new_compare26(wzz48000, wzz49000, True, gh) → EQ
new_compare26(wzz48000, wzz49000, False, gh) → new_compare12(wzz48000, wzz49000, new_ltEs7(wzz48000, wzz49000, gh), gh)
new_compare12(wzz48000, wzz49000, False, gh) → GT
new_compare12(wzz48000, wzz49000, True, gh) → LT
new_esEs15(Integer(wzz400), Integer(wzz3000)) → new_primEqInt(wzz400, wzz3000)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(wzz4000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Pos(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Neg(wzz3000)) → False
new_primEqInt(Neg(Succ(wzz4000)), Pos(wzz3000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(wzz4000), Succ(wzz30000)) → new_primEqNat0(wzz4000, wzz30000)
new_primEqNat0(Zero, Succ(wzz30000)) → False
new_primEqNat0(Succ(wzz4000), Zero) → False
new_esEs7(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bff, bfg) → new_asAs(new_esEs24(wzz400, wzz3000, bff), new_esEs23(wzz401, wzz3001, bfg))
new_esEs24(wzz400, wzz3000, app(app(ty_Either, bhc), bhd)) → new_esEs5(wzz400, wzz3000, bhc, bhd)
new_esEs24(wzz400, wzz3000, app(ty_Maybe, bhb)) → new_esEs4(wzz400, wzz3000, bhb)
new_esEs24(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(ty_Ratio, bhh)) → new_esEs14(wzz400, wzz3000, bhh)
new_esEs24(wzz400, wzz3000, app(app(ty_@2, caa), cab)) → new_esEs7(wzz400, wzz3000, caa, cab)
new_esEs24(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs6(wzz400, wzz3000, bhe, bhf, bhg)
new_esEs24(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(ty_[], cac)) → new_esEs16(wzz400, wzz3000, cac)
new_esEs24(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(app(ty_Either, bga), bgb)) → new_esEs5(wzz401, wzz3001, bga, bgb)
new_esEs23(wzz401, wzz3001, app(ty_Maybe, bfh)) → new_esEs4(wzz401, wzz3001, bfh)
new_esEs23(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(ty_Ratio, bgf)) → new_esEs14(wzz401, wzz3001, bgf)
new_esEs23(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs6(wzz401, wzz3001, bgc, bgd, bge)
new_esEs23(wzz401, wzz3001, app(app(ty_@2, bgg), bgh)) → new_esEs7(wzz401, wzz3001, bgg, bgh)
new_esEs23(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(ty_[], bha)) → new_esEs16(wzz401, wzz3001, bha)
new_esEs16(:(wzz400, wzz401), [], cah) → False
new_esEs16([], :(wzz3000, wzz3001), cah) → False
new_esEs16(:(wzz400, wzz401), :(wzz3000, wzz3001), cah) → new_asAs(new_esEs28(wzz400, wzz3000, cah), new_esEs16(wzz401, wzz3001, cah))
new_esEs16([], [], cah) → True
new_esEs28(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, app(ty_Maybe, dhg)) → new_esEs4(wzz400, wzz3000, dhg)
new_esEs28(wzz400, wzz3000, app(app(ty_@2, eaf), eag)) → new_esEs7(wzz400, wzz3000, eaf, eag)
new_esEs28(wzz400, wzz3000, app(app(ty_Either, dhh), eaa)) → new_esEs5(wzz400, wzz3000, dhh, eaa)
new_esEs28(wzz400, wzz3000, app(ty_Ratio, eae)) → new_esEs14(wzz400, wzz3000, eae)
new_esEs28(wzz400, wzz3000, app(ty_[], eah)) → new_esEs16(wzz400, wzz3000, eah)
new_esEs28(wzz400, wzz3000, app(app(app(ty_@3, eab), eac), ead)) → new_esEs6(wzz400, wzz3000, eab, eac, ead)
new_esEs28(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs12(Char(wzz400), Char(wzz3000)) → new_primEqNat0(wzz400, wzz3000)
new_esEs17(Double(wzz400, wzz401), Double(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs20(wzz40, wzz300) → new_primEqInt(wzz40, wzz300)
new_esEs6(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ca, cb, cc) → new_asAs(new_esEs10(wzz400, wzz3000, ca), new_asAs(new_esEs9(wzz401, wzz3001, cb), new_esEs8(wzz402, wzz3002, cc)))
new_esEs10(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(app(ty_@2, ga), gb)) → new_esEs7(wzz400, wzz3000, ga, gb)
new_esEs10(wzz400, wzz3000, app(ty_[], gc)) → new_esEs16(wzz400, wzz3000, gc)
new_esEs10(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(app(ty_Either, fb), fc)) → new_esEs5(wzz400, wzz3000, fb, fc)
new_esEs10(wzz400, wzz3000, app(app(app(ty_@3, fd), ff), fg)) → new_esEs6(wzz400, wzz3000, fd, ff, fg)
new_esEs10(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(ty_Ratio, fh)) → new_esEs14(wzz400, wzz3000, fh)
new_esEs10(wzz400, wzz3000, app(ty_Maybe, fa)) → new_esEs4(wzz400, wzz3000, fa)
new_esEs9(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(ty_Ratio, ee)) → new_esEs14(wzz401, wzz3001, ee)
new_esEs9(wzz401, wzz3001, app(ty_[], eh)) → new_esEs16(wzz401, wzz3001, eh)
new_esEs9(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(app(ty_@2, ef), eg)) → new_esEs7(wzz401, wzz3001, ef, eg)
new_esEs9(wzz401, wzz3001, app(app(ty_Either, dh), ea)) → new_esEs5(wzz401, wzz3001, dh, ea)
new_esEs9(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(ty_Maybe, dg)) → new_esEs4(wzz401, wzz3001, dg)
new_esEs9(wzz401, wzz3001, app(app(app(ty_@3, eb), ec), ed)) → new_esEs6(wzz401, wzz3001, eb, ec, ed)
new_esEs9(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs8(wzz402, wzz3002, ty_Double) → new_esEs17(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Ordering) → new_esEs11(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Int) → new_esEs20(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Char) → new_esEs12(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Float) → new_esEs18(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(app(ty_@2, dd), de)) → new_esEs7(wzz402, wzz3002, dd, de)
new_esEs8(wzz402, wzz3002, app(app(ty_Either, ce), cf)) → new_esEs5(wzz402, wzz3002, ce, cf)
new_esEs8(wzz402, wzz3002, app(app(app(ty_@3, cg), da), db)) → new_esEs6(wzz402, wzz3002, cg, da, db)
new_esEs8(wzz402, wzz3002, ty_Bool) → new_esEs19(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(ty_[], df)) → new_esEs16(wzz402, wzz3002, df)
new_esEs8(wzz402, wzz3002, ty_Integer) → new_esEs15(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(ty_Ratio, dc)) → new_esEs14(wzz402, wzz3002, dc)
new_esEs8(wzz402, wzz3002, app(ty_Maybe, cd)) → new_esEs4(wzz402, wzz3002, cd)
new_esEs8(wzz402, wzz3002, ty_@0) → new_esEs13(wzz402, wzz3002)
new_esEs13(@0, @0) → True
new_esEs14(:%(wzz400, wzz401), :%(wzz3000, wzz3001), cag) → new_asAs(new_esEs27(wzz400, wzz3000, cag), new_esEs26(wzz401, wzz3001, cag))
new_esEs27(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs27(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs26(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs26(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs19(True, True) → True
new_esEs19(False, False) → True
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Ratio, dcc), caf) → new_esEs14(wzz400, wzz3000, dcc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Char, caf) → new_esEs12(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Integer, caf) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs6(wzz400, wzz3000, ddb, ddc, ddd)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Ordering, caf) → new_esEs11(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_[], dcf), caf) → new_esEs16(wzz400, wzz3000, dcf)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Ratio, dde)) → new_esEs14(wzz400, wzz3000, dde)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Double, caf) → new_esEs17(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_@0, caf) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Bool, caf) → new_esEs19(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_[], ddh)) → new_esEs16(wzz400, wzz3000, ddh)
new_esEs5(Left(wzz400), Right(wzz3000), cae, caf) → False
new_esEs5(Right(wzz400), Left(wzz3000), cae, caf) → False
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_@2, dcd), dce), caf) → new_esEs7(wzz400, wzz3000, dcd, dce)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dbh), dca), dcb), caf) → new_esEs6(wzz400, wzz3000, dbh, dca, dcb)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_@2, ddf), ddg)) → new_esEs7(wzz400, wzz3000, ddf, ddg)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Int, caf) → new_esEs20(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Float, caf) → new_esEs18(wzz400, wzz3000)
new_esEs18(Float(wzz400, wzz401), Float(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs11(EQ, EQ) → True
new_esEs11(LT, EQ) → False
new_esEs11(GT, EQ) → False
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Integer) → new_compare7(new_sr0(wzz48000, wzz49001), new_sr0(wzz49000, wzz48001))
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Int) → new_compare16(new_sr(wzz48000, wzz49001), new_sr(wzz49000, wzz48001))
new_sr0(Integer(wzz480000), Integer(wzz490010)) → Integer(new_primMulInt(wzz480000, wzz490010))
new_compare7(Integer(wzz48000), Integer(wzz49000)) → new_primCmpInt(wzz48000, wzz49000)
new_compare9(wzz48000, wzz49000) → new_compare28(wzz48000, wzz49000, new_esEs19(wzz48000, wzz49000))
new_compare28(wzz48000, wzz49000, False) → new_compare19(wzz48000, wzz49000, new_ltEs9(wzz48000, wzz49000))
new_compare28(wzz48000, wzz49000, True) → EQ
new_ltEs9(True, False) → False
new_ltEs9(True, True) → True
new_ltEs9(False, False) → True
new_ltEs9(False, True) → True
new_compare19(wzz48000, wzz49000, True) → LT
new_compare19(wzz48000, wzz49000, False) → GT
new_compare18(@0, @0) → EQ
new_compare8(wzz48000, wzz49000, ha, hb) → new_compare25(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, ha, hb), ha, hb)
new_compare25(Right(wzz4800), Right(wzz4900), False, cba, cbb) → new_compare11(wzz4800, wzz4900, new_ltEs20(wzz4800, wzz4900, cbb), cba, cbb)
