YES H-Termination proof of ../tpdb/FP/full_haskell/FiniteMap_fmToList_LE_4.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:



↳ HASKELL
  ↳ LR

mainModule Main
  ((FiniteMap.fmToList_LE :: Ord b => FiniteMap.FiniteMap [b] a  ->  [b]  ->  [([b],a)]) :: Ord b => FiniteMap.FiniteMap [b] a  ->  [b]  ->  [([b],a)])

module FiniteMap where
  import qualified Main
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

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

  fmToList_LE :: Ord a => FiniteMap a b  ->  a  ->  [(a,b)]
fmToList_LE fm fr = foldFM_LE (\key elt rest ->(key,elt) : rest) [] fr fm

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

  foldFM_LE :: Ord b => (b  ->  a  ->  c  ->  c)  ->  c  ->  b  ->  FiniteMap b a  ->  c
foldFM_LE k z fr EmptyFM = z
foldFM_LE k z fr (Branch key elt _ fm_l fm_r) 
 | key <= fr = 
foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
 | otherwise = 
foldFM_LE k z fr fm_l

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


module Main where
  import qualified FiniteMap
import qualified Maybe
import qualified Prelude

module Maybe where
  import qualified FiniteMap
import qualified Main
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
\keyeltrest→(key,elt) : rest

is transformed to
fmToList_LE0 key elt rest = (key,elt) : rest



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR

mainModule Main
  ((FiniteMap.fmToList_LE :: Ord a => FiniteMap.FiniteMap [a] b  ->  [a]  ->  [([a],b)]) :: Ord a => FiniteMap.FiniteMap [a] b  ->  [a]  ->  [([a],b)])

module FiniteMap where
  import qualified Main
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

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

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

  fmToList_LE :: Ord b => FiniteMap b a  ->  b  ->  [(b,a)]
fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm

  
fmToList_LE0 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_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  foldFM_LE :: Ord a => (a  ->  b  ->  c  ->  c)  ->  c  ->  a  ->  FiniteMap a b  ->  c
foldFM_LE k z fr EmptyFM = z
foldFM_LE k z fr (Branch key elt _ fm_l fm_r) 
 | key <= fr = 
foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
 | otherwise = 
foldFM_LE k z fr fm_l

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


module Main where
  import qualified FiniteMap
import qualified Maybe
import qualified Prelude

module Maybe where
  import qualified FiniteMap
import qualified Main
import qualified Prelude


Case Reductions:
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 Main
  ((FiniteMap.fmToList_LE :: Ord b => FiniteMap.FiniteMap [b] a  ->  [b]  ->  [([b],a)]) :: Ord b => FiniteMap.FiniteMap [b] a  ->  [b]  ->  [([b],a)])

module FiniteMap where
  import qualified Main
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

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

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

  fmToList_LE :: Ord a => FiniteMap a b  ->  a  ->  [(a,b)]
fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm

  
fmToList_LE0 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_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  foldFM_LE :: Ord c => (c  ->  a  ->  b  ->  b)  ->  b  ->  c  ->  FiniteMap c a  ->  b
foldFM_LE k z fr EmptyFM = z
foldFM_LE k z fr (Branch key elt _ fm_l fm_r) 
 | key <= fr = 
foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
 | otherwise = 
foldFM_LE k z fr fm_l

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


module Main where
  import qualified FiniteMap
import qualified Maybe
import qualified Prelude

module Maybe where
  import qualified FiniteMap
import qualified Main
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 Main
  ((FiniteMap.fmToList_LE :: Ord b => FiniteMap.FiniteMap [b] a  ->  [b]  ->  [([b],a)]) :: Ord b => FiniteMap.FiniteMap [b] a  ->  [b]  ->  [([b],a)])

module FiniteMap where
  import qualified Main
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

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

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

  fmToList_LE :: Ord b => FiniteMap b a  ->  b  ->  [(b,a)]
fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm

  
fmToList_LE0 key elt rest = (key,elt) : rest

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

  foldFM_LE :: Ord a => (a  ->  b  ->  c  ->  c)  ->  c  ->  a  ->  FiniteMap a b  ->  c
foldFM_LE k z fr EmptyFM = z
foldFM_LE k z fr (Branch key elt _ fm_l fm_r) 
 | key <= fr = 
foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
 | otherwise = 
foldFM_LE k z fr fm_l

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


module Main where
  import qualified FiniteMap
import qualified Maybe
import qualified Prelude

module Maybe where
  import qualified FiniteMap
import qualified Main
import qualified Prelude


Replaced joker patterns by fresh variables and removed binding patterns.

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

mainModule Main
  ((FiniteMap.fmToList_LE :: Ord a => FiniteMap.FiniteMap [a] b  ->  [a]  ->  [([a],b)]) :: Ord a => FiniteMap.FiniteMap [a] b  ->  [a]  ->  [([a],b)])

module FiniteMap where
  import qualified Main
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

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

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

  fmToList_LE :: Ord a => FiniteMap a b  ->  a  ->  [(a,b)]
fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm

  
fmToList_LE0 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_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  foldFM_LE :: Ord a => (a  ->  c  ->  b  ->  b)  ->  b  ->  a  ->  FiniteMap a c  ->  b
foldFM_LE k z fr EmptyFM = z
foldFM_LE k z fr (Branch key elt vx fm_l fm_r) 
 | key <= fr = 
foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
 | otherwise = 
foldFM_LE k z fr fm_l

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch vy vz size wu wv) = size


module Main where
  import qualified FiniteMap
import qualified Maybe
import qualified Prelude

module Maybe where
  import qualified FiniteMap
import qualified Main
import qualified Prelude


Cond Reductions:
The following Function with conditions
foldFM_LE k z fr EmptyFM = z
foldFM_LE k z fr (Branch key elt vx fm_l fm_r)
 | key <= fr
 = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
 | otherwise
 = foldFM_LE k z fr fm_l

is transformed to
foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM
foldFM_LE k z fr (Branch key elt vx fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r)

foldFM_LE1 k z fr key elt vx fm_l fm_r True = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
foldFM_LE1 k z fr key elt vx fm_l fm_r False = foldFM_LE0 k z fr key elt vx fm_l fm_r otherwise

foldFM_LE0 k z fr key elt vx fm_l fm_r True = foldFM_LE k z fr fm_l

foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r) = foldFM_LE1 k z fr key elt vx fm_l fm_r (key <= fr)

foldFM_LE3 k z fr EmptyFM = z
foldFM_LE3 vvu vvv vvw vvx = foldFM_LE2 vvu vvv vvw vvx

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

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

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x vvy = x
gcd'1 vvz vwu vwv = gcd'0 vwu vwv

gcd'2 x vvy = gcd'1 (vvy == 0) x vvy
gcd'2 vww vwx = gcd'0 vww vwx

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 vwy vwz = gcd3 vwy vwz
gcd x y = gcd0 x y

gcd0 x y = 
gcd' (abs x) (abs y)
where 
gcd' x vvy = gcd'2 x vvy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x vvy = x
gcd'1 vvz vwu vwv = gcd'0 vwu vwv
gcd'2 x vvy = gcd'1 (vvy == 0) x vvy
gcd'2 vww vwx = gcd'0 vww vwx

gcd1 True vwy vwz = error []
gcd1 vxu vxv vxw = gcd0 vxv vxw

gcd2 True vwy vwz = gcd1 (vwz == 0) vwy vwz
gcd2 vxx vxy vxz = gcd0 vxy vxz

gcd3 vwy vwz = gcd2 (vwy == 0) vwy vwz
gcd3 vyu vyv = gcd0 vyu vyv

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

is transformed to
absReal x = absReal2 x

absReal0 x True = `negate` x

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

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

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

compare0 x y True = GT

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

compare3 x y = compare2 x y (x == y)



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

mainModule Main
  ((FiniteMap.fmToList_LE :: Ord b => FiniteMap.FiniteMap [b] a  ->  [b]  ->  [([b],a)]) :: Ord b => FiniteMap.FiniteMap [b] a  ->  [b]  ->  [([b],a)])

module FiniteMap where
  import qualified Main
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

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

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

  fmToList_LE :: Ord a => FiniteMap a b  ->  a  ->  [(a,b)]
fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm

  
fmToList_LE0 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 vw fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  foldFM_LE :: Ord a => (a  ->  b  ->  c  ->  c)  ->  c  ->  a  ->  FiniteMap a b  ->  c
foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM
foldFM_LE k z fr (Branch key elt vx fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r)

  
foldFM_LE0 k z fr key elt vx fm_l fm_r True = foldFM_LE k z fr fm_l

  
foldFM_LE1 k z fr key elt vx fm_l fm_r True = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
foldFM_LE1 k z fr key elt vx fm_l fm_r False = foldFM_LE0 k z fr key elt vx fm_l fm_r otherwise

  
foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r) = foldFM_LE1 k z fr key elt vx fm_l fm_r (key <= fr)

  
foldFM_LE3 k z fr EmptyFM = z
foldFM_LE3 vvu vvv vvw vvx = foldFM_LE2 vvu vvv vvw vvx

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch vy vz size wu wv) = size


module Main where
  import qualified FiniteMap
import qualified Maybe
import qualified Prelude

module Maybe where
  import qualified FiniteMap
import qualified Main
import qualified Prelude


Let/Where Reductions:
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 vyw vyx x y True = error []
reduce2Reduce1 vyw vyx x y False = reduce2Reduce0 vyw vyx x y otherwise

reduce2D vyw vyx = gcd vyw vyx

reduce2Reduce0 vyw vyx x y True = x `quot` reduce2D vyw vyx :% (y `quot` reduce2D vyw vyx)

The bindings of the following Let/Where expression
gcd' (abs x) (abs y)
where 
gcd' x vvy = gcd'2 x vvy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x vvy = x
gcd'1 vvz vwu vwv = gcd'0 vwu vwv
gcd'2 x vvy = gcd'1 (vvy == 0) x vvy
gcd'2 vww vwx = gcd'0 vww vwx

are unpacked to the following functions on top level
gcd0Gcd'0 x y = gcd0Gcd' y (x `rem` y)

gcd0Gcd'1 True x vvy = x
gcd0Gcd'1 vvz vwu vwv = gcd0Gcd'0 vwu vwv

gcd0Gcd'2 x vvy = gcd0Gcd'1 (vvy == 0) x vvy
gcd0Gcd'2 vww vwx = gcd0Gcd'0 vww vwx

gcd0Gcd' x vvy = gcd0Gcd'2 x vvy
gcd0Gcd' x y = gcd0Gcd'0 x y



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

mainModule Main
  ((FiniteMap.fmToList_LE :: Ord a => FiniteMap.FiniteMap [a] b  ->  [a]  ->  [([a],b)]) :: Ord a => FiniteMap.FiniteMap [a] b  ->  [a]  ->  [([a],b)])

module FiniteMap where
  import qualified Main
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

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

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

  fmToList_LE :: Ord b => FiniteMap b a  ->  b  ->  [(b,a)]
fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm

  
fmToList_LE0 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_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  foldFM_LE :: Ord a => (a  ->  c  ->  b  ->  b)  ->  b  ->  a  ->  FiniteMap a c  ->  b
foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM
foldFM_LE k z fr (Branch key elt vx fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r)

  
foldFM_LE0 k z fr key elt vx fm_l fm_r True = foldFM_LE k z fr fm_l

  
foldFM_LE1 k z fr key elt vx fm_l fm_r True = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
foldFM_LE1 k z fr key elt vx fm_l fm_r False = foldFM_LE0 k z fr key elt vx fm_l fm_r otherwise

  
foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r) = foldFM_LE1 k z fr key elt vx fm_l fm_r (key <= fr)

  
foldFM_LE3 k z fr EmptyFM = z
foldFM_LE3 vvu vvv vvw vvx = foldFM_LE2 vvu vvv vvw vvx

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch vy vz size wu wv) = size


module Main where
  import qualified FiniteMap
import qualified Maybe
import qualified Prelude

module Maybe where
  import qualified FiniteMap
import qualified Main
import qualified Prelude


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

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

mainModule Main
  (FiniteMap.fmToList_LE :: Ord a => FiniteMap.FiniteMap [a] b  ->  [a]  ->  [([a],b)])

module FiniteMap where
  import qualified Main
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

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

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

  fmToList_LE :: Ord a => FiniteMap a b  ->  a  ->  [(a,b)]
fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm

  
fmToList_LE0 key elt rest = (key,elt) : rest

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

  foldFM_LE :: Ord a => (a  ->  c  ->  b  ->  b)  ->  b  ->  a  ->  FiniteMap a c  ->  b
foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM
foldFM_LE k z fr (Branch key elt vx fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r)

  
foldFM_LE0 k z fr key elt vx fm_l fm_r True = foldFM_LE k z fr fm_l

  
foldFM_LE1 k z fr key elt vx fm_l fm_r True = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
foldFM_LE1 k z fr key elt vx fm_l fm_r False = foldFM_LE0 k z fr key elt vx fm_l fm_r otherwise

  
foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r) = foldFM_LE1 k z fr key elt vx fm_l fm_r (key <= fr)

  
foldFM_LE3 k z fr EmptyFM = z
foldFM_LE3 vvu vvv vvw vvx = foldFM_LE2 vvu vvv vvw vvx

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM = Pos Zero
sizeFM (Branch vy vz size wu wv) = size


module Main where
  import qualified FiniteMap
import qualified Maybe
import qualified Prelude

module Maybe where
  import qualified FiniteMap
import qualified Main
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_primMulNat(Succ(vyy40000), Succ(vyy300100)) → new_primMulNat(vyy40000, Succ(vyy300100))

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_primPlusNat(Succ(vyy23600), Succ(vyy3001000)) → new_primPlusNat(vyy23600, vyy3001000)

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_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), app(ty_[], ef), ba, cf) → new_esEs3(vyy30000, vyy4000, ef)
new_esEs3(:(vyy30000, vyy30001), :(vyy4000, vyy4001), app(app(ty_Either, bdf), bdg)) → new_esEs1(vyy30000, vyy4000, bdf, bdg)
new_esEs1(Right(vyy30000), Right(vyy4000), hc, app(ty_Maybe, hg)) → new_esEs0(vyy30000, vyy4000, hg)
new_esEs1(Left(vyy30000), Left(vyy4000), app(ty_[], hb), gd) → new_esEs3(vyy30000, vyy4000, hb)
new_esEs3(:(vyy30000, vyy30001), :(vyy4000, vyy4001), app(ty_Maybe, bde)) → new_esEs0(vyy30000, vyy4000, bde)
new_esEs3(:(vyy30000, vyy30001), :(vyy4000, vyy4001), app(ty_[], beb)) → new_esEs3(vyy30000, vyy4000, beb)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), bae, app(app(ty_@2, bbd), bbe)) → new_esEs2(vyy30001, vyy4001, bbd, bbe)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), app(ty_Maybe, ea), ba, cf) → new_esEs0(vyy30000, vyy4000, ea)
new_esEs0(Just(vyy30000), Just(vyy4000), app(ty_Maybe, fb)) → new_esEs0(vyy30000, vyy4000, fb)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, app(app(ty_Either, da), db), cf) → new_esEs1(vyy30001, vyy4001, da, db)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), bae, app(ty_Maybe, bba)) → new_esEs0(vyy30001, vyy4001, bba)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), app(app(ty_@2, bcf), bcg), bcb) → new_esEs2(vyy30000, vyy4000, bcf, bcg)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), app(app(app(ty_@3, df), dg), dh), ba, cf) → new_esEs(vyy30000, vyy4000, df, dg, dh)
new_esEs1(Left(vyy30000), Left(vyy4000), app(app(ty_Either, gf), gg), gd) → new_esEs1(vyy30000, vyy4000, gf, gg)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), bae, app(app(app(ty_@3, baf), bag), bah)) → new_esEs(vyy30001, vyy4001, baf, bag, bah)
new_esEs1(Right(vyy30000), Right(vyy4000), hc, app(app(ty_Either, hh), baa)) → new_esEs1(vyy30000, vyy4000, hh, baa)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), app(app(ty_Either, eb), ec), ba, cf) → new_esEs1(vyy30000, vyy4000, eb, ec)
new_esEs1(Right(vyy30000), Right(vyy4000), hc, app(app(app(ty_@3, hd), he), hf)) → new_esEs(vyy30000, vyy4000, hd, he, hf)
new_esEs1(Left(vyy30000), Left(vyy4000), app(app(ty_@2, gh), ha), gd) → new_esEs2(vyy30000, vyy4000, gh, ha)
new_esEs3(:(vyy30000, vyy30001), :(vyy4000, vyy4001), app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs(vyy30000, vyy4000, bdb, bdc, bdd)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), app(ty_Maybe, bcc), bcb) → new_esEs0(vyy30000, vyy4000, bcc)
new_esEs3(:(vyy30000, vyy30001), :(vyy4000, vyy4001), bda) → new_esEs3(vyy30001, vyy4001, bda)
new_esEs1(Left(vyy30000), Left(vyy4000), app(ty_Maybe, ge), gd) → new_esEs0(vyy30000, vyy4000, ge)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), bae, app(app(ty_Either, bbb), bbc)) → new_esEs1(vyy30001, vyy4001, bbb, bbc)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), app(app(ty_@2, ed), ee), ba, cf) → new_esEs2(vyy30000, vyy4000, ed, ee)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, app(ty_Maybe, cg), cf) → new_esEs0(vyy30001, vyy4001, cg)
new_esEs0(Just(vyy30000), Just(vyy4000), app(app(ty_@2, ff), fg)) → new_esEs2(vyy30000, vyy4000, ff, fg)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), app(app(app(ty_@3, bbg), bbh), bca), bcb) → new_esEs(vyy30000, vyy4000, bbg, bbh, bca)
new_esEs0(Just(vyy30000), Just(vyy4000), app(app(ty_Either, fc), fd)) → new_esEs1(vyy30000, vyy4000, fc, fd)
new_esEs0(Just(vyy30000), Just(vyy4000), app(ty_[], fh)) → new_esEs3(vyy30000, vyy4000, fh)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, app(app(ty_@2, dc), dd), cf) → new_esEs2(vyy30001, vyy4001, dc, dd)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, ba, app(ty_Maybe, be)) → new_esEs0(vyy30002, vyy4002, be)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, app(app(app(ty_@3, cc), cd), ce), cf) → new_esEs(vyy30001, vyy4001, cc, cd, ce)
new_esEs1(Right(vyy30000), Right(vyy4000), hc, app(ty_[], bad)) → new_esEs3(vyy30000, vyy4000, bad)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, ba, app(app(ty_Either, bf), bg)) → new_esEs1(vyy30002, vyy4002, bf, bg)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), app(ty_[], bch), bcb) → new_esEs3(vyy30000, vyy4000, bch)
new_esEs0(Just(vyy30000), Just(vyy4000), app(app(app(ty_@3, eg), eh), fa)) → new_esEs(vyy30000, vyy4000, eg, eh, fa)
new_esEs1(Right(vyy30000), Right(vyy4000), hc, app(app(ty_@2, bab), bac)) → new_esEs2(vyy30000, vyy4000, bab, bac)
new_esEs1(Left(vyy30000), Left(vyy4000), app(app(app(ty_@3, ga), gb), gc), gd) → new_esEs(vyy30000, vyy4000, ga, gb, gc)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, ba, app(ty_[], cb)) → new_esEs3(vyy30002, vyy4002, cb)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, ba, app(app(ty_@2, bh), ca)) → new_esEs2(vyy30002, vyy4002, bh, ca)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), bae, app(ty_[], bbf)) → new_esEs3(vyy30001, vyy4001, bbf)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, app(ty_[], de), cf) → new_esEs3(vyy30001, vyy4001, de)
new_esEs3(:(vyy30000, vyy30001), :(vyy4000, vyy4001), app(app(ty_@2, bdh), bea)) → new_esEs2(vyy30000, vyy4000, bdh, bea)
new_esEs2(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), app(app(ty_Either, bcd), bce), bcb) → new_esEs1(vyy30000, vyy4000, bcd, bce)
new_esEs(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), h, ba, app(app(app(ty_@3, bb), bc), bd)) → new_esEs(vyy30002, vyy4002, bb, bc, bd)

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_primCmpNat(Succ(vyy300000), Succ(vyy40000)) → new_primCmpNat(vyy300000, vyy40000)

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
                                    ↳ UsableRulesProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

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

new_foldFM_LE15(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba) → new_foldFM_LE16(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_compare17(vyy3440, :(vyy40, vyy41), h), h, ba)
new_foldFM_LE17(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE2(vyy34, vyy40, vyy41, vyy343, h, ba)
new_foldFM_LE2(vyy34, vyy40, vyy41, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), h, ba) → new_foldFM_LE15(vyy34, vyy40, vyy41, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_foldFM_LE16(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, vyy101, h, ba) → new_foldFM_LE17(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_esEs13(vyy101, GT), h, ba)
new_foldFM_LE17(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE15(new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE3(vyy34, vyy40, vyy41, vyy343, h, ba), h, ba), vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba)
new_foldFM_LE17(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), vyy344, True, h, ba) → new_foldFM_LE15(vyy34, vyy40, vyy41, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_foldFM_LE17(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, EmptyFM, False, h, ba) → new_foldFM_LE2(vyy34, vyy40, vyy41, vyy343, h, ba)

The TRS R consists of the following rules:

