YES 4.772 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/empty.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:



↳ HASKELL
  ↳ CR

mainModule Main
  (((<=) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool)

module Main where
  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
  ↳ CR
    ↳ HASKELL
      ↳ IFR

mainModule Main
  (((<=) :: (Ord a, Ord b) => (a,b)  ->  (a,b)  ->  Bool) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool)

module Main where
  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
  ↳ CR
    ↳ HASKELL
      ↳ IFR
        ↳ HASKELL
          ↳ BR

mainModule Main
  (((<=) :: (Ord a, Ord b) => (a,b)  ->  (a,b)  ->  Bool) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool)

module Main where
  import qualified Prelude


Replaced joker patterns by fresh variables and removed binding patterns.

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

mainModule Main
  (((<=) :: (Ord a, Ord b) => (a,b)  ->  (a,b)  ->  Bool) :: (Ord a, Ord b) => (a,b)  ->  (a,b)  ->  Bool)

module Main where
  import qualified Prelude


Cond Reductions:
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

compare0 x y True = GT

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

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

compare3 x y = compare2 x y (x == y)

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

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

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x zx = x
gcd'1 zy zz vuu = gcd'0 zz vuu

gcd'2 x zx = gcd'1 (zx == 0) x zx
gcd'2 vuv vuw = gcd'0 vuv vuw

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 vux vuy = gcd3 vux vuy
gcd x y = gcd0 x y

gcd0 x y = 
gcd' (abs x) (abs y)
where 
gcd' x zx = gcd'2 x zx
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x zx = x
gcd'1 zy zz vuu = gcd'0 zz vuu
gcd'2 x zx = gcd'1 (zx == 0) x zx
gcd'2 vuv vuw = gcd'0 vuv vuw

gcd1 True vux vuy = error []
gcd1 vuz vvu vvv = gcd0 vvu vvv

gcd2 True vux vuy = gcd1 (vuy == 0) vux vuy
gcd2 vvw vvx vvy = gcd0 vvx vvy

gcd3 vux vuy = gcd2 (vux == 0) vux vuy
gcd3 vvz vwu = gcd0 vvz vwu

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

is transformed to
absReal x = absReal2 x

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

absReal0 x True = `negate` x

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False

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

is transformed to
reduce x y = reduce2 x y

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



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

mainModule Main
  (((<=) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool)

module Main where
  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
reduce2D vwv vww = gcd vwv vww

reduce2Reduce1 vwv vww x y True = error []
reduce2Reduce1 vwv vww x y False = reduce2Reduce0 vwv vww x y otherwise

reduce2Reduce0 vwv vww x y True = x `quot` reduce2D vwv vww :% (y `quot` reduce2D vwv vww)

The bindings of the following Let/Where expression
gcd' (abs x) (abs y)
where 
gcd' x zx = gcd'2 x zx
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x zx = x
gcd'1 zy zz vuu = gcd'0 zz vuu
gcd'2 x zx = gcd'1 (zx == 0) x zx
gcd'2 vuv vuw = gcd'0 vuv vuw

are unpacked to the following functions on top level
gcd0Gcd'1 True x zx = x
gcd0Gcd'1 zy zz vuu = gcd0Gcd'0 zz vuu

gcd0Gcd'2 x zx = gcd0Gcd'1 (zx == 0) x zx
gcd0Gcd'2 vuv vuw = gcd0Gcd'0 vuv vuw

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

gcd0Gcd' x zx = gcd0Gcd'2 x zx
gcd0Gcd' x y = gcd0Gcd'0 x y



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

mainModule Main
  (((<=) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool)

module Main where
  import qualified Prelude


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

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

mainModule Main
  ((<=) :: (Ord b, Ord a) => (a,b)  ->  (a,b)  ->  Bool)

module Main where
  import qualified Prelude


Haskell To QDPs


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

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

new_primEqNat(Succ(vwx3000), Succ(vwx4000)) → new_primEqNat(vwx3000, vwx4000)

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

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

new_primPlusNat(Succ(vwx14000), Succ(vwx401000)) → new_primPlusNat(vwx14000, vwx401000)

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

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

new_primMulNat(Succ(vwx30100), Succ(vwx40100)) → new_primMulNat(vwx30100, Succ(vwx40100))

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

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

new_primCmpNat(Succ(vwx3000), Succ(vwx4000)) → new_primCmpNat(vwx3000, vwx4000)

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

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

new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), app(app(ty_@2, cc), cd), ce) → new_esEs(vwx300, vwx400, cc, cd)
new_esEs1(Right(vwx300), Right(vwx400), gb, app(ty_Maybe, ge)) → new_esEs0(vwx300, vwx400, ge)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, bag, app(app(ty_@2, bah), bba)) → new_esEs(vwx302, vwx402, bah, bba)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), ba, app(ty_[], bg)) → new_esEs2(vwx301, vwx401, bg)
new_esEs1(Left(vwx300), Left(vwx400), app(ty_[], ff), fa) → new_esEs2(vwx300, vwx400, ff)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, bag, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs3(vwx302, vwx402, bbf, bbg, bbh)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, app(app(ty_@2, bca), bcb), bcc) → new_esEs(vwx301, vwx401, bca, bcb)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, app(ty_Maybe, bcd), bcc) → new_esEs0(vwx301, vwx401, bcd)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(app(ty_@2, bdc), bdd), bag, bcc) → new_esEs(vwx300, vwx400, bdc, bdd)
new_esEs0(Just(vwx300), Just(vwx400), app(ty_Maybe, dh)) → new_esEs0(vwx300, vwx400, dh)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, bag, app(ty_Maybe, bbb)) → new_esEs0(vwx302, vwx402, bbb)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(ty_[], bdh), bag, bcc) → new_esEs2(vwx300, vwx400, bdh)
new_esEs1(Left(vwx300), Left(vwx400), app(app(ty_Either, fc), fd), fa) → new_esEs1(vwx300, vwx400, fc, fd)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), ba, app(ty_Maybe, bd)) → new_esEs0(vwx301, vwx401, bd)
new_esEs1(Right(vwx300), Right(vwx400), gb, app(app(ty_Either, gf), gg)) → new_esEs1(vwx300, vwx400, gf, gg)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(app(ty_Either, bdf), bdg), bag, bcc) → new_esEs1(vwx300, vwx400, bdf, bdg)
new_esEs2(:(vwx300, vwx301), :(vwx400, vwx401), app(ty_Maybe, he)) → new_esEs0(vwx300, vwx400, he)
new_esEs1(Left(vwx300), Left(vwx400), app(ty_Maybe, fb), fa) → new_esEs0(vwx300, vwx400, fb)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, app(app(ty_Either, bce), bcf), bcc) → new_esEs1(vwx301, vwx401, bce, bcf)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, app(app(app(ty_@3, bch), bda), bdb), bcc) → new_esEs3(vwx301, vwx401, bch, bda, bdb)
new_esEs0(Just(vwx300), Just(vwx400), app(app(ty_@2, df), dg)) → new_esEs(vwx300, vwx400, df, dg)
new_esEs0(Just(vwx300), Just(vwx400), app(app(app(ty_@3, ed), ee), ef)) → new_esEs3(vwx300, vwx400, ed, ee, ef)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), app(ty_Maybe, cf), ce) → new_esEs0(vwx300, vwx400, cf)
new_esEs1(Right(vwx300), Right(vwx400), gb, app(app(ty_@2, gc), gd)) → new_esEs(vwx300, vwx400, gc, gd)
new_esEs0(Just(vwx300), Just(vwx400), app(app(ty_Either, ea), eb)) → new_esEs1(vwx300, vwx400, ea, eb)
new_esEs1(Right(vwx300), Right(vwx400), gb, app(app(app(ty_@3, ha), hb), hc)) → new_esEs3(vwx300, vwx400, ha, hb, hc)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), ba, app(app(ty_Either, be), bf)) → new_esEs1(vwx301, vwx401, be, bf)
new_esEs2(:(vwx300, vwx301), :(vwx400, vwx401), app(app(ty_Either, bab), bac)) → new_esEs1(vwx300, vwx400, bab, bac)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), ba, app(app(app(ty_@3, bh), ca), cb)) → new_esEs3(vwx301, vwx401, bh, ca, cb)
new_esEs2(:(vwx300, vwx301), :(vwx400, vwx401), hd) → new_esEs2(vwx301, vwx401, hd)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, app(ty_[], bcg), bcc) → new_esEs2(vwx301, vwx401, bcg)
new_esEs2(:(vwx300, vwx301), :(vwx400, vwx401), app(app(ty_@2, bad), bae)) → new_esEs(vwx300, vwx400, bad, bae)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), ba, app(app(ty_@2, bb), bc)) → new_esEs(vwx301, vwx401, bb, bc)
new_esEs2(:(vwx300, vwx301), :(vwx400, vwx401), app(ty_[], hf)) → new_esEs2(vwx300, vwx400, hf)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(ty_Maybe, bde), bag, bcc) → new_esEs0(vwx300, vwx400, bde)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, bag, app(ty_[], bbe)) → new_esEs2(vwx302, vwx402, bbe)
new_esEs1(Left(vwx300), Left(vwx400), app(app(ty_@2, eg), eh), fa) → new_esEs(vwx300, vwx400, eg, eh)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), baf, bag, app(app(ty_Either, bbc), bbd)) → new_esEs1(vwx302, vwx402, bbc, bbd)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), app(app(app(ty_@3, dc), dd), de), ce) → new_esEs3(vwx300, vwx400, dc, dd, de)
new_esEs1(Right(vwx300), Right(vwx400), gb, app(ty_[], gh)) → new_esEs2(vwx300, vwx400, gh)
new_esEs2(:(vwx300, vwx301), :(vwx400, vwx401), app(app(app(ty_@3, hg), hh), baa)) → new_esEs3(vwx300, vwx400, hg, hh, baa)
new_esEs1(Left(vwx300), Left(vwx400), app(app(app(ty_@3, fg), fh), ga), fa) → new_esEs3(vwx300, vwx400, fg, fh, ga)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), app(app(ty_Either, cg), da), ce) → new_esEs1(vwx300, vwx400, cg, da)
new_esEs0(Just(vwx300), Just(vwx400), app(ty_[], ec)) → new_esEs2(vwx300, vwx400, ec)
new_esEs3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(app(app(ty_@3, bea), beb), bec), bag, bcc) → new_esEs3(vwx300, vwx400, bea, beb, bec)
new_esEs(@2(vwx300, vwx301), @2(vwx400, vwx401), app(ty_[], db), ce) → new_esEs2(vwx300, vwx400, db)

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

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

new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(app(app(ty_@3, bae), baf), bag)), bac)) → new_ltEs1(vwx310, vwx410, bae, baf, bag)
new_lt2(Left(vwx300), Left(vwx400), bdb, bdc) → new_compare22(vwx300, vwx400, new_esEs8(vwx300, vwx400, bdb), bdb, bdc)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(ty_Maybe, bbe)) → new_ltEs(vwx310, vwx410, bbe)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(app(app(ty_@3, gb), gc), gd), fh) → new_lt1(vwx311, vwx411, gb, gc, gd)
new_ltEs3(@2(Right(vwx300), vwx31), @2(Right(vwx400), vwx41), app(app(ty_Either, bdb), bdc), bda) → new_compare23(vwx300, vwx400, new_esEs9(vwx300, vwx400, bdc), bdb, bdc)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(ty_Maybe, fg)), fh)) → new_lt(vwx311, vwx411, fg)
new_ltEs3(@2(:(vwx300, vwx301), vwx31), @2(:(vwx400, vwx401), vwx41), app(ty_[], cc), bda) → new_compare(vwx301, vwx401, cc)
new_compare24(vwx300, vwx301, vwx400, vwx401, False, bdd, bde) → new_ltEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(app(ty_@2, hh), baa)), ed), fh)) → new_lt3(vwx310, vwx410, hh, baa)
new_ltEs2(Left(vwx310), Left(vwx410), app(app(ty_Either, bah), bba), bac) → new_ltEs2(vwx310, vwx410, bah, bba)
new_ltEs(Just(vwx310), Just(vwx410), app(ty_[], bb)) → new_ltEs0(vwx310, vwx410, bb)
new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(ty_Maybe, bab)), bac)) → new_ltEs(vwx310, vwx410, bab)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(app(ty_@2, bcd), bce))) → new_ltEs3(vwx310, vwx410, bcd, bce)
new_ltEs3(@2(@2(vwx300, vwx301), vwx31), @2(@2(vwx400, vwx401), vwx41), app(app(ty_@2, bdd), bde), bda) → new_compare24(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs11(vwx300, vwx400, bdd), new_esEs10(vwx301, vwx401, bde)), bdd, bde)
new_primCompAux(vwx300, vwx400, vwx96, app(ty_[], ce)) → new_compare(vwx300, vwx400, ce)
new_lt0(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_primCompAux(vwx300, vwx400, new_compare0(vwx301, vwx401, cc), cc)
new_compare1(Just(vwx300), Just(vwx400), df) → new_compare20(vwx300, vwx400, new_esEs4(vwx300, vwx400, df), df)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(app(app(ty_@3, gb), gc), gd)), fh)) → new_lt1(vwx311, vwx411, gb, gc, gd)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(ty_Maybe, ba))) → new_ltEs(vwx310, vwx410, ba)
new_compare3(Left(vwx300), Left(vwx400), bdb, bdc) → new_compare22(vwx300, vwx400, new_esEs8(vwx300, vwx400, bdb), bdb, bdc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(ty_@2, hh), baa), ed, fh) → new_lt3(vwx310, vwx410, hh, baa)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(ty_[], ga)), fh)) → new_lt0(vwx311, vwx411, ga)
new_ltEs3(@2(vwx30, vwx31), @2(vwx40, vwx41), bcf, app(app(ty_@2, bcg), bch)) → new_ltEs3(vwx31, vwx41, bcg, bch)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(app(ty_@2, bcd), bce)) → new_ltEs3(vwx310, vwx410, bcd, bce)
new_compare22(vwx117, vwx118, False, bdf, bdg) → new_ltEs2(Left(vwx117), Left(vwx118), bdf, bdg)
new_ltEs3(@2(Just(vwx300), vwx31), @2(Nothing, vwx41), app(ty_Maybe, df), bda) → new_ltEs(Just(vwx300), Nothing, df)
new_lt1(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb) → new_compare21(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs7(vwx300, vwx400, dh), new_asAs(new_esEs6(vwx301, vwx401, ea), new_esEs5(vwx302, vwx402, eb))), dh, ea, eb)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(ty_Maybe, ha)), ed), fh)) → new_lt(vwx310, vwx410, ha)
new_compare3(Right(vwx300), Right(vwx400), bdb, bdc) → new_compare23(vwx300, vwx400, new_esEs9(vwx300, vwx400, bdc), bdb, bdc)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(ty_[], bbf)) → new_ltEs0(vwx310, vwx410, bbf)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(ty_[], bb))) → new_ltEs0(vwx310, vwx410, bb)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(app(app(ty_@3, bc), bd), be))) → new_ltEs1(vwx310, vwx410, bc, bd, be)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(ty_Maybe, ee))) → new_ltEs(vwx312, vwx412, ee)
new_compare21(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, False, dh, ea, eb) → new_ltEs1(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(ty_Maybe, fg), fh) → new_lt(vwx311, vwx411, fg)
new_compare23(vwx124, vwx125, False, bdh, bea) → new_ltEs2(Right(vwx124), Right(vwx125), bdh, bea)
new_lt3(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde) → new_compare24(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs11(vwx300, vwx400, bdd), new_esEs10(vwx301, vwx401, bde)), bdd, bde)
new_primCompAux(vwx300, vwx400, vwx96, app(ty_Maybe, cd)) → new_compare1(vwx300, vwx400, cd)
new_primCompAux(vwx300, vwx400, vwx96, app(app(ty_Either, db), dc)) → new_compare3(vwx300, vwx400, db, dc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(app(app(ty_@3, eg), eh), fa)) → new_ltEs1(vwx312, vwx412, eg, eh, fa)
new_ltEs3(@2(vwx30, vwx31), @2(vwx40, vwx41), bcf, app(ty_[], cb)) → new_compare(vwx31, vwx41, cb)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(app(ty_Either, bcb), bcc))) → new_ltEs2(vwx310, vwx410, bcb, bcc)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(app(app(ty_@3, eg), eh), fa))) → new_ltEs1(vwx312, vwx412, eg, eh, fa)
new_compare20(vwx103, vwx104, False, dg) → new_ltEs(Just(vwx103), Just(vwx104), dg)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(ty_[], hb)), ed), fh)) → new_lt0(vwx310, vwx410, hb)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(ty_Maybe, bbe))) → new_ltEs(vwx310, vwx410, bbe)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(app(ty_Either, hf), hg)), ed), fh)) → new_lt2(vwx310, vwx410, hf, hg)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(app(app(ty_@3, hc), hd), he)), ed), fh)) → new_lt1(vwx310, vwx410, hc, hd, he)
new_ltEs2(Left(vwx310), Left(vwx410), app(ty_[], bad), bac) → new_ltEs0(vwx310, vwx410, bad)
new_ltEs3(@2(Left(vwx300), vwx31), @2(Left(vwx400), vwx41), app(app(ty_Either, bdb), bdc), bda) → new_compare22(vwx300, vwx400, new_esEs8(vwx300, vwx400, bdb), bdb, bdc)
new_ltEs0(vwx31, vwx41, cb) → new_compare(vwx31, vwx41, cb)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(ty_[], hb), ed, fh) → new_lt0(vwx310, vwx410, hb)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(app(ty_@2, fd), ff))) → new_ltEs3(vwx312, vwx412, fd, ff)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(app(ty_@2, fd), ff)) → new_ltEs3(vwx312, vwx412, fd, ff)
new_compare4(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde) → new_compare24(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs11(vwx300, vwx400, bdd), new_esEs10(vwx301, vwx401, bde)), bdd, bde)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(app(ty_Either, fb), fc))) → new_ltEs2(vwx312, vwx412, fb, fc)
new_lt2(Right(vwx300), Right(vwx400), bdb, bdc) → new_compare23(vwx300, vwx400, new_esEs9(vwx300, vwx400, bdc), bdb, bdc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(ty_Maybe, ha), ed, fh) → new_lt(vwx310, vwx410, ha)
new_ltEs2(Left(vwx310), Left(vwx410), app(ty_Maybe, bab), bac) → new_ltEs(vwx310, vwx410, bab)
new_lt(Just(vwx300), Just(vwx400), df) → new_compare20(vwx300, vwx400, new_esEs4(vwx300, vwx400, df), df)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(app(ty_@2, gg), gh), fh) → new_lt3(vwx311, vwx411, gg, gh)
new_compare2(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb) → new_compare21(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs7(vwx300, vwx400, dh), new_asAs(new_esEs6(vwx301, vwx401, ea), new_esEs5(vwx302, vwx402, eb))), dh, ea, eb)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(app(app(ty_@3, bbg), bbh), bca))) → new_ltEs1(vwx310, vwx410, bbg, bbh, bca)
new_lt0(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_compare(vwx301, vwx401, cc)
new_ltEs(Just(vwx310), Just(vwx410), app(app(app(ty_@3, bc), bd), be)) → new_ltEs1(vwx310, vwx410, bc, bd, be)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(ty_[], ga), fh) → new_lt0(vwx311, vwx411, ga)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(app(ty_Either, bf), bg))) → new_ltEs2(vwx310, vwx410, bf, bg)
new_ltEs3(@2(:(vwx300, vwx301), vwx31), @2(:(vwx400, vwx401), vwx41), app(ty_[], cc), bda) → new_primCompAux(vwx300, vwx400, new_compare0(vwx301, vwx401, cc), cc)
new_ltEs(Just(vwx310), Just(vwx410), app(ty_Maybe, ba)) → new_ltEs(vwx310, vwx410, ba)
new_ltEs2(Left(vwx310), Left(vwx410), app(app(ty_@2, bbb), bbc), bac) → new_ltEs3(vwx310, vwx410, bbb, bbc)
new_ltEs2(Left(vwx310), Left(vwx410), app(app(app(ty_@3, bae), baf), bag), bac) → new_ltEs1(vwx310, vwx410, bae, baf, bag)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(app(ty_@2, gg), gh)), fh)) → new_lt3(vwx311, vwx411, gg, gh)
new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(ty_[], bad)), bac)) → new_ltEs0(vwx310, vwx410, bad)
new_ltEs3(@2(Just(vwx300), vwx31), @2(Just(vwx400), vwx41), app(ty_Maybe, df), bda) → new_compare20(vwx300, vwx400, new_esEs4(vwx300, vwx400, df), df)
new_ltEs3(@2(Left(vwx300), vwx31), @2(Right(vwx400), vwx41), app(app(ty_Either, bdb), bdc), bda) → new_ltEs2(Left(vwx300), Right(vwx400), bdb, bdc)
new_ltEs3(@2(Right(vwx300), vwx31), @2(Left(vwx400), vwx41), app(app(ty_Either, bdb), bdc), bda) → new_ltEs2(Right(vwx300), Left(vwx400), bdb, bdc)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(app(app(ty_@3, bbg), bbh), bca)) → new_ltEs1(vwx310, vwx410, bbg, bbh, bca)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(app(ty_Either, ge), gf), fh) → new_lt2(vwx311, vwx411, ge, gf)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(app(ty_Either, bcb), bcc)) → new_ltEs2(vwx310, vwx410, bcb, bcc)
new_ltEs3(@2(Nothing, vwx31), @2(Just(vwx400), vwx41), app(ty_Maybe, df), bda) → new_ltEs(Nothing, Just(vwx400), df)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(app(ty_@2, bh), ca))) → new_ltEs3(vwx310, vwx410, bh, ca)
new_ltEs(Just(vwx310), Just(vwx410), app(app(ty_Either, bf), bg)) → new_ltEs2(vwx310, vwx410, bf, bg)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(ty_Either, hf), hg), ed, fh) → new_lt2(vwx310, vwx410, hf, hg)
new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(app(ty_@2, bbb), bbc)), bac)) → new_ltEs3(vwx310, vwx410, bbb, bbc)
new_lt2(Left(vwx300), Right(vwx400), bdb, bdc) → new_ltEs2(Left(vwx300), Right(vwx400), bdb, bdc)
new_lt2(Right(vwx300), Left(vwx400), bdb, bdc) → new_ltEs2(Right(vwx300), Left(vwx400), bdb, bdc)
new_ltEs(Just(vwx310), Just(vwx410), app(app(ty_@2, bh), ca)) → new_ltEs3(vwx310, vwx410, bh, ca)
new_compare(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_compare(vwx301, vwx401, cc)
new_compare(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_primCompAux(vwx300, vwx400, new_compare0(vwx301, vwx401, cc), cc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(ty_Maybe, ee)) → new_ltEs(vwx312, vwx412, ee)
new_primCompAux(vwx300, vwx400, vwx96, app(app(ty_@2, dd), de)) → new_compare4(vwx300, vwx400, dd, de)
new_lt(Nothing, Just(vwx400), df) → new_ltEs(Nothing, Just(vwx400), df)
new_lt(Just(vwx300), Nothing, df) → new_ltEs(Just(vwx300), Nothing, df)
new_compare1(Nothing, Just(vwx400), df) → new_ltEs(Nothing, Just(vwx400), df)
new_compare1(Just(vwx300), Nothing, df) → new_ltEs(Just(vwx300), Nothing, df)
new_compare3(Right(vwx300), Left(vwx400), bdb, bdc) → new_ltEs2(Right(vwx300), Left(vwx400), bdb, bdc)
new_compare3(Left(vwx300), Right(vwx400), bdb, bdc) → new_ltEs2(Left(vwx300), Right(vwx400), bdb, bdc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(ty_[], ef)) → new_ltEs0(vwx312, vwx412, ef)
new_primCompAux(vwx300, vwx400, vwx96, app(app(app(ty_@3, cf), cg), da)) → new_compare2(vwx300, vwx400, cf, cg, da)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(app(ty_Either, ge), gf)), fh)) → new_lt2(vwx311, vwx411, ge, gf)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(ty_[], ef))) → new_ltEs0(vwx312, vwx412, ef)
new_ltEs3(@2(@3(vwx300, vwx301, vwx302), vwx31), @2(@3(vwx400, vwx401, vwx402), vwx41), app(app(app(ty_@3, dh), ea), eb), bda) → new_compare21(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs7(vwx300, vwx400, dh), new_asAs(new_esEs6(vwx301, vwx401, ea), new_esEs5(vwx302, vwx402, eb))), dh, ea, eb)
new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(app(ty_Either, bah), bba)), bac)) → new_ltEs2(vwx310, vwx410, bah, bba)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(app(ty_Either, fb), fc)) → new_ltEs2(vwx312, vwx412, fb, fc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(app(ty_@3, hc), hd), he), ed, fh) → new_lt1(vwx310, vwx410, hc, hd, he)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(ty_[], bbf))) → new_ltEs0(vwx310, vwx410, bbf)