new_compare25(Right(wzz4800), Left(wzz4900), False, cba, cbb) → GT
new_compare25(Left(wzz4800), Right(wzz4900), False, cba, cbb) → LT
new_ltEs20(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(app(ty_Either, ccc), ccd)) → new_ltEs13(wzz4800, wzz4900, ccc, ccd)
new_ltEs20(wzz4800, wzz4900, app(app(ty_@2, cda), cdb)) → new_ltEs4(wzz4800, wzz4900, cda, cdb)
new_ltEs20(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_[], cce)) → new_ltEs14(wzz4800, wzz4900, cce)
new_ltEs20(wzz4800, wzz4900, app(app(app(ty_@3, ccf), ccg), cch)) → new_ltEs17(wzz4800, wzz4900, ccf, ccg, cch)
new_ltEs20(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_Ratio, cca)) → new_ltEs8(wzz4800, wzz4900, cca)
new_ltEs20(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_Maybe, ccb)) → new_ltEs7(wzz4800, wzz4900, ccb)
new_compare11(wzz190, wzz191, True, gf, gg) → LT
new_compare11(wzz190, wzz191, False, gf, gg) → GT
new_ltEs10(wzz4800, wzz4900) → new_fsEs(new_compare16(wzz4800, wzz4900))
new_ltEs11(LT, GT) → True
new_ltEs11(GT, EQ) → False
new_ltEs11(GT, LT) → False
new_ltEs11(LT, EQ) → True
new_ltEs11(LT, LT) → True
new_ltEs11(GT, GT) → True
new_ltEs11(EQ, EQ) → True
new_ltEs11(EQ, LT) → False
new_ltEs11(EQ, GT) → True
new_ltEs8(wzz4800, wzz4900, cbc) → new_fsEs(new_compare15(wzz4800, wzz4900, cbc))
new_ltEs6(wzz4800, wzz4900) → new_fsEs(new_compare7(wzz4800, wzz4900))
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Char, cbe) → new_ltEs5(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, def), deg), deh), cbe) → new_ltEs17(wzz48000, wzz49000, def, deg, deh)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs17(wzz48000, wzz49000, dfh, dga, dgb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_[], dfg)) → new_ltEs14(wzz48000, wzz49000, dfg)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Ordering, cbe) → new_ltEs11(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_[], dee), cbe) → new_ltEs14(wzz48000, wzz49000, dee)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Double, cbe) → new_ltEs16(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Ratio, dea), cbe) → new_ltEs8(wzz48000, wzz49000, dea)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Float, cbe) → new_ltEs12(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Integer, cbe) → new_ltEs6(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_@0, cbe) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_@2, dfa), dfb), cbe) → new_ltEs4(wzz48000, wzz49000, dfa, dfb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Int, cbe) → new_ltEs10(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Right(wzz49000), cbd, cbe) → True
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Ratio, dfc)) → new_ltEs8(wzz48000, wzz49000, dfc)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Left(wzz49000), cbd, cbe) → False
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_@2, dgc), dgd)) → new_ltEs4(wzz48000, wzz49000, dgc, dgd)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Bool, cbe) → new_ltEs9(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_ltEs15(wzz4800, wzz4900) → new_fsEs(new_compare18(wzz4800, wzz4900))
new_compare32(wzz48000, wzz49000) → new_compare210(wzz48000, wzz49000, new_esEs11(wzz48000, wzz49000))
new_compare210(wzz48000, wzz49000, False) → new_compare13(wzz48000, wzz49000, new_ltEs11(wzz48000, wzz49000))
new_compare210(wzz48000, wzz49000, True) → EQ
new_compare13(wzz48000, wzz49000, False) → GT
new_compare13(wzz48000, wzz49000, True) → LT
new_compare30(wzz48000, wzz49000, bfa, bfb, bfc) → new_compare27(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_compare27(wzz48000, wzz49000, False, bfa, bfb, bfc) → new_compare110(wzz48000, wzz49000, new_ltEs17(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_compare27(wzz48000, wzz49000, True, bfa, bfb, bfc) → EQ
new_compare110(wzz48000, wzz49000, True, bfa, bfb, bfc) → LT
new_compare110(wzz48000, wzz49000, False, bfa, bfb, bfc) → GT
new_compare6(wzz48000, wzz49000, gd, ge) → new_compare24(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, gd, ge), gd, ge)
new_compare24(wzz48000, wzz49000, True, gd, ge) → EQ
new_compare24(wzz48000, wzz49000, False, gd, ge) → new_compare10(wzz48000, wzz49000, new_ltEs4(wzz48000, wzz49000, gd, ge), gd, ge)
new_compare10(wzz48000, wzz49000, True, gd, ge) → LT
new_compare10(wzz48000, wzz49000, False, gd, ge) → GT
new_lt15(wzz48000, wzz49000, ha, hb) → new_esEs11(new_compare8(wzz48000, wzz49000, ha, hb), LT)
new_lt16(wzz48000, wzz49000, beh) → new_esEs11(new_compare(wzz48000, wzz49000, beh), LT)
new_lt5(wzz48000, wzz49000) → new_esEs11(new_compare9(wzz48000, wzz49000), LT)
new_lt8(wzz480, wzz490) → new_esEs11(new_compare16(wzz480, wzz490), LT)
new_lt13(wzz48000, wzz49000) → new_esEs11(new_compare32(wzz48000, wzz49000), LT)
new_lt17(wzz48000, wzz49000) → new_esEs11(new_compare29(wzz48000, wzz49000), LT)
new_lt6(wzz48000, wzz49000, gh) → new_esEs11(new_compare14(wzz48000, wzz49000, gh), LT)
new_lt19(wzz48000, wzz49000, gd, ge) → new_esEs11(new_compare6(wzz48000, wzz49000, gd, ge), LT)
new_lt18(wzz48000, wzz49000, bfa, bfb, bfc) → new_esEs11(new_compare30(wzz48000, wzz49000, bfa, bfb, bfc), LT)
new_lt4(wzz48000, wzz49000) → new_esEs11(new_compare7(wzz48000, wzz49000), LT)
new_lt7(wzz48000, wzz49000) → new_esEs11(new_compare18(wzz48000, wzz49000), LT)
new_lt12(wzz48000, wzz49000, beg) → new_esEs11(new_compare15(wzz48000, wzz49000, beg), LT)
new_lt14(wzz48000, wzz49000) → new_esEs11(new_compare17(wzz48000, wzz49000), LT)
new_lt11(wzz48000, wzz49000) → new_esEs11(new_compare5(wzz48000, wzz49000), LT)
new_esEs29(wzz20, wzz15, ty_@0) → new_esEs13(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Float) → new_esEs18(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Integer) → new_esEs15(wzz20, wzz15)
new_esEs29(wzz20, wzz15, app(app(ty_@2, bbe), bbf)) → new_esEs7(wzz20, wzz15, bbe, bbf)
new_esEs29(wzz20, wzz15, ty_Ordering) → new_esEs11(wzz20, wzz15)
new_esEs29(wzz20, wzz15, app(app(ty_Either, bag), bah)) → new_esEs5(wzz20, wzz15, bag, bah)
new_esEs29(wzz20, wzz15, app(ty_[], bbg)) → new_esEs16(wzz20, wzz15, bbg)
new_esEs29(wzz20, wzz15, ty_Bool) → new_esEs19(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Char) → new_esEs12(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Double) → new_esEs17(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Int) → new_esEs20(wzz20, wzz15)
new_esEs29(wzz20, wzz15, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs6(wzz20, wzz15, bba, bbb, bbc)
new_esEs29(wzz20, wzz15, app(ty_Ratio, bbd)) → new_esEs14(wzz20, wzz15, bbd)
new_esEs29(wzz20, wzz15, app(ty_Maybe, baf)) → new_esEs4(wzz20, wzz15, baf)

The set Q consists of the following terms:

new_ltEs15(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Double)
new_esEs13(@0, @0)
new_ltEs14(x0, x1, x2)
new_compare111(x0, x1, False, x2, x3)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs11(EQ, GT)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_ltEs11(GT, EQ)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs19(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primCompAux1(x0, x1, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare111(x0, x1, True, x2, x3)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Bool)
new_esEs4(Nothing, Just(x0), x1)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCompAux0(x0, GT)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_ltEs11(EQ, EQ)
new_asAs(False, x0)
new_lt10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_lt14(x0, x1)
new_ltEs16(x0, x1)
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs25(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_sr0(Integer(x0), Integer(x1))
new_lt9(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare11(x0, x1, False, x2, x3)
new_lt6(x0, x1, x2)
new_lt8(x0, x1)
new_sr(x0, x1)
new_lt9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_compare28(x0, x1, False)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Bool)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare7(Integer(x0), Integer(x1))
new_esEs29(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, x2, x3, x4)
new_lt10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_esEs22(x0, x1, ty_@0)
new_lt9(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_compare31(x0, x1, ty_Ordering)
new_lt11(x0, x1)
new_esEs25(x0, x1, ty_Bool)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Zero)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_compare29(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Int)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Int)
new_esEs24(x0, x1, ty_Int)
new_esEs19(True, True)
new_primMulNat0(Succ(x0), Succ(x1))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_lt13(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs11(EQ, GT)
new_esEs11(GT, EQ)
new_esEs24(x0, x1, ty_Bool)
new_esEs8(x0, x1, ty_Bool)
new_compare18(@0, @0)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Double)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:(x0, x1), :(x2, x3), x4)
new_compare25(x0, x1, True, x2, x3)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Ordering)
new_lt10(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Succ(x0), Zero)