new_esEs38(vyy30000, vyy4000, app(ty_[], egg)) → new_esEs14(vyy30000, vyy4000, egg)
new_esEs8(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_lt21(vyy1070, vyy1080, ty_Bool) → new_lt9(vyy1070, vyy1080)
new_compare18(vyy206, vyy207, vyy208, vyy209, True, bde, bdf) → LT
new_ltEs19(vyy114, vyy115, ty_Ordering) → new_ltEs16(vyy114, vyy115)
new_esEs32(vyy30002, vyy4002, ty_Int) → new_esEs19(vyy30002, vyy4002)
new_ltEs8(False, True) → True
new_esEs31(vyy143, vyy146, ty_Ordering) → new_esEs13(vyy143, vyy146)
new_primCmpNat2(vyy30000, Succ(vyy4000)) → new_primCmpNat0(vyy30000, vyy4000)
new_compare8(Integer(vyy3000), Integer(vyy400)) → new_primCmpInt(vyy3000, vyy400)
new_ltEs7(vyy157, vyy159, app(app(ty_@2, eb), ec)) → new_ltEs14(vyy157, vyy159, eb, ec)
new_esEs4(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_lt19(vyy143, vyy146, ty_Integer) → new_lt18(vyy143, vyy146)
new_compare211(GT, GT, False) → LT
new_esEs5(vyy3000, vyy400, app(ty_[], dch)) → new_esEs14(vyy3000, vyy400, dch)
new_foldFM_LE19(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, vyy101, h, ba) → new_foldFM_LE110(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_esEs13(vyy101, GT), h, ba)
new_esEs32(vyy30002, vyy4002, ty_Integer) → new_esEs26(vyy30002, vyy4002)
new_esEs11(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_lt8(vyy156, vyy158, app(ty_Ratio, eg)) → new_lt11(vyy156, vyy158, eg)
new_ltEs23(vyy121, vyy122, app(ty_Maybe, fag)) → new_ltEs11(vyy121, vyy122, fag)
new_compare26(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, True, bdg, bdh, bea) → EQ
new_esEs31(vyy143, vyy146, ty_Double) → new_esEs23(vyy143, vyy146)
new_esEs30(vyy144, vyy147, app(ty_[], bff)) → new_esEs14(vyy144, vyy147, bff)
new_ltEs19(vyy114, vyy115, app(ty_Maybe, bba)) → new_ltEs11(vyy114, vyy115, bba)
new_ltEs19(vyy114, vyy115, app(ty_Ratio, bah)) → new_ltEs5(vyy114, vyy115, bah)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs25(Float(vyy30000, vyy30001), Float(vyy4000, vyy4001)) → new_esEs19(new_sr(vyy30000, vyy4000), new_sr(vyy30001, vyy4001))
new_esEs12(True, True) → True
new_ltEs24(vyy1071, vyy1081, app(ty_[], fgg)) → new_ltEs12(vyy1071, vyy1081, fgg)
new_esEs36(vyy1070, vyy1080, ty_@0) → new_esEs24(vyy1070, vyy1080)
new_ltEs21(vyy107, vyy108, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs17(vyy107, vyy108, cfa, cfb, cfc)
new_compare0(vyy300, vyy40, ty_Int) → new_compare7(vyy300, vyy40)
new_lt20(vyy144, vyy147, ty_Integer) → new_lt18(vyy144, vyy147)
new_ltEs4(vyy107, vyy108) → new_fsEs(new_compare9(vyy107, vyy108))
new_ltEs24(vyy1071, vyy1081, app(app(ty_@2, fhb), fhc)) → new_ltEs14(vyy1071, vyy1081, fhb, fhc)
new_ltEs22(vyy1072, vyy1082, ty_Float) → new_ltEs15(vyy1072, vyy1082)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Char) → new_esEs17(vyy30000, vyy4000)
new_lt20(vyy144, vyy147, app(app(app(ty_@3, bgc), bgd), bge)) → new_lt4(vyy144, vyy147, bgc, bgd, bge)
new_esEs33(vyy30001, vyy4001, app(app(app(ty_@3, chb), chc), chd)) → new_esEs18(vyy30001, vyy4001, chb, chc, chd)
new_ltEs22(vyy1072, vyy1082, app(app(ty_Either, eae), eaf)) → new_ltEs13(vyy1072, vyy1082, eae, eaf)
new_lt21(vyy1070, vyy1080, ty_Float) → new_lt7(vyy1070, vyy1080)
new_ltEs23(vyy121, vyy122, ty_Char) → new_ltEs4(vyy121, vyy122)
new_ltEs19(vyy114, vyy115, ty_Double) → new_ltEs6(vyy114, vyy115)
new_esEs8(vyy3000, vyy400, app(app(ty_Either, hh), baa)) → new_esEs21(vyy3000, vyy400, hh, baa)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Float, cef) → new_ltEs15(vyy1070, vyy1080)
new_esEs29(vyy156, vyy158, ty_@0) → new_esEs24(vyy156, vyy158)
new_esEs4(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, app(ty_Ratio, dbg)) → new_esEs16(vyy3000, vyy400, dbg)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs31(vyy143, vyy146, ty_Char) → new_esEs17(vyy143, vyy146)
new_esEs11(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs15(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_ltEs14(@2(vyy1070, vyy1071), @2(vyy1080, vyy1081), ceg, ceh) → new_pePe(new_lt23(vyy1070, vyy1080, ceg), new_asAs(new_esEs39(vyy1070, vyy1080, ceg), new_ltEs24(vyy1071, vyy1081, ceh)))
new_ltEs23(vyy121, vyy122, app(app(ty_@2, fbc), fbd)) → new_ltEs14(vyy121, vyy122, fbc, fbd)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Ordering) → new_ltEs16(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, ty_Double) → new_compare12(vyy300, vyy40)
new_esEs33(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_esEs5(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_ltEs20(vyy145, vyy148, app(ty_Maybe, bgg)) → new_ltEs11(vyy145, vyy148, bgg)
new_lt22(vyy1071, vyy1081, ty_Ordering) → new_lt5(vyy1071, vyy1081)
new_compare30(Right(vyy3000), Left(vyy400), dbe, dbf) → GT
new_lt23(vyy1070, vyy1080, ty_Bool) → new_lt9(vyy1070, vyy1080)
new_esEs34(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, app(app(ty_Either, dah), dba)) → new_esEs21(vyy30000, vyy4000, dah, dba)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_Ratio, fcf), cef) → new_ltEs5(vyy1070, vyy1080, fcf)
new_esEs15(vyy30000, vyy4000, app(app(app(ty_@3, bg), bh), ca)) → new_esEs18(vyy30000, vyy4000, bg, bh, ca)
new_pePe(False, vyy235) → vyy235
new_esEs13(EQ, LT) → False
new_esEs13(LT, EQ) → False
new_primCompAux00(vyy92, vyy93, EQ, app(app(ty_@2, dfa), dfb)) → new_compare15(vyy92, vyy93, dfa, dfb)
new_lt22(vyy1071, vyy1081, ty_Double) → new_lt6(vyy1071, vyy1081)
new_esEs37(vyy30001, vyy4001, app(ty_Ratio, eed)) → new_esEs16(vyy30001, vyy4001, eed)
new_esEs29(vyy156, vyy158, app(ty_[], fa)) → new_esEs14(vyy156, vyy158, fa)
new_compare211(EQ, GT, False) → LT
new_esEs36(vyy1070, vyy1080, ty_Double) → new_esEs23(vyy1070, vyy1080)
new_compare17(:(vyy3000, vyy3001), :(vyy400, vyy401), bae) → new_primCompAux1(vyy3000, vyy400, vyy3001, vyy401, bae)
new_esEs29(vyy156, vyy158, app(app(ty_Either, fb), fc)) → new_esEs21(vyy156, vyy158, fb, fc)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(app(ty_@3, feg), feh), ffa)) → new_ltEs17(vyy1070, vyy1080, feg, feh, ffa)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs10(vyy3001, vyy401, ty_Char) → new_esEs17(vyy3001, vyy401)
new_esEs29(vyy156, vyy158, app(app(ty_@2, fd), ff)) → new_esEs22(vyy156, vyy158, fd, ff)
new_esEs15(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_ltEs22(vyy1072, vyy1082, ty_Ordering) → new_ltEs16(vyy1072, vyy1082)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(ty_@2, fee), fef)) → new_ltEs14(vyy1070, vyy1080, fee, fef)
new_ltEs20(vyy145, vyy148, app(ty_[], bgh)) → new_ltEs12(vyy145, vyy148, bgh)
new_ltEs19(vyy114, vyy115, ty_Char) → new_ltEs4(vyy114, vyy115)
new_esEs27(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_primCmpInt(Neg(Succ(vyy30000)), Neg(vyy400)) → new_primCmpNat1(vyy400, vyy30000)
new_ltEs19(vyy114, vyy115, ty_Float) → new_ltEs15(vyy114, vyy115)
new_esEs10(vyy3001, vyy401, app(app(ty_@2, cce), ccf)) → new_esEs22(vyy3001, vyy401, cce, ccf)
new_esEs10(vyy3001, vyy401, ty_Float) → new_esEs25(vyy3001, vyy401)
new_esEs36(vyy1070, vyy1080, app(ty_Ratio, dff)) → new_esEs16(vyy1070, vyy1080, dff)
new_esEs7(vyy3001, vyy401, ty_Ordering) → new_esEs13(vyy3001, vyy401)
new_esEs37(vyy30001, vyy4001, ty_Float) → new_esEs25(vyy30001, vyy4001)
new_esEs35(vyy1071, vyy1081, app(app(ty_@2, dhe), dhf)) → new_esEs22(vyy1071, vyy1081, dhe, dhf)
new_compare0(vyy300, vyy40, app(app(app(ty_@3, caa), cab), cac)) → new_compare10(vyy300, vyy40, caa, cab, cac)
new_lt21(vyy1070, vyy1080, app(app(ty_@2, dgc), dgd)) → new_lt17(vyy1070, vyy1080, dgc, dgd)
new_primCompAux00(vyy92, vyy93, EQ, app(ty_[], def)) → new_compare17(vyy92, vyy93, def)
new_esEs36(vyy1070, vyy1080, app(app(app(ty_@3, dge), dgf), dgg)) → new_esEs18(vyy1070, vyy1080, dge, dgf, dgg)
new_compare14(vyy206, vyy207, vyy208, vyy209, True, vyy211, bde, bdf) → new_compare18(vyy206, vyy207, vyy208, vyy209, True, bde, bdf)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Bool) → new_ltEs8(vyy1070, vyy1080)
new_lt8(vyy156, vyy158, app(app(ty_@2, fd), ff)) → new_lt17(vyy156, vyy158, fd, ff)
new_compare211(LT, LT, False) → LT
new_pePe(True, vyy235) → True
new_primEqNat0(Zero, Zero) → True
new_lt21(vyy1070, vyy1080, app(app(ty_Either, dga), dgb)) → new_lt16(vyy1070, vyy1080, dga, dgb)
new_esEs10(vyy3001, vyy401, app(app(ty_Either, ccc), ccd)) → new_esEs21(vyy3001, vyy401, ccc, ccd)
new_esEs5(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs29(vyy156, vyy158, ty_Ordering) → new_esEs13(vyy156, vyy158)
new_esEs13(GT, LT) → False
new_esEs13(LT, GT) → False
new_lt23(vyy1070, vyy1080, app(ty_Ratio, ffc)) → new_lt11(vyy1070, vyy1080, ffc)
new_esEs6(vyy3000, vyy400, app(app(ty_Either, ddf), ddg)) → new_esEs21(vyy3000, vyy400, ddf, ddg)
new_esEs39(vyy1070, vyy1080, ty_Ordering) → new_esEs13(vyy1070, vyy1080)
new_esEs6(vyy3000, vyy400, app(ty_[], deb)) → new_esEs14(vyy3000, vyy400, deb)
new_ltEs16(EQ, LT) → False
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Float, ebe) → new_esEs25(vyy30000, vyy4000)
new_ltEs7(vyy157, vyy159, ty_Integer) → new_ltEs18(vyy157, vyy159)
new_ltEs16(GT, EQ) → False
new_esEs36(vyy1070, vyy1080, ty_Integer) → new_esEs26(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Integer, cef) → new_ltEs18(vyy1070, vyy1080)
new_ltEs17(@3(vyy1070, vyy1071, vyy1072), @3(vyy1080, vyy1081, vyy1082), cfa, cfb, cfc) → new_pePe(new_lt21(vyy1070, vyy1080, cfa), new_asAs(new_esEs36(vyy1070, vyy1080, cfa), new_pePe(new_lt22(vyy1071, vyy1081, cfb), new_asAs(new_esEs35(vyy1071, vyy1081, cfb), new_ltEs22(vyy1072, vyy1082, cfc)))))
new_esEs39(vyy1070, vyy1080, ty_Integer) → new_esEs26(vyy1070, vyy1080)
new_primCompAux00(vyy92, vyy93, EQ, ty_Ordering) → new_compare11(vyy92, vyy93)
new_primPlusNat0(Succ(vyy2360), vyy300100) → Succ(Succ(new_primPlusNat1(vyy2360, vyy300100)))
new_esEs11(vyy3000, vyy400, app(ty_Maybe, cdd)) → new_esEs20(vyy3000, vyy400, cdd)
new_compare0(vyy300, vyy40, app(ty_Ratio, fce)) → new_compare6(vyy300, vyy40, fce)
new_esEs15(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs6(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_primCompAux00(vyy92, vyy93, EQ, app(ty_Ratio, ded)) → new_compare6(vyy92, vyy93, ded)
new_primEqInt(Neg(Succ(vyy300000)), Neg(Succ(vyy40000))) → new_primEqNat0(vyy300000, vyy40000)
new_lt20(vyy144, vyy147, app(ty_Ratio, bfd)) → new_lt11(vyy144, vyy147, bfd)
new_ltEs7(vyy157, vyy159, ty_Bool) → new_ltEs8(vyy157, vyy159)
new_primPlusNat1(Succ(vyy23600), Zero) → Succ(vyy23600)
new_primPlusNat1(Zero, Succ(vyy3001000)) → Succ(vyy3001000)
new_compare15(@2(vyy3000, vyy3001), @2(vyy400, vyy401), fg, fh) → new_compare24(vyy3000, vyy3001, vyy400, vyy401, new_asAs(new_esEs8(vyy3000, vyy400, fg), new_esEs7(vyy3001, vyy401, fh)), fg, fh)
new_ltEs22(vyy1072, vyy1082, ty_Integer) → new_ltEs18(vyy1072, vyy1082)
new_esEs8(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_Maybe, eca), ebe) → new_esEs20(vyy30000, vyy4000, eca)
new_esEs9(vyy3002, vyy402, app(ty_[], cbe)) → new_esEs14(vyy3002, vyy402, cbe)
new_primCmpNat1(Zero, vyy30000) → LT
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs36(vyy1070, vyy1080, app(ty_Maybe, dfg)) → new_esEs20(vyy1070, vyy1080, dfg)
new_compare31(Just(vyy3000), Nothing, egh) → GT
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Integer, ebe) → new_esEs26(vyy30000, vyy4000)
new_ltEs21(vyy107, vyy108, app(ty_Maybe, bcb)) → new_ltEs11(vyy107, vyy108, bcb)
new_lt8(vyy156, vyy158, app(ty_Maybe, eh)) → new_lt14(vyy156, vyy158, eh)
new_lt19(vyy143, vyy146, ty_Char) → new_lt12(vyy143, vyy146)
new_lt8(vyy156, vyy158, ty_@0) → new_lt10(vyy156, vyy158)
new_ltEs21(vyy107, vyy108, ty_Int) → new_ltEs10(vyy107, vyy108)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_Ratio, fdh)) → new_ltEs5(vyy1070, vyy1080, fdh)
new_esEs10(vyy3001, vyy401, ty_Ordering) → new_esEs13(vyy3001, vyy401)
new_ltEs24(vyy1071, vyy1081, ty_Bool) → new_ltEs8(vyy1071, vyy1081)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(app(ty_@3, eda), edb), edc)) → new_esEs18(vyy30000, vyy4000, eda, edb, edc)
new_lt12(vyy156, vyy158) → new_esEs13(new_compare9(vyy156, vyy158), LT)
new_compare30(Right(vyy3000), Right(vyy400), dbe, dbf) → new_compare210(vyy3000, vyy400, new_esEs6(vyy3000, vyy400, dbf), dbe, dbf)
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCompAux00(vyy92, vyy93, EQ, ty_Float) → new_compare13(vyy92, vyy93)
new_esEs38(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_lt8(vyy156, vyy158, app(ty_[], fa)) → new_lt15(vyy156, vyy158, fa)
new_lt19(vyy143, vyy146, app(app(ty_Either, bee), bef)) → new_lt16(vyy143, vyy146, bee, bef)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Int) → new_ltEs10(vyy1070, vyy1080)
new_primEqInt(Pos(Succ(vyy300000)), Pos(Succ(vyy40000))) → new_primEqNat0(vyy300000, vyy40000)
new_esEs39(vyy1070, vyy1080, app(ty_Maybe, ffd)) → new_esEs20(vyy1070, vyy1080, ffd)
new_esEs35(vyy1071, vyy1081, ty_Double) → new_esEs23(vyy1071, vyy1081)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(ty_Either, bcf), bcg)) → new_ltEs13(vyy1070, vyy1080, bcf, bcg)
new_compare6(:%(vyy3000, vyy3001), :%(vyy400, vyy401), ty_Int) → new_compare7(new_sr(vyy3000, vyy401), new_sr(vyy400, vyy3001))
new_esEs18(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), cfd, cfe, cff) → new_asAs(new_esEs34(vyy30000, vyy4000, cfd), new_asAs(new_esEs33(vyy30001, vyy4001, cfe), new_esEs32(vyy30002, vyy4002, cff)))
new_primEqNat0(Succ(vyy3000000), Succ(vyy400000)) → new_primEqNat0(vyy3000000, vyy400000)
new_ltEs23(vyy121, vyy122, ty_Bool) → new_ltEs8(vyy121, vyy122)
new_ltEs24(vyy1071, vyy1081, ty_Float) → new_ltEs15(vyy1071, vyy1081)
new_esEs33(vyy30001, vyy4001, app(ty_[], dab)) → new_esEs14(vyy30001, vyy4001, dab)
new_ltEs19(vyy114, vyy115, app(app(ty_Either, bbc), bbd)) → new_ltEs13(vyy114, vyy115, bbc, bbd)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs9(vyy3002, vyy402, ty_Char) → new_esEs17(vyy3002, vyy402)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Double) → new_esEs23(vyy30000, vyy4000)
new_lt23(vyy1070, vyy1080, app(app(ty_Either, fff), ffg)) → new_lt16(vyy1070, vyy1080, fff, ffg)
new_ltEs19(vyy114, vyy115, ty_Bool) → new_ltEs8(vyy114, vyy115)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_Maybe, fcg), cef) → new_ltEs11(vyy1070, vyy1080, fcg)
new_lt6(vyy156, vyy158) → new_esEs13(new_compare12(vyy156, vyy158), LT)
new_esEs30(vyy144, vyy147, ty_Ordering) → new_esEs13(vyy144, vyy147)
new_esEs30(vyy144, vyy147, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs18(vyy144, vyy147, bgc, bgd, bge)
new_esEs30(vyy144, vyy147, app(app(ty_Either, bfg), bfh)) → new_esEs21(vyy144, vyy147, bfg, bfh)
new_esEs35(vyy1071, vyy1081, ty_Bool) → new_esEs12(vyy1071, vyy1081)
new_esEs32(vyy30002, vyy4002, app(app(ty_Either, cgd), cge)) → new_esEs21(vyy30002, vyy4002, cgd, cge)
new_esEs29(vyy156, vyy158, ty_Integer) → new_esEs26(vyy156, vyy158)
new_esEs31(vyy143, vyy146, app(ty_Ratio, beb)) → new_esEs16(vyy143, vyy146, beb)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_@0, cef) → new_ltEs9(vyy1070, vyy1080)
new_ltEs21(vyy107, vyy108, ty_Ordering) → new_ltEs16(vyy107, vyy108)
new_primPlusNat1(Succ(vyy23600), Succ(vyy3001000)) → Succ(Succ(new_primPlusNat1(vyy23600, vyy3001000)))
new_esEs9(vyy3002, vyy402, app(app(ty_Either, cba), cbb)) → new_esEs21(vyy3002, vyy402, cba, cbb)
new_esEs15(vyy30000, vyy4000, app(app(ty_Either, cc), cd)) → new_esEs21(vyy30000, vyy4000, cc, cd)
new_ltEs24(vyy1071, vyy1081, ty_Integer) → new_ltEs18(vyy1071, vyy1081)
new_esEs26(Integer(vyy30000), Integer(vyy4000)) → new_primEqInt(vyy30000, vyy4000)
new_lt22(vyy1071, vyy1081, app(ty_[], dhb)) → new_lt15(vyy1071, vyy1081, dhb)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Int, ebe) → new_esEs19(vyy30000, vyy4000)
new_esEs36(vyy1070, vyy1080, ty_Ordering) → new_esEs13(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, ty_Float) → new_esEs25(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Bool) → new_ltEs8(vyy1070, vyy1080)
new_ltEs20(vyy145, vyy148, ty_Float) → new_ltEs15(vyy145, vyy148)
new_esEs32(vyy30002, vyy4002, ty_@0) → new_esEs24(vyy30002, vyy4002)
new_esEs8(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_primEqInt(Neg(Zero), Pos(Succ(vyy40000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy40000))) → False
new_esEs15(vyy30000, vyy4000, app(ty_Maybe, cb)) → new_esEs20(vyy30000, vyy4000, cb)
new_ltEs16(EQ, EQ) → True
new_ltEs23(vyy121, vyy122, app(app(ty_Either, fba), fbb)) → new_ltEs13(vyy121, vyy122, fba, fbb)
new_esEs15(vyy30000, vyy4000, app(ty_Ratio, bf)) → new_esEs16(vyy30000, vyy4000, bf)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs30(vyy144, vyy147, app(app(ty_@2, bga), bgb)) → new_esEs22(vyy144, vyy147, bga, bgb)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_[], feb)) → new_ltEs12(vyy1070, vyy1080, feb)
new_not(False) → True
new_esEs30(vyy144, vyy147, app(ty_Ratio, bfd)) → new_esEs16(vyy144, vyy147, bfd)
new_ltEs21(vyy107, vyy108, ty_Bool) → new_ltEs8(vyy107, vyy108)
new_esEs6(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_lt4(vyy156, vyy158, bb, bc, bd) → new_esEs13(new_compare10(vyy156, vyy158, bb, bc, bd), LT)
new_esEs8(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs7(vyy3001, vyy401, ty_Bool) → new_esEs12(vyy3001, vyy401)
new_lt19(vyy143, vyy146, ty_Float) → new_lt7(vyy143, vyy146)
new_lt20(vyy144, vyy147, app(app(ty_Either, bfg), bfh)) → new_lt16(vyy144, vyy147, bfg, bfh)
new_esEs34(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs35(vyy1071, vyy1081, ty_Char) → new_esEs17(vyy1071, vyy1081)
new_lt21(vyy1070, vyy1080, ty_Ordering) → new_lt5(vyy1070, vyy1080)
new_esEs37(vyy30001, vyy4001, app(app(app(ty_@3, eee), eef), eeg)) → new_esEs18(vyy30001, vyy4001, eee, eef, eeg)
new_esEs9(vyy3002, vyy402, app(app(ty_@2, cbc), cbd)) → new_esEs22(vyy3002, vyy402, cbc, cbd)
new_lt20(vyy144, vyy147, ty_Double) → new_lt6(vyy144, vyy147)
new_foldFM_LE110(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, vyy344, True, h, ba) → new_foldFM_LE3(vyy34, vyy40, vyy41, vyy343, h, ba)
new_ltEs7(vyy157, vyy159, ty_@0) → new_ltEs9(vyy157, vyy159)
new_esEs38(vyy30000, vyy4000, app(app(app(ty_@3, efg), efh), ega)) → new_esEs18(vyy30000, vyy4000, efg, efh, ega)
new_esEs15(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs39(vyy1070, vyy1080, app(app(ty_Either, fff), ffg)) → new_esEs21(vyy1070, vyy1080, fff, ffg)
new_esEs31(vyy143, vyy146, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs18(vyy143, vyy146, bfa, bfb, bfc)
new_esEs28(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs5(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_esEs39(vyy1070, vyy1080, app(app(app(ty_@3, fgb), fgc), fgd)) → new_esEs18(vyy1070, vyy1080, fgb, fgc, fgd)
new_lt19(vyy143, vyy146, app(ty_[], bed)) → new_lt15(vyy143, vyy146, bed)
new_esEs7(vyy3001, vyy401, app(app(ty_Either, gf), gg)) → new_esEs21(vyy3001, vyy401, gf, gg)
new_esEs7(vyy3001, vyy401, ty_Char) → new_esEs17(vyy3001, vyy401)
new_lt5(vyy156, vyy158) → new_esEs13(new_compare11(vyy156, vyy158), LT)
new_esEs34(vyy30000, vyy4000, app(app(ty_@2, dbb), dbc)) → new_esEs22(vyy30000, vyy4000, dbb, dbc)
new_esEs32(vyy30002, vyy4002, app(app(app(ty_@3, cfh), cga), cgb)) → new_esEs18(vyy30002, vyy4002, cfh, cga, cgb)
new_compare28(True, False) → GT
new_compare28(True, True) → EQ
new_primMulInt(Neg(vyy4000), Neg(vyy30010)) → Pos(new_primMulNat0(vyy4000, vyy30010))
new_esEs13(GT, GT) → True
new_lt7(vyy156, vyy158) → new_esEs13(new_compare13(vyy156, vyy158), LT)
new_esEs4(vyy3000, vyy400, app(app(app(ty_@3, cfd), cfe), cff)) → new_esEs18(vyy3000, vyy400, cfd, cfe, cff)
new_esEs7(vyy3001, vyy401, ty_Integer) → new_esEs26(vyy3001, vyy401)
new_primEqNat0(Zero, Succ(vyy400000)) → False
new_primEqNat0(Succ(vyy3000000), Zero) → False
new_ltEs8(False, False) → True
new_compare25(vyy114, vyy115, True, baf, bag) → EQ
new_esEs31(vyy143, vyy146, app(app(ty_@2, beg), beh)) → new_esEs22(vyy143, vyy146, beg, beh)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Int, cef) → new_ltEs10(vyy1070, vyy1080)
new_ltEs22(vyy1072, vyy1082, ty_@0) → new_ltEs9(vyy1072, vyy1082)
new_lt21(vyy1070, vyy1080, app(ty_Maybe, dfg)) → new_lt14(vyy1070, vyy1080, dfg)
new_esEs33(vyy30001, vyy4001, ty_Char) → new_esEs17(vyy30001, vyy4001)
new_esEs5(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_lt22(vyy1071, vyy1081, ty_@0) → new_lt10(vyy1071, vyy1081)
new_lt20(vyy144, vyy147, ty_Ordering) → new_lt5(vyy144, vyy147)
new_esEs23(Double(vyy30000, vyy30001), Double(vyy4000, vyy4001)) → new_esEs19(new_sr(vyy30000, vyy4000), new_sr(vyy30001, vyy4001))
new_ltEs20(vyy145, vyy148, ty_Ordering) → new_ltEs16(vyy145, vyy148)
new_primCmpInt(Neg(Zero), Neg(Succ(vyy4000))) → new_primCmpNat2(vyy4000, Zero)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(ty_@2, ecd), ece), ebe) → new_esEs22(vyy30000, vyy4000, ecd, ece)
new_esEs35(vyy1071, vyy1081, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs18(vyy1071, vyy1081, dhg, dhh, eaa)
new_compare211(GT, EQ, False) → GT
new_esEs8(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy4000))) → GT
new_compare110(vyy179, vyy180, False, ffb) → GT
new_compare26(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, False, bdg, bdh, bea) → new_compare19(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, new_lt19(vyy143, vyy146, bdg), new_asAs(new_esEs31(vyy143, vyy146, bdg), new_pePe(new_lt20(vyy144, vyy147, bdh), new_asAs(new_esEs30(vyy144, vyy147, bdh), new_ltEs20(vyy145, vyy148, bea)))), bdg, bdh, bea)
new_esEs17(Char(vyy30000), Char(vyy4000)) → new_primEqInt(vyy30000, vyy4000)
new_esEs37(vyy30001, vyy4001, app(app(ty_@2, efc), efd)) → new_esEs22(vyy30001, vyy4001, efc, efd)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(ty_@2, faa), fab)) → new_esEs22(vyy30000, vyy4000, faa, fab)
new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, False, fcb, fcc, fcd) → GT
new_lt10(vyy156, vyy158) → new_esEs13(new_compare27(vyy156, vyy158), LT)
new_ltEs23(vyy121, vyy122, ty_Ordering) → new_ltEs16(vyy121, vyy122)
new_lt20(vyy144, vyy147, ty_Float) → new_lt7(vyy144, vyy147)
new_compare29(vyy107, vyy108, False, ced) → new_compare110(vyy107, vyy108, new_ltEs21(vyy107, vyy108, ced), ced)
new_esEs7(vyy3001, vyy401, ty_Int) → new_esEs19(vyy3001, vyy401)
new_primCompAux00(vyy92, vyy93, EQ, app(ty_Maybe, dee)) → new_compare31(vyy92, vyy93, dee)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_[], fch), cef) → new_ltEs12(vyy1070, vyy1080, fch)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_@0) → new_ltEs9(vyy1070, vyy1080)
new_lt21(vyy1070, vyy1080, ty_Double) → new_lt6(vyy1070, vyy1080)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_compare13(Float(vyy3000, vyy3001), Float(vyy400, vyy401)) → new_compare7(new_sr(vyy3000, vyy400), new_sr(vyy3001, vyy401))
new_lt8(vyy156, vyy158, ty_Double) → new_lt6(vyy156, vyy158)
new_esEs9(vyy3002, vyy402, ty_Float) → new_esEs25(vyy3002, vyy402)
new_esEs11(vyy3000, vyy400, app(ty_[], cea)) → new_esEs14(vyy3000, vyy400, cea)
new_esEs14(:(vyy30000, vyy30001), :(vyy4000, vyy4001), be) → new_asAs(new_esEs15(vyy30000, vyy4000, be), new_esEs14(vyy30001, vyy4001, be))
new_esEs36(vyy1070, vyy1080, app(app(ty_Either, dga), dgb)) → new_esEs21(vyy1070, vyy1080, dga, dgb)
new_asAs(False, vyy174) → False
new_lt23(vyy1070, vyy1080, ty_Integer) → new_lt18(vyy1070, vyy1080)
new_esEs7(vyy3001, vyy401, ty_@0) → new_esEs24(vyy3001, vyy401)
new_lt8(vyy156, vyy158, ty_Bool) → new_lt9(vyy156, vyy158)
new_primMulInt(Neg(vyy4000), Pos(vyy30010)) → Neg(new_primMulNat0(vyy4000, vyy30010))
new_primMulInt(Pos(vyy4000), Neg(vyy30010)) → Neg(new_primMulNat0(vyy4000, vyy30010))
new_lt8(vyy156, vyy158, ty_Ordering) → new_lt5(vyy156, vyy158)
new_fsEs(vyy230) → new_not(new_esEs13(vyy230, GT))
new_esEs34(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs4(vyy3000, vyy400, app(ty_Maybe, eha)) → new_esEs20(vyy3000, vyy400, eha)
new_compare211(EQ, LT, False) → GT
new_ltEs23(vyy121, vyy122, ty_Double) → new_ltEs6(vyy121, vyy122)
new_esEs36(vyy1070, vyy1080, app(ty_[], dfh)) → new_esEs14(vyy1070, vyy1080, dfh)
new_esEs29(vyy156, vyy158, app(ty_Ratio, eg)) → new_esEs16(vyy156, vyy158, eg)
new_lt23(vyy1070, vyy1080, app(ty_[], ffe)) → new_lt15(vyy1070, vyy1080, ffe)
new_primCompAux00(vyy92, vyy93, GT, dec) → GT
new_ltEs7(vyy157, vyy159, ty_Double) → new_ltEs6(vyy157, vyy159)
new_esEs30(vyy144, vyy147, ty_@0) → new_esEs24(vyy144, vyy147)
new_compare0(vyy300, vyy40, ty_Bool) → new_compare28(vyy300, vyy40)
new_esEs35(vyy1071, vyy1081, app(ty_Maybe, dha)) → new_esEs20(vyy1071, vyy1081, dha)
new_esEs8(vyy3000, vyy400, app(app(ty_@2, bab), bac)) → new_esEs22(vyy3000, vyy400, bab, bac)
new_esEs38(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Integer) → new_ltEs18(vyy1070, vyy1080)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Double, ebe) → new_esEs23(vyy30000, vyy4000)
new_ltEs13(Right(vyy1070), Left(vyy1080), cee, cef) → False
new_lt23(vyy1070, vyy1080, app(ty_Maybe, ffd)) → new_lt14(vyy1070, vyy1080, ffd)
new_lt21(vyy1070, vyy1080, app(ty_Ratio, dff)) → new_lt11(vyy1070, vyy1080, dff)
new_ltEs7(vyy157, vyy159, app(ty_Maybe, df)) → new_ltEs11(vyy157, vyy159, df)
new_lt21(vyy1070, vyy1080, ty_Int) → new_lt13(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, app(app(ty_@2, ffh), fga)) → new_esEs22(vyy1070, vyy1080, ffh, fga)
new_esEs34(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs6(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, app(app(ty_Either, ecg), ebe)) → new_esEs21(vyy3000, vyy400, ecg, ebe)
new_esEs37(vyy30001, vyy4001, app(ty_[], efe)) → new_esEs14(vyy30001, vyy4001, efe)
new_esEs34(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_ltEs24(vyy1071, vyy1081, app(ty_Maybe, fgf)) → new_ltEs11(vyy1071, vyy1081, fgf)
new_ltEs20(vyy145, vyy148, ty_Int) → new_ltEs10(vyy145, vyy148)
new_ltEs7(vyy157, vyy159, app(app(app(ty_@3, ed), ee), ef)) → new_ltEs17(vyy157, vyy159, ed, ee, ef)
new_esEs4(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_lt13(vyy156, vyy158) → new_esEs13(new_compare7(vyy156, vyy158), LT)
new_esEs15(vyy30000, vyy4000, app(ty_[], cg)) → new_esEs14(vyy30000, vyy4000, cg)
new_esEs31(vyy143, vyy146, app(app(ty_Either, bee), bef)) → new_esEs21(vyy143, vyy146, bee, bef)
new_esEs4(vyy3000, vyy400, app(app(ty_@2, eeb), eec)) → new_esEs22(vyy3000, vyy400, eeb, eec)
new_lt8(vyy156, vyy158, ty_Float) → new_lt7(vyy156, vyy158)
new_esEs38(vyy30000, vyy4000, app(ty_Maybe, egb)) → new_esEs20(vyy30000, vyy4000, egb)
new_compare211(LT, EQ, False) → LT
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Char) → new_ltEs4(vyy1070, vyy1080)
new_esEs29(vyy156, vyy158, app(ty_Maybe, eh)) → new_esEs20(vyy156, vyy158, eh)
new_lt19(vyy143, vyy146, ty_Double) → new_lt6(vyy143, vyy146)
new_esEs37(vyy30001, vyy4001, ty_Double) → new_esEs23(vyy30001, vyy4001)
new_esEs34(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_lt20(vyy144, vyy147, ty_Char) → new_lt12(vyy144, vyy147)
new_esEs30(vyy144, vyy147, ty_Double) → new_esEs23(vyy144, vyy147)
new_ltEs22(vyy1072, vyy1082, app(ty_Maybe, eac)) → new_ltEs11(vyy1072, vyy1082, eac)
new_ltEs10(vyy107, vyy108) → new_fsEs(new_compare7(vyy107, vyy108))
new_primCompAux00(vyy92, vyy93, EQ, app(app(app(ty_@3, dfc), dfd), dfe)) → new_compare10(vyy92, vyy93, dfc, dfd, dfe)
new_lt19(vyy143, vyy146, ty_@0) → new_lt10(vyy143, vyy146)
new_esEs29(vyy156, vyy158, ty_Float) → new_esEs25(vyy156, vyy158)
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_[], bce)) → new_ltEs12(vyy1070, vyy1080, bce)
new_asAs(True, vyy174) → vyy174
new_esEs39(vyy1070, vyy1080, ty_Bool) → new_esEs12(vyy1070, vyy1080)
new_esEs30(vyy144, vyy147, app(ty_Maybe, bfe)) → new_esEs20(vyy144, vyy147, bfe)
new_esEs11(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_ltEs11(Nothing, Nothing, bcb) → True
new_ltEs16(LT, LT) → True
new_esEs6(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, app(ty_Ratio, cch)) → new_esEs16(vyy3000, vyy400, cch)
new_lt23(vyy1070, vyy1080, ty_Ordering) → new_lt5(vyy1070, vyy1080)
new_compare211(vyy300, vyy40, True) → EQ
new_lt15(vyy156, vyy158, fa) → new_esEs13(new_compare17(vyy156, vyy158, fa), LT)
new_esEs31(vyy143, vyy146, ty_@0) → new_esEs24(vyy143, vyy146)
new_compare0(vyy300, vyy40, ty_Integer) → new_compare8(vyy300, vyy40)
new_ltEs19(vyy114, vyy115, app(app(ty_@2, bbe), bbf)) → new_ltEs14(vyy114, vyy115, bbe, bbf)
new_ltEs20(vyy145, vyy148, ty_@0) → new_ltEs9(vyy145, vyy148)
new_fmToList_LE0(vyy340, vyy341, vyy96, h, ba) → :(@2(vyy340, vyy341), vyy96)
new_ltEs6(vyy107, vyy108) → new_fsEs(new_compare12(vyy107, vyy108))
new_esEs33(vyy30001, vyy4001, ty_Ordering) → new_esEs13(vyy30001, vyy4001)
new_esEs22(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), eeb, eec) → new_asAs(new_esEs38(vyy30000, vyy4000, eeb), new_esEs37(vyy30001, vyy4001, eec))
new_esEs38(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs7(vyy3001, vyy401, app(ty_Ratio, ga)) → new_esEs16(vyy3001, vyy401, ga)
new_ltEs23(vyy121, vyy122, ty_Float) → new_ltEs15(vyy121, vyy122)
new_esEs33(vyy30001, vyy4001, ty_Float) → new_esEs25(vyy30001, vyy4001)
new_lt14(vyy156, vyy158, eh) → new_esEs13(new_compare31(vyy156, vyy158, eh), LT)
new_ltEs22(vyy1072, vyy1082, ty_Int) → new_ltEs10(vyy1072, vyy1082)
new_lt21(vyy1070, vyy1080, app(app(app(ty_@3, dge), dgf), dgg)) → new_lt4(vyy1070, vyy1080, dge, dgf, dgg)
new_primCmpInt(Pos(Succ(vyy30000)), Pos(vyy400)) → new_primCmpNat2(vyy30000, vyy400)
new_ltEs11(Just(vyy1070), Nothing, bcb) → False
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_not(True) → False
new_esEs27(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_lt23(vyy1070, vyy1080, ty_@0) → new_lt10(vyy1070, vyy1080)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(ty_Either, ede), edf)) → new_esEs21(vyy30000, vyy4000, ede, edf)
new_esEs10(vyy3001, vyy401, app(app(app(ty_@3, cbg), cbh), cca)) → new_esEs18(vyy3001, vyy401, cbg, cbh, cca)
new_ltEs24(vyy1071, vyy1081, ty_@0) → new_ltEs9(vyy1071, vyy1081)
new_ltEs16(GT, GT) → True
new_compare18(vyy206, vyy207, vyy208, vyy209, False, bde, bdf) → GT
new_esEs33(vyy30001, vyy4001, app(ty_Ratio, cha)) → new_esEs16(vyy30001, vyy4001, cha)
new_compare10(@3(vyy3000, vyy3001, vyy3002), @3(vyy400, vyy401, vyy402), caa, cab, cac) → new_compare26(vyy3000, vyy3001, vyy3002, vyy400, vyy401, vyy402, new_asAs(new_esEs11(vyy3000, vyy400, caa), new_asAs(new_esEs10(vyy3001, vyy401, cab), new_esEs9(vyy3002, vyy402, cac))), caa, cab, cac)
new_ltEs21(vyy107, vyy108, app(ty_[], bhh)) → new_ltEs12(vyy107, vyy108, bhh)
new_esEs39(vyy1070, vyy1080, ty_Float) → new_esEs25(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, app(app(ty_Either, dbe), dbf)) → new_compare30(vyy300, vyy40, dbe, dbf)
new_lt9(vyy156, vyy158) → new_esEs13(new_compare28(vyy156, vyy158), LT)
new_ltEs16(LT, GT) → True
new_esEs11(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_lt23(vyy1070, vyy1080, app(app(app(ty_@3, fgb), fgc), fgd)) → new_lt4(vyy1070, vyy1080, fgb, fgc, fgd)
new_esEs37(vyy30001, vyy4001, app(app(ty_Either, efa), efb)) → new_esEs21(vyy30001, vyy4001, efa, efb)
new_esEs9(vyy3002, vyy402, ty_Integer) → new_esEs26(vyy3002, vyy402)
new_ltEs23(vyy121, vyy122, app(app(app(ty_@3, fbe), fbf), fbg)) → new_ltEs17(vyy121, vyy122, fbe, fbf, fbg)
new_esEs31(vyy143, vyy146, app(ty_[], bed)) → new_esEs14(vyy143, vyy146, bed)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Ordering, cef) → new_ltEs16(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Float) → new_ltEs15(vyy1070, vyy1080)
new_primMulNat0(Zero, Zero) → Zero
new_lt20(vyy144, vyy147, ty_Int) → new_lt13(vyy144, vyy147)
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_Maybe, ehf)) → new_esEs20(vyy30000, vyy4000, ehf)
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_[], ecf), ebe) → new_esEs14(vyy30000, vyy4000, ecf)
new_esEs7(vyy3001, vyy401, app(ty_Maybe, ge)) → new_esEs20(vyy3001, vyy401, ge)
new_lt22(vyy1071, vyy1081, app(ty_Maybe, dha)) → new_lt14(vyy1071, vyy1081, dha)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_Ratio, ech)) → new_esEs16(vyy30000, vyy4000, ech)
new_compare14(vyy206, vyy207, vyy208, vyy209, False, vyy211, bde, bdf) → new_compare18(vyy206, vyy207, vyy208, vyy209, vyy211, bde, bdf)
new_esEs6(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, app(ty_[], bad)) → new_esEs14(vyy3000, vyy400, bad)
new_esEs13(EQ, EQ) → True
new_lt22(vyy1071, vyy1081, app(app(ty_@2, dhe), dhf)) → new_lt17(vyy1071, vyy1081, dhe, dhf)
new_esEs11(vyy3000, vyy400, app(app(app(ty_@3, cda), cdb), cdc)) → new_esEs18(vyy3000, vyy400, cda, cdb, cdc)
new_esEs20(Nothing, Nothing, eha) → True
new_lt19(vyy143, vyy146, ty_Int) → new_lt13(vyy143, vyy146)
new_ltEs19(vyy114, vyy115, ty_Int) → new_ltEs10(vyy114, vyy115)
new_esEs38(vyy30000, vyy4000, app(app(ty_Either, egc), egd)) → new_esEs21(vyy30000, vyy4000, egc, egd)
new_esEs10(vyy3001, vyy401, ty_Double) → new_esEs23(vyy3001, vyy401)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Char, ebe) → new_esEs17(vyy30000, vyy4000)
new_lt8(vyy156, vyy158, app(app(app(ty_@3, bb), bc), bd)) → new_lt4(vyy156, vyy158, bb, bc, bd)
new_esEs7(vyy3001, vyy401, ty_Double) → new_esEs23(vyy3001, vyy401)
new_ltEs20(vyy145, vyy148, app(app(ty_Either, bha), bhb)) → new_ltEs13(vyy145, vyy148, bha, bhb)
new_esEs32(vyy30002, vyy4002, app(ty_[], cgh)) → new_esEs14(vyy30002, vyy4002, cgh)
new_esEs14([], [], be) → True
new_ltEs24(vyy1071, vyy1081, app(ty_Ratio, fge)) → new_ltEs5(vyy1071, vyy1081, fge)
new_esEs38(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(app(ty_@3, fde), fdf), fdg), cef) → new_ltEs17(vyy1070, vyy1080, fde, fdf, fdg)
new_ltEs22(vyy1072, vyy1082, app(app(ty_@2, eag), eah)) → new_ltEs14(vyy1072, vyy1082, eag, eah)
new_esEs30(vyy144, vyy147, ty_Float) → new_esEs25(vyy144, vyy147)
new_esEs10(vyy3001, vyy401, ty_Bool) → new_esEs12(vyy3001, vyy401)
new_esEs11(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_lt17(vyy156, vyy158, fd, ff) → new_esEs13(new_compare15(vyy156, vyy158, fd, ff), LT)
new_lt23(vyy1070, vyy1080, ty_Int) → new_lt13(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, ty_Float) → new_compare13(vyy300, vyy40)
new_ltEs16(EQ, GT) → True
new_lt20(vyy144, vyy147, app(app(ty_@2, bga), bgb)) → new_lt17(vyy144, vyy147, bga, bgb)
new_lt19(vyy143, vyy146, app(ty_Maybe, bec)) → new_lt14(vyy143, vyy146, bec)
new_ltEs23(vyy121, vyy122, app(ty_Ratio, faf)) → new_ltEs5(vyy121, vyy122, faf)
new_esEs8(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_ltEs21(vyy107, vyy108, app(app(ty_@2, ceg), ceh)) → new_ltEs14(vyy107, vyy108, ceg, ceh)
new_esEs37(vyy30001, vyy4001, ty_Bool) → new_esEs12(vyy30001, vyy4001)
new_esEs9(vyy3002, vyy402, app(ty_Ratio, cad)) → new_esEs16(vyy3002, vyy402, cad)
new_esEs32(vyy30002, vyy4002, ty_Ordering) → new_esEs13(vyy30002, vyy4002)
new_compare211(LT, GT, False) → LT
new_esEs34(vyy30000, vyy4000, app(app(app(ty_@3, dad), dae), daf)) → new_esEs18(vyy30000, vyy4000, dad, dae, daf)
new_esEs33(vyy30001, vyy4001, app(ty_Maybe, che)) → new_esEs20(vyy30001, vyy4001, che)
new_primCmpNat0(Zero, Succ(vyy40000)) → LT
new_esEs39(vyy1070, vyy1080, ty_Double) → new_esEs23(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, app(app(ty_@2, fg), fh)) → new_compare15(vyy300, vyy40, fg, fh)
new_ltEs20(vyy145, vyy148, ty_Bool) → new_ltEs8(vyy145, vyy148)
new_ltEs22(vyy1072, vyy1082, app(app(app(ty_@3, eba), ebb), ebc)) → new_ltEs17(vyy1072, vyy1082, eba, ebb, ebc)
new_esEs24(@0, @0) → True
new_lt22(vyy1071, vyy1081, app(ty_Ratio, dgh)) → new_lt11(vyy1071, vyy1081, dgh)
new_esEs38(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_primCompAux00(vyy92, vyy93, EQ, ty_Double) → new_compare12(vyy92, vyy93)
new_lt19(vyy143, vyy146, ty_Bool) → new_lt9(vyy143, vyy146)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(ty_Either, ecb), ecc), ebe) → new_esEs21(vyy30000, vyy4000, ecb, ecc)
new_esEs38(vyy30000, vyy4000, app(app(ty_@2, ege), egf)) → new_esEs22(vyy30000, vyy4000, ege, egf)
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(app(ty_@3, ehc), ehd), ehe)) → new_esEs18(vyy30000, vyy4000, ehc, ehd, ehe)
new_esEs7(vyy3001, vyy401, ty_Float) → new_esEs25(vyy3001, vyy401)
new_esEs11(vyy3000, vyy400, app(app(ty_Either, cde), cdf)) → new_esEs21(vyy3000, vyy400, cde, cdf)
new_ltEs19(vyy114, vyy115, ty_Integer) → new_ltEs18(vyy114, vyy115)
new_esEs7(vyy3001, vyy401, app(app(ty_@2, gh), ha)) → new_esEs22(vyy3001, vyy401, gh, ha)
new_ltEs11(Nothing, Just(vyy1080), bcb) → True
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_Maybe, bcd)) → new_ltEs11(vyy1070, vyy1080, bcd)
new_esEs8(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_compare111(vyy193, vyy194, False, fbh, fca) → GT
new_esEs6(vyy3000, vyy400, app(ty_Ratio, dda)) → new_esEs16(vyy3000, vyy400, dda)
new_lt19(vyy143, vyy146, ty_Ordering) → new_lt5(vyy143, vyy146)
new_lt23(vyy1070, vyy1080, ty_Float) → new_lt7(vyy1070, vyy1080)
new_esEs37(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_esEs32(vyy30002, vyy4002, ty_Bool) → new_esEs12(vyy30002, vyy4002)
new_esEs35(vyy1071, vyy1081, app(app(ty_Either, dhc), dhd)) → new_esEs21(vyy1071, vyy1081, dhc, dhd)
new_sr(vyy400, vyy3001) → new_primMulInt(vyy400, vyy3001)
new_compare7(vyy300, vyy40) → new_primCmpInt(vyy300, vyy40)
new_esEs37(vyy30001, vyy4001, ty_@0) → new_esEs24(vyy30001, vyy4001)
new_esEs4(vyy3000, vyy400, app(ty_[], be)) → new_esEs14(vyy3000, vyy400, be)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_Ratio, bcc)) → new_ltEs5(vyy1070, vyy1080, bcc)
new_ltEs22(vyy1072, vyy1082, ty_Char) → new_ltEs4(vyy1072, vyy1082)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Char) → new_ltEs4(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_Maybe, fea)) → new_ltEs11(vyy1070, vyy1080, fea)
new_primCmpInt(Pos(Zero), Pos(Succ(vyy4000))) → new_primCmpNat1(Zero, vyy4000)
new_lt19(vyy143, vyy146, app(ty_Ratio, beb)) → new_lt11(vyy143, vyy146, beb)
new_esEs12(False, False) → True
new_esEs30(vyy144, vyy147, ty_Int) → new_esEs19(vyy144, vyy147)
new_lt20(vyy144, vyy147, ty_Bool) → new_lt9(vyy144, vyy147)
new_compare6(:%(vyy3000, vyy3001), :%(vyy400, vyy401), ty_Integer) → new_compare8(new_sr0(vyy3000, vyy401), new_sr0(vyy400, vyy3001))
new_lt22(vyy1071, vyy1081, ty_Int) → new_lt13(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, app(app(ty_Either, dhc), dhd)) → new_lt16(vyy1071, vyy1081, dhc, dhd)
new_compare17([], [], bae) → EQ
new_ltEs22(vyy1072, vyy1082, app(ty_Ratio, eab)) → new_ltEs5(vyy1072, vyy1082, eab)
new_ltEs20(vyy145, vyy148, ty_Char) → new_ltEs4(vyy145, vyy148)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Double) → new_ltEs6(vyy1070, vyy1080)
new_ltEs16(LT, EQ) → True
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Ordering, ebe) → new_esEs13(vyy30000, vyy4000)
new_esEs32(vyy30002, vyy4002, app(app(ty_@2, cgf), cgg)) → new_esEs22(vyy30002, vyy4002, cgf, cgg)
new_esEs5(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_ltEs8(True, True) → True
new_lt21(vyy1070, vyy1080, app(ty_[], dfh)) → new_lt15(vyy1070, vyy1080, dfh)
new_ltEs22(vyy1072, vyy1082, ty_Bool) → new_ltEs8(vyy1072, vyy1082)
new_esEs14(:(vyy30000, vyy30001), [], be) → False
new_esEs14([], :(vyy4000, vyy4001), be) → False
new_esEs15(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs39(vyy1070, vyy1080, ty_Int) → new_esEs19(vyy1070, vyy1080)
new_lt8(vyy156, vyy158, ty_Char) → new_lt12(vyy156, vyy158)
new_ltEs7(vyy157, vyy159, ty_Float) → new_ltEs15(vyy157, vyy159)
new_esEs4(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_compare211(EQ, EQ, False) → LT
new_esEs9(vyy3002, vyy402, ty_@0) → new_esEs24(vyy3002, vyy402)
new_ltEs24(vyy1071, vyy1081, ty_Double) → new_ltEs6(vyy1071, vyy1081)
new_esEs10(vyy3001, vyy401, ty_@0) → new_esEs24(vyy3001, vyy401)
new_ltEs21(vyy107, vyy108, app(app(ty_Either, cee), cef)) → new_ltEs13(vyy107, vyy108, cee, cef)
new_primEqInt(Neg(Zero), Neg(Succ(vyy40000))) → False
new_primEqInt(Neg(Succ(vyy300000)), Neg(Zero)) → False
new_esEs5(vyy3000, vyy400, app(app(ty_@2, dcf), dcg)) → new_esEs22(vyy3000, vyy400, dcf, dcg)
new_foldFM_LE3(vyy34, vyy40, vyy41, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), h, ba) → new_foldFM_LE18(vyy34, vyy40, vyy41, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_esEs11(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_ltEs7(vyy157, vyy159, app(ty_Ratio, de)) → new_ltEs5(vyy157, vyy159, de)
new_lt20(vyy144, vyy147, ty_@0) → new_lt10(vyy144, vyy147)
new_esEs33(vyy30001, vyy4001, ty_@0) → new_esEs24(vyy30001, vyy4001)
new_compare31(Nothing, Nothing, egh) → EQ
new_esEs32(vyy30002, vyy4002, ty_Char) → new_esEs17(vyy30002, vyy4002)
new_ltEs20(vyy145, vyy148, app(ty_Ratio, bgf)) → new_ltEs5(vyy145, vyy148, bgf)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Ordering) → new_ltEs16(vyy1070, vyy1080)
new_ltEs16(GT, LT) → False
new_compare19(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, vyy228, fcb, fcc, fcd) → new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, fcb, fcc, fcd)
new_esEs28(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_primCmpNat1(Succ(vyy4000), vyy30000) → new_primCmpNat0(vyy4000, vyy30000)
new_esEs8(vyy3000, vyy400, app(ty_Maybe, hg)) → new_esEs20(vyy3000, vyy400, hg)
new_compare30(Left(vyy3000), Left(vyy400), dbe, dbf) → new_compare25(vyy3000, vyy400, new_esEs5(vyy3000, vyy400, dbe), dbe, dbf)
new_primCmpNat0(Succ(vyy300000), Succ(vyy40000)) → new_primCmpNat0(vyy300000, vyy40000)
new_compare28(False, False) → EQ
new_esEs13(LT, LT) → True
new_esEs35(vyy1071, vyy1081, ty_@0) → new_esEs24(vyy1071, vyy1081)
new_esEs33(vyy30001, vyy4001, app(app(ty_Either, chf), chg)) → new_esEs21(vyy30001, vyy4001, chf, chg)
new_esEs36(vyy1070, vyy1080, ty_Bool) → new_esEs12(vyy1070, vyy1080)
new_compare28(False, True) → LT
new_esEs37(vyy30001, vyy4001, ty_Char) → new_esEs17(vyy30001, vyy4001)
new_lt19(vyy143, vyy146, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt4(vyy143, vyy146, bfa, bfb, bfc)
new_compare11(vyy300, vyy40) → new_compare211(vyy300, vyy40, new_esEs13(vyy300, vyy40))
new_ltEs5(vyy107, vyy108, db) → new_fsEs(new_compare6(vyy107, vyy108, db))
new_compare12(Double(vyy3000, vyy3001), Double(vyy400, vyy401)) → new_compare7(new_sr(vyy3000, vyy400), new_sr(vyy3001, vyy401))
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Char, cef) → new_ltEs4(vyy1070, vyy1080)
new_esEs6(vyy3000, vyy400, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs18(vyy3000, vyy400, ddb, ddc, ddd)
new_esEs31(vyy143, vyy146, app(ty_Maybe, bec)) → new_esEs20(vyy143, vyy146, bec)
new_ltEs21(vyy107, vyy108, app(ty_Ratio, db)) → new_ltEs5(vyy107, vyy108, db)
new_ltEs24(vyy1071, vyy1081, ty_Int) → new_ltEs10(vyy1071, vyy1081)
new_esEs5(vyy3000, vyy400, app(app(ty_Either, dcd), dce)) → new_esEs21(vyy3000, vyy400, dcd, dce)
new_esEs34(vyy30000, vyy4000, app(ty_Ratio, dac)) → new_esEs16(vyy30000, vyy4000, dac)
new_esEs31(vyy143, vyy146, ty_Float) → new_esEs25(vyy143, vyy146)
new_esEs10(vyy3001, vyy401, app(ty_Ratio, cbf)) → new_esEs16(vyy3001, vyy401, cbf)
new_esEs15(vyy30000, vyy4000, app(app(ty_@2, ce), cf)) → new_esEs22(vyy30000, vyy4000, ce, cf)
new_esEs30(vyy144, vyy147, ty_Integer) → new_esEs26(vyy144, vyy147)
new_esEs33(vyy30001, vyy4001, app(app(ty_@2, chh), daa)) → new_esEs22(vyy30001, vyy4001, chh, daa)
new_esEs5(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_lt11(vyy156, vyy158, eg) → new_esEs13(new_compare6(vyy156, vyy158, eg), LT)
new_lt22(vyy1071, vyy1081, ty_Integer) → new_lt18(vyy1071, vyy1081)
new_compare16(vyy186, vyy187, True, ceb, cec) → LT
new_compare9(Char(vyy3000), Char(vyy400)) → new_primCmpInt(vyy3000, vyy400)
new_compare25(vyy114, vyy115, False, baf, bag) → new_compare16(vyy114, vyy115, new_ltEs19(vyy114, vyy115, baf), baf, bag)
new_esEs29(vyy156, vyy158, app(app(app(ty_@3, bb), bc), bd)) → new_esEs18(vyy156, vyy158, bb, bc, bd)
new_lt22(vyy1071, vyy1081, ty_Char) → new_lt12(vyy1071, vyy1081)
new_primCompAux00(vyy92, vyy93, EQ, ty_@0) → new_compare27(vyy92, vyy93)
new_primEqInt(Pos(Zero), Pos(Succ(vyy40000))) → False
new_primEqInt(Pos(Succ(vyy300000)), Pos(Zero)) → False
new_primCmpNat0(Zero, Zero) → EQ
new_compare17(:(vyy3000, vyy3001), [], bae) → GT
new_primCmpNat0(Succ(vyy300000), Zero) → GT
new_esEs10(vyy3001, vyy401, app(ty_Maybe, ccb)) → new_esEs20(vyy3001, vyy401, ccb)
new_primCmpInt(Neg(Zero), Pos(Succ(vyy4000))) → LT
new_ltEs21(vyy107, vyy108, ty_@0) → new_ltEs9(vyy107, vyy108)
new_esEs21(Right(vyy30000), Left(vyy4000), ecg, ebe) → False
new_esEs21(Left(vyy30000), Right(vyy4000), ecg, ebe) → False
new_compare0(vyy300, vyy40, ty_Char) → new_compare9(vyy300, vyy40)
new_lt8(vyy156, vyy158, ty_Int) → new_lt13(vyy156, vyy158)
new_sr0(Integer(vyy4000), Integer(vyy30010)) → Integer(new_primMulInt(vyy4000, vyy30010))
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Double) → new_ltEs6(vyy1070, vyy1080)
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_Ratio, ebd), ebe) → new_esEs16(vyy30000, vyy4000, ebd)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(app(ty_@3, bdb), bdc), bdd)) → new_ltEs17(vyy1070, vyy1080, bdb, bdc, bdd)
new_primEqInt(Neg(Succ(vyy300000)), Pos(vyy4000)) → False
new_primEqInt(Pos(Succ(vyy300000)), Neg(vyy4000)) → False
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Bool, cef) → new_ltEs8(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, ty_@0) → new_compare27(vyy300, vyy40)
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_[], fac)) → new_esEs14(vyy30000, vyy4000, fac)
new_esEs10(vyy3001, vyy401, app(ty_[], ccg)) → new_esEs14(vyy3001, vyy401, ccg)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_@0, ebe) → new_esEs24(vyy30000, vyy4000)
new_ltEs20(vyy145, vyy148, ty_Integer) → new_ltEs18(vyy145, vyy148)
new_compare30(Left(vyy3000), Right(vyy400), dbe, dbf) → LT
new_ltEs23(vyy121, vyy122, ty_@0) → new_ltEs9(vyy121, vyy122)
new_esEs38(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs11(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs30(vyy144, vyy147, ty_Bool) → new_esEs12(vyy144, vyy147)
new_lt21(vyy1070, vyy1080, ty_@0) → new_lt10(vyy1070, vyy1080)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Float) → new_esEs25(vyy30000, vyy4000)
new_ltEs8(True, False) → False
new_esEs9(vyy3002, vyy402, app(app(app(ty_@3, cae), caf), cag)) → new_esEs18(vyy3002, vyy402, cae, caf, cag)
new_ltEs20(vyy145, vyy148, app(app(app(ty_@3, bhe), bhf), bhg)) → new_ltEs17(vyy145, vyy148, bhe, bhf, bhg)
new_esEs34(vyy30000, vyy4000, app(ty_Maybe, dag)) → new_esEs20(vyy30000, vyy4000, dag)
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_Ratio, ehb)) → new_esEs16(vyy30000, vyy4000, ehb)
new_compare110(vyy179, vyy180, True, ffb) → LT
new_compare210(vyy121, vyy122, True, fad, fae) → EQ
new_primPlusNat0(Zero, vyy300100) → Succ(vyy300100)
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(ty_Either, ehg), ehh)) → new_esEs21(vyy30000, vyy4000, ehg, ehh)
new_lt8(vyy156, vyy158, ty_Integer) → new_lt18(vyy156, vyy158)
new_esEs6(vyy3000, vyy400, app(app(ty_@2, ddh), dea)) → new_esEs22(vyy3000, vyy400, ddh, dea)
new_lt21(vyy1070, vyy1080, ty_Char) → new_lt12(vyy1070, vyy1080)
new_ltEs19(vyy114, vyy115, app(ty_[], bbb)) → new_ltEs12(vyy114, vyy115, bbb)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_Maybe, edd)) → new_esEs20(vyy30000, vyy4000, edd)
new_esEs8(vyy3000, vyy400, app(app(app(ty_@3, hd), he), hf)) → new_esEs18(vyy3000, vyy400, hd, he, hf)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(app(ty_@3, ebf), ebg), ebh), ebe) → new_esEs18(vyy30000, vyy4000, ebf, ebg, ebh)
new_esEs8(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Integer) → new_ltEs18(vyy1070, vyy1080)
new_esEs31(vyy143, vyy146, ty_Integer) → new_esEs26(vyy143, vyy146)
new_lt23(vyy1070, vyy1080, ty_Double) → new_lt6(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, ty_Char) → new_esEs17(vyy1070, vyy1080)
new_primCmpInt(Pos(Succ(vyy30000)), Neg(vyy400)) → GT
new_esEs39(vyy1070, vyy1080, app(ty_Ratio, ffc)) → new_esEs16(vyy1070, vyy1080, ffc)
new_ltEs18(vyy107, vyy108) → new_fsEs(new_compare8(vyy107, vyy108))
new_esEs33(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(ty_@2, bch), bda)) → new_ltEs14(vyy1070, vyy1080, bch, bda)
new_esEs9(vyy3002, vyy402, ty_Int) → new_esEs19(vyy3002, vyy402)
new_primMulInt(Pos(vyy4000), Pos(vyy30010)) → Pos(new_primMulNat0(vyy4000, vyy30010))
new_esEs4(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_ltEs7(vyy157, vyy159, app(ty_[], dg)) → new_ltEs12(vyy157, vyy159, dg)
new_compare211(GT, LT, False) → GT
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Bool, ebe) → new_esEs12(vyy30000, vyy4000)
new_compare19(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, False, vyy228, fcb, fcc, fcd) → new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, vyy228, fcb, fcc, fcd)
new_ltEs23(vyy121, vyy122, ty_Int) → new_ltEs10(vyy121, vyy122)
new_compare24(vyy156, vyy157, vyy158, vyy159, False, dc, dd) → new_compare14(vyy156, vyy157, vyy158, vyy159, new_lt8(vyy156, vyy158, dc), new_asAs(new_esEs29(vyy156, vyy158, dc), new_ltEs7(vyy157, vyy159, dd)), dc, dd)
new_lt18(vyy156, vyy158) → new_esEs13(new_compare8(vyy156, vyy158), LT)
new_esEs39(vyy1070, vyy1080, ty_Char) → new_esEs17(vyy1070, vyy1080)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(ty_@2, fdc), fdd), cef) → new_ltEs14(vyy1070, vyy1080, fdc, fdd)
new_compare24(vyy156, vyy157, vyy158, vyy159, True, dc, dd) → EQ
new_esEs11(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_foldFM_LE18(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba) → new_foldFM_LE19(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_compare17(vyy3440, :(vyy40, vyy41), h), h, ba)
new_ltEs24(vyy1071, vyy1081, ty_Ordering) → new_ltEs16(vyy1071, vyy1081)
new_esEs37(vyy30001, vyy4001, app(ty_Maybe, eeh)) → new_esEs20(vyy30001, vyy4001, eeh)
new_ltEs23(vyy121, vyy122, app(ty_[], fah)) → new_ltEs12(vyy121, vyy122, fah)
new_esEs7(vyy3001, vyy401, app(app(app(ty_@3, gb), gc), gd)) → new_esEs18(vyy3001, vyy401, gb, gc, gd)
new_esEs36(vyy1070, vyy1080, app(app(ty_@2, dgc), dgd)) → new_esEs22(vyy1070, vyy1080, dgc, dgd)
new_ltEs22(vyy1072, vyy1082, app(ty_[], ead)) → new_ltEs12(vyy1072, vyy1082, ead)
new_primCompAux00(vyy92, vyy93, EQ, ty_Char) → new_compare9(vyy92, vyy93)
new_esEs29(vyy156, vyy158, ty_Int) → new_esEs19(vyy156, vyy158)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(ty_Either, fda), fdb), cef) → new_ltEs13(vyy1070, vyy1080, fda, fdb)
new_esEs9(vyy3002, vyy402, ty_Double) → new_esEs23(vyy3002, vyy402)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(ty_Either, fec), fed)) → new_ltEs13(vyy1070, vyy1080, fec, fed)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_ltEs24(vyy1071, vyy1081, app(app(app(ty_@3, fhd), fhe), fhf)) → new_ltEs17(vyy1071, vyy1081, fhd, fhe, fhf)
new_esEs19(vyy3000, vyy400) → new_primEqInt(vyy3000, vyy400)
new_compare0(vyy300, vyy40, ty_Ordering) → new_compare11(vyy300, vyy40)
new_lt20(vyy144, vyy147, app(ty_[], bff)) → new_lt15(vyy144, vyy147, bff)
new_compare29(vyy107, vyy108, True, ced) → EQ
new_esEs37(vyy30001, vyy4001, ty_Ordering) → new_esEs13(vyy30001, vyy4001)
new_esEs10(vyy3001, vyy401, ty_Integer) → new_esEs26(vyy3001, vyy401)
new_ltEs7(vyy157, vyy159, ty_Int) → new_ltEs10(vyy157, vyy159)
new_lt22(vyy1071, vyy1081, ty_Float) → new_lt7(vyy1071, vyy1081)
new_compare0(vyy300, vyy40, app(ty_[], bae)) → new_compare17(vyy300, vyy40, bae)
new_esEs29(vyy156, vyy158, ty_Bool) → new_esEs12(vyy156, vyy158)
new_esEs38(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_foldFM_LE110(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE18(new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE3(vyy34, vyy40, vyy41, vyy343, h, ba), h, ba), vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba)
new_esEs11(vyy3000, vyy400, app(app(ty_@2, cdg), cdh)) → new_esEs22(vyy3000, vyy400, cdg, cdh)
new_esEs36(vyy1070, vyy1080, ty_Int) → new_esEs19(vyy1070, vyy1080)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(ty_@2, edg), edh)) → new_esEs22(vyy30000, vyy4000, edg, edh)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Float) → new_ltEs15(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Right(vyy1080), cee, cef) → True
new_primMulNat0(Zero, Succ(vyy300100)) → Zero
new_primMulNat0(Succ(vyy40000), Zero) → Zero
new_esEs13(GT, EQ) → False
new_esEs13(EQ, GT) → False
new_esEs32(vyy30002, vyy4002, app(ty_Ratio, cfg)) → new_esEs16(vyy30002, vyy4002, cfg)
new_primCmpNat2(vyy30000, Zero) → GT
new_esEs35(vyy1071, vyy1081, app(ty_[], dhb)) → new_esEs14(vyy1071, vyy1081, dhb)
new_esEs9(vyy3002, vyy402, ty_Bool) → new_esEs12(vyy3002, vyy402)
new_esEs29(vyy156, vyy158, ty_Char) → new_esEs17(vyy156, vyy158)
new_ltEs9(vyy107, vyy108) → new_fsEs(new_compare27(vyy107, vyy108))
new_compare0(vyy300, vyy40, app(ty_Maybe, egh)) → new_compare31(vyy300, vyy40, egh)
new_ltEs20(vyy145, vyy148, app(app(ty_@2, bhc), bhd)) → new_ltEs14(vyy145, vyy148, bhc, bhd)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_@0) → new_ltEs9(vyy1070, vyy1080)
new_esEs15(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs39(vyy1070, vyy1080, ty_@0) → new_esEs24(vyy1070, vyy1080)
new_foldFM_LE3(vyy34, vyy40, vyy41, EmptyFM, h, ba) → vyy34
new_primCompAux00(vyy92, vyy93, LT, dec) → LT
new_esEs31(vyy143, vyy146, ty_Int) → new_esEs19(vyy143, vyy146)
new_primCompAux00(vyy92, vyy93, EQ, ty_Int) → new_compare7(vyy92, vyy93)
new_lt20(vyy144, vyy147, app(ty_Maybe, bfe)) → new_lt14(vyy144, vyy147, bfe)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Double, cef) → new_ltEs6(vyy1070, vyy1080)
new_ltEs7(vyy157, vyy159, ty_Char) → new_ltEs4(vyy157, vyy159)
new_esEs5(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_ltEs24(vyy1071, vyy1081, app(app(ty_Either, fgh), fha)) → new_ltEs13(vyy1071, vyy1081, fgh, fha)
new_esEs33(vyy30001, vyy4001, ty_Double) → new_esEs23(vyy30001, vyy4001)
new_lt23(vyy1070, vyy1080, ty_Char) → new_lt12(vyy1070, vyy1080)
new_esEs8(vyy3000, vyy400, app(ty_Ratio, hc)) → new_esEs16(vyy3000, vyy400, hc)
new_esEs12(False, True) → False
new_esEs12(True, False) → False
new_primCompAux00(vyy92, vyy93, EQ, ty_Bool) → new_compare28(vyy92, vyy93)
new_esEs10(vyy3001, vyy401, ty_Int) → new_esEs19(vyy3001, vyy401)
new_ltEs7(vyy157, vyy159, app(app(ty_Either, dh), ea)) → new_ltEs13(vyy157, vyy159, dh, ea)
new_esEs7(vyy3001, vyy401, app(ty_[], hb)) → new_esEs14(vyy3001, vyy401, hb)
new_esEs29(vyy156, vyy158, ty_Double) → new_esEs23(vyy156, vyy158)
new_esEs35(vyy1071, vyy1081, ty_Ordering) → new_esEs13(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, ty_Int) → new_esEs19(vyy1071, vyy1081)
new_foldFM_LE110(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, EmptyFM, False, h, ba) → new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE3(vyy34, vyy40, vyy41, vyy343, h, ba), h, ba)
new_esEs34(vyy30000, vyy4000, app(ty_[], dbd)) → new_esEs14(vyy30000, vyy4000, dbd)
new_ltEs21(vyy107, vyy108, ty_Char) → new_ltEs4(vyy107, vyy108)
new_lt23(vyy1070, vyy1080, app(app(ty_@2, ffh), fga)) → new_lt17(vyy1070, vyy1080, ffh, fga)
new_primCompAux1(vyy300, vyy40, vyy301, vyy41, h) → new_primCompAux00(vyy301, vyy41, new_compare0(vyy300, vyy40, h), app(ty_[], h))
new_esEs6(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_ltEs22(vyy1072, vyy1082, ty_Double) → new_ltEs6(vyy1072, vyy1082)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_[], eea)) → new_esEs14(vyy30000, vyy4000, eea)
new_esEs9(vyy3002, vyy402, app(ty_Maybe, cah)) → new_esEs20(vyy3002, vyy402, cah)
new_compare16(vyy186, vyy187, False, ceb, cec) → GT
new_lt22(vyy1071, vyy1081, app(app(app(ty_@3, dhg), dhh), eaa)) → new_lt4(vyy1071, vyy1081, dhg, dhh, eaa)
new_esEs32(vyy30002, vyy4002, ty_Float) → new_esEs25(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, ty_Double) → new_esEs23(vyy30002, vyy4002)
new_esEs35(vyy1071, vyy1081, app(ty_Ratio, dgh)) → new_esEs16(vyy1071, vyy1081, dgh)
new_ltEs19(vyy114, vyy115, app(app(app(ty_@3, bbg), bbh), bca)) → new_ltEs17(vyy114, vyy115, bbg, bbh, bca)
new_primCompAux00(vyy92, vyy93, EQ, app(app(ty_Either, deg), deh)) → new_compare30(vyy92, vyy93, deg, deh)
new_compare210(vyy121, vyy122, False, fad, fae) → new_compare111(vyy121, vyy122, new_ltEs23(vyy121, vyy122, fae), fad, fae)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs30(vyy144, vyy147, ty_Char) → new_esEs17(vyy144, vyy147)
new_esEs6(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, app(ty_Maybe, dcc)) → new_esEs20(vyy3000, vyy400, dcc)
new_esEs35(vyy1071, vyy1081, ty_Integer) → new_esEs26(vyy1071, vyy1081)
new_esEs37(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_compare31(Nothing, Just(vyy400), egh) → LT
new_ltEs21(vyy107, vyy108, ty_Integer) → new_ltEs18(vyy107, vyy108)
new_compare111(vyy193, vyy194, True, fbh, fca) → LT
new_ltEs23(vyy121, vyy122, ty_Integer) → new_ltEs18(vyy121, vyy122)
new_esEs5(vyy3000, vyy400, app(app(app(ty_@3, dbh), dca), dcb)) → new_esEs18(vyy3000, vyy400, dbh, dca, dcb)
new_esEs9(vyy3002, vyy402, ty_Ordering) → new_esEs13(vyy3002, vyy402)
new_esEs32(vyy30002, vyy4002, app(ty_Maybe, cgc)) → new_esEs20(vyy30002, vyy4002, cgc)
new_compare27(@0, @0) → EQ
new_primMulNat0(Succ(vyy40000), Succ(vyy300100)) → new_primPlusNat0(new_primMulNat0(vyy40000, Succ(vyy300100)), vyy300100)
new_compare31(Just(vyy3000), Just(vyy400), egh) → new_compare29(vyy3000, vyy400, new_esEs4(vyy3000, vyy400, egh), egh)
new_esEs38(vyy30000, vyy4000, app(ty_Ratio, eff)) → new_esEs16(vyy30000, vyy4000, eff)
new_esEs16(:%(vyy30000, vyy30001), :%(vyy4000, vyy4001), da) → new_asAs(new_esEs28(vyy30000, vyy4000, da), new_esEs27(vyy30001, vyy4001, da))
new_ltEs21(vyy107, vyy108, ty_Float) → new_ltEs15(vyy107, vyy108)
new_ltEs19(vyy114, vyy115, ty_@0) → new_ltEs9(vyy114, vyy115)
new_esEs35(vyy1071, vyy1081, ty_Float) → new_esEs25(vyy1071, vyy1081)
new_esEs33(vyy30001, vyy4001, ty_Bool) → new_esEs12(vyy30001, vyy4001)
new_lt22(vyy1071, vyy1081, ty_Bool) → new_lt9(vyy1071, vyy1081)
new_esEs31(vyy143, vyy146, ty_Bool) → new_esEs12(vyy143, vyy146)
new_ltEs20(vyy145, vyy148, ty_Double) → new_ltEs6(vyy145, vyy148)
new_ltEs12(vyy107, vyy108, bhh) → new_fsEs(new_compare17(vyy107, vyy108, bhh))
new_ltEs7(vyy157, vyy159, ty_Ordering) → new_ltEs16(vyy157, vyy159)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_lt21(vyy1070, vyy1080, ty_Integer) → new_lt18(vyy1070, vyy1080)
new_esEs6(vyy3000, vyy400, app(ty_Maybe, dde)) → new_esEs20(vyy3000, vyy400, dde)
new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, fcb, fcc, fcd) → LT
new_primCompAux00(vyy92, vyy93, EQ, ty_Integer) → new_compare8(vyy92, vyy93)
new_lt19(vyy143, vyy146, app(app(ty_@2, beg), beh)) → new_lt17(vyy143, vyy146, beg, beh)
new_ltEs24(vyy1071, vyy1081, ty_Char) → new_ltEs4(vyy1071, vyy1081)
new_esEs4(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_compare17([], :(vyy400, vyy401), bae) → LT
new_lt16(vyy156, vyy158, fb, fc) → new_esEs13(new_compare30(vyy156, vyy158, fb, fc), LT)
new_ltEs15(vyy107, vyy108) → new_fsEs(new_compare13(vyy107, vyy108))
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Int) → new_ltEs10(vyy1070, vyy1080)
new_esEs4(vyy3000, vyy400, app(ty_Ratio, da)) → new_esEs16(vyy3000, vyy400, da)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_lt8(vyy156, vyy158, app(app(ty_Either, fb), fc)) → new_lt16(vyy156, vyy158, fb, fc)
new_esEs20(Just(vyy30000), Nothing, eha) → False
new_esEs20(Nothing, Just(vyy4000), eha) → False
new_esEs39(vyy1070, vyy1080, app(ty_[], ffe)) → new_esEs14(vyy1070, vyy1080, ffe)
new_ltEs21(vyy107, vyy108, ty_Double) → new_ltEs6(vyy107, vyy108)
new_primCmpInt(Neg(Succ(vyy30000)), Pos(vyy400)) → LT