The TRS R consists of the following rules:

new_esEs6(vwx301, vwx401, ty_Float) → new_esEs13(vwx301, vwx401)
new_esEs33(vwx301, vwx401, app(ty_Maybe, bed)) → new_esEs16(vwx301, vwx401, bed)
new_lt11(vwx30, vwx40, dh, ea, eb) → new_esEs12(new_compare33(vwx30, vwx40, dh, ea, eb), LT)
new_ltEs15(True, False) → False
new_lt19(vwx311, vwx411, app(app(ty_Either, ge), gf)) → new_lt10(vwx311, vwx411, ge, gf)
new_esEs5(vwx302, vwx402, ty_Double) → new_esEs19(vwx302, vwx402)
new_esEs21(:%(vwx300, vwx301), :%(vwx400, vwx401), bgf) → new_asAs(new_esEs31(vwx300, vwx400, bgf), new_esEs30(vwx301, vwx401, bgf))
new_esEs33(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_esEs28(vwx301, vwx401, ty_Double) → new_esEs19(vwx301, vwx401)
new_esEs34(vwx300, vwx400, app(app(ty_@2, cbg), cbh)) → new_esEs15(vwx300, vwx400, cbg, cbh)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Double) → new_ltEs9(vwx310, vwx410)
new_esEs34(vwx300, vwx400, app(app(ty_Either, ccb), ccc)) → new_esEs17(vwx300, vwx400, ccb, ccc)
new_compare15(vwx117, vwx118, True, bdf, bdg) → LT
new_compare5(:%(vwx300, vwx301), :%(vwx400, vwx401), ty_Int) → new_compare7(new_sr0(vwx300, vwx401), new_sr0(vwx400, vwx301))
new_compare8(Just(vwx300), Nothing, df) → new_compare11(vwx300, new_ltEs4(Just(vwx300), Nothing, df), df)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs20(vwx300, vwx400, cba, cbb, cbc)
new_compare110(vwx300, vwx400, True, bdb, bdc) → LT
new_ltEs18(vwx31, vwx41, app(ty_Maybe, cbe)) → new_ltEs4(vwx31, vwx41, cbe)
new_lt13(vwx30, vwx40, app(ty_Ratio, bgf)) → new_lt6(vwx30, vwx40, bgf)
new_ltEs7(LT, EQ) → True
new_esEs34(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs6(vwx301, vwx401, app(app(app(ty_@3, cfc), cfd), cfe)) → new_esEs20(vwx301, vwx401, cfc, cfd, cfe)
new_esEs4(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs10(vwx301, vwx401, app(app(ty_Either, bee), bef)) → new_esEs17(vwx301, vwx401, bee, bef)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs17(Left(vwx300), Left(vwx400), app(ty_Ratio, cab), bdc) → new_esEs21(vwx300, vwx400, cab)
new_ltEs6(Left(vwx310), Left(vwx410), ty_@0, bac) → new_ltEs11(vwx310, vwx410)
new_lt12(vwx30, vwx40) → new_esEs12(new_compare6(vwx30, vwx40), LT)
new_esEs34(vwx300, vwx400, app(app(app(ty_@3, cce), ccf), ccg)) → new_esEs20(vwx300, vwx400, cce, ccf, ccg)
new_compare18(Left(vwx300), Right(vwx400), bdb, bdc) → new_compare19(vwx300, vwx400, new_ltEs6(Left(vwx300), Right(vwx400), bdb, bdc), bdb, bdc)
new_lt13(vwx30, vwx40, app(app(ty_Either, bdb), bdc)) → new_lt10(vwx30, vwx40, bdb, bdc)
new_esEs6(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_lt19(vwx311, vwx411, ty_Int) → new_lt4(vwx311, vwx411)
new_esEs26(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), app(ty_Ratio, cec), bac) → new_ltEs8(vwx310, vwx410, cec)
new_compare29(Float(vwx300, vwx301), Float(vwx400, vwx401)) → new_compare7(new_sr0(vwx300, vwx400), new_sr0(vwx301, vwx401))
new_primMulNat0(Zero, Zero) → Zero
new_compare17(False, True) → new_compare113(new_ltEs15(False, True))
new_esEs17(Right(vwx300), Left(vwx400), bdb, bdc) → False
new_esEs17(Left(vwx300), Right(vwx400), bdb, bdc) → False
new_esEs5(vwx302, vwx402, ty_Float) → new_esEs13(vwx302, vwx402)
new_lt13(vwx30, vwx40, ty_@0) → new_lt7(vwx30, vwx40)
new_esEs16(Nothing, Nothing, df) → True
new_lt20(vwx310, vwx410, ty_@0) → new_lt7(vwx310, vwx410)
new_esEs17(Left(vwx300), Left(vwx400), app(ty_[], bhf), bdc) → new_esEs18(vwx300, vwx400, bhf)
new_sr(Integer(vwx4000), Integer(vwx3010)) → Integer(new_primMulInt(vwx4000, vwx3010))
new_ltEs19(vwx312, vwx412, ty_Double) → new_ltEs9(vwx312, vwx412)
new_compare25(vwx103, vwx104, True, dg) → EQ
new_compare8(Just(vwx300), Just(vwx400), df) → new_compare25(vwx300, vwx400, new_esEs4(vwx300, vwx400, df), df)
new_ltEs18(vwx31, vwx41, ty_Integer) → new_ltEs5(vwx31, vwx41)
new_esEs11(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_compare32(Char(vwx300), Char(vwx400)) → new_primCmpNat0(vwx300, vwx400)
new_esEs9(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs7(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Bool) → new_ltEs15(vwx310, vwx410)
new_fsEs(vwx97) → new_not(new_esEs12(vwx97, GT))
new_esEs34(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_esEs35(vwx311, vwx411, app(ty_Maybe, fg)) → new_esEs16(vwx311, vwx411, fg)
new_esEs7(vwx300, vwx400, app(app(app(ty_@3, cge), cgf), cgg)) → new_esEs20(vwx300, vwx400, cge, cgf, cgg)
new_lt20(vwx310, vwx410, ty_Double) → new_lt14(vwx310, vwx410)
new_esEs34(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_lt19(vwx311, vwx411, app(ty_Ratio, chb)) → new_lt6(vwx311, vwx411, chb)
new_esEs12(LT, GT) → False
new_esEs12(GT, LT) → False
new_lt9(vwx30, vwx40) → new_esEs12(new_compare17(vwx30, vwx40), LT)
new_ltEs6(Left(vwx310), Left(vwx410), app(app(ty_Either, bah), bba), bac) → new_ltEs6(vwx310, vwx410, bah, bba)
new_ltEs4(Just(vwx310), Just(vwx410), app(ty_Ratio, cbf)) → new_ltEs8(vwx310, vwx410, cbf)
new_ltEs4(Just(vwx310), Just(vwx410), app(ty_[], bb)) → new_ltEs10(vwx310, vwx410, bb)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Char) → new_ltEs12(vwx310, vwx410)
new_esEs11(vwx300, vwx400, app(app(ty_@2, cbg), cbh)) → new_esEs15(vwx300, vwx400, cbg, cbh)
new_lt19(vwx311, vwx411, ty_Ordering) → new_lt8(vwx311, vwx411)
new_esEs30(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_esEs32(vwx30, vwx40, app(ty_[], cc)) → new_esEs18(vwx30, vwx40, cc)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs29(vwx300, vwx400, app(app(ty_Either, cgb), cgc)) → new_esEs17(vwx300, vwx400, cgb, cgc)
new_esEs5(vwx302, vwx402, app(app(app(ty_@3, bgb), bgc), bgd)) → new_esEs20(vwx302, vwx402, bgb, bgc, bgd)
new_esEs16(Just(vwx300), Just(vwx400), ty_Int) → new_esEs23(vwx300, vwx400)
new_esEs5(vwx302, vwx402, ty_Bool) → new_esEs22(vwx302, vwx402)
new_ltEs18(vwx31, vwx41, ty_Ordering) → new_ltEs7(vwx31, vwx41)
new_esEs5(vwx302, vwx402, app(ty_[], bga)) → new_esEs18(vwx302, vwx402, bga)
new_esEs31(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs28(vwx301, vwx401, app(app(ty_@2, cee), cef)) → new_esEs15(vwx301, vwx401, cee, cef)
new_esEs33(vwx301, vwx401, ty_Char) → new_esEs25(vwx301, vwx401)
new_ltEs19(vwx312, vwx412, app(ty_Maybe, ee)) → new_ltEs4(vwx312, vwx412, ee)
new_compare30(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde) → new_compare210(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs11(vwx300, vwx400, bdd), new_esEs10(vwx301, vwx401, bde)), bdd, bde)
new_esEs29(vwx300, vwx400, app(app(ty_@2, cfg), cfh)) → new_esEs15(vwx300, vwx400, cfg, cfh)
new_lt20(vwx310, vwx410, ty_Float) → new_lt17(vwx310, vwx410)
new_esEs7(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_compare18(Left(vwx300), Left(vwx400), bdb, bdc) → new_compare26(vwx300, vwx400, new_esEs8(vwx300, vwx400, bdb), bdb, bdc)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs7(vwx300, vwx400, app(ty_Maybe, cga)) → new_esEs16(vwx300, vwx400, cga)
new_esEs33(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_ltEs19(vwx312, vwx412, ty_Float) → new_ltEs16(vwx312, vwx412)
new_esEs9(vwx300, vwx400, app(ty_[], cah)) → new_esEs18(vwx300, vwx400, cah)
new_compare31(vwx300, vwx400, ty_Integer) → new_compare6(vwx300, vwx400)
new_pePe(False, vwx81) → vwx81
new_esEs33(vwx301, vwx401, ty_Double) → new_esEs19(vwx301, vwx401)
new_esEs18([], :(vwx400, vwx401), cc) → False
new_esEs18(:(vwx300, vwx301), [], cc) → False
new_ltEs15(True, True) → True
new_esEs36(vwx310, vwx410, app(ty_[], hb)) → new_esEs18(vwx310, vwx410, hb)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(ty_[], bbf)) → new_ltEs10(vwx310, vwx410, bbf)
new_ltEs14(vwx31, vwx41) → new_fsEs(new_compare7(vwx31, vwx41))
new_ltEs6(Left(vwx310), Left(vwx410), app(ty_[], bad), bac) → new_ltEs10(vwx310, vwx410, bad)
new_lt13(vwx30, vwx40, ty_Double) → new_lt14(vwx30, vwx40)
new_esEs7(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs5(vwx302, vwx402, ty_Ordering) → new_esEs12(vwx302, vwx402)
new_lt13(vwx30, vwx40, app(ty_[], cc)) → new_lt15(vwx30, vwx40, cc)
new_esEs9(vwx300, vwx400, app(app(ty_@2, cac), cad)) → new_esEs15(vwx300, vwx400, cac, cad)
new_esEs11(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_ltEs15(False, True) → True
new_esEs26(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Int, bac) → new_ltEs14(vwx310, vwx410)
new_esEs27(vwx302, vwx402, app(ty_Maybe, bff)) → new_esEs16(vwx302, vwx402, bff)
new_ltEs4(Nothing, Just(vwx410), cbe) → True
new_esEs6(vwx301, vwx401, app(ty_[], cfb)) → new_esEs18(vwx301, vwx401, cfb)
new_esEs35(vwx311, vwx411, app(app(ty_@2, gg), gh)) → new_esEs15(vwx311, vwx411, gg, gh)
new_esEs10(vwx301, vwx401, ty_Ordering) → new_esEs12(vwx301, vwx401)
new_esEs8(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_ltEs7(GT, GT) → True
new_compare31(vwx300, vwx400, ty_Ordering) → new_compare13(vwx300, vwx400)
new_compare111(vwx400, False, df) → GT
new_compare111(vwx400, True, df) → LT
new_compare10(vwx103, vwx104, True, dg) → LT
new_ltEs15(False, False) → True
new_esEs32(vwx30, vwx40, ty_Integer) → new_esEs24(vwx30, vwx40)
new_esEs34(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_ltEs18(vwx31, vwx41, ty_@0) → new_ltEs11(vwx31, vwx41)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(ty_[], cah)) → new_esEs18(vwx300, vwx400, cah)
new_esEs4(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_primCmpNat0(Zero, Succ(vwx4000)) → LT
new_compare210(vwx300, vwx301, vwx400, vwx401, False, bdd, bde) → new_compare114(vwx300, vwx301, vwx400, vwx401, new_ltEs17(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde), bdd, bde)
new_esEs5(vwx302, vwx402, ty_Int) → new_esEs23(vwx302, vwx402)
new_esEs9(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs10(vwx301, vwx401, app(ty_Maybe, bed)) → new_esEs16(vwx301, vwx401, bed)
new_esEs10(vwx301, vwx401, ty_Char) → new_esEs25(vwx301, vwx401)
new_esEs8(vwx300, vwx400, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs20(vwx300, vwx400, bhg, bhh, caa)
new_lt19(vwx311, vwx411, ty_Bool) → new_lt9(vwx311, vwx411)
new_lt13(vwx30, vwx40, ty_Ordering) → new_lt8(vwx30, vwx40)
new_lt8(vwx30, vwx40) → new_esEs12(new_compare13(vwx30, vwx40), LT)
new_esEs32(vwx30, vwx40, app(ty_Ratio, bgf)) → new_esEs21(vwx30, vwx40, bgf)
new_esEs17(Left(vwx300), Left(vwx400), ty_Integer, bdc) → new_esEs24(vwx300, vwx400)
new_esEs4(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs12(LT, LT) → True
new_compare10(vwx103, vwx104, False, dg) → GT
new_esEs8(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs33(vwx301, vwx401, ty_Float) → new_esEs13(vwx301, vwx401)
new_esEs34(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_pePe(True, vwx81) → True
new_compare0([], [], cc) → EQ
new_primEqNat0(Zero, Zero) → True
new_esEs28(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_compare31(vwx300, vwx400, app(app(ty_Either, db), dc)) → new_compare18(vwx300, vwx400, db, dc)
new_esEs4(vwx300, vwx400, app(app(ty_@2, cda), cdb)) → new_esEs15(vwx300, vwx400, cda, cdb)
new_esEs8(vwx300, vwx400, app(app(ty_@2, bha), bhb)) → new_esEs15(vwx300, vwx400, bha, bhb)
new_esEs14(@0, @0) → True
new_esEs35(vwx311, vwx411, ty_Integer) → new_esEs24(vwx311, vwx411)
new_ltEs17(@2(vwx30, vwx31), @2(vwx40, vwx41), bcf, bda) → new_pePe(new_lt13(vwx30, vwx40, bcf), new_asAs(new_esEs32(vwx30, vwx40, bcf), new_ltEs18(vwx31, vwx41, bda)))
new_ltEs6(Left(vwx310), Left(vwx410), app(app(ty_@2, bbb), bbc), bac) → new_ltEs17(vwx310, vwx410, bbb, bbc)
new_esEs16(Just(vwx300), Just(vwx400), ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs34(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs32(vwx30, vwx40, app(app(app(ty_@3, dh), ea), eb)) → new_esEs20(vwx30, vwx40, dh, ea, eb)
new_esEs36(vwx310, vwx410, app(app(ty_Either, hf), hg)) → new_esEs17(vwx310, vwx410, hf, hg)
new_lt16(vwx30, vwx40) → new_esEs12(new_compare32(vwx30, vwx40), LT)
new_esEs9(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs10(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_esEs6(vwx301, vwx401, ty_Ordering) → new_esEs12(vwx301, vwx401)
new_compare110(vwx300, vwx400, False, bdb, bdc) → GT
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Integer) → new_ltEs5(vwx310, vwx410)
new_esEs35(vwx311, vwx411, ty_Float) → new_esEs13(vwx311, vwx411)
new_compare7(vwx30, vwx40) → new_primCmpInt(vwx30, vwx40)
new_esEs5(vwx302, vwx402, app(app(ty_Either, bfg), bfh)) → new_esEs17(vwx302, vwx402, bfg, bfh)
new_esEs34(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs6(vwx301, vwx401, app(app(ty_@2, cee), cef)) → new_esEs15(vwx301, vwx401, cee, cef)
new_compare31(vwx300, vwx400, ty_Double) → new_compare9(vwx300, vwx400)
new_esEs11(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_lt13(vwx30, vwx40, app(app(ty_@2, bdd), bde)) → new_lt18(vwx30, vwx40, bdd, bde)
new_primPlusNat0(Succ(vwx1400), vwx40100) → Succ(Succ(new_primPlusNat1(vwx1400, vwx40100)))
new_esEs8(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs11(vwx300, vwx400, app(ty_Maybe, cca)) → new_esEs16(vwx300, vwx400, cca)
new_esEs20(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb) → new_asAs(new_esEs29(vwx300, vwx400, dh), new_asAs(new_esEs28(vwx301, vwx401, ea), new_esEs27(vwx302, vwx402, eb)))
new_esEs5(vwx302, vwx402, app(ty_Maybe, bff)) → new_esEs16(vwx302, vwx402, bff)
new_lt19(vwx311, vwx411, app(app(app(ty_@3, gb), gc), gd)) → new_lt11(vwx311, vwx411, gb, gc, gd)
new_ltEs19(vwx312, vwx412, ty_Bool) → new_ltEs15(vwx312, vwx412)
new_esEs10(vwx301, vwx401, app(app(app(ty_@3, beh), bfa), bfb)) → new_esEs20(vwx301, vwx401, beh, bfa, bfb)
new_ltEs12(vwx31, vwx41) → new_fsEs(new_compare32(vwx31, vwx41))
new_esEs32(vwx30, vwx40, app(ty_Maybe, df)) → new_esEs16(vwx30, vwx40, df)
new_esEs28(vwx301, vwx401, ty_@0) → new_esEs14(vwx301, vwx401)
new_esEs17(Left(vwx300), Left(vwx400), ty_Char, bdc) → new_esEs25(vwx300, vwx400)
new_lt20(vwx310, vwx410, ty_Bool) → new_lt9(vwx310, vwx410)
new_esEs29(vwx300, vwx400, app(app(app(ty_@3, cge), cgf), cgg)) → new_esEs20(vwx300, vwx400, cge, cgf, cgg)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Bool) → new_ltEs15(vwx310, vwx410)
new_lt20(vwx310, vwx410, app(app(ty_@2, hh), baa)) → new_lt18(vwx310, vwx410, hh, baa)
new_primEqInt(Neg(Succ(vwx3000)), Neg(Succ(vwx4000))) → new_primEqNat0(vwx3000, vwx4000)
new_ltEs19(vwx312, vwx412, app(app(ty_@2, fd), ff)) → new_ltEs17(vwx312, vwx412, fd, ff)
new_esEs28(vwx301, vwx401, ty_Char) → new_esEs25(vwx301, vwx401)
new_lt6(vwx30, vwx40, bgf) → new_esEs12(new_compare5(vwx30, vwx40, bgf), LT)
new_compare115(vwx124, vwx125, True, bdh, bea) → LT
new_esEs36(vwx310, vwx410, ty_Char) → new_esEs25(vwx310, vwx410)
new_esEs35(vwx311, vwx411, ty_Double) → new_esEs19(vwx311, vwx411)
new_esEs36(vwx310, vwx410, app(app(ty_@2, hh), baa)) → new_esEs15(vwx310, vwx410, hh, baa)
new_primPlusNat1(Zero, Succ(vwx401000)) → Succ(vwx401000)
new_primPlusNat1(Succ(vwx14000), Zero) → Succ(vwx14000)
new_lt19(vwx311, vwx411, ty_Float) → new_lt17(vwx311, vwx411)
new_esEs10(vwx301, vwx401, app(ty_[], beg)) → new_esEs18(vwx301, vwx401, beg)
new_ltEs4(Nothing, Nothing, cbe) → True
new_esEs16(Just(vwx300), Just(vwx400), ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs36(vwx310, vwx410, ty_Int) → new_esEs23(vwx310, vwx410)
new_esEs26(vwx300, vwx400, app(app(ty_Either, db), dc)) → new_esEs17(vwx300, vwx400, db, dc)
new_compare17(False, False) → EQ
new_lt18(vwx30, vwx40, bdd, bde) → new_esEs12(new_compare30(vwx30, vwx40, bdd, bde), LT)
new_lt20(vwx310, vwx410, ty_Int) → new_lt4(vwx310, vwx410)
new_esEs36(vwx310, vwx410, ty_@0) → new_esEs14(vwx310, vwx410)
new_compare16(vwx30, vwx40, True) → LT
new_esEs12(LT, EQ) → False
new_esEs12(EQ, LT) → False
new_ltEs4(Just(vwx310), Just(vwx410), ty_@0) → new_ltEs11(vwx310, vwx410)
new_esEs16(Just(vwx300), Just(vwx400), app(ty_Ratio, ceb)) → new_esEs21(vwx300, vwx400, ceb)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs17(Left(vwx300), Left(vwx400), ty_@0, bdc) → new_esEs14(vwx300, vwx400)
new_ltEs19(vwx312, vwx412, app(ty_Ratio, cha)) → new_ltEs8(vwx312, vwx412, cha)
new_esEs29(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs24(Integer(vwx300), Integer(vwx400)) → new_primEqInt(vwx300, vwx400)
new_ltEs7(EQ, EQ) → True
new_esEs33(vwx301, vwx401, app(app(app(ty_@3, beh), bfa), bfb)) → new_esEs20(vwx301, vwx401, beh, bfa, bfb)
new_esEs6(vwx301, vwx401, app(app(ty_Either, ceh), cfa)) → new_esEs17(vwx301, vwx401, ceh, cfa)
new_lt19(vwx311, vwx411, ty_Integer) → new_lt12(vwx311, vwx411)
new_esEs27(vwx302, vwx402, app(ty_Ratio, bge)) → new_esEs21(vwx302, vwx402, bge)
new_primEqInt(Neg(Succ(vwx3000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(vwx4000))) → False
new_primCompAux0(vwx109, GT) → GT
new_ltEs19(vwx312, vwx412, ty_Char) → new_ltEs12(vwx312, vwx412)
new_compare18(Right(vwx300), Right(vwx400), bdb, bdc) → new_compare28(vwx300, vwx400, new_esEs9(vwx300, vwx400, bdc), bdb, bdc)
new_compare26(vwx117, vwx118, True, bdf, bdg) → EQ
new_esEs26(vwx300, vwx400, app(ty_Maybe, cd)) → new_esEs16(vwx300, vwx400, cd)
new_ltEs19(vwx312, vwx412, ty_Int) → new_ltEs14(vwx312, vwx412)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Double, bac) → new_ltEs9(vwx310, vwx410)
new_lt20(vwx310, vwx410, ty_Char) → new_lt16(vwx310, vwx410)
new_lt20(vwx310, vwx410, ty_Ordering) → new_lt8(vwx310, vwx410)
new_esEs27(vwx302, vwx402, app(app(app(ty_@3, bgb), bgc), bgd)) → new_esEs20(vwx302, vwx402, bgb, bgc, bgd)
new_esEs26(vwx300, vwx400, app(ty_Ratio, bgg)) → new_esEs21(vwx300, vwx400, bgg)
new_esEs5(vwx302, vwx402, ty_@0) → new_esEs14(vwx302, vwx402)
new_esEs6(vwx301, vwx401, ty_Bool) → new_esEs22(vwx301, vwx401)
new_esEs9(vwx300, vwx400, app(app(ty_Either, caf), cag)) → new_esEs17(vwx300, vwx400, caf, cag)
new_esEs26(vwx300, vwx400, app(ty_[], ce)) → new_esEs18(vwx300, vwx400, ce)
new_lt20(vwx310, vwx410, app(ty_Maybe, ha)) → new_lt5(vwx310, vwx410, ha)
new_esEs23(vwx30, vwx40) → new_primEqInt(vwx30, vwx40)
new_esEs7(vwx300, vwx400, app(app(ty_@2, cfg), cfh)) → new_esEs15(vwx300, vwx400, cfg, cfh)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs8(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_ltEs7(GT, LT) → False
new_esEs29(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_primCmpNat0(Succ(vwx3000), Succ(vwx4000)) → new_primCmpNat0(vwx3000, vwx4000)
new_ltEs19(vwx312, vwx412, ty_@0) → new_ltEs11(vwx312, vwx412)
new_ltEs18(vwx31, vwx41, app(app(ty_Either, bbd), bac)) → new_ltEs6(vwx31, vwx41, bbd, bac)
new_ltEs7(GT, EQ) → False
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Ordering) → new_ltEs7(vwx310, vwx410)
new_esEs4(vwx300, vwx400, app(ty_Ratio, ceb)) → new_esEs21(vwx300, vwx400, ceb)
new_esEs7(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_primEqInt(Pos(Succ(vwx3000)), Pos(Succ(vwx4000))) → new_primEqNat0(vwx3000, vwx4000)
new_ltEs10(vwx31, vwx41, cb) → new_fsEs(new_compare0(vwx31, vwx41, cb))
new_esEs35(vwx311, vwx411, ty_Char) → new_esEs25(vwx311, vwx411)
new_lt13(vwx30, vwx40, ty_Bool) → new_lt9(vwx30, vwx40)
new_compare8(Nothing, Nothing, df) → EQ
new_esEs33(vwx301, vwx401, ty_@0) → new_esEs14(vwx301, vwx401)
new_ltEs13(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, fh) → new_pePe(new_lt20(vwx310, vwx410, ec), new_asAs(new_esEs36(vwx310, vwx410, ec), new_pePe(new_lt19(vwx311, vwx411, ed), new_asAs(new_esEs35(vwx311, vwx411, ed), new_ltEs19(vwx312, vwx412, fh)))))
new_compare8(Nothing, Just(vwx400), df) → new_compare111(vwx400, new_ltEs4(Nothing, Just(vwx400), df), df)
new_compare211(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, False, dh, ea, eb) → new_compare112(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_ltEs13(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb), dh, ea, eb)
new_esEs27(vwx302, vwx402, ty_Int) → new_esEs23(vwx302, vwx402)
new_primEqNat0(Succ(vwx3000), Succ(vwx4000)) → new_primEqNat0(vwx3000, vwx4000)
new_esEs4(vwx300, vwx400, app(ty_Maybe, cdc)) → new_esEs16(vwx300, vwx400, cdc)
new_esEs32(vwx30, vwx40, app(app(ty_Either, bdb), bdc)) → new_esEs17(vwx30, vwx40, bdb, bdc)
new_esEs26(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_lt19(vwx311, vwx411, ty_@0) → new_lt7(vwx311, vwx411)
new_esEs32(vwx30, vwx40, ty_Char) → new_esEs25(vwx30, vwx40)
new_esEs11(vwx300, vwx400, app(ty_Ratio, cch)) → new_esEs21(vwx300, vwx400, cch)
new_compare17(True, True) → EQ
new_ltEs9(vwx31, vwx41) → new_fsEs(new_compare9(vwx31, vwx41))
new_esEs16(Just(vwx300), Just(vwx400), ty_Ordering) → new_esEs12(vwx300, vwx400)
new_primCmpInt(Neg(Succ(vwx3000)), Neg(vwx400)) → new_primCmpNat0(vwx400, Succ(vwx3000))
new_ltEs6(Left(vwx310), Right(vwx410), bbd, bac) → True
new_lt15(vwx30, vwx40, cc) → new_esEs12(new_compare0(vwx30, vwx40, cc), LT)
new_esEs30(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_esEs15(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde) → new_asAs(new_esEs34(vwx300, vwx400, bdd), new_esEs33(vwx301, vwx401, bde))
new_esEs12(EQ, EQ) → True
new_ltEs6(Right(vwx310), Left(vwx410), bbd, bac) → False
new_esEs35(vwx311, vwx411, ty_Ordering) → new_esEs12(vwx311, vwx411)
new_primEqInt(Pos(Succ(vwx3000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(vwx4000))) → False
new_compare14(True) → LT
new_compare28(vwx124, vwx125, False, bdh, bea) → new_compare115(vwx124, vwx125, new_ltEs6(Right(vwx124), Right(vwx125), bdh, bea), bdh, bea)
new_esEs11(vwx300, vwx400, app(ty_[], ccd)) → new_esEs18(vwx300, vwx400, ccd)
new_compare5(:%(vwx300, vwx301), :%(vwx400, vwx401), ty_Integer) → new_compare6(new_sr(vwx300, vwx401), new_sr(vwx400, vwx301))
new_lt14(vwx30, vwx40) → new_esEs12(new_compare9(vwx30, vwx40), LT)
new_esEs34(vwx300, vwx400, app(ty_[], ccd)) → new_esEs18(vwx300, vwx400, ccd)
new_esEs4(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs34(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs6(vwx301, vwx401, ty_@0) → new_esEs14(vwx301, vwx401)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(ty_Ratio, cbd)) → new_esEs21(vwx300, vwx400, cbd)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(vwx3000), Zero) → GT