new_esEs23(x0, x1, ty_Int)
new_lt9(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Char)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_ltEs18(x0, x1, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_ltEs9(False, False)
new_esEs8(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Zero)
new_esEs28(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare6(x0, x1, x2, x3)
new_compare31(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt10(x0, x1, ty_Double)
new_compare24(x0, x1, False, x2, x3)
new_compare9(x0, x1)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(:(x0, x1), [], x2)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs32(x0, x1, ty_Int)
new_compare13(x0, x1, False)
new_esEs9(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_[], x2))
new_esEs22(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs11(GT, LT)
new_esEs11(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare12(x0, x1, False, x2)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_ltEs8(x0, x1, x2)
new_ltEs18(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_lt17(x0, x1)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs6(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Float)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_ltEs7(Just(x0), Nothing, x1)
new_compare19(x0, x1, True)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare(:(x0, x1), [], x2)
new_esEs26(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(False, True)
new_esEs19(True, False)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs30(x0, x1, ty_Int)
new_esEs11(LT, LT)
new_esEs24(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare31(x0, x1, ty_Int)
new_lt10(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_Float)
new_ltEs9(True, True)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Ordering)
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs31(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Ordering)
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare10(x0, x1, True, x2, x3)
new_esEs21(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare5(Char(x0), Char(x1))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs10(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_compare13(x0, x1, True)
new_compare10(x0, x1, False, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs11(EQ, LT)
new_esEs11(LT, EQ)
new_esEs25(x0, x1, ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs19(False, False)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, True, x2, x3)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_@0)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt10(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Float)
new_lt9(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Float)
new_lt9(x0, x1, ty_Double)
new_lt9(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, ty_Int)
new_lt9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_lt20(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1)
new_compare([], [], x0)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_compare16(x0, x1)
new_esEs21(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Double)
new_esEs22(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs11(LT, LT)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1)
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs11(EQ, LT)
new_pePe(True, x0)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs11(LT, EQ)
new_primMulNat0(Zero, Succ(x0))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_lt9(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs10(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Succ(x0), x1)
new_esEs31(x0, x1, ty_Char)
new_lt18(x0, x1, x2, x3, x4)
new_lt9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_Double)
new_compare(:(x0, x1), :(x2, x3), x4)
new_compare17(Float(x0, x1), Float(x2, x3))
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt10(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Float)
new_esEs23(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Integer)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs11(GT, GT)
new_esEs18(Float(x0, x1), Float(x2, x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_not(True)
new_lt10(x0, x1, ty_Bool)
new_esEs16([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt9(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Char)
new_lt9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare28(x0, x1, True)
new_fsEs(x0)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Bool)
new_esEs12(Char(x0), Char(x1))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_esEs32(x0, x1, ty_Integer)
new_compare26(x0, x1, True, x2)
new_compare110(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Integer)
new_lt16(x0, x1, x2)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare8(x0, x1, x2, x3)
new_primPlusNat1(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs4(Nothing, Nothing, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs16([], [], x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_lt12(x0, x1, x2)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs28(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare210(x0, x1, False)
new_esEs8(x0, x1, ty_Double)
new_lt10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Nothing, Just(x0), x1)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_compare19(x0, x1, False)
new_lt20(x0, x1, ty_Integer)
new_primCompAux0(x0, EQ)
new_ltEs18(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux0(x0, LT)
new_lt10(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_pePe(False, x0)
new_compare110(x0, x1, True, x2, x3, x4)
new_lt10(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs15(Integer(x0), Integer(x1))
new_compare31(x0, x1, ty_Float)
new_esEs11(EQ, EQ)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare([], :(x0, x1), x2)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_Float)
new_compare32(x0, x1)
new_ltEs19(x0, x1, ty_@0)
new_compare24(x0, x1, True, x2, x3)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare14(x0, x1, x2)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_primPlusNat1(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Ordering)
new_lt15(x0, x1, x2, x3)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs11(GT, GT)

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

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



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

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

new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz33, Left(wzz40), wzz5, bc, bd, be)
new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, False, bc, bd, be) → new_addToFM_C10(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Right(wzz300), False, bc, bd), GT), bc, bd, be)
new_addToFM_C2(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, False, h, ba, bb) → new_addToFM_C1(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, new_esEs11(new_compare25(Left(wzz20), Left(wzz15), new_esEs29(wzz20, wzz15, h), h, ba), GT), h, ba, bb)
new_addToFM_C(Branch(Right(wzz300), wzz31, wzz32, wzz33, wzz34), Left(wzz40), wzz5, bc, bd, be) → new_addToFM_C20(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Right(wzz300), False, bc, bd), LT), bc, bd, be)
new_addToFM_C10(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, True, bc, bd, be) → new_addToFM_C(wzz34, Left(wzz40), wzz5, bc, bd, be)
new_addToFM_C1(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, True, h, ba, bb) → new_addToFM_C(wzz19, Left(wzz20), wzz21, h, ba, bb)
new_addToFM_C(Branch(Left(wzz300), wzz31, wzz32, wzz33, wzz34), Left(wzz40), wzz5, bc, bd, be) → new_addToFM_C2(wzz300, wzz31, wzz32, wzz33, wzz34, wzz40, wzz5, new_esEs11(new_compare25(Left(wzz40), Left(wzz300), new_esEs30(wzz40, wzz300, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C2(wzz15, wzz16, wzz17, wzz18, wzz19, wzz20, wzz21, True, h, ba, bb) → new_addToFM_C(wzz18, Left(wzz20), wzz21, h, ba, bb)

The TRS R consists of the following rules:

new_esEs30(wzz40, wzz300, ty_@0) → new_esEs13(wzz40, wzz300)
new_esEs30(wzz40, wzz300, ty_Double) → new_esEs17(wzz40, wzz300)
new_esEs30(wzz40, wzz300, ty_Float) → new_esEs18(wzz40, wzz300)
new_esEs30(wzz40, wzz300, ty_Char) → new_esEs12(wzz40, wzz300)
new_esEs30(wzz40, wzz300, app(ty_Maybe, cad)) → new_esEs4(wzz40, wzz300, cad)
new_esEs30(wzz40, wzz300, ty_Int) → new_esEs20(wzz40, wzz300)
new_esEs30(wzz40, wzz300, app(ty_Ratio, cag)) → new_esEs14(wzz40, wzz300, cag)
new_esEs30(wzz40, wzz300, app(app(ty_@2, bff), bfg)) → new_esEs7(wzz40, wzz300, bff, bfg)
new_esEs30(wzz40, wzz300, ty_Ordering) → new_esEs11(wzz40, wzz300)
new_esEs30(wzz40, wzz300, app(ty_[], cah)) → new_esEs16(wzz40, wzz300, cah)
new_esEs30(wzz40, wzz300, app(app(ty_Either, cae), caf)) → new_esEs5(wzz40, wzz300, cae, caf)
new_esEs30(wzz40, wzz300, ty_Integer) → new_esEs15(wzz40, wzz300)
new_esEs30(wzz40, wzz300, app(app(app(ty_@3, ca), cb), cc)) → new_esEs6(wzz40, wzz300, ca, cb, cc)
new_esEs30(wzz40, wzz300, ty_Bool) → new_esEs19(wzz40, wzz300)
new_compare25(wzz480, wzz490, True, cba, cbb) → EQ
new_compare25(Left(wzz4800), Left(wzz4900), False, cba, cbb) → new_compare111(wzz4800, wzz4900, new_ltEs19(wzz4800, wzz4900, cba), cba, cbb)