The set Q consists of the following terms:

new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs37(x0, x1, ty_@0)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_@0)
new_esEs21(Right(x0), Right(x1), x2, ty_@0)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_lt20(x0, x1, ty_Ordering)
new_ltEs14(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1)
new_lt20(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Float)
new_compare110(x0, x1, True, x2)
new_esEs15(x0, x1, ty_Ordering)
new_compare112(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs32(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs36(x0, x1, ty_Float)
new_esEs37(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs37(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Char)
new_ltEs23(x0, x1, app(ty_[], x2))
new_esEs36(x0, x1, ty_@0)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_esEs37(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Integer)
new_ltEs11(Just(x0), Just(x1), ty_Char)
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(Right(x0), Right(x1), x2, ty_Double)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare14(x0, x1, x2, x3, False, x4, x5, x6)
new_primEqNat0(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Char)
new_lt22(x0, x1, ty_@0)
new_esEs37(x0, x1, app(ty_Ratio, x2))
new_foldFM_LE3(x0, x1, x2, EmptyFM, x3, x4)
new_esEs20(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Int)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Char)
new_compare6(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs20(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Int)
new_lt5(x0, x1)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_ltEs21(x0, x1, ty_Float)
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Right(x1), x2, x3)
new_esEs21(Right(x0), Left(x1), x2, x3)
new_esEs34(x0, x1, ty_Double)
new_esEs17(Char(x0), Char(x1))
new_compare30(Right(x0), Right(x1), x2, x3)
new_primMulNat0(Succ(x0), Zero)
new_lt22(x0, x1, ty_Ordering)
new_esEs38(x0, x1, ty_Int)
new_esEs37(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, app(ty_[], x2))
new_ltEs23(x0, x1, ty_Integer)
new_compare14(x0, x1, x2, x3, True, x4, x5, x6)
new_compare0(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Char)
new_ltEs11(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux00(x0, x1, EQ, ty_Char)
new_esEs15(x0, x1, ty_Float)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs34(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, ty_Double)
new_esEs34(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Float)
new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs35(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, x1, EQ, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_foldFM_LE19(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_primCompAux00(x0, x1, EQ, ty_Int)
new_esEs7(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_primCompAux00(x0, x1, EQ, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Char)
new_primMulNat0(Zero, Zero)
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Float)
new_lt6(x0, x1)
new_lt23(x0, x1, ty_@0)
new_esEs21(Left(x0), Left(x1), ty_@0, x2)
new_primCmpNat1(Succ(x0), x1)
new_lt14(x0, x1, x2)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(x0, x1, app(ty_[], x2))
new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs11(x0, x1, ty_Double)
new_esEs5(x0, x1, ty_Int)
new_ltEs11(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Bool)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs21(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat2(x0, Zero)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt23(x0, x1, ty_Integer)
new_compare111(x0, x1, True, x2, x3)
new_esEs38(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs36(x0, x1, ty_Bool)
new_esEs20(Just(x0), Just(x1), ty_Bool)
new_esEs30(x0, x1, ty_Char)
new_esEs21(Left(x0), Left(x1), ty_Bool, x2)
new_esEs10(x0, x1, ty_Float)
new_esEs24(@0, @0)
new_lt23(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Int)
new_lt21(x0, x1, ty_Integer)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, ty_Ordering)
new_primPlusNat1(Succ(x0), Zero)
new_compare211(LT, LT, False)
new_esEs39(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_esEs35(x0, x1, ty_Bool)
new_compare0(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_compare18(x0, x1, x2, x3, False, x4, x5)
new_esEs11(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1, ty_Int)
new_esEs26(Integer(x0), Integer(x1))
new_compare0(x0, x1, ty_Float)
new_ltEs16(EQ, EQ)
new_ltEs20(x0, x1, ty_Char)
new_esEs35(x0, x1, ty_Char)
new_lt8(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, x1, EQ, ty_Double)
new_ltEs23(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs39(x0, x1, ty_Char)
new_ltEs16(LT, LT)
new_primCompAux00(x0, x1, EQ, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Left(x1), ty_Integer, x2)
new_esEs21(Right(x0), Right(x1), x2, ty_Integer)
new_compare17([], :(x0, x1), x2)
new_ltEs20(x0, x1, ty_@0)
new_ltEs11(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, ty_Ordering)
new_compare0(x0, x1, ty_Char)
new_esEs20(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primEqNat0(Succ(x0), Succ(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare211(LT, EQ, False)
new_compare211(EQ, LT, False)
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Zero, Succ(x0))
new_esEs20(Just(x0), Nothing, x1)
new_compare211(GT, GT, False)
new_fmToList_LE0(x0, x1, x2, x3, x4)
new_lt8(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_compare29(x0, x1, True, x2)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, ty_Bool)
new_fsEs(x0)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs4(x0, x1, ty_@0)
new_lt8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt23(x0, x1, ty_Double)
new_esEs33(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs15(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Ordering)
new_compare16(x0, x1, False, x2, x3)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(Nothing, Nothing, x0)
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs16(GT, GT)
new_esEs6(x0, x1, ty_Int)
new_ltEs7(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs34(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_@0)
new_primPlusNat0(Zero, x0)
new_esEs37(x0, x1, ty_Int)
new_esEs35(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Bool)
new_esEs15(x0, x1, ty_Integer)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt22(x0, x1, app(ty_Ratio, x2))
new_esEs38(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Integer)
new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs24(x0, x1, ty_Float)
new_compare211(EQ, EQ, False)
new_esEs9(x0, x1, app(ty_[], x2))
new_ltEs11(Just(x0), Just(x1), ty_Integer)
new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_esEs21(Left(x0), Left(x1), ty_Double, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs4(x0, x1, ty_Integer)
new_esEs37(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Char)
new_primCompAux00(x0, x1, LT, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, ty_Char)
new_esEs7(x0, x1, ty_Ordering)
new_esEs13(LT, LT)
new_ltEs19(x0, x1, ty_Bool)
new_lt15(x0, x1, x2)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_[], x2))
new_esEs12(True, False)
new_esEs12(False, True)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs21(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs15(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, x2, x3, False, x4, x5)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs5(x0, x1, x2)
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs15(x0, x1, ty_Bool)
new_compare19(x0, x1, x2, x3, x4, x5, False, x6, x7, x8, x9)
new_esEs6(x0, x1, app(ty_[], x2))
new_esEs20(Just(x0), Just(x1), ty_Int)
new_esEs21(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_lt8(x0, x1, ty_Ordering)
new_esEs15(x0, x1, ty_Char)
new_ltEs10(x0, x1)
new_compare6(:%(x0, x1), :%(x2, x3), ty_Integer)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, ty_Float)
new_not(True)
new_esEs37(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_Integer)
new_ltEs16(GT, EQ)
new_ltEs16(EQ, GT)
new_esEs7(x0, x1, ty_Bool)
new_esEs38(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs31(x0, x1, ty_Int)
new_not(False)
new_lt21(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Double)
new_ltEs16(EQ, LT)
new_ltEs16(LT, EQ)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs11(Just(x0), Just(x1), ty_Bool)
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_lt9(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_compare211(x0, x1, True)
new_ltEs6(x0, x1)
new_esEs6(x0, x1, ty_Ordering)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Bool)
new_ltEs7(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Integer)
new_lt8(x0, x1, ty_Char)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_ltEs23(x0, x1, ty_Bool)
new_esEs33(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Char)
new_ltEs23(x0, x1, ty_Double)
new_compare17(:(x0, x1), :(x2, x3), x4)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs32(x0, x1, ty_@0)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs38(x0, x1, app(app(ty_Either, x2), x3))
new_compare0(x0, x1, app(app(ty_@2, x2), x3))
new_lt8(x0, x1, ty_Float)
new_compare27(@0, @0)
new_esEs6(x0, x1, ty_Char)
new_ltEs18(x0, x1)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs39(x0, x1, ty_@0)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_sr0(Integer(x0), Integer(x1))
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, app(app(ty_@2, x2), x3))
new_esEs20(Just(x0), Just(x1), ty_Float)
new_lt20(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs11(Just(x0), Nothing, x1)
new_compare19(x0, x1, x2, x3, x4, x5, True, x6, x7, x8, x9)
new_esEs29(x0, x1, ty_Ordering)
new_compare0(x0, x1, app(ty_[], x2))
new_ltEs7(x0, x1, app(ty_Ratio, x2))
new_lt13(x0, x1)
new_primCompAux00(x0, x1, GT, x2)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_Double)
new_esEs37(x0, x1, ty_Double)
new_pePe(False, x0)
new_esEs36(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs36(x0, x1, ty_Char)
new_ltEs7(x0, x1, ty_Int)
new_esEs38(x0, x1, ty_Float)
new_lt23(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_compare31(Just(x0), Just(x1), x2)
new_esEs32(x0, x1, ty_Float)
new_esEs15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Char)
new_esEs38(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Float)
new_compare0(x0, x1, ty_Ordering)
new_esEs15(x0, x1, ty_Int)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs38(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_esEs22(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare0(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs19(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs21(Left(x0), Left(x1), ty_Float, x2)
new_lt8(x0, x1, app(ty_Maybe, x2))
new_compare13(Float(x0, x1), Float(x2, x3))
new_ltEs24(x0, x1, ty_@0)
new_esEs7(x0, x1, ty_Int)
new_esEs12(False, False)
new_lt17(x0, x1, x2, x3)
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt10(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs14([], :(x0, x1), x2)
new_lt8(x0, x1, ty_Integer)
new_esEs13(GT, GT)
new_ltEs7(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_[], x2))
new_compare7(x0, x1)
new_esEs39(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(x0, x1, app(ty_[], x2))
new_esEs37(x0, x1, ty_Char)
new_lt12(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs7(x0, x1, ty_Float)
new_esEs33(x0, x1, ty_Bool)
new_lt19(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_esEs20(Just(x0), Just(x1), ty_Integer)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare110(x0, x1, False, x2)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13)
new_esEs9(x0, x1, ty_@0)
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Bool)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs7(x0, x1, ty_Integer)
new_ltEs8(True, True)
new_ltEs23(x0, x1, ty_@0)
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(Left(x0), Left(x1), ty_Int, x2)
new_esEs31(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_compare26(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs39(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs20(Just(x0), Just(x1), ty_Double)
new_ltEs23(x0, x1, ty_Char)
new_ltEs23(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare9(Char(x0), Char(x1))
new_esEs7(x0, x1, ty_Double)
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, ty_Double)
new_esEs20(Just(x0), Just(x1), ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs8(x0, x1, ty_@0)
new_primCompAux1(x0, x1, x2, x3, x4)
new_esEs31(x0, x1, ty_Bool)
new_esEs15(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_asAs(False, x0)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_ltEs7(x0, x1, ty_Ordering)
new_esEs8(x0, x1, ty_Int)
new_lt8(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs18(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs8(x0, x1, ty_Ordering)
new_compare26(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs11(Nothing, Just(x0), x1)
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_@0)
new_compare28(True, True)
new_ltEs4(x0, x1)
new_ltEs11(Just(x0), Just(x1), ty_Int)
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt21(x0, x1, ty_Float)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, ty_Integer)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Ordering)
new_lt11(x0, x1, x2)
new_compare17(:(x0, x1), [], x2)
new_esEs38(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_@0)
new_primCompAux00(x0, x1, EQ, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, ty_Int)
new_lt16(x0, x1, x2, x3)
new_esEs21(Left(x0), Left(x1), ty_Char, x2)
new_ltEs20(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Double)
new_compare211(GT, EQ, False)
new_compare211(EQ, GT, False)
new_primCmpNat2(x0, Succ(x1))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_@0)
new_esEs23(Double(x0, x1), Double(x2, x3))
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Double)
new_esEs13(EQ, EQ)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs33(x0, x1, ty_Char)
new_primPlusNat0(Succ(x0), x1)
new_compare211(LT, GT, False)
new_compare211(GT, LT, False)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs7(x0, x1, ty_Char)
new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, ty_Char)
new_ltEs11(Just(x0), Just(x1), ty_Double)
new_esEs10(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Int)
new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(:(x0, x1), [], x2)
new_esEs25(Float(x0, x1), Float(x2, x3))
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, app(ty_[], x2))
new_esEs37(x0, x1, ty_Integer)
new_lt23(x0, x1, ty_Bool)
new_lt18(x0, x1)
new_esEs39(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_Double)
new_esEs20(Nothing, Just(x0), x1)
new_esEs29(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_esEs10(x0, x1, ty_Double)
new_primMulNat0(Zero, Succ(x0))
new_compare0(x0, x1, ty_Int)
new_esEs37(x0, x1, app(ty_Maybe, x2))
new_primCompAux00(x0, x1, EQ, ty_Bool)
new_esEs33(x0, x1, app(ty_[], x2))
new_compare0(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_pePe(True, x0)
new_compare28(False, False)
new_lt20(x0, x1, ty_@0)
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_compare25(x0, x1, True, x2, x3)
new_lt4(x0, x1, x2, x3, x4)
new_esEs10(x0, x1, ty_Ordering)
new_compare17([], [], x0)
new_esEs39(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Bool)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(LT, GT)
new_ltEs16(GT, LT)
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_ltEs11(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Bool)
new_esEs21(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs12(True, True)
new_ltEs8(False, False)
new_esEs38(x0, x1, ty_Double)
new_compare31(Nothing, Nothing, x0)
new_compare18(x0, x1, x2, x3, True, x4, x5)
new_compare0(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_compare112(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs34(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs8(False, True)
new_ltEs8(True, False)
new_compare28(True, False)
new_compare28(False, True)
new_lt21(x0, x1, ty_Int)
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs15(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Integer)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare29(x0, x1, False, x2)
new_lt20(x0, x1, ty_Float)
new_compare31(Just(x0), Nothing, x1)
new_esEs4(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_ltEs11(Just(x0), Just(x1), app(ty_[], x2))
new_esEs21(Right(x0), Right(x1), x2, ty_Char)
new_sr(x0, x1)
new_esEs20(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs21(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs10(x0, x1, ty_Bool)
new_esEs15(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False, x2, x3)
new_esEs7(x0, x1, ty_@0)
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux00(x0, x1, EQ, app(ty_[], x2))
new_esEs4(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs38(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Int)
new_lt7(x0, x1)
new_esEs20(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare11(x0, x1)
new_compare0(x0, x1, ty_Bool)
new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9)
new_esEs21(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs7(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, ty_Double)
new_compare16(x0, x1, True, x2, x3)
new_esEs34(x0, x1, ty_Char)
new_esEs14([], [], x0)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs22(x0, x1, ty_Ordering)
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(Right(x0), Right(x1), x2, ty_Int)
new_esEs20(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs37(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs11(Just(x0), Just(x1), ty_@0)
new_primCmpNat1(Zero, x0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs34(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, ty_Int)
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(Right(x0), Right(x1), x2, ty_Float)
new_compare0(x0, x1, ty_@0)
new_primCmpNat0(Zero, Zero)
new_foldFM_LE18(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_esEs8(x0, x1, ty_Bool)
new_foldFM_LE3(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_primCompAux00(x0, x1, EQ, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_Char)
new_ltEs12(x0, x1, x2)
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Int)
new_esEs33(x0, x1, ty_Int)
new_lt8(x0, x1, ty_Double)
new_ltEs22(x0, x1, ty_Float)
new_esEs10(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1, ty_Double)
new_compare8(Integer(x0), Integer(x1))
new_esEs38(x0, x1, app(ty_Maybe, x2))
new_esEs6(x0, x1, ty_Float)
new_ltEs22(x0, x1, ty_Integer)
new_compare12(Double(x0, x1), Double(x2, x3))
new_lt8(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Char)
new_primCmpNat0(Succ(x0), Succ(x1))
new_compare30(Left(x0), Left(x1), x2, x3)
new_ltEs15(x0, x1)
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs4(x0, x1, ty_Int)
new_asAs(True, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs39(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(x0, x1, ty_Char)
new_esEs5(x0, x1, ty_Float)
new_esEs35(x0, x1, ty_Float)
new_ltEs24(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, ty_Float)
new_lt22(x0, x1, ty_Integer)
new_esEs31(x0, x1, app(ty_[], x2))
new_primCompAux00(x0, x1, EQ, ty_@0)
new_compare31(Nothing, Just(x0), x1)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs38(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_lt23(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, app(ty_[], x2))
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_esEs7(x0, x1, ty_Char)
new_ltEs11(Nothing, Nothing, x0)
new_esEs29(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Double)
new_ltEs11(Just(x0), Just(x1), ty_Float)
new_compare25(x0, x1, False, x2, x3)
new_lt21(x0, x1, ty_Double)
new_lt22(x0, x1, ty_Char)
new_compare10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, ty_Integer)
new_esEs21(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs24(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_compare24(x0, x1, x2, x3, True, x4, x5)
new_ltEs22(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_lt8(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Double)
new_ltEs11(Just(x0), Just(x1), ty_Ordering)
new_lt21(x0, x1, ty_Bool)
new_compare0(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, app(ty_Maybe, x2))
new_lt8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_Char)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs23(x0, x1, ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs9(x0, x1)
new_esEs20(Just(x0), Just(x1), ty_Char)
new_esEs5(x0, x1, ty_Bool)
new_compare30(Right(x0), Left(x1), x2, x3)
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_compare30(Left(x0), Right(x1), x2, x3)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Integer)
new_lt19(x0, x1, ty_Float)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs9(x0, x1, ty_Double)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_lt22(x0, x1, ty_Bool)
new_esEs38(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Int)
new_ltEs11(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt21(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Integer)
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_Double)
new_ltEs24(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Double)
new_ltEs22(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs39(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_@0)
new_esEs35(x0, x1, ty_Integer)

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
                                    ↳ UsableRulesProof
                                      ↳ QDP
                                        ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

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

new_foldFM_LE15(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba) → new_foldFM_LE16(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_compare17(vyy3440, :(vyy40, vyy41), h), h, ba)
new_foldFM_LE17(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE2(vyy34, vyy40, vyy41, vyy343, h, ba)
new_foldFM_LE2(vyy34, vyy40, vyy41, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), h, ba) → new_foldFM_LE15(vyy34, vyy40, vyy41, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_foldFM_LE16(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, vyy101, h, ba) → new_foldFM_LE17(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_esEs13(vyy101, GT), h, ba)
new_foldFM_LE17(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE15(new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE3(vyy34, vyy40, vyy41, vyy343, h, ba), h, ba), vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba)
new_foldFM_LE17(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), vyy344, True, h, ba) → new_foldFM_LE15(vyy34, vyy40, vyy41, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_foldFM_LE17(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, EmptyFM, False, h, ba) → new_foldFM_LE2(vyy34, vyy40, vyy41, vyy343, h, ba)