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(ty_Maybe, cae)) → new_esEs16(vwx300, vwx400, cae)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Ordering) → new_ltEs7(vwx310, vwx410)
new_esEs11(vwx300, vwx400, app(app(ty_Either, ccb), ccc)) → new_esEs17(vwx300, vwx400, ccb, ccc)
new_esEs36(vwx310, vwx410, ty_Integer) → new_esEs24(vwx310, vwx410)
new_lt20(vwx310, vwx410, app(ty_Ratio, chc)) → new_lt6(vwx310, vwx410, chc)
new_esEs6(vwx301, vwx401, app(ty_Maybe, ceg)) → new_esEs16(vwx301, vwx401, ceg)
new_primCmpInt(Neg(Zero), Pos(Succ(vwx4000))) → LT
new_esEs27(vwx302, vwx402, app(app(ty_Either, bfg), bfh)) → new_esEs17(vwx302, vwx402, bfg, bfh)
new_esEs28(vwx301, vwx401, app(app(ty_Either, ceh), cfa)) → new_esEs17(vwx301, vwx401, ceh, cfa)
new_esEs8(vwx300, vwx400, app(ty_[], bhf)) → new_esEs18(vwx300, vwx400, bhf)
new_primPlusNat1(Succ(vwx14000), Succ(vwx401000)) → Succ(Succ(new_primPlusNat1(vwx14000, vwx401000)))
new_compare6(Integer(vwx300), Integer(vwx400)) → new_primCmpInt(vwx300, vwx400)
new_compare18(Right(vwx300), Left(vwx400), bdb, bdc) → new_compare110(vwx300, vwx400, new_ltEs6(Right(vwx300), Left(vwx400), bdb, bdc), bdb, bdc)
new_lt13(vwx30, vwx40, app(ty_Maybe, df)) → new_lt5(vwx30, vwx40, df)
new_compare28(vwx124, vwx125, True, bdh, bea) → EQ
new_ltEs6(Left(vwx310), Left(vwx410), ty_Ordering, bac) → new_ltEs7(vwx310, vwx410)
new_primEqInt(Pos(Succ(vwx3000)), Neg(vwx400)) → False
new_primEqInt(Neg(Succ(vwx3000)), Pos(vwx400)) → False
new_esEs33(vwx301, vwx401, ty_Ordering) → new_esEs12(vwx301, vwx401)
new_esEs5(vwx302, vwx402, app(app(ty_@2, bfd), bfe)) → new_esEs15(vwx302, vwx402, bfd, bfe)
new_esEs29(vwx300, vwx400, app(ty_Ratio, cgh)) → new_esEs21(vwx300, vwx400, cgh)
new_ltEs6(Left(vwx310), Left(vwx410), app(ty_Maybe, bab), bac) → new_ltEs4(vwx310, vwx410, bab)
new_esEs17(Left(vwx300), Left(vwx400), ty_Double, bdc) → new_esEs19(vwx300, vwx400)
new_esEs29(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), app(app(app(ty_@3, bae), baf), bag), bac) → new_ltEs13(vwx310, vwx410, bae, baf, bag)
new_esEs16(Just(vwx300), Just(vwx400), app(ty_[], cdf)) → new_esEs18(vwx300, vwx400, cdf)
new_ltEs7(EQ, GT) → True
new_primEqInt(Pos(Zero), Neg(Succ(vwx4000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(vwx4000))) → False
new_esEs18(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_asAs(new_esEs26(vwx300, vwx400, cc), new_esEs18(vwx301, vwx401, cc))
new_primCmpInt(Pos(Zero), Pos(Succ(vwx4000))) → new_primCmpNat0(Zero, Succ(vwx4000))
new_esEs9(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs10(vwx301, vwx401, ty_Double) → new_esEs19(vwx301, vwx401)
new_esEs8(vwx300, vwx400, app(app(ty_Either, bhd), bhe)) → new_esEs17(vwx300, vwx400, bhd, bhe)
new_esEs16(Just(vwx300), Just(vwx400), ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs7(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs28(vwx301, vwx401, ty_Ordering) → new_esEs12(vwx301, vwx401)
new_esEs26(vwx300, vwx400, app(app(ty_@2, dd), de)) → new_esEs15(vwx300, vwx400, dd, de)
new_ltEs19(vwx312, vwx412, app(app(app(ty_@3, eg), eh), fa)) → new_ltEs13(vwx312, vwx412, eg, eh, fa)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(ty_Ratio, ced)) → new_ltEs8(vwx310, vwx410, ced)
new_primCompAux0(vwx109, LT) → LT
new_compare17(True, False) → new_compare14(new_ltEs15(True, False))
new_ltEs18(vwx31, vwx41, app(ty_Ratio, bgh)) → new_ltEs8(vwx31, vwx41, bgh)
new_esEs28(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_esEs35(vwx311, vwx411, ty_Int) → new_esEs23(vwx311, vwx411)
new_not(False) → True
new_compare12(@0, @0) → EQ
new_esEs34(vwx300, vwx400, app(ty_Ratio, cch)) → new_esEs21(vwx300, vwx400, cch)
new_esEs10(vwx301, vwx401, ty_@0) → new_esEs14(vwx301, vwx401)
new_primCmpInt(Pos(Succ(vwx3000)), Pos(vwx400)) → new_primCmpNat0(Succ(vwx3000), vwx400)
new_primPlusNat0(Zero, vwx40100) → Succ(vwx40100)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Int) → new_ltEs14(vwx310, vwx410)
new_ltEs4(Just(vwx310), Just(vwx410), app(app(app(ty_@3, bc), bd), be)) → new_ltEs13(vwx310, vwx410, bc, bd, be)
new_lt13(vwx30, vwx40, ty_Integer) → new_lt12(vwx30, vwx40)
new_esEs12(EQ, GT) → False
new_esEs12(GT, EQ) → False
new_ltEs19(vwx312, vwx412, app(ty_[], ef)) → new_ltEs10(vwx312, vwx412, ef)
new_esEs27(vwx302, vwx402, app(app(ty_@2, bfd), bfe)) → new_esEs15(vwx302, vwx402, bfd, bfe)
new_esEs4(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs33(vwx301, vwx401, app(app(ty_@2, beb), bec)) → new_esEs15(vwx301, vwx401, beb, bec)
new_esEs29(vwx300, vwx400, app(ty_Maybe, cga)) → new_esEs16(vwx300, vwx400, cga)
new_esEs10(vwx301, vwx401, ty_Bool) → new_esEs22(vwx301, vwx401)
new_esEs33(vwx301, vwx401, ty_Bool) → new_esEs22(vwx301, vwx401)
new_lt13(vwx30, vwx40, app(app(app(ty_@3, dh), ea), eb)) → new_lt11(vwx30, vwx40, dh, ea, eb)
new_compare113(True) → LT
new_esEs35(vwx311, vwx411, ty_@0) → new_esEs14(vwx311, vwx411)
new_esEs6(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_esEs32(vwx30, vwx40, app(app(ty_@2, bdd), bde)) → new_esEs15(vwx30, vwx40, bdd, bde)
new_esEs36(vwx310, vwx410, app(ty_Ratio, chc)) → new_esEs21(vwx310, vwx410, chc)
new_esEs29(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Bool, bac) → new_ltEs15(vwx310, vwx410)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(ty_Maybe, bbe)) → new_ltEs4(vwx310, vwx410, bbe)
new_esEs17(Left(vwx300), Left(vwx400), ty_Float, bdc) → new_esEs13(vwx300, vwx400)
new_esEs27(vwx302, vwx402, ty_@0) → new_esEs14(vwx302, vwx402)
new_esEs29(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Char, bac) → new_ltEs12(vwx310, vwx410)
new_compare0(:(vwx300, vwx301), [], cc) → GT
new_lt10(vwx30, vwx40, bdb, bdc) → new_esEs12(new_compare18(vwx30, vwx40, bdb, bdc), LT)
new_lt19(vwx311, vwx411, app(app(ty_@2, gg), gh)) → new_lt18(vwx311, vwx411, gg, gh)
new_esEs11(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs27(vwx302, vwx402, app(ty_[], bga)) → new_esEs18(vwx302, vwx402, bga)
new_esEs16(Just(vwx300), Just(vwx400), ty_Bool) → new_esEs22(vwx300, vwx400)
new_lt13(vwx30, vwx40, ty_Int) → new_lt4(vwx30, vwx40)
new_esEs16(Just(vwx300), Just(vwx400), app(ty_Maybe, cdc)) → new_esEs16(vwx300, vwx400, cdc)
new_esEs16(Just(vwx300), Just(vwx400), app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs20(vwx300, vwx400, cdg, cdh, cea)
new_primCmpInt(Pos(Succ(vwx3000)), Neg(vwx400)) → GT
new_esEs4(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs8(vwx300, vwx400, app(ty_Ratio, cab)) → new_esEs21(vwx300, vwx400, cab)
new_lt19(vwx311, vwx411, app(ty_[], ga)) → new_lt15(vwx311, vwx411, ga)
new_esEs33(vwx301, vwx401, app(ty_Ratio, bfc)) → new_esEs21(vwx301, vwx401, bfc)
new_primMulInt(Pos(vwx3010), Pos(vwx4010)) → Pos(new_primMulNat0(vwx3010, vwx4010))
new_esEs8(vwx300, vwx400, app(ty_Maybe, bhc)) → new_esEs16(vwx300, vwx400, bhc)
new_esEs6(vwx301, vwx401, ty_Double) → new_esEs19(vwx301, vwx401)
new_esEs31(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_esEs26(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_lt20(vwx310, vwx410, app(app(ty_Either, hf), hg)) → new_lt10(vwx310, vwx410, hf, hg)
new_primMulInt(Neg(vwx3010), Neg(vwx4010)) → Pos(new_primMulNat0(vwx3010, vwx4010))
new_esEs17(Left(vwx300), Left(vwx400), ty_Ordering, bdc) → new_esEs12(vwx300, vwx400)
new_esEs10(vwx301, vwx401, ty_Float) → new_esEs13(vwx301, vwx401)
new_lt20(vwx310, vwx410, app(app(app(ty_@3, hc), hd), he)) → new_lt11(vwx310, vwx410, hc, hd, he)
new_primEqNat0(Zero, Succ(vwx4000)) → False
new_primEqNat0(Succ(vwx3000), Zero) → False
new_esEs6(vwx301, vwx401, app(ty_Ratio, cff)) → new_esEs21(vwx301, vwx401, cff)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs11(vwx300, vwx400, app(app(app(ty_@3, cce), ccf), ccg)) → new_esEs20(vwx300, vwx400, cce, ccf, ccg)
new_esEs33(vwx301, vwx401, app(app(ty_Either, bee), bef)) → new_esEs17(vwx301, vwx401, bee, bef)
new_compare31(vwx300, vwx400, app(ty_Maybe, cd)) → new_compare8(vwx300, vwx400, cd)
new_compare31(vwx300, vwx400, app(app(ty_@2, dd), de)) → new_compare30(vwx300, vwx400, dd, de)
new_ltEs8(vwx31, vwx41, bgh) → new_fsEs(new_compare5(vwx31, vwx41, bgh))
new_compare27(vwx30, vwx40, False) → new_compare16(vwx30, vwx40, new_ltEs7(vwx30, vwx40))
new_esEs32(vwx30, vwx40, ty_@0) → new_esEs14(vwx30, vwx40)
new_compare14(False) → GT
new_ltEs18(vwx31, vwx41, app(app(ty_@2, bcg), bch)) → new_ltEs17(vwx31, vwx41, bcg, bch)
new_esEs7(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_@0) → new_ltEs11(vwx310, vwx410)
new_esEs17(Left(vwx300), Left(vwx400), app(app(ty_Either, bhd), bhe), bdc) → new_esEs17(vwx300, vwx400, bhd, bhe)
new_esEs11(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs6(vwx301, vwx401, ty_Char) → new_esEs25(vwx301, vwx401)
new_esEs10(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_ltEs18(vwx31, vwx41, app(app(app(ty_@3, ec), ed), fh)) → new_ltEs13(vwx31, vwx41, ec, ed, fh)
new_compare33(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb) → new_compare211(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs7(vwx300, vwx400, dh), new_asAs(new_esEs6(vwx301, vwx401, ea), new_esEs5(vwx302, vwx402, eb))), dh, ea, eb)
new_esEs5(vwx302, vwx402, ty_Integer) → new_esEs24(vwx302, vwx402)
new_esEs10(vwx301, vwx401, app(ty_Ratio, bfc)) → new_esEs21(vwx301, vwx401, bfc)
new_esEs27(vwx302, vwx402, ty_Integer) → new_esEs24(vwx302, vwx402)
new_ltEs16(vwx31, vwx41) → new_fsEs(new_compare29(vwx31, vwx41))
new_primCmpInt(Neg(Zero), Neg(Succ(vwx4000))) → new_primCmpNat0(Succ(vwx4000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vwx4000))) → GT
new_esEs32(vwx30, vwx40, ty_Float) → new_esEs13(vwx30, vwx40)
new_esEs22(True, True) → True
new_compare0(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_primCompAux1(vwx300, vwx400, new_compare0(vwx301, vwx401, cc), cc)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(app(ty_@2, cac), cad)) → new_esEs15(vwx300, vwx400, cac, cad)
new_compare19(vwx300, vwx400, True, bdb, bdc) → LT
new_lt4(vwx30, vwx40) → new_esEs12(new_compare7(vwx30, vwx40), LT)
new_sr0(vwx301, vwx401) → new_primMulInt(vwx301, vwx401)
new_compare211(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, True, dh, ea, eb) → EQ
new_compare15(vwx117, vwx118, False, bdf, bdg) → GT
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Bool) → new_esEs22(vwx300, vwx400)
new_compare112(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, False, dh, ea, eb) → GT
new_esEs26(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(app(ty_@2, bcd), bce)) → new_ltEs17(vwx310, vwx410, bcd, bce)
new_compare31(vwx300, vwx400, ty_Float) → new_compare29(vwx300, vwx400)
new_ltEs18(vwx31, vwx41, app(ty_[], cb)) → new_ltEs10(vwx31, vwx41, cb)
new_esEs9(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_ltEs18(vwx31, vwx41, ty_Int) → new_ltEs14(vwx31, vwx41)
new_lt19(vwx311, vwx411, ty_Char) → new_lt16(vwx311, vwx411)
new_ltEs4(Just(vwx310), Just(vwx410), app(ty_Maybe, ba)) → new_ltEs4(vwx310, vwx410, ba)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(app(ty_Either, bcb), bcc)) → new_ltEs6(vwx310, vwx410, bcb, bcc)
new_esEs35(vwx311, vwx411, app(app(ty_Either, ge), gf)) → new_esEs17(vwx311, vwx411, ge, gf)
new_esEs28(vwx301, vwx401, app(ty_[], cfb)) → new_esEs18(vwx301, vwx401, cfb)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Char) → new_ltEs12(vwx310, vwx410)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt20(vwx310, vwx410, app(ty_[], hb)) → new_lt15(vwx310, vwx410, hb)
new_esEs27(vwx302, vwx402, ty_Float) → new_esEs13(vwx302, vwx402)
new_primCompAux1(vwx300, vwx400, vwx96, cc) → new_primCompAux0(vwx96, new_compare31(vwx300, vwx400, cc))
new_esEs27(vwx302, vwx402, ty_Bool) → new_esEs22(vwx302, vwx402)
new_esEs16(Just(vwx300), Just(vwx400), app(app(ty_@2, cda), cdb)) → new_esEs15(vwx300, vwx400, cda, cdb)
new_esEs5(vwx302, vwx402, app(ty_Ratio, bge)) → new_esEs21(vwx302, vwx402, bge)
new_compare31(vwx300, vwx400, app(app(app(ty_@3, cf), cg), da)) → new_compare33(vwx300, vwx400, cf, cg, da)
new_esEs35(vwx311, vwx411, ty_Bool) → new_esEs22(vwx311, vwx411)
new_esEs26(vwx300, vwx400, app(app(app(ty_@3, cf), cg), da)) → new_esEs20(vwx300, vwx400, cf, cg, da)
new_esEs9(vwx300, vwx400, app(ty_Ratio, cbd)) → new_esEs21(vwx300, vwx400, cbd)
new_esEs29(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs36(vwx310, vwx410, ty_Bool) → new_esEs22(vwx310, vwx410)
new_esEs17(Left(vwx300), Left(vwx400), app(app(ty_@2, bha), bhb), bdc) → new_esEs15(vwx300, vwx400, bha, bhb)
new_asAs(False, vwx94) → False
new_esEs26(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_ltEs5(vwx31, vwx41) → new_fsEs(new_compare6(vwx31, vwx41))
new_primMulInt(Neg(vwx3010), Pos(vwx4010)) → Neg(new_primMulNat0(vwx3010, vwx4010))
new_primMulInt(Pos(vwx3010), Neg(vwx4010)) → Neg(new_primMulNat0(vwx3010, vwx4010))
new_primMulNat0(Succ(vwx30100), Zero) → Zero
new_primMulNat0(Zero, Succ(vwx40100)) → Zero
new_esEs36(vwx310, vwx410, ty_Ordering) → new_esEs12(vwx310, vwx410)
new_esEs13(Float(vwx300, vwx301), Float(vwx400, vwx401)) → new_esEs23(new_sr0(vwx300, vwx400), new_sr0(vwx301, vwx401))
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs18([], [], cc) → True
new_esEs22(False, False) → True
new_esEs28(vwx301, vwx401, app(ty_Maybe, ceg)) → new_esEs16(vwx301, vwx401, ceg)
new_esEs27(vwx302, vwx402, ty_Char) → new_esEs25(vwx302, vwx402)
new_esEs19(Double(vwx300, vwx301), Double(vwx400, vwx401)) → new_esEs23(new_sr0(vwx300, vwx400), new_sr0(vwx301, vwx401))
new_lt13(vwx30, vwx40, ty_Float) → new_lt17(vwx30, vwx40)
new_ltEs4(Just(vwx310), Just(vwx410), app(app(ty_@2, bh), ca)) → new_ltEs17(vwx310, vwx410, bh, ca)
new_esEs17(Left(vwx300), Left(vwx400), ty_Int, bdc) → new_esEs23(vwx300, vwx400)
new_esEs22(False, True) → False
new_esEs22(True, False) → False
new_esEs4(vwx300, vwx400, app(ty_[], cdf)) → new_esEs18(vwx300, vwx400, cdf)
new_esEs16(Just(vwx300), Just(vwx400), ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs35(vwx311, vwx411, app(app(app(ty_@3, gb), gc), gd)) → new_esEs20(vwx311, vwx411, gb, gc, gd)
new_compare31(vwx300, vwx400, app(ty_[], ce)) → new_compare0(vwx300, vwx400, ce)
new_compare9(Double(vwx300, vwx301), Double(vwx400, vwx401)) → new_compare7(new_sr0(vwx300, vwx400), new_sr0(vwx301, vwx401))
new_ltEs4(Just(vwx310), Just(vwx410), app(app(ty_Either, bf), bg)) → new_ltEs6(vwx310, vwx410, bf, bg)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Double) → new_ltEs9(vwx310, vwx410)
new_esEs32(vwx30, vwx40, ty_Int) → new_esEs23(vwx30, vwx40)
new_ltEs18(vwx31, vwx41, ty_Char) → new_ltEs12(vwx31, vwx41)
new_esEs7(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs28(vwx301, vwx401, ty_Float) → new_esEs13(vwx301, vwx401)
new_lt19(vwx311, vwx411, app(ty_Maybe, fg)) → new_lt5(vwx311, vwx411, fg)
new_esEs29(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs7(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_compare27(vwx30, vwx40, True) → EQ
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Int) → new_ltEs14(vwx310, vwx410)
new_esEs26(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs9(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs25(Char(vwx300), Char(vwx400)) → new_primEqNat0(vwx300, vwx400)
new_esEs35(vwx311, vwx411, app(ty_[], ga)) → new_esEs18(vwx311, vwx411, ga)
new_ltEs19(vwx312, vwx412, ty_Integer) → new_ltEs5(vwx312, vwx412)
new_compare31(vwx300, vwx400, ty_@0) → new_compare12(vwx300, vwx400)
new_esEs11(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_ltEs11(vwx31, vwx41) → new_fsEs(new_compare12(vwx31, vwx41))
new_esEs8(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs28(vwx301, vwx401, ty_Bool) → new_esEs22(vwx301, vwx401)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(app(ty_Either, caf), cag)) → new_esEs17(vwx300, vwx400, caf, cag)
new_esEs32(vwx30, vwx40, ty_Ordering) → new_esEs12(vwx30, vwx40)
new_compare26(vwx117, vwx118, False, bdf, bdg) → new_compare15(vwx117, vwx118, new_ltEs6(Left(vwx117), Left(vwx118), bdf, bdg), bdf, bdg)
new_compare11(vwx300, False, df) → GT
new_ltEs6(Left(vwx310), Left(vwx410), ty_Integer, bac) → new_ltEs5(vwx310, vwx410)
new_compare31(vwx300, vwx400, ty_Char) → new_compare32(vwx300, vwx400)
new_esEs5(vwx302, vwx402, ty_Char) → new_esEs25(vwx302, vwx402)
new_lt20(vwx310, vwx410, ty_Integer) → new_lt12(vwx310, vwx410)
new_esEs32(vwx30, vwx40, ty_Bool) → new_esEs22(vwx30, vwx40)
new_ltEs18(vwx31, vwx41, ty_Float) → new_ltEs16(vwx31, vwx41)
new_esEs8(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_compare113(False) → GT
new_compare11(vwx300, True, df) → LT
new_esEs27(vwx302, vwx402, ty_Ordering) → new_esEs12(vwx302, vwx402)
new_esEs7(vwx300, vwx400, app(ty_Ratio, cgh)) → new_esEs21(vwx300, vwx400, cgh)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(app(app(ty_@3, bbg), bbh), bca)) → new_ltEs13(vwx310, vwx410, bbg, bbh, bca)
new_esEs16(Nothing, Just(vwx400), df) → False
new_esEs16(Just(vwx300), Nothing, df) → False
new_esEs12(GT, GT) → True
new_esEs11(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_ltEs7(EQ, LT) → False
new_ltEs7(LT, LT) → True
new_esEs9(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_compare114(vwx300, vwx301, vwx400, vwx401, True, bdd, bde) → LT
new_esEs7(vwx300, vwx400, app(app(ty_Either, cgb), cgc)) → new_esEs17(vwx300, vwx400, cgb, cgc)
new_esEs33(vwx301, vwx401, app(ty_[], beg)) → new_esEs18(vwx301, vwx401, beg)
new_esEs29(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs29(vwx300, vwx400, app(ty_[], cgd)) → new_esEs18(vwx300, vwx400, cgd)
new_ltEs18(vwx31, vwx41, ty_Bool) → new_ltEs15(vwx31, vwx41)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs9(vwx300, vwx400, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs20(vwx300, vwx400, cba, cbb, cbc)
new_compare0([], :(vwx400, vwx401), cc) → LT
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Float) → new_ltEs16(vwx310, vwx410)
new_esEs4(vwx300, vwx400, app(app(ty_Either, cdd), cde)) → new_esEs17(vwx300, vwx400, cdd, cde)
new_esEs17(Left(vwx300), Left(vwx400), ty_Bool, bdc) → new_esEs22(vwx300, vwx400)
new_esEs16(Just(vwx300), Just(vwx400), app(app(ty_Either, cdd), cde)) → new_esEs17(vwx300, vwx400, cdd, cde)
new_asAs(True, vwx94) → vwx94
new_lt17(vwx30, vwx40) → new_esEs12(new_compare29(vwx30, vwx40), LT)
new_compare115(vwx124, vwx125, False, bdh, bea) → GT
new_esEs16(Just(vwx300), Just(vwx400), ty_Double) → new_esEs19(vwx300, vwx400)
new_ltEs7(LT, GT) → True
new_ltEs4(Just(vwx310), Nothing, cbe) → False
new_esEs34(vwx300, vwx400, app(ty_Maybe, cca)) → new_esEs16(vwx300, vwx400, cca)
new_esEs36(vwx310, vwx410, app(ty_Maybe, ha)) → new_esEs16(vwx310, vwx410, ha)
new_primMulNat0(Succ(vwx30100), Succ(vwx40100)) → new_primPlusNat0(new_primMulNat0(vwx30100, Succ(vwx40100)), vwx40100)
new_esEs28(vwx301, vwx401, app(app(app(ty_@3, cfc), cfd), cfe)) → new_esEs20(vwx301, vwx401, cfc, cfd, cfe)
new_esEs9(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs28(vwx301, vwx401, app(ty_Ratio, cff)) → new_esEs21(vwx301, vwx401, cff)
new_compare31(vwx300, vwx400, app(ty_Ratio, bgg)) → new_compare5(vwx300, vwx400, bgg)
new_compare31(vwx300, vwx400, ty_Int) → new_compare7(vwx300, vwx400)
new_esEs17(Left(vwx300), Left(vwx400), app(app(app(ty_@3, bhg), bhh), caa), bdc) → new_esEs20(vwx300, vwx400, bhg, bhh, caa)
new_esEs4(vwx300, vwx400, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs20(vwx300, vwx400, cdg, cdh, cea)
new_esEs4(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_esEs32(vwx30, vwx40, ty_Double) → new_esEs19(vwx30, vwx40)
new_esEs26(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Float, bac) → new_ltEs16(vwx310, vwx410)
new_esEs8(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_ltEs19(vwx312, vwx412, ty_Ordering) → new_ltEs7(vwx312, vwx412)
new_esEs4(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_compare112(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, True, dh, ea, eb) → LT
new_lt19(vwx311, vwx411, ty_Double) → new_lt14(vwx311, vwx411)
new_esEs36(vwx310, vwx410, ty_Float) → new_esEs13(vwx310, vwx410)
new_lt13(vwx30, vwx40, ty_Char) → new_lt16(vwx30, vwx40)
new_compare19(vwx300, vwx400, False, bdb, bdc) → GT
new_esEs10(vwx301, vwx401, app(app(ty_@2, beb), bec)) → new_esEs15(vwx301, vwx401, beb, bec)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Float) → new_ltEs16(vwx310, vwx410)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Int) → new_esEs23(vwx300, vwx400)
new_compare31(vwx300, vwx400, ty_Bool) → new_compare17(vwx300, vwx400)
new_esEs9(vwx300, vwx400, app(ty_Maybe, cae)) → new_esEs16(vwx300, vwx400, cae)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Integer) → new_ltEs5(vwx310, vwx410)
new_esEs8(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs35(vwx311, vwx411, app(ty_Ratio, chb)) → new_esEs21(vwx311, vwx411, chb)
new_ltEs18(vwx31, vwx41, ty_Double) → new_ltEs9(vwx31, vwx41)
new_esEs7(vwx300, vwx400, app(ty_[], cgd)) → new_esEs18(vwx300, vwx400, cgd)
new_esEs17(Left(vwx300), Left(vwx400), app(ty_Maybe, bhc), bdc) → new_esEs16(vwx300, vwx400, bhc)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_lt7(vwx30, vwx40) → new_esEs12(new_compare12(vwx30, vwx40), LT)
new_primCompAux0(vwx109, EQ) → vwx109
new_esEs36(vwx310, vwx410, ty_Double) → new_esEs19(vwx310, vwx410)
new_compare114(vwx300, vwx301, vwx400, vwx401, False, bdd, bde) → GT
new_ltEs19(vwx312, vwx412, app(app(ty_Either, fb), fc)) → new_ltEs6(vwx312, vwx412, fb, fc)
new_esEs11(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Char) → new_esEs25(vwx300, vwx400)
new_lt5(vwx30, vwx40, df) → new_esEs12(new_compare8(vwx30, vwx40, df), LT)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primCmpInt(Neg(Succ(vwx3000)), Pos(vwx400)) → LT
new_esEs36(vwx310, vwx410, app(app(app(ty_@3, hc), hd), he)) → new_esEs20(vwx310, vwx410, hc, hd, he)
new_compare13(vwx30, vwx40) → new_compare27(vwx30, vwx40, new_esEs12(vwx30, vwx40))
new_compare210(vwx300, vwx301, vwx400, vwx401, True, bdd, bde) → EQ
new_compare16(vwx30, vwx40, False) → GT
new_not(True) → False
new_esEs27(vwx302, vwx402, ty_Double) → new_esEs19(vwx302, vwx402)
new_compare25(vwx103, vwx104, False, dg) → new_compare10(vwx103, vwx104, new_ltEs4(Just(vwx103), Just(vwx104), dg), dg)