new_esEs11(GT, LT) → False
new_esEs11(EQ, LT) → False
new_esEs11(LT, LT) → True
new_ltEs19(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(app(ty_@2, cbg), cbh)) → new_ltEs4(wzz4800, wzz4900, cbg, cbh)
new_ltEs19(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_Ratio, cbc)) → new_ltEs8(wzz4800, wzz4900, cbc)
new_ltEs19(wzz4800, wzz4900, app(app(ty_Either, cbd), cbe)) → new_ltEs13(wzz4800, wzz4900, cbd, cbe)
new_ltEs19(wzz4800, wzz4900, app(ty_[], cbf)) → new_ltEs14(wzz4800, wzz4900, cbf)
new_ltEs19(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, app(ty_Maybe, hc)) → new_ltEs7(wzz4800, wzz4900, hc)
new_ltEs19(wzz4800, wzz4900, app(app(app(ty_@3, bbh), bca), bcb)) → new_ltEs17(wzz4800, wzz4900, bbh, bca, bcb)
new_ltEs19(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_ltEs19(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_compare111(wzz183, wzz184, False, bfd, bfe) → GT
new_compare111(wzz183, wzz184, True, bfd, bfe) → LT
new_ltEs5(wzz4800, wzz4900) → new_fsEs(new_compare5(wzz4800, wzz4900))
new_compare5(Char(wzz48000), Char(wzz49000)) → new_primCmpNat0(wzz48000, wzz49000)
new_fsEs(wzz193) → new_not(new_esEs11(wzz193, GT))
new_esEs11(GT, GT) → True
new_esEs11(LT, GT) → False
new_esEs11(EQ, GT) → False
new_not(False) → True
new_not(True) → False
new_primCmpNat0(Zero, Succ(wzz4900)) → LT
new_primCmpNat0(Succ(wzz4800), Succ(wzz4900)) → new_primCmpNat0(wzz4800, wzz4900)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(wzz4800), Zero) → GT
new_ltEs12(wzz4800, wzz4900) → new_fsEs(new_compare17(wzz4800, wzz4900))
new_compare17(Float(wzz48000, wzz48001), Float(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_sr(wzz401, wzz3001) → new_primMulInt(wzz401, wzz3001)
new_compare16(wzz48, wzz49) → new_primCmpInt(wzz48, wzz49)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz4800)), Neg(wzz490)) → new_primCmpNat0(wzz490, Succ(wzz4800))
new_primCmpInt(Neg(Zero), Pos(Succ(wzz4900))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(wzz4900))) → new_primCmpNat0(Zero, Succ(wzz4900))
new_primCmpInt(Pos(Succ(wzz4800)), Pos(wzz490)) → new_primCmpNat0(Succ(wzz4800), wzz490)
new_primCmpInt(Pos(Succ(wzz4800)), Neg(wzz490)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(wzz4900))) → new_primCmpNat0(Succ(wzz4900), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(wzz4900))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(wzz4800)), Pos(wzz490)) → LT
new_primMulInt(Pos(wzz4010), Pos(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Neg(wzz30010)) → Pos(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Pos(wzz4010), Neg(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulInt(Neg(wzz4010), Pos(wzz30010)) → Neg(new_primMulNat0(wzz4010, wzz30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(wzz40100), Zero) → Zero
new_primMulNat0(Zero, Succ(wzz300100)) → Zero
new_primMulNat0(Succ(wzz40100), Succ(wzz300100)) → new_primPlusNat0(new_primMulNat0(wzz40100, Succ(wzz300100)), wzz300100)
new_primPlusNat0(Succ(wzz1420), wzz300100) → Succ(Succ(new_primPlusNat1(wzz1420, wzz300100)))
new_primPlusNat0(Zero, wzz300100) → Succ(wzz300100)
new_primPlusNat1(Succ(wzz51200), Zero) → Succ(wzz51200)
new_primPlusNat1(Zero, Succ(wzz13300)) → Succ(wzz13300)
new_primPlusNat1(Succ(wzz51200), Succ(wzz13300)) → Succ(Succ(new_primPlusNat1(wzz51200, wzz13300)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs17(@3(wzz48000, wzz48001, wzz48002), @3(wzz49000, wzz49001, wzz49002), bbh, bca, bcb) → new_pePe(new_lt10(wzz48000, wzz49000, bbh), new_asAs(new_esEs22(wzz48000, wzz49000, bbh), new_pePe(new_lt9(wzz48001, wzz49001, bca), new_asAs(new_esEs21(wzz48001, wzz49001, bca), new_ltEs18(wzz48002, wzz49002, bcb)))))
new_lt10(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_lt12(wzz48000, wzz49000, beg)
new_lt10(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_lt6(wzz48000, wzz49000, gh)
new_lt10(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_lt19(wzz48000, wzz49000, gd, ge)
new_lt10(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt18(wzz48000, wzz49000, bfa, bfb, bfc)
new_lt10(wzz48000, wzz49000, app(ty_[], beh)) → new_lt16(wzz48000, wzz49000, beh)
new_lt10(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_lt10(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_lt15(wzz48000, wzz49000, ha, hb)
new_lt10(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(ty_Ratio, beg)) → new_esEs14(wzz48000, wzz49000, beg)
new_esEs22(wzz48000, wzz49000, app(app(ty_@2, gd), ge)) → new_esEs7(wzz48000, wzz49000, gd, ge)
new_esEs22(wzz48000, wzz49000, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc)
new_esEs22(wzz48000, wzz49000, app(ty_Maybe, gh)) → new_esEs4(wzz48000, wzz49000, gh)
new_esEs22(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(ty_[], beh)) → new_esEs16(wzz48000, wzz49000, beh)
new_esEs22(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs22(wzz48000, wzz49000, app(app(ty_Either, ha), hb)) → new_esEs5(wzz48000, wzz49000, ha, hb)
new_lt9(wzz48001, wzz49001, ty_Char) → new_lt11(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_lt18(wzz48001, wzz49001, beb, bec, bed)
new_lt9(wzz48001, wzz49001, ty_Int) → new_lt8(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_lt12(wzz48001, wzz49001, bde)
new_lt9(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_lt6(wzz48001, wzz49001, bdf)
new_lt9(wzz48001, wzz49001, ty_Float) → new_lt14(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(ty_[], bea)) → new_lt16(wzz48001, wzz49001, bea)
new_lt9(wzz48001, wzz49001, ty_Double) → new_lt17(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_Bool) → new_lt5(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_lt19(wzz48001, wzz49001, bee, bef)
new_lt9(wzz48001, wzz49001, ty_Ordering) → new_lt13(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_Integer) → new_lt4(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, ty_@0) → new_lt7(wzz48001, wzz49001)
new_lt9(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_lt15(wzz48001, wzz49001, bdg, bdh)
new_esEs21(wzz48001, wzz49001, app(ty_Ratio, bde)) → new_esEs14(wzz48001, wzz49001, bde)
new_esEs21(wzz48001, wzz49001, ty_Int) → new_esEs20(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Char) → new_esEs12(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(app(ty_@2, bee), bef)) → new_esEs7(wzz48001, wzz49001, bee, bef)
new_esEs21(wzz48001, wzz49001, ty_Bool) → new_esEs19(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_@0) → new_esEs13(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Double) → new_esEs17(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Integer) → new_esEs15(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Ordering) → new_esEs11(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, ty_Float) → new_esEs18(wzz48001, wzz49001)
new_esEs21(wzz48001, wzz49001, app(ty_Maybe, bdf)) → new_esEs4(wzz48001, wzz49001, bdf)
new_esEs21(wzz48001, wzz49001, app(app(ty_Either, bdg), bdh)) → new_esEs5(wzz48001, wzz49001, bdg, bdh)
new_esEs21(wzz48001, wzz49001, app(app(app(ty_@3, beb), bec), bed)) → new_esEs6(wzz48001, wzz49001, beb, bec, bed)
new_esEs21(wzz48001, wzz49001, app(ty_[], bea)) → new_esEs16(wzz48001, wzz49001, bea)
new_ltEs18(wzz48002, wzz49002, ty_Integer) → new_ltEs6(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Int) → new_ltEs10(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Double) → new_ltEs16(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(ty_Either, bce), bcf)) → new_ltEs13(wzz48002, wzz49002, bce, bcf)
new_ltEs18(wzz48002, wzz49002, app(ty_[], bcg)) → new_ltEs14(wzz48002, wzz49002, bcg)
new_ltEs18(wzz48002, wzz49002, ty_@0) → new_ltEs15(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(ty_Ratio, bcc)) → new_ltEs8(wzz48002, wzz49002, bcc)
new_ltEs18(wzz48002, wzz49002, app(ty_Maybe, bcd)) → new_ltEs7(wzz48002, wzz49002, bcd)
new_ltEs18(wzz48002, wzz49002, ty_Ordering) → new_ltEs11(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(app(ty_@3, bch), bda), bdb)) → new_ltEs17(wzz48002, wzz49002, bch, bda, bdb)
new_ltEs18(wzz48002, wzz49002, ty_Bool) → new_ltEs9(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Float) → new_ltEs12(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, ty_Char) → new_ltEs5(wzz48002, wzz49002)
new_ltEs18(wzz48002, wzz49002, app(app(ty_@2, bdc), bdd)) → new_ltEs4(wzz48002, wzz49002, bdc, bdd)
new_asAs(False, wzz178) → False
new_asAs(True, wzz178) → wzz178
new_pePe(False, wzz210) → wzz210
new_pePe(True, wzz210) → True
new_ltEs4(@2(wzz48000, wzz48001), @2(wzz49000, wzz49001), cbg, cbh) → new_pePe(new_lt20(wzz48000, wzz49000, cbg), new_asAs(new_esEs25(wzz48000, wzz49000, cbg), new_ltEs21(wzz48001, wzz49001, cbh)))
new_lt20(wzz48000, wzz49000, ty_Char) → new_lt11(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Float) → new_lt14(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_lt12(wzz48000, wzz49000, cee)
new_lt20(wzz48000, wzz49000, ty_@0) → new_lt7(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Integer) → new_lt4(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_lt18(wzz48000, wzz49000, cfb, cfc, cfd)
new_lt20(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_lt19(wzz48000, wzz49000, cfe, cff)