The TRS R consists of the following rules:

new_compare17(:(vyy3000, vyy3001), :(vyy400, vyy401), bae) → new_primCompAux1(vyy3000, vyy400, vyy3001, vyy401, bae)
new_primCompAux1(vyy300, vyy40, vyy301, vyy41, h) → new_primCompAux00(vyy301, vyy41, new_compare0(vyy300, vyy40, h), app(ty_[], h))
new_primCompAux00(vyy92, vyy93, EQ, app(ty_[], def)) → new_compare17(vyy92, vyy93, def)
new_compare17([], :(vyy400, vyy401), bae) → LT
new_compare0(vyy300, vyy40, ty_Int) → new_compare7(vyy300, vyy40)
new_compare0(vyy300, vyy40, ty_Double) → new_compare12(vyy300, vyy40)
new_compare0(vyy300, vyy40, app(app(app(ty_@3, caa), cab), cac)) → new_compare10(vyy300, vyy40, caa, cab, cac)
new_compare0(vyy300, vyy40, app(ty_Ratio, fce)) → new_compare6(vyy300, vyy40, fce)
new_compare0(vyy300, vyy40, ty_Bool) → new_compare28(vyy300, vyy40)
new_compare0(vyy300, vyy40, ty_Integer) → new_compare8(vyy300, vyy40)
new_compare0(vyy300, vyy40, app(app(ty_Either, dbe), dbf)) → new_compare30(vyy300, vyy40, dbe, dbf)
new_compare0(vyy300, vyy40, ty_Float) → new_compare13(vyy300, vyy40)
new_compare0(vyy300, vyy40, app(app(ty_@2, fg), fh)) → new_compare15(vyy300, vyy40, fg, fh)
new_compare0(vyy300, vyy40, ty_Char) → new_compare9(vyy300, vyy40)
new_compare0(vyy300, vyy40, ty_@0) → new_compare27(vyy300, vyy40)
new_compare0(vyy300, vyy40, ty_Ordering) → new_compare11(vyy300, vyy40)
new_compare0(vyy300, vyy40, app(ty_[], bae)) → new_compare17(vyy300, vyy40, bae)
new_compare0(vyy300, vyy40, app(ty_Maybe, egh)) → new_compare31(vyy300, vyy40, egh)
new_primCompAux00(vyy92, vyy93, GT, dec) → GT
new_primCompAux00(vyy92, vyy93, LT, dec) → LT
new_compare17([], [], bae) → EQ
new_compare17(:(vyy3000, vyy3001), [], bae) → GT
new_compare31(Just(vyy3000), Nothing, egh) → GT
new_compare31(Nothing, Nothing, egh) → EQ
new_compare31(Nothing, Just(vyy400), egh) → LT
new_compare31(Just(vyy3000), Just(vyy400), egh) → new_compare29(vyy3000, vyy400, new_esEs4(vyy3000, vyy400, egh), egh)
new_esEs4(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, app(app(app(ty_@3, cfd), cfe), cff)) → new_esEs18(vyy3000, vyy400, cfd, cfe, cff)
new_esEs4(vyy3000, vyy400, app(ty_Maybe, eha)) → new_esEs20(vyy3000, vyy400, eha)
new_esEs4(vyy3000, vyy400, app(app(ty_Either, ecg), ebe)) → new_esEs21(vyy3000, vyy400, ecg, ebe)
new_esEs4(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, app(app(ty_@2, eeb), eec)) → new_esEs22(vyy3000, vyy400, eeb, eec)
new_esEs4(vyy3000, vyy400, app(ty_[], be)) → new_esEs14(vyy3000, vyy400, be)
new_esEs4(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, app(ty_Ratio, da)) → new_esEs16(vyy3000, vyy400, da)
new_compare29(vyy107, vyy108, False, ced) → new_compare110(vyy107, vyy108, new_ltEs21(vyy107, vyy108, ced), ced)
new_compare29(vyy107, vyy108, True, ced) → EQ
new_ltEs21(vyy107, vyy108, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs17(vyy107, vyy108, cfa, cfb, cfc)
new_ltEs21(vyy107, vyy108, app(ty_Maybe, bcb)) → new_ltEs11(vyy107, vyy108, bcb)
new_ltEs21(vyy107, vyy108, ty_Int) → new_ltEs10(vyy107, vyy108)
new_ltEs21(vyy107, vyy108, ty_Ordering) → new_ltEs16(vyy107, vyy108)
new_ltEs21(vyy107, vyy108, ty_Bool) → new_ltEs8(vyy107, vyy108)
new_ltEs21(vyy107, vyy108, app(ty_[], bhh)) → new_ltEs12(vyy107, vyy108, bhh)
new_ltEs21(vyy107, vyy108, app(app(ty_@2, ceg), ceh)) → new_ltEs14(vyy107, vyy108, ceg, ceh)
new_ltEs21(vyy107, vyy108, app(app(ty_Either, cee), cef)) → new_ltEs13(vyy107, vyy108, cee, cef)
new_ltEs21(vyy107, vyy108, app(ty_Ratio, db)) → new_ltEs5(vyy107, vyy108, db)
new_ltEs21(vyy107, vyy108, ty_@0) → new_ltEs9(vyy107, vyy108)
new_ltEs21(vyy107, vyy108, ty_Char) → new_ltEs4(vyy107, vyy108)
new_ltEs21(vyy107, vyy108, ty_Integer) → new_ltEs18(vyy107, vyy108)
new_ltEs21(vyy107, vyy108, ty_Float) → new_ltEs15(vyy107, vyy108)
new_ltEs21(vyy107, vyy108, ty_Double) → new_ltEs6(vyy107, vyy108)
new_compare110(vyy179, vyy180, False, ffb) → GT
new_compare110(vyy179, vyy180, True, ffb) → LT
new_ltEs6(vyy107, vyy108) → new_fsEs(new_compare12(vyy107, vyy108))
new_compare12(Double(vyy3000, vyy3001), Double(vyy400, vyy401)) → new_compare7(new_sr(vyy3000, vyy400), new_sr(vyy3001, vyy401))
new_fsEs(vyy230) → new_not(new_esEs13(vyy230, GT))
new_esEs13(LT, GT) → False
new_esEs13(GT, GT) → True
new_esEs13(EQ, GT) → False
new_not(False) → True
new_not(True) → False
new_sr(vyy400, vyy3001) → new_primMulInt(vyy400, vyy3001)
new_compare7(vyy300, vyy40) → new_primCmpInt(vyy300, vyy40)
new_primCmpInt(Neg(Succ(vyy30000)), Neg(vyy400)) → new_primCmpNat1(vyy400, vyy30000)
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Neg(Succ(vyy4000))) → new_primCmpNat2(vyy4000, Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy4000))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Succ(vyy30000)), Pos(vyy400)) → new_primCmpNat2(vyy30000, vyy400)
new_primCmpInt(Pos(Zero), Pos(Succ(vyy4000))) → new_primCmpNat1(Zero, vyy4000)
new_primCmpInt(Neg(Zero), Pos(Succ(vyy4000))) → LT
new_primCmpInt(Pos(Succ(vyy30000)), Neg(vyy400)) → GT
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy30000)), Pos(vyy400)) → LT
new_primCmpNat1(Zero, vyy30000) → LT
new_primCmpNat2(vyy30000, Succ(vyy4000)) → new_primCmpNat0(vyy30000, vyy4000)
new_primCmpNat2(vyy30000, Zero) → GT
new_primCmpNat0(Zero, Succ(vyy40000)) → LT
new_primCmpNat0(Succ(vyy300000), Succ(vyy40000)) → new_primCmpNat0(vyy300000, vyy40000)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(vyy300000), Zero) → GT
new_primCmpNat1(Succ(vyy4000), vyy30000) → new_primCmpNat0(vyy4000, vyy30000)
new_primMulInt(Neg(vyy4000), Neg(vyy30010)) → Pos(new_primMulNat0(vyy4000, vyy30010))
new_primMulInt(Neg(vyy4000), Pos(vyy30010)) → Neg(new_primMulNat0(vyy4000, vyy30010))
new_primMulInt(Pos(vyy4000), Neg(vyy30010)) → Neg(new_primMulNat0(vyy4000, vyy30010))
new_primMulInt(Pos(vyy4000), Pos(vyy30010)) → Pos(new_primMulNat0(vyy4000, vyy30010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Zero, Succ(vyy300100)) → Zero
new_primMulNat0(Succ(vyy40000), Zero) → Zero
new_primMulNat0(Succ(vyy40000), Succ(vyy300100)) → new_primPlusNat0(new_primMulNat0(vyy40000, Succ(vyy300100)), vyy300100)
new_primPlusNat0(Succ(vyy2360), vyy300100) → Succ(Succ(new_primPlusNat1(vyy2360, vyy300100)))
new_primPlusNat0(Zero, vyy300100) → Succ(vyy300100)
new_primPlusNat1(Succ(vyy23600), Zero) → Succ(vyy23600)
new_primPlusNat1(Zero, Succ(vyy3001000)) → Succ(vyy3001000)
new_primPlusNat1(Succ(vyy23600), Succ(vyy3001000)) → Succ(Succ(new_primPlusNat1(vyy23600, vyy3001000)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs15(vyy107, vyy108) → new_fsEs(new_compare13(vyy107, vyy108))
new_compare13(Float(vyy3000, vyy3001), Float(vyy400, vyy401)) → new_compare7(new_sr(vyy3000, vyy400), new_sr(vyy3001, vyy401))
new_ltEs18(vyy107, vyy108) → new_fsEs(new_compare8(vyy107, vyy108))
new_compare8(Integer(vyy3000), Integer(vyy400)) → new_primCmpInt(vyy3000, vyy400)
new_ltEs4(vyy107, vyy108) → new_fsEs(new_compare9(vyy107, vyy108))
new_compare9(Char(vyy3000), Char(vyy400)) → new_primCmpInt(vyy3000, vyy400)
new_ltEs9(vyy107, vyy108) → new_fsEs(new_compare27(vyy107, vyy108))
new_compare27(@0, @0) → EQ
new_ltEs5(vyy107, vyy108, db) → new_fsEs(new_compare6(vyy107, vyy108, db))
new_compare6(:%(vyy3000, vyy3001), :%(vyy400, vyy401), ty_Int) → new_compare7(new_sr(vyy3000, vyy401), new_sr(vyy400, vyy3001))
new_compare6(:%(vyy3000, vyy3001), :%(vyy400, vyy401), ty_Integer) → new_compare8(new_sr0(vyy3000, vyy401), new_sr0(vyy400, vyy3001))
new_sr0(Integer(vyy4000), Integer(vyy30010)) → Integer(new_primMulInt(vyy4000, vyy30010))
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Float, cef) → new_ltEs15(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_Ratio, fcf), cef) → new_ltEs5(vyy1070, vyy1080, fcf)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(app(ty_@3, feg), feh), ffa)) → new_ltEs17(vyy1070, vyy1080, feg, feh, ffa)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(ty_@2, fee), fef)) → new_ltEs14(vyy1070, vyy1080, fee, fef)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Bool) → new_ltEs8(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Integer, cef) → new_ltEs18(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_Ratio, fdh)) → new_ltEs5(vyy1070, vyy1080, fdh)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Int) → new_ltEs10(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_Maybe, fea)) → new_ltEs11(vyy1070, vyy1080, fea)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(ty_Either, bcf), bcg)) → new_ltEs13(vyy1070, vyy1080, bcf, bcg)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_Maybe, fcg), cef) → new_ltEs11(vyy1070, vyy1080, fcg)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(ty_Either, fec), fed)) → new_ltEs13(vyy1070, vyy1080, fec, fed)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(ty_Either, fda), fdb), cef) → new_ltEs13(vyy1070, vyy1080, fda, fdb)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_Maybe, bcd)) → new_ltEs11(vyy1070, vyy1080, bcd)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_@0, cef) → new_ltEs9(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_[], feb)) → new_ltEs12(vyy1070, vyy1080, feb)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Int, cef) → new_ltEs10(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_[], fch), cef) → new_ltEs12(vyy1070, vyy1080, fch)
new_ltEs13(Right(vyy1070), Left(vyy1080), cee, cef) → False
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Ordering, cef) → new_ltEs16(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Float) → new_ltEs15(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(app(ty_@3, fde), fdf), fdg), cef) → new_ltEs17(vyy1070, vyy1080, fde, fdf, fdg)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Char) → new_ltEs4(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Double) → new_ltEs6(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Ordering) → new_ltEs16(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Char, cef) → new_ltEs4(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Bool, cef) → new_ltEs8(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Integer) → new_ltEs18(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(ty_@2, fdc), fdd), cef) → new_ltEs14(vyy1070, vyy1080, fdc, fdd)
new_ltEs13(Left(vyy1070), Right(vyy1080), cee, cef) → True
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_@0) → new_ltEs9(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Double, cef) → new_ltEs6(vyy1070, vyy1080)
new_ltEs14(@2(vyy1070, vyy1071), @2(vyy1080, vyy1081), ceg, ceh) → new_pePe(new_lt23(vyy1070, vyy1080, ceg), new_asAs(new_esEs39(vyy1070, vyy1080, ceg), new_ltEs24(vyy1071, vyy1081, ceh)))
new_lt23(vyy1070, vyy1080, ty_Bool) → new_lt9(vyy1070, vyy1080)
new_lt23(vyy1070, vyy1080, app(ty_Ratio, ffc)) → new_lt11(vyy1070, vyy1080, ffc)
new_lt23(vyy1070, vyy1080, app(app(ty_Either, fff), ffg)) → new_lt16(vyy1070, vyy1080, fff, ffg)
new_lt23(vyy1070, vyy1080, ty_Integer) → new_lt18(vyy1070, vyy1080)
new_lt23(vyy1070, vyy1080, app(ty_[], ffe)) → new_lt15(vyy1070, vyy1080, ffe)
new_lt23(vyy1070, vyy1080, app(ty_Maybe, ffd)) → new_lt14(vyy1070, vyy1080, ffd)
new_lt23(vyy1070, vyy1080, ty_Ordering) → new_lt5(vyy1070, vyy1080)
new_lt23(vyy1070, vyy1080, ty_@0) → new_lt10(vyy1070, vyy1080)
new_lt23(vyy1070, vyy1080, app(app(app(ty_@3, fgb), fgc), fgd)) → new_lt4(vyy1070, vyy1080, fgb, fgc, fgd)
new_lt23(vyy1070, vyy1080, ty_Int) → new_lt13(vyy1070, vyy1080)
new_lt23(vyy1070, vyy1080, ty_Float) → new_lt7(vyy1070, vyy1080)
new_lt23(vyy1070, vyy1080, ty_Double) → new_lt6(vyy1070, vyy1080)
new_lt23(vyy1070, vyy1080, ty_Char) → new_lt12(vyy1070, vyy1080)
new_lt23(vyy1070, vyy1080, app(app(ty_@2, ffh), fga)) → new_lt17(vyy1070, vyy1080, ffh, fga)
new_esEs39(vyy1070, vyy1080, ty_Ordering) → new_esEs13(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, ty_Integer) → new_esEs26(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, app(ty_Maybe, ffd)) → new_esEs20(vyy1070, vyy1080, ffd)
new_esEs39(vyy1070, vyy1080, app(app(ty_Either, fff), ffg)) → new_esEs21(vyy1070, vyy1080, fff, ffg)
new_esEs39(vyy1070, vyy1080, app(app(app(ty_@3, fgb), fgc), fgd)) → new_esEs18(vyy1070, vyy1080, fgb, fgc, fgd)
new_esEs39(vyy1070, vyy1080, app(app(ty_@2, ffh), fga)) → new_esEs22(vyy1070, vyy1080, ffh, fga)
new_esEs39(vyy1070, vyy1080, ty_Bool) → new_esEs12(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, ty_Float) → new_esEs25(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, ty_Double) → new_esEs23(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, ty_Int) → new_esEs19(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, app(ty_Ratio, ffc)) → new_esEs16(vyy1070, vyy1080, ffc)
new_esEs39(vyy1070, vyy1080, ty_Char) → new_esEs17(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, ty_@0) → new_esEs24(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, app(ty_[], ffe)) → new_esEs14(vyy1070, vyy1080, ffe)
new_ltEs24(vyy1071, vyy1081, app(ty_[], fgg)) → new_ltEs12(vyy1071, vyy1081, fgg)
new_ltEs24(vyy1071, vyy1081, app(app(ty_@2, fhb), fhc)) → new_ltEs14(vyy1071, vyy1081, fhb, fhc)
new_ltEs24(vyy1071, vyy1081, ty_Bool) → new_ltEs8(vyy1071, vyy1081)
new_ltEs24(vyy1071, vyy1081, ty_Float) → new_ltEs15(vyy1071, vyy1081)
new_ltEs24(vyy1071, vyy1081, ty_Integer) → new_ltEs18(vyy1071, vyy1081)
new_ltEs24(vyy1071, vyy1081, app(ty_Maybe, fgf)) → new_ltEs11(vyy1071, vyy1081, fgf)
new_ltEs24(vyy1071, vyy1081, ty_@0) → new_ltEs9(vyy1071, vyy1081)
new_ltEs24(vyy1071, vyy1081, app(ty_Ratio, fge)) → new_ltEs5(vyy1071, vyy1081, fge)
new_ltEs24(vyy1071, vyy1081, ty_Double) → new_ltEs6(vyy1071, vyy1081)
new_ltEs24(vyy1071, vyy1081, ty_Int) → new_ltEs10(vyy1071, vyy1081)
new_ltEs24(vyy1071, vyy1081, ty_Ordering) → new_ltEs16(vyy1071, vyy1081)
new_ltEs24(vyy1071, vyy1081, app(app(app(ty_@3, fhd), fhe), fhf)) → new_ltEs17(vyy1071, vyy1081, fhd, fhe, fhf)
new_ltEs24(vyy1071, vyy1081, app(app(ty_Either, fgh), fha)) → new_ltEs13(vyy1071, vyy1081, fgh, fha)
new_ltEs24(vyy1071, vyy1081, ty_Char) → new_ltEs4(vyy1071, vyy1081)
new_asAs(False, vyy174) → False
new_asAs(True, vyy174) → vyy174
new_pePe(False, vyy235) → vyy235
new_pePe(True, vyy235) → True
new_ltEs17(@3(vyy1070, vyy1071, vyy1072), @3(vyy1080, vyy1081, vyy1082), cfa, cfb, cfc) → new_pePe(new_lt21(vyy1070, vyy1080, cfa), new_asAs(new_esEs36(vyy1070, vyy1080, cfa), new_pePe(new_lt22(vyy1071, vyy1081, cfb), new_asAs(new_esEs35(vyy1071, vyy1081, cfb), new_ltEs22(vyy1072, vyy1082, cfc)))))
new_lt21(vyy1070, vyy1080, ty_Bool) → new_lt9(vyy1070, vyy1080)
new_lt21(vyy1070, vyy1080, ty_Float) → new_lt7(vyy1070, vyy1080)
new_lt21(vyy1070, vyy1080, app(app(ty_@2, dgc), dgd)) → new_lt17(vyy1070, vyy1080, dgc, dgd)
new_lt21(vyy1070, vyy1080, app(app(ty_Either, dga), dgb)) → new_lt16(vyy1070, vyy1080, dga, dgb)
new_lt21(vyy1070, vyy1080, ty_Ordering) → new_lt5(vyy1070, vyy1080)
new_lt21(vyy1070, vyy1080, app(ty_Maybe, dfg)) → new_lt14(vyy1070, vyy1080, dfg)
new_lt21(vyy1070, vyy1080, ty_Double) → new_lt6(vyy1070, vyy1080)
new_lt21(vyy1070, vyy1080, app(ty_Ratio, dff)) → new_lt11(vyy1070, vyy1080, dff)
new_lt21(vyy1070, vyy1080, ty_Int) → new_lt13(vyy1070, vyy1080)
new_lt21(vyy1070, vyy1080, app(app(app(ty_@3, dge), dgf), dgg)) → new_lt4(vyy1070, vyy1080, dge, dgf, dgg)
new_lt21(vyy1070, vyy1080, app(ty_[], dfh)) → new_lt15(vyy1070, vyy1080, dfh)
new_lt21(vyy1070, vyy1080, ty_@0) → new_lt10(vyy1070, vyy1080)
new_lt21(vyy1070, vyy1080, ty_Char) → new_lt12(vyy1070, vyy1080)
new_lt21(vyy1070, vyy1080, ty_Integer) → new_lt18(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, ty_@0) → new_esEs24(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, ty_Double) → new_esEs23(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, app(ty_Ratio, dff)) → new_esEs16(vyy1070, vyy1080, dff)
new_esEs36(vyy1070, vyy1080, app(app(app(ty_@3, dge), dgf), dgg)) → new_esEs18(vyy1070, vyy1080, dge, dgf, dgg)
new_esEs36(vyy1070, vyy1080, ty_Integer) → new_esEs26(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, app(ty_Maybe, dfg)) → new_esEs20(vyy1070, vyy1080, dfg)
new_esEs36(vyy1070, vyy1080, ty_Ordering) → new_esEs13(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, ty_Float) → new_esEs25(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, app(app(ty_Either, dga), dgb)) → new_esEs21(vyy1070, vyy1080, dga, dgb)
new_esEs36(vyy1070, vyy1080, app(ty_[], dfh)) → new_esEs14(vyy1070, vyy1080, dfh)
new_esEs36(vyy1070, vyy1080, ty_Bool) → new_esEs12(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, ty_Char) → new_esEs17(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, app(app(ty_@2, dgc), dgd)) → new_esEs22(vyy1070, vyy1080, dgc, dgd)
new_esEs36(vyy1070, vyy1080, ty_Int) → new_esEs19(vyy1070, vyy1080)
new_lt22(vyy1071, vyy1081, ty_Ordering) → new_lt5(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, ty_Double) → new_lt6(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, app(ty_[], dhb)) → new_lt15(vyy1071, vyy1081, dhb)
new_lt22(vyy1071, vyy1081, ty_@0) → new_lt10(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, app(ty_Maybe, dha)) → new_lt14(vyy1071, vyy1081, dha)
new_lt22(vyy1071, vyy1081, app(app(ty_@2, dhe), dhf)) → new_lt17(vyy1071, vyy1081, dhe, dhf)
new_lt22(vyy1071, vyy1081, app(ty_Ratio, dgh)) → new_lt11(vyy1071, vyy1081, dgh)
new_lt22(vyy1071, vyy1081, ty_Int) → new_lt13(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, app(app(ty_Either, dhc), dhd)) → new_lt16(vyy1071, vyy1081, dhc, dhd)
new_lt22(vyy1071, vyy1081, ty_Integer) → new_lt18(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, ty_Char) → new_lt12(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, ty_Float) → new_lt7(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, app(app(app(ty_@3, dhg), dhh), eaa)) → new_lt4(vyy1071, vyy1081, dhg, dhh, eaa)
new_lt22(vyy1071, vyy1081, ty_Bool) → new_lt9(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, app(app(ty_@2, dhe), dhf)) → new_esEs22(vyy1071, vyy1081, dhe, dhf)
new_esEs35(vyy1071, vyy1081, ty_Double) → new_esEs23(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, ty_Bool) → new_esEs12(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, ty_Char) → new_esEs17(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs18(vyy1071, vyy1081, dhg, dhh, eaa)
new_esEs35(vyy1071, vyy1081, app(ty_Maybe, dha)) → new_esEs20(vyy1071, vyy1081, dha)
new_esEs35(vyy1071, vyy1081, app(app(ty_Either, dhc), dhd)) → new_esEs21(vyy1071, vyy1081, dhc, dhd)
new_esEs35(vyy1071, vyy1081, ty_@0) → new_esEs24(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, app(ty_[], dhb)) → new_esEs14(vyy1071, vyy1081, dhb)
new_esEs35(vyy1071, vyy1081, ty_Ordering) → new_esEs13(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, ty_Int) → new_esEs19(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, app(ty_Ratio, dgh)) → new_esEs16(vyy1071, vyy1081, dgh)
new_esEs35(vyy1071, vyy1081, ty_Integer) → new_esEs26(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, ty_Float) → new_esEs25(vyy1071, vyy1081)
new_ltEs22(vyy1072, vyy1082, ty_Float) → new_ltEs15(vyy1072, vyy1082)
new_ltEs22(vyy1072, vyy1082, app(app(ty_Either, eae), eaf)) → new_ltEs13(vyy1072, vyy1082, eae, eaf)
new_ltEs22(vyy1072, vyy1082, ty_Ordering) → new_ltEs16(vyy1072, vyy1082)
new_ltEs22(vyy1072, vyy1082, ty_Integer) → new_ltEs18(vyy1072, vyy1082)
new_ltEs22(vyy1072, vyy1082, ty_@0) → new_ltEs9(vyy1072, vyy1082)
new_ltEs22(vyy1072, vyy1082, app(ty_Maybe, eac)) → new_ltEs11(vyy1072, vyy1082, eac)
new_ltEs22(vyy1072, vyy1082, ty_Int) → new_ltEs10(vyy1072, vyy1082)
new_ltEs22(vyy1072, vyy1082, app(app(ty_@2, eag), eah)) → new_ltEs14(vyy1072, vyy1082, eag, eah)
new_ltEs22(vyy1072, vyy1082, app(app(app(ty_@3, eba), ebb), ebc)) → new_ltEs17(vyy1072, vyy1082, eba, ebb, ebc)
new_ltEs22(vyy1072, vyy1082, ty_Char) → new_ltEs4(vyy1072, vyy1082)
new_ltEs22(vyy1072, vyy1082, app(ty_Ratio, eab)) → new_ltEs5(vyy1072, vyy1082, eab)
new_ltEs22(vyy1072, vyy1082, ty_Bool) → new_ltEs8(vyy1072, vyy1082)
new_ltEs22(vyy1072, vyy1082, app(ty_[], ead)) → new_ltEs12(vyy1072, vyy1082, ead)
new_ltEs22(vyy1072, vyy1082, ty_Double) → new_ltEs6(vyy1072, vyy1082)
new_ltEs12(vyy107, vyy108, bhh) → new_fsEs(new_compare17(vyy107, vyy108, bhh))
new_ltEs8(False, True) → True
new_ltEs8(False, False) → True
new_ltEs8(True, True) → True
new_ltEs8(True, False) → False
new_ltEs10(vyy107, vyy108) → new_fsEs(new_compare7(vyy107, vyy108))
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Ordering) → new_ltEs16(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Bool) → new_ltEs8(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_@0) → new_ltEs9(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Integer) → new_ltEs18(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Char) → new_ltEs4(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_[], bce)) → new_ltEs12(vyy1070, vyy1080, bce)
new_ltEs11(Nothing, Nothing, bcb) → True
new_ltEs11(Just(vyy1070), Nothing, bcb) → False
new_ltEs11(Nothing, Just(vyy1080), bcb) → True
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_Ratio, bcc)) → new_ltEs5(vyy1070, vyy1080, bcc)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Double) → new_ltEs6(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(app(ty_@3, bdb), bdc), bdd)) → new_ltEs17(vyy1070, vyy1080, bdb, bdc, bdd)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(ty_@2, bch), bda)) → new_ltEs14(vyy1070, vyy1080, bch, bda)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Float) → new_ltEs15(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Int) → new_ltEs10(vyy1070, vyy1080)
new_ltEs16(EQ, LT) → False
new_ltEs16(GT, EQ) → False
new_ltEs16(EQ, EQ) → True
new_ltEs16(LT, LT) → True
new_ltEs16(GT, GT) → True
new_ltEs16(LT, GT) → True
new_ltEs16(EQ, GT) → True
new_ltEs16(LT, EQ) → True
new_ltEs16(GT, LT) → False
new_esEs25(Float(vyy30000, vyy30001), Float(vyy4000, vyy4001)) → new_esEs19(new_sr(vyy30000, vyy4000), new_sr(vyy30001, vyy4001))
new_esEs19(vyy3000, vyy400) → new_primEqInt(vyy3000, vyy400)
new_primEqInt(Neg(Succ(vyy300000)), Neg(Succ(vyy40000))) → new_primEqNat0(vyy300000, vyy40000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Pos(Succ(vyy300000)), Pos(Succ(vyy40000))) → new_primEqNat0(vyy300000, vyy40000)
new_primEqInt(Neg(Zero), Pos(Succ(vyy40000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy40000))) → False
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(vyy40000))) → False
new_primEqInt(Neg(Succ(vyy300000)), Neg(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(vyy40000))) → False
new_primEqInt(Pos(Succ(vyy300000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(vyy300000)), Pos(vyy4000)) → False
new_primEqInt(Pos(Succ(vyy300000)), Neg(vyy4000)) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(vyy3000000), Succ(vyy400000)) → new_primEqNat0(vyy3000000, vyy400000)
new_primEqNat0(Zero, Succ(vyy400000)) → False
new_primEqNat0(Succ(vyy3000000), Zero) → False
new_esEs26(Integer(vyy30000), Integer(vyy4000)) → new_primEqInt(vyy30000, vyy4000)
new_esEs16(:%(vyy30000, vyy30001), :%(vyy4000, vyy4001), da) → new_asAs(new_esEs28(vyy30000, vyy4000, da), new_esEs27(vyy30001, vyy4001, da))
new_esEs28(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs28(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs27(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_esEs27(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_esEs13(EQ, LT) → False
new_esEs13(LT, EQ) → False
new_esEs13(GT, LT) → False
new_esEs13(EQ, EQ) → True
new_esEs13(LT, LT) → True
new_esEs13(GT, EQ) → False
new_esEs14(:(vyy30000, vyy30001), :(vyy4000, vyy4001), be) → new_asAs(new_esEs15(vyy30000, vyy4000, be), new_esEs14(vyy30001, vyy4001, be))
new_esEs14([], [], be) → True
new_esEs14(:(vyy30000, vyy30001), [], be) → False
new_esEs14([], :(vyy4000, vyy4001), be) → False
new_esEs15(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, app(app(app(ty_@3, bg), bh), ca)) → new_esEs18(vyy30000, vyy4000, bg, bh, ca)
new_esEs15(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, app(app(ty_Either, cc), cd)) → new_esEs21(vyy30000, vyy4000, cc, cd)
new_esEs15(vyy30000, vyy4000, app(ty_Maybe, cb)) → new_esEs20(vyy30000, vyy4000, cb)
new_esEs15(vyy30000, vyy4000, app(ty_Ratio, bf)) → new_esEs16(vyy30000, vyy4000, bf)
new_esEs15(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, app(ty_[], cg)) → new_esEs14(vyy30000, vyy4000, cg)
new_esEs15(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, app(app(ty_@2, ce), cf)) → new_esEs22(vyy30000, vyy4000, ce, cf)
new_esEs15(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs22(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), eeb, eec) → new_asAs(new_esEs38(vyy30000, vyy4000, eeb), new_esEs37(vyy30001, vyy4001, eec))
new_esEs38(vyy30000, vyy4000, app(ty_[], egg)) → new_esEs14(vyy30000, vyy4000, egg)
new_esEs38(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, app(app(app(ty_@3, efg), efh), ega)) → new_esEs18(vyy30000, vyy4000, efg, efh, ega)
new_esEs38(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, app(ty_Maybe, egb)) → new_esEs20(vyy30000, vyy4000, egb)
new_esEs38(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, app(app(ty_Either, egc), egd)) → new_esEs21(vyy30000, vyy4000, egc, egd)
new_esEs38(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, app(app(ty_@2, ege), egf)) → new_esEs22(vyy30000, vyy4000, ege, egf)
new_esEs38(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, app(ty_Ratio, eff)) → new_esEs16(vyy30000, vyy4000, eff)
new_esEs37(vyy30001, vyy4001, app(ty_Ratio, eed)) → new_esEs16(vyy30001, vyy4001, eed)
new_esEs37(vyy30001, vyy4001, ty_Float) → new_esEs25(vyy30001, vyy4001)
new_esEs37(vyy30001, vyy4001, app(app(app(ty_@3, eee), eef), eeg)) → new_esEs18(vyy30001, vyy4001, eee, eef, eeg)
new_esEs37(vyy30001, vyy4001, app(app(ty_@2, efc), efd)) → new_esEs22(vyy30001, vyy4001, efc, efd)
new_esEs37(vyy30001, vyy4001, app(ty_[], efe)) → new_esEs14(vyy30001, vyy4001, efe)
new_esEs37(vyy30001, vyy4001, ty_Double) → new_esEs23(vyy30001, vyy4001)
new_esEs37(vyy30001, vyy4001, app(app(ty_Either, efa), efb)) → new_esEs21(vyy30001, vyy4001, efa, efb)
new_esEs37(vyy30001, vyy4001, ty_Bool) → new_esEs12(vyy30001, vyy4001)
new_esEs37(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_esEs37(vyy30001, vyy4001, ty_@0) → new_esEs24(vyy30001, vyy4001)
new_esEs37(vyy30001, vyy4001, ty_Char) → new_esEs17(vyy30001, vyy4001)
new_esEs37(vyy30001, vyy4001, app(ty_Maybe, eeh)) → new_esEs20(vyy30001, vyy4001, eeh)
new_esEs37(vyy30001, vyy4001, ty_Ordering) → new_esEs13(vyy30001, vyy4001)
new_esEs37(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(ty_@2, faa), fab)) → new_esEs22(vyy30000, vyy4000, faa, fab)
new_esEs20(Nothing, Nothing, eha) → True
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(app(ty_@3, ehc), ehd), ehe)) → new_esEs18(vyy30000, vyy4000, ehc, ehd, ehe)
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_[], fac)) → new_esEs14(vyy30000, vyy4000, fac)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_Ratio, ehb)) → new_esEs16(vyy30000, vyy4000, ehb)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Nothing, eha) → False
new_esEs20(Nothing, Just(vyy4000), eha) → False
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_Maybe, ehf)) → new_esEs20(vyy30000, vyy4000, ehf)
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(ty_Either, ehg), ehh)) → new_esEs21(vyy30000, vyy4000, ehg, ehh)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(ty_Either, ede), edf)) → new_esEs21(vyy30000, vyy4000, ede, edf)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_Maybe, edd)) → new_esEs20(vyy30000, vyy4000, edd)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(ty_Either, ecb), ecc), ebe) → new_esEs21(vyy30000, vyy4000, ecb, ecc)
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_Maybe, eca), ebe) → new_esEs20(vyy30000, vyy4000, eca)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Float, ebe) → new_esEs25(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Integer, ebe) → new_esEs26(vyy30000, vyy4000)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(app(ty_@3, eda), edb), edc)) → new_esEs18(vyy30000, vyy4000, eda, edb, edc)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Int, ebe) → new_esEs19(vyy30000, vyy4000)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(ty_@2, ecd), ece), ebe) → new_esEs22(vyy30000, vyy4000, ecd, ece)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Double, ebe) → new_esEs23(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_[], ecf), ebe) → new_esEs14(vyy30000, vyy4000, ecf)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_Ratio, ech)) → new_esEs16(vyy30000, vyy4000, ech)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Char, ebe) → new_esEs17(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Ordering, ebe) → new_esEs13(vyy30000, vyy4000)
new_esEs21(Right(vyy30000), Left(vyy4000), ecg, ebe) → False
new_esEs21(Left(vyy30000), Right(vyy4000), ecg, ebe) → False
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_Ratio, ebd), ebe) → new_esEs16(vyy30000, vyy4000, ebd)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_@0, ebe) → new_esEs24(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(app(ty_@3, ebf), ebg), ebh), ebe) → new_esEs18(vyy30000, vyy4000, ebf, ebg, ebh)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Bool, ebe) → new_esEs12(vyy30000, vyy4000)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(ty_@2, edg), edh)) → new_esEs22(vyy30000, vyy4000, edg, edh)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_[], eea)) → new_esEs14(vyy30000, vyy4000, eea)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs24(@0, @0) → True
new_esEs12(True, True) → True
new_esEs12(False, False) → True
new_esEs12(False, True) → False
new_esEs12(True, False) → False
new_esEs23(Double(vyy30000, vyy30001), Double(vyy4000, vyy4001)) → new_esEs19(new_sr(vyy30000, vyy4000), new_sr(vyy30001, vyy4001))
new_esEs18(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), cfd, cfe, cff) → new_asAs(new_esEs34(vyy30000, vyy4000, cfd), new_asAs(new_esEs33(vyy30001, vyy4001, cfe), new_esEs32(vyy30002, vyy4002, cff)))
new_esEs34(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, app(app(ty_Either, dah), dba)) → new_esEs21(vyy30000, vyy4000, dah, dba)
new_esEs34(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, app(app(ty_@2, dbb), dbc)) → new_esEs22(vyy30000, vyy4000, dbb, dbc)
new_esEs34(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, app(app(app(ty_@3, dad), dae), daf)) → new_esEs18(vyy30000, vyy4000, dad, dae, daf)
new_esEs34(vyy30000, vyy4000, app(ty_Ratio, dac)) → new_esEs16(vyy30000, vyy4000, dac)
new_esEs34(vyy30000, vyy4000, app(ty_Maybe, dag)) → new_esEs20(vyy30000, vyy4000, dag)
new_esEs34(vyy30000, vyy4000, app(ty_[], dbd)) → new_esEs14(vyy30000, vyy4000, dbd)
new_esEs33(vyy30001, vyy4001, app(app(app(ty_@3, chb), chc), chd)) → new_esEs18(vyy30001, vyy4001, chb, chc, chd)
new_esEs33(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_esEs33(vyy30001, vyy4001, app(ty_[], dab)) → new_esEs14(vyy30001, vyy4001, dab)
new_esEs33(vyy30001, vyy4001, ty_Char) → new_esEs17(vyy30001, vyy4001)
new_esEs33(vyy30001, vyy4001, ty_Ordering) → new_esEs13(vyy30001, vyy4001)
new_esEs33(vyy30001, vyy4001, ty_Float) → new_esEs25(vyy30001, vyy4001)
new_esEs33(vyy30001, vyy4001, app(ty_Ratio, cha)) → new_esEs16(vyy30001, vyy4001, cha)
new_esEs33(vyy30001, vyy4001, app(ty_Maybe, che)) → new_esEs20(vyy30001, vyy4001, che)
new_esEs33(vyy30001, vyy4001, ty_@0) → new_esEs24(vyy30001, vyy4001)
new_esEs33(vyy30001, vyy4001, app(app(ty_Either, chf), chg)) → new_esEs21(vyy30001, vyy4001, chf, chg)
new_esEs33(vyy30001, vyy4001, app(app(ty_@2, chh), daa)) → new_esEs22(vyy30001, vyy4001, chh, daa)
new_esEs33(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_esEs33(vyy30001, vyy4001, ty_Double) → new_esEs23(vyy30001, vyy4001)
new_esEs33(vyy30001, vyy4001, ty_Bool) → new_esEs12(vyy30001, vyy4001)
new_esEs32(vyy30002, vyy4002, ty_Int) → new_esEs19(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, ty_Integer) → new_esEs26(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, app(app(ty_Either, cgd), cge)) → new_esEs21(vyy30002, vyy4002, cgd, cge)
new_esEs32(vyy30002, vyy4002, ty_@0) → new_esEs24(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, app(app(app(ty_@3, cfh), cga), cgb)) → new_esEs18(vyy30002, vyy4002, cfh, cga, cgb)
new_esEs32(vyy30002, vyy4002, app(ty_[], cgh)) → new_esEs14(vyy30002, vyy4002, cgh)
new_esEs32(vyy30002, vyy4002, ty_Ordering) → new_esEs13(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, ty_Bool) → new_esEs12(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, app(app(ty_@2, cgf), cgg)) → new_esEs22(vyy30002, vyy4002, cgf, cgg)
new_esEs32(vyy30002, vyy4002, ty_Char) → new_esEs17(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, app(ty_Ratio, cfg)) → new_esEs16(vyy30002, vyy4002, cfg)
new_esEs32(vyy30002, vyy4002, ty_Float) → new_esEs25(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, ty_Double) → new_esEs23(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, app(ty_Maybe, cgc)) → new_esEs20(vyy30002, vyy4002, cgc)
new_esEs17(Char(vyy30000), Char(vyy4000)) → new_primEqInt(vyy30000, vyy4000)
new_lt9(vyy156, vyy158) → new_esEs13(new_compare28(vyy156, vyy158), LT)
new_compare28(True, False) → GT
new_compare28(True, True) → EQ
new_compare28(False, False) → EQ
new_compare28(False, True) → LT
new_lt4(vyy156, vyy158, bb, bc, bd) → new_esEs13(new_compare10(vyy156, vyy158, bb, bc, bd), LT)
new_compare10(@3(vyy3000, vyy3001, vyy3002), @3(vyy400, vyy401, vyy402), caa, cab, cac) → new_compare26(vyy3000, vyy3001, vyy3002, vyy400, vyy401, vyy402, new_asAs(new_esEs11(vyy3000, vyy400, caa), new_asAs(new_esEs10(vyy3001, vyy401, cab), new_esEs9(vyy3002, vyy402, cac))), caa, cab, cac)
new_esEs11(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, app(ty_Maybe, cdd)) → new_esEs20(vyy3000, vyy400, cdd)
new_esEs11(vyy3000, vyy400, app(ty_[], cea)) → new_esEs14(vyy3000, vyy400, cea)
new_esEs11(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, app(ty_Ratio, cch)) → new_esEs16(vyy3000, vyy400, cch)
new_esEs11(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, app(app(app(ty_@3, cda), cdb), cdc)) → new_esEs18(vyy3000, vyy400, cda, cdb, cdc)
new_esEs11(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, app(app(ty_Either, cde), cdf)) → new_esEs21(vyy3000, vyy400, cde, cdf)
new_esEs11(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, app(app(ty_@2, cdg), cdh)) → new_esEs22(vyy3000, vyy400, cdg, cdh)
new_esEs10(vyy3001, vyy401, ty_Char) → new_esEs17(vyy3001, vyy401)
new_esEs10(vyy3001, vyy401, app(app(ty_@2, cce), ccf)) → new_esEs22(vyy3001, vyy401, cce, ccf)
new_esEs10(vyy3001, vyy401, ty_Float) → new_esEs25(vyy3001, vyy401)
new_esEs10(vyy3001, vyy401, app(app(ty_Either, ccc), ccd)) → new_esEs21(vyy3001, vyy401, ccc, ccd)
new_esEs10(vyy3001, vyy401, ty_Ordering) → new_esEs13(vyy3001, vyy401)
new_esEs10(vyy3001, vyy401, app(app(app(ty_@3, cbg), cbh), cca)) → new_esEs18(vyy3001, vyy401, cbg, cbh, cca)
new_esEs10(vyy3001, vyy401, ty_Double) → new_esEs23(vyy3001, vyy401)
new_esEs10(vyy3001, vyy401, ty_Bool) → new_esEs12(vyy3001, vyy401)
new_esEs10(vyy3001, vyy401, ty_@0) → new_esEs24(vyy3001, vyy401)
new_esEs10(vyy3001, vyy401, app(ty_Ratio, cbf)) → new_esEs16(vyy3001, vyy401, cbf)
new_esEs10(vyy3001, vyy401, app(ty_Maybe, ccb)) → new_esEs20(vyy3001, vyy401, ccb)
new_esEs10(vyy3001, vyy401, app(ty_[], ccg)) → new_esEs14(vyy3001, vyy401, ccg)
new_esEs10(vyy3001, vyy401, ty_Integer) → new_esEs26(vyy3001, vyy401)
new_esEs10(vyy3001, vyy401, ty_Int) → new_esEs19(vyy3001, vyy401)
new_esEs9(vyy3002, vyy402, app(ty_[], cbe)) → new_esEs14(vyy3002, vyy402, cbe)
new_esEs9(vyy3002, vyy402, ty_Char) → new_esEs17(vyy3002, vyy402)
new_esEs9(vyy3002, vyy402, app(app(ty_Either, cba), cbb)) → new_esEs21(vyy3002, vyy402, cba, cbb)
new_esEs9(vyy3002, vyy402, app(app(ty_@2, cbc), cbd)) → new_esEs22(vyy3002, vyy402, cbc, cbd)
new_esEs9(vyy3002, vyy402, ty_Float) → new_esEs25(vyy3002, vyy402)
new_esEs9(vyy3002, vyy402, ty_Integer) → new_esEs26(vyy3002, vyy402)
new_esEs9(vyy3002, vyy402, app(ty_Ratio, cad)) → new_esEs16(vyy3002, vyy402, cad)
new_esEs9(vyy3002, vyy402, ty_@0) → new_esEs24(vyy3002, vyy402)
new_esEs9(vyy3002, vyy402, app(app(app(ty_@3, cae), caf), cag)) → new_esEs18(vyy3002, vyy402, cae, caf, cag)
new_esEs9(vyy3002, vyy402, ty_Int) → new_esEs19(vyy3002, vyy402)
new_esEs9(vyy3002, vyy402, ty_Double) → new_esEs23(vyy3002, vyy402)
new_esEs9(vyy3002, vyy402, ty_Bool) → new_esEs12(vyy3002, vyy402)
new_esEs9(vyy3002, vyy402, app(ty_Maybe, cah)) → new_esEs20(vyy3002, vyy402, cah)
new_esEs9(vyy3002, vyy402, ty_Ordering) → new_esEs13(vyy3002, vyy402)
new_compare26(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, True, bdg, bdh, bea) → EQ
new_compare26(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, False, bdg, bdh, bea) → new_compare19(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, new_lt19(vyy143, vyy146, bdg), new_asAs(new_esEs31(vyy143, vyy146, bdg), new_pePe(new_lt20(vyy144, vyy147, bdh), new_asAs(new_esEs30(vyy144, vyy147, bdh), new_ltEs20(vyy145, vyy148, bea)))), bdg, bdh, bea)
new_lt19(vyy143, vyy146, ty_Integer) → new_lt18(vyy143, vyy146)
new_lt19(vyy143, vyy146, ty_Char) → new_lt12(vyy143, vyy146)
new_lt19(vyy143, vyy146, app(app(ty_Either, bee), bef)) → new_lt16(vyy143, vyy146, bee, bef)
new_lt19(vyy143, vyy146, ty_Float) → new_lt7(vyy143, vyy146)
new_lt19(vyy143, vyy146, app(ty_[], bed)) → new_lt15(vyy143, vyy146, bed)
new_lt19(vyy143, vyy146, ty_Double) → new_lt6(vyy143, vyy146)
new_lt19(vyy143, vyy146, ty_@0) → new_lt10(vyy143, vyy146)
new_lt19(vyy143, vyy146, ty_Int) → new_lt13(vyy143, vyy146)
new_lt19(vyy143, vyy146, app(ty_Maybe, bec)) → new_lt14(vyy143, vyy146, bec)
new_lt19(vyy143, vyy146, ty_Bool) → new_lt9(vyy143, vyy146)
new_lt19(vyy143, vyy146, ty_Ordering) → new_lt5(vyy143, vyy146)
new_lt19(vyy143, vyy146, app(ty_Ratio, beb)) → new_lt11(vyy143, vyy146, beb)
new_lt19(vyy143, vyy146, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt4(vyy143, vyy146, bfa, bfb, bfc)
new_lt19(vyy143, vyy146, app(app(ty_@2, beg), beh)) → new_lt17(vyy143, vyy146, beg, beh)
new_esEs31(vyy143, vyy146, ty_Ordering) → new_esEs13(vyy143, vyy146)
new_esEs31(vyy143, vyy146, ty_Double) → new_esEs23(vyy143, vyy146)
new_esEs31(vyy143, vyy146, ty_Char) → new_esEs17(vyy143, vyy146)
new_esEs31(vyy143, vyy146, app(ty_Ratio, beb)) → new_esEs16(vyy143, vyy146, beb)
new_esEs31(vyy143, vyy146, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs18(vyy143, vyy146, bfa, bfb, bfc)
new_esEs31(vyy143, vyy146, app(app(ty_@2, beg), beh)) → new_esEs22(vyy143, vyy146, beg, beh)
new_esEs31(vyy143, vyy146, app(app(ty_Either, bee), bef)) → new_esEs21(vyy143, vyy146, bee, bef)
new_esEs31(vyy143, vyy146, ty_@0) → new_esEs24(vyy143, vyy146)
new_esEs31(vyy143, vyy146, app(ty_[], bed)) → new_esEs14(vyy143, vyy146, bed)
new_esEs31(vyy143, vyy146, app(ty_Maybe, bec)) → new_esEs20(vyy143, vyy146, bec)
new_esEs31(vyy143, vyy146, ty_Float) → new_esEs25(vyy143, vyy146)
new_esEs31(vyy143, vyy146, ty_Integer) → new_esEs26(vyy143, vyy146)
new_esEs31(vyy143, vyy146, ty_Int) → new_esEs19(vyy143, vyy146)
new_esEs31(vyy143, vyy146, ty_Bool) → new_esEs12(vyy143, vyy146)
new_lt20(vyy144, vyy147, ty_Integer) → new_lt18(vyy144, vyy147)
new_lt20(vyy144, vyy147, app(app(app(ty_@3, bgc), bgd), bge)) → new_lt4(vyy144, vyy147, bgc, bgd, bge)
new_lt20(vyy144, vyy147, app(ty_Ratio, bfd)) → new_lt11(vyy144, vyy147, bfd)
new_lt20(vyy144, vyy147, app(app(ty_Either, bfg), bfh)) → new_lt16(vyy144, vyy147, bfg, bfh)
new_lt20(vyy144, vyy147, ty_Double) → new_lt6(vyy144, vyy147)
new_lt20(vyy144, vyy147, ty_Ordering) → new_lt5(vyy144, vyy147)
new_lt20(vyy144, vyy147, ty_Float) → new_lt7(vyy144, vyy147)
new_lt20(vyy144, vyy147, ty_Char) → new_lt12(vyy144, vyy147)
new_lt20(vyy144, vyy147, ty_Int) → new_lt13(vyy144, vyy147)
new_lt20(vyy144, vyy147, app(app(ty_@2, bga), bgb)) → new_lt17(vyy144, vyy147, bga, bgb)
new_lt20(vyy144, vyy147, ty_Bool) → new_lt9(vyy144, vyy147)
new_lt20(vyy144, vyy147, ty_@0) → new_lt10(vyy144, vyy147)
new_lt20(vyy144, vyy147, app(ty_[], bff)) → new_lt15(vyy144, vyy147, bff)
new_lt20(vyy144, vyy147, app(ty_Maybe, bfe)) → new_lt14(vyy144, vyy147, bfe)
new_esEs30(vyy144, vyy147, app(ty_[], bff)) → new_esEs14(vyy144, vyy147, bff)
new_esEs30(vyy144, vyy147, ty_Ordering) → new_esEs13(vyy144, vyy147)
new_esEs30(vyy144, vyy147, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs18(vyy144, vyy147, bgc, bgd, bge)
new_esEs30(vyy144, vyy147, app(app(ty_Either, bfg), bfh)) → new_esEs21(vyy144, vyy147, bfg, bfh)
new_esEs30(vyy144, vyy147, app(app(ty_@2, bga), bgb)) → new_esEs22(vyy144, vyy147, bga, bgb)
new_esEs30(vyy144, vyy147, app(ty_Ratio, bfd)) → new_esEs16(vyy144, vyy147, bfd)
new_esEs30(vyy144, vyy147, ty_@0) → new_esEs24(vyy144, vyy147)
new_esEs30(vyy144, vyy147, ty_Double) → new_esEs23(vyy144, vyy147)
new_esEs30(vyy144, vyy147, app(ty_Maybe, bfe)) → new_esEs20(vyy144, vyy147, bfe)
new_esEs30(vyy144, vyy147, ty_Float) → new_esEs25(vyy144, vyy147)
new_esEs30(vyy144, vyy147, ty_Int) → new_esEs19(vyy144, vyy147)
new_esEs30(vyy144, vyy147, ty_Integer) → new_esEs26(vyy144, vyy147)
new_esEs30(vyy144, vyy147, ty_Bool) → new_esEs12(vyy144, vyy147)
new_esEs30(vyy144, vyy147, ty_Char) → new_esEs17(vyy144, vyy147)
new_ltEs20(vyy145, vyy148, app(ty_Maybe, bgg)) → new_ltEs11(vyy145, vyy148, bgg)
new_ltEs20(vyy145, vyy148, app(ty_[], bgh)) → new_ltEs12(vyy145, vyy148, bgh)
new_ltEs20(vyy145, vyy148, ty_Float) → new_ltEs15(vyy145, vyy148)
new_ltEs20(vyy145, vyy148, ty_Ordering) → new_ltEs16(vyy145, vyy148)
new_ltEs20(vyy145, vyy148, ty_Int) → new_ltEs10(vyy145, vyy148)
new_ltEs20(vyy145, vyy148, ty_@0) → new_ltEs9(vyy145, vyy148)
new_ltEs20(vyy145, vyy148, app(app(ty_Either, bha), bhb)) → new_ltEs13(vyy145, vyy148, bha, bhb)
new_ltEs20(vyy145, vyy148, ty_Bool) → new_ltEs8(vyy145, vyy148)
new_ltEs20(vyy145, vyy148, ty_Char) → new_ltEs4(vyy145, vyy148)
new_ltEs20(vyy145, vyy148, app(ty_Ratio, bgf)) → new_ltEs5(vyy145, vyy148, bgf)
new_ltEs20(vyy145, vyy148, ty_Integer) → new_ltEs18(vyy145, vyy148)
new_ltEs20(vyy145, vyy148, app(app(app(ty_@3, bhe), bhf), bhg)) → new_ltEs17(vyy145, vyy148, bhe, bhf, bhg)
new_ltEs20(vyy145, vyy148, app(app(ty_@2, bhc), bhd)) → new_ltEs14(vyy145, vyy148, bhc, bhd)
new_ltEs20(vyy145, vyy148, ty_Double) → new_ltEs6(vyy145, vyy148)
new_compare19(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, vyy228, fcb, fcc, fcd) → new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, fcb, fcc, fcd)
new_compare19(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, False, vyy228, fcb, fcc, fcd) → new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, vyy228, fcb, fcc, fcd)
new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, False, fcb, fcc, fcd) → GT
new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, fcb, fcc, fcd) → LT
new_lt14(vyy156, vyy158, eh) → new_esEs13(new_compare31(vyy156, vyy158, eh), LT)
new_lt15(vyy156, vyy158, fa) → new_esEs13(new_compare17(vyy156, vyy158, fa), LT)
new_lt10(vyy156, vyy158) → new_esEs13(new_compare27(vyy156, vyy158), LT)
new_lt17(vyy156, vyy158, fd, ff) → new_esEs13(new_compare15(vyy156, vyy158, fd, ff), LT)
new_compare15(@2(vyy3000, vyy3001), @2(vyy400, vyy401), fg, fh) → new_compare24(vyy3000, vyy3001, vyy400, vyy401, new_asAs(new_esEs8(vyy3000, vyy400, fg), new_esEs7(vyy3001, vyy401, fh)), fg, fh)
new_esEs8(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, app(app(ty_Either, hh), baa)) → new_esEs21(vyy3000, vyy400, hh, baa)
new_esEs8(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, app(app(ty_@2, bab), bac)) → new_esEs22(vyy3000, vyy400, bab, bac)
new_esEs8(vyy3000, vyy400, app(ty_[], bad)) → new_esEs14(vyy3000, vyy400, bad)
new_esEs8(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, app(ty_Maybe, hg)) → new_esEs20(vyy3000, vyy400, hg)
new_esEs8(vyy3000, vyy400, app(app(app(ty_@3, hd), he), hf)) → new_esEs18(vyy3000, vyy400, hd, he, hf)
new_esEs8(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, app(ty_Ratio, hc)) → new_esEs16(vyy3000, vyy400, hc)
new_esEs7(vyy3001, vyy401, ty_Ordering) → new_esEs13(vyy3001, vyy401)
new_esEs7(vyy3001, vyy401, ty_Bool) → new_esEs12(vyy3001, vyy401)
new_esEs7(vyy3001, vyy401, app(app(ty_Either, gf), gg)) → new_esEs21(vyy3001, vyy401, gf, gg)
new_esEs7(vyy3001, vyy401, ty_Char) → new_esEs17(vyy3001, vyy401)
new_esEs7(vyy3001, vyy401, ty_Integer) → new_esEs26(vyy3001, vyy401)
new_esEs7(vyy3001, vyy401, ty_Int) → new_esEs19(vyy3001, vyy401)
new_esEs7(vyy3001, vyy401, ty_@0) → new_esEs24(vyy3001, vyy401)
new_esEs7(vyy3001, vyy401, app(ty_Ratio, ga)) → new_esEs16(vyy3001, vyy401, ga)
new_esEs7(vyy3001, vyy401, app(ty_Maybe, ge)) → new_esEs20(vyy3001, vyy401, ge)
new_esEs7(vyy3001, vyy401, ty_Double) → new_esEs23(vyy3001, vyy401)
new_esEs7(vyy3001, vyy401, ty_Float) → new_esEs25(vyy3001, vyy401)
new_esEs7(vyy3001, vyy401, app(app(ty_@2, gh), ha)) → new_esEs22(vyy3001, vyy401, gh, ha)
new_esEs7(vyy3001, vyy401, app(app(app(ty_@3, gb), gc), gd)) → new_esEs18(vyy3001, vyy401, gb, gc, gd)
new_esEs7(vyy3001, vyy401, app(ty_[], hb)) → new_esEs14(vyy3001, vyy401, hb)
new_compare24(vyy156, vyy157, vyy158, vyy159, False, dc, dd) → new_compare14(vyy156, vyy157, vyy158, vyy159, new_lt8(vyy156, vyy158, dc), new_asAs(new_esEs29(vyy156, vyy158, dc), new_ltEs7(vyy157, vyy159, dd)), dc, dd)
new_compare24(vyy156, vyy157, vyy158, vyy159, True, dc, dd) → EQ
new_lt8(vyy156, vyy158, app(ty_Ratio, eg)) → new_lt11(vyy156, vyy158, eg)
new_lt8(vyy156, vyy158, app(app(ty_@2, fd), ff)) → new_lt17(vyy156, vyy158, fd, ff)
new_lt8(vyy156, vyy158, app(ty_Maybe, eh)) → new_lt14(vyy156, vyy158, eh)
new_lt8(vyy156, vyy158, ty_@0) → new_lt10(vyy156, vyy158)
new_lt8(vyy156, vyy158, app(ty_[], fa)) → new_lt15(vyy156, vyy158, fa)
new_lt8(vyy156, vyy158, ty_Double) → new_lt6(vyy156, vyy158)
new_lt8(vyy156, vyy158, ty_Bool) → new_lt9(vyy156, vyy158)
new_lt8(vyy156, vyy158, ty_Ordering) → new_lt5(vyy156, vyy158)
new_lt8(vyy156, vyy158, ty_Float) → new_lt7(vyy156, vyy158)
new_lt8(vyy156, vyy158, app(app(app(ty_@3, bb), bc), bd)) → new_lt4(vyy156, vyy158, bb, bc, bd)
new_lt8(vyy156, vyy158, ty_Char) → new_lt12(vyy156, vyy158)
new_lt8(vyy156, vyy158, ty_Int) → new_lt13(vyy156, vyy158)
new_lt8(vyy156, vyy158, ty_Integer) → new_lt18(vyy156, vyy158)
new_lt8(vyy156, vyy158, app(app(ty_Either, fb), fc)) → new_lt16(vyy156, vyy158, fb, fc)
new_esEs29(vyy156, vyy158, ty_@0) → new_esEs24(vyy156, vyy158)
new_esEs29(vyy156, vyy158, app(ty_[], fa)) → new_esEs14(vyy156, vyy158, fa)
new_esEs29(vyy156, vyy158, app(app(ty_Either, fb), fc)) → new_esEs21(vyy156, vyy158, fb, fc)
new_esEs29(vyy156, vyy158, app(app(ty_@2, fd), ff)) → new_esEs22(vyy156, vyy158, fd, ff)
new_esEs29(vyy156, vyy158, ty_Ordering) → new_esEs13(vyy156, vyy158)
new_esEs29(vyy156, vyy158, ty_Integer) → new_esEs26(vyy156, vyy158)
new_esEs29(vyy156, vyy158, app(ty_Ratio, eg)) → new_esEs16(vyy156, vyy158, eg)
new_esEs29(vyy156, vyy158, app(ty_Maybe, eh)) → new_esEs20(vyy156, vyy158, eh)
new_esEs29(vyy156, vyy158, ty_Float) → new_esEs25(vyy156, vyy158)
new_esEs29(vyy156, vyy158, app(app(app(ty_@3, bb), bc), bd)) → new_esEs18(vyy156, vyy158, bb, bc, bd)
new_esEs29(vyy156, vyy158, ty_Int) → new_esEs19(vyy156, vyy158)
new_esEs29(vyy156, vyy158, ty_Bool) → new_esEs12(vyy156, vyy158)
new_esEs29(vyy156, vyy158, ty_Char) → new_esEs17(vyy156, vyy158)
new_esEs29(vyy156, vyy158, ty_Double) → new_esEs23(vyy156, vyy158)
new_ltEs7(vyy157, vyy159, app(app(ty_@2, eb), ec)) → new_ltEs14(vyy157, vyy159, eb, ec)
new_ltEs7(vyy157, vyy159, ty_Integer) → new_ltEs18(vyy157, vyy159)
new_ltEs7(vyy157, vyy159, ty_Bool) → new_ltEs8(vyy157, vyy159)
new_ltEs7(vyy157, vyy159, ty_@0) → new_ltEs9(vyy157, vyy159)
new_ltEs7(vyy157, vyy159, ty_Double) → new_ltEs6(vyy157, vyy159)
new_ltEs7(vyy157, vyy159, app(ty_Maybe, df)) → new_ltEs11(vyy157, vyy159, df)
new_ltEs7(vyy157, vyy159, app(app(app(ty_@3, ed), ee), ef)) → new_ltEs17(vyy157, vyy159, ed, ee, ef)
new_ltEs7(vyy157, vyy159, ty_Float) → new_ltEs15(vyy157, vyy159)
new_ltEs7(vyy157, vyy159, app(ty_Ratio, de)) → new_ltEs5(vyy157, vyy159, de)
new_ltEs7(vyy157, vyy159, app(ty_[], dg)) → new_ltEs12(vyy157, vyy159, dg)
new_ltEs7(vyy157, vyy159, ty_Int) → new_ltEs10(vyy157, vyy159)
new_ltEs7(vyy157, vyy159, ty_Char) → new_ltEs4(vyy157, vyy159)
new_ltEs7(vyy157, vyy159, app(app(ty_Either, dh), ea)) → new_ltEs13(vyy157, vyy159, dh, ea)
new_ltEs7(vyy157, vyy159, ty_Ordering) → new_ltEs16(vyy157, vyy159)
new_compare14(vyy206, vyy207, vyy208, vyy209, True, vyy211, bde, bdf) → new_compare18(vyy206, vyy207, vyy208, vyy209, True, bde, bdf)
new_compare14(vyy206, vyy207, vyy208, vyy209, False, vyy211, bde, bdf) → new_compare18(vyy206, vyy207, vyy208, vyy209, vyy211, bde, bdf)
new_compare18(vyy206, vyy207, vyy208, vyy209, True, bde, bdf) → LT
new_compare18(vyy206, vyy207, vyy208, vyy209, False, bde, bdf) → GT
new_lt16(vyy156, vyy158, fb, fc) → new_esEs13(new_compare30(vyy156, vyy158, fb, fc), LT)
new_compare30(Right(vyy3000), Left(vyy400), dbe, dbf) → GT
new_compare30(Right(vyy3000), Right(vyy400), dbe, dbf) → new_compare210(vyy3000, vyy400, new_esEs6(vyy3000, vyy400, dbf), dbe, dbf)
new_compare30(Left(vyy3000), Left(vyy400), dbe, dbf) → new_compare25(vyy3000, vyy400, new_esEs5(vyy3000, vyy400, dbe), dbe, dbf)
new_compare30(Left(vyy3000), Right(vyy400), dbe, dbf) → LT
new_esEs5(vyy3000, vyy400, app(ty_[], dch)) → new_esEs14(vyy3000, vyy400, dch)
new_esEs5(vyy3000, vyy400, app(ty_Ratio, dbg)) → new_esEs16(vyy3000, vyy400, dbg)
new_esEs5(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, app(app(ty_@2, dcf), dcg)) → new_esEs22(vyy3000, vyy400, dcf, dcg)
new_esEs5(vyy3000, vyy400, app(app(ty_Either, dcd), dce)) → new_esEs21(vyy3000, vyy400, dcd, dce)
new_esEs5(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, app(ty_Maybe, dcc)) → new_esEs20(vyy3000, vyy400, dcc)
new_esEs5(vyy3000, vyy400, app(app(app(ty_@3, dbh), dca), dcb)) → new_esEs18(vyy3000, vyy400, dbh, dca, dcb)
new_compare25(vyy114, vyy115, True, baf, bag) → EQ
new_compare25(vyy114, vyy115, False, baf, bag) → new_compare16(vyy114, vyy115, new_ltEs19(vyy114, vyy115, baf), baf, bag)
new_ltEs19(vyy114, vyy115, ty_Ordering) → new_ltEs16(vyy114, vyy115)
new_ltEs19(vyy114, vyy115, app(ty_Maybe, bba)) → new_ltEs11(vyy114, vyy115, bba)
new_ltEs19(vyy114, vyy115, app(ty_Ratio, bah)) → new_ltEs5(vyy114, vyy115, bah)
new_ltEs19(vyy114, vyy115, ty_Double) → new_ltEs6(vyy114, vyy115)
new_ltEs19(vyy114, vyy115, ty_Char) → new_ltEs4(vyy114, vyy115)
new_ltEs19(vyy114, vyy115, ty_Float) → new_ltEs15(vyy114, vyy115)
new_ltEs19(vyy114, vyy115, app(app(ty_Either, bbc), bbd)) → new_ltEs13(vyy114, vyy115, bbc, bbd)
new_ltEs19(vyy114, vyy115, ty_Bool) → new_ltEs8(vyy114, vyy115)
new_ltEs19(vyy114, vyy115, app(app(ty_@2, bbe), bbf)) → new_ltEs14(vyy114, vyy115, bbe, bbf)
new_ltEs19(vyy114, vyy115, ty_Int) → new_ltEs10(vyy114, vyy115)
new_ltEs19(vyy114, vyy115, ty_Integer) → new_ltEs18(vyy114, vyy115)
new_ltEs19(vyy114, vyy115, app(ty_[], bbb)) → new_ltEs12(vyy114, vyy115, bbb)
new_ltEs19(vyy114, vyy115, app(app(app(ty_@3, bbg), bbh), bca)) → new_ltEs17(vyy114, vyy115, bbg, bbh, bca)
new_ltEs19(vyy114, vyy115, ty_@0) → new_ltEs9(vyy114, vyy115)
new_compare16(vyy186, vyy187, True, ceb, cec) → LT
new_compare16(vyy186, vyy187, False, ceb, cec) → GT
new_esEs6(vyy3000, vyy400, app(app(ty_Either, ddf), ddg)) → new_esEs21(vyy3000, vyy400, ddf, ddg)
new_esEs6(vyy3000, vyy400, app(ty_[], deb)) → new_esEs14(vyy3000, vyy400, deb)
new_esEs6(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, app(ty_Ratio, dda)) → new_esEs16(vyy3000, vyy400, dda)
new_esEs6(vyy3000, vyy400, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs18(vyy3000, vyy400, ddb, ddc, ddd)
new_esEs6(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, app(app(ty_@2, ddh), dea)) → new_esEs22(vyy3000, vyy400, ddh, dea)
new_esEs6(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, app(ty_Maybe, dde)) → new_esEs20(vyy3000, vyy400, dde)
new_compare210(vyy121, vyy122, True, fad, fae) → EQ
new_compare210(vyy121, vyy122, False, fad, fae) → new_compare111(vyy121, vyy122, new_ltEs23(vyy121, vyy122, fae), fad, fae)
new_ltEs23(vyy121, vyy122, app(ty_Maybe, fag)) → new_ltEs11(vyy121, vyy122, fag)
new_ltEs23(vyy121, vyy122, ty_Char) → new_ltEs4(vyy121, vyy122)
new_ltEs23(vyy121, vyy122, app(app(ty_@2, fbc), fbd)) → new_ltEs14(vyy121, vyy122, fbc, fbd)
new_ltEs23(vyy121, vyy122, ty_Bool) → new_ltEs8(vyy121, vyy122)
new_ltEs23(vyy121, vyy122, app(app(ty_Either, fba), fbb)) → new_ltEs13(vyy121, vyy122, fba, fbb)
new_ltEs23(vyy121, vyy122, ty_Ordering) → new_ltEs16(vyy121, vyy122)
new_ltEs23(vyy121, vyy122, ty_Double) → new_ltEs6(vyy121, vyy122)
new_ltEs23(vyy121, vyy122, ty_Float) → new_ltEs15(vyy121, vyy122)
new_ltEs23(vyy121, vyy122, app(app(app(ty_@3, fbe), fbf), fbg)) → new_ltEs17(vyy121, vyy122, fbe, fbf, fbg)
new_ltEs23(vyy121, vyy122, app(ty_Ratio, faf)) → new_ltEs5(vyy121, vyy122, faf)
new_ltEs23(vyy121, vyy122, ty_@0) → new_ltEs9(vyy121, vyy122)
new_ltEs23(vyy121, vyy122, ty_Int) → new_ltEs10(vyy121, vyy122)
new_ltEs23(vyy121, vyy122, app(ty_[], fah)) → new_ltEs12(vyy121, vyy122, fah)
new_ltEs23(vyy121, vyy122, ty_Integer) → new_ltEs18(vyy121, vyy122)
new_compare111(vyy193, vyy194, False, fbh, fca) → GT
new_compare111(vyy193, vyy194, True, fbh, fca) → LT
new_lt18(vyy156, vyy158) → new_esEs13(new_compare8(vyy156, vyy158), LT)
new_lt13(vyy156, vyy158) → new_esEs13(new_compare7(vyy156, vyy158), LT)
new_lt12(vyy156, vyy158) → new_esEs13(new_compare9(vyy156, vyy158), LT)
new_lt7(vyy156, vyy158) → new_esEs13(new_compare13(vyy156, vyy158), LT)
new_lt5(vyy156, vyy158) → new_esEs13(new_compare11(vyy156, vyy158), LT)
new_compare11(vyy300, vyy40) → new_compare211(vyy300, vyy40, new_esEs13(vyy300, vyy40))
new_compare211(GT, GT, False) → LT
new_compare211(EQ, GT, False) → LT
new_compare211(LT, LT, False) → LT
new_compare211(GT, EQ, False) → GT
new_compare211(EQ, LT, False) → GT
new_compare211(LT, EQ, False) → LT
new_compare211(vyy300, vyy40, True) → EQ
new_compare211(LT, GT, False) → LT
new_compare211(EQ, EQ, False) → LT
new_compare211(GT, LT, False) → GT
new_lt6(vyy156, vyy158) → new_esEs13(new_compare12(vyy156, vyy158), LT)
new_lt11(vyy156, vyy158, eg) → new_esEs13(new_compare6(vyy156, vyy158, eg), LT)
new_foldFM_LE110(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, vyy344, True, h, ba) → new_foldFM_LE3(vyy34, vyy40, vyy41, vyy343, h, ba)
new_foldFM_LE18(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba) → new_foldFM_LE19(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_compare17(vyy3440, :(vyy40, vyy41), h), h, ba)
new_foldFM_LE19(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, vyy101, h, ba) → new_foldFM_LE110(vyy97, vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_esEs13(vyy101, GT), h, ba)
new_foldFM_LE110(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE18(new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE3(vyy34, vyy40, vyy41, vyy343, h, ba), h, ba), vyy40, vyy41, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba)
new_foldFM_LE3(vyy34, vyy40, vyy41, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), h, ba) → new_foldFM_LE18(vyy34, vyy40, vyy41, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_foldFM_LE3(vyy34, vyy40, vyy41, EmptyFM, h, ba) → vyy34
new_fmToList_LE0(vyy340, vyy341, vyy96, h, ba) → :(@2(vyy340, vyy341), vyy96)
new_foldFM_LE110(vyy34, vyy40, vyy41, vyy340, vyy341, vyy342, vyy343, EmptyFM, False, h, ba) → new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE3(vyy34, vyy40, vyy41, vyy343, h, ba), h, ba)