The set Q consists of the following terms:

new_ltEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs8(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Char)
new_esEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, False, x2, x3)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_Char)
new_esEs36(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Double)
new_ltEs4(Nothing, Just(x0), x1)
new_esEs20(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_pePe(False, x0)
new_esEs16(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs28(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(Right(x0), Right(x1), x2, ty_Bool)
new_esEs9(x0, x1, app(ty_[], x2))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_Int)
new_pePe(True, x0)
new_ltEs11(x0, x1)
new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, ty_Int)
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, x2, x3, True, x4, x5)
new_esEs34(x0, x1, ty_Char)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs4(Nothing, Nothing, x0)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs17(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs18(x0, x1, ty_Float)
new_esEs24(Integer(x0), Integer(x1))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Char)
new_ltEs7(EQ, EQ)
new_esEs16(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs4(x0, x1, ty_Char)
new_esEs6(x0, x1, ty_Char)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_esEs17(Right(x0), Right(x1), x2, ty_Double)
new_ltEs15(True, True)
new_esEs8(x0, x1, ty_Bool)
new_primCompAux1(x0, x1, x2, x3)
new_compare10(x0, x1, False, x2)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Double)
new_compare16(x0, x1, False)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs12(GT, EQ)
new_esEs12(EQ, GT)
new_ltEs15(False, False)
new_esEs22(False, True)
new_esEs22(True, False)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(True, x0)
new_ltEs7(EQ, LT)
new_ltEs7(LT, EQ)
new_compare210(x0, x1, x2, x3, False, x4, x5)
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_Integer)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs29(x0, x1, ty_Double)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(x0, x1, ty_Ordering)
new_compare31(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primCompAux0(x0, EQ)
new_esEs9(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Double)
new_lt20(x0, x1, ty_Char)
new_esEs27(x0, x1, ty_@0)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs12(GT, GT)
new_fsEs(x0)
new_esEs8(x0, x1, ty_Float)
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_esEs25(Char(x0), Char(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare28(x0, x1, True, x2, x3)
new_compare113(False)
new_ltEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs35(x0, x1, ty_Char)
new_ltEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs29(x0, x1, ty_Float)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, ty_Int)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs7(LT, LT)
new_ltEs4(Just(x0), Just(x1), ty_Char)
new_esEs17(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs4(Just(x0), Just(x1), ty_@0)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs16(Just(x0), Nothing, x1)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_ltEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare115(x0, x1, True, x2, x3)
new_ltEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_compare14(True)
new_esEs29(x0, x1, ty_Int)
new_esEs17(Left(x0), Left(x1), ty_Bool, x2)
new_lt16(x0, x1)
new_esEs33(x0, x1, ty_Integer)
new_compare9(Double(x0, x1), Double(x2, x3))
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_compare8(Just(x0), Nothing, x1)
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs11(x0, x1, ty_Ordering)
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, app(ty_[], x2))
new_ltEs6(Left(x0), Left(x1), ty_@0, x2)
new_esEs32(x0, x1, ty_Bool)
new_esEs16(Nothing, Nothing, x0)
new_primEqNat0(Zero, Zero)
new_compare26(x0, x1, False, x2, x3)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs33(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Float)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs17(Left(x0), Left(x1), ty_Char, x2)
new_ltEs6(Left(x0), Left(x1), ty_Bool, x2)
new_lt19(x0, x1, ty_Char)
new_ltEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Double)
new_esEs35(x0, x1, ty_Ordering)
new_compare33(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare12(@0, @0)
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs34(x0, x1, ty_Int)
new_primMulNat0(Zero, Zero)
new_lt13(x0, x1, ty_Ordering)
new_esEs16(Just(x0), Just(x1), ty_Ordering)
new_esEs16(Just(x0), Just(x1), ty_Char)
new_lt13(x0, x1, ty_Bool)
new_compare27(x0, x1, True)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Integer)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_@0)
new_ltEs17(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(x0, x1, ty_Double)
new_ltEs6(Right(x0), Right(x1), x2, ty_Bool)
new_esEs9(x0, x1, ty_Float)
new_esEs5(x0, x1, ty_Ordering)
new_esEs16(Just(x0), Just(x1), ty_Int)
new_ltEs6(Right(x0), Right(x1), x2, ty_Integer)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_esEs34(x0, x1, ty_@0)
new_compare113(True)
new_esEs6(x0, x1, ty_Int)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs4(Just(x0), Just(x1), ty_Int)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs16(Just(x0), Just(x1), ty_Float)
new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, ty_@0)
new_esEs15(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(x0, x1)
new_esEs34(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare115(x0, x1, False, x2, x3)
new_esEs14(@0, @0)
new_esEs5(x0, x1, ty_Integer)
new_lt13(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_Char)
new_esEs6(x0, x1, ty_@0)
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Integer)
new_ltEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(x0, x1, ty_Bool)
new_ltEs9(x0, x1)
new_lt19(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, x2, x3, True, x4, x5)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs6(Left(x0), Right(x1), x2, x3)
new_ltEs6(Right(x0), Left(x1), x2, x3)
new_compare0([], [], x0)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Char)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs16(Just(x0), Just(x1), app(ty_[], x2))
new_lt13(x0, x1, ty_Char)
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, ty_Bool)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Ordering)
new_esEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs36(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs4(Just(x0), Nothing, x1)
new_esEs36(x0, x1, ty_Double)
new_esEs36(x0, x1, ty_Int)
new_ltEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs12(EQ, LT)
new_esEs12(LT, EQ)
new_esEs17(Right(x0), Right(x1), x2, ty_@0)
new_lt19(x0, x1, app(ty_Ratio, x2))
new_sr0(x0, x1)
new_lt14(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_ltEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primPlusNat1(Zero, Zero)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare13(x0, x1)
new_lt19(x0, x1, ty_@0)
new_compare6(Integer(x0), Integer(x1))
new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare0([], :(x0, x1), x2)
new_esEs30(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Integer)
new_esEs17(Right(x0), Left(x1), x2, x3)
new_esEs17(Left(x0), Right(x1), x2, x3)
new_esEs12(EQ, EQ)
new_esEs8(x0, x1, ty_Integer)
new_ltEs6(Left(x0), Left(x1), ty_Char, x2)
new_esEs16(Just(x0), Just(x1), ty_Bool)
new_asAs(False, x0)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs17(Left(x0), Left(x1), ty_Double, x2)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, ty_Float)
new_lt13(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_lt17(x0, x1)
new_esEs4(x0, x1, ty_Float)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs4(Just(x0), Just(x1), ty_Double)
new_esEs13(Float(x0, x1), Float(x2, x3))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(x0, x1, ty_@0)
new_compare26(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Double)
new_lt6(x0, x1, x2)
new_primMulNat0(Zero, Succ(x0))
new_ltEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs12(GT, LT)
new_esEs12(LT, GT)
new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(Left(x0), Left(x1), ty_Int, x2)
new_esEs35(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs15(False, True)
new_ltEs15(True, False)
new_ltEs8(x0, x1, x2)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_esEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_Float)
new_esEs34(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Char)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs27(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare30(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt8(x0, x1)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_esEs34(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Int)
new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs7(x0, x1, ty_Bool)
new_primMulNat0(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Int)
new_esEs36(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Ordering)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_compare10(x0, x1, True, x2)
new_primCompAux0(x0, GT)
new_compare18(Right(x0), Right(x1), x2, x3)
new_compare31(x0, x1, ty_Float)
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_Double)
new_compare112(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs4(Just(x0), Just(x1), ty_Integer)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, ty_Integer)
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_[], x2))
new_lt13(x0, x1, ty_Int)
new_compare31(x0, x1, ty_Integer)
new_esEs35(x0, x1, ty_Double)
new_ltEs12(x0, x1)
new_compare17(False, True)
new_compare17(True, False)
new_esEs11(x0, x1, ty_Int)
new_lt9(x0, x1)
new_ltEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs36(x0, x1, ty_Ordering)
new_esEs16(Nothing, Just(x0), x1)
new_esEs6(x0, x1, app(ty_[], x2))
new_ltEs4(Just(x0), Just(x1), ty_Bool)
new_esEs18(:(x0, x1), [], x2)
new_compare18(Left(x0), Right(x1), x2, x3)
new_compare18(Right(x0), Left(x1), x2, x3)
new_primCmpNat0(Zero, Succ(x0))
new_esEs33(x0, x1, ty_Float)
new_esEs5(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18([], :(x0, x1), x2)
new_compare11(x0, True, x1)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(x0, x1, ty_Float)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_compare5(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Double)
new_compare211(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt7(x0, x1)
new_esEs5(x0, x1, ty_Char)
new_ltEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs8(x0, x1, ty_Int)
new_lt10(x0, x1, x2, x3)
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs6(x0, x1, ty_Integer)
new_ltEs13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs32(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(Left(x0), Left(x1), ty_Double, x2)
new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs33(x0, x1, ty_@0)
new_compare14(False)
new_compare114(x0, x1, x2, x3, False, x4, x5)
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Int)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(ty_[], x2))
new_compare18(Left(x0), Left(x1), x2, x3)
new_compare17(False, False)
new_lt12(x0, x1)
new_lt18(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Zero, Zero)
new_esEs16(Just(x0), Just(x1), ty_Integer)
new_lt19(x0, x1, ty_Double)
new_compare31(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Ordering)
new_compare11(x0, False, x1)
new_compare8(Just(x0), Just(x1), x2)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_lt13(x0, x1, ty_Float)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare19(x0, x1, False, x2, x3)
new_esEs17(Right(x0), Right(x1), x2, ty_Float)
new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_@0)
new_compare8(Nothing, Nothing, x0)
new_esEs4(x0, x1, ty_Int)
new_ltEs4(Just(x0), Just(x1), ty_Ordering)
new_esEs9(x0, x1, ty_Char)
new_esEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs4(x0, x1, ty_Bool)
new_esEs9(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_compare8(Nothing, Just(x0), x1)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare19(x0, x1, True, x2, x3)
new_esEs27(x0, x1, ty_Double)
new_primEqNat0(Zero, Succ(x0))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, ty_Int)
new_ltEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_compare27(x0, x1, False)
new_compare110(x0, x1, False, x2, x3)
new_compare25(x0, x1, False, x2)
new_esEs16(Just(x0), Just(x1), ty_Double)
new_ltEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_compare5(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs7(LT, GT)
new_ltEs7(GT, LT)
new_esEs28(x0, x1, ty_Float)
new_esEs7(x0, x1, ty_Ordering)
new_esEs5(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_esEs26(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Char)
new_primCmpNat0(Succ(x0), Succ(x1))
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, ty_Ordering)
new_compare31(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Float)
new_esEs21(:%(x0, x1), :%(x2, x3), x4)
new_not(True)
new_compare32(Char(x0), Char(x1))
new_esEs17(Left(x0), Left(x1), ty_Int, x2)
new_compare111(x0, True, x1)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Integer)
new_esEs7(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Bool)
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, ty_Double)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare211(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_not(False)
new_lt20(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_compare31(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, ty_Int)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs33(x0, x1, ty_Ordering)
new_lt11(x0, x1, x2, x3, x4)
new_ltEs5(x0, x1)
new_ltEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs10(x0, x1, ty_Integer)
new_sr(Integer(x0), Integer(x1))
new_compare110(x0, x1, True, x2, x3)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1, x2)
new_esEs32(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs6(Right(x0), Right(x1), x2, ty_@0)
new_compare15(x0, x1, True, x2, x3)
new_compare25(x0, x1, True, x2)
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs4(x0, x1, ty_Ordering)
new_primCompAux0(x0, LT)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs6(x0, x1, ty_Bool)
new_primPlusNat1(Succ(x0), Zero)
new_esEs34(x0, x1, ty_Double)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, False, x1)
new_lt19(x0, x1, ty_Float)
new_esEs18([], [], x0)
new_esEs19(Double(x0, x1), Double(x2, x3))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs7(x0, x1, ty_@0)
new_esEs16(Just(x0), Just(x1), ty_@0)
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_esEs17(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_compare29(Float(x0, x1), Float(x2, x3))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(True, True)
new_ltEs18(x0, x1, ty_Char)
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(ty_[], x2))
new_esEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_@0)
new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt19(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, ty_Bool)
new_ltEs14(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_ltEs4(Just(x0), Just(x1), ty_Float)
new_esEs35(x0, x1, ty_Int)
new_esEs7(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Ordering)
new_esEs23(x0, x1)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs4(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_ltEs10(x0, x1, x2)
new_compare28(x0, x1, False, x2, x3)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(False, False)
new_esEs26(x0, x1, ty_Double)
new_compare17(True, True)
new_esEs29(x0, x1, ty_Char)
new_ltEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs12(LT, LT)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(GT, EQ)
new_ltEs7(EQ, GT)
new_ltEs16(x0, x1)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_Bool)
new_lt19(x0, x1, ty_Bool)
new_primPlusNat1(Zero, Succ(x0))
new_ltEs7(GT, GT)
new_esEs8(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Bool)
new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_compare16(x0, x1, True)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_lt5(x0, x1, x2)
new_ltEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs29(x0, x1, ty_@0)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 12 less nodes.