new_lt20(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_lt6(wzz48000, wzz49000, cef)
new_lt20(wzz48000, wzz49000, ty_Double) → new_lt17(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Ordering) → new_lt13(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Int) → new_lt8(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, ty_Bool) → new_lt5(wzz48000, wzz49000)
new_lt20(wzz48000, wzz49000, app(ty_[], cfa)) → new_lt16(wzz48000, wzz49000, cfa)
new_lt20(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_lt15(wzz48000, wzz49000, ceg, ceh)
new_esEs25(wzz48000, wzz49000, app(ty_[], cfa)) → new_esEs16(wzz48000, wzz49000, cfa)
new_esEs25(wzz48000, wzz49000, ty_Ordering) → new_esEs11(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(app(ty_@2, cfe), cff)) → new_esEs7(wzz48000, wzz49000, cfe, cff)
new_esEs25(wzz48000, wzz49000, app(app(ty_Either, ceg), ceh)) → new_esEs5(wzz48000, wzz49000, ceg, ceh)
new_esEs25(wzz48000, wzz49000, ty_Double) → new_esEs17(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Maybe, cef)) → new_esEs4(wzz48000, wzz49000, cef)
new_esEs25(wzz48000, wzz49000, ty_Bool) → new_esEs19(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_@0) → new_esEs13(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Char) → new_esEs12(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Integer) → new_esEs15(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, ty_Float) → new_esEs18(wzz48000, wzz49000)
new_esEs25(wzz48000, wzz49000, app(ty_Ratio, cee)) → new_esEs14(wzz48000, wzz49000, cee)
new_esEs25(wzz48000, wzz49000, app(app(app(ty_@3, cfb), cfc), cfd)) → new_esEs6(wzz48000, wzz49000, cfb, cfc, cfd)
new_esEs25(wzz48000, wzz49000, ty_Int) → new_esEs20(wzz48000, wzz49000)
new_ltEs21(wzz48001, wzz49001, ty_Bool) → new_ltEs9(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(app(app(ty_@3, cdh), cea), ceb)) → new_ltEs17(wzz48001, wzz49001, cdh, cea, ceb)
new_ltEs21(wzz48001, wzz49001, app(app(ty_@2, cec), ced)) → new_ltEs4(wzz48001, wzz49001, cec, ced)
new_ltEs21(wzz48001, wzz49001, app(app(ty_Either, cde), cdf)) → new_ltEs13(wzz48001, wzz49001, cde, cdf)
new_ltEs21(wzz48001, wzz49001, app(ty_[], cdg)) → new_ltEs14(wzz48001, wzz49001, cdg)
new_ltEs21(wzz48001, wzz49001, ty_Int) → new_ltEs10(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Ordering) → new_ltEs11(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(ty_Ratio, cdc)) → new_ltEs8(wzz48001, wzz49001, cdc)
new_ltEs21(wzz48001, wzz49001, ty_Double) → new_ltEs16(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Char) → new_ltEs5(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_Integer) → new_ltEs6(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, ty_@0) → new_ltEs15(wzz48001, wzz49001)
new_ltEs21(wzz48001, wzz49001, app(ty_Maybe, cdd)) → new_ltEs7(wzz48001, wzz49001, cdd)
new_ltEs21(wzz48001, wzz49001, ty_Float) → new_ltEs12(wzz48001, wzz49001)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(app(ty_@3, baa), bab), bac)) → new_ltEs17(wzz48000, wzz49000, baa, bab, bac)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Maybe, deb), cbe) → new_ltEs7(wzz48000, wzz49000, deb)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Maybe, he)) → new_ltEs7(wzz48000, wzz49000, he)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Maybe, dfd)) → new_ltEs7(wzz48000, wzz49000, dfd)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_Either, dfe), dff)) → new_ltEs13(wzz48000, wzz49000, dfe, dff)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_Either, hf), hg)) → new_ltEs13(wzz48000, wzz49000, hf, hg)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_Either, dec), ded), cbe) → new_ltEs13(wzz48000, wzz49000, dec, ded)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(app(ty_@2, bad), bae)) → new_ltEs4(wzz48000, wzz49000, bad, bae)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_ltEs7(Nothing, Just(wzz49000), hc) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_Ratio, hd)) → new_ltEs8(wzz48000, wzz49000, hd)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_ltEs7(Nothing, Nothing, hc) → True
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_ltEs7(Just(wzz48000), Nothing, hc) → False
new_ltEs7(Just(wzz48000), Just(wzz49000), app(ty_[], hh)) → new_ltEs14(wzz48000, wzz49000, hh)
new_ltEs7(Just(wzz48000), Just(wzz49000), ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_ltEs16(wzz4800, wzz4900) → new_fsEs(new_compare29(wzz4800, wzz4900))
new_compare29(Double(wzz48000, wzz48001), Double(wzz49000, wzz49001)) → new_compare16(new_sr(wzz48000, wzz49000), new_sr(wzz48001, wzz49001))
new_ltEs14(wzz4800, wzz4900, cbf) → new_fsEs(new_compare(wzz4800, wzz4900, cbf))
new_compare([], :(wzz49000, wzz49001), cbf) → LT
new_compare(:(wzz48000, wzz48001), [], cbf) → GT
new_compare(:(wzz48000, wzz48001), :(wzz49000, wzz49001), cbf) → new_primCompAux1(wzz48000, wzz49000, new_compare(wzz48001, wzz49001, cbf), cbf)
new_compare([], [], cbf) → EQ
new_primCompAux1(wzz48000, wzz49000, wzz211, cbf) → new_primCompAux0(wzz211, new_compare31(wzz48000, wzz49000, cbf))
new_compare31(wzz48000, wzz49000, ty_Double) → new_compare29(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(app(ty_@2, dbc), dbd)) → new_compare6(wzz48000, wzz49000, dbc, dbd)
new_compare31(wzz48000, wzz49000, app(app(app(ty_@3, dah), dba), dbb)) → new_compare30(wzz48000, wzz49000, dah, dba, dbb)
new_compare31(wzz48000, wzz49000, ty_Ordering) → new_compare32(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Integer) → new_compare7(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Float) → new_compare17(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(app(ty_Either, dae), daf)) → new_compare8(wzz48000, wzz49000, dae, daf)
new_compare31(wzz48000, wzz49000, ty_@0) → new_compare18(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(ty_[], dag)) → new_compare(wzz48000, wzz49000, dag)
new_compare31(wzz48000, wzz49000, ty_Bool) → new_compare9(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Int) → new_compare16(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, ty_Char) → new_compare5(wzz48000, wzz49000)
new_compare31(wzz48000, wzz49000, app(ty_Ratio, dac)) → new_compare15(wzz48000, wzz49000, dac)
new_compare31(wzz48000, wzz49000, app(ty_Maybe, dad)) → new_compare14(wzz48000, wzz49000, dad)
new_primCompAux0(wzz224, GT) → GT
new_primCompAux0(wzz224, LT) → LT
new_primCompAux0(wzz224, EQ) → wzz224
new_compare14(wzz48000, wzz49000, gh) → new_compare26(wzz48000, wzz49000, new_esEs4(wzz48000, wzz49000, gh), gh)
new_esEs4(Just(wzz400), Nothing, cad) → False
new_esEs4(Nothing, Just(wzz3000), cad) → False
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Ratio, cge)) → new_esEs14(wzz400, wzz3000, cge)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(app(ty_@3, cgb), cgc), cgd)) → new_esEs6(wzz400, wzz3000, cgb, cgc, cgd)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Maybe, dcg)) → new_esEs4(wzz400, wzz3000, dcg)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Maybe, dbe), caf) → new_esEs4(wzz400, wzz3000, dbe)
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_Maybe, cfg)) → new_esEs4(wzz400, wzz3000, cfg)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_Either, dch), dda)) → new_esEs5(wzz400, wzz3000, dch, dda)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_Either, dbf), dbg), caf) → new_esEs5(wzz400, wzz3000, dbf, dbg)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_Either, cfh), cga)) → new_esEs5(wzz400, wzz3000, cfh, cga)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs4(Nothing, Nothing, cad) → True
new_esEs4(Just(wzz400), Just(wzz3000), app(ty_[], cgh)) → new_esEs16(wzz400, wzz3000, cgh)
new_esEs4(Just(wzz400), Just(wzz3000), app(app(ty_@2, cgf), cgg)) → new_esEs7(wzz400, wzz3000, cgf, cgg)
new_esEs4(Just(wzz400), Just(wzz3000), ty_Integer) → new_esEs15(wzz400, wzz3000)
new_compare26(wzz48000, wzz49000, True, gh) → EQ
new_compare26(wzz48000, wzz49000, False, gh) → new_compare12(wzz48000, wzz49000, new_ltEs7(wzz48000, wzz49000, gh), gh)
new_compare12(wzz48000, wzz49000, False, gh) → GT
new_compare12(wzz48000, wzz49000, True, gh) → LT
new_esEs15(Integer(wzz400), Integer(wzz3000)) → new_primEqInt(wzz400, wzz3000)
new_primEqInt(Neg(Succ(wzz4000)), Neg(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Succ(wzz4000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Pos(Succ(wzz30000))) → new_primEqNat0(wzz4000, wzz30000)
new_primEqInt(Pos(Succ(wzz4000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Succ(wzz4000)), Neg(wzz3000)) → False
new_primEqInt(Neg(Succ(wzz4000)), Pos(wzz3000)) → False
new_primEqInt(Pos(Zero), Neg(Succ(wzz30000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(wzz30000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(wzz4000), Succ(wzz30000)) → new_primEqNat0(wzz4000, wzz30000)
new_primEqNat0(Zero, Succ(wzz30000)) → False
new_primEqNat0(Succ(wzz4000), Zero) → False
new_esEs7(@2(wzz400, wzz401), @2(wzz3000, wzz3001), bff, bfg) → new_asAs(new_esEs24(wzz400, wzz3000, bff), new_esEs23(wzz401, wzz3001, bfg))
new_esEs24(wzz400, wzz3000, app(app(ty_Either, bhc), bhd)) → new_esEs5(wzz400, wzz3000, bhc, bhd)
new_esEs24(wzz400, wzz3000, app(ty_Maybe, bhb)) → new_esEs4(wzz400, wzz3000, bhb)