The set Q consists of the following terms:

new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs37(x0, x1, ty_@0)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_@0)
new_esEs21(Right(x0), Right(x1), x2, ty_@0)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_lt20(x0, x1, ty_Ordering)
new_ltEs14(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1)
new_lt20(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Float)
new_compare110(x0, x1, True, x2)
new_esEs15(x0, x1, ty_Ordering)
new_compare112(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs32(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs36(x0, x1, ty_Float)
new_esEs37(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs37(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Char)
new_ltEs23(x0, x1, app(ty_[], x2))
new_esEs36(x0, x1, ty_@0)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_esEs37(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Integer)
new_ltEs11(Just(x0), Just(x1), ty_Char)
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(Right(x0), Right(x1), x2, ty_Double)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare14(x0, x1, x2, x3, False, x4, x5, x6)
new_primEqNat0(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Char)
new_lt22(x0, x1, ty_@0)
new_esEs37(x0, x1, app(ty_Ratio, x2))
new_foldFM_LE3(x0, x1, x2, EmptyFM, x3, x4)
new_esEs20(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Int)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Char)
new_compare6(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs20(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Int)
new_lt5(x0, x1)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_ltEs21(x0, x1, ty_Float)
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Right(x1), x2, x3)
new_esEs21(Right(x0), Left(x1), x2, x3)
new_esEs34(x0, x1, ty_Double)
new_esEs17(Char(x0), Char(x1))
new_compare30(Right(x0), Right(x1), x2, x3)
new_primMulNat0(Succ(x0), Zero)
new_lt22(x0, x1, ty_Ordering)
new_esEs38(x0, x1, ty_Int)
new_esEs37(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, app(ty_[], x2))
new_ltEs23(x0, x1, ty_Integer)
new_compare14(x0, x1, x2, x3, True, x4, x5, x6)
new_compare0(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Char)
new_ltEs11(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux00(x0, x1, EQ, ty_Char)
new_esEs15(x0, x1, ty_Float)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs34(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, ty_Double)
new_esEs34(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Float)
new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs35(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, x1, EQ, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_foldFM_LE19(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_primCompAux00(x0, x1, EQ, ty_Int)
new_esEs7(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_primCompAux00(x0, x1, EQ, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Char)
new_primMulNat0(Zero, Zero)
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Float)
new_lt6(x0, x1)
new_lt23(x0, x1, ty_@0)
new_esEs21(Left(x0), Left(x1), ty_@0, x2)
new_primCmpNat1(Succ(x0), x1)
new_lt14(x0, x1, x2)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(x0, x1, app(ty_[], x2))
new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs11(x0, x1, ty_Double)
new_esEs5(x0, x1, ty_Int)
new_ltEs11(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Bool)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs21(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat2(x0, Zero)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt23(x0, x1, ty_Integer)
new_compare111(x0, x1, True, x2, x3)
new_esEs38(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs36(x0, x1, ty_Bool)
new_esEs20(Just(x0), Just(x1), ty_Bool)
new_esEs30(x0, x1, ty_Char)
new_esEs21(Left(x0), Left(x1), ty_Bool, x2)
new_esEs10(x0, x1, ty_Float)
new_esEs24(@0, @0)
new_lt23(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Int)
new_lt21(x0, x1, ty_Integer)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, ty_Ordering)
new_primPlusNat1(Succ(x0), Zero)
new_compare211(LT, LT, False)
new_esEs39(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_esEs35(x0, x1, ty_Bool)
new_compare0(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_compare18(x0, x1, x2, x3, False, x4, x5)
new_esEs11(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1, ty_Int)
new_esEs26(Integer(x0), Integer(x1))
new_compare0(x0, x1, ty_Float)
new_ltEs16(EQ, EQ)
new_ltEs20(x0, x1, ty_Char)
new_esEs35(x0, x1, ty_Char)
new_lt8(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, x1, EQ, ty_Double)
new_ltEs23(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs39(x0, x1, ty_Char)
new_ltEs16(LT, LT)
new_primCompAux00(x0, x1, EQ, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Left(x1), ty_Integer, x2)
new_esEs21(Right(x0), Right(x1), x2, ty_Integer)
new_compare17([], :(x0, x1), x2)
new_ltEs20(x0, x1, ty_@0)
new_ltEs11(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, ty_Ordering)
new_compare0(x0, x1, ty_Char)
new_esEs20(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primEqNat0(Succ(x0), Succ(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare211(LT, EQ, False)
new_compare211(EQ, LT, False)
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Zero, Succ(x0))
new_esEs20(Just(x0), Nothing, x1)
new_compare211(GT, GT, False)
new_fmToList_LE0(x0, x1, x2, x3, x4)
new_lt8(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_compare29(x0, x1, True, x2)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, ty_Bool)
new_fsEs(x0)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs4(x0, x1, ty_@0)
new_lt8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt23(x0, x1, ty_Double)
new_esEs33(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs15(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Ordering)
new_compare16(x0, x1, False, x2, x3)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(Nothing, Nothing, x0)
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs16(GT, GT)
new_esEs6(x0, x1, ty_Int)
new_ltEs7(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs34(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_@0)
new_primPlusNat0(Zero, x0)
new_esEs37(x0, x1, ty_Int)
new_esEs35(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Bool)
new_esEs15(x0, x1, ty_Integer)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt22(x0, x1, app(ty_Ratio, x2))
new_esEs38(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Integer)
new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs24(x0, x1, ty_Float)
new_compare211(EQ, EQ, False)
new_esEs9(x0, x1, app(ty_[], x2))
new_ltEs11(Just(x0), Just(x1), ty_Integer)
new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_esEs21(Left(x0), Left(x1), ty_Double, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs4(x0, x1, ty_Integer)
new_esEs37(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Char)
new_primCompAux00(x0, x1, LT, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, ty_Char)
new_esEs7(x0, x1, ty_Ordering)
new_esEs13(LT, LT)
new_ltEs19(x0, x1, ty_Bool)
new_lt15(x0, x1, x2)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_[], x2))
new_esEs12(True, False)
new_esEs12(False, True)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs21(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs15(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, x2, x3, False, x4, x5)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs5(x0, x1, x2)
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs15(x0, x1, ty_Bool)
new_compare19(x0, x1, x2, x3, x4, x5, False, x6, x7, x8, x9)
new_esEs6(x0, x1, app(ty_[], x2))
new_esEs20(Just(x0), Just(x1), ty_Int)
new_esEs21(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_lt8(x0, x1, ty_Ordering)
new_esEs15(x0, x1, ty_Char)
new_ltEs10(x0, x1)
new_compare6(:%(x0, x1), :%(x2, x3), ty_Integer)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, ty_Float)
new_not(True)
new_esEs37(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_Integer)
new_ltEs16(GT, EQ)
new_ltEs16(EQ, GT)
new_esEs7(x0, x1, ty_Bool)
new_esEs38(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs31(x0, x1, ty_Int)
new_not(False)
new_lt21(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Double)
new_ltEs16(EQ, LT)
new_ltEs16(LT, EQ)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs11(Just(x0), Just(x1), ty_Bool)
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_lt9(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_compare211(x0, x1, True)
new_ltEs6(x0, x1)
new_esEs6(x0, x1, ty_Ordering)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Bool)
new_ltEs7(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Integer)
new_lt8(x0, x1, ty_Char)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_ltEs23(x0, x1, ty_Bool)
new_esEs33(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Char)
new_ltEs23(x0, x1, ty_Double)
new_compare17(:(x0, x1), :(x2, x3), x4)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs32(x0, x1, ty_@0)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs38(x0, x1, app(app(ty_Either, x2), x3))
new_compare0(x0, x1, app(app(ty_@2, x2), x3))
new_lt8(x0, x1, ty_Float)
new_compare27(@0, @0)
new_esEs6(x0, x1, ty_Char)
new_ltEs18(x0, x1)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs39(x0, x1, ty_@0)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_sr0(Integer(x0), Integer(x1))
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, app(app(ty_@2, x2), x3))
new_esEs20(Just(x0), Just(x1), ty_Float)
new_lt20(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs11(Just(x0), Nothing, x1)
new_compare19(x0, x1, x2, x3, x4, x5, True, x6, x7, x8, x9)
new_esEs29(x0, x1, ty_Ordering)
new_compare0(x0, x1, app(ty_[], x2))
new_ltEs7(x0, x1, app(ty_Ratio, x2))
new_lt13(x0, x1)
new_primCompAux00(x0, x1, GT, x2)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_Double)
new_esEs37(x0, x1, ty_Double)
new_pePe(False, x0)
new_esEs36(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs36(x0, x1, ty_Char)
new_ltEs7(x0, x1, ty_Int)
new_esEs38(x0, x1, ty_Float)
new_lt23(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_compare31(Just(x0), Just(x1), x2)
new_esEs32(x0, x1, ty_Float)
new_esEs15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Char)
new_esEs38(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Float)
new_compare0(x0, x1, ty_Ordering)
new_esEs15(x0, x1, ty_Int)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs38(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_esEs22(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare0(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs19(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs21(Left(x0), Left(x1), ty_Float, x2)
new_lt8(x0, x1, app(ty_Maybe, x2))
new_compare13(Float(x0, x1), Float(x2, x3))
new_ltEs24(x0, x1, ty_@0)
new_esEs7(x0, x1, ty_Int)
new_esEs12(False, False)
new_lt17(x0, x1, x2, x3)
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt10(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs14([], :(x0, x1), x2)
new_lt8(x0, x1, ty_Integer)
new_esEs13(GT, GT)
new_ltEs7(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_[], x2))
new_compare7(x0, x1)
new_esEs39(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(x0, x1, app(ty_[], x2))
new_esEs37(x0, x1, ty_Char)
new_lt12(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs7(x0, x1, ty_Float)
new_esEs33(x0, x1, ty_Bool)
new_lt19(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_esEs20(Just(x0), Just(x1), ty_Integer)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare110(x0, x1, False, x2)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13)
new_esEs9(x0, x1, ty_@0)
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Bool)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs7(x0, x1, ty_Integer)
new_ltEs8(True, True)
new_ltEs23(x0, x1, ty_@0)
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(Left(x0), Left(x1), ty_Int, x2)
new_esEs31(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_compare26(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs39(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs20(Just(x0), Just(x1), ty_Double)
new_ltEs23(x0, x1, ty_Char)
new_ltEs23(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare9(Char(x0), Char(x1))
new_esEs7(x0, x1, ty_Double)
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, ty_Double)
new_esEs20(Just(x0), Just(x1), ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs8(x0, x1, ty_@0)
new_primCompAux1(x0, x1, x2, x3, x4)
new_esEs31(x0, x1, ty_Bool)
new_esEs15(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_asAs(False, x0)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_ltEs7(x0, x1, ty_Ordering)
new_esEs8(x0, x1, ty_Int)
new_lt8(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs18(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs8(x0, x1, ty_Ordering)
new_compare26(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs11(Nothing, Just(x0), x1)
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_@0)
new_compare28(True, True)
new_ltEs4(x0, x1)
new_ltEs11(Just(x0), Just(x1), ty_Int)
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt21(x0, x1, ty_Float)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, ty_Integer)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Ordering)
new_lt11(x0, x1, x2)
new_compare17(:(x0, x1), [], x2)
new_esEs38(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_@0)
new_primCompAux00(x0, x1, EQ, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, ty_Int)
new_lt16(x0, x1, x2, x3)
new_esEs21(Left(x0), Left(x1), ty_Char, x2)
new_ltEs20(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Double)
new_compare211(GT, EQ, False)
new_compare211(EQ, GT, False)
new_primCmpNat2(x0, Succ(x1))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_@0)
new_esEs23(Double(x0, x1), Double(x2, x3))
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Double)
new_esEs13(EQ, EQ)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs33(x0, x1, ty_Char)
new_primPlusNat0(Succ(x0), x1)
new_compare211(LT, GT, False)
new_compare211(GT, LT, False)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs7(x0, x1, ty_Char)
new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, ty_Char)
new_ltEs11(Just(x0), Just(x1), ty_Double)
new_esEs10(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Int)
new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(:(x0, x1), [], x2)
new_esEs25(Float(x0, x1), Float(x2, x3))
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, app(ty_[], x2))
new_esEs37(x0, x1, ty_Integer)
new_lt23(x0, x1, ty_Bool)
new_lt18(x0, x1)
new_esEs39(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_Double)
new_esEs20(Nothing, Just(x0), x1)
new_esEs29(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_esEs10(x0, x1, ty_Double)
new_primMulNat0(Zero, Succ(x0))
new_compare0(x0, x1, ty_Int)
new_esEs37(x0, x1, app(ty_Maybe, x2))
new_primCompAux00(x0, x1, EQ, ty_Bool)
new_esEs33(x0, x1, app(ty_[], x2))
new_compare0(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_pePe(True, x0)
new_compare28(False, False)
new_lt20(x0, x1, ty_@0)
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_compare25(x0, x1, True, x2, x3)
new_lt4(x0, x1, x2, x3, x4)
new_esEs10(x0, x1, ty_Ordering)
new_compare17([], [], x0)
new_esEs39(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Bool)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(LT, GT)
new_ltEs16(GT, LT)
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_ltEs11(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Bool)
new_esEs21(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs12(True, True)
new_ltEs8(False, False)
new_esEs38(x0, x1, ty_Double)
new_compare31(Nothing, Nothing, x0)
new_compare18(x0, x1, x2, x3, True, x4, x5)
new_compare0(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_compare112(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs34(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs8(False, True)
new_ltEs8(True, False)
new_compare28(True, False)
new_compare28(False, True)
new_lt21(x0, x1, ty_Int)
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs15(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Integer)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare29(x0, x1, False, x2)
new_lt20(x0, x1, ty_Float)
new_compare31(Just(x0), Nothing, x1)
new_esEs4(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_ltEs11(Just(x0), Just(x1), app(ty_[], x2))
new_esEs21(Right(x0), Right(x1), x2, ty_Char)
new_sr(x0, x1)
new_esEs20(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs21(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs10(x0, x1, ty_Bool)
new_esEs15(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False, x2, x3)
new_esEs7(x0, x1, ty_@0)
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux00(x0, x1, EQ, app(ty_[], x2))
new_esEs4(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs38(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Int)
new_lt7(x0, x1)
new_esEs20(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare11(x0, x1)
new_compare0(x0, x1, ty_Bool)
new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9)
new_esEs21(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs7(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, ty_Double)
new_compare16(x0, x1, True, x2, x3)
new_esEs34(x0, x1, ty_Char)
new_esEs14([], [], x0)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs22(x0, x1, ty_Ordering)
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(Right(x0), Right(x1), x2, ty_Int)
new_esEs20(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs37(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs11(Just(x0), Just(x1), ty_@0)
new_primCmpNat1(Zero, x0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs34(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, ty_Int)
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(Right(x0), Right(x1), x2, ty_Float)
new_compare0(x0, x1, ty_@0)
new_primCmpNat0(Zero, Zero)
new_foldFM_LE18(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_esEs8(x0, x1, ty_Bool)
new_foldFM_LE3(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_primCompAux00(x0, x1, EQ, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_Char)
new_ltEs12(x0, x1, x2)
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Int)
new_esEs33(x0, x1, ty_Int)
new_lt8(x0, x1, ty_Double)
new_ltEs22(x0, x1, ty_Float)
new_esEs10(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1, ty_Double)
new_compare8(Integer(x0), Integer(x1))
new_esEs38(x0, x1, app(ty_Maybe, x2))
new_esEs6(x0, x1, ty_Float)
new_ltEs22(x0, x1, ty_Integer)
new_compare12(Double(x0, x1), Double(x2, x3))
new_lt8(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Char)
new_primCmpNat0(Succ(x0), Succ(x1))
new_compare30(Left(x0), Left(x1), x2, x3)
new_ltEs15(x0, x1)
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs4(x0, x1, ty_Int)
new_asAs(True, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs39(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(x0, x1, ty_Char)
new_esEs5(x0, x1, ty_Float)
new_esEs35(x0, x1, ty_Float)
new_ltEs24(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, ty_Float)
new_lt22(x0, x1, ty_Integer)
new_esEs31(x0, x1, app(ty_[], x2))
new_primCompAux00(x0, x1, EQ, ty_@0)
new_compare31(Nothing, Just(x0), x1)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs38(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_lt23(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, app(ty_[], x2))
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_esEs7(x0, x1, ty_Char)
new_ltEs11(Nothing, Nothing, x0)
new_esEs29(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Double)
new_ltEs11(Just(x0), Just(x1), ty_Float)
new_compare25(x0, x1, False, x2, x3)
new_lt21(x0, x1, ty_Double)
new_lt22(x0, x1, ty_Char)
new_compare10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, ty_Integer)
new_esEs21(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs24(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_compare24(x0, x1, x2, x3, True, x4, x5)
new_ltEs22(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_lt8(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Double)
new_ltEs11(Just(x0), Just(x1), ty_Ordering)
new_lt21(x0, x1, ty_Bool)
new_compare0(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, app(ty_Maybe, x2))
new_lt8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_Char)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs23(x0, x1, ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs9(x0, x1)
new_esEs20(Just(x0), Just(x1), ty_Char)
new_esEs5(x0, x1, ty_Bool)
new_compare30(Right(x0), Left(x1), x2, x3)
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_compare30(Left(x0), Right(x1), x2, x3)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Integer)
new_lt19(x0, x1, ty_Float)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs9(x0, x1, ty_Double)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_lt22(x0, x1, ty_Bool)
new_esEs38(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Int)
new_ltEs11(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt21(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Integer)
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_Double)
new_ltEs24(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Double)
new_ltEs22(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs39(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_@0)
new_esEs35(x0, x1, ty_Integer)