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

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

new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(app(app(ty_@3, bae), baf), bag)), bac)) → new_ltEs1(vwx310, vwx410, bae, baf, bag)
new_ltEs3(@2(Left(vwx300), vwx31), @2(Left(vwx400), vwx41), app(app(ty_Either, bdb), bdc), bda) → new_compare22(vwx300, vwx400, new_esEs8(vwx300, vwx400, bdb), bdb, bdc)
new_lt2(Left(vwx300), Left(vwx400), bdb, bdc) → new_compare22(vwx300, vwx400, new_esEs8(vwx300, vwx400, bdb), bdb, bdc)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(ty_Maybe, bbe)) → new_ltEs(vwx310, vwx410, bbe)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(app(app(ty_@3, gb), gc), gd), fh) → new_lt1(vwx311, vwx411, gb, gc, gd)
new_ltEs0(vwx31, vwx41, cb) → new_compare(vwx31, vwx41, cb)
new_ltEs3(@2(Right(vwx300), vwx31), @2(Right(vwx400), vwx41), app(app(ty_Either, bdb), bdc), bda) → new_compare23(vwx300, vwx400, new_esEs9(vwx300, vwx400, bdc), bdb, bdc)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(app(ty_@2, fd), ff))) → new_ltEs3(vwx312, vwx412, fd, ff)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(ty_[], hb), ed, fh) → new_lt0(vwx310, vwx410, hb)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(app(ty_@2, fd), ff)) → new_ltEs3(vwx312, vwx412, fd, ff)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(ty_Maybe, fg)), fh)) → new_lt(vwx311, vwx411, fg)
new_ltEs3(@2(:(vwx300, vwx301), vwx31), @2(:(vwx400, vwx401), vwx41), app(ty_[], cc), bda) → new_compare(vwx301, vwx401, cc)
new_compare24(vwx300, vwx301, vwx400, vwx401, False, bdd, bde) → new_ltEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(app(ty_@2, hh), baa)), ed), fh)) → new_lt3(vwx310, vwx410, hh, baa)
new_compare4(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde) → new_compare24(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs11(vwx300, vwx400, bdd), new_esEs10(vwx301, vwx401, bde)), bdd, bde)
new_ltEs2(Left(vwx310), Left(vwx410), app(app(ty_Either, bah), bba), bac) → new_ltEs2(vwx310, vwx410, bah, bba)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(app(ty_Either, fb), fc))) → new_ltEs2(vwx312, vwx412, fb, fc)
new_ltEs(Just(vwx310), Just(vwx410), app(ty_[], bb)) → new_ltEs0(vwx310, vwx410, bb)
new_lt2(Right(vwx300), Right(vwx400), bdb, bdc) → new_compare23(vwx300, vwx400, new_esEs9(vwx300, vwx400, bdc), bdb, bdc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(ty_Maybe, ha), ed, fh) → new_lt(vwx310, vwx410, ha)
new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(ty_Maybe, bab)), bac)) → new_ltEs(vwx310, vwx410, bab)
new_ltEs2(Left(vwx310), Left(vwx410), app(ty_Maybe, bab), bac) → new_ltEs(vwx310, vwx410, bab)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(app(ty_@2, bcd), bce))) → new_ltEs3(vwx310, vwx410, bcd, bce)
new_lt(Just(vwx300), Just(vwx400), df) → new_compare20(vwx300, vwx400, new_esEs4(vwx300, vwx400, df), df)
new_ltEs3(@2(@2(vwx300, vwx301), vwx31), @2(@2(vwx400, vwx401), vwx41), app(app(ty_@2, bdd), bde), bda) → new_compare24(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs11(vwx300, vwx400, bdd), new_esEs10(vwx301, vwx401, bde)), bdd, bde)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(app(ty_@2, gg), gh), fh) → new_lt3(vwx311, vwx411, gg, gh)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(app(app(ty_@3, bbg), bbh), bca))) → new_ltEs1(vwx310, vwx410, bbg, bbh, bca)
new_compare2(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb) → new_compare21(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs7(vwx300, vwx400, dh), new_asAs(new_esEs6(vwx301, vwx401, ea), new_esEs5(vwx302, vwx402, eb))), dh, ea, eb)
new_lt0(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_compare(vwx301, vwx401, cc)
new_ltEs(Just(vwx310), Just(vwx410), app(app(app(ty_@3, bc), bd), be)) → new_ltEs1(vwx310, vwx410, bc, bd, be)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(ty_[], ga), fh) → new_lt0(vwx311, vwx411, ga)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(app(ty_Either, bf), bg))) → new_ltEs2(vwx310, vwx410, bf, bg)
new_ltEs3(@2(:(vwx300, vwx301), vwx31), @2(:(vwx400, vwx401), vwx41), app(ty_[], cc), bda) → new_primCompAux(vwx300, vwx400, new_compare0(vwx301, vwx401, cc), cc)
new_primCompAux(vwx300, vwx400, vwx96, app(ty_[], ce)) → new_compare(vwx300, vwx400, ce)
new_lt0(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_primCompAux(vwx300, vwx400, new_compare0(vwx301, vwx401, cc), cc)
new_ltEs(Just(vwx310), Just(vwx410), app(ty_Maybe, ba)) → new_ltEs(vwx310, vwx410, ba)
new_ltEs2(Left(vwx310), Left(vwx410), app(app(ty_@2, bbb), bbc), bac) → new_ltEs3(vwx310, vwx410, bbb, bbc)
new_compare1(Just(vwx300), Just(vwx400), df) → new_compare20(vwx300, vwx400, new_esEs4(vwx300, vwx400, df), df)
new_ltEs2(Left(vwx310), Left(vwx410), app(app(app(ty_@3, bae), baf), bag), bac) → new_ltEs1(vwx310, vwx410, bae, baf, bag)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(app(ty_@2, gg), gh)), fh)) → new_lt3(vwx311, vwx411, gg, gh)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(app(app(ty_@3, gb), gc), gd)), fh)) → new_lt1(vwx311, vwx411, gb, gc, gd)
new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(ty_[], bad)), bac)) → new_ltEs0(vwx310, vwx410, bad)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(ty_Maybe, ba))) → new_ltEs(vwx310, vwx410, ba)
new_compare3(Left(vwx300), Left(vwx400), bdb, bdc) → new_compare22(vwx300, vwx400, new_esEs8(vwx300, vwx400, bdb), bdb, bdc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(ty_@2, hh), baa), ed, fh) → new_lt3(vwx310, vwx410, hh, baa)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(ty_[], ga)), fh)) → new_lt0(vwx311, vwx411, ga)
new_ltEs3(@2(Just(vwx300), vwx31), @2(Just(vwx400), vwx41), app(ty_Maybe, df), bda) → new_compare20(vwx300, vwx400, new_esEs4(vwx300, vwx400, df), df)
new_ltEs3(@2(vwx30, vwx31), @2(vwx40, vwx41), bcf, app(app(ty_@2, bcg), bch)) → new_ltEs3(vwx31, vwx41, bcg, bch)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(app(app(ty_@3, bbg), bbh), bca)) → new_ltEs1(vwx310, vwx410, bbg, bbh, bca)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(app(ty_@2, bcd), bce)) → new_ltEs3(vwx310, vwx410, bcd, bce)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(app(ty_Either, ge), gf), fh) → new_lt2(vwx311, vwx411, ge, gf)
new_compare22(vwx117, vwx118, False, bdf, bdg) → new_ltEs2(Left(vwx117), Left(vwx118), bdf, bdg)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(app(ty_Either, bcb), bcc)) → new_ltEs2(vwx310, vwx410, bcb, bcc)
new_compare3(Right(vwx300), Right(vwx400), bdb, bdc) → new_compare23(vwx300, vwx400, new_esEs9(vwx300, vwx400, bdc), bdb, bdc)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(ty_Maybe, ha)), ed), fh)) → new_lt(vwx310, vwx410, ha)
new_lt1(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb) → new_compare21(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs7(vwx300, vwx400, dh), new_asAs(new_esEs6(vwx301, vwx401, ea), new_esEs5(vwx302, vwx402, eb))), dh, ea, eb)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(app(ty_@2, bh), ca))) → new_ltEs3(vwx310, vwx410, bh, ca)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(ty_[], bb))) → new_ltEs0(vwx310, vwx410, bb)
new_ltEs(Just(vwx310), Just(vwx410), app(app(ty_Either, bf), bg)) → new_ltEs2(vwx310, vwx410, bf, bg)
new_ltEs2(Right(vwx310), Right(vwx410), bbd, app(ty_[], bbf)) → new_ltEs0(vwx310, vwx410, bbf)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(ty_Either, hf), hg), ed, fh) → new_lt2(vwx310, vwx410, hf, hg)
new_ltEs3(@2(vwx30, Just(vwx310)), @2(vwx40, Just(vwx410)), bcf, app(ty_Maybe, app(app(app(ty_@3, bc), bd), be))) → new_ltEs1(vwx310, vwx410, bc, bd, be)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(ty_Maybe, ee))) → new_ltEs(vwx312, vwx412, ee)
new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(app(ty_@2, bbb), bbc)), bac)) → new_ltEs3(vwx310, vwx410, bbb, bbc)
new_compare21(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, False, dh, ea, eb) → new_ltEs1(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, app(ty_Maybe, fg), fh) → new_lt(vwx311, vwx411, fg)
new_lt3(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde) → new_compare24(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs11(vwx300, vwx400, bdd), new_esEs10(vwx301, vwx401, bde)), bdd, bde)
new_compare23(vwx124, vwx125, False, bdh, bea) → new_ltEs2(Right(vwx124), Right(vwx125), bdh, bea)
new_ltEs(Just(vwx310), Just(vwx410), app(app(ty_@2, bh), ca)) → new_ltEs3(vwx310, vwx410, bh, ca)
new_compare(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_compare(vwx301, vwx401, cc)
new_primCompAux(vwx300, vwx400, vwx96, app(ty_Maybe, cd)) → new_compare1(vwx300, vwx400, cd)
new_primCompAux(vwx300, vwx400, vwx96, app(app(ty_Either, db), dc)) → new_compare3(vwx300, vwx400, db, dc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(ty_Maybe, ee)) → new_ltEs(vwx312, vwx412, ee)
new_compare(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_primCompAux(vwx300, vwx400, new_compare0(vwx301, vwx401, cc), cc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(app(app(ty_@3, eg), eh), fa)) → new_ltEs1(vwx312, vwx412, eg, eh, fa)
new_primCompAux(vwx300, vwx400, vwx96, app(app(ty_@2, dd), de)) → new_compare4(vwx300, vwx400, dd, de)
new_ltEs3(@2(vwx30, vwx31), @2(vwx40, vwx41), bcf, app(ty_[], cb)) → new_compare(vwx31, vwx41, cb)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(app(ty_Either, bcb), bcc))) → new_ltEs2(vwx310, vwx410, bcb, bcc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(ty_[], ef)) → new_ltEs0(vwx312, vwx412, ef)
new_primCompAux(vwx300, vwx400, vwx96, app(app(app(ty_@3, cf), cg), da)) → new_compare2(vwx300, vwx400, cf, cg, da)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(app(app(ty_@3, eg), eh), fa))) → new_ltEs1(vwx312, vwx412, eg, eh, fa)
new_compare20(vwx103, vwx104, False, dg) → new_ltEs(Just(vwx103), Just(vwx104), dg)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), app(app(ty_Either, ge), gf)), fh)) → new_lt2(vwx311, vwx411, ge, gf)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(ty_[], hb)), ed), fh)) → new_lt0(vwx310, vwx410, hb)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, ec), ed), app(ty_[], ef))) → new_ltEs0(vwx312, vwx412, ef)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(ty_Maybe, bbe))) → new_ltEs(vwx310, vwx410, bbe)
new_ltEs3(@2(@3(vwx300, vwx301, vwx302), vwx31), @2(@3(vwx400, vwx401, vwx402), vwx41), app(app(app(ty_@3, dh), ea), eb), bda) → new_compare21(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs7(vwx300, vwx400, dh), new_asAs(new_esEs6(vwx301, vwx401, ea), new_esEs5(vwx302, vwx402, eb))), dh, ea, eb)
new_ltEs3(@2(vwx30, Left(vwx310)), @2(vwx40, Left(vwx410)), bcf, app(app(ty_Either, app(app(ty_Either, bah), bba)), bac)) → new_ltEs2(vwx310, vwx410, bah, bba)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(app(ty_Either, hf), hg)), ed), fh)) → new_lt2(vwx310, vwx410, hf, hg)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, app(app(ty_Either, fb), fc)) → new_ltEs2(vwx312, vwx412, fb, fc)
new_ltEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(app(ty_@3, hc), hd), he), ed, fh) → new_lt1(vwx310, vwx410, hc, hd, he)
new_ltEs3(@2(vwx30, @3(vwx310, vwx311, vwx312)), @2(vwx40, @3(vwx410, vwx411, vwx412)), bcf, app(app(app(ty_@3, app(app(app(ty_@3, hc), hd), he)), ed), fh)) → new_lt1(vwx310, vwx410, hc, hd, he)
new_ltEs3(@2(vwx30, Right(vwx310)), @2(vwx40, Right(vwx410)), bcf, app(app(ty_Either, bbd), app(ty_[], bbf))) → new_ltEs0(vwx310, vwx410, bbf)
new_ltEs2(Left(vwx310), Left(vwx410), app(ty_[], bad), bac) → new_ltEs0(vwx310, vwx410, bad)

The TRS R consists of the following rules:

new_esEs6(vwx301, vwx401, ty_Float) → new_esEs13(vwx301, vwx401)
new_esEs33(vwx301, vwx401, app(ty_Maybe, bed)) → new_esEs16(vwx301, vwx401, bed)
new_lt11(vwx30, vwx40, dh, ea, eb) → new_esEs12(new_compare33(vwx30, vwx40, dh, ea, eb), LT)
new_ltEs15(True, False) → False
new_lt19(vwx311, vwx411, app(app(ty_Either, ge), gf)) → new_lt10(vwx311, vwx411, ge, gf)
new_esEs5(vwx302, vwx402, ty_Double) → new_esEs19(vwx302, vwx402)
new_esEs21(:%(vwx300, vwx301), :%(vwx400, vwx401), bgf) → new_asAs(new_esEs31(vwx300, vwx400, bgf), new_esEs30(vwx301, vwx401, bgf))
new_esEs33(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_esEs28(vwx301, vwx401, ty_Double) → new_esEs19(vwx301, vwx401)
new_esEs34(vwx300, vwx400, app(app(ty_@2, cbg), cbh)) → new_esEs15(vwx300, vwx400, cbg, cbh)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Double) → new_ltEs9(vwx310, vwx410)
new_esEs34(vwx300, vwx400, app(app(ty_Either, ccb), ccc)) → new_esEs17(vwx300, vwx400, ccb, ccc)
new_compare15(vwx117, vwx118, True, bdf, bdg) → LT
new_compare5(:%(vwx300, vwx301), :%(vwx400, vwx401), ty_Int) → new_compare7(new_sr0(vwx300, vwx401), new_sr0(vwx400, vwx301))
new_compare8(Just(vwx300), Nothing, df) → new_compare11(vwx300, new_ltEs4(Just(vwx300), Nothing, df), df)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs20(vwx300, vwx400, cba, cbb, cbc)
new_compare110(vwx300, vwx400, True, bdb, bdc) → LT
new_ltEs18(vwx31, vwx41, app(ty_Maybe, cbe)) → new_ltEs4(vwx31, vwx41, cbe)
new_lt13(vwx30, vwx40, app(ty_Ratio, bgf)) → new_lt6(vwx30, vwx40, bgf)
new_ltEs7(LT, EQ) → True
new_esEs34(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs6(vwx301, vwx401, app(app(app(ty_@3, cfc), cfd), cfe)) → new_esEs20(vwx301, vwx401, cfc, cfd, cfe)
new_esEs4(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs10(vwx301, vwx401, app(app(ty_Either, bee), bef)) → new_esEs17(vwx301, vwx401, bee, bef)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs17(Left(vwx300), Left(vwx400), app(ty_Ratio, cab), bdc) → new_esEs21(vwx300, vwx400, cab)
new_ltEs6(Left(vwx310), Left(vwx410), ty_@0, bac) → new_ltEs11(vwx310, vwx410)
new_lt12(vwx30, vwx40) → new_esEs12(new_compare6(vwx30, vwx40), LT)
new_esEs34(vwx300, vwx400, app(app(app(ty_@3, cce), ccf), ccg)) → new_esEs20(vwx300, vwx400, cce, ccf, ccg)
new_compare18(Left(vwx300), Right(vwx400), bdb, bdc) → new_compare19(vwx300, vwx400, new_ltEs6(Left(vwx300), Right(vwx400), bdb, bdc), bdb, bdc)
new_lt13(vwx30, vwx40, app(app(ty_Either, bdb), bdc)) → new_lt10(vwx30, vwx40, bdb, bdc)
new_esEs6(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_lt19(vwx311, vwx411, ty_Int) → new_lt4(vwx311, vwx411)
new_esEs26(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), app(ty_Ratio, cec), bac) → new_ltEs8(vwx310, vwx410, cec)
new_compare29(Float(vwx300, vwx301), Float(vwx400, vwx401)) → new_compare7(new_sr0(vwx300, vwx400), new_sr0(vwx301, vwx401))
new_primMulNat0(Zero, Zero) → Zero
new_compare17(False, True) → new_compare113(new_ltEs15(False, True))
new_esEs17(Right(vwx300), Left(vwx400), bdb, bdc) → False
new_esEs17(Left(vwx300), Right(vwx400), bdb, bdc) → False
new_esEs5(vwx302, vwx402, ty_Float) → new_esEs13(vwx302, vwx402)
new_lt13(vwx30, vwx40, ty_@0) → new_lt7(vwx30, vwx40)
new_esEs16(Nothing, Nothing, df) → True
new_lt20(vwx310, vwx410, ty_@0) → new_lt7(vwx310, vwx410)
new_esEs17(Left(vwx300), Left(vwx400), app(ty_[], bhf), bdc) → new_esEs18(vwx300, vwx400, bhf)
new_sr(Integer(vwx4000), Integer(vwx3010)) → Integer(new_primMulInt(vwx4000, vwx3010))
new_ltEs19(vwx312, vwx412, ty_Double) → new_ltEs9(vwx312, vwx412)
new_compare25(vwx103, vwx104, True, dg) → EQ
new_compare8(Just(vwx300), Just(vwx400), df) → new_compare25(vwx300, vwx400, new_esEs4(vwx300, vwx400, df), df)
new_ltEs18(vwx31, vwx41, ty_Integer) → new_ltEs5(vwx31, vwx41)
new_esEs11(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_compare32(Char(vwx300), Char(vwx400)) → new_primCmpNat0(vwx300, vwx400)
new_esEs9(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs7(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Bool) → new_ltEs15(vwx310, vwx410)
new_fsEs(vwx97) → new_not(new_esEs12(vwx97, GT))
new_esEs34(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_esEs35(vwx311, vwx411, app(ty_Maybe, fg)) → new_esEs16(vwx311, vwx411, fg)
new_esEs7(vwx300, vwx400, app(app(app(ty_@3, cge), cgf), cgg)) → new_esEs20(vwx300, vwx400, cge, cgf, cgg)
new_lt20(vwx310, vwx410, ty_Double) → new_lt14(vwx310, vwx410)
new_esEs34(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_lt19(vwx311, vwx411, app(ty_Ratio, chb)) → new_lt6(vwx311, vwx411, chb)
new_esEs12(LT, GT) → False
new_esEs12(GT, LT) → False
new_lt9(vwx30, vwx40) → new_esEs12(new_compare17(vwx30, vwx40), LT)
new_ltEs6(Left(vwx310), Left(vwx410), app(app(ty_Either, bah), bba), bac) → new_ltEs6(vwx310, vwx410, bah, bba)
new_ltEs4(Just(vwx310), Just(vwx410), app(ty_Ratio, cbf)) → new_ltEs8(vwx310, vwx410, cbf)
new_ltEs4(Just(vwx310), Just(vwx410), app(ty_[], bb)) → new_ltEs10(vwx310, vwx410, bb)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Char) → new_ltEs12(vwx310, vwx410)
new_esEs11(vwx300, vwx400, app(app(ty_@2, cbg), cbh)) → new_esEs15(vwx300, vwx400, cbg, cbh)
new_lt19(vwx311, vwx411, ty_Ordering) → new_lt8(vwx311, vwx411)
new_esEs30(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_esEs32(vwx30, vwx40, app(ty_[], cc)) → new_esEs18(vwx30, vwx40, cc)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs29(vwx300, vwx400, app(app(ty_Either, cgb), cgc)) → new_esEs17(vwx300, vwx400, cgb, cgc)
new_esEs5(vwx302, vwx402, app(app(app(ty_@3, bgb), bgc), bgd)) → new_esEs20(vwx302, vwx402, bgb, bgc, bgd)
new_esEs16(Just(vwx300), Just(vwx400), ty_Int) → new_esEs23(vwx300, vwx400)
new_esEs5(vwx302, vwx402, ty_Bool) → new_esEs22(vwx302, vwx402)
new_ltEs18(vwx31, vwx41, ty_Ordering) → new_ltEs7(vwx31, vwx41)
new_esEs5(vwx302, vwx402, app(ty_[], bga)) → new_esEs18(vwx302, vwx402, bga)
new_esEs31(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs28(vwx301, vwx401, app(app(ty_@2, cee), cef)) → new_esEs15(vwx301, vwx401, cee, cef)
new_esEs33(vwx301, vwx401, ty_Char) → new_esEs25(vwx301, vwx401)
new_ltEs19(vwx312, vwx412, app(ty_Maybe, ee)) → new_ltEs4(vwx312, vwx412, ee)
new_compare30(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde) → new_compare210(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs11(vwx300, vwx400, bdd), new_esEs10(vwx301, vwx401, bde)), bdd, bde)
new_esEs29(vwx300, vwx400, app(app(ty_@2, cfg), cfh)) → new_esEs15(vwx300, vwx400, cfg, cfh)
new_lt20(vwx310, vwx410, ty_Float) → new_lt17(vwx310, vwx410)
new_esEs7(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_compare18(Left(vwx300), Left(vwx400), bdb, bdc) → new_compare26(vwx300, vwx400, new_esEs8(vwx300, vwx400, bdb), bdb, bdc)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs7(vwx300, vwx400, app(ty_Maybe, cga)) → new_esEs16(vwx300, vwx400, cga)
new_esEs33(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_ltEs19(vwx312, vwx412, ty_Float) → new_ltEs16(vwx312, vwx412)
new_esEs9(vwx300, vwx400, app(ty_[], cah)) → new_esEs18(vwx300, vwx400, cah)
new_compare31(vwx300, vwx400, ty_Integer) → new_compare6(vwx300, vwx400)
new_pePe(False, vwx81) → vwx81
new_esEs33(vwx301, vwx401, ty_Double) → new_esEs19(vwx301, vwx401)
new_esEs18([], :(vwx400, vwx401), cc) → False
new_esEs18(:(vwx300, vwx301), [], cc) → False
new_ltEs15(True, True) → True
new_esEs36(vwx310, vwx410, app(ty_[], hb)) → new_esEs18(vwx310, vwx410, hb)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(ty_[], bbf)) → new_ltEs10(vwx310, vwx410, bbf)
new_ltEs14(vwx31, vwx41) → new_fsEs(new_compare7(vwx31, vwx41))
new_ltEs6(Left(vwx310), Left(vwx410), app(ty_[], bad), bac) → new_ltEs10(vwx310, vwx410, bad)
new_lt13(vwx30, vwx40, ty_Double) → new_lt14(vwx30, vwx40)
new_esEs7(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs5(vwx302, vwx402, ty_Ordering) → new_esEs12(vwx302, vwx402)
new_lt13(vwx30, vwx40, app(ty_[], cc)) → new_lt15(vwx30, vwx40, cc)
new_esEs9(vwx300, vwx400, app(app(ty_@2, cac), cad)) → new_esEs15(vwx300, vwx400, cac, cad)
new_esEs11(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_ltEs15(False, True) → True
new_esEs26(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Int, bac) → new_ltEs14(vwx310, vwx410)
new_esEs27(vwx302, vwx402, app(ty_Maybe, bff)) → new_esEs16(vwx302, vwx402, bff)
new_ltEs4(Nothing, Just(vwx410), cbe) → True
new_esEs6(vwx301, vwx401, app(ty_[], cfb)) → new_esEs18(vwx301, vwx401, cfb)
new_esEs35(vwx311, vwx411, app(app(ty_@2, gg), gh)) → new_esEs15(vwx311, vwx411, gg, gh)
new_esEs10(vwx301, vwx401, ty_Ordering) → new_esEs12(vwx301, vwx401)
new_esEs8(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_ltEs7(GT, GT) → True
new_compare31(vwx300, vwx400, ty_Ordering) → new_compare13(vwx300, vwx400)
new_compare111(vwx400, False, df) → GT
new_compare111(vwx400, True, df) → LT
new_compare10(vwx103, vwx104, True, dg) → LT
new_ltEs15(False, False) → True
new_esEs32(vwx30, vwx40, ty_Integer) → new_esEs24(vwx30, vwx40)
new_esEs34(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_ltEs18(vwx31, vwx41, ty_@0) → new_ltEs11(vwx31, vwx41)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(ty_[], cah)) → new_esEs18(vwx300, vwx400, cah)
new_esEs4(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_primCmpNat0(Zero, Succ(vwx4000)) → LT
new_compare210(vwx300, vwx301, vwx400, vwx401, False, bdd, bde) → new_compare114(vwx300, vwx301, vwx400, vwx401, new_ltEs17(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde), bdd, bde)
new_esEs5(vwx302, vwx402, ty_Int) → new_esEs23(vwx302, vwx402)
new_esEs9(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs10(vwx301, vwx401, app(ty_Maybe, bed)) → new_esEs16(vwx301, vwx401, bed)
new_esEs10(vwx301, vwx401, ty_Char) → new_esEs25(vwx301, vwx401)
new_esEs8(vwx300, vwx400, app(app(app(ty_@3, bhg), bhh), caa)) → new_esEs20(vwx300, vwx400, bhg, bhh, caa)
new_lt19(vwx311, vwx411, ty_Bool) → new_lt9(vwx311, vwx411)
new_lt13(vwx30, vwx40, ty_Ordering) → new_lt8(vwx30, vwx40)
new_lt8(vwx30, vwx40) → new_esEs12(new_compare13(vwx30, vwx40), LT)
new_esEs32(vwx30, vwx40, app(ty_Ratio, bgf)) → new_esEs21(vwx30, vwx40, bgf)
new_esEs17(Left(vwx300), Left(vwx400), ty_Integer, bdc) → new_esEs24(vwx300, vwx400)
new_esEs4(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs12(LT, LT) → True
new_compare10(vwx103, vwx104, False, dg) → GT
new_esEs8(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs33(vwx301, vwx401, ty_Float) → new_esEs13(vwx301, vwx401)
new_esEs34(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_pePe(True, vwx81) → True
new_compare0([], [], cc) → EQ
new_primEqNat0(Zero, Zero) → True
new_esEs28(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_compare31(vwx300, vwx400, app(app(ty_Either, db), dc)) → new_compare18(vwx300, vwx400, db, dc)
new_esEs4(vwx300, vwx400, app(app(ty_@2, cda), cdb)) → new_esEs15(vwx300, vwx400, cda, cdb)
new_esEs8(vwx300, vwx400, app(app(ty_@2, bha), bhb)) → new_esEs15(vwx300, vwx400, bha, bhb)
new_esEs14(@0, @0) → True
new_esEs35(vwx311, vwx411, ty_Integer) → new_esEs24(vwx311, vwx411)
new_ltEs17(@2(vwx30, vwx31), @2(vwx40, vwx41), bcf, bda) → new_pePe(new_lt13(vwx30, vwx40, bcf), new_asAs(new_esEs32(vwx30, vwx40, bcf), new_ltEs18(vwx31, vwx41, bda)))
new_ltEs6(Left(vwx310), Left(vwx410), app(app(ty_@2, bbb), bbc), bac) → new_ltEs17(vwx310, vwx410, bbb, bbc)
new_esEs16(Just(vwx300), Just(vwx400), ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs34(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs32(vwx30, vwx40, app(app(app(ty_@3, dh), ea), eb)) → new_esEs20(vwx30, vwx40, dh, ea, eb)
new_esEs36(vwx310, vwx410, app(app(ty_Either, hf), hg)) → new_esEs17(vwx310, vwx410, hf, hg)
new_lt16(vwx30, vwx40) → new_esEs12(new_compare32(vwx30, vwx40), LT)
new_esEs9(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs10(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_esEs6(vwx301, vwx401, ty_Ordering) → new_esEs12(vwx301, vwx401)
new_compare110(vwx300, vwx400, False, bdb, bdc) → GT
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Integer) → new_ltEs5(vwx310, vwx410)
new_esEs35(vwx311, vwx411, ty_Float) → new_esEs13(vwx311, vwx411)
new_compare7(vwx30, vwx40) → new_primCmpInt(vwx30, vwx40)
new_esEs5(vwx302, vwx402, app(app(ty_Either, bfg), bfh)) → new_esEs17(vwx302, vwx402, bfg, bfh)
new_esEs34(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs6(vwx301, vwx401, app(app(ty_@2, cee), cef)) → new_esEs15(vwx301, vwx401, cee, cef)
new_compare31(vwx300, vwx400, ty_Double) → new_compare9(vwx300, vwx400)
new_esEs11(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_lt13(vwx30, vwx40, app(app(ty_@2, bdd), bde)) → new_lt18(vwx30, vwx40, bdd, bde)
new_primPlusNat0(Succ(vwx1400), vwx40100) → Succ(Succ(new_primPlusNat1(vwx1400, vwx40100)))
new_esEs8(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs11(vwx300, vwx400, app(ty_Maybe, cca)) → new_esEs16(vwx300, vwx400, cca)
new_esEs20(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb) → new_asAs(new_esEs29(vwx300, vwx400, dh), new_asAs(new_esEs28(vwx301, vwx401, ea), new_esEs27(vwx302, vwx402, eb)))
new_esEs5(vwx302, vwx402, app(ty_Maybe, bff)) → new_esEs16(vwx302, vwx402, bff)
new_lt19(vwx311, vwx411, app(app(app(ty_@3, gb), gc), gd)) → new_lt11(vwx311, vwx411, gb, gc, gd)
new_ltEs19(vwx312, vwx412, ty_Bool) → new_ltEs15(vwx312, vwx412)
new_esEs10(vwx301, vwx401, app(app(app(ty_@3, beh), bfa), bfb)) → new_esEs20(vwx301, vwx401, beh, bfa, bfb)
new_ltEs12(vwx31, vwx41) → new_fsEs(new_compare32(vwx31, vwx41))
new_esEs32(vwx30, vwx40, app(ty_Maybe, df)) → new_esEs16(vwx30, vwx40, df)
new_esEs28(vwx301, vwx401, ty_@0) → new_esEs14(vwx301, vwx401)
new_esEs17(Left(vwx300), Left(vwx400), ty_Char, bdc) → new_esEs25(vwx300, vwx400)
new_lt20(vwx310, vwx410, ty_Bool) → new_lt9(vwx310, vwx410)
new_esEs29(vwx300, vwx400, app(app(app(ty_@3, cge), cgf), cgg)) → new_esEs20(vwx300, vwx400, cge, cgf, cgg)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Bool) → new_ltEs15(vwx310, vwx410)
new_lt20(vwx310, vwx410, app(app(ty_@2, hh), baa)) → new_lt18(vwx310, vwx410, hh, baa)
new_primEqInt(Neg(Succ(vwx3000)), Neg(Succ(vwx4000))) → new_primEqNat0(vwx3000, vwx4000)
new_ltEs19(vwx312, vwx412, app(app(ty_@2, fd), ff)) → new_ltEs17(vwx312, vwx412, fd, ff)
new_esEs28(vwx301, vwx401, ty_Char) → new_esEs25(vwx301, vwx401)
new_lt6(vwx30, vwx40, bgf) → new_esEs12(new_compare5(vwx30, vwx40, bgf), LT)
new_compare115(vwx124, vwx125, True, bdh, bea) → LT
new_esEs36(vwx310, vwx410, ty_Char) → new_esEs25(vwx310, vwx410)
new_esEs35(vwx311, vwx411, ty_Double) → new_esEs19(vwx311, vwx411)
new_esEs36(vwx310, vwx410, app(app(ty_@2, hh), baa)) → new_esEs15(vwx310, vwx410, hh, baa)
new_primPlusNat1(Zero, Succ(vwx401000)) → Succ(vwx401000)
new_primPlusNat1(Succ(vwx14000), Zero) → Succ(vwx14000)
new_lt19(vwx311, vwx411, ty_Float) → new_lt17(vwx311, vwx411)
new_esEs10(vwx301, vwx401, app(ty_[], beg)) → new_esEs18(vwx301, vwx401, beg)
new_ltEs4(Nothing, Nothing, cbe) → True
new_esEs16(Just(vwx300), Just(vwx400), ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs36(vwx310, vwx410, ty_Int) → new_esEs23(vwx310, vwx410)
new_esEs26(vwx300, vwx400, app(app(ty_Either, db), dc)) → new_esEs17(vwx300, vwx400, db, dc)
new_compare17(False, False) → EQ
new_lt18(vwx30, vwx40, bdd, bde) → new_esEs12(new_compare30(vwx30, vwx40, bdd, bde), LT)
new_lt20(vwx310, vwx410, ty_Int) → new_lt4(vwx310, vwx410)
new_esEs36(vwx310, vwx410, ty_@0) → new_esEs14(vwx310, vwx410)
new_compare16(vwx30, vwx40, True) → LT
new_esEs12(LT, EQ) → False
new_esEs12(EQ, LT) → False
new_ltEs4(Just(vwx310), Just(vwx410), ty_@0) → new_ltEs11(vwx310, vwx410)
new_esEs16(Just(vwx300), Just(vwx400), app(ty_Ratio, ceb)) → new_esEs21(vwx300, vwx400, ceb)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs17(Left(vwx300), Left(vwx400), ty_@0, bdc) → new_esEs14(vwx300, vwx400)
new_ltEs19(vwx312, vwx412, app(ty_Ratio, cha)) → new_ltEs8(vwx312, vwx412, cha)
new_esEs29(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs24(Integer(vwx300), Integer(vwx400)) → new_primEqInt(vwx300, vwx400)
new_ltEs7(EQ, EQ) → True
new_esEs33(vwx301, vwx401, app(app(app(ty_@3, beh), bfa), bfb)) → new_esEs20(vwx301, vwx401, beh, bfa, bfb)
new_esEs6(vwx301, vwx401, app(app(ty_Either, ceh), cfa)) → new_esEs17(vwx301, vwx401, ceh, cfa)
new_lt19(vwx311, vwx411, ty_Integer) → new_lt12(vwx311, vwx411)
new_esEs27(vwx302, vwx402, app(ty_Ratio, bge)) → new_esEs21(vwx302, vwx402, bge)
new_primEqInt(Neg(Succ(vwx3000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(vwx4000))) → False
new_primCompAux0(vwx109, GT) → GT
new_ltEs19(vwx312, vwx412, ty_Char) → new_ltEs12(vwx312, vwx412)
new_compare18(Right(vwx300), Right(vwx400), bdb, bdc) → new_compare28(vwx300, vwx400, new_esEs9(vwx300, vwx400, bdc), bdb, bdc)
new_compare26(vwx117, vwx118, True, bdf, bdg) → EQ
new_esEs26(vwx300, vwx400, app(ty_Maybe, cd)) → new_esEs16(vwx300, vwx400, cd)
new_ltEs19(vwx312, vwx412, ty_Int) → new_ltEs14(vwx312, vwx412)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Double, bac) → new_ltEs9(vwx310, vwx410)
new_lt20(vwx310, vwx410, ty_Char) → new_lt16(vwx310, vwx410)
new_lt20(vwx310, vwx410, ty_Ordering) → new_lt8(vwx310, vwx410)
new_esEs27(vwx302, vwx402, app(app(app(ty_@3, bgb), bgc), bgd)) → new_esEs20(vwx302, vwx402, bgb, bgc, bgd)
new_esEs26(vwx300, vwx400, app(ty_Ratio, bgg)) → new_esEs21(vwx300, vwx400, bgg)
new_esEs5(vwx302, vwx402, ty_@0) → new_esEs14(vwx302, vwx402)
new_esEs6(vwx301, vwx401, ty_Bool) → new_esEs22(vwx301, vwx401)
new_esEs9(vwx300, vwx400, app(app(ty_Either, caf), cag)) → new_esEs17(vwx300, vwx400, caf, cag)
new_esEs26(vwx300, vwx400, app(ty_[], ce)) → new_esEs18(vwx300, vwx400, ce)
new_lt20(vwx310, vwx410, app(ty_Maybe, ha)) → new_lt5(vwx310, vwx410, ha)
new_esEs23(vwx30, vwx40) → new_primEqInt(vwx30, vwx40)
new_esEs7(vwx300, vwx400, app(app(ty_@2, cfg), cfh)) → new_esEs15(vwx300, vwx400, cfg, cfh)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs8(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_ltEs7(GT, LT) → False
new_esEs29(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_primCmpNat0(Succ(vwx3000), Succ(vwx4000)) → new_primCmpNat0(vwx3000, vwx4000)
new_ltEs19(vwx312, vwx412, ty_@0) → new_ltEs11(vwx312, vwx412)
new_ltEs18(vwx31, vwx41, app(app(ty_Either, bbd), bac)) → new_ltEs6(vwx31, vwx41, bbd, bac)
new_ltEs7(GT, EQ) → False
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Ordering) → new_ltEs7(vwx310, vwx410)
new_esEs4(vwx300, vwx400, app(ty_Ratio, ceb)) → new_esEs21(vwx300, vwx400, ceb)
new_esEs7(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_primEqInt(Pos(Succ(vwx3000)), Pos(Succ(vwx4000))) → new_primEqNat0(vwx3000, vwx4000)
new_ltEs10(vwx31, vwx41, cb) → new_fsEs(new_compare0(vwx31, vwx41, cb))
new_esEs35(vwx311, vwx411, ty_Char) → new_esEs25(vwx311, vwx411)
new_lt13(vwx30, vwx40, ty_Bool) → new_lt9(vwx30, vwx40)
new_compare8(Nothing, Nothing, df) → EQ
new_esEs33(vwx301, vwx401, ty_@0) → new_esEs14(vwx301, vwx401)
new_ltEs13(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ec, ed, fh) → new_pePe(new_lt20(vwx310, vwx410, ec), new_asAs(new_esEs36(vwx310, vwx410, ec), new_pePe(new_lt19(vwx311, vwx411, ed), new_asAs(new_esEs35(vwx311, vwx411, ed), new_ltEs19(vwx312, vwx412, fh)))))
new_compare8(Nothing, Just(vwx400), df) → new_compare111(vwx400, new_ltEs4(Nothing, Just(vwx400), df), df)
new_compare211(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, False, dh, ea, eb) → new_compare112(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_ltEs13(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb), dh, ea, eb)
new_esEs27(vwx302, vwx402, ty_Int) → new_esEs23(vwx302, vwx402)
new_primEqNat0(Succ(vwx3000), Succ(vwx4000)) → new_primEqNat0(vwx3000, vwx4000)
new_esEs4(vwx300, vwx400, app(ty_Maybe, cdc)) → new_esEs16(vwx300, vwx400, cdc)
new_esEs32(vwx30, vwx40, app(app(ty_Either, bdb), bdc)) → new_esEs17(vwx30, vwx40, bdb, bdc)
new_esEs26(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_lt19(vwx311, vwx411, ty_@0) → new_lt7(vwx311, vwx411)
new_esEs32(vwx30, vwx40, ty_Char) → new_esEs25(vwx30, vwx40)
new_esEs11(vwx300, vwx400, app(ty_Ratio, cch)) → new_esEs21(vwx300, vwx400, cch)
new_compare17(True, True) → EQ
new_ltEs9(vwx31, vwx41) → new_fsEs(new_compare9(vwx31, vwx41))
new_esEs16(Just(vwx300), Just(vwx400), ty_Ordering) → new_esEs12(vwx300, vwx400)
new_primCmpInt(Neg(Succ(vwx3000)), Neg(vwx400)) → new_primCmpNat0(vwx400, Succ(vwx3000))
new_ltEs6(Left(vwx310), Right(vwx410), bbd, bac) → True
new_lt15(vwx30, vwx40, cc) → new_esEs12(new_compare0(vwx30, vwx40, cc), LT)
new_esEs30(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_esEs15(@2(vwx300, vwx301), @2(vwx400, vwx401), bdd, bde) → new_asAs(new_esEs34(vwx300, vwx400, bdd), new_esEs33(vwx301, vwx401, bde))
new_esEs12(EQ, EQ) → True
new_ltEs6(Right(vwx310), Left(vwx410), bbd, bac) → False
new_esEs35(vwx311, vwx411, ty_Ordering) → new_esEs12(vwx311, vwx411)
new_primEqInt(Pos(Succ(vwx3000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(vwx4000))) → False
new_compare14(True) → LT
new_compare28(vwx124, vwx125, False, bdh, bea) → new_compare115(vwx124, vwx125, new_ltEs6(Right(vwx124), Right(vwx125), bdh, bea), bdh, bea)
new_esEs11(vwx300, vwx400, app(ty_[], ccd)) → new_esEs18(vwx300, vwx400, ccd)
new_compare5(:%(vwx300, vwx301), :%(vwx400, vwx401), ty_Integer) → new_compare6(new_sr(vwx300, vwx401), new_sr(vwx400, vwx301))
new_lt14(vwx30, vwx40) → new_esEs12(new_compare9(vwx30, vwx40), LT)
new_esEs34(vwx300, vwx400, app(ty_[], ccd)) → new_esEs18(vwx300, vwx400, ccd)
new_esEs4(vwx300, vwx400, ty_Bool) → new_esEs22(vwx300, vwx400)
new_esEs34(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs6(vwx301, vwx401, ty_@0) → new_esEs14(vwx301, vwx401)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(ty_Ratio, cbd)) → new_esEs21(vwx300, vwx400, cbd)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(vwx3000), Zero) → GT
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(ty_Maybe, cae)) → new_esEs16(vwx300, vwx400, cae)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Ordering) → new_ltEs7(vwx310, vwx410)