new_esEs24(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(ty_Ratio, bhh)) → new_esEs14(wzz400, wzz3000, bhh)
new_esEs24(wzz400, wzz3000, app(app(ty_@2, caa), cab)) → new_esEs7(wzz400, wzz3000, caa, cab)
new_esEs24(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs6(wzz400, wzz3000, bhe, bhf, bhg)
new_esEs24(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs24(wzz400, wzz3000, app(ty_[], cac)) → new_esEs16(wzz400, wzz3000, cac)
new_esEs24(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs23(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(app(ty_Either, bga), bgb)) → new_esEs5(wzz401, wzz3001, bga, bgb)
new_esEs23(wzz401, wzz3001, app(ty_Maybe, bfh)) → new_esEs4(wzz401, wzz3001, bfh)
new_esEs23(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(ty_Ratio, bgf)) → new_esEs14(wzz401, wzz3001, bgf)
new_esEs23(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs6(wzz401, wzz3001, bgc, bgd, bge)
new_esEs23(wzz401, wzz3001, app(app(ty_@2, bgg), bgh)) → new_esEs7(wzz401, wzz3001, bgg, bgh)
new_esEs23(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs23(wzz401, wzz3001, app(ty_[], bha)) → new_esEs16(wzz401, wzz3001, bha)
new_esEs16(:(wzz400, wzz401), [], cah) → False
new_esEs16([], :(wzz3000, wzz3001), cah) → False
new_esEs16(:(wzz400, wzz401), :(wzz3000, wzz3001), cah) → new_asAs(new_esEs28(wzz400, wzz3000, cah), new_esEs16(wzz401, wzz3001, cah))
new_esEs16([], [], cah) → True
new_esEs28(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, app(ty_Maybe, dhg)) → new_esEs4(wzz400, wzz3000, dhg)
new_esEs28(wzz400, wzz3000, app(app(ty_@2, eaf), eag)) → new_esEs7(wzz400, wzz3000, eaf, eag)
new_esEs28(wzz400, wzz3000, app(app(ty_Either, dhh), eaa)) → new_esEs5(wzz400, wzz3000, dhh, eaa)
new_esEs28(wzz400, wzz3000, app(ty_Ratio, eae)) → new_esEs14(wzz400, wzz3000, eae)
new_esEs28(wzz400, wzz3000, app(ty_[], eah)) → new_esEs16(wzz400, wzz3000, eah)
new_esEs28(wzz400, wzz3000, app(app(app(ty_@3, eab), eac), ead)) → new_esEs6(wzz400, wzz3000, eab, eac, ead)
new_esEs28(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs28(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs12(Char(wzz400), Char(wzz3000)) → new_primEqNat0(wzz400, wzz3000)
new_esEs17(Double(wzz400, wzz401), Double(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs20(wzz40, wzz300) → new_primEqInt(wzz40, wzz300)
new_esEs6(@3(wzz400, wzz401, wzz402), @3(wzz3000, wzz3001, wzz3002), ca, cb, cc) → new_asAs(new_esEs10(wzz400, wzz3000, ca), new_asAs(new_esEs9(wzz401, wzz3001, cb), new_esEs8(wzz402, wzz3002, cc)))
new_esEs10(wzz400, wzz3000, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(app(ty_@2, ga), gb)) → new_esEs7(wzz400, wzz3000, ga, gb)
new_esEs10(wzz400, wzz3000, app(ty_[], gc)) → new_esEs16(wzz400, wzz3000, gc)
new_esEs10(wzz400, wzz3000, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(app(ty_Either, fb), fc)) → new_esEs5(wzz400, wzz3000, fb, fc)
new_esEs10(wzz400, wzz3000, app(app(app(ty_@3, fd), ff), fg)) → new_esEs6(wzz400, wzz3000, fd, ff, fg)
new_esEs10(wzz400, wzz3000, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs10(wzz400, wzz3000, app(ty_Ratio, fh)) → new_esEs14(wzz400, wzz3000, fh)
new_esEs10(wzz400, wzz3000, app(ty_Maybe, fa)) → new_esEs4(wzz400, wzz3000, fa)
new_esEs9(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Ordering) → new_esEs11(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_@0) → new_esEs13(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Bool) → new_esEs19(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, ty_Double) → new_esEs17(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(ty_Ratio, ee)) → new_esEs14(wzz401, wzz3001, ee)
new_esEs9(wzz401, wzz3001, app(ty_[], eh)) → new_esEs16(wzz401, wzz3001, eh)
new_esEs9(wzz401, wzz3001, ty_Float) → new_esEs18(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(app(ty_@2, ef), eg)) → new_esEs7(wzz401, wzz3001, ef, eg)
new_esEs9(wzz401, wzz3001, app(app(ty_Either, dh), ea)) → new_esEs5(wzz401, wzz3001, dh, ea)
new_esEs9(wzz401, wzz3001, ty_Char) → new_esEs12(wzz401, wzz3001)
new_esEs9(wzz401, wzz3001, app(ty_Maybe, dg)) → new_esEs4(wzz401, wzz3001, dg)
new_esEs9(wzz401, wzz3001, app(app(app(ty_@3, eb), ec), ed)) → new_esEs6(wzz401, wzz3001, eb, ec, ed)
new_esEs9(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs8(wzz402, wzz3002, ty_Double) → new_esEs17(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Ordering) → new_esEs11(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Int) → new_esEs20(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Char) → new_esEs12(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, ty_Float) → new_esEs18(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(app(ty_@2, dd), de)) → new_esEs7(wzz402, wzz3002, dd, de)
new_esEs8(wzz402, wzz3002, app(app(ty_Either, ce), cf)) → new_esEs5(wzz402, wzz3002, ce, cf)
new_esEs8(wzz402, wzz3002, app(app(app(ty_@3, cg), da), db)) → new_esEs6(wzz402, wzz3002, cg, da, db)
new_esEs8(wzz402, wzz3002, ty_Bool) → new_esEs19(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(ty_[], df)) → new_esEs16(wzz402, wzz3002, df)
new_esEs8(wzz402, wzz3002, ty_Integer) → new_esEs15(wzz402, wzz3002)
new_esEs8(wzz402, wzz3002, app(ty_Ratio, dc)) → new_esEs14(wzz402, wzz3002, dc)
new_esEs8(wzz402, wzz3002, app(ty_Maybe, cd)) → new_esEs4(wzz402, wzz3002, cd)
new_esEs8(wzz402, wzz3002, ty_@0) → new_esEs13(wzz402, wzz3002)
new_esEs13(@0, @0) → True
new_esEs14(:%(wzz400, wzz401), :%(wzz3000, wzz3001), cag) → new_asAs(new_esEs27(wzz400, wzz3000, cag), new_esEs26(wzz401, wzz3001, cag))
new_esEs27(wzz400, wzz3000, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs27(wzz400, wzz3000, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs26(wzz401, wzz3001, ty_Integer) → new_esEs15(wzz401, wzz3001)
new_esEs26(wzz401, wzz3001, ty_Int) → new_esEs20(wzz401, wzz3001)
new_esEs19(True, True) → True
new_esEs19(False, False) → True
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_Ratio, dcc), caf) → new_esEs14(wzz400, wzz3000, dcc)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Char, caf) → new_esEs12(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Char) → new_esEs12(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Integer, caf) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Int) → new_esEs20(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs6(wzz400, wzz3000, ddb, ddc, ddd)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Ordering, caf) → new_esEs11(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_@0) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Float) → new_esEs18(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), app(ty_[], dcf), caf) → new_esEs16(wzz400, wzz3000, dcf)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_Ratio, dde)) → new_esEs14(wzz400, wzz3000, dde)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Ordering) → new_esEs11(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Bool) → new_esEs19(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Double, caf) → new_esEs17(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_@0, caf) → new_esEs13(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Integer) → new_esEs15(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, ty_Double) → new_esEs17(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Bool, caf) → new_esEs19(wzz400, wzz3000)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(ty_[], ddh)) → new_esEs16(wzz400, wzz3000, ddh)
new_esEs5(Left(wzz400), Right(wzz3000), cae, caf) → False
new_esEs5(Right(wzz400), Left(wzz3000), cae, caf) → False
new_esEs5(Left(wzz400), Left(wzz3000), app(app(ty_@2, dcd), dce), caf) → new_esEs7(wzz400, wzz3000, dcd, dce)
new_esEs5(Left(wzz400), Left(wzz3000), app(app(app(ty_@3, dbh), dca), dcb), caf) → new_esEs6(wzz400, wzz3000, dbh, dca, dcb)
new_esEs5(Right(wzz400), Right(wzz3000), cae, app(app(ty_@2, ddf), ddg)) → new_esEs7(wzz400, wzz3000, ddf, ddg)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Int, caf) → new_esEs20(wzz400, wzz3000)
new_esEs5(Left(wzz400), Left(wzz3000), ty_Float, caf) → new_esEs18(wzz400, wzz3000)
new_esEs18(Float(wzz400, wzz401), Float(wzz3000, wzz3001)) → new_esEs20(new_sr(wzz400, wzz3000), new_sr(wzz401, wzz3001))
new_esEs11(EQ, EQ) → True
new_esEs11(LT, EQ) → False
new_esEs11(GT, EQ) → False
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Integer) → new_compare7(new_sr0(wzz48000, wzz49001), new_sr0(wzz49000, wzz48001))
new_compare15(:%(wzz48000, wzz48001), :%(wzz49000, wzz49001), ty_Int) → new_compare16(new_sr(wzz48000, wzz49001), new_sr(wzz49000, wzz48001))
new_sr0(Integer(wzz480000), Integer(wzz490010)) → Integer(new_primMulInt(wzz480000, wzz490010))
new_compare7(Integer(wzz48000), Integer(wzz49000)) → new_primCmpInt(wzz48000, wzz49000)
new_compare9(wzz48000, wzz49000) → new_compare28(wzz48000, wzz49000, new_esEs19(wzz48000, wzz49000))
new_compare28(wzz48000, wzz49000, False) → new_compare19(wzz48000, wzz49000, new_ltEs9(wzz48000, wzz49000))
new_compare28(wzz48000, wzz49000, True) → EQ
new_ltEs9(True, False) → False
new_ltEs9(True, True) → True
new_ltEs9(False, False) → True
new_ltEs9(False, True) → True
new_compare19(wzz48000, wzz49000, True) → LT
new_compare19(wzz48000, wzz49000, False) → GT
new_compare18(@0, @0) → EQ