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
                                    ↳ UsableRulesProof
                                  ↳ QDP
                                  ↳ QDP

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

new_foldFM_LE10(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, vyy102, h, ba) → new_foldFM_LE11(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_esEs13(vyy102, GT), h, ba)
new_foldFM_LE11(vyy36, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE1(new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE0(vyy36, vyy343, h, ba), h, ba), vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba)
new_foldFM_LE11(vyy36, vyy340, vyy341, vyy342, vyy343, EmptyFM, False, h, ba) → new_foldFM_LE(vyy36, vyy343, h, ba)
new_foldFM_LE1(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba) → new_foldFM_LE10(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_compare17(vyy3440, [], h), h, ba)
new_foldFM_LE11(vyy36, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE(vyy36, vyy343, h, ba)
new_foldFM_LE(vyy36, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), h, ba) → new_foldFM_LE1(vyy36, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_foldFM_LE11(vyy36, vyy340, vyy341, vyy342, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), vyy344, True, h, ba) → new_foldFM_LE1(vyy36, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)

The TRS R consists of the following rules:

new_esEs38(vyy30000, vyy4000, app(ty_[], egg)) → new_esEs14(vyy30000, vyy4000, egg)
new_esEs8(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_lt21(vyy1070, vyy1080, ty_Bool) → new_lt9(vyy1070, vyy1080)
new_compare18(vyy206, vyy207, vyy208, vyy209, True, bde, bdf) → LT
new_ltEs19(vyy114, vyy115, ty_Ordering) → new_ltEs16(vyy114, vyy115)
new_esEs32(vyy30002, vyy4002, ty_Int) → new_esEs19(vyy30002, vyy4002)
new_ltEs8(False, True) → True
new_esEs31(vyy143, vyy146, ty_Ordering) → new_esEs13(vyy143, vyy146)
new_primCmpNat2(vyy30000, Succ(vyy4000)) → new_primCmpNat0(vyy30000, vyy4000)
new_compare8(Integer(vyy3000), Integer(vyy400)) → new_primCmpInt(vyy3000, vyy400)
new_ltEs7(vyy157, vyy159, app(app(ty_@2, eb), ec)) → new_ltEs14(vyy157, vyy159, eb, ec)
new_esEs4(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_lt19(vyy143, vyy146, ty_Integer) → new_lt18(vyy143, vyy146)
new_compare211(GT, GT, False) → LT
new_esEs5(vyy3000, vyy400, app(ty_[], dch)) → new_esEs14(vyy3000, vyy400, dch)
new_esEs32(vyy30002, vyy4002, ty_Integer) → new_esEs26(vyy30002, vyy4002)
new_esEs11(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_lt8(vyy156, vyy158, app(ty_Ratio, eg)) → new_lt11(vyy156, vyy158, eg)
new_ltEs23(vyy121, vyy122, app(ty_Maybe, fag)) → new_ltEs11(vyy121, vyy122, fag)
new_compare26(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, True, bdg, bdh, bea) → EQ
new_esEs31(vyy143, vyy146, ty_Double) → new_esEs23(vyy143, vyy146)
new_esEs30(vyy144, vyy147, app(ty_[], bff)) → new_esEs14(vyy144, vyy147, bff)
new_ltEs19(vyy114, vyy115, app(ty_Maybe, bba)) → new_ltEs11(vyy114, vyy115, bba)
new_ltEs19(vyy114, vyy115, app(ty_Ratio, bah)) → new_ltEs5(vyy114, vyy115, bah)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_foldFM_LE13(vyy36, vyy340, vyy341, vyy342, vyy343, vyy344, True, h, ba) → new_foldFM_LE0(vyy36, vyy343, h, ba)
new_esEs25(Float(vyy30000, vyy30001), Float(vyy4000, vyy4001)) → new_esEs19(new_sr(vyy30000, vyy4000), new_sr(vyy30001, vyy4001))
new_esEs12(True, True) → True
new_ltEs24(vyy1071, vyy1081, app(ty_[], fgg)) → new_ltEs12(vyy1071, vyy1081, fgg)
new_esEs36(vyy1070, vyy1080, ty_@0) → new_esEs24(vyy1070, vyy1080)
new_ltEs21(vyy107, vyy108, app(app(app(ty_@3, cfa), cfb), cfc)) → new_ltEs17(vyy107, vyy108, cfa, cfb, cfc)
new_compare0(vyy300, vyy40, ty_Int) → new_compare7(vyy300, vyy40)
new_lt20(vyy144, vyy147, ty_Integer) → new_lt18(vyy144, vyy147)
new_ltEs4(vyy107, vyy108) → new_fsEs(new_compare9(vyy107, vyy108))
new_ltEs24(vyy1071, vyy1081, app(app(ty_@2, fhb), fhc)) → new_ltEs14(vyy1071, vyy1081, fhb, fhc)
new_ltEs22(vyy1072, vyy1082, ty_Float) → new_ltEs15(vyy1072, vyy1082)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Char) → new_esEs17(vyy30000, vyy4000)
new_lt20(vyy144, vyy147, app(app(app(ty_@3, bgc), bgd), bge)) → new_lt4(vyy144, vyy147, bgc, bgd, bge)
new_esEs33(vyy30001, vyy4001, app(app(app(ty_@3, chb), chc), chd)) → new_esEs18(vyy30001, vyy4001, chb, chc, chd)
new_ltEs22(vyy1072, vyy1082, app(app(ty_Either, eae), eaf)) → new_ltEs13(vyy1072, vyy1082, eae, eaf)
new_lt21(vyy1070, vyy1080, ty_Float) → new_lt7(vyy1070, vyy1080)
new_ltEs23(vyy121, vyy122, ty_Char) → new_ltEs4(vyy121, vyy122)
new_ltEs19(vyy114, vyy115, ty_Double) → new_ltEs6(vyy114, vyy115)
new_esEs8(vyy3000, vyy400, app(app(ty_Either, hh), baa)) → new_esEs21(vyy3000, vyy400, hh, baa)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Float, cef) → new_ltEs15(vyy1070, vyy1080)
new_esEs29(vyy156, vyy158, ty_@0) → new_esEs24(vyy156, vyy158)
new_esEs4(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, app(ty_Ratio, dbg)) → new_esEs16(vyy3000, vyy400, dbg)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs31(vyy143, vyy146, ty_Char) → new_esEs17(vyy143, vyy146)
new_esEs11(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs15(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs15(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_ltEs14(@2(vyy1070, vyy1071), @2(vyy1080, vyy1081), ceg, ceh) → new_pePe(new_lt23(vyy1070, vyy1080, ceg), new_asAs(new_esEs39(vyy1070, vyy1080, ceg), new_ltEs24(vyy1071, vyy1081, ceh)))
new_ltEs23(vyy121, vyy122, app(app(ty_@2, fbc), fbd)) → new_ltEs14(vyy121, vyy122, fbc, fbd)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Ordering) → new_ltEs16(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, ty_Double) → new_compare12(vyy300, vyy40)
new_esEs33(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_esEs5(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_ltEs20(vyy145, vyy148, app(ty_Maybe, bgg)) → new_ltEs11(vyy145, vyy148, bgg)
new_lt22(vyy1071, vyy1081, ty_Ordering) → new_lt5(vyy1071, vyy1081)
new_compare30(Right(vyy3000), Left(vyy400), dbe, dbf) → GT
new_lt23(vyy1070, vyy1080, ty_Bool) → new_lt9(vyy1070, vyy1080)
new_esEs34(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, app(app(ty_Either, dah), dba)) → new_esEs21(vyy30000, vyy4000, dah, dba)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_Ratio, fcf), cef) → new_ltEs5(vyy1070, vyy1080, fcf)
new_esEs15(vyy30000, vyy4000, app(app(app(ty_@3, bg), bh), ca)) → new_esEs18(vyy30000, vyy4000, bg, bh, ca)
new_pePe(False, vyy235) → vyy235
new_esEs13(EQ, LT) → False
new_esEs13(LT, EQ) → False
new_primCompAux00(vyy92, vyy93, EQ, app(app(ty_@2, dfa), dfb)) → new_compare15(vyy92, vyy93, dfa, dfb)
new_lt22(vyy1071, vyy1081, ty_Double) → new_lt6(vyy1071, vyy1081)
new_esEs37(vyy30001, vyy4001, app(ty_Ratio, eed)) → new_esEs16(vyy30001, vyy4001, eed)
new_esEs29(vyy156, vyy158, app(ty_[], fa)) → new_esEs14(vyy156, vyy158, fa)
new_compare211(EQ, GT, False) → LT
new_esEs36(vyy1070, vyy1080, ty_Double) → new_esEs23(vyy1070, vyy1080)
new_compare17(:(vyy3000, vyy3001), :(vyy400, vyy401), bae) → new_primCompAux1(vyy3000, vyy400, vyy3001, vyy401, bae)
new_esEs29(vyy156, vyy158, app(app(ty_Either, fb), fc)) → new_esEs21(vyy156, vyy158, fb, fc)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(app(ty_@3, feg), feh), ffa)) → new_ltEs17(vyy1070, vyy1080, feg, feh, ffa)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs38(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs10(vyy3001, vyy401, ty_Char) → new_esEs17(vyy3001, vyy401)
new_esEs29(vyy156, vyy158, app(app(ty_@2, fd), ff)) → new_esEs22(vyy156, vyy158, fd, ff)
new_esEs15(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_ltEs22(vyy1072, vyy1082, ty_Ordering) → new_ltEs16(vyy1072, vyy1082)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(ty_@2, fee), fef)) → new_ltEs14(vyy1070, vyy1080, fee, fef)
new_ltEs20(vyy145, vyy148, app(ty_[], bgh)) → new_ltEs12(vyy145, vyy148, bgh)
new_ltEs19(vyy114, vyy115, ty_Char) → new_ltEs4(vyy114, vyy115)
new_esEs27(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_primCmpInt(Neg(Succ(vyy30000)), Neg(vyy400)) → new_primCmpNat1(vyy400, vyy30000)
new_ltEs19(vyy114, vyy115, ty_Float) → new_ltEs15(vyy114, vyy115)
new_esEs10(vyy3001, vyy401, app(app(ty_@2, cce), ccf)) → new_esEs22(vyy3001, vyy401, cce, ccf)
new_esEs10(vyy3001, vyy401, ty_Float) → new_esEs25(vyy3001, vyy401)
new_esEs36(vyy1070, vyy1080, app(ty_Ratio, dff)) → new_esEs16(vyy1070, vyy1080, dff)
new_esEs7(vyy3001, vyy401, ty_Ordering) → new_esEs13(vyy3001, vyy401)
new_esEs37(vyy30001, vyy4001, ty_Float) → new_esEs25(vyy30001, vyy4001)
new_esEs35(vyy1071, vyy1081, app(app(ty_@2, dhe), dhf)) → new_esEs22(vyy1071, vyy1081, dhe, dhf)
new_compare0(vyy300, vyy40, app(app(app(ty_@3, caa), cab), cac)) → new_compare10(vyy300, vyy40, caa, cab, cac)
new_lt21(vyy1070, vyy1080, app(app(ty_@2, dgc), dgd)) → new_lt17(vyy1070, vyy1080, dgc, dgd)
new_primCompAux00(vyy92, vyy93, EQ, app(ty_[], def)) → new_compare17(vyy92, vyy93, def)
new_esEs36(vyy1070, vyy1080, app(app(app(ty_@3, dge), dgf), dgg)) → new_esEs18(vyy1070, vyy1080, dge, dgf, dgg)
new_compare14(vyy206, vyy207, vyy208, vyy209, True, vyy211, bde, bdf) → new_compare18(vyy206, vyy207, vyy208, vyy209, True, bde, bdf)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Bool) → new_ltEs8(vyy1070, vyy1080)
new_lt8(vyy156, vyy158, app(app(ty_@2, fd), ff)) → new_lt17(vyy156, vyy158, fd, ff)
new_compare211(LT, LT, False) → LT
new_pePe(True, vyy235) → True
new_primEqNat0(Zero, Zero) → True
new_lt21(vyy1070, vyy1080, app(app(ty_Either, dga), dgb)) → new_lt16(vyy1070, vyy1080, dga, dgb)
new_esEs10(vyy3001, vyy401, app(app(ty_Either, ccc), ccd)) → new_esEs21(vyy3001, vyy401, ccc, ccd)
new_esEs5(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs29(vyy156, vyy158, ty_Ordering) → new_esEs13(vyy156, vyy158)
new_esEs13(GT, LT) → False
new_esEs13(LT, GT) → False
new_lt23(vyy1070, vyy1080, app(ty_Ratio, ffc)) → new_lt11(vyy1070, vyy1080, ffc)
new_esEs6(vyy3000, vyy400, app(app(ty_Either, ddf), ddg)) → new_esEs21(vyy3000, vyy400, ddf, ddg)
new_esEs39(vyy1070, vyy1080, ty_Ordering) → new_esEs13(vyy1070, vyy1080)
new_esEs6(vyy3000, vyy400, app(ty_[], deb)) → new_esEs14(vyy3000, vyy400, deb)
new_ltEs16(EQ, LT) → False
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Float, ebe) → new_esEs25(vyy30000, vyy4000)
new_ltEs7(vyy157, vyy159, ty_Integer) → new_ltEs18(vyy157, vyy159)
new_ltEs16(GT, EQ) → False
new_esEs36(vyy1070, vyy1080, ty_Integer) → new_esEs26(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Integer, cef) → new_ltEs18(vyy1070, vyy1080)
new_ltEs17(@3(vyy1070, vyy1071, vyy1072), @3(vyy1080, vyy1081, vyy1082), cfa, cfb, cfc) → new_pePe(new_lt21(vyy1070, vyy1080, cfa), new_asAs(new_esEs36(vyy1070, vyy1080, cfa), new_pePe(new_lt22(vyy1071, vyy1081, cfb), new_asAs(new_esEs35(vyy1071, vyy1081, cfb), new_ltEs22(vyy1072, vyy1082, cfc)))))
new_esEs39(vyy1070, vyy1080, ty_Integer) → new_esEs26(vyy1070, vyy1080)
new_primCompAux00(vyy92, vyy93, EQ, ty_Ordering) → new_compare11(vyy92, vyy93)
new_primPlusNat0(Succ(vyy2360), vyy300100) → Succ(Succ(new_primPlusNat1(vyy2360, vyy300100)))
new_esEs11(vyy3000, vyy400, app(ty_Maybe, cdd)) → new_esEs20(vyy3000, vyy400, cdd)
new_compare0(vyy300, vyy40, app(ty_Ratio, fce)) → new_compare6(vyy300, vyy40, fce)
new_esEs15(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_esEs6(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_primCompAux00(vyy92, vyy93, EQ, app(ty_Ratio, ded)) → new_compare6(vyy92, vyy93, ded)
new_primEqInt(Neg(Succ(vyy300000)), Neg(Succ(vyy40000))) → new_primEqNat0(vyy300000, vyy40000)
new_lt20(vyy144, vyy147, app(ty_Ratio, bfd)) → new_lt11(vyy144, vyy147, bfd)
new_ltEs7(vyy157, vyy159, ty_Bool) → new_ltEs8(vyy157, vyy159)
new_primPlusNat1(Succ(vyy23600), Zero) → Succ(vyy23600)
new_primPlusNat1(Zero, Succ(vyy3001000)) → Succ(vyy3001000)
new_compare15(@2(vyy3000, vyy3001), @2(vyy400, vyy401), fg, fh) → new_compare24(vyy3000, vyy3001, vyy400, vyy401, new_asAs(new_esEs8(vyy3000, vyy400, fg), new_esEs7(vyy3001, vyy401, fh)), fg, fh)
new_ltEs22(vyy1072, vyy1082, ty_Integer) → new_ltEs18(vyy1072, vyy1082)
new_esEs8(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_Maybe, eca), ebe) → new_esEs20(vyy30000, vyy4000, eca)
new_esEs9(vyy3002, vyy402, app(ty_[], cbe)) → new_esEs14(vyy3002, vyy402, cbe)
new_primCmpNat1(Zero, vyy30000) → LT
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs36(vyy1070, vyy1080, app(ty_Maybe, dfg)) → new_esEs20(vyy1070, vyy1080, dfg)
new_compare31(Just(vyy3000), Nothing, egh) → GT
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Integer, ebe) → new_esEs26(vyy30000, vyy4000)
new_ltEs21(vyy107, vyy108, app(ty_Maybe, bcb)) → new_ltEs11(vyy107, vyy108, bcb)
new_lt8(vyy156, vyy158, app(ty_Maybe, eh)) → new_lt14(vyy156, vyy158, eh)
new_lt19(vyy143, vyy146, ty_Char) → new_lt12(vyy143, vyy146)
new_lt8(vyy156, vyy158, ty_@0) → new_lt10(vyy156, vyy158)
new_ltEs21(vyy107, vyy108, ty_Int) → new_ltEs10(vyy107, vyy108)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_Ratio, fdh)) → new_ltEs5(vyy1070, vyy1080, fdh)
new_esEs10(vyy3001, vyy401, ty_Ordering) → new_esEs13(vyy3001, vyy401)
new_ltEs24(vyy1071, vyy1081, ty_Bool) → new_ltEs8(vyy1071, vyy1081)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(app(ty_@3, eda), edb), edc)) → new_esEs18(vyy30000, vyy4000, eda, edb, edc)
new_lt12(vyy156, vyy158) → new_esEs13(new_compare9(vyy156, vyy158), LT)
new_compare30(Right(vyy3000), Right(vyy400), dbe, dbf) → new_compare210(vyy3000, vyy400, new_esEs6(vyy3000, vyy400, dbf), dbe, dbf)
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCompAux00(vyy92, vyy93, EQ, ty_Float) → new_compare13(vyy92, vyy93)
new_esEs38(vyy30000, vyy4000, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_lt8(vyy156, vyy158, app(ty_[], fa)) → new_lt15(vyy156, vyy158, fa)
new_lt19(vyy143, vyy146, app(app(ty_Either, bee), bef)) → new_lt16(vyy143, vyy146, bee, bef)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Int) → new_ltEs10(vyy1070, vyy1080)
new_primEqInt(Pos(Succ(vyy300000)), Pos(Succ(vyy40000))) → new_primEqNat0(vyy300000, vyy40000)
new_esEs39(vyy1070, vyy1080, app(ty_Maybe, ffd)) → new_esEs20(vyy1070, vyy1080, ffd)
new_esEs35(vyy1071, vyy1081, ty_Double) → new_esEs23(vyy1071, vyy1081)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(ty_Either, bcf), bcg)) → new_ltEs13(vyy1070, vyy1080, bcf, bcg)
new_compare6(:%(vyy3000, vyy3001), :%(vyy400, vyy401), ty_Int) → new_compare7(new_sr(vyy3000, vyy401), new_sr(vyy400, vyy3001))
new_esEs18(@3(vyy30000, vyy30001, vyy30002), @3(vyy4000, vyy4001, vyy4002), cfd, cfe, cff) → new_asAs(new_esEs34(vyy30000, vyy4000, cfd), new_asAs(new_esEs33(vyy30001, vyy4001, cfe), new_esEs32(vyy30002, vyy4002, cff)))
new_primEqNat0(Succ(vyy3000000), Succ(vyy400000)) → new_primEqNat0(vyy3000000, vyy400000)
new_ltEs23(vyy121, vyy122, ty_Bool) → new_ltEs8(vyy121, vyy122)
new_ltEs24(vyy1071, vyy1081, ty_Float) → new_ltEs15(vyy1071, vyy1081)
new_esEs33(vyy30001, vyy4001, app(ty_[], dab)) → new_esEs14(vyy30001, vyy4001, dab)
new_ltEs19(vyy114, vyy115, app(app(ty_Either, bbc), bbd)) → new_ltEs13(vyy114, vyy115, bbc, bbd)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs9(vyy3002, vyy402, ty_Char) → new_esEs17(vyy3002, vyy402)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Double) → new_esEs23(vyy30000, vyy4000)
new_lt23(vyy1070, vyy1080, app(app(ty_Either, fff), ffg)) → new_lt16(vyy1070, vyy1080, fff, ffg)
new_ltEs19(vyy114, vyy115, ty_Bool) → new_ltEs8(vyy114, vyy115)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_Maybe, fcg), cef) → new_ltEs11(vyy1070, vyy1080, fcg)
new_lt6(vyy156, vyy158) → new_esEs13(new_compare12(vyy156, vyy158), LT)
new_esEs30(vyy144, vyy147, ty_Ordering) → new_esEs13(vyy144, vyy147)
new_esEs30(vyy144, vyy147, app(app(app(ty_@3, bgc), bgd), bge)) → new_esEs18(vyy144, vyy147, bgc, bgd, bge)
new_esEs30(vyy144, vyy147, app(app(ty_Either, bfg), bfh)) → new_esEs21(vyy144, vyy147, bfg, bfh)
new_esEs35(vyy1071, vyy1081, ty_Bool) → new_esEs12(vyy1071, vyy1081)
new_esEs32(vyy30002, vyy4002, app(app(ty_Either, cgd), cge)) → new_esEs21(vyy30002, vyy4002, cgd, cge)
new_esEs29(vyy156, vyy158, ty_Integer) → new_esEs26(vyy156, vyy158)
new_esEs31(vyy143, vyy146, app(ty_Ratio, beb)) → new_esEs16(vyy143, vyy146, beb)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_@0, cef) → new_ltEs9(vyy1070, vyy1080)
new_ltEs21(vyy107, vyy108, ty_Ordering) → new_ltEs16(vyy107, vyy108)
new_primPlusNat1(Succ(vyy23600), Succ(vyy3001000)) → Succ(Succ(new_primPlusNat1(vyy23600, vyy3001000)))
new_esEs9(vyy3002, vyy402, app(app(ty_Either, cba), cbb)) → new_esEs21(vyy3002, vyy402, cba, cbb)
new_esEs15(vyy30000, vyy4000, app(app(ty_Either, cc), cd)) → new_esEs21(vyy30000, vyy4000, cc, cd)
new_ltEs24(vyy1071, vyy1081, ty_Integer) → new_ltEs18(vyy1071, vyy1081)
new_esEs26(Integer(vyy30000), Integer(vyy4000)) → new_primEqInt(vyy30000, vyy4000)
new_lt22(vyy1071, vyy1081, app(ty_[], dhb)) → new_lt15(vyy1071, vyy1081, dhb)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Int, ebe) → new_esEs19(vyy30000, vyy4000)
new_esEs36(vyy1070, vyy1080, ty_Ordering) → new_esEs13(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, ty_Float) → new_esEs25(vyy1070, vyy1080)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Bool) → new_ltEs8(vyy1070, vyy1080)
new_ltEs20(vyy145, vyy148, ty_Float) → new_ltEs15(vyy145, vyy148)
new_esEs32(vyy30002, vyy4002, ty_@0) → new_esEs24(vyy30002, vyy4002)
new_esEs8(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_primEqInt(Neg(Zero), Pos(Succ(vyy40000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy40000))) → False
new_esEs15(vyy30000, vyy4000, app(ty_Maybe, cb)) → new_esEs20(vyy30000, vyy4000, cb)
new_ltEs16(EQ, EQ) → True
new_ltEs23(vyy121, vyy122, app(app(ty_Either, fba), fbb)) → new_ltEs13(vyy121, vyy122, fba, fbb)
new_esEs15(vyy30000, vyy4000, app(ty_Ratio, bf)) → new_esEs16(vyy30000, vyy4000, bf)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs30(vyy144, vyy147, app(app(ty_@2, bga), bgb)) → new_esEs22(vyy144, vyy147, bga, bgb)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_[], feb)) → new_ltEs12(vyy1070, vyy1080, feb)
new_not(False) → True
new_esEs30(vyy144, vyy147, app(ty_Ratio, bfd)) → new_esEs16(vyy144, vyy147, bfd)
new_ltEs21(vyy107, vyy108, ty_Bool) → new_ltEs8(vyy107, vyy108)
new_esEs6(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_lt4(vyy156, vyy158, bb, bc, bd) → new_esEs13(new_compare10(vyy156, vyy158, bb, bc, bd), LT)
new_esEs8(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs7(vyy3001, vyy401, ty_Bool) → new_esEs12(vyy3001, vyy401)
new_lt19(vyy143, vyy146, ty_Float) → new_lt7(vyy143, vyy146)
new_lt20(vyy144, vyy147, app(app(ty_Either, bfg), bfh)) → new_lt16(vyy144, vyy147, bfg, bfh)
new_esEs34(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs35(vyy1071, vyy1081, ty_Char) → new_esEs17(vyy1071, vyy1081)
new_lt21(vyy1070, vyy1080, ty_Ordering) → new_lt5(vyy1070, vyy1080)
new_esEs37(vyy30001, vyy4001, app(app(app(ty_@3, eee), eef), eeg)) → new_esEs18(vyy30001, vyy4001, eee, eef, eeg)
new_esEs9(vyy3002, vyy402, app(app(ty_@2, cbc), cbd)) → new_esEs22(vyy3002, vyy402, cbc, cbd)
new_lt20(vyy144, vyy147, ty_Double) → new_lt6(vyy144, vyy147)
new_ltEs7(vyy157, vyy159, ty_@0) → new_ltEs9(vyy157, vyy159)
new_esEs38(vyy30000, vyy4000, app(app(app(ty_@3, efg), efh), ega)) → new_esEs18(vyy30000, vyy4000, efg, efh, ega)
new_esEs15(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs39(vyy1070, vyy1080, app(app(ty_Either, fff), ffg)) → new_esEs21(vyy1070, vyy1080, fff, ffg)
new_esEs31(vyy143, vyy146, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs18(vyy143, vyy146, bfa, bfb, bfc)
new_esEs28(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs5(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_esEs39(vyy1070, vyy1080, app(app(app(ty_@3, fgb), fgc), fgd)) → new_esEs18(vyy1070, vyy1080, fgb, fgc, fgd)
new_lt19(vyy143, vyy146, app(ty_[], bed)) → new_lt15(vyy143, vyy146, bed)
new_esEs7(vyy3001, vyy401, app(app(ty_Either, gf), gg)) → new_esEs21(vyy3001, vyy401, gf, gg)
new_esEs7(vyy3001, vyy401, ty_Char) → new_esEs17(vyy3001, vyy401)
new_lt5(vyy156, vyy158) → new_esEs13(new_compare11(vyy156, vyy158), LT)
new_esEs34(vyy30000, vyy4000, app(app(ty_@2, dbb), dbc)) → new_esEs22(vyy30000, vyy4000, dbb, dbc)
new_esEs32(vyy30002, vyy4002, app(app(app(ty_@3, cfh), cga), cgb)) → new_esEs18(vyy30002, vyy4002, cfh, cga, cgb)
new_compare28(True, False) → GT
new_compare28(True, True) → EQ
new_primMulInt(Neg(vyy4000), Neg(vyy30010)) → Pos(new_primMulNat0(vyy4000, vyy30010))
new_esEs13(GT, GT) → True
new_lt7(vyy156, vyy158) → new_esEs13(new_compare13(vyy156, vyy158), LT)
new_esEs4(vyy3000, vyy400, app(app(app(ty_@3, cfd), cfe), cff)) → new_esEs18(vyy3000, vyy400, cfd, cfe, cff)
new_esEs7(vyy3001, vyy401, ty_Integer) → new_esEs26(vyy3001, vyy401)
new_primEqNat0(Zero, Succ(vyy400000)) → False
new_primEqNat0(Succ(vyy3000000), Zero) → False
new_ltEs8(False, False) → True
new_compare25(vyy114, vyy115, True, baf, bag) → EQ
new_esEs31(vyy143, vyy146, app(app(ty_@2, beg), beh)) → new_esEs22(vyy143, vyy146, beg, beh)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Int, cef) → new_ltEs10(vyy1070, vyy1080)
new_ltEs22(vyy1072, vyy1082, ty_@0) → new_ltEs9(vyy1072, vyy1082)
new_lt21(vyy1070, vyy1080, app(ty_Maybe, dfg)) → new_lt14(vyy1070, vyy1080, dfg)
new_esEs33(vyy30001, vyy4001, ty_Char) → new_esEs17(vyy30001, vyy4001)
new_esEs5(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_lt22(vyy1071, vyy1081, ty_@0) → new_lt10(vyy1071, vyy1081)
new_lt20(vyy144, vyy147, ty_Ordering) → new_lt5(vyy144, vyy147)
new_esEs23(Double(vyy30000, vyy30001), Double(vyy4000, vyy4001)) → new_esEs19(new_sr(vyy30000, vyy4000), new_sr(vyy30001, vyy4001))
new_ltEs20(vyy145, vyy148, ty_Ordering) → new_ltEs16(vyy145, vyy148)
new_primCmpInt(Neg(Zero), Neg(Succ(vyy4000))) → new_primCmpNat2(vyy4000, Zero)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(ty_@2, ecd), ece), ebe) → new_esEs22(vyy30000, vyy4000, ecd, ece)
new_esEs35(vyy1071, vyy1081, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs18(vyy1071, vyy1081, dhg, dhh, eaa)
new_compare211(GT, EQ, False) → GT
new_esEs8(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy4000))) → GT
new_compare110(vyy179, vyy180, False, ffb) → GT
new_compare26(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, False, bdg, bdh, bea) → new_compare19(vyy143, vyy144, vyy145, vyy146, vyy147, vyy148, new_lt19(vyy143, vyy146, bdg), new_asAs(new_esEs31(vyy143, vyy146, bdg), new_pePe(new_lt20(vyy144, vyy147, bdh), new_asAs(new_esEs30(vyy144, vyy147, bdh), new_ltEs20(vyy145, vyy148, bea)))), bdg, bdh, bea)
new_esEs17(Char(vyy30000), Char(vyy4000)) → new_primEqInt(vyy30000, vyy4000)
new_esEs37(vyy30001, vyy4001, app(app(ty_@2, efc), efd)) → new_esEs22(vyy30001, vyy4001, efc, efd)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(ty_@2, faa), fab)) → new_esEs22(vyy30000, vyy4000, faa, fab)
new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, False, fcb, fcc, fcd) → GT
new_lt10(vyy156, vyy158) → new_esEs13(new_compare27(vyy156, vyy158), LT)
new_ltEs23(vyy121, vyy122, ty_Ordering) → new_ltEs16(vyy121, vyy122)
new_lt20(vyy144, vyy147, ty_Float) → new_lt7(vyy144, vyy147)
new_compare29(vyy107, vyy108, False, ced) → new_compare110(vyy107, vyy108, new_ltEs21(vyy107, vyy108, ced), ced)
new_esEs7(vyy3001, vyy401, ty_Int) → new_esEs19(vyy3001, vyy401)
new_primCompAux00(vyy92, vyy93, EQ, app(ty_Maybe, dee)) → new_compare31(vyy92, vyy93, dee)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(ty_[], fch), cef) → new_ltEs12(vyy1070, vyy1080, fch)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_@0) → new_ltEs9(vyy1070, vyy1080)
new_foldFM_LE0(vyy36, EmptyFM, h, ba) → vyy36
new_lt21(vyy1070, vyy1080, ty_Double) → new_lt6(vyy1070, vyy1080)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_compare13(Float(vyy3000, vyy3001), Float(vyy400, vyy401)) → new_compare7(new_sr(vyy3000, vyy400), new_sr(vyy3001, vyy401))
new_lt8(vyy156, vyy158, ty_Double) → new_lt6(vyy156, vyy158)
new_esEs9(vyy3002, vyy402, ty_Float) → new_esEs25(vyy3002, vyy402)
new_esEs11(vyy3000, vyy400, app(ty_[], cea)) → new_esEs14(vyy3000, vyy400, cea)
new_esEs14(:(vyy30000, vyy30001), :(vyy4000, vyy4001), be) → new_asAs(new_esEs15(vyy30000, vyy4000, be), new_esEs14(vyy30001, vyy4001, be))
new_esEs36(vyy1070, vyy1080, app(app(ty_Either, dga), dgb)) → new_esEs21(vyy1070, vyy1080, dga, dgb)
new_asAs(False, vyy174) → False
new_lt23(vyy1070, vyy1080, ty_Integer) → new_lt18(vyy1070, vyy1080)
new_esEs7(vyy3001, vyy401, ty_@0) → new_esEs24(vyy3001, vyy401)
new_lt8(vyy156, vyy158, ty_Bool) → new_lt9(vyy156, vyy158)
new_primMulInt(Neg(vyy4000), Pos(vyy30010)) → Neg(new_primMulNat0(vyy4000, vyy30010))
new_primMulInt(Pos(vyy4000), Neg(vyy30010)) → Neg(new_primMulNat0(vyy4000, vyy30010))
new_lt8(vyy156, vyy158, ty_Ordering) → new_lt5(vyy156, vyy158)
new_fsEs(vyy230) → new_not(new_esEs13(vyy230, GT))
new_esEs34(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_esEs4(vyy3000, vyy400, app(ty_Maybe, eha)) → new_esEs20(vyy3000, vyy400, eha)
new_compare211(EQ, LT, False) → GT
new_ltEs23(vyy121, vyy122, ty_Double) → new_ltEs6(vyy121, vyy122)
new_esEs36(vyy1070, vyy1080, app(ty_[], dfh)) → new_esEs14(vyy1070, vyy1080, dfh)
new_esEs29(vyy156, vyy158, app(ty_Ratio, eg)) → new_esEs16(vyy156, vyy158, eg)
new_lt23(vyy1070, vyy1080, app(ty_[], ffe)) → new_lt15(vyy1070, vyy1080, ffe)
new_primCompAux00(vyy92, vyy93, GT, dec) → GT
new_ltEs7(vyy157, vyy159, ty_Double) → new_ltEs6(vyy157, vyy159)
new_esEs30(vyy144, vyy147, ty_@0) → new_esEs24(vyy144, vyy147)
new_compare0(vyy300, vyy40, ty_Bool) → new_compare28(vyy300, vyy40)
new_esEs35(vyy1071, vyy1081, app(ty_Maybe, dha)) → new_esEs20(vyy1071, vyy1081, dha)
new_esEs8(vyy3000, vyy400, app(app(ty_@2, bab), bac)) → new_esEs22(vyy3000, vyy400, bab, bac)
new_esEs38(vyy30000, vyy4000, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Integer) → new_ltEs18(vyy1070, vyy1080)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Double, ebe) → new_esEs23(vyy30000, vyy4000)
new_ltEs13(Right(vyy1070), Left(vyy1080), cee, cef) → False
new_lt23(vyy1070, vyy1080, app(ty_Maybe, ffd)) → new_lt14(vyy1070, vyy1080, ffd)
new_lt21(vyy1070, vyy1080, app(ty_Ratio, dff)) → new_lt11(vyy1070, vyy1080, dff)
new_ltEs7(vyy157, vyy159, app(ty_Maybe, df)) → new_ltEs11(vyy157, vyy159, df)
new_lt21(vyy1070, vyy1080, ty_Int) → new_lt13(vyy1070, vyy1080)
new_esEs39(vyy1070, vyy1080, app(app(ty_@2, ffh), fga)) → new_esEs22(vyy1070, vyy1080, ffh, fga)
new_esEs34(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs34(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs6(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, app(app(ty_Either, ecg), ebe)) → new_esEs21(vyy3000, vyy400, ecg, ebe)
new_esEs37(vyy30001, vyy4001, app(ty_[], efe)) → new_esEs14(vyy30001, vyy4001, efe)
new_esEs34(vyy30000, vyy4000, ty_Char) → new_esEs17(vyy30000, vyy4000)
new_ltEs24(vyy1071, vyy1081, app(ty_Maybe, fgf)) → new_ltEs11(vyy1071, vyy1081, fgf)
new_ltEs20(vyy145, vyy148, ty_Int) → new_ltEs10(vyy145, vyy148)
new_ltEs7(vyy157, vyy159, app(app(app(ty_@3, ed), ee), ef)) → new_ltEs17(vyy157, vyy159, ed, ee, ef)
new_esEs4(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_lt13(vyy156, vyy158) → new_esEs13(new_compare7(vyy156, vyy158), LT)
new_esEs15(vyy30000, vyy4000, app(ty_[], cg)) → new_esEs14(vyy30000, vyy4000, cg)
new_esEs31(vyy143, vyy146, app(app(ty_Either, bee), bef)) → new_esEs21(vyy143, vyy146, bee, bef)
new_esEs4(vyy3000, vyy400, app(app(ty_@2, eeb), eec)) → new_esEs22(vyy3000, vyy400, eeb, eec)
new_lt8(vyy156, vyy158, ty_Float) → new_lt7(vyy156, vyy158)
new_esEs38(vyy30000, vyy4000, app(ty_Maybe, egb)) → new_esEs20(vyy30000, vyy4000, egb)
new_compare211(LT, EQ, False) → LT
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Char) → new_ltEs4(vyy1070, vyy1080)
new_esEs29(vyy156, vyy158, app(ty_Maybe, eh)) → new_esEs20(vyy156, vyy158, eh)
new_lt19(vyy143, vyy146, ty_Double) → new_lt6(vyy143, vyy146)
new_esEs37(vyy30001, vyy4001, ty_Double) → new_esEs23(vyy30001, vyy4001)
new_esEs34(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_lt20(vyy144, vyy147, ty_Char) → new_lt12(vyy144, vyy147)
new_esEs30(vyy144, vyy147, ty_Double) → new_esEs23(vyy144, vyy147)
new_ltEs22(vyy1072, vyy1082, app(ty_Maybe, eac)) → new_ltEs11(vyy1072, vyy1082, eac)
new_ltEs10(vyy107, vyy108) → new_fsEs(new_compare7(vyy107, vyy108))
new_primCompAux00(vyy92, vyy93, EQ, app(app(app(ty_@3, dfc), dfd), dfe)) → new_compare10(vyy92, vyy93, dfc, dfd, dfe)
new_lt19(vyy143, vyy146, ty_@0) → new_lt10(vyy143, vyy146)
new_esEs29(vyy156, vyy158, ty_Float) → new_esEs25(vyy156, vyy158)
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_[], bce)) → new_ltEs12(vyy1070, vyy1080, bce)
new_asAs(True, vyy174) → vyy174
new_esEs39(vyy1070, vyy1080, ty_Bool) → new_esEs12(vyy1070, vyy1080)
new_esEs30(vyy144, vyy147, app(ty_Maybe, bfe)) → new_esEs20(vyy144, vyy147, bfe)
new_esEs11(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_ltEs11(Nothing, Nothing, bcb) → True
new_ltEs16(LT, LT) → True
new_esEs6(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_esEs11(vyy3000, vyy400, app(ty_Ratio, cch)) → new_esEs16(vyy3000, vyy400, cch)
new_lt23(vyy1070, vyy1080, ty_Ordering) → new_lt5(vyy1070, vyy1080)
new_compare211(vyy300, vyy40, True) → EQ
new_lt15(vyy156, vyy158, fa) → new_esEs13(new_compare17(vyy156, vyy158, fa), LT)
new_esEs31(vyy143, vyy146, ty_@0) → new_esEs24(vyy143, vyy146)
new_compare0(vyy300, vyy40, ty_Integer) → new_compare8(vyy300, vyy40)
new_ltEs19(vyy114, vyy115, app(app(ty_@2, bbe), bbf)) → new_ltEs14(vyy114, vyy115, bbe, bbf)
new_ltEs20(vyy145, vyy148, ty_@0) → new_ltEs9(vyy145, vyy148)
new_fmToList_LE0(vyy340, vyy341, vyy96, h, ba) → :(@2(vyy340, vyy341), vyy96)
new_ltEs6(vyy107, vyy108) → new_fsEs(new_compare12(vyy107, vyy108))
new_esEs33(vyy30001, vyy4001, ty_Ordering) → new_esEs13(vyy30001, vyy4001)
new_esEs22(@2(vyy30000, vyy30001), @2(vyy4000, vyy4001), eeb, eec) → new_asAs(new_esEs38(vyy30000, vyy4000, eeb), new_esEs37(vyy30001, vyy4001, eec))
new_esEs38(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs7(vyy3001, vyy401, app(ty_Ratio, ga)) → new_esEs16(vyy3001, vyy401, ga)
new_ltEs23(vyy121, vyy122, ty_Float) → new_ltEs15(vyy121, vyy122)
new_esEs33(vyy30001, vyy4001, ty_Float) → new_esEs25(vyy30001, vyy4001)
new_lt14(vyy156, vyy158, eh) → new_esEs13(new_compare31(vyy156, vyy158, eh), LT)
new_ltEs22(vyy1072, vyy1082, ty_Int) → new_ltEs10(vyy1072, vyy1082)
new_lt21(vyy1070, vyy1080, app(app(app(ty_@3, dge), dgf), dgg)) → new_lt4(vyy1070, vyy1080, dge, dgf, dgg)
new_primCmpInt(Pos(Succ(vyy30000)), Pos(vyy400)) → new_primCmpNat2(vyy30000, vyy400)