new_esEs11(vwx300, vwx400, app(app(ty_Either, ccb), ccc)) → new_esEs17(vwx300, vwx400, ccb, ccc)
new_esEs36(vwx310, vwx410, ty_Integer) → new_esEs24(vwx310, vwx410)
new_lt20(vwx310, vwx410, app(ty_Ratio, chc)) → new_lt6(vwx310, vwx410, chc)
new_esEs6(vwx301, vwx401, app(ty_Maybe, ceg)) → new_esEs16(vwx301, vwx401, ceg)
new_primCmpInt(Neg(Zero), Pos(Succ(vwx4000))) → LT
new_esEs27(vwx302, vwx402, app(app(ty_Either, bfg), bfh)) → new_esEs17(vwx302, vwx402, bfg, bfh)
new_esEs28(vwx301, vwx401, app(app(ty_Either, ceh), cfa)) → new_esEs17(vwx301, vwx401, ceh, cfa)
new_esEs8(vwx300, vwx400, app(ty_[], bhf)) → new_esEs18(vwx300, vwx400, bhf)
new_primPlusNat1(Succ(vwx14000), Succ(vwx401000)) → Succ(Succ(new_primPlusNat1(vwx14000, vwx401000)))
new_compare6(Integer(vwx300), Integer(vwx400)) → new_primCmpInt(vwx300, vwx400)
new_compare18(Right(vwx300), Left(vwx400), bdb, bdc) → new_compare110(vwx300, vwx400, new_ltEs6(Right(vwx300), Left(vwx400), bdb, bdc), bdb, bdc)
new_lt13(vwx30, vwx40, app(ty_Maybe, df)) → new_lt5(vwx30, vwx40, df)
new_compare28(vwx124, vwx125, True, bdh, bea) → EQ
new_ltEs6(Left(vwx310), Left(vwx410), ty_Ordering, bac) → new_ltEs7(vwx310, vwx410)
new_primEqInt(Pos(Succ(vwx3000)), Neg(vwx400)) → False
new_primEqInt(Neg(Succ(vwx3000)), Pos(vwx400)) → False
new_esEs33(vwx301, vwx401, ty_Ordering) → new_esEs12(vwx301, vwx401)
new_esEs5(vwx302, vwx402, app(app(ty_@2, bfd), bfe)) → new_esEs15(vwx302, vwx402, bfd, bfe)
new_esEs29(vwx300, vwx400, app(ty_Ratio, cgh)) → new_esEs21(vwx300, vwx400, cgh)
new_ltEs6(Left(vwx310), Left(vwx410), app(ty_Maybe, bab), bac) → new_ltEs4(vwx310, vwx410, bab)
new_esEs17(Left(vwx300), Left(vwx400), ty_Double, bdc) → new_esEs19(vwx300, vwx400)
new_esEs29(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), app(app(app(ty_@3, bae), baf), bag), bac) → new_ltEs13(vwx310, vwx410, bae, baf, bag)
new_esEs16(Just(vwx300), Just(vwx400), app(ty_[], cdf)) → new_esEs18(vwx300, vwx400, cdf)
new_ltEs7(EQ, GT) → True
new_primEqInt(Pos(Zero), Neg(Succ(vwx4000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(vwx4000))) → False
new_esEs18(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_asAs(new_esEs26(vwx300, vwx400, cc), new_esEs18(vwx301, vwx401, cc))
new_primCmpInt(Pos(Zero), Pos(Succ(vwx4000))) → new_primCmpNat0(Zero, Succ(vwx4000))
new_esEs9(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs10(vwx301, vwx401, ty_Double) → new_esEs19(vwx301, vwx401)
new_esEs8(vwx300, vwx400, app(app(ty_Either, bhd), bhe)) → new_esEs17(vwx300, vwx400, bhd, bhe)
new_esEs16(Just(vwx300), Just(vwx400), ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs7(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs28(vwx301, vwx401, ty_Ordering) → new_esEs12(vwx301, vwx401)
new_esEs26(vwx300, vwx400, app(app(ty_@2, dd), de)) → new_esEs15(vwx300, vwx400, dd, de)
new_ltEs19(vwx312, vwx412, app(app(app(ty_@3, eg), eh), fa)) → new_ltEs13(vwx312, vwx412, eg, eh, fa)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(ty_Ratio, ced)) → new_ltEs8(vwx310, vwx410, ced)
new_primCompAux0(vwx109, LT) → LT
new_compare17(True, False) → new_compare14(new_ltEs15(True, False))
new_ltEs18(vwx31, vwx41, app(ty_Ratio, bgh)) → new_ltEs8(vwx31, vwx41, bgh)
new_esEs28(vwx301, vwx401, ty_Integer) → new_esEs24(vwx301, vwx401)
new_esEs35(vwx311, vwx411, ty_Int) → new_esEs23(vwx311, vwx411)
new_not(False) → True
new_compare12(@0, @0) → EQ
new_esEs34(vwx300, vwx400, app(ty_Ratio, cch)) → new_esEs21(vwx300, vwx400, cch)
new_esEs10(vwx301, vwx401, ty_@0) → new_esEs14(vwx301, vwx401)
new_primCmpInt(Pos(Succ(vwx3000)), Pos(vwx400)) → new_primCmpNat0(Succ(vwx3000), vwx400)
new_primPlusNat0(Zero, vwx40100) → Succ(vwx40100)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Int) → new_ltEs14(vwx310, vwx410)
new_ltEs4(Just(vwx310), Just(vwx410), app(app(app(ty_@3, bc), bd), be)) → new_ltEs13(vwx310, vwx410, bc, bd, be)
new_lt13(vwx30, vwx40, ty_Integer) → new_lt12(vwx30, vwx40)
new_esEs12(EQ, GT) → False
new_esEs12(GT, EQ) → False
new_ltEs19(vwx312, vwx412, app(ty_[], ef)) → new_ltEs10(vwx312, vwx412, ef)
new_esEs27(vwx302, vwx402, app(app(ty_@2, bfd), bfe)) → new_esEs15(vwx302, vwx402, bfd, bfe)
new_esEs4(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs33(vwx301, vwx401, app(app(ty_@2, beb), bec)) → new_esEs15(vwx301, vwx401, beb, bec)
new_esEs29(vwx300, vwx400, app(ty_Maybe, cga)) → new_esEs16(vwx300, vwx400, cga)
new_esEs10(vwx301, vwx401, ty_Bool) → new_esEs22(vwx301, vwx401)
new_esEs33(vwx301, vwx401, ty_Bool) → new_esEs22(vwx301, vwx401)
new_lt13(vwx30, vwx40, app(app(app(ty_@3, dh), ea), eb)) → new_lt11(vwx30, vwx40, dh, ea, eb)
new_compare113(True) → LT
new_esEs35(vwx311, vwx411, ty_@0) → new_esEs14(vwx311, vwx411)
new_esEs6(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_esEs32(vwx30, vwx40, app(app(ty_@2, bdd), bde)) → new_esEs15(vwx30, vwx40, bdd, bde)
new_esEs36(vwx310, vwx410, app(ty_Ratio, chc)) → new_esEs21(vwx310, vwx410, chc)
new_esEs29(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Bool, bac) → new_ltEs15(vwx310, vwx410)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(ty_Maybe, bbe)) → new_ltEs4(vwx310, vwx410, bbe)
new_esEs17(Left(vwx300), Left(vwx400), ty_Float, bdc) → new_esEs13(vwx300, vwx400)
new_esEs27(vwx302, vwx402, ty_@0) → new_esEs14(vwx302, vwx402)
new_esEs29(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Char, bac) → new_ltEs12(vwx310, vwx410)
new_compare0(:(vwx300, vwx301), [], cc) → GT
new_lt10(vwx30, vwx40, bdb, bdc) → new_esEs12(new_compare18(vwx30, vwx40, bdb, bdc), LT)
new_lt19(vwx311, vwx411, app(app(ty_@2, gg), gh)) → new_lt18(vwx311, vwx411, gg, gh)
new_esEs11(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_esEs27(vwx302, vwx402, app(ty_[], bga)) → new_esEs18(vwx302, vwx402, bga)
new_esEs16(Just(vwx300), Just(vwx400), ty_Bool) → new_esEs22(vwx300, vwx400)
new_lt13(vwx30, vwx40, ty_Int) → new_lt4(vwx30, vwx40)
new_esEs16(Just(vwx300), Just(vwx400), app(ty_Maybe, cdc)) → new_esEs16(vwx300, vwx400, cdc)
new_esEs16(Just(vwx300), Just(vwx400), app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs20(vwx300, vwx400, cdg, cdh, cea)
new_primCmpInt(Pos(Succ(vwx3000)), Neg(vwx400)) → GT
new_esEs4(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs8(vwx300, vwx400, app(ty_Ratio, cab)) → new_esEs21(vwx300, vwx400, cab)
new_lt19(vwx311, vwx411, app(ty_[], ga)) → new_lt15(vwx311, vwx411, ga)
new_esEs33(vwx301, vwx401, app(ty_Ratio, bfc)) → new_esEs21(vwx301, vwx401, bfc)
new_primMulInt(Pos(vwx3010), Pos(vwx4010)) → Pos(new_primMulNat0(vwx3010, vwx4010))
new_esEs8(vwx300, vwx400, app(ty_Maybe, bhc)) → new_esEs16(vwx300, vwx400, bhc)
new_esEs6(vwx301, vwx401, ty_Double) → new_esEs19(vwx301, vwx401)
new_esEs31(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_esEs26(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_lt20(vwx310, vwx410, app(app(ty_Either, hf), hg)) → new_lt10(vwx310, vwx410, hf, hg)
new_primMulInt(Neg(vwx3010), Neg(vwx4010)) → Pos(new_primMulNat0(vwx3010, vwx4010))
new_esEs17(Left(vwx300), Left(vwx400), ty_Ordering, bdc) → new_esEs12(vwx300, vwx400)
new_esEs10(vwx301, vwx401, ty_Float) → new_esEs13(vwx301, vwx401)
new_lt20(vwx310, vwx410, app(app(app(ty_@3, hc), hd), he)) → new_lt11(vwx310, vwx410, hc, hd, he)
new_primEqNat0(Zero, Succ(vwx4000)) → False
new_primEqNat0(Succ(vwx3000), Zero) → False
new_esEs6(vwx301, vwx401, app(ty_Ratio, cff)) → new_esEs21(vwx301, vwx401, cff)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs11(vwx300, vwx400, app(app(app(ty_@3, cce), ccf), ccg)) → new_esEs20(vwx300, vwx400, cce, ccf, ccg)
new_esEs33(vwx301, vwx401, app(app(ty_Either, bee), bef)) → new_esEs17(vwx301, vwx401, bee, bef)
new_compare31(vwx300, vwx400, app(ty_Maybe, cd)) → new_compare8(vwx300, vwx400, cd)
new_compare31(vwx300, vwx400, app(app(ty_@2, dd), de)) → new_compare30(vwx300, vwx400, dd, de)
new_ltEs8(vwx31, vwx41, bgh) → new_fsEs(new_compare5(vwx31, vwx41, bgh))
new_compare27(vwx30, vwx40, False) → new_compare16(vwx30, vwx40, new_ltEs7(vwx30, vwx40))
new_esEs32(vwx30, vwx40, ty_@0) → new_esEs14(vwx30, vwx40)
new_compare14(False) → GT
new_ltEs18(vwx31, vwx41, app(app(ty_@2, bcg), bch)) → new_ltEs17(vwx31, vwx41, bcg, bch)
new_esEs7(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_@0) → new_ltEs11(vwx310, vwx410)
new_esEs17(Left(vwx300), Left(vwx400), app(app(ty_Either, bhd), bhe), bdc) → new_esEs17(vwx300, vwx400, bhd, bhe)
new_esEs11(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs6(vwx301, vwx401, ty_Char) → new_esEs25(vwx301, vwx401)
new_esEs10(vwx301, vwx401, ty_Int) → new_esEs23(vwx301, vwx401)
new_ltEs18(vwx31, vwx41, app(app(app(ty_@3, ec), ed), fh)) → new_ltEs13(vwx31, vwx41, ec, ed, fh)
new_compare33(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), dh, ea, eb) → new_compare211(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs7(vwx300, vwx400, dh), new_asAs(new_esEs6(vwx301, vwx401, ea), new_esEs5(vwx302, vwx402, eb))), dh, ea, eb)
new_esEs5(vwx302, vwx402, ty_Integer) → new_esEs24(vwx302, vwx402)
new_esEs10(vwx301, vwx401, app(ty_Ratio, bfc)) → new_esEs21(vwx301, vwx401, bfc)
new_esEs27(vwx302, vwx402, ty_Integer) → new_esEs24(vwx302, vwx402)
new_ltEs16(vwx31, vwx41) → new_fsEs(new_compare29(vwx31, vwx41))
new_primCmpInt(Neg(Zero), Neg(Succ(vwx4000))) → new_primCmpNat0(Succ(vwx4000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vwx4000))) → GT
new_esEs32(vwx30, vwx40, ty_Float) → new_esEs13(vwx30, vwx40)
new_esEs22(True, True) → True
new_compare0(:(vwx300, vwx301), :(vwx400, vwx401), cc) → new_primCompAux1(vwx300, vwx400, new_compare0(vwx301, vwx401, cc), cc)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(app(ty_@2, cac), cad)) → new_esEs15(vwx300, vwx400, cac, cad)
new_compare19(vwx300, vwx400, True, bdb, bdc) → LT
new_lt4(vwx30, vwx40) → new_esEs12(new_compare7(vwx30, vwx40), LT)
new_sr0(vwx301, vwx401) → new_primMulInt(vwx301, vwx401)
new_compare211(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, True, dh, ea, eb) → EQ
new_compare15(vwx117, vwx118, False, bdf, bdg) → GT
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Bool) → new_esEs22(vwx300, vwx400)
new_compare112(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, False, dh, ea, eb) → GT
new_esEs26(vwx300, vwx400, ty_@0) → new_esEs14(vwx300, vwx400)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(app(ty_@2, bcd), bce)) → new_ltEs17(vwx310, vwx410, bcd, bce)
new_compare31(vwx300, vwx400, ty_Float) → new_compare29(vwx300, vwx400)
new_ltEs18(vwx31, vwx41, app(ty_[], cb)) → new_ltEs10(vwx31, vwx41, cb)
new_esEs9(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_ltEs18(vwx31, vwx41, ty_Int) → new_ltEs14(vwx31, vwx41)
new_lt19(vwx311, vwx411, ty_Char) → new_lt16(vwx311, vwx411)
new_ltEs4(Just(vwx310), Just(vwx410), app(ty_Maybe, ba)) → new_ltEs4(vwx310, vwx410, ba)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(app(ty_Either, bcb), bcc)) → new_ltEs6(vwx310, vwx410, bcb, bcc)
new_esEs35(vwx311, vwx411, app(app(ty_Either, ge), gf)) → new_esEs17(vwx311, vwx411, ge, gf)
new_esEs28(vwx301, vwx401, app(ty_[], cfb)) → new_esEs18(vwx301, vwx401, cfb)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Char) → new_ltEs12(vwx310, vwx410)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt20(vwx310, vwx410, app(ty_[], hb)) → new_lt15(vwx310, vwx410, hb)
new_esEs27(vwx302, vwx402, ty_Float) → new_esEs13(vwx302, vwx402)
new_primCompAux1(vwx300, vwx400, vwx96, cc) → new_primCompAux0(vwx96, new_compare31(vwx300, vwx400, cc))
new_esEs27(vwx302, vwx402, ty_Bool) → new_esEs22(vwx302, vwx402)
new_esEs16(Just(vwx300), Just(vwx400), app(app(ty_@2, cda), cdb)) → new_esEs15(vwx300, vwx400, cda, cdb)
new_esEs5(vwx302, vwx402, app(ty_Ratio, bge)) → new_esEs21(vwx302, vwx402, bge)
new_compare31(vwx300, vwx400, app(app(app(ty_@3, cf), cg), da)) → new_compare33(vwx300, vwx400, cf, cg, da)
new_esEs35(vwx311, vwx411, ty_Bool) → new_esEs22(vwx311, vwx411)
new_esEs26(vwx300, vwx400, app(app(app(ty_@3, cf), cg), da)) → new_esEs20(vwx300, vwx400, cf, cg, da)
new_esEs9(vwx300, vwx400, app(ty_Ratio, cbd)) → new_esEs21(vwx300, vwx400, cbd)
new_esEs29(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs36(vwx310, vwx410, ty_Bool) → new_esEs22(vwx310, vwx410)
new_esEs17(Left(vwx300), Left(vwx400), app(app(ty_@2, bha), bhb), bdc) → new_esEs15(vwx300, vwx400, bha, bhb)
new_asAs(False, vwx94) → False
new_esEs26(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_ltEs5(vwx31, vwx41) → new_fsEs(new_compare6(vwx31, vwx41))
new_primMulInt(Neg(vwx3010), Pos(vwx4010)) → Neg(new_primMulNat0(vwx3010, vwx4010))
new_primMulInt(Pos(vwx3010), Neg(vwx4010)) → Neg(new_primMulNat0(vwx3010, vwx4010))
new_primMulNat0(Succ(vwx30100), Zero) → Zero
new_primMulNat0(Zero, Succ(vwx40100)) → Zero
new_esEs36(vwx310, vwx410, ty_Ordering) → new_esEs12(vwx310, vwx410)
new_esEs13(Float(vwx300, vwx301), Float(vwx400, vwx401)) → new_esEs23(new_sr0(vwx300, vwx400), new_sr0(vwx301, vwx401))
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs18([], [], cc) → True
new_esEs22(False, False) → True
new_esEs28(vwx301, vwx401, app(ty_Maybe, ceg)) → new_esEs16(vwx301, vwx401, ceg)
new_esEs27(vwx302, vwx402, ty_Char) → new_esEs25(vwx302, vwx402)
new_esEs19(Double(vwx300, vwx301), Double(vwx400, vwx401)) → new_esEs23(new_sr0(vwx300, vwx400), new_sr0(vwx301, vwx401))
new_lt13(vwx30, vwx40, ty_Float) → new_lt17(vwx30, vwx40)
new_ltEs4(Just(vwx310), Just(vwx410), app(app(ty_@2, bh), ca)) → new_ltEs17(vwx310, vwx410, bh, ca)
new_esEs17(Left(vwx300), Left(vwx400), ty_Int, bdc) → new_esEs23(vwx300, vwx400)
new_esEs22(False, True) → False
new_esEs22(True, False) → False
new_esEs4(vwx300, vwx400, app(ty_[], cdf)) → new_esEs18(vwx300, vwx400, cdf)
new_esEs16(Just(vwx300), Just(vwx400), ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs35(vwx311, vwx411, app(app(app(ty_@3, gb), gc), gd)) → new_esEs20(vwx311, vwx411, gb, gc, gd)
new_compare31(vwx300, vwx400, app(ty_[], ce)) → new_compare0(vwx300, vwx400, ce)
new_compare9(Double(vwx300, vwx301), Double(vwx400, vwx401)) → new_compare7(new_sr0(vwx300, vwx400), new_sr0(vwx301, vwx401))
new_ltEs4(Just(vwx310), Just(vwx410), app(app(ty_Either, bf), bg)) → new_ltEs6(vwx310, vwx410, bf, bg)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Double) → new_ltEs9(vwx310, vwx410)
new_esEs32(vwx30, vwx40, ty_Int) → new_esEs23(vwx30, vwx40)
new_ltEs18(vwx31, vwx41, ty_Char) → new_ltEs12(vwx31, vwx41)
new_esEs7(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs28(vwx301, vwx401, ty_Float) → new_esEs13(vwx301, vwx401)
new_lt19(vwx311, vwx411, app(ty_Maybe, fg)) → new_lt5(vwx311, vwx411, fg)
new_esEs29(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_esEs7(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_compare27(vwx30, vwx40, True) → EQ
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Int) → new_ltEs14(vwx310, vwx410)
new_esEs26(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs9(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs25(Char(vwx300), Char(vwx400)) → new_primEqNat0(vwx300, vwx400)
new_esEs35(vwx311, vwx411, app(ty_[], ga)) → new_esEs18(vwx311, vwx411, ga)
new_ltEs19(vwx312, vwx412, ty_Integer) → new_ltEs5(vwx312, vwx412)
new_compare31(vwx300, vwx400, ty_@0) → new_compare12(vwx300, vwx400)
new_esEs11(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_ltEs11(vwx31, vwx41) → new_fsEs(new_compare12(vwx31, vwx41))
new_esEs8(vwx300, vwx400, ty_Float) → new_esEs13(vwx300, vwx400)
new_esEs28(vwx301, vwx401, ty_Bool) → new_esEs22(vwx301, vwx401)
new_esEs17(Right(vwx300), Right(vwx400), bdb, app(app(ty_Either, caf), cag)) → new_esEs17(vwx300, vwx400, caf, cag)
new_esEs32(vwx30, vwx40, ty_Ordering) → new_esEs12(vwx30, vwx40)
new_compare26(vwx117, vwx118, False, bdf, bdg) → new_compare15(vwx117, vwx118, new_ltEs6(Left(vwx117), Left(vwx118), bdf, bdg), bdf, bdg)
new_compare11(vwx300, False, df) → GT
new_ltEs6(Left(vwx310), Left(vwx410), ty_Integer, bac) → new_ltEs5(vwx310, vwx410)
new_compare31(vwx300, vwx400, ty_Char) → new_compare32(vwx300, vwx400)
new_esEs5(vwx302, vwx402, ty_Char) → new_esEs25(vwx302, vwx402)
new_lt20(vwx310, vwx410, ty_Integer) → new_lt12(vwx310, vwx410)
new_esEs32(vwx30, vwx40, ty_Bool) → new_esEs22(vwx30, vwx40)
new_ltEs18(vwx31, vwx41, ty_Float) → new_ltEs16(vwx31, vwx41)
new_esEs8(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_compare113(False) → GT
new_compare11(vwx300, True, df) → LT
new_esEs27(vwx302, vwx402, ty_Ordering) → new_esEs12(vwx302, vwx402)
new_esEs7(vwx300, vwx400, app(ty_Ratio, cgh)) → new_esEs21(vwx300, vwx400, cgh)
new_ltEs6(Right(vwx310), Right(vwx410), bbd, app(app(app(ty_@3, bbg), bbh), bca)) → new_ltEs13(vwx310, vwx410, bbg, bbh, bca)
new_esEs16(Nothing, Just(vwx400), df) → False
new_esEs16(Just(vwx300), Nothing, df) → False
new_esEs12(GT, GT) → True
new_esEs11(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_ltEs7(EQ, LT) → False
new_ltEs7(LT, LT) → True
new_esEs9(vwx300, vwx400, ty_Integer) → new_esEs24(vwx300, vwx400)
new_compare114(vwx300, vwx301, vwx400, vwx401, True, bdd, bde) → LT
new_esEs7(vwx300, vwx400, app(app(ty_Either, cgb), cgc)) → new_esEs17(vwx300, vwx400, cgb, cgc)
new_esEs33(vwx301, vwx401, app(ty_[], beg)) → new_esEs18(vwx301, vwx401, beg)
new_esEs29(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_esEs29(vwx300, vwx400, app(ty_[], cgd)) → new_esEs18(vwx300, vwx400, cgd)
new_ltEs18(vwx31, vwx41, ty_Bool) → new_ltEs15(vwx31, vwx41)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs9(vwx300, vwx400, app(app(app(ty_@3, cba), cbb), cbc)) → new_esEs20(vwx300, vwx400, cba, cbb, cbc)
new_compare0([], :(vwx400, vwx401), cc) → LT
new_ltEs6(Right(vwx310), Right(vwx410), bbd, ty_Float) → new_ltEs16(vwx310, vwx410)
new_esEs4(vwx300, vwx400, app(app(ty_Either, cdd), cde)) → new_esEs17(vwx300, vwx400, cdd, cde)
new_esEs17(Left(vwx300), Left(vwx400), ty_Bool, bdc) → new_esEs22(vwx300, vwx400)
new_esEs16(Just(vwx300), Just(vwx400), app(app(ty_Either, cdd), cde)) → new_esEs17(vwx300, vwx400, cdd, cde)
new_asAs(True, vwx94) → vwx94
new_lt17(vwx30, vwx40) → new_esEs12(new_compare29(vwx30, vwx40), LT)
new_compare115(vwx124, vwx125, False, bdh, bea) → GT
new_esEs16(Just(vwx300), Just(vwx400), ty_Double) → new_esEs19(vwx300, vwx400)
new_ltEs7(LT, GT) → True
new_ltEs4(Just(vwx310), Nothing, cbe) → False
new_esEs34(vwx300, vwx400, app(ty_Maybe, cca)) → new_esEs16(vwx300, vwx400, cca)
new_esEs36(vwx310, vwx410, app(ty_Maybe, ha)) → new_esEs16(vwx310, vwx410, ha)
new_primMulNat0(Succ(vwx30100), Succ(vwx40100)) → new_primPlusNat0(new_primMulNat0(vwx30100, Succ(vwx40100)), vwx40100)
new_esEs28(vwx301, vwx401, app(app(app(ty_@3, cfc), cfd), cfe)) → new_esEs20(vwx301, vwx401, cfc, cfd, cfe)
new_esEs9(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs28(vwx301, vwx401, app(ty_Ratio, cff)) → new_esEs21(vwx301, vwx401, cff)
new_compare31(vwx300, vwx400, app(ty_Ratio, bgg)) → new_compare5(vwx300, vwx400, bgg)
new_compare31(vwx300, vwx400, ty_Int) → new_compare7(vwx300, vwx400)
new_esEs17(Left(vwx300), Left(vwx400), app(app(app(ty_@3, bhg), bhh), caa), bdc) → new_esEs20(vwx300, vwx400, bhg, bhh, caa)
new_esEs4(vwx300, vwx400, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs20(vwx300, vwx400, cdg, cdh, cea)
new_esEs4(vwx300, vwx400, ty_Int) → new_esEs23(vwx300, vwx400)
new_esEs32(vwx30, vwx40, ty_Double) → new_esEs19(vwx30, vwx40)
new_esEs26(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_ltEs6(Left(vwx310), Left(vwx410), ty_Float, bac) → new_ltEs16(vwx310, vwx410)
new_esEs8(vwx300, vwx400, ty_Ordering) → new_esEs12(vwx300, vwx400)
new_ltEs19(vwx312, vwx412, ty_Ordering) → new_ltEs7(vwx312, vwx412)
new_esEs4(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_compare112(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, True, dh, ea, eb) → LT
new_lt19(vwx311, vwx411, ty_Double) → new_lt14(vwx311, vwx411)
new_esEs36(vwx310, vwx410, ty_Float) → new_esEs13(vwx310, vwx410)
new_lt13(vwx30, vwx40, ty_Char) → new_lt16(vwx30, vwx40)
new_compare19(vwx300, vwx400, False, bdb, bdc) → GT
new_esEs10(vwx301, vwx401, app(app(ty_@2, beb), bec)) → new_esEs15(vwx301, vwx401, beb, bec)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Float) → new_ltEs16(vwx310, vwx410)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Int) → new_esEs23(vwx300, vwx400)
new_compare31(vwx300, vwx400, ty_Bool) → new_compare17(vwx300, vwx400)
new_esEs9(vwx300, vwx400, app(ty_Maybe, cae)) → new_esEs16(vwx300, vwx400, cae)
new_ltEs4(Just(vwx310), Just(vwx410), ty_Integer) → new_ltEs5(vwx310, vwx410)
new_esEs8(vwx300, vwx400, ty_Double) → new_esEs19(vwx300, vwx400)
new_esEs35(vwx311, vwx411, app(ty_Ratio, chb)) → new_esEs21(vwx311, vwx411, chb)
new_ltEs18(vwx31, vwx41, ty_Double) → new_ltEs9(vwx31, vwx41)
new_esEs7(vwx300, vwx400, app(ty_[], cgd)) → new_esEs18(vwx300, vwx400, cgd)
new_esEs17(Left(vwx300), Left(vwx400), app(ty_Maybe, bhc), bdc) → new_esEs16(vwx300, vwx400, bhc)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_lt7(vwx30, vwx40) → new_esEs12(new_compare12(vwx30, vwx40), LT)
new_primCompAux0(vwx109, EQ) → vwx109
new_esEs36(vwx310, vwx410, ty_Double) → new_esEs19(vwx310, vwx410)
new_compare114(vwx300, vwx301, vwx400, vwx401, False, bdd, bde) → GT
new_ltEs19(vwx312, vwx412, app(app(ty_Either, fb), fc)) → new_ltEs6(vwx312, vwx412, fb, fc)
new_esEs11(vwx300, vwx400, ty_Char) → new_esEs25(vwx300, vwx400)
new_esEs17(Right(vwx300), Right(vwx400), bdb, ty_Char) → new_esEs25(vwx300, vwx400)
new_lt5(vwx30, vwx40, df) → new_esEs12(new_compare8(vwx30, vwx40, df), LT)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primCmpInt(Neg(Succ(vwx3000)), Pos(vwx400)) → LT
new_esEs36(vwx310, vwx410, app(app(app(ty_@3, hc), hd), he)) → new_esEs20(vwx310, vwx410, hc, hd, he)
new_compare13(vwx30, vwx40) → new_compare27(vwx30, vwx40, new_esEs12(vwx30, vwx40))
new_compare210(vwx300, vwx301, vwx400, vwx401, True, bdd, bde) → EQ
new_compare16(vwx30, vwx40, False) → GT
new_not(True) → False
new_esEs27(vwx302, vwx402, ty_Double) → new_esEs19(vwx302, vwx402)
new_compare25(vwx103, vwx104, False, dg) → new_compare10(vwx103, vwx104, new_ltEs4(Just(vwx103), Just(vwx104), dg), dg)