new_compare8(wzz48000, wzz49000, ha, hb) → new_compare25(wzz48000, wzz49000, new_esEs5(wzz48000, wzz49000, ha, hb), ha, hb)
new_compare25(Right(wzz4800), Right(wzz4900), False, cba, cbb) → new_compare11(wzz4800, wzz4900, new_ltEs20(wzz4800, wzz4900, cbb), cba, cbb)
new_compare25(Right(wzz4800), Left(wzz4900), False, cba, cbb) → GT
new_compare25(Left(wzz4800), Right(wzz4900), False, cba, cbb) → LT
new_ltEs20(wzz4800, wzz4900, ty_@0) → new_ltEs15(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Float) → new_ltEs12(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(app(ty_Either, ccc), ccd)) → new_ltEs13(wzz4800, wzz4900, ccc, ccd)
new_ltEs20(wzz4800, wzz4900, app(app(ty_@2, cda), cdb)) → new_ltEs4(wzz4800, wzz4900, cda, cdb)
new_ltEs20(wzz4800, wzz4900, ty_Char) → new_ltEs5(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Integer) → new_ltEs6(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_[], cce)) → new_ltEs14(wzz4800, wzz4900, cce)
new_ltEs20(wzz4800, wzz4900, app(app(app(ty_@3, ccf), ccg), cch)) → new_ltEs17(wzz4800, wzz4900, ccf, ccg, cch)
new_ltEs20(wzz4800, wzz4900, ty_Bool) → new_ltEs9(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_Ratio, cca)) → new_ltEs8(wzz4800, wzz4900, cca)
new_ltEs20(wzz4800, wzz4900, ty_Ordering) → new_ltEs11(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Double) → new_ltEs16(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, ty_Int) → new_ltEs10(wzz4800, wzz4900)
new_ltEs20(wzz4800, wzz4900, app(ty_Maybe, ccb)) → new_ltEs7(wzz4800, wzz4900, ccb)
new_compare11(wzz190, wzz191, True, gf, gg) → LT
new_compare11(wzz190, wzz191, False, gf, gg) → GT
new_ltEs10(wzz4800, wzz4900) → new_fsEs(new_compare16(wzz4800, wzz4900))
new_ltEs11(LT, GT) → True
new_ltEs11(GT, EQ) → False
new_ltEs11(GT, LT) → False
new_ltEs11(LT, EQ) → True
new_ltEs11(LT, LT) → True
new_ltEs11(GT, GT) → True
new_ltEs11(EQ, EQ) → True
new_ltEs11(EQ, LT) → False
new_ltEs11(EQ, GT) → True
new_ltEs8(wzz4800, wzz4900, cbc) → new_fsEs(new_compare15(wzz4800, wzz4900, cbc))
new_ltEs6(wzz4800, wzz4900) → new_fsEs(new_compare7(wzz4800, wzz4900))
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Char, cbe) → new_ltEs5(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(app(ty_@3, def), deg), deh), cbe) → new_ltEs17(wzz48000, wzz49000, def, deg, deh)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs17(wzz48000, wzz49000, dfh, dga, dgb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_[], dfg)) → new_ltEs14(wzz48000, wzz49000, dfg)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Ordering, cbe) → new_ltEs11(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Float) → new_ltEs12(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_[], dee), cbe) → new_ltEs14(wzz48000, wzz49000, dee)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Double, cbe) → new_ltEs16(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(ty_Ratio, dea), cbe) → new_ltEs8(wzz48000, wzz49000, dea)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Int) → new_ltEs10(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Float, cbe) → new_ltEs12(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Integer, cbe) → new_ltEs6(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_@0, cbe) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), app(app(ty_@2, dfa), dfb), cbe) → new_ltEs4(wzz48000, wzz49000, dfa, dfb)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Integer) → new_ltEs6(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Bool) → new_ltEs9(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Int, cbe) → new_ltEs10(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Char) → new_ltEs5(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_@0) → new_ltEs15(wzz48000, wzz49000)
new_ltEs13(Left(wzz48000), Right(wzz49000), cbd, cbe) → True
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(ty_Ratio, dfc)) → new_ltEs8(wzz48000, wzz49000, dfc)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Ordering) → new_ltEs11(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Left(wzz49000), cbd, cbe) → False
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, app(app(ty_@2, dgc), dgd)) → new_ltEs4(wzz48000, wzz49000, dgc, dgd)
new_ltEs13(Left(wzz48000), Left(wzz49000), ty_Bool, cbe) → new_ltEs9(wzz48000, wzz49000)
new_ltEs13(Right(wzz48000), Right(wzz49000), cbd, ty_Double) → new_ltEs16(wzz48000, wzz49000)
new_ltEs15(wzz4800, wzz4900) → new_fsEs(new_compare18(wzz4800, wzz4900))
new_compare32(wzz48000, wzz49000) → new_compare210(wzz48000, wzz49000, new_esEs11(wzz48000, wzz49000))
new_compare210(wzz48000, wzz49000, False) → new_compare13(wzz48000, wzz49000, new_ltEs11(wzz48000, wzz49000))
new_compare210(wzz48000, wzz49000, True) → EQ
new_compare13(wzz48000, wzz49000, False) → GT
new_compare13(wzz48000, wzz49000, True) → LT
new_compare30(wzz48000, wzz49000, bfa, bfb, bfc) → new_compare27(wzz48000, wzz49000, new_esEs6(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_compare27(wzz48000, wzz49000, False, bfa, bfb, bfc) → new_compare110(wzz48000, wzz49000, new_ltEs17(wzz48000, wzz49000, bfa, bfb, bfc), bfa, bfb, bfc)
new_compare27(wzz48000, wzz49000, True, bfa, bfb, bfc) → EQ
new_compare110(wzz48000, wzz49000, True, bfa, bfb, bfc) → LT
new_compare110(wzz48000, wzz49000, False, bfa, bfb, bfc) → GT
new_compare6(wzz48000, wzz49000, gd, ge) → new_compare24(wzz48000, wzz49000, new_esEs7(wzz48000, wzz49000, gd, ge), gd, ge)
new_compare24(wzz48000, wzz49000, True, gd, ge) → EQ
new_compare24(wzz48000, wzz49000, False, gd, ge) → new_compare10(wzz48000, wzz49000, new_ltEs4(wzz48000, wzz49000, gd, ge), gd, ge)
new_compare10(wzz48000, wzz49000, True, gd, ge) → LT
new_compare10(wzz48000, wzz49000, False, gd, ge) → GT
new_lt15(wzz48000, wzz49000, ha, hb) → new_esEs11(new_compare8(wzz48000, wzz49000, ha, hb), LT)
new_lt16(wzz48000, wzz49000, beh) → new_esEs11(new_compare(wzz48000, wzz49000, beh), LT)
new_lt5(wzz48000, wzz49000) → new_esEs11(new_compare9(wzz48000, wzz49000), LT)
new_lt8(wzz480, wzz490) → new_esEs11(new_compare16(wzz480, wzz490), LT)
new_lt13(wzz48000, wzz49000) → new_esEs11(new_compare32(wzz48000, wzz49000), LT)
new_lt17(wzz48000, wzz49000) → new_esEs11(new_compare29(wzz48000, wzz49000), LT)
new_lt6(wzz48000, wzz49000, gh) → new_esEs11(new_compare14(wzz48000, wzz49000, gh), LT)
new_lt19(wzz48000, wzz49000, gd, ge) → new_esEs11(new_compare6(wzz48000, wzz49000, gd, ge), LT)
new_lt18(wzz48000, wzz49000, bfa, bfb, bfc) → new_esEs11(new_compare30(wzz48000, wzz49000, bfa, bfb, bfc), LT)
new_lt4(wzz48000, wzz49000) → new_esEs11(new_compare7(wzz48000, wzz49000), LT)
new_lt7(wzz48000, wzz49000) → new_esEs11(new_compare18(wzz48000, wzz49000), LT)
new_lt12(wzz48000, wzz49000, beg) → new_esEs11(new_compare15(wzz48000, wzz49000, beg), LT)
new_lt14(wzz48000, wzz49000) → new_esEs11(new_compare17(wzz48000, wzz49000), LT)
new_lt11(wzz48000, wzz49000) → new_esEs11(new_compare5(wzz48000, wzz49000), LT)
new_esEs29(wzz20, wzz15, ty_@0) → new_esEs13(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Float) → new_esEs18(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Integer) → new_esEs15(wzz20, wzz15)
new_esEs29(wzz20, wzz15, app(app(ty_@2, bbe), bbf)) → new_esEs7(wzz20, wzz15, bbe, bbf)
new_esEs29(wzz20, wzz15, ty_Ordering) → new_esEs11(wzz20, wzz15)
new_esEs29(wzz20, wzz15, app(app(ty_Either, bag), bah)) → new_esEs5(wzz20, wzz15, bag, bah)
new_esEs29(wzz20, wzz15, app(ty_[], bbg)) → new_esEs16(wzz20, wzz15, bbg)
new_esEs29(wzz20, wzz15, ty_Bool) → new_esEs19(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Char) → new_esEs12(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Double) → new_esEs17(wzz20, wzz15)
new_esEs29(wzz20, wzz15, ty_Int) → new_esEs20(wzz20, wzz15)
new_esEs29(wzz20, wzz15, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs6(wzz20, wzz15, bba, bbb, bbc)
new_esEs29(wzz20, wzz15, app(ty_Ratio, bbd)) → new_esEs14(wzz20, wzz15, bbd)
new_esEs29(wzz20, wzz15, app(ty_Maybe, baf)) → new_esEs4(wzz20, wzz15, baf)

The set Q consists of the following terms:

new_ltEs15(x0, x1)
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Double)
new_esEs13(@0, @0)
new_ltEs14(x0, x1, x2)
new_compare111(x0, x1, False, x2, x3)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs11(EQ, GT)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_ltEs11(GT, EQ)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs19(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Int)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primCompAux1(x0, x1, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_compare111(x0, x1, True, x2, x3)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Bool)
new_esEs4(Nothing, Just(x0), x1)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_primCompAux0(x0, GT)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_ltEs11(EQ, EQ)
new_asAs(False, x0)
new_lt10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_lt14(x0, x1)
new_ltEs16(x0, x1)
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Ordering)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_lt10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs25(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Float)
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_sr0(Integer(x0), Integer(x1))
new_lt9(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare11(x0, x1, False, x2, x3)
new_lt6(x0, x1, x2)
new_lt8(x0, x1)
new_sr(x0, x1)
new_lt9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_compare28(x0, x1, False)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Bool)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare7(Integer(x0), Integer(x1))
new_esEs29(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, x2, x3, x4)
new_lt10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_esEs22(x0, x1, ty_@0)
new_lt9(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_compare31(x0, x1, ty_Ordering)
new_lt11(x0, x1)
new_esEs25(x0, x1, ty_Bool)
new_primCmpNat0(Succ(x0), Succ(x1))
new_primEqNat0(Succ(x0), Zero)
new_esEs10(x0, x1, ty_@0)
new_compare29(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Int)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, ty_Int)
new_esEs19(True, True)
new_primMulNat0(Succ(x0), Succ(x1))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_lt13(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs11(EQ, GT)
new_esEs11(GT, EQ)
new_esEs24(x0, x1, ty_Bool)
new_esEs8(x0, x1, ty_Bool)
new_compare18(@0, @0)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Double)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:(x0, x1), :(x2, x3), x4)
new_compare25(x0, x1, True, x2, x3)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Ordering)
new_lt10(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Succ(x0), Zero)
new_esEs23(x0, x1, ty_Int)
new_lt9(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_[], x2))
new_primEqNat0(Zero, Zero)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Char)
new_esEs10(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_ltEs18(x0, x1, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare31(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_primMulNat0(Succ(x0), Zero)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_ltEs9(False, False)
new_esEs8(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_primMulNat0(Zero, Zero)
new_esEs28(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_compare6(x0, x1, x2, x3)
new_compare31(x0, x1, ty_Integer)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt10(x0, x1, ty_Double)
new_compare24(x0, x1, False, x2, x3)
new_compare9(x0, x1)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(:(x0, x1), [], x2)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_compare13(x0, x1, False)
new_esEs9(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_[], x2))
new_esEs22(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_lt20(x0, x1, ty_Ordering)
new_esEs25(x0, x1, ty_Char)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs11(GT, LT)
new_esEs11(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare12(x0, x1, False, x2)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_ltEs8(x0, x1, x2)
new_ltEs18(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_lt17(x0, x1)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs6(x0, x1)
new_esEs28(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Float)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_ltEs7(Just(x0), Nothing, x1)
new_compare19(x0, x1, True)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare(:(x0, x1), [], x2)
new_esEs26(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(False, True)
new_esEs19(True, False)
new_compare25(Right(x0), Left(x1), False, x2, x3)
new_compare25(Left(x0), Right(x1), False, x2, x3)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs30(x0, x1, ty_Int)
new_esEs11(LT, LT)
new_esEs24(x0, x1, ty_@0)
new_primPlusNat1(Zero, Zero)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(x0, x1, ty_Integer)
new_esEs25(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare31(x0, x1, ty_Int)
new_lt10(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Float)
new_ltEs9(False, True)
new_ltEs9(True, False)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_Float)
new_ltEs9(True, True)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Ordering)
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_compare27(x0, x1, False, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare10(x0, x1, True, x2, x3)
new_esEs21(x0, x1, ty_Int)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare5(Char(x0), Char(x1))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs10(x0, x1, ty_Bool)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_compare13(x0, x1, True)
new_compare10(x0, x1, False, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs11(EQ, LT)
new_esEs11(LT, EQ)
new_esEs25(x0, x1, ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_esEs19(False, False)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, True, x2, x3)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_@0)
new_esEs29(x0, x1, ty_@0)
new_compare15(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt10(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Float)
new_lt9(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Float)
new_lt9(x0, x1, ty_Double)
new_lt9(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, ty_Int)
new_lt9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_lt20(x0, x1, ty_@0)
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1)
new_compare([], [], x0)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_compare16(x0, x1)
new_esEs21(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Double)
new_esEs22(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs11(LT, LT)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1)
new_compare25(Left(x0), Left(x1), False, x2, x3)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Nothing, x1)
new_esEs28(x0, x1, ty_Bool)
new_ltEs11(EQ, LT)
new_pePe(True, x0)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs11(LT, EQ)
new_primMulNat0(Zero, Succ(x0))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_lt9(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Succ(x0))
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs10(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare25(Right(x0), Right(x1), False, x2, x3)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Succ(x0), x1)
new_lt18(x0, x1, x2, x3, x4)
new_lt9(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_Double)
new_compare(:(x0, x1), :(x2, x3), x4)
new_compare17(Float(x0, x1), Float(x2, x3))
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_lt10(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_compare26(x0, x1, False, x2)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_esEs23(x0, x1, ty_Integer)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Integer)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs11(GT, GT)
new_esEs18(Float(x0, x1), Float(x2, x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_not(True)
new_lt10(x0, x1, ty_Bool)
new_esEs16([], :(x0, x1), x2)
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt9(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Integer)
new_lt9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare28(x0, x1, True)
new_fsEs(x0)
new_esEs14(:%(x0, x1), :%(x2, x3), x4)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Bool)
new_esEs12(Char(x0), Char(x1))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_compare26(x0, x1, True, x2)
new_compare110(x0, x1, False, x2, x3, x4)
new_esEs29(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs23(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Integer)
new_lt16(x0, x1, x2)
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, True, x2, x3, x4)
new_compare8(x0, x1, x2, x3)
new_primPlusNat1(Zero, Succ(x0))
new_esEs4(Just(x0), Just(x1), ty_Double)
new_esEs4(Nothing, Nothing, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs16([], [], x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_lt12(x0, x1, x2)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs28(x0, x1, ty_@0)
new_lt10(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare210(x0, x1, False)
new_esEs8(x0, x1, ty_Double)
new_lt10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Nothing, Just(x0), x1)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_compare19(x0, x1, False)
new_lt20(x0, x1, ty_Integer)
new_primCompAux0(x0, EQ)
new_ltEs18(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux0(x0, LT)
new_lt10(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_pePe(False, x0)
new_compare110(x0, x1, True, x2, x3, x4)
new_lt10(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs15(Integer(x0), Integer(x1))
new_compare31(x0, x1, ty_Float)
new_esEs11(EQ, EQ)
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare([], :(x0, x1), x2)
new_esEs21(x0, x1, ty_Ordering)
new_esEs23(x0, x1, ty_Float)
new_compare32(x0, x1)
new_ltEs19(x0, x1, ty_@0)
new_compare24(x0, x1, True, x2, x3)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare14(x0, x1, x2)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_primPlusNat1(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Ordering)
new_lt15(x0, x1, x2, x3)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, ty_Float)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_ltEs11(GT, GT)

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

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