new_ltEs11(Just(vyy1070), Nothing, bcb) → False
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_not(True) → False
new_esEs27(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_lt23(vyy1070, vyy1080, ty_@0) → new_lt10(vyy1070, vyy1080)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(ty_Either, ede), edf)) → new_esEs21(vyy30000, vyy4000, ede, edf)
new_esEs10(vyy3001, vyy401, app(app(app(ty_@3, cbg), cbh), cca)) → new_esEs18(vyy3001, vyy401, cbg, cbh, cca)
new_ltEs24(vyy1071, vyy1081, ty_@0) → new_ltEs9(vyy1071, vyy1081)
new_ltEs16(GT, GT) → True
new_compare18(vyy206, vyy207, vyy208, vyy209, False, bde, bdf) → GT
new_esEs33(vyy30001, vyy4001, app(ty_Ratio, cha)) → new_esEs16(vyy30001, vyy4001, cha)
new_compare10(@3(vyy3000, vyy3001, vyy3002), @3(vyy400, vyy401, vyy402), caa, cab, cac) → new_compare26(vyy3000, vyy3001, vyy3002, vyy400, vyy401, vyy402, new_asAs(new_esEs11(vyy3000, vyy400, caa), new_asAs(new_esEs10(vyy3001, vyy401, cab), new_esEs9(vyy3002, vyy402, cac))), caa, cab, cac)
new_ltEs21(vyy107, vyy108, app(ty_[], bhh)) → new_ltEs12(vyy107, vyy108, bhh)
new_esEs39(vyy1070, vyy1080, ty_Float) → new_esEs25(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, app(app(ty_Either, dbe), dbf)) → new_compare30(vyy300, vyy40, dbe, dbf)
new_lt9(vyy156, vyy158) → new_esEs13(new_compare28(vyy156, vyy158), LT)
new_ltEs16(LT, GT) → True
new_esEs11(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_lt23(vyy1070, vyy1080, app(app(app(ty_@3, fgb), fgc), fgd)) → new_lt4(vyy1070, vyy1080, fgb, fgc, fgd)
new_esEs37(vyy30001, vyy4001, app(app(ty_Either, efa), efb)) → new_esEs21(vyy30001, vyy4001, efa, efb)
new_esEs9(vyy3002, vyy402, ty_Integer) → new_esEs26(vyy3002, vyy402)
new_ltEs23(vyy121, vyy122, app(app(app(ty_@3, fbe), fbf), fbg)) → new_ltEs17(vyy121, vyy122, fbe, fbf, fbg)
new_esEs31(vyy143, vyy146, app(ty_[], bed)) → new_esEs14(vyy143, vyy146, bed)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Ordering, cef) → new_ltEs16(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Float) → new_ltEs15(vyy1070, vyy1080)
new_primMulNat0(Zero, Zero) → Zero
new_lt20(vyy144, vyy147, ty_Int) → new_lt13(vyy144, vyy147)
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_Maybe, ehf)) → new_esEs20(vyy30000, vyy4000, ehf)
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_[], ecf), ebe) → new_esEs14(vyy30000, vyy4000, ecf)
new_esEs7(vyy3001, vyy401, app(ty_Maybe, ge)) → new_esEs20(vyy3001, vyy401, ge)
new_lt22(vyy1071, vyy1081, app(ty_Maybe, dha)) → new_lt14(vyy1071, vyy1081, dha)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_Ratio, ech)) → new_esEs16(vyy30000, vyy4000, ech)
new_compare14(vyy206, vyy207, vyy208, vyy209, False, vyy211, bde, bdf) → new_compare18(vyy206, vyy207, vyy208, vyy209, vyy211, bde, bdf)
new_esEs6(vyy3000, vyy400, ty_Ordering) → new_esEs13(vyy3000, vyy400)
new_esEs8(vyy3000, vyy400, app(ty_[], bad)) → new_esEs14(vyy3000, vyy400, bad)
new_esEs13(EQ, EQ) → True
new_lt22(vyy1071, vyy1081, app(app(ty_@2, dhe), dhf)) → new_lt17(vyy1071, vyy1081, dhe, dhf)
new_esEs11(vyy3000, vyy400, app(app(app(ty_@3, cda), cdb), cdc)) → new_esEs18(vyy3000, vyy400, cda, cdb, cdc)
new_esEs20(Nothing, Nothing, eha) → True
new_lt19(vyy143, vyy146, ty_Int) → new_lt13(vyy143, vyy146)
new_ltEs19(vyy114, vyy115, ty_Int) → new_ltEs10(vyy114, vyy115)
new_esEs38(vyy30000, vyy4000, app(app(ty_Either, egc), egd)) → new_esEs21(vyy30000, vyy4000, egc, egd)
new_esEs10(vyy3001, vyy401, ty_Double) → new_esEs23(vyy3001, vyy401)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Char, ebe) → new_esEs17(vyy30000, vyy4000)
new_lt8(vyy156, vyy158, app(app(app(ty_@3, bb), bc), bd)) → new_lt4(vyy156, vyy158, bb, bc, bd)
new_esEs7(vyy3001, vyy401, ty_Double) → new_esEs23(vyy3001, vyy401)
new_ltEs20(vyy145, vyy148, app(app(ty_Either, bha), bhb)) → new_ltEs13(vyy145, vyy148, bha, bhb)
new_esEs32(vyy30002, vyy4002, app(ty_[], cgh)) → new_esEs14(vyy30002, vyy4002, cgh)
new_esEs14([], [], be) → True
new_ltEs24(vyy1071, vyy1081, app(ty_Ratio, fge)) → new_ltEs5(vyy1071, vyy1081, fge)
new_esEs38(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(app(ty_@3, fde), fdf), fdg), cef) → new_ltEs17(vyy1070, vyy1080, fde, fdf, fdg)
new_ltEs22(vyy1072, vyy1082, app(app(ty_@2, eag), eah)) → new_ltEs14(vyy1072, vyy1082, eag, eah)
new_esEs30(vyy144, vyy147, ty_Float) → new_esEs25(vyy144, vyy147)
new_esEs10(vyy3001, vyy401, ty_Bool) → new_esEs12(vyy3001, vyy401)
new_esEs11(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_lt17(vyy156, vyy158, fd, ff) → new_esEs13(new_compare15(vyy156, vyy158, fd, ff), LT)
new_lt23(vyy1070, vyy1080, ty_Int) → new_lt13(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, ty_Float) → new_compare13(vyy300, vyy40)
new_ltEs16(EQ, GT) → True
new_lt20(vyy144, vyy147, app(app(ty_@2, bga), bgb)) → new_lt17(vyy144, vyy147, bga, bgb)
new_lt19(vyy143, vyy146, app(ty_Maybe, bec)) → new_lt14(vyy143, vyy146, bec)
new_ltEs23(vyy121, vyy122, app(ty_Ratio, faf)) → new_ltEs5(vyy121, vyy122, faf)
new_esEs8(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_ltEs21(vyy107, vyy108, app(app(ty_@2, ceg), ceh)) → new_ltEs14(vyy107, vyy108, ceg, ceh)
new_esEs37(vyy30001, vyy4001, ty_Bool) → new_esEs12(vyy30001, vyy4001)
new_esEs9(vyy3002, vyy402, app(ty_Ratio, cad)) → new_esEs16(vyy3002, vyy402, cad)
new_esEs32(vyy30002, vyy4002, ty_Ordering) → new_esEs13(vyy30002, vyy4002)
new_compare211(LT, GT, False) → LT
new_esEs34(vyy30000, vyy4000, app(app(app(ty_@3, dad), dae), daf)) → new_esEs18(vyy30000, vyy4000, dad, dae, daf)
new_esEs33(vyy30001, vyy4001, app(ty_Maybe, che)) → new_esEs20(vyy30001, vyy4001, che)
new_primCmpNat0(Zero, Succ(vyy40000)) → LT
new_esEs39(vyy1070, vyy1080, ty_Double) → new_esEs23(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, app(app(ty_@2, fg), fh)) → new_compare15(vyy300, vyy40, fg, fh)
new_ltEs20(vyy145, vyy148, ty_Bool) → new_ltEs8(vyy145, vyy148)
new_ltEs22(vyy1072, vyy1082, app(app(app(ty_@3, eba), ebb), ebc)) → new_ltEs17(vyy1072, vyy1082, eba, ebb, ebc)
new_esEs24(@0, @0) → True
new_lt22(vyy1071, vyy1081, app(ty_Ratio, dgh)) → new_lt11(vyy1071, vyy1081, dgh)
new_esEs38(vyy30000, vyy4000, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_primCompAux00(vyy92, vyy93, EQ, ty_Double) → new_compare12(vyy92, vyy93)
new_lt19(vyy143, vyy146, ty_Bool) → new_lt9(vyy143, vyy146)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(ty_Either, ecb), ecc), ebe) → new_esEs21(vyy30000, vyy4000, ecb, ecc)
new_esEs38(vyy30000, vyy4000, app(app(ty_@2, ege), egf)) → new_esEs22(vyy30000, vyy4000, ege, egf)
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(app(ty_@3, ehc), ehd), ehe)) → new_esEs18(vyy30000, vyy4000, ehc, ehd, ehe)
new_esEs7(vyy3001, vyy401, ty_Float) → new_esEs25(vyy3001, vyy401)
new_esEs11(vyy3000, vyy400, app(app(ty_Either, cde), cdf)) → new_esEs21(vyy3000, vyy400, cde, cdf)
new_ltEs19(vyy114, vyy115, ty_Integer) → new_ltEs18(vyy114, vyy115)
new_esEs7(vyy3001, vyy401, app(app(ty_@2, gh), ha)) → new_esEs22(vyy3001, vyy401, gh, ha)
new_ltEs11(Nothing, Just(vyy1080), bcb) → True
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_Maybe, bcd)) → new_ltEs11(vyy1070, vyy1080, bcd)
new_esEs8(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_compare111(vyy193, vyy194, False, fbh, fca) → GT
new_foldFM_LE14(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, vyy102, h, ba) → new_foldFM_LE13(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_esEs13(vyy102, GT), h, ba)
new_esEs6(vyy3000, vyy400, app(ty_Ratio, dda)) → new_esEs16(vyy3000, vyy400, dda)
new_lt19(vyy143, vyy146, ty_Ordering) → new_lt5(vyy143, vyy146)
new_lt23(vyy1070, vyy1080, ty_Float) → new_lt7(vyy1070, vyy1080)
new_esEs37(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_esEs32(vyy30002, vyy4002, ty_Bool) → new_esEs12(vyy30002, vyy4002)
new_esEs35(vyy1071, vyy1081, app(app(ty_Either, dhc), dhd)) → new_esEs21(vyy1071, vyy1081, dhc, dhd)
new_sr(vyy400, vyy3001) → new_primMulInt(vyy400, vyy3001)
new_compare7(vyy300, vyy40) → new_primCmpInt(vyy300, vyy40)
new_esEs37(vyy30001, vyy4001, ty_@0) → new_esEs24(vyy30001, vyy4001)
new_esEs4(vyy3000, vyy400, app(ty_[], be)) → new_esEs14(vyy3000, vyy400, be)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(ty_Ratio, bcc)) → new_ltEs5(vyy1070, vyy1080, bcc)
new_ltEs22(vyy1072, vyy1082, ty_Char) → new_ltEs4(vyy1072, vyy1082)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Char) → new_ltEs4(vyy1070, vyy1080)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(ty_Maybe, fea)) → new_ltEs11(vyy1070, vyy1080, fea)
new_primCmpInt(Pos(Zero), Pos(Succ(vyy4000))) → new_primCmpNat1(Zero, vyy4000)
new_lt19(vyy143, vyy146, app(ty_Ratio, beb)) → new_lt11(vyy143, vyy146, beb)
new_esEs12(False, False) → True
new_esEs30(vyy144, vyy147, ty_Int) → new_esEs19(vyy144, vyy147)
new_lt20(vyy144, vyy147, ty_Bool) → new_lt9(vyy144, vyy147)
new_compare6(:%(vyy3000, vyy3001), :%(vyy400, vyy401), ty_Integer) → new_compare8(new_sr0(vyy3000, vyy401), new_sr0(vyy400, vyy3001))
new_lt22(vyy1071, vyy1081, ty_Int) → new_lt13(vyy1071, vyy1081)
new_lt22(vyy1071, vyy1081, app(app(ty_Either, dhc), dhd)) → new_lt16(vyy1071, vyy1081, dhc, dhd)
new_compare17([], [], bae) → EQ
new_ltEs22(vyy1072, vyy1082, app(ty_Ratio, eab)) → new_ltEs5(vyy1072, vyy1082, eab)
new_ltEs20(vyy145, vyy148, ty_Char) → new_ltEs4(vyy145, vyy148)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Double) → new_ltEs6(vyy1070, vyy1080)
new_ltEs16(LT, EQ) → True
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Ordering, ebe) → new_esEs13(vyy30000, vyy4000)
new_esEs32(vyy30002, vyy4002, app(app(ty_@2, cgf), cgg)) → new_esEs22(vyy30002, vyy4002, cgf, cgg)
new_esEs5(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_esEs4(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_ltEs8(True, True) → True
new_lt21(vyy1070, vyy1080, app(ty_[], dfh)) → new_lt15(vyy1070, vyy1080, dfh)
new_ltEs22(vyy1072, vyy1082, ty_Bool) → new_ltEs8(vyy1072, vyy1082)
new_esEs14(:(vyy30000, vyy30001), [], be) → False
new_esEs14([], :(vyy4000, vyy4001), be) → False
new_esEs15(vyy30000, vyy4000, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs39(vyy1070, vyy1080, ty_Int) → new_esEs19(vyy1070, vyy1080)
new_lt8(vyy156, vyy158, ty_Char) → new_lt12(vyy156, vyy158)
new_ltEs7(vyy157, vyy159, ty_Float) → new_ltEs15(vyy157, vyy159)
new_esEs4(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_compare211(EQ, EQ, False) → LT
new_esEs9(vyy3002, vyy402, ty_@0) → new_esEs24(vyy3002, vyy402)
new_ltEs24(vyy1071, vyy1081, ty_Double) → new_ltEs6(vyy1071, vyy1081)
new_esEs10(vyy3001, vyy401, ty_@0) → new_esEs24(vyy3001, vyy401)
new_ltEs21(vyy107, vyy108, app(app(ty_Either, cee), cef)) → new_ltEs13(vyy107, vyy108, cee, cef)
new_primEqInt(Neg(Zero), Neg(Succ(vyy40000))) → False
new_primEqInt(Neg(Succ(vyy300000)), Neg(Zero)) → False
new_esEs5(vyy3000, vyy400, app(app(ty_@2, dcf), dcg)) → new_esEs22(vyy3000, vyy400, dcf, dcg)
new_esEs11(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_foldFM_LE12(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba) → new_foldFM_LE14(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_compare17(vyy3440, [], h), h, ba)
new_ltEs7(vyy157, vyy159, app(ty_Ratio, de)) → new_ltEs5(vyy157, vyy159, de)
new_lt20(vyy144, vyy147, ty_@0) → new_lt10(vyy144, vyy147)
new_esEs33(vyy30001, vyy4001, ty_@0) → new_esEs24(vyy30001, vyy4001)
new_compare31(Nothing, Nothing, egh) → EQ
new_esEs32(vyy30002, vyy4002, ty_Char) → new_esEs17(vyy30002, vyy4002)
new_ltEs20(vyy145, vyy148, app(ty_Ratio, bgf)) → new_ltEs5(vyy145, vyy148, bgf)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Ordering) → new_ltEs16(vyy1070, vyy1080)
new_ltEs16(GT, LT) → False
new_compare19(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, vyy228, fcb, fcc, fcd) → new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, fcb, fcc, fcd)
new_esEs28(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_foldFM_LE13(vyy36, vyy340, vyy341, vyy342, vyy343, EmptyFM, False, h, ba) → new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE0(vyy36, vyy343, h, ba), h, ba)
new_primCmpNat1(Succ(vyy4000), vyy30000) → new_primCmpNat0(vyy4000, vyy30000)
new_esEs8(vyy3000, vyy400, app(ty_Maybe, hg)) → new_esEs20(vyy3000, vyy400, hg)
new_compare30(Left(vyy3000), Left(vyy400), dbe, dbf) → new_compare25(vyy3000, vyy400, new_esEs5(vyy3000, vyy400, dbe), dbe, dbf)
new_primCmpNat0(Succ(vyy300000), Succ(vyy40000)) → new_primCmpNat0(vyy300000, vyy40000)
new_compare28(False, False) → EQ
new_esEs13(LT, LT) → True
new_esEs35(vyy1071, vyy1081, ty_@0) → new_esEs24(vyy1071, vyy1081)
new_esEs33(vyy30001, vyy4001, app(app(ty_Either, chf), chg)) → new_esEs21(vyy30001, vyy4001, chf, chg)
new_esEs36(vyy1070, vyy1080, ty_Bool) → new_esEs12(vyy1070, vyy1080)
new_compare28(False, True) → LT
new_esEs37(vyy30001, vyy4001, ty_Char) → new_esEs17(vyy30001, vyy4001)
new_lt19(vyy143, vyy146, app(app(app(ty_@3, bfa), bfb), bfc)) → new_lt4(vyy143, vyy146, bfa, bfb, bfc)
new_compare11(vyy300, vyy40) → new_compare211(vyy300, vyy40, new_esEs13(vyy300, vyy40))
new_ltEs5(vyy107, vyy108, db) → new_fsEs(new_compare6(vyy107, vyy108, db))
new_compare12(Double(vyy3000, vyy3001), Double(vyy400, vyy401)) → new_compare7(new_sr(vyy3000, vyy400), new_sr(vyy3001, vyy401))
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Char, cef) → new_ltEs4(vyy1070, vyy1080)
new_esEs6(vyy3000, vyy400, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs18(vyy3000, vyy400, ddb, ddc, ddd)
new_esEs31(vyy143, vyy146, app(ty_Maybe, bec)) → new_esEs20(vyy143, vyy146, bec)
new_ltEs21(vyy107, vyy108, app(ty_Ratio, db)) → new_ltEs5(vyy107, vyy108, db)
new_ltEs24(vyy1071, vyy1081, ty_Int) → new_ltEs10(vyy1071, vyy1081)
new_esEs5(vyy3000, vyy400, app(app(ty_Either, dcd), dce)) → new_esEs21(vyy3000, vyy400, dcd, dce)
new_esEs34(vyy30000, vyy4000, app(ty_Ratio, dac)) → new_esEs16(vyy30000, vyy4000, dac)
new_esEs31(vyy143, vyy146, ty_Float) → new_esEs25(vyy143, vyy146)
new_esEs10(vyy3001, vyy401, app(ty_Ratio, cbf)) → new_esEs16(vyy3001, vyy401, cbf)
new_esEs15(vyy30000, vyy4000, app(app(ty_@2, ce), cf)) → new_esEs22(vyy30000, vyy4000, ce, cf)
new_esEs30(vyy144, vyy147, ty_Integer) → new_esEs26(vyy144, vyy147)
new_esEs33(vyy30001, vyy4001, app(app(ty_@2, chh), daa)) → new_esEs22(vyy30001, vyy4001, chh, daa)
new_esEs5(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_lt11(vyy156, vyy158, eg) → new_esEs13(new_compare6(vyy156, vyy158, eg), LT)
new_lt22(vyy1071, vyy1081, ty_Integer) → new_lt18(vyy1071, vyy1081)
new_compare16(vyy186, vyy187, True, ceb, cec) → LT
new_compare9(Char(vyy3000), Char(vyy400)) → new_primCmpInt(vyy3000, vyy400)
new_compare25(vyy114, vyy115, False, baf, bag) → new_compare16(vyy114, vyy115, new_ltEs19(vyy114, vyy115, baf), baf, bag)
new_esEs29(vyy156, vyy158, app(app(app(ty_@3, bb), bc), bd)) → new_esEs18(vyy156, vyy158, bb, bc, bd)
new_lt22(vyy1071, vyy1081, ty_Char) → new_lt12(vyy1071, vyy1081)
new_foldFM_LE0(vyy36, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), h, ba) → new_foldFM_LE12(vyy36, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_primCompAux00(vyy92, vyy93, EQ, ty_@0) → new_compare27(vyy92, vyy93)
new_primEqInt(Pos(Zero), Pos(Succ(vyy40000))) → False
new_primEqInt(Pos(Succ(vyy300000)), Pos(Zero)) → False
new_primCmpNat0(Zero, Zero) → EQ
new_compare17(:(vyy3000, vyy3001), [], bae) → GT
new_primCmpNat0(Succ(vyy300000), Zero) → GT
new_esEs10(vyy3001, vyy401, app(ty_Maybe, ccb)) → new_esEs20(vyy3001, vyy401, ccb)
new_primCmpInt(Neg(Zero), Pos(Succ(vyy4000))) → LT
new_ltEs21(vyy107, vyy108, ty_@0) → new_ltEs9(vyy107, vyy108)
new_esEs21(Right(vyy30000), Left(vyy4000), ecg, ebe) → False
new_esEs21(Left(vyy30000), Right(vyy4000), ecg, ebe) → False
new_compare0(vyy300, vyy40, ty_Char) → new_compare9(vyy300, vyy40)
new_lt8(vyy156, vyy158, ty_Int) → new_lt13(vyy156, vyy158)
new_sr0(Integer(vyy4000), Integer(vyy30010)) → Integer(new_primMulInt(vyy4000, vyy30010))
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Double) → new_ltEs6(vyy1070, vyy1080)
new_esEs21(Left(vyy30000), Left(vyy4000), app(ty_Ratio, ebd), ebe) → new_esEs16(vyy30000, vyy4000, ebd)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(app(ty_@3, bdb), bdc), bdd)) → new_ltEs17(vyy1070, vyy1080, bdb, bdc, bdd)
new_primEqInt(Neg(Succ(vyy300000)), Pos(vyy4000)) → False
new_primEqInt(Pos(Succ(vyy300000)), Neg(vyy4000)) → False
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Bool, cef) → new_ltEs8(vyy1070, vyy1080)
new_compare0(vyy300, vyy40, ty_@0) → new_compare27(vyy300, vyy40)
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_[], fac)) → new_esEs14(vyy30000, vyy4000, fac)
new_esEs10(vyy3001, vyy401, app(ty_[], ccg)) → new_esEs14(vyy3001, vyy401, ccg)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_@0, ebe) → new_esEs24(vyy30000, vyy4000)
new_ltEs20(vyy145, vyy148, ty_Integer) → new_ltEs18(vyy145, vyy148)
new_compare30(Left(vyy3000), Right(vyy400), dbe, dbf) → LT
new_ltEs23(vyy121, vyy122, ty_@0) → new_ltEs9(vyy121, vyy122)
new_esEs38(vyy30000, vyy4000, ty_Int) → new_esEs19(vyy30000, vyy4000)
new_esEs11(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_esEs6(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_esEs30(vyy144, vyy147, ty_Bool) → new_esEs12(vyy144, vyy147)
new_lt21(vyy1070, vyy1080, ty_@0) → new_lt10(vyy1070, vyy1080)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Float) → new_esEs25(vyy30000, vyy4000)
new_ltEs8(True, False) → False
new_esEs9(vyy3002, vyy402, app(app(app(ty_@3, cae), caf), cag)) → new_esEs18(vyy3002, vyy402, cae, caf, cag)
new_ltEs20(vyy145, vyy148, app(app(app(ty_@3, bhe), bhf), bhg)) → new_ltEs17(vyy145, vyy148, bhe, bhf, bhg)
new_esEs34(vyy30000, vyy4000, app(ty_Maybe, dag)) → new_esEs20(vyy30000, vyy4000, dag)
new_esEs20(Just(vyy30000), Just(vyy4000), app(ty_Ratio, ehb)) → new_esEs16(vyy30000, vyy4000, ehb)
new_compare110(vyy179, vyy180, True, ffb) → LT
new_compare210(vyy121, vyy122, True, fad, fae) → EQ
new_primPlusNat0(Zero, vyy300100) → Succ(vyy300100)
new_esEs20(Just(vyy30000), Just(vyy4000), app(app(ty_Either, ehg), ehh)) → new_esEs21(vyy30000, vyy4000, ehg, ehh)
new_lt8(vyy156, vyy158, ty_Integer) → new_lt18(vyy156, vyy158)
new_esEs6(vyy3000, vyy400, app(app(ty_@2, ddh), dea)) → new_esEs22(vyy3000, vyy400, ddh, dea)
new_lt21(vyy1070, vyy1080, ty_Char) → new_lt12(vyy1070, vyy1080)
new_ltEs19(vyy114, vyy115, app(ty_[], bbb)) → new_ltEs12(vyy114, vyy115, bbb)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_Maybe, edd)) → new_esEs20(vyy30000, vyy4000, edd)
new_esEs8(vyy3000, vyy400, app(app(app(ty_@3, hd), he), hf)) → new_esEs18(vyy3000, vyy400, hd, he, hf)
new_esEs21(Left(vyy30000), Left(vyy4000), app(app(app(ty_@3, ebf), ebg), ebh), ebe) → new_esEs18(vyy30000, vyy4000, ebf, ebg, ebh)
new_esEs8(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_Integer) → new_ltEs18(vyy1070, vyy1080)
new_esEs31(vyy143, vyy146, ty_Integer) → new_esEs26(vyy143, vyy146)
new_lt23(vyy1070, vyy1080, ty_Double) → new_lt6(vyy1070, vyy1080)
new_esEs36(vyy1070, vyy1080, ty_Char) → new_esEs17(vyy1070, vyy1080)
new_primCmpInt(Pos(Succ(vyy30000)), Neg(vyy400)) → GT
new_esEs39(vyy1070, vyy1080, app(ty_Ratio, ffc)) → new_esEs16(vyy1070, vyy1080, ffc)
new_ltEs18(vyy107, vyy108) → new_fsEs(new_compare8(vyy107, vyy108))
new_esEs33(vyy30001, vyy4001, ty_Int) → new_esEs19(vyy30001, vyy4001)
new_ltEs11(Just(vyy1070), Just(vyy1080), app(app(ty_@2, bch), bda)) → new_ltEs14(vyy1070, vyy1080, bch, bda)
new_esEs9(vyy3002, vyy402, ty_Int) → new_esEs19(vyy3002, vyy402)
new_primMulInt(Pos(vyy4000), Pos(vyy30010)) → Pos(new_primMulNat0(vyy4000, vyy30010))
new_esEs4(vyy3000, vyy400, ty_Double) → new_esEs23(vyy3000, vyy400)
new_ltEs7(vyy157, vyy159, app(ty_[], dg)) → new_ltEs12(vyy157, vyy159, dg)
new_compare211(GT, LT, False) → GT
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Ordering) → new_esEs13(vyy30000, vyy4000)
new_esEs21(Left(vyy30000), Left(vyy4000), ty_Bool, ebe) → new_esEs12(vyy30000, vyy4000)
new_compare19(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, False, vyy228, fcb, fcc, fcd) → new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, vyy228, fcb, fcc, fcd)
new_ltEs23(vyy121, vyy122, ty_Int) → new_ltEs10(vyy121, vyy122)
new_compare24(vyy156, vyy157, vyy158, vyy159, False, dc, dd) → new_compare14(vyy156, vyy157, vyy158, vyy159, new_lt8(vyy156, vyy158, dc), new_asAs(new_esEs29(vyy156, vyy158, dc), new_ltEs7(vyy157, vyy159, dd)), dc, dd)
new_lt18(vyy156, vyy158) → new_esEs13(new_compare8(vyy156, vyy158), LT)
new_esEs39(vyy1070, vyy1080, ty_Char) → new_esEs17(vyy1070, vyy1080)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Double) → new_esEs23(vyy30000, vyy4000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs4(vyy3000, vyy400, ty_Float) → new_esEs25(vyy3000, vyy400)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(ty_@2, fdc), fdd), cef) → new_ltEs14(vyy1070, vyy1080, fdc, fdd)
new_compare24(vyy156, vyy157, vyy158, vyy159, True, dc, dd) → EQ
new_esEs11(vyy3000, vyy400, ty_@0) → new_esEs24(vyy3000, vyy400)
new_ltEs24(vyy1071, vyy1081, ty_Ordering) → new_ltEs16(vyy1071, vyy1081)
new_esEs37(vyy30001, vyy4001, app(ty_Maybe, eeh)) → new_esEs20(vyy30001, vyy4001, eeh)
new_ltEs23(vyy121, vyy122, app(ty_[], fah)) → new_ltEs12(vyy121, vyy122, fah)
new_esEs7(vyy3001, vyy401, app(app(app(ty_@3, gb), gc), gd)) → new_esEs18(vyy3001, vyy401, gb, gc, gd)
new_esEs36(vyy1070, vyy1080, app(app(ty_@2, dgc), dgd)) → new_esEs22(vyy1070, vyy1080, dgc, dgd)
new_ltEs22(vyy1072, vyy1082, app(ty_[], ead)) → new_ltEs12(vyy1072, vyy1082, ead)
new_primCompAux00(vyy92, vyy93, EQ, ty_Char) → new_compare9(vyy92, vyy93)
new_esEs29(vyy156, vyy158, ty_Int) → new_esEs19(vyy156, vyy158)
new_ltEs13(Left(vyy1070), Left(vyy1080), app(app(ty_Either, fda), fdb), cef) → new_ltEs13(vyy1070, vyy1080, fda, fdb)
new_esEs9(vyy3002, vyy402, ty_Double) → new_esEs23(vyy3002, vyy402)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, app(app(ty_Either, fec), fed)) → new_ltEs13(vyy1070, vyy1080, fec, fed)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_ltEs24(vyy1071, vyy1081, app(app(app(ty_@3, fhd), fhe), fhf)) → new_ltEs17(vyy1071, vyy1081, fhd, fhe, fhf)
new_esEs19(vyy3000, vyy400) → new_primEqInt(vyy3000, vyy400)
new_compare0(vyy300, vyy40, ty_Ordering) → new_compare11(vyy300, vyy40)
new_lt20(vyy144, vyy147, app(ty_[], bff)) → new_lt15(vyy144, vyy147, bff)
new_compare29(vyy107, vyy108, True, ced) → EQ
new_foldFM_LE13(vyy36, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE12(new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE0(vyy36, vyy343, h, ba), h, ba), vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba)
new_esEs37(vyy30001, vyy4001, ty_Ordering) → new_esEs13(vyy30001, vyy4001)
new_esEs10(vyy3001, vyy401, ty_Integer) → new_esEs26(vyy3001, vyy401)
new_ltEs7(vyy157, vyy159, ty_Int) → new_ltEs10(vyy157, vyy159)
new_lt22(vyy1071, vyy1081, ty_Float) → new_lt7(vyy1071, vyy1081)
new_compare0(vyy300, vyy40, app(ty_[], bae)) → new_compare17(vyy300, vyy40, bae)
new_esEs29(vyy156, vyy158, ty_Bool) → new_esEs12(vyy156, vyy158)
new_esEs38(vyy30000, vyy4000, ty_Float) → new_esEs25(vyy30000, vyy4000)
new_esEs11(vyy3000, vyy400, app(app(ty_@2, cdg), cdh)) → new_esEs22(vyy3000, vyy400, cdg, cdh)
new_esEs36(vyy1070, vyy1080, ty_Int) → new_esEs19(vyy1070, vyy1080)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(app(ty_@2, edg), edh)) → new_esEs22(vyy30000, vyy4000, edg, edh)
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Float) → new_ltEs15(vyy1070, vyy1080)
new_ltEs13(Left(vyy1070), Right(vyy1080), cee, cef) → True
new_primMulNat0(Zero, Succ(vyy300100)) → Zero
new_primMulNat0(Succ(vyy40000), Zero) → Zero
new_esEs13(GT, EQ) → False
new_esEs13(EQ, GT) → False
new_esEs32(vyy30002, vyy4002, app(ty_Ratio, cfg)) → new_esEs16(vyy30002, vyy4002, cfg)
new_primCmpNat2(vyy30000, Zero) → GT
new_esEs35(vyy1071, vyy1081, app(ty_[], dhb)) → new_esEs14(vyy1071, vyy1081, dhb)
new_esEs9(vyy3002, vyy402, ty_Bool) → new_esEs12(vyy3002, vyy402)
new_esEs29(vyy156, vyy158, ty_Char) → new_esEs17(vyy156, vyy158)
new_ltEs9(vyy107, vyy108) → new_fsEs(new_compare27(vyy107, vyy108))
new_compare0(vyy300, vyy40, app(ty_Maybe, egh)) → new_compare31(vyy300, vyy40, egh)
new_ltEs20(vyy145, vyy148, app(app(ty_@2, bhc), bhd)) → new_ltEs14(vyy145, vyy148, bhc, bhd)
new_ltEs13(Right(vyy1070), Right(vyy1080), cee, ty_@0) → new_ltEs9(vyy1070, vyy1080)
new_esEs15(vyy30000, vyy4000, ty_Integer) → new_esEs26(vyy30000, vyy4000)
new_esEs39(vyy1070, vyy1080, ty_@0) → new_esEs24(vyy1070, vyy1080)
new_primCompAux00(vyy92, vyy93, LT, dec) → LT
new_esEs31(vyy143, vyy146, ty_Int) → new_esEs19(vyy143, vyy146)
new_primCompAux00(vyy92, vyy93, EQ, ty_Int) → new_compare7(vyy92, vyy93)
new_lt20(vyy144, vyy147, app(ty_Maybe, bfe)) → new_lt14(vyy144, vyy147, bfe)
new_ltEs13(Left(vyy1070), Left(vyy1080), ty_Double, cef) → new_ltEs6(vyy1070, vyy1080)
new_ltEs7(vyy157, vyy159, ty_Char) → new_ltEs4(vyy157, vyy159)
new_esEs5(vyy3000, vyy400, ty_Bool) → new_esEs12(vyy3000, vyy400)
new_ltEs24(vyy1071, vyy1081, app(app(ty_Either, fgh), fha)) → new_ltEs13(vyy1071, vyy1081, fgh, fha)
new_esEs33(vyy30001, vyy4001, ty_Double) → new_esEs23(vyy30001, vyy4001)
new_lt23(vyy1070, vyy1080, ty_Char) → new_lt12(vyy1070, vyy1080)
new_esEs8(vyy3000, vyy400, app(ty_Ratio, hc)) → new_esEs16(vyy3000, vyy400, hc)
new_esEs12(False, True) → False
new_esEs12(True, False) → False
new_primCompAux00(vyy92, vyy93, EQ, ty_Bool) → new_compare28(vyy92, vyy93)
new_esEs10(vyy3001, vyy401, ty_Int) → new_esEs19(vyy3001, vyy401)
new_ltEs7(vyy157, vyy159, app(app(ty_Either, dh), ea)) → new_ltEs13(vyy157, vyy159, dh, ea)
new_esEs7(vyy3001, vyy401, app(ty_[], hb)) → new_esEs14(vyy3001, vyy401, hb)
new_esEs29(vyy156, vyy158, ty_Double) → new_esEs23(vyy156, vyy158)
new_esEs35(vyy1071, vyy1081, ty_Ordering) → new_esEs13(vyy1071, vyy1081)
new_esEs35(vyy1071, vyy1081, ty_Int) → new_esEs19(vyy1071, vyy1081)
new_esEs34(vyy30000, vyy4000, app(ty_[], dbd)) → new_esEs14(vyy30000, vyy4000, dbd)
new_ltEs21(vyy107, vyy108, ty_Char) → new_ltEs4(vyy107, vyy108)
new_lt23(vyy1070, vyy1080, app(app(ty_@2, ffh), fga)) → new_lt17(vyy1070, vyy1080, ffh, fga)
new_primCompAux1(vyy300, vyy40, vyy301, vyy41, h) → new_primCompAux00(vyy301, vyy41, new_compare0(vyy300, vyy40, h), app(ty_[], h))
new_esEs6(vyy3000, vyy400, ty_Char) → new_esEs17(vyy3000, vyy400)
new_ltEs22(vyy1072, vyy1082, ty_Double) → new_ltEs6(vyy1072, vyy1082)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, app(ty_[], eea)) → new_esEs14(vyy30000, vyy4000, eea)
new_esEs9(vyy3002, vyy402, app(ty_Maybe, cah)) → new_esEs20(vyy3002, vyy402, cah)
new_compare16(vyy186, vyy187, False, ceb, cec) → GT
new_lt22(vyy1071, vyy1081, app(app(app(ty_@3, dhg), dhh), eaa)) → new_lt4(vyy1071, vyy1081, dhg, dhh, eaa)
new_esEs32(vyy30002, vyy4002, ty_Float) → new_esEs25(vyy30002, vyy4002)
new_esEs32(vyy30002, vyy4002, ty_Double) → new_esEs23(vyy30002, vyy4002)
new_esEs35(vyy1071, vyy1081, app(ty_Ratio, dgh)) → new_esEs16(vyy1071, vyy1081, dgh)
new_ltEs19(vyy114, vyy115, app(app(app(ty_@3, bbg), bbh), bca)) → new_ltEs17(vyy114, vyy115, bbg, bbh, bca)
new_primCompAux00(vyy92, vyy93, EQ, app(app(ty_Either, deg), deh)) → new_compare30(vyy92, vyy93, deg, deh)
new_compare210(vyy121, vyy122, False, fad, fae) → new_compare111(vyy121, vyy122, new_ltEs23(vyy121, vyy122, fae), fad, fae)
new_esEs21(Right(vyy30000), Right(vyy4000), ecg, ty_@0) → new_esEs24(vyy30000, vyy4000)
new_esEs30(vyy144, vyy147, ty_Char) → new_esEs17(vyy144, vyy147)
new_esEs6(vyy3000, vyy400, ty_Integer) → new_esEs26(vyy3000, vyy400)
new_esEs5(vyy3000, vyy400, app(ty_Maybe, dcc)) → new_esEs20(vyy3000, vyy400, dcc)
new_esEs35(vyy1071, vyy1081, ty_Integer) → new_esEs26(vyy1071, vyy1081)
new_esEs37(vyy30001, vyy4001, ty_Integer) → new_esEs26(vyy30001, vyy4001)
new_compare31(Nothing, Just(vyy400), egh) → LT
new_ltEs21(vyy107, vyy108, ty_Integer) → new_ltEs18(vyy107, vyy108)
new_compare111(vyy193, vyy194, True, fbh, fca) → LT
new_ltEs23(vyy121, vyy122, ty_Integer) → new_ltEs18(vyy121, vyy122)
new_esEs5(vyy3000, vyy400, app(app(app(ty_@3, dbh), dca), dcb)) → new_esEs18(vyy3000, vyy400, dbh, dca, dcb)
new_esEs9(vyy3002, vyy402, ty_Ordering) → new_esEs13(vyy3002, vyy402)
new_esEs32(vyy30002, vyy4002, app(ty_Maybe, cgc)) → new_esEs20(vyy30002, vyy4002, cgc)
new_compare27(@0, @0) → EQ
new_primMulNat0(Succ(vyy40000), Succ(vyy300100)) → new_primPlusNat0(new_primMulNat0(vyy40000, Succ(vyy300100)), vyy300100)
new_compare31(Just(vyy3000), Just(vyy400), egh) → new_compare29(vyy3000, vyy400, new_esEs4(vyy3000, vyy400, egh), egh)
new_esEs38(vyy30000, vyy4000, app(ty_Ratio, eff)) → new_esEs16(vyy30000, vyy4000, eff)
new_esEs16(:%(vyy30000, vyy30001), :%(vyy4000, vyy4001), da) → new_asAs(new_esEs28(vyy30000, vyy4000, da), new_esEs27(vyy30001, vyy4001, da))
new_ltEs21(vyy107, vyy108, ty_Float) → new_ltEs15(vyy107, vyy108)
new_ltEs19(vyy114, vyy115, ty_@0) → new_ltEs9(vyy114, vyy115)
new_esEs35(vyy1071, vyy1081, ty_Float) → new_esEs25(vyy1071, vyy1081)
new_esEs33(vyy30001, vyy4001, ty_Bool) → new_esEs12(vyy30001, vyy4001)
new_lt22(vyy1071, vyy1081, ty_Bool) → new_lt9(vyy1071, vyy1081)
new_esEs31(vyy143, vyy146, ty_Bool) → new_esEs12(vyy143, vyy146)
new_ltEs20(vyy145, vyy148, ty_Double) → new_ltEs6(vyy145, vyy148)
new_ltEs12(vyy107, vyy108, bhh) → new_fsEs(new_compare17(vyy107, vyy108, bhh))
new_ltEs7(vyy157, vyy159, ty_Ordering) → new_ltEs16(vyy157, vyy159)
new_esEs20(Just(vyy30000), Just(vyy4000), ty_Bool) → new_esEs12(vyy30000, vyy4000)
new_lt21(vyy1070, vyy1080, ty_Integer) → new_lt18(vyy1070, vyy1080)
new_esEs6(vyy3000, vyy400, app(ty_Maybe, dde)) → new_esEs20(vyy3000, vyy400, dde)
new_compare112(vyy221, vyy222, vyy223, vyy224, vyy225, vyy226, True, fcb, fcc, fcd) → LT
new_primCompAux00(vyy92, vyy93, EQ, ty_Integer) → new_compare8(vyy92, vyy93)
new_lt19(vyy143, vyy146, app(app(ty_@2, beg), beh)) → new_lt17(vyy143, vyy146, beg, beh)
new_ltEs24(vyy1071, vyy1081, ty_Char) → new_ltEs4(vyy1071, vyy1081)
new_esEs4(vyy3000, vyy400, ty_Int) → new_esEs19(vyy3000, vyy400)
new_compare17([], :(vyy400, vyy401), bae) → LT
new_lt16(vyy156, vyy158, fb, fc) → new_esEs13(new_compare30(vyy156, vyy158, fb, fc), LT)
new_ltEs15(vyy107, vyy108) → new_fsEs(new_compare13(vyy107, vyy108))
new_ltEs11(Just(vyy1070), Just(vyy1080), ty_Int) → new_ltEs10(vyy1070, vyy1080)
new_esEs4(vyy3000, vyy400, app(ty_Ratio, da)) → new_esEs16(vyy3000, vyy400, da)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_lt8(vyy156, vyy158, app(app(ty_Either, fb), fc)) → new_lt16(vyy156, vyy158, fb, fc)
new_esEs20(Just(vyy30000), Nothing, eha) → False
new_esEs20(Nothing, Just(vyy4000), eha) → False
new_esEs39(vyy1070, vyy1080, app(ty_[], ffe)) → new_esEs14(vyy1070, vyy1080, ffe)
new_ltEs21(vyy107, vyy108, ty_Double) → new_ltEs6(vyy107, vyy108)
new_primCmpInt(Neg(Succ(vyy30000)), Pos(vyy400)) → LT

The set Q consists of the following terms:

new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs37(x0, x1, ty_@0)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_@0)
new_esEs21(Right(x0), Right(x1), x2, ty_@0)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_lt20(x0, x1, ty_Ordering)
new_ltEs14(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1)
new_lt20(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Float)
new_compare110(x0, x1, True, x2)
new_esEs15(x0, x1, ty_Ordering)
new_compare112(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs32(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs36(x0, x1, ty_Float)
new_esEs37(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs37(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Char)
new_ltEs23(x0, x1, app(ty_[], x2))
new_esEs36(x0, x1, ty_@0)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_esEs37(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Integer)
new_ltEs11(Just(x0), Just(x1), ty_Char)
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(Right(x0), Right(x1), x2, ty_Double)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare14(x0, x1, x2, x3, False, x4, x5, x6)
new_primEqNat0(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Char)
new_lt22(x0, x1, ty_@0)
new_esEs37(x0, x1, app(ty_Ratio, x2))
new_esEs20(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Int)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Char)
new_foldFM_LE0(x0, EmptyFM, x1, x2)
new_compare6(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs20(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Int)
new_foldFM_LE13(x0, x1, x2, x3, x4, Branch(x5, x6, x7, x8, x9), False, x10, x11)
new_lt5(x0, x1)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_ltEs21(x0, x1, ty_Float)
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Right(x1), x2, x3)
new_esEs21(Right(x0), Left(x1), x2, x3)
new_esEs34(x0, x1, ty_Double)
new_esEs17(Char(x0), Char(x1))
new_compare30(Right(x0), Right(x1), x2, x3)
new_primMulNat0(Succ(x0), Zero)
new_lt22(x0, x1, ty_Ordering)
new_esEs38(x0, x1, ty_Int)
new_esEs37(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, app(ty_[], x2))
new_ltEs23(x0, x1, ty_Integer)
new_compare14(x0, x1, x2, x3, True, x4, x5, x6)
new_compare0(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Char)
new_ltEs11(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux00(x0, x1, EQ, ty_Char)
new_esEs15(x0, x1, ty_Float)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs34(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, ty_Double)
new_esEs34(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Float)
new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_foldFM_LE13(x0, x1, x2, x3, x4, x5, True, x6, x7)
new_esEs35(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, x1, EQ, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCompAux00(x0, x1, EQ, ty_Int)
new_esEs7(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_primCompAux00(x0, x1, EQ, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Char)
new_primMulNat0(Zero, Zero)
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Float)
new_lt6(x0, x1)
new_lt23(x0, x1, ty_@0)
new_esEs21(Left(x0), Left(x1), ty_@0, x2)
new_primCmpNat1(Succ(x0), x1)
new_lt14(x0, x1, x2)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(x0, x1, app(ty_[], x2))
new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs11(x0, x1, ty_Double)
new_esEs5(x0, x1, ty_Int)
new_ltEs11(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Bool)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs21(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat2(x0, Zero)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt23(x0, x1, ty_Integer)
new_compare111(x0, x1, True, x2, x3)
new_esEs38(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs36(x0, x1, ty_Bool)
new_esEs20(Just(x0), Just(x1), ty_Bool)
new_esEs30(x0, x1, ty_Char)
new_esEs21(Left(x0), Left(x1), ty_Bool, x2)
new_esEs10(x0, x1, ty_Float)
new_esEs24(@0, @0)
new_lt23(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Int)
new_lt21(x0, x1, ty_Integer)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, ty_Ordering)
new_primPlusNat1(Succ(x0), Zero)
new_compare211(LT, LT, False)
new_esEs39(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_esEs35(x0, x1, ty_Bool)
new_compare0(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_compare18(x0, x1, x2, x3, False, x4, x5)
new_esEs11(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1, ty_Int)
new_esEs26(Integer(x0), Integer(x1))
new_compare0(x0, x1, ty_Float)
new_ltEs16(EQ, EQ)
new_ltEs20(x0, x1, ty_Char)
new_esEs35(x0, x1, ty_Char)
new_lt8(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, x1, EQ, ty_Double)
new_ltEs23(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs39(x0, x1, ty_Char)
new_ltEs16(LT, LT)
new_primCompAux00(x0, x1, EQ, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Left(x1), ty_Integer, x2)
new_esEs21(Right(x0), Right(x1), x2, ty_Integer)
new_compare17([], :(x0, x1), x2)
new_ltEs20(x0, x1, ty_@0)
new_ltEs11(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, ty_Ordering)
new_compare0(x0, x1, ty_Char)
new_esEs20(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primEqNat0(Succ(x0), Succ(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare211(LT, EQ, False)
new_compare211(EQ, LT, False)
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Zero, Succ(x0))
new_esEs20(Just(x0), Nothing, x1)
new_compare211(GT, GT, False)
new_fmToList_LE0(x0, x1, x2, x3, x4)
new_lt8(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_compare29(x0, x1, True, x2)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, ty_Bool)
new_fsEs(x0)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs4(x0, x1, ty_@0)
new_lt8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt23(x0, x1, ty_Double)
new_esEs33(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs15(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Ordering)
new_compare16(x0, x1, False, x2, x3)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(Nothing, Nothing, x0)
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs16(GT, GT)
new_esEs6(x0, x1, ty_Int)
new_ltEs7(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs34(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_@0)
new_primPlusNat0(Zero, x0)
new_esEs37(x0, x1, ty_Int)
new_esEs35(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Bool)
new_esEs15(x0, x1, ty_Integer)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt22(x0, x1, app(ty_Ratio, x2))
new_esEs38(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Integer)
new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs24(x0, x1, ty_Float)
new_compare211(EQ, EQ, False)
new_esEs9(x0, x1, app(ty_[], x2))
new_ltEs11(Just(x0), Just(x1), ty_Integer)
new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_esEs21(Left(x0), Left(x1), ty_Double, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs4(x0, x1, ty_Integer)
new_esEs37(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Char)
new_primCompAux00(x0, x1, LT, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, ty_Char)
new_esEs7(x0, x1, ty_Ordering)
new_esEs13(LT, LT)
new_ltEs19(x0, x1, ty_Bool)
new_lt15(x0, x1, x2)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_[], x2))
new_esEs12(True, False)
new_esEs12(False, True)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs21(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs15(x0, x1, app(ty_Ratio, x2))
new_compare24(x0, x1, x2, x3, False, x4, x5)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs5(x0, x1, x2)
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs15(x0, x1, ty_Bool)
new_compare19(x0, x1, x2, x3, x4, x5, False, x6, x7, x8, x9)
new_esEs6(x0, x1, app(ty_[], x2))
new_esEs20(Just(x0), Just(x1), ty_Int)
new_esEs21(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_lt8(x0, x1, ty_Ordering)
new_esEs15(x0, x1, ty_Char)
new_ltEs10(x0, x1)
new_compare6(:%(x0, x1), :%(x2, x3), ty_Integer)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs30(x0, x1, ty_Float)
new_not(True)
new_esEs37(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_Integer)
new_ltEs16(GT, EQ)
new_ltEs16(EQ, GT)
new_esEs7(x0, x1, ty_Bool)
new_esEs38(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs31(x0, x1, ty_Int)
new_not(False)
new_lt21(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Double)
new_ltEs16(EQ, LT)
new_ltEs16(LT, EQ)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs11(Just(x0), Just(x1), ty_Bool)
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_lt9(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_compare211(x0, x1, True)
new_ltEs6(x0, x1)
new_esEs6(x0, x1, ty_Ordering)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Bool)
new_ltEs7(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Integer)
new_lt8(x0, x1, ty_Char)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_ltEs23(x0, x1, ty_Bool)
new_esEs33(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Char)
new_ltEs23(x0, x1, ty_Double)
new_compare17(:(x0, x1), :(x2, x3), x4)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs32(x0, x1, ty_@0)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs38(x0, x1, app(app(ty_Either, x2), x3))
new_compare0(x0, x1, app(app(ty_@2, x2), x3))
new_lt8(x0, x1, ty_Float)
new_compare27(@0, @0)
new_esEs6(x0, x1, ty_Char)
new_ltEs18(x0, x1)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs39(x0, x1, ty_@0)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_sr0(Integer(x0), Integer(x1))
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, app(app(ty_@2, x2), x3))
new_esEs20(Just(x0), Just(x1), ty_Float)
new_lt20(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs11(Just(x0), Nothing, x1)
new_compare19(x0, x1, x2, x3, x4, x5, True, x6, x7, x8, x9)
new_esEs29(x0, x1, ty_Ordering)
new_compare0(x0, x1, app(ty_[], x2))
new_ltEs7(x0, x1, app(ty_Ratio, x2))
new_lt13(x0, x1)
new_primCompAux00(x0, x1, GT, x2)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_Double)
new_esEs37(x0, x1, ty_Double)
new_pePe(False, x0)
new_esEs36(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs36(x0, x1, ty_Char)
new_ltEs7(x0, x1, ty_Int)
new_esEs38(x0, x1, ty_Float)
new_lt23(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_compare31(Just(x0), Just(x1), x2)
new_esEs32(x0, x1, ty_Float)
new_esEs15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Char)
new_esEs38(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Float)
new_compare0(x0, x1, ty_Ordering)
new_esEs15(x0, x1, ty_Int)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs38(x0, x1, ty_Char)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_esEs22(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare0(x0, x1, ty_Integer)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs19(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_foldFM_LE12(x0, x1, x2, x3, x4, x5, x6, x7)
new_esEs21(Left(x0), Left(x1), ty_Float, x2)
new_lt8(x0, x1, app(ty_Maybe, x2))
new_compare13(Float(x0, x1), Float(x2, x3))
new_ltEs24(x0, x1, ty_@0)
new_esEs7(x0, x1, ty_Int)
new_esEs12(False, False)
new_lt17(x0, x1, x2, x3)
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt10(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs14([], :(x0, x1), x2)
new_lt8(x0, x1, ty_Integer)
new_esEs13(GT, GT)
new_ltEs7(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_[], x2))
new_compare7(x0, x1)
new_esEs39(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(x0, x1, app(ty_[], x2))
new_esEs37(x0, x1, ty_Char)
new_lt12(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs7(x0, x1, ty_Float)
new_esEs33(x0, x1, ty_Bool)
new_lt19(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_esEs20(Just(x0), Just(x1), ty_Integer)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare110(x0, x1, False, x2)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs9(x0, x1, ty_@0)
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Bool)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs7(x0, x1, ty_Integer)
new_ltEs8(True, True)
new_ltEs23(x0, x1, ty_@0)
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(Left(x0), Left(x1), ty_Int, x2)
new_esEs31(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_compare26(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs14(:(x0, x1), :(x2, x3), x4)
new_esEs39(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs20(Just(x0), Just(x1), ty_Double)
new_ltEs23(x0, x1, ty_Char)
new_ltEs23(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs21(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare9(Char(x0), Char(x1))
new_esEs7(x0, x1, ty_Double)
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, ty_Double)
new_esEs20(Just(x0), Just(x1), ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs8(x0, x1, ty_@0)
new_primCompAux1(x0, x1, x2, x3, x4)
new_esEs31(x0, x1, ty_Bool)
new_esEs15(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_asAs(False, x0)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_ltEs7(x0, x1, ty_Ordering)
new_esEs8(x0, x1, ty_Int)
new_lt8(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs18(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_foldFM_LE0(x0, Branch(x1, x2, x3, x4, x5), x6, x7)
new_esEs8(x0, x1, ty_Ordering)
new_compare26(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs11(Nothing, Just(x0), x1)
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_@0)
new_compare28(True, True)
new_ltEs4(x0, x1)
new_ltEs11(Just(x0), Just(x1), ty_Int)
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt21(x0, x1, ty_Float)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, ty_Integer)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Ordering)
new_lt11(x0, x1, x2)
new_compare17(:(x0, x1), [], x2)
new_esEs38(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_@0)
new_primCompAux00(x0, x1, EQ, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, ty_Int)
new_lt16(x0, x1, x2, x3)
new_esEs21(Left(x0), Left(x1), ty_Char, x2)
new_ltEs20(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_@0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Double)
new_compare211(GT, EQ, False)
new_compare211(EQ, GT, False)
new_primCmpNat2(x0, Succ(x1))
new_foldFM_LE13(x0, x1, x2, x3, x4, EmptyFM, False, x5, x6)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_@0)
new_esEs23(Double(x0, x1), Double(x2, x3))
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Double)
new_esEs13(EQ, EQ)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs33(x0, x1, ty_Char)
new_primPlusNat0(Succ(x0), x1)
new_compare211(LT, GT, False)
new_compare211(GT, LT, False)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs7(x0, x1, ty_Char)
new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, ty_Char)
new_ltEs11(Just(x0), Just(x1), ty_Double)
new_esEs10(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(:(x0, x1), [], x2)
new_esEs25(Float(x0, x1), Float(x2, x3))
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, app(ty_[], x2))
new_esEs37(x0, x1, ty_Integer)
new_lt23(x0, x1, ty_Bool)
new_lt18(x0, x1)
new_esEs39(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_Double)
new_esEs20(Nothing, Just(x0), x1)
new_esEs29(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_esEs10(x0, x1, ty_Double)
new_primMulNat0(Zero, Succ(x0))
new_compare0(x0, x1, ty_Int)
new_esEs37(x0, x1, app(ty_Maybe, x2))
new_primCompAux00(x0, x1, EQ, ty_Bool)
new_esEs33(x0, x1, app(ty_[], x2))
new_compare0(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_pePe(True, x0)
new_compare28(False, False)
new_lt20(x0, x1, ty_@0)
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_compare25(x0, x1, True, x2, x3)
new_lt4(x0, x1, x2, x3, x4)
new_esEs10(x0, x1, ty_Ordering)
new_compare17([], [], x0)
new_esEs39(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Bool)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(LT, GT)
new_ltEs16(GT, LT)
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_ltEs11(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Bool)
new_esEs21(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs12(True, True)
new_ltEs8(False, False)
new_esEs38(x0, x1, ty_Double)
new_compare31(Nothing, Nothing, x0)
new_compare18(x0, x1, x2, x3, True, x4, x5)
new_compare0(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_compare112(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs34(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs8(False, True)
new_ltEs8(True, False)
new_compare28(True, False)
new_compare28(False, True)
new_lt21(x0, x1, ty_Int)
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs15(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Integer)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare29(x0, x1, False, x2)
new_lt20(x0, x1, ty_Float)
new_compare31(Just(x0), Nothing, x1)
new_esEs4(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_ltEs11(Just(x0), Just(x1), app(ty_[], x2))
new_esEs21(Right(x0), Right(x1), x2, ty_Char)
new_sr(x0, x1)
new_esEs20(Just(x0), Just(x1), ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs21(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs10(x0, x1, ty_Bool)
new_esEs15(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False, x2, x3)
new_esEs7(x0, x1, ty_@0)
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux00(x0, x1, EQ, app(ty_[], x2))
new_esEs4(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs38(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_foldFM_LE14(x0, x1, x2, x3, x4, x5, x6, x7, x8)
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Int)
new_lt7(x0, x1)
new_esEs20(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare11(x0, x1)
new_compare0(x0, x1, ty_Bool)
new_esEs21(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs7(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, ty_Double)
new_compare16(x0, x1, True, x2, x3)
new_esEs34(x0, x1, ty_Char)
new_esEs14([], [], x0)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs22(x0, x1, ty_Ordering)
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(Right(x0), Right(x1), x2, ty_Int)
new_esEs20(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs37(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs11(Just(x0), Just(x1), ty_@0)
new_primCmpNat1(Zero, x0)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs34(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, ty_Int)
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(Right(x0), Right(x1), x2, ty_Float)
new_compare0(x0, x1, ty_@0)
new_primCmpNat0(Zero, Zero)
new_esEs8(x0, x1, ty_Bool)
new_primCompAux00(x0, x1, EQ, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_Char)
new_ltEs12(x0, x1, x2)
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Int)
new_esEs33(x0, x1, ty_Int)
new_lt8(x0, x1, ty_Double)
new_ltEs22(x0, x1, ty_Float)
new_esEs10(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1, ty_Double)
new_compare8(Integer(x0), Integer(x1))
new_esEs38(x0, x1, app(ty_Maybe, x2))
new_esEs6(x0, x1, ty_Float)
new_ltEs22(x0, x1, ty_Integer)
new_compare12(Double(x0, x1), Double(x2, x3))
new_lt8(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_@0)
new_lt19(x0, x1, ty_Char)
new_primCmpNat0(Succ(x0), Succ(x1))
new_compare30(Left(x0), Left(x1), x2, x3)
new_ltEs15(x0, x1)
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs4(x0, x1, ty_Int)
new_asAs(True, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs39(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(x0, x1, ty_Char)
new_esEs5(x0, x1, ty_Float)
new_esEs35(x0, x1, ty_Float)
new_ltEs24(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, ty_Float)
new_lt22(x0, x1, ty_Integer)
new_esEs31(x0, x1, app(ty_[], x2))
new_primCompAux00(x0, x1, EQ, ty_@0)
new_compare31(Nothing, Just(x0), x1)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs38(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_lt23(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, app(ty_[], x2))
new_esEs13(EQ, LT)
new_esEs13(LT, EQ)
new_esEs7(x0, x1, ty_Char)
new_ltEs11(Nothing, Nothing, x0)
new_esEs29(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Double)
new_ltEs11(Just(x0), Just(x1), ty_Float)
new_compare25(x0, x1, False, x2, x3)
new_lt21(x0, x1, ty_Double)
new_lt22(x0, x1, ty_Char)
new_compare10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, ty_Integer)
new_esEs21(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs24(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_compare24(x0, x1, x2, x3, True, x4, x5)
new_ltEs22(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_lt8(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Double)
new_ltEs11(Just(x0), Just(x1), ty_Ordering)
new_lt21(x0, x1, ty_Bool)
new_compare0(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, app(ty_Maybe, x2))
new_lt8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_Char)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs23(x0, x1, ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs9(x0, x1)
new_esEs20(Just(x0), Just(x1), ty_Char)
new_esEs5(x0, x1, ty_Bool)
new_compare30(Right(x0), Left(x1), x2, x3)
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_compare30(Left(x0), Right(x1), x2, x3)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Integer)
new_lt19(x0, x1, ty_Float)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs9(x0, x1, ty_Double)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_lt22(x0, x1, ty_Bool)
new_esEs38(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Int)
new_ltEs11(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt21(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Integer)
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_Double)
new_ltEs24(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Double)
new_ltEs22(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs39(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_@0)
new_esEs35(x0, x1, ty_Integer)

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
                                    ↳ UsableRulesProof
                                      ↳ QDP
                                        ↳ QReductionProof
                                  ↳ QDP
                                  ↳ QDP

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

new_foldFM_LE10(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, vyy102, h, ba) → new_foldFM_LE11(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_esEs13(vyy102, GT), h, ba)
new_foldFM_LE11(vyy36, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE1(new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE0(vyy36, vyy343, h, ba), h, ba), vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba)
new_foldFM_LE11(vyy36, vyy340, vyy341, vyy342, vyy343, EmptyFM, False, h, ba) → new_foldFM_LE(vyy36, vyy343, h, ba)
new_foldFM_LE1(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba) → new_foldFM_LE10(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_compare17(vyy3440, [], h), h, ba)
new_foldFM_LE11(vyy36, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE(vyy36, vyy343, h, ba)
new_foldFM_LE(vyy36, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), h, ba) → new_foldFM_LE1(vyy36, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_foldFM_LE11(vyy36, vyy340, vyy341, vyy342, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), vyy344, True, h, ba) → new_foldFM_LE1(vyy36, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)

The TRS R consists of the following rules:

new_foldFM_LE0(vyy36, EmptyFM, h, ba) → vyy36
new_foldFM_LE13(vyy36, vyy340, vyy341, vyy342, vyy343, vyy344, True, h, ba) → new_foldFM_LE0(vyy36, vyy343, h, ba)
new_foldFM_LE13(vyy36, vyy340, vyy341, vyy342, vyy343, Branch(vyy3440, vyy3441, vyy3442, vyy3443, vyy3444), False, h, ba) → new_foldFM_LE12(new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE0(vyy36, vyy343, h, ba), h, ba), vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba)
new_foldFM_LE0(vyy36, Branch(vyy3430, vyy3431, vyy3432, vyy3433, vyy3434), h, ba) → new_foldFM_LE12(vyy36, vyy3430, vyy3431, vyy3432, vyy3433, vyy3434, h, ba)
new_foldFM_LE14(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, vyy102, h, ba) → new_foldFM_LE13(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_esEs13(vyy102, GT), h, ba)
new_foldFM_LE12(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, h, ba) → new_foldFM_LE14(vyy99, vyy3440, vyy3441, vyy3442, vyy3443, vyy3444, new_compare17(vyy3440, [], h), h, ba)
new_fmToList_LE0(vyy340, vyy341, vyy96, h, ba) → :(@2(vyy340, vyy341), vyy96)
new_compare17([], [], bae) → EQ
new_compare17(:(vyy3000, vyy3001), [], bae) → GT
new_esEs13(LT, GT) → False
new_esEs13(GT, GT) → True
new_esEs13(EQ, GT) → False
new_foldFM_LE13(vyy36, vyy340, vyy341, vyy342, vyy343, EmptyFM, False, h, ba) → new_fmToList_LE0(vyy340, vyy341, new_foldFM_LE0(vyy36, vyy343, h, ba), h, ba)

The set Q consists of the following terms:

new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs37(x0, x1, ty_@0)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_@0)
new_esEs21(Right(x0), Right(x1), x2, ty_@0)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_lt20(x0, x1, ty_Ordering)
new_ltEs14(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(x0, x1)
new_lt20(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Float)
new_compare110(x0, x1, True, x2)
new_esEs15(x0, x1, ty_Ordering)
new_compare112(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs32(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs36(x0, x1, ty_Float)
new_esEs37(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs37(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Char)
new_ltEs23(x0, x1, app(ty_[], x2))
new_esEs36(x0, x1, ty_@0)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_esEs37(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Integer)
new_ltEs11(Just(x0), Just(x1), ty_Char)
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(Right(x0), Right(x1), x2, ty_Double)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_compare14(x0, x1, x2, x3, False, x4, x5, x6)
new_primEqNat0(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Char)
new_lt22(x0, x1, ty_@0)
new_esEs37(x0, x1, app(ty_Ratio, x2))
new_esEs20(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Int)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Char)
new_foldFM_LE0(x0, EmptyFM, x1, x2)
new_compare6(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs20(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Int)
new_foldFM_LE13(x0, x1, x2, x3, x4, Branch(x5, x6, x7, x8, x9), False, x10, x11)
new_lt5(x0, x1)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_ltEs21(x0, x1, ty_Float)
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Right(x1), x2, x3)
new_esEs21(Right(x0), Left(x1), x2, x3)
new_esEs34(x0, x1, ty_Double)
new_esEs17(Char(x0), Char(x1))
new_compare30(Right(x0), Right(x1), x2, x3)
new_primMulNat0(Succ(x0), Zero)
new_lt22(x0, x1, ty_Ordering)
new_esEs38(x0, x1, ty_Int)
new_esEs37(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, app(ty_[], x2))
new_ltEs23(x0, x1, ty_Integer)
new_compare14(x0, x1, x2, x3, True, x4, x5, x6)
new_compare0(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Char)
new_ltEs11(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux00(x0, x1, EQ, ty_Char)
new_esEs15(x0, x1, ty_Float)
new_esEs13(LT, GT)
new_esEs13(GT, LT)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs34(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, ty_Double)
new_esEs34(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Float)
new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_foldFM_LE13(x0, x1, x2, x3, x4, x5, True, x6, x7)
new_esEs35(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, x1, EQ, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCompAux00(x0, x1, EQ, ty_Int)
new_esEs7(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs13(EQ, GT)
new_esEs13(GT, EQ)
new_primCompAux00(x0, x1, EQ, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Char)
new_primMulNat0(Zero, Zero)
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Float)
new_lt6(x0, x1)
new_lt23(x0, x1, ty_@0)
new_esEs21(Left(x0), Left(x1), ty_@0, x2)
new_primCmpNat1(Succ(x0), x1)
new_lt14(x0, x1, x2)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(x0, x1, app(ty_[], x2))
new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs11(x0, x1, ty_Double)
new_esEs5(x0, x1, ty_Int)
new_ltEs11(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Bool)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs21(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpNat2(x0, Zero)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt23(x0, x1, ty_Integer)
new_compare111(x0, x1, True, x2, x3)
new_esEs38(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs36(x0, x1, ty_Bool)
new_esEs20(Just(x0), Just(x1), ty_Bool)
new_esEs30(x0, x1, ty_Char)
new_esEs21(Left(x0), Left(x1), ty_Bool, x2)
new_esEs10(x0, x1, ty_Float)
new_esEs24(@0, @0)
new_lt23(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Int)
new_lt21(x0, x1, ty_Integer)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, x1, EQ, ty_Ordering)
new_primPlusNat1(Succ(x0), Zero)
new_compare211(LT, LT, False)
new_esEs39(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Int)
new_esEs35(x0, x1, ty_Bool)
new_compare0(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_compare18(x0, x1, x2, x3, False, x4, x5)
new_esEs11(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1, ty_Int)
new_esEs26(Integer(x0), Integer(x1))
new_compare0(x0, x1, ty_Float)
new_ltEs16(EQ, EQ)
new_ltEs20(x0, x1, ty_Char)
new_esEs35(x0, x1, ty_Char)
new_lt8(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, x1, EQ, ty_Double)
new_ltEs23(x0, x1, ty_Int)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs39(x0, x1, ty_Char)
new_ltEs16(LT, LT)
new_primCompAux00(x0, x1, EQ, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs21(Left(x0), Left(x1), ty_Integer, x2)
new_esEs21(Right(x0), Right(x1), x2, ty_Integer)
new_compare17([], :(x0, x1), x2)
new_ltEs20(x0, x1, ty_@0)
new_ltEs11(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, ty_Ordering)
new_compare0(x0, x1, ty_Char)
new_esEs20(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primEqNat0(Succ(x0), Succ(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare211(LT, EQ, False)
new_compare211(EQ, LT, False)
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Zero, Succ(x0))
new_esEs20(Just(x0), Nothing, x1)
new_compare211(GT, GT, False)
new_fmToList_LE0(x0, x1, x2, x3, x4)
new_lt8(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, ty_Float)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_compare29(x0, x1, True, x2)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, ty_Bool)
new_fsEs(x0)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs4(x0, x1, ty_@0)
new_lt8(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt23(x0, x1, ty_Double)
new_esEs33(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs15(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Ordering)
new_compare16(x0, x1, False, x2, x3)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(:%(x0, x1), :%(x2, x3), x4)
new_esEs20(Nothing, Nothing, x0)
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs16(GT, GT)
new_esEs6(x0, x1, ty_Int)
new_ltEs7(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(x0, x1, app(ty_[], x2))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs34(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_@0)
new_primPlusNat0(Zero, x0)
new_esEs37(x0, x1, ty_Int)
new_esEs35(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Bool)
new_esEs15(x0, x1, ty_Integer)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt22(x0, x1, app(ty_Ratio, x2))
new_esEs38(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Integer)
new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs24(x0, x1, ty_Float)
new_compare211(EQ, EQ, False)
new_esEs9(x0, x1, app(ty_[], x2))
new_ltEs11(Just(x0), Just(x1), ty_Integer)
new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_esEs21(Left(x0), Left(x1), ty_Double, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs4(x0, x1, ty_Integer)
new_esEs37(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Char)
new_primCompAux00(x0, x1, LT, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, ty_Char)
new_esEs7(x0, x1, ty_Ordering)
new_esEs13(LT, LT)
new_ltEs19(x0, x1, ty_Bool)
new_lt15(x0, x1, x2)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_[], x2))
new_esEs12(True, False)
new_esEs12(False, True)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_Maybe, x2))
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