The set Q consists of the following terms:

new_ltEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs8(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Char)
new_esEs17(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(x0, x1, False, x2, x3)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_Char)
new_esEs36(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Double)
new_ltEs4(Nothing, Just(x0), x1)
new_esEs20(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_pePe(False, x0)
new_esEs16(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs28(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(Right(x0), Right(x1), x2, ty_Bool)
new_esEs9(x0, x1, app(ty_[], x2))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, ty_Int)
new_pePe(True, x0)
new_ltEs11(x0, x1)
new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, ty_Int)
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, x2, x3, True, x4, x5)
new_esEs34(x0, x1, ty_Char)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs4(Nothing, Nothing, x0)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs17(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs18(x0, x1, ty_Float)
new_esEs24(Integer(x0), Integer(x1))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Char)
new_ltEs7(EQ, EQ)
new_esEs16(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs4(x0, x1, ty_Char)
new_esEs6(x0, x1, ty_Char)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_esEs17(Right(x0), Right(x1), x2, ty_Double)
new_ltEs15(True, True)
new_esEs8(x0, x1, ty_Bool)
new_primCompAux1(x0, x1, x2, x3)
new_compare10(x0, x1, False, x2)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Double)
new_compare16(x0, x1, False)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs12(GT, EQ)
new_esEs12(EQ, GT)
new_ltEs15(False, False)
new_esEs22(False, True)
new_esEs22(True, False)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(True, x0)
new_ltEs7(EQ, LT)
new_ltEs7(LT, EQ)
new_compare210(x0, x1, x2, x3, False, x4, x5)
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_Integer)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs29(x0, x1, ty_Double)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(x0, x1, ty_Ordering)
new_compare31(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primCompAux0(x0, EQ)
new_esEs9(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Double)
new_lt20(x0, x1, ty_Char)
new_esEs27(x0, x1, ty_@0)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs12(GT, GT)
new_fsEs(x0)
new_esEs8(x0, x1, ty_Float)
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_esEs25(Char(x0), Char(x1))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare28(x0, x1, True, x2, x3)
new_compare113(False)
new_ltEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs35(x0, x1, ty_Char)
new_ltEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs29(x0, x1, ty_Float)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, ty_Int)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs7(LT, LT)
new_ltEs4(Just(x0), Just(x1), ty_Char)
new_esEs17(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs4(Just(x0), Just(x1), ty_@0)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs16(Just(x0), Nothing, x1)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_ltEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare115(x0, x1, True, x2, x3)
new_ltEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs18(x0, x1, app(ty_[], x2))
new_compare14(True)
new_esEs29(x0, x1, ty_Int)
new_esEs17(Left(x0), Left(x1), ty_Bool, x2)
new_lt16(x0, x1)
new_esEs33(x0, x1, ty_Integer)
new_compare9(Double(x0, x1), Double(x2, x3))
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_compare8(Just(x0), Nothing, x1)
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs11(x0, x1, ty_Ordering)
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, app(ty_[], x2))
new_ltEs6(Left(x0), Left(x1), ty_@0, x2)
new_esEs32(x0, x1, ty_Bool)
new_esEs16(Nothing, Nothing, x0)
new_primEqNat0(Zero, Zero)
new_compare26(x0, x1, False, x2, x3)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs33(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Float)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs17(Left(x0), Left(x1), ty_Char, x2)
new_ltEs6(Left(x0), Left(x1), ty_Bool, x2)
new_lt19(x0, x1, ty_Char)
new_ltEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Double)
new_esEs35(x0, x1, ty_Ordering)
new_compare33(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare12(@0, @0)
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs34(x0, x1, ty_Int)
new_primMulNat0(Zero, Zero)
new_lt13(x0, x1, ty_Ordering)
new_esEs16(Just(x0), Just(x1), ty_Ordering)
new_esEs16(Just(x0), Just(x1), ty_Char)
new_lt13(x0, x1, ty_Bool)
new_compare27(x0, x1, True)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Integer)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_@0)
new_ltEs17(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs5(x0, x1, ty_Double)
new_ltEs6(Right(x0), Right(x1), x2, ty_Bool)
new_esEs9(x0, x1, ty_Float)
new_esEs5(x0, x1, ty_Ordering)
new_esEs16(Just(x0), Just(x1), ty_Int)
new_ltEs6(Right(x0), Right(x1), x2, ty_Integer)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_@0)
new_esEs34(x0, x1, ty_@0)
new_compare113(True)
new_esEs6(x0, x1, ty_Int)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, ty_Integer)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs4(Just(x0), Just(x1), ty_Int)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs16(Just(x0), Just(x1), ty_Float)
new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, ty_@0)
new_esEs15(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_compare7(x0, x1)
new_esEs34(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare115(x0, x1, False, x2, x3)
new_esEs14(@0, @0)
new_esEs5(x0, x1, ty_Integer)
new_lt13(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_Char)
new_esEs6(x0, x1, ty_@0)
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Integer)
new_ltEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(x0, x1, ty_Bool)
new_ltEs9(x0, x1)
new_lt19(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, x2, x3, True, x4, x5)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs6(Left(x0), Right(x1), x2, x3)
new_ltEs6(Right(x0), Left(x1), x2, x3)
new_compare0([], [], x0)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Char)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs16(Just(x0), Just(x1), app(ty_[], x2))
new_lt13(x0, x1, ty_Char)
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, ty_Bool)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Ordering)
new_esEs17(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs36(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs4(Just(x0), Nothing, x1)
new_esEs36(x0, x1, ty_Double)
new_esEs36(x0, x1, ty_Int)
new_ltEs6(Right(x0), Right(x1), x2, ty_Int)
new_ltEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs12(EQ, LT)
new_esEs12(LT, EQ)
new_esEs17(Right(x0), Right(x1), x2, ty_@0)
new_lt19(x0, x1, app(ty_Ratio, x2))
new_sr0(x0, x1)
new_lt14(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_ltEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primPlusNat1(Zero, Zero)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_compare13(x0, x1)
new_lt19(x0, x1, ty_@0)
new_compare6(Integer(x0), Integer(x1))
new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare0([], :(x0, x1), x2)
new_esEs30(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Integer)
new_esEs17(Right(x0), Left(x1), x2, x3)
new_esEs17(Left(x0), Right(x1), x2, x3)
new_esEs12(EQ, EQ)
new_esEs8(x0, x1, ty_Integer)
new_ltEs6(Left(x0), Left(x1), ty_Char, x2)
new_esEs16(Just(x0), Just(x1), ty_Bool)
new_asAs(False, x0)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Ordering)
new_esEs17(Left(x0), Left(x1), ty_Double, x2)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, ty_Float)
new_lt13(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_lt17(x0, x1)
new_esEs4(x0, x1, ty_Float)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs4(Just(x0), Just(x1), ty_Double)
new_esEs13(Float(x0, x1), Float(x2, x3))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(x0, x1, ty_@0)
new_compare26(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Double)
new_lt6(x0, x1, x2)
new_primMulNat0(Zero, Succ(x0))
new_ltEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, ty_Float)
new_esEs12(GT, LT)
new_esEs12(LT, GT)
new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs6(Left(x0), Left(x1), ty_Int, x2)
new_esEs35(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs15(False, True)
new_ltEs15(True, False)
new_ltEs8(x0, x1, x2)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_esEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_Float)
new_esEs34(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Char)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs27(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Double)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare30(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt8(x0, x1)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_esEs34(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Int)
new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs7(x0, x1, ty_Bool)
new_primMulNat0(Succ(x0), Zero)
new_esEs10(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Int)
new_esEs36(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Ordering)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_compare10(x0, x1, True, x2)
new_primCompAux0(x0, GT)
new_compare18(Right(x0), Right(x1), x2, x3)
new_compare31(x0, x1, ty_Float)
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs18(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_Double)
new_compare112(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs4(Just(x0), Just(x1), ty_Integer)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, ty_Integer)
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_[], x2))
new_lt13(x0, x1, ty_Int)
new_compare31(x0, x1, ty_Integer)
new_esEs35(x0, x1, ty_Double)
new_ltEs12(x0, x1)
new_compare17(False, True)
new_compare17(True, False)
new_esEs11(x0, x1, ty_Int)
new_lt9(x0, x1)
new_ltEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs36(x0, x1, ty_Ordering)
new_esEs16(Nothing, Just(x0), x1)
new_esEs6(x0, x1, app(ty_[], x2))
new_ltEs4(Just(x0), Just(x1), ty_Bool)
new_esEs18(:(x0, x1), [], x2)
new_compare18(Left(x0), Right(x1), x2, x3)
new_compare18(Right(x0), Left(x1), x2, x3)
new_primCmpNat0(Zero, Succ(x0))
new_esEs33(x0, x1, ty_Float)
new_esEs5(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs18([], :(x0, x1), x2)
new_compare11(x0, True, x1)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(x0, x1, ty_Float)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_compare5(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare31(x0, x1, ty_Double)
new_compare211(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt7(x0, x1)
new_esEs5(x0, x1, ty_Char)
new_ltEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs8(x0, x1, ty_Int)
new_lt10(x0, x1, x2, x3)
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs6(x0, x1, ty_Integer)
new_ltEs13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs32(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(Left(x0), Left(x1), ty_Double, x2)
new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs33(x0, x1, ty_@0)
new_compare14(False)
new_compare114(x0, x1, x2, x3, False, x4, x5)
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Int)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(ty_[], x2))
new_compare18(Left(x0), Left(x1), x2, x3)
new_compare17(False, False)
new_lt12(x0, x1)
new_lt18(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Int)
new_primCmpNat0(Zero, Zero)
new_esEs16(Just(x0), Just(x1), ty_Integer)
new_lt19(x0, x1, ty_Double)
new_compare31(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_Ordering)
new_compare11(x0, False, x1)
new_compare8(Just(x0), Just(x1), x2)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Char)
new_ltEs18(x0, x1, ty_Bool)
new_lt13(x0, x1, ty_Float)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare19(x0, x1, False, x2, x3)
new_esEs17(Right(x0), Right(x1), x2, ty_Float)
new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_@0)
new_compare8(Nothing, Nothing, x0)
new_esEs4(x0, x1, ty_Int)
new_ltEs4(Just(x0), Just(x1), ty_Ordering)
new_esEs9(x0, x1, ty_Char)
new_esEs17(Left(x0), Left(x1), ty_Float, x2)
new_esEs4(x0, x1, ty_Bool)
new_esEs9(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_compare8(Nothing, Just(x0), x1)
new_esEs26(x0, x1, ty_Float)
new_ltEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare19(x0, x1, True, x2, x3)
new_esEs27(x0, x1, ty_Double)
new_primEqNat0(Zero, Succ(x0))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, ty_Int)
new_ltEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_compare27(x0, x1, False)
new_compare110(x0, x1, False, x2, x3)
new_compare25(x0, x1, False, x2)
new_esEs16(Just(x0), Just(x1), ty_Double)
new_ltEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_compare5(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs7(LT, GT)
new_ltEs7(GT, LT)
new_esEs28(x0, x1, ty_Float)
new_esEs7(x0, x1, ty_Ordering)
new_esEs5(x0, x1, ty_@0)
new_primPlusNat0(Succ(x0), x1)
new_esEs26(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Char)
new_primCmpNat0(Succ(x0), Succ(x1))
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, ty_Ordering)
new_compare31(x0, x1, ty_Int)
new_lt20(x0, x1, ty_Float)
new_esEs21(:%(x0, x1), :%(x2, x3), x4)
new_not(True)
new_compare32(Char(x0), Char(x1))
new_esEs17(Left(x0), Left(x1), ty_Int, x2)
new_compare111(x0, True, x1)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_Integer)
new_esEs7(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Bool)
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, ty_Double)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_compare211(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_not(False)
new_lt20(x0, x1, ty_@0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_compare31(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, ty_Int)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs17(Left(x0), Left(x1), ty_@0, x2)
new_esEs33(x0, x1, ty_Ordering)
new_lt11(x0, x1, x2, x3, x4)
new_ltEs5(x0, x1)
new_ltEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Succ(x0), Succ(x1))
new_esEs10(x0, x1, ty_Integer)
new_sr(Integer(x0), Integer(x1))
new_compare110(x0, x1, True, x2, x3)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1, x2)
new_esEs32(x0, x1, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs6(Right(x0), Right(x1), x2, ty_@0)
new_compare15(x0, x1, True, x2, x3)
new_compare25(x0, x1, True, x2)
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs4(x0, x1, ty_Ordering)
new_primCompAux0(x0, LT)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs17(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs31(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs6(x0, x1, ty_Bool)
new_primPlusNat1(Succ(x0), Zero)
new_esEs34(x0, x1, ty_Double)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, False, x1)
new_lt19(x0, x1, ty_Float)
new_esEs18([], [], x0)
new_esEs19(Double(x0, x1), Double(x2, x3))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs7(x0, x1, ty_@0)
new_esEs16(Just(x0), Just(x1), ty_@0)
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_esEs17(Right(x0), Right(x1), x2, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_compare29(Float(x0, x1), Float(x2, x3))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(True, True)
new_ltEs18(x0, x1, ty_Char)
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(ty_[], x2))
new_esEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_@0)
new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt19(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, ty_Bool)
new_ltEs14(x0, x1)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_ltEs4(Just(x0), Just(x1), ty_Float)
new_esEs35(x0, x1, ty_Int)
new_esEs7(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Ordering)
new_esEs23(x0, x1)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_esEs4(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Double)
new_ltEs10(x0, x1, x2)
new_compare28(x0, x1, False, x2, x3)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(False, False)
new_esEs26(x0, x1, ty_Double)
new_compare17(True, True)
new_esEs29(x0, x1, ty_Char)
new_ltEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs12(LT, LT)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs7(GT, EQ)
new_ltEs7(EQ, GT)
new_ltEs16(x0, x1)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs35(x0, x1, ty_Bool)
new_lt19(x0, x1, ty_Bool)
new_primPlusNat1(Zero, Succ(x0))
new_ltEs7(GT, GT)
new_esEs8(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Bool)
new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_compare16(x0, x1, True)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_lt5(x0, x1, x2)
new_ltEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs29(x0, x1, ty_@0)

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: