YES 6.888 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 a => a  ->  a  ->  Bool) :: Ord a => a  ->  a  ->  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 => a  ->  a  ->  Bool) :: Ord a => a  ->  a  ->  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 => a  ->  a  ->  Bool) :: Ord a => a  ->  a  ->  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 => a  ->  a  ->  Bool) :: Ord a => a  ->  a  ->  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

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

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

compare3 x y = compare2 x y (x == y)

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

is transformed to
gcd' x 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

absReal0 x True = `negate` x

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

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False

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

is transformed to
reduce x y = reduce2 x y

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



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

mainModule Main
  (((>=) :: Ord a => a  ->  a  ->  Bool) :: Ord a => a  ->  a  ->  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
reduce2Reduce1 vwv vww x y True = error []
reduce2Reduce1 vwv vww x y False = reduce2Reduce0 vwv vww x y otherwise

reduce2D vwv vww = gcd vwv vww

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'0 x y = gcd0Gcd' y (x `rem` y)

gcd0Gcd'1 True x zx = x
gcd0Gcd'1 zy zz vuu = gcd0Gcd'0 zz vuu

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

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



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

mainModule Main
  (((>=) :: Ord a => a  ->  a  ->  Bool) :: Ord a => a  ->  a  ->  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 a => a  ->  a  ->  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(vwx32100), Succ(vwx40000)) → new_primPlusNat(vwx32100, vwx40000)

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(vwx3000), Succ(vwx4000)) → new_primMulNat(vwx3000, Succ(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
                                ↳ QDPSizeChangeProof
                              ↳ QDP
                              ↳ QDP

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

new_primCmpNat(Succ(vwx300), Succ(vwx400)) → new_primCmpNat(vwx300, vwx400)

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_esEs2(Left(vwx300), Left(vwx400), app(ty_[], bae), hg) → new_esEs(vwx300, vwx400, bae)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, app(ty_Maybe, ec), eb) → new_esEs1(vwx301, vwx401, ec)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, cd, app(app(ty_@2, dd), de)) → new_esEs3(vwx302, vwx402, dd, de)
new_esEs2(Left(vwx300), Left(vwx400), app(app(ty_@2, bac), bad), hg) → new_esEs3(vwx300, vwx400, bac, bad)
new_esEs2(Right(vwx300), Right(vwx400), baf, app(ty_[], bbg)) → new_esEs(vwx300, vwx400, bbg)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(app(ty_Either, ff), fg), cd, eb) → new_esEs2(vwx300, vwx400, ff, fg)
new_esEs1(Just(vwx300), Just(vwx400), app(app(app(ty_@3, gc), gd), ge)) → new_esEs0(vwx300, vwx400, gc, gd, ge)
new_esEs2(Right(vwx300), Right(vwx400), baf, app(app(app(ty_@3, bag), bah), bba)) → new_esEs0(vwx300, vwx400, bag, bah, bba)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), app(ty_[], bec), bde) → new_esEs(vwx300, vwx400, bec)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), app(app(app(ty_@3, bdb), bdc), bdd), bde) → new_esEs0(vwx300, vwx400, bdb, bdc, bdd)
new_esEs2(Left(vwx300), Left(vwx400), app(app(ty_Either, baa), bab), hg) → new_esEs2(vwx300, vwx400, baa, bab)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), app(ty_Maybe, bdf), bde) → new_esEs1(vwx300, vwx400, bdf)
new_esEs2(Right(vwx300), Right(vwx400), baf, app(app(ty_@2, bbe), bbf)) → new_esEs3(vwx300, vwx400, bbe, bbf)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, app(app(app(ty_@3, dg), dh), ea), eb) → new_esEs0(vwx301, vwx401, dg, dh, ea)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, cd, app(ty_[], df)) → new_esEs(vwx302, vwx402, df)
new_esEs2(Left(vwx300), Left(vwx400), app(ty_Maybe, hh), hg) → new_esEs1(vwx300, vwx400, hh)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, app(app(ty_@2, ef), eg), eb) → new_esEs3(vwx301, vwx401, ef, eg)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), bbh, app(ty_[], bda)) → new_esEs(vwx301, vwx401, bda)
new_esEs1(Just(vwx300), Just(vwx400), app(app(ty_Either, gg), gh)) → new_esEs2(vwx300, vwx400, gg, gh)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), bbh, app(app(ty_@2, bcg), bch)) → new_esEs3(vwx301, vwx401, bcg, bch)
new_esEs1(Just(vwx300), Just(vwx400), app(ty_[], hc)) → new_esEs(vwx300, vwx400, hc)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(app(ty_@2, fh), ga), cd, eb) → new_esEs3(vwx300, vwx400, fh, ga)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), bbh, app(ty_Maybe, bcd)) → new_esEs1(vwx301, vwx401, bcd)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(ty_[], gb), cd, eb) → new_esEs(vwx300, vwx400, gb)
new_esEs1(Just(vwx300), Just(vwx400), app(app(ty_@2, ha), hb)) → new_esEs3(vwx300, vwx400, ha, hb)
new_esEs(:(vwx300, vwx301), :(vwx400, vwx401), ba) → new_esEs(vwx301, vwx401, ba)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, cd, app(app(app(ty_@3, ce), cf), cg)) → new_esEs0(vwx302, vwx402, ce, cf, cg)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, cd, app(ty_Maybe, da)) → new_esEs1(vwx302, vwx402, da)
new_esEs(:(vwx300, vwx301), :(vwx400, vwx401), app(app(ty_Either, bf), bg)) → new_esEs2(vwx300, vwx400, bf, bg)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, app(ty_[], eh), eb) → new_esEs(vwx301, vwx401, eh)
new_esEs2(Right(vwx300), Right(vwx400), baf, app(app(ty_Either, bbc), bbd)) → new_esEs2(vwx300, vwx400, bbc, bbd)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), app(app(ty_@2, bea), beb), bde) → new_esEs3(vwx300, vwx400, bea, beb)
new_esEs1(Just(vwx300), Just(vwx400), app(ty_Maybe, gf)) → new_esEs1(vwx300, vwx400, gf)
new_esEs(:(vwx300, vwx301), :(vwx400, vwx401), app(app(app(ty_@3, bb), bc), bd)) → new_esEs0(vwx300, vwx400, bb, bc, bd)
new_esEs2(Right(vwx300), Right(vwx400), baf, app(ty_Maybe, bbb)) → new_esEs1(vwx300, vwx400, bbb)
new_esEs(:(vwx300, vwx301), :(vwx400, vwx401), app(app(ty_@2, bh), ca)) → new_esEs3(vwx300, vwx400, bh, ca)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), bbh, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs0(vwx301, vwx401, bca, bcb, bcc)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(ty_Maybe, fd), cd, eb) → new_esEs1(vwx300, vwx400, fd)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, cd, app(app(ty_Either, db), dc)) → new_esEs2(vwx302, vwx402, db, dc)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), bbh, app(app(ty_Either, bce), bcf)) → new_esEs2(vwx301, vwx401, bce, bcf)
new_esEs3(@2(vwx300, vwx301), @2(vwx400, vwx401), app(app(ty_Either, bdg), bdh), bde) → new_esEs2(vwx300, vwx400, bdg, bdh)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cc, app(app(ty_Either, ed), ee), eb) → new_esEs2(vwx301, vwx401, ed, ee)
new_esEs(:(vwx300, vwx301), :(vwx400, vwx401), app(ty_[], cb)) → new_esEs(vwx300, vwx400, cb)
new_esEs0(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), app(app(app(ty_@3, fa), fb), fc), cd, eb) → new_esEs0(vwx300, vwx400, fa, fb, fc)
new_esEs2(Left(vwx300), Left(vwx400), app(app(app(ty_@3, hd), he), hf), hg) → new_esEs0(vwx300, vwx400, hd, he, hf)
new_esEs(:(vwx300, vwx301), :(vwx400, vwx401), app(ty_Maybe, be)) → new_esEs1(vwx300, vwx400, be)

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

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



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

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

new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), app(ty_Maybe, hf), hg) → new_lt(vwx1720, vwx1730, hf)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), app(app(ty_@2, bad), bae), hg) → new_lt2(vwx1720, vwx1730, bad, bae)
new_compare20(Right(vwx1720), Right(vwx1730), False, app(app(ty_Either, bdd), app(app(app(ty_@3, bdg), bdh), bea))) → new_ltEs1(vwx1720, vwx1730, bdg, bdh, bea)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), app(ty_[], fd)), ea)) → new_lt0(vwx1721, vwx1731, fd)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, bah), app(ty_Maybe, bba))) → new_ltEs(vwx1721, vwx1731, bba)
new_ltEs3(Left(vwx1720), Left(vwx1730), app(app(ty_Either, bdb), bdc), bcc) → new_ltEs3(vwx1720, vwx1730, bdb, bdc)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, app(app(app(ty_@3, ff), fg), fh), ea) → new_lt1(vwx1721, vwx1731, ff, fg, fh)
new_compare20(Right(vwx1720), Right(vwx1730), False, app(app(ty_Either, bdd), app(app(ty_Either, bed), bee))) → new_ltEs3(vwx1720, vwx1730, bed, bee)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), dh), app(ty_Maybe, ge))) → new_ltEs(vwx1722, vwx1732, ge)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, cba, app(app(ty_@2, cbg), cbh)) → new_ltEs2(vwx242, vwx244, cbg, cbh)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, app(ty_Maybe, dg)), dh), ea)) → new_lt(vwx1720, vwx1730, dg)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), bah, app(ty_Maybe, bba)) → new_ltEs(vwx1721, vwx1731, bba)
new_compare23(vwx210, vwx211, False, app(ty_[], cea), cdh) → new_ltEs0(vwx210, vwx211, cea)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), dh), app(app(ty_Either, hd), he))) → new_ltEs3(vwx1722, vwx1732, hd, he)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, app(app(ty_Either, bgb), bgc), bff, bfg) → new_compare4(vwx228, vwx231, bgb, bgc)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), app(app(ty_Either, eh), fa), dh, ea) → new_lt3(vwx1720, vwx1730, eh, fa)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), app(ty_[], hh), hg) → new_lt0(vwx1720, vwx1730, hh)
new_compare20(Just(vwx1720), Just(vwx1730), False, app(ty_Maybe, app(app(ty_Either, bh), ca))) → new_ltEs3(vwx1720, vwx1730, bh, ca)
new_ltEs(Just(vwx1720), Just(vwx1730), app(ty_[], bb)) → new_ltEs0(vwx1720, vwx1730, bb)
new_compare23(vwx210, vwx211, False, app(app(app(ty_@3, ceb), cec), ced), cdh) → new_ltEs1(vwx210, vwx211, ceb, cec, ced)
new_compare24(vwx217, vwx218, False, cfa, app(ty_Maybe, cfb)) → new_ltEs(vwx217, vwx218, cfb)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, app(app(ty_@2, bhb), bhc), bfg) → new_lt2(vwx229, vwx232, bhb, bhc)
new_ltEs3(Left(vwx1720), Left(vwx1730), app(ty_Maybe, bcb), bcc) → new_ltEs(vwx1720, vwx1730, bcb)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), app(app(ty_@2, ga), gb)), ea)) → new_lt2(vwx1721, vwx1731, ga, gb)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, dh, app(app(ty_@2, hb), hc)) → new_ltEs2(vwx1722, vwx1732, hb, hc)
new_compare20(Right(vwx1720), Right(vwx1730), False, app(app(ty_Either, bdd), app(app(ty_@2, beb), bec))) → new_ltEs2(vwx1720, vwx1730, beb, bec)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, app(ty_[], eb)), dh), ea)) → new_lt0(vwx1720, vwx1730, eb)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, app(app(app(ty_@3, baa), bab), bac)), hg)) → new_lt1(vwx1720, vwx1730, baa, bab, bac)
new_compare20(Right(vwx1720), Right(vwx1730), False, app(app(ty_Either, bdd), app(ty_[], bdf))) → new_ltEs0(vwx1720, vwx1730, bdf)
new_ltEs(Just(vwx1720), Just(vwx1730), app(app(ty_Either, bh), ca)) → new_ltEs3(vwx1720, vwx1730, bh, ca)
new_primCompAux(vwx30, vwx40, vwx167, app(ty_[], ce)) → new_compare(vwx30, vwx40, ce)
new_compare20(Just(vwx1720), Just(vwx1730), False, app(ty_Maybe, app(app(ty_@2, bf), bg))) → new_ltEs2(vwx1720, vwx1730, bf, bg)
new_compare1(Just(vwx30), Just(vwx40), df) → new_compare20(vwx30, vwx40, new_esEs4(vwx30, vwx40, df), df)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, cba, app(ty_[], cbc)) → new_ltEs0(vwx242, vwx244, cbc)
new_lt0(vwx228, vwx231, beg) → new_compare(vwx228, vwx231, beg)
new_compare24(vwx217, vwx218, False, cfa, app(app(ty_Either, cga), cgb)) → new_ltEs3(vwx217, vwx218, cga, cgb)
new_compare20(vwx172, vwx173, False, app(ty_[], cb)) → new_compare(vwx172, vwx173, cb)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, app(app(ty_@2, cda), cdb), ccd) → new_lt2(vwx241, vwx243, cda, cdb)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, app(ty_[], beg), bff, bfg) → new_compare(vwx228, vwx231, beg)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, app(app(ty_Either, baf), bag)), hg)) → new_lt3(vwx1720, vwx1730, baf, bag)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), bah, app(ty_[], bbb)) → new_ltEs0(vwx1721, vwx1731, bbb)
new_compare20(Left(vwx1720), Left(vwx1730), False, app(app(ty_Either, app(app(ty_@2, bch), bda)), bcc)) → new_ltEs2(vwx1720, vwx1730, bch, bda)
new_ltEs3(Right(vwx1720), Right(vwx1730), bdd, app(app(ty_Either, bed), bee)) → new_ltEs3(vwx1720, vwx1730, bed, bee)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, app(ty_[], bgf), bfg) → new_lt0(vwx229, vwx232, bgf)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, bah), app(ty_[], bbb))) → new_ltEs0(vwx1721, vwx1731, bbb)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, bah), app(app(app(ty_@3, bbc), bbd), bbe))) → new_ltEs1(vwx1721, vwx1731, bbc, bbd, bbe)
new_lt2(vwx228, vwx231, bfh, bga) → new_compare3(vwx228, vwx231, bfh, bga)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, app(app(app(ty_@3, bgg), bgh), bha), bfg) → new_lt1(vwx229, vwx232, bgg, bgh, bha)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, bff, app(app(ty_@2, cac), cad)) → new_ltEs2(vwx230, vwx233, cac, cad)
new_ltEs3(Right(vwx1720), Right(vwx1730), bdd, app(ty_[], bdf)) → new_ltEs0(vwx1720, vwx1730, bdf)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), dh), app(app(app(ty_@3, gg), gh), ha))) → new_ltEs1(vwx1722, vwx1732, gg, gh, ha)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, app(ty_[], hh)), hg)) → new_lt0(vwx1720, vwx1730, hh)
new_compare23(vwx210, vwx211, False, app(app(ty_Either, ceg), ceh), cdh) → new_ltEs3(vwx210, vwx211, ceg, ceh)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), bah, app(app(app(ty_@3, bbc), bbd), bbe)) → new_ltEs1(vwx1721, vwx1731, bbc, bbd, bbe)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, app(ty_Maybe, fc), ea) → new_lt(vwx1721, vwx1731, fc)
new_lt1(vwx228, vwx231, beh, bfa, bfb) → new_compare2(vwx228, vwx231, beh, bfa, bfb)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, app(app(ty_Either, gc), gd), ea) → new_lt3(vwx1721, vwx1731, gc, gd)
new_primCompAux(vwx30, vwx40, vwx167, app(ty_Maybe, cd)) → new_compare1(vwx30, vwx40, cd)
new_compare3(@2(vwx30, vwx31), @2(vwx40, vwx41), cag, cah) → new_compare22(vwx30, vwx31, vwx40, vwx41, new_asAs(new_esEs9(vwx30, vwx40, cag), new_esEs8(vwx31, vwx41, cah)), cag, cah)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, dh, app(app(app(ty_@3, gg), gh), ha)) → new_ltEs1(vwx1722, vwx1732, gg, gh, ha)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, app(app(ty_Either, eh), fa)), dh), ea)) → new_lt3(vwx1720, vwx1730, eh, fa)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, app(app(ty_Either, bhd), bhe), bfg) → new_lt3(vwx229, vwx232, bhd, bhe)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), app(app(app(ty_@3, baa), bab), bac), hg) → new_lt1(vwx1720, vwx1730, baa, bab, bac)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, app(ty_Maybe, ccc), ccd) → new_lt(vwx241, vwx243, ccc)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, cba, app(app(ty_Either, cca), ccb)) → new_ltEs3(vwx242, vwx244, cca, ccb)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), bah, app(app(ty_Either, bbh), bca)) → new_ltEs3(vwx1721, vwx1731, bbh, bca)
new_compare23(vwx210, vwx211, False, app(ty_Maybe, cdg), cdh) → new_ltEs(vwx210, vwx211, cdg)
new_lt3(vwx228, vwx231, bgb, bgc) → new_compare4(vwx228, vwx231, bgb, bgc)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), dh), app(ty_[], gf))) → new_ltEs0(vwx1722, vwx1732, gf)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, app(ty_Maybe, bef), bff, bfg) → new_compare1(vwx228, vwx231, bef)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), dh), app(app(ty_@2, hb), hc))) → new_ltEs2(vwx1722, vwx1732, hb, hc)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), app(ty_Maybe, fc)), ea)) → new_lt(vwx1721, vwx1731, fc)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, bah), app(app(ty_@2, bbf), bbg))) → new_ltEs2(vwx1721, vwx1731, bbf, bbg)
new_compare20(Left(vwx1720), Left(vwx1730), False, app(app(ty_Either, app(app(ty_Either, bdb), bdc)), bcc)) → new_ltEs3(vwx1720, vwx1730, bdb, bdc)
new_ltEs0(vwx172, vwx173, cb) → new_compare(vwx172, vwx173, cb)
new_compare24(vwx217, vwx218, False, cfa, app(app(ty_@2, cfg), cfh)) → new_ltEs2(vwx217, vwx218, cfg, cfh)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), app(ty_[], eb), dh, ea) → new_lt0(vwx1720, vwx1730, eb)
new_ltEs3(Right(vwx1720), Right(vwx1730), bdd, app(app(app(ty_@3, bdg), bdh), bea)) → new_ltEs1(vwx1720, vwx1730, bdg, bdh, bea)
new_compare4(Right(vwx30), Right(vwx40), cde, cdf) → new_compare24(vwx30, vwx40, new_esEs11(vwx30, vwx40, cdf), cde, cdf)
new_primCompAux(vwx30, vwx40, vwx167, app(app(ty_@2, db), dc)) → new_compare3(vwx30, vwx40, db, dc)
new_ltEs3(Left(vwx1720), Left(vwx1730), app(ty_[], bcd), bcc) → new_ltEs0(vwx1720, vwx1730, bcd)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, bff, app(ty_Maybe, bhf)) → new_ltEs(vwx230, vwx233, bhf)
new_compare20(Right(vwx1720), Right(vwx1730), False, app(app(ty_Either, bdd), app(ty_Maybe, bde))) → new_ltEs(vwx1720, vwx1730, bde)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, bff, app(app(app(ty_@3, bhh), caa), cab)) → new_ltEs1(vwx230, vwx233, bhh, caa, cab)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, cba, app(app(app(ty_@3, cbd), cbe), cbf)) → new_ltEs1(vwx242, vwx244, cbd, cbe, cbf)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), app(ty_Maybe, dg), dh, ea) → new_lt(vwx1720, vwx1730, dg)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, app(app(app(ty_@3, beh), bfa), bfb), bff, bfg) → new_compare2(vwx228, vwx231, beh, bfa, bfb)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, app(app(ty_@2, bfh), bga), bff, bfg) → new_compare3(vwx228, vwx231, bfh, bga)
new_compare2(@3(vwx30, vwx31, vwx32), @3(vwx40, vwx41, vwx42), bfc, bfd, bfe) → new_compare21(vwx30, vwx31, vwx32, vwx40, vwx41, vwx42, new_asAs(new_esEs7(vwx30, vwx40, bfc), new_asAs(new_esEs6(vwx31, vwx41, bfd), new_esEs5(vwx32, vwx42, bfe))), bfc, bfd, bfe)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), app(app(ty_Either, baf), bag), hg) → new_lt3(vwx1720, vwx1730, baf, bag)
new_ltEs(Just(vwx1720), Just(vwx1730), app(app(app(ty_@3, bc), bd), be)) → new_ltEs1(vwx1720, vwx1730, bc, bd, be)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, app(app(app(ty_@3, ccf), ccg), cch), ccd) → new_lt1(vwx241, vwx243, ccf, ccg, cch)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, app(ty_[], fd), ea) → new_lt0(vwx1721, vwx1731, fd)
new_ltEs(Just(vwx1720), Just(vwx1730), app(ty_Maybe, ba)) → new_ltEs(vwx1720, vwx1730, ba)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, app(app(ty_@2, ga), gb), ea) → new_lt2(vwx1721, vwx1731, ga, gb)
new_ltEs3(Right(vwx1720), Right(vwx1730), bdd, app(app(ty_@2, beb), bec)) → new_ltEs2(vwx1720, vwx1730, beb, bec)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, app(ty_Maybe, bge), bfg) → new_lt(vwx229, vwx232, bge)
new_ltEs(Just(vwx1720), Just(vwx1730), app(app(ty_@2, bf), bg)) → new_ltEs2(vwx1720, vwx1730, bf, bg)
new_compare24(vwx217, vwx218, False, cfa, app(app(app(ty_@3, cfd), cfe), cff)) → new_ltEs1(vwx217, vwx218, cfd, cfe, cff)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, dh, app(app(ty_Either, hd), he)) → new_ltEs3(vwx1722, vwx1732, hd, he)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, app(app(ty_@2, ef), eg)), dh), ea)) → new_lt2(vwx1720, vwx1730, ef, eg)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), app(app(ty_Either, gc), gd)), ea)) → new_lt3(vwx1721, vwx1731, gc, gd)
new_primCompAux(vwx30, vwx40, vwx167, app(app(ty_Either, dd), de)) → new_compare4(vwx30, vwx40, dd, de)
new_ltEs3(Left(vwx1720), Left(vwx1730), app(app(app(ty_@3, bce), bcf), bcg), bcc) → new_ltEs1(vwx1720, vwx1730, bce, bcf, bcg)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, fb), app(app(app(ty_@3, ff), fg), fh)), ea)) → new_lt1(vwx1721, vwx1731, ff, fg, fh)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, bah), app(app(ty_Either, bbh), bca))) → new_ltEs3(vwx1721, vwx1731, bbh, bca)
new_ltEs3(Left(vwx1720), Left(vwx1730), app(app(ty_@2, bch), bda), bcc) → new_ltEs2(vwx1720, vwx1730, bch, bda)
new_compare20(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), False, app(app(app(ty_@3, app(app(app(ty_@3, ec), ed), ee)), dh), ea)) → new_lt1(vwx1720, vwx1730, ec, ed, ee)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, bff, app(app(ty_Either, cae), caf)) → new_ltEs3(vwx230, vwx233, cae, caf)
new_ltEs2(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), bah, app(app(ty_@2, bbf), bbg)) → new_ltEs2(vwx1721, vwx1731, bbf, bbg)
new_compare20(Left(vwx1720), Left(vwx1730), False, app(app(ty_Either, app(ty_[], bcd)), bcc)) → new_ltEs0(vwx1720, vwx1730, bcd)
new_compare(:(vwx30, vwx31), :(vwx40, vwx41), cc) → new_compare(vwx31, vwx41, cc)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, app(app(ty_@2, bad), bae)), hg)) → new_lt2(vwx1720, vwx1730, bad, bae)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, dh, app(ty_Maybe, ge)) → new_ltEs(vwx1722, vwx1732, ge)
new_compare(:(vwx30, vwx31), :(vwx40, vwx41), cc) → new_primCompAux(vwx30, vwx40, new_compare0(vwx31, vwx41, cc), cc)
new_compare4(Left(vwx30), Left(vwx40), cde, cdf) → new_compare23(vwx30, vwx40, new_esEs10(vwx30, vwx40, cde), cde, cdf)
new_compare20(Just(vwx1720), Just(vwx1730), False, app(ty_Maybe, app(ty_[], bb))) → new_ltEs0(vwx1720, vwx1730, bb)
new_compare20(Just(vwx1720), Just(vwx1730), False, app(ty_Maybe, app(ty_Maybe, ba))) → new_ltEs(vwx1720, vwx1730, ba)
new_compare21(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, bff, app(ty_[], bhg)) → new_ltEs0(vwx230, vwx233, bhg)
new_compare20(Left(vwx1720), Left(vwx1730), False, app(app(ty_Either, app(ty_Maybe, bcb)), bcc)) → new_ltEs(vwx1720, vwx1730, bcb)
new_ltEs3(Right(vwx1720), Right(vwx1730), bdd, app(ty_Maybe, bde)) → new_ltEs(vwx1720, vwx1730, bde)
new_compare20(Left(vwx1720), Left(vwx1730), False, app(app(ty_Either, app(app(app(ty_@3, bce), bcf), bcg)), bcc)) → new_ltEs1(vwx1720, vwx1730, bce, bcf, bcg)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, app(app(ty_Either, cdc), cdd), ccd) → new_lt3(vwx241, vwx243, cdc, cdd)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, dh, app(ty_[], gf)) → new_ltEs0(vwx1722, vwx1732, gf)
new_compare20(Just(vwx1720), Just(vwx1730), False, app(ty_Maybe, app(app(app(ty_@3, bc), bd), be))) → new_ltEs1(vwx1720, vwx1730, bc, bd, be)
new_primCompAux(vwx30, vwx40, vwx167, app(app(app(ty_@3, cf), cg), da)) → new_compare2(vwx30, vwx40, cf, cg, da)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, app(ty_[], cce), ccd) → new_lt0(vwx241, vwx243, cce)
new_lt(vwx228, vwx231, bef) → new_compare1(vwx228, vwx231, bef)
new_compare22(vwx241, vwx242, vwx243, vwx244, False, cba, app(ty_Maybe, cbb)) → new_ltEs(vwx242, vwx244, cbb)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), app(app(ty_@2, ef), eg), dh, ea) → new_lt2(vwx1720, vwx1730, ef, eg)
new_compare23(vwx210, vwx211, False, app(app(ty_@2, cee), cef), cdh) → new_ltEs2(vwx210, vwx211, cee, cef)
new_compare24(vwx217, vwx218, False, cfa, app(ty_[], cfc)) → new_ltEs0(vwx217, vwx218, cfc)
new_ltEs1(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), app(app(app(ty_@3, ec), ed), ee), dh, ea) → new_lt1(vwx1720, vwx1730, ec, ed, ee)
new_compare20(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), False, app(app(ty_@2, app(ty_Maybe, hf)), hg)) → new_lt(vwx1720, vwx1730, hf)

The TRS R consists of the following rules:

new_compare7(@2(vwx30, vwx31), @2(vwx40, vwx41), cag, cah) → new_compare27(vwx30, vwx31, vwx40, vwx41, new_asAs(new_esEs9(vwx30, vwx40, cag), new_esEs8(vwx31, vwx41, cah)), cag, cah)
new_lt5(vwx229, vwx232, ty_Double) → new_lt18(vwx229, vwx232)
new_lt22(vwx1721, vwx1731, app(ty_Maybe, fc)) → new_lt6(vwx1721, vwx1731, fc)
new_ltEs23(vwx242, vwx244, ty_Int) → new_ltEs4(vwx242, vwx244)
new_esEs7(vwx30, vwx40, ty_Integer) → new_esEs22(vwx30, vwx40)
new_esEs39(vwx241, vwx243, ty_Ordering) → new_esEs19(vwx241, vwx243)
new_ltEs22(vwx217, vwx218, app(app(ty_@2, cfg), cfh)) → new_ltEs12(vwx217, vwx218, cfg, cfh)
new_esEs15(Right(vwx300), Right(vwx400), cgg, ty_Int) → new_esEs24(vwx300, vwx400)
new_esEs15(Left(vwx300), Left(vwx400), ty_Bool, cgh) → new_esEs17(vwx300, vwx400)
new_esEs30(vwx1720, vwx1730, ty_Integer) → new_esEs22(vwx1720, vwx1730)
new_esEs13(Double(vwx300, vwx301), Double(vwx400, vwx401)) → new_esEs24(new_sr(vwx300, vwx400), new_sr(vwx301, vwx401))
new_esEs36(vwx302, vwx402, app(ty_Ratio, fdh)) → new_esEs20(vwx302, vwx402, fdh)
new_compare31(:%(vwx30, vwx31), :%(vwx40, vwx41), ty_Int) → new_compare5(new_sr(vwx30, vwx41), new_sr(vwx40, vwx31))
new_esEs15(Right(vwx300), Left(vwx400), cgg, cgh) → False
new_esEs15(Left(vwx300), Right(vwx400), cgg, cgh) → False
new_ltEs21(vwx210, vwx211, app(ty_[], cea)) → new_ltEs9(vwx210, vwx211, cea)
new_compare10(vwx293, vwx294, vwx295, vwx296, vwx297, vwx298, True, vwx300, dfg, dfh, dga) → new_compare14(vwx293, vwx294, vwx295, vwx296, vwx297, vwx298, True, dfg, dfh, dga)
new_esEs15(Right(vwx300), Right(vwx400), cgg, ty_Bool) → new_esEs17(vwx300, vwx400)
new_ltEs19(vwx1721, vwx1731, app(ty_[], bbb)) → new_ltEs9(vwx1721, vwx1731, bbb)
new_compare34(vwx30, vwx40, app(app(app(ty_@3, cf), cg), da)) → new_compare29(vwx30, vwx40, cf, cg, da)
new_esEs36(vwx302, vwx402, ty_Double) → new_esEs13(vwx302, vwx402)
new_esEs15(Left(vwx300), Left(vwx400), app(ty_Maybe, dge), cgh) → new_esEs14(vwx300, vwx400, dge)
new_ltEs20(vwx1722, vwx1732, ty_Int) → new_ltEs4(vwx1722, vwx1732)
new_primCompAux0(vwx30, vwx40, vwx167, cc) → new_primCompAux00(vwx167, new_compare34(vwx30, vwx40, cc))
new_ltEs21(vwx210, vwx211, app(ty_Ratio, eeb)) → new_ltEs18(vwx210, vwx211, eeb)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, ty_Char) → new_ltEs16(vwx1720, vwx1730)
new_ltEs20(vwx1722, vwx1732, ty_@0) → new_ltEs8(vwx1722, vwx1732)
new_lt14(vwx228, vwx231, bgb, bgc) → new_esEs19(new_compare6(vwx228, vwx231, bgb, bgc), LT)
new_lt20(vwx1720, vwx1730, app(app(ty_Either, baf), bag)) → new_lt14(vwx1720, vwx1730, baf, bag)
new_esEs18(:(vwx300, vwx301), :(vwx400, vwx401), chc) → new_asAs(new_esEs35(vwx300, vwx400, chc), new_esEs18(vwx301, vwx401, chc))
new_esEs33(vwx301, vwx401, app(app(ty_@2, efa), efb)) → new_esEs16(vwx301, vwx401, efa, efb)
new_compare31(:%(vwx30, vwx31), :%(vwx40, vwx41), ty_Integer) → new_compare32(new_sr0(vwx30, vwx41), new_sr0(vwx40, vwx31))
new_lt18(vwx228, vwx231) → new_esEs19(new_compare9(vwx228, vwx231), LT)
new_esEs7(vwx30, vwx40, ty_Double) → new_esEs13(vwx30, vwx40)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, ty_Double) → new_ltEs17(vwx1720, vwx1730)
new_esEs34(vwx300, vwx400, app(ty_Ratio, egf)) → new_esEs20(vwx300, vwx400, egf)
new_esEs15(Left(vwx300), Left(vwx400), app(app(ty_Either, dgf), dgg), cgh) → new_esEs15(vwx300, vwx400, dgf, dgg)
new_esEs28(vwx229, vwx232, ty_Float) → new_esEs21(vwx229, vwx232)
new_ltEs20(vwx1722, vwx1732, ty_Bool) → new_ltEs5(vwx1722, vwx1732)
new_esEs29(vwx228, vwx231, app(ty_Ratio, dee)) → new_esEs20(vwx228, vwx231, dee)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs14(Left(vwx1720), Left(vwx1730), ty_Char, bcc) → new_ltEs16(vwx1720, vwx1730)
new_ltEs14(Left(vwx1720), Left(vwx1730), app(ty_Ratio, dfb), bcc) → new_ltEs18(vwx1720, vwx1730, dfb)
new_lt23(vwx241, vwx243, app(ty_Ratio, fgf)) → new_lt19(vwx241, vwx243, fgf)
new_lt20(vwx1720, vwx1730, ty_@0) → new_lt7(vwx1720, vwx1730)
new_lt21(vwx1720, vwx1730, ty_@0) → new_lt7(vwx1720, vwx1730)
new_ltEs6(vwx230, vwx233, app(app(ty_Either, cae), caf)) → new_ltEs14(vwx230, vwx233, cae, caf)
new_esEs37(vwx301, vwx401, app(ty_[], ffa)) → new_esEs18(vwx301, vwx401, ffa)
new_ltEs22(vwx217, vwx218, ty_Int) → new_ltEs4(vwx217, vwx218)
new_esEs4(vwx30, vwx40, ty_Ordering) → new_esEs19(vwx30, vwx40)
new_esEs14(Just(vwx300), Just(vwx400), ty_Bool) → new_esEs17(vwx300, vwx400)
new_esEs8(vwx31, vwx41, app(ty_Ratio, ddb)) → new_esEs20(vwx31, vwx41, ddb)
new_lt21(vwx1720, vwx1730, ty_Float) → new_lt15(vwx1720, vwx1730)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, ty_Bool) → new_ltEs5(vwx1720, vwx1730)
new_ltEs24(vwx172, vwx173, ty_Char) → new_ltEs16(vwx172, vwx173)
new_esEs22(Integer(vwx300), Integer(vwx400)) → new_primEqInt(vwx300, vwx400)
new_ltEs22(vwx217, vwx218, ty_Float) → new_ltEs15(vwx217, vwx218)
new_esEs15(Right(vwx300), Right(vwx400), cgg, ty_@0) → new_esEs25(vwx300, vwx400)
new_esEs28(vwx229, vwx232, app(ty_Maybe, bge)) → new_esEs14(vwx229, vwx232, bge)
new_lt22(vwx1721, vwx1731, ty_Float) → new_lt15(vwx1721, vwx1731)
new_lt5(vwx229, vwx232, ty_Bool) → new_lt17(vwx229, vwx232)
new_esEs28(vwx229, vwx232, ty_@0) → new_esEs25(vwx229, vwx232)
new_esEs35(vwx300, vwx400, app(ty_Maybe, fbf)) → new_esEs14(vwx300, vwx400, fbf)
new_esEs37(vwx301, vwx401, app(ty_Maybe, fed)) → new_esEs14(vwx301, vwx401, fed)
new_esEs34(vwx300, vwx400, ty_Double) → new_esEs13(vwx300, vwx400)
new_compare34(vwx30, vwx40, app(ty_[], ce)) → new_compare0(vwx30, vwx40, ce)
new_esEs15(Right(vwx300), Right(vwx400), cgg, app(ty_Ratio, eae)) → new_esEs20(vwx300, vwx400, eae)
new_esEs29(vwx228, vwx231, ty_Integer) → new_esEs22(vwx228, vwx231)
new_esEs38(vwx300, vwx400, ty_Bool) → new_esEs17(vwx300, vwx400)
new_esEs31(vwx1721, vwx1731, ty_Integer) → new_esEs22(vwx1721, vwx1731)
new_esEs35(vwx300, vwx400, ty_Float) → new_esEs21(vwx300, vwx400)
new_esEs31(vwx1721, vwx1731, app(ty_Maybe, fc)) → new_esEs14(vwx1721, vwx1731, fc)
new_compare16(@0, @0) → EQ
new_lt5(vwx229, vwx232, ty_Ordering) → new_lt13(vwx229, vwx232)
new_esEs35(vwx300, vwx400, app(app(ty_@2, fca), fcb)) → new_esEs16(vwx300, vwx400, fca, fcb)
new_esEs39(vwx241, vwx243, app(app(ty_Either, cdc), cdd)) → new_esEs15(vwx241, vwx243, cdc, cdd)
new_esEs15(Left(vwx300), Left(vwx400), app(app(ty_@2, dgh), dha), cgh) → new_esEs16(vwx300, vwx400, dgh, dha)
new_esEs35(vwx300, vwx400, ty_Int) → new_esEs24(vwx300, vwx400)
new_ltEs7(Just(vwx1720), Just(vwx1730), ty_Bool) → new_ltEs5(vwx1720, vwx1730)
new_esEs14(Just(vwx300), Just(vwx400), ty_Float) → new_esEs21(vwx300, vwx400)
new_compare32(Integer(vwx30), Integer(vwx40)) → new_primCmpInt(vwx30, vwx40)
new_esEs17(True, True) → True
new_esEs5(vwx32, vwx42, ty_Integer) → new_esEs22(vwx32, vwx42)
new_lt21(vwx1720, vwx1730, ty_Char) → new_lt16(vwx1720, vwx1730)
new_esEs6(vwx31, vwx41, ty_Int) → new_esEs24(vwx31, vwx41)
new_esEs36(vwx302, vwx402, ty_Char) → new_esEs23(vwx302, vwx402)
new_esEs6(vwx31, vwx41, ty_Ordering) → new_esEs19(vwx31, vwx41)
new_esEs32(vwx1720, vwx1730, app(app(ty_@2, ef), eg)) → new_esEs16(vwx1720, vwx1730, ef, eg)
new_esEs31(vwx1721, vwx1731, ty_@0) → new_esEs25(vwx1721, vwx1731)
new_ltEs13(LT, EQ) → True
new_ltEs20(vwx1722, vwx1732, app(ty_[], gf)) → new_ltEs9(vwx1722, vwx1732, gf)
new_ltEs20(vwx1722, vwx1732, app(app(ty_@2, hb), hc)) → new_ltEs12(vwx1722, vwx1732, hb, hc)
new_compare18(GT, EQ) → GT
new_compare0(:(vwx30, vwx31), :(vwx40, vwx41), cc) → new_primCompAux0(vwx30, vwx40, new_compare0(vwx31, vwx41, cc), cc)
new_esEs32(vwx1720, vwx1730, app(ty_[], eb)) → new_esEs18(vwx1720, vwx1730, eb)
new_esEs32(vwx1720, vwx1730, ty_Ordering) → new_esEs19(vwx1720, vwx1730)
new_lt22(vwx1721, vwx1731, app(app(ty_Either, gc), gd)) → new_lt14(vwx1721, vwx1731, gc, gd)
new_ltEs14(Left(vwx1720), Left(vwx1730), app(app(ty_@2, bch), bda), bcc) → new_ltEs12(vwx1720, vwx1730, bch, bda)
new_esEs14(Just(vwx300), Just(vwx400), app(ty_[], ebh)) → new_esEs18(vwx300, vwx400, ebh)
new_compare25(vwx210, vwx211, False, eea, cdh) → new_compare19(vwx210, vwx211, new_ltEs21(vwx210, vwx211, eea), eea, cdh)
new_esEs15(Right(vwx300), Right(vwx400), cgg, app(ty_[], ead)) → new_esEs18(vwx300, vwx400, ead)
new_esEs4(vwx30, vwx40, ty_Float) → new_esEs21(vwx30, vwx40)
new_esEs30(vwx1720, vwx1730, ty_Ordering) → new_esEs19(vwx1720, vwx1730)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, ty_Integer) → new_ltEs11(vwx1720, vwx1730)
new_ltEs24(vwx172, vwx173, app(app(ty_@2, bah), hg)) → new_ltEs12(vwx172, vwx173, bah, hg)
new_compare6(Right(vwx30), Right(vwx40), cde, cdf) → new_compare26(vwx30, vwx40, new_esEs11(vwx30, vwx40, cdf), cde, cdf)
new_esEs5(vwx32, vwx42, app(ty_[], ehg)) → new_esEs18(vwx32, vwx42, ehg)
new_lt23(vwx241, vwx243, ty_Double) → new_lt18(vwx241, vwx243)
new_esEs8(vwx31, vwx41, ty_Double) → new_esEs13(vwx31, vwx41)
new_esEs11(vwx30, vwx40, app(app(ty_Either, dbc), dbd)) → new_esEs15(vwx30, vwx40, dbc, dbd)
new_esEs6(vwx31, vwx41, app(app(app(ty_@3, faa), fab), fac)) → new_esEs12(vwx31, vwx41, faa, fab, fac)
new_esEs33(vwx301, vwx401, ty_Float) → new_esEs21(vwx301, vwx401)
new_esEs9(vwx30, vwx40, app(ty_Maybe, ddf)) → new_esEs14(vwx30, vwx40, ddf)
new_esEs11(vwx30, vwx40, app(ty_Ratio, dbh)) → new_esEs20(vwx30, vwx40, dbh)
new_esEs30(vwx1720, vwx1730, ty_Double) → new_esEs13(vwx1720, vwx1730)
new_esEs31(vwx1721, vwx1731, app(app(app(ty_@3, ff), fg), fh)) → new_esEs12(vwx1721, vwx1731, ff, fg, fh)
new_esEs33(vwx301, vwx401, ty_Bool) → new_esEs17(vwx301, vwx401)
new_lt4(vwx228, vwx231, app(ty_Maybe, bef)) → new_lt6(vwx228, vwx231, bef)
new_ltEs21(vwx210, vwx211, app(app(ty_@2, cee), cef)) → new_ltEs12(vwx210, vwx211, cee, cef)
new_esEs4(vwx30, vwx40, app(app(ty_Either, cgg), cgh)) → new_esEs15(vwx30, vwx40, cgg, cgh)
new_esEs28(vwx229, vwx232, ty_Ordering) → new_esEs19(vwx229, vwx232)
new_compare27(vwx241, vwx242, vwx243, vwx244, True, cba, ccd) → EQ
new_lt22(vwx1721, vwx1731, ty_@0) → new_lt7(vwx1721, vwx1731)
new_ltEs23(vwx242, vwx244, ty_@0) → new_ltEs8(vwx242, vwx244)
new_ltEs24(vwx172, vwx173, app(ty_Maybe, dfe)) → new_ltEs7(vwx172, vwx173, dfe)
new_ltEs16(vwx172, vwx173) → new_fsEs(new_compare8(vwx172, vwx173))
new_esEs9(vwx30, vwx40, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs12(vwx30, vwx40, ddc, ddd, dde)
new_compare6(Left(vwx30), Right(vwx40), cde, cdf) → LT
new_lt21(vwx1720, vwx1730, app(app(ty_@2, ef), eg)) → new_lt12(vwx1720, vwx1730, ef, eg)
new_compare18(EQ, EQ) → EQ
new_esEs7(vwx30, vwx40, ty_Int) → new_esEs24(vwx30, vwx40)
new_esEs9(vwx30, vwx40, app(ty_[], dec)) → new_esEs18(vwx30, vwx40, dec)
new_esEs28(vwx229, vwx232, app(app(ty_@2, bhb), bhc)) → new_esEs16(vwx229, vwx232, bhb, bhc)
new_esEs38(vwx300, vwx400, ty_Ordering) → new_esEs19(vwx300, vwx400)
new_compare34(vwx30, vwx40, ty_@0) → new_compare16(vwx30, vwx40)
new_esEs10(vwx30, vwx40, app(app(app(ty_@3, che), chf), chg)) → new_esEs12(vwx30, vwx40, che, chf, chg)
new_esEs10(vwx30, vwx40, app(ty_Ratio, daf)) → new_esEs20(vwx30, vwx40, daf)
new_esEs28(vwx229, vwx232, ty_Char) → new_esEs23(vwx229, vwx232)
new_pePe(False, vwx320) → vwx320
new_esEs15(Right(vwx300), Right(vwx400), cgg, ty_Ordering) → new_esEs19(vwx300, vwx400)
new_esEs19(GT, GT) → True
new_esEs36(vwx302, vwx402, app(app(ty_Either, fdc), fdd)) → new_esEs15(vwx302, vwx402, fdc, fdd)
new_lt23(vwx241, vwx243, ty_Integer) → new_lt11(vwx241, vwx243)
new_ltEs24(vwx172, vwx173, ty_Bool) → new_ltEs5(vwx172, vwx173)
new_esEs18(:(vwx300, vwx301), [], chc) → False
new_esEs18([], :(vwx400, vwx401), chc) → False
new_compare210(vwx172, vwx173, False, fgh) → new_compare13(vwx172, vwx173, new_ltEs24(vwx172, vwx173, fgh), fgh)
new_esEs36(vwx302, vwx402, app(ty_[], fdg)) → new_esEs18(vwx302, vwx402, fdg)
new_esEs9(vwx30, vwx40, app(app(ty_Either, ddg), ddh)) → new_esEs15(vwx30, vwx40, ddg, ddh)
new_esEs29(vwx228, vwx231, app(ty_Maybe, bef)) → new_esEs14(vwx228, vwx231, bef)
new_compare14(vwx293, vwx294, vwx295, vwx296, vwx297, vwx298, False, dfg, dfh, dga) → GT
new_compare11(vwx308, vwx309, vwx310, vwx311, True, vwx313, deh, dfa) → new_compare12(vwx308, vwx309, vwx310, vwx311, True, deh, dfa)
new_ltEs7(Just(vwx1720), Just(vwx1730), ty_Char) → new_ltEs16(vwx1720, vwx1730)
new_ltEs6(vwx230, vwx233, ty_Float) → new_ltEs15(vwx230, vwx233)
new_compare12(vwx308, vwx309, vwx310, vwx311, False, deh, dfa) → GT
new_esEs6(vwx31, vwx41, ty_Char) → new_esEs23(vwx31, vwx41)
new_ltEs7(Just(vwx1720), Just(vwx1730), ty_Int) → new_ltEs4(vwx1720, vwx1730)
new_esEs29(vwx228, vwx231, app(app(ty_@2, bfh), bga)) → new_esEs16(vwx228, vwx231, bfh, bga)
new_ltEs23(vwx242, vwx244, app(app(ty_Either, cca), ccb)) → new_ltEs14(vwx242, vwx244, cca, ccb)
new_esEs37(vwx301, vwx401, ty_Float) → new_esEs21(vwx301, vwx401)
new_lt20(vwx1720, vwx1730, app(app(app(ty_@3, baa), bab), bac)) → new_lt10(vwx1720, vwx1730, baa, bab, bac)
new_esEs6(vwx31, vwx41, app(ty_[], fba)) → new_esEs18(vwx31, vwx41, fba)
new_esEs14(Just(vwx300), Just(vwx400), app(ty_Ratio, eca)) → new_esEs20(vwx300, vwx400, eca)
new_lt5(vwx229, vwx232, app(app(app(ty_@3, bgg), bgh), bha)) → new_lt10(vwx229, vwx232, bgg, bgh, bha)
new_esEs15(Left(vwx300), Left(vwx400), ty_Ordering, cgh) → new_esEs19(vwx300, vwx400)
new_esEs38(vwx300, vwx400, app(ty_Ratio, fgd)) → new_esEs20(vwx300, vwx400, fgd)
new_ltEs13(EQ, GT) → True
new_esEs36(vwx302, vwx402, ty_Bool) → new_esEs17(vwx302, vwx402)
new_esEs31(vwx1721, vwx1731, ty_Double) → new_esEs13(vwx1721, vwx1731)
new_ltEs7(Just(vwx1720), Just(vwx1730), ty_Ordering) → new_ltEs13(vwx1720, vwx1730)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, app(app(app(ty_@3, bdg), bdh), bea)) → new_ltEs10(vwx1720, vwx1730, bdg, bdh, bea)
new_ltEs19(vwx1721, vwx1731, app(ty_Ratio, ecc)) → new_ltEs18(vwx1721, vwx1731, ecc)
new_lt23(vwx241, vwx243, app(app(ty_@2, cda), cdb)) → new_lt12(vwx241, vwx243, cda, cdb)
new_compare33(Just(vwx30), Just(vwx40), df) → new_compare210(vwx30, vwx40, new_esEs4(vwx30, vwx40, df), df)
new_ltEs6(vwx230, vwx233, app(app(app(ty_@3, bhh), caa), cab)) → new_ltEs10(vwx230, vwx233, bhh, caa, cab)
new_ltEs19(vwx1721, vwx1731, ty_Double) → new_ltEs17(vwx1721, vwx1731)
new_esEs11(vwx30, vwx40, ty_Float) → new_esEs21(vwx30, vwx40)
new_esEs38(vwx300, vwx400, ty_Float) → new_esEs21(vwx300, vwx400)
new_esEs34(vwx300, vwx400, ty_Integer) → new_esEs22(vwx300, vwx400)
new_compare18(GT, GT) → EQ
new_primCmpNat0(Zero, Succ(vwx400)) → LT
new_ltEs8(vwx172, vwx173) → new_fsEs(new_compare16(vwx172, vwx173))
new_ltEs7(Just(vwx1720), Just(vwx1730), ty_Double) → new_ltEs17(vwx1720, vwx1730)
new_ltEs14(Left(vwx1720), Left(vwx1730), ty_Float, bcc) → new_ltEs15(vwx1720, vwx1730)
new_lt5(vwx229, vwx232, ty_Float) → new_lt15(vwx229, vwx232)
new_ltEs19(vwx1721, vwx1731, ty_Float) → new_ltEs15(vwx1721, vwx1731)
new_ltEs6(vwx230, vwx233, ty_Bool) → new_ltEs5(vwx230, vwx233)
new_esEs32(vwx1720, vwx1730, app(ty_Ratio, ecd)) → new_esEs20(vwx1720, vwx1730, ecd)
new_ltEs15(vwx172, vwx173) → new_fsEs(new_compare30(vwx172, vwx173))
new_esEs38(vwx300, vwx400, app(ty_[], fgc)) → new_esEs18(vwx300, vwx400, fgc)
new_ltEs10(@3(vwx1720, vwx1721, vwx1722), @3(vwx1730, vwx1731, vwx1732), fb, dh, ea) → new_pePe(new_lt21(vwx1720, vwx1730, fb), new_asAs(new_esEs32(vwx1720, vwx1730, fb), new_pePe(new_lt22(vwx1721, vwx1731, dh), new_asAs(new_esEs31(vwx1721, vwx1731, dh), new_ltEs20(vwx1722, vwx1732, ea)))))
new_esEs34(vwx300, vwx400, app(app(app(ty_@3, efe), eff), efg)) → new_esEs12(vwx300, vwx400, efe, eff, efg)
new_esEs8(vwx31, vwx41, ty_Float) → new_esEs21(vwx31, vwx41)
new_esEs6(vwx31, vwx41, app(app(ty_@2, fag), fah)) → new_esEs16(vwx31, vwx41, fag, fah)
new_compare15(True, True) → EQ
new_esEs29(vwx228, vwx231, ty_Ordering) → new_esEs19(vwx228, vwx231)
new_esEs37(vwx301, vwx401, ty_@0) → new_esEs25(vwx301, vwx401)
new_esEs32(vwx1720, vwx1730, app(app(ty_Either, eh), fa)) → new_esEs15(vwx1720, vwx1730, eh, fa)
new_esEs34(vwx300, vwx400, ty_@0) → new_esEs25(vwx300, vwx400)
new_ltEs5(True, False) → False
new_compare34(vwx30, vwx40, app(ty_Ratio, fha)) → new_compare31(vwx30, vwx40, fha)
new_esEs31(vwx1721, vwx1731, app(app(ty_Either, gc), gd)) → new_esEs15(vwx1721, vwx1731, gc, gd)
new_compare18(LT, GT) → LT
new_compare0([], [], cc) → EQ
new_pePe(True, vwx320) → True
new_lt20(vwx1720, vwx1730, app(ty_Maybe, hf)) → new_lt6(vwx1720, vwx1730, hf)
new_primEqNat0(Zero, Zero) → True
new_ltEs21(vwx210, vwx211, ty_Bool) → new_ltEs5(vwx210, vwx211)
new_esEs6(vwx31, vwx41, ty_Double) → new_esEs13(vwx31, vwx41)
new_esEs36(vwx302, vwx402, app(app(app(ty_@3, fcg), fch), fda)) → new_esEs12(vwx302, vwx402, fcg, fch, fda)
new_esEs26(vwx301, vwx401, ty_Integer) → new_esEs22(vwx301, vwx401)
new_ltEs20(vwx1722, vwx1732, app(ty_Ratio, ecf)) → new_ltEs18(vwx1722, vwx1732, ecf)
new_esEs32(vwx1720, vwx1730, ty_Char) → new_esEs23(vwx1720, vwx1730)
new_ltEs21(vwx210, vwx211, ty_Double) → new_ltEs17(vwx210, vwx211)
new_compare33(Just(vwx30), Nothing, df) → GT
new_esEs37(vwx301, vwx401, app(app(ty_@2, feg), feh)) → new_esEs16(vwx301, vwx401, feg, feh)
new_esEs30(vwx1720, vwx1730, app(ty_Ratio, ecb)) → new_esEs20(vwx1720, vwx1730, ecb)
new_ltEs6(vwx230, vwx233, app(app(ty_@2, cac), cad)) → new_ltEs12(vwx230, vwx233, cac, cad)
new_lt20(vwx1720, vwx1730, app(ty_[], hh)) → new_lt9(vwx1720, vwx1730, hh)
new_esEs29(vwx228, vwx231, app(app(ty_Either, bgb), bgc)) → new_esEs15(vwx228, vwx231, bgb, bgc)
new_esEs39(vwx241, vwx243, ty_Integer) → new_esEs22(vwx241, vwx243)
new_esEs15(Right(vwx300), Right(vwx400), cgg, ty_Integer) → new_esEs22(vwx300, vwx400)
new_ltEs5(True, True) → True
new_esEs10(vwx30, vwx40, ty_Int) → new_esEs24(vwx30, vwx40)
new_lt5(vwx229, vwx232, app(ty_Maybe, bge)) → new_lt6(vwx229, vwx232, bge)
new_esEs17(False, False) → True
new_esEs39(vwx241, vwx243, app(ty_[], cce)) → new_esEs18(vwx241, vwx243, cce)
new_esEs15(Left(vwx300), Left(vwx400), app(ty_Ratio, dhc), cgh) → new_esEs20(vwx300, vwx400, dhc)
new_esEs17(False, True) → False
new_esEs17(True, False) → False
new_esEs9(vwx30, vwx40, ty_@0) → new_esEs25(vwx30, vwx40)
new_esEs9(vwx30, vwx40, ty_Char) → new_esEs23(vwx30, vwx40)
new_esEs6(vwx31, vwx41, ty_Float) → new_esEs21(vwx31, vwx41)
new_ltEs7(Just(vwx1720), Just(vwx1730), ty_@0) → new_ltEs8(vwx1720, vwx1730)
new_esEs14(Just(vwx300), Just(vwx400), ty_Integer) → new_esEs22(vwx300, vwx400)
new_ltEs23(vwx242, vwx244, ty_Ordering) → new_ltEs13(vwx242, vwx244)
new_esEs4(vwx30, vwx40, app(app(app(ty_@3, cgc), cgd), cge)) → new_esEs12(vwx30, vwx40, cgc, cgd, cge)
new_sr(vwx30, vwx40) → new_primMulInt(vwx30, vwx40)
new_ltEs24(vwx172, vwx173, ty_@0) → new_ltEs8(vwx172, vwx173)
new_lt4(vwx228, vwx231, ty_Bool) → new_lt17(vwx228, vwx231)
new_lt23(vwx241, vwx243, ty_@0) → new_lt7(vwx241, vwx243)
new_esEs30(vwx1720, vwx1730, ty_@0) → new_esEs25(vwx1720, vwx1730)
new_esEs8(vwx31, vwx41, ty_Char) → new_esEs23(vwx31, vwx41)
new_ltEs22(vwx217, vwx218, ty_Integer) → new_ltEs11(vwx217, vwx218)
new_esEs14(Just(vwx300), Just(vwx400), app(ty_Maybe, ebc)) → new_esEs14(vwx300, vwx400, ebc)
new_lt22(vwx1721, vwx1731, app(ty_[], fd)) → new_lt9(vwx1721, vwx1731, fd)
new_esEs39(vwx241, vwx243, app(app(ty_@2, cda), cdb)) → new_esEs16(vwx241, vwx243, cda, cdb)
new_esEs30(vwx1720, vwx1730, ty_Bool) → new_esEs17(vwx1720, vwx1730)
new_esEs11(vwx30, vwx40, ty_Double) → new_esEs13(vwx30, vwx40)
new_lt17(vwx228, vwx231) → new_esEs19(new_compare15(vwx228, vwx231), LT)
new_lt5(vwx229, vwx232, app(ty_[], bgf)) → new_lt9(vwx229, vwx232, bgf)
new_esEs14(Just(vwx300), Just(vwx400), ty_Char) → new_esEs23(vwx300, vwx400)
new_compare11(vwx308, vwx309, vwx310, vwx311, False, vwx313, deh, dfa) → new_compare12(vwx308, vwx309, vwx310, vwx311, vwx313, deh, dfa)
new_lt15(vwx228, vwx231) → new_esEs19(new_compare30(vwx228, vwx231), LT)
new_primPlusNat0(Succ(vwx3210), vwx4000) → Succ(Succ(new_primPlusNat1(vwx3210, vwx4000)))
new_esEs29(vwx228, vwx231, ty_Float) → new_esEs21(vwx228, vwx231)
new_lt21(vwx1720, vwx1730, ty_Double) → new_lt18(vwx1720, vwx1730)
new_esEs10(vwx30, vwx40, ty_Double) → new_esEs13(vwx30, vwx40)
new_esEs11(vwx30, vwx40, ty_Char) → new_esEs23(vwx30, vwx40)
new_lt5(vwx229, vwx232, ty_@0) → new_lt7(vwx229, vwx232)
new_ltEs4(vwx172, vwx173) → new_fsEs(new_compare5(vwx172, vwx173))
new_lt21(vwx1720, vwx1730, ty_Integer) → new_lt11(vwx1720, vwx1730)
new_esEs8(vwx31, vwx41, ty_Bool) → new_esEs17(vwx31, vwx41)
new_compare17(vwx281, vwx282, True, eaf, eag) → LT
new_ltEs6(vwx230, vwx233, ty_Double) → new_ltEs17(vwx230, vwx233)
new_ltEs14(Left(vwx1720), Left(vwx1730), ty_Double, bcc) → new_ltEs17(vwx1720, vwx1730)
new_esEs27(vwx300, vwx400, ty_Int) → new_esEs24(vwx300, vwx400)
new_ltEs22(vwx217, vwx218, app(ty_Ratio, fcf)) → new_ltEs18(vwx217, vwx218, fcf)
new_lt4(vwx228, vwx231, ty_Float) → new_lt15(vwx228, vwx231)
new_esEs28(vwx229, vwx232, ty_Int) → new_esEs24(vwx229, vwx232)
new_ltEs24(vwx172, vwx173, ty_Integer) → new_ltEs11(vwx172, vwx173)
new_esEs14(Just(vwx300), Nothing, cgf) → False
new_esEs14(Nothing, Just(vwx400), cgf) → False
new_primEqInt(Neg(Succ(vwx3000)), Neg(Succ(vwx4000))) → new_primEqNat0(vwx3000, vwx4000)
new_esEs6(vwx31, vwx41, app(app(ty_Either, fae), faf)) → new_esEs15(vwx31, vwx41, fae, faf)
new_esEs10(vwx30, vwx40, ty_Ordering) → new_esEs19(vwx30, vwx40)
new_ltEs20(vwx1722, vwx1732, ty_Integer) → new_ltEs11(vwx1722, vwx1732)
new_esEs30(vwx1720, vwx1730, ty_Float) → new_esEs21(vwx1720, vwx1730)
new_esEs36(vwx302, vwx402, app(ty_Maybe, fdb)) → new_esEs14(vwx302, vwx402, fdb)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, app(app(ty_@2, beb), bec)) → new_ltEs12(vwx1720, vwx1730, beb, bec)
new_compare15(True, False) → GT
new_esEs11(vwx30, vwx40, ty_Integer) → new_esEs22(vwx30, vwx40)
new_ltEs5(False, False) → True
new_esEs7(vwx30, vwx40, app(app(ty_@2, ede), edf)) → new_esEs16(vwx30, vwx40, ede, edf)
new_esEs19(EQ, EQ) → True
new_primPlusNat1(Succ(vwx32100), Zero) → Succ(vwx32100)
new_primPlusNat1(Zero, Succ(vwx40000)) → Succ(vwx40000)
new_esEs32(vwx1720, vwx1730, app(app(app(ty_@3, ec), ed), ee)) → new_esEs12(vwx1720, vwx1730, ec, ed, ee)
new_compare26(vwx217, vwx218, False, cfa, fce) → new_compare17(vwx217, vwx218, new_ltEs22(vwx217, vwx218, fce), cfa, fce)
new_esEs10(vwx30, vwx40, app(ty_[], dae)) → new_esEs18(vwx30, vwx40, dae)
new_esEs15(Left(vwx300), Left(vwx400), ty_Char, cgh) → new_esEs23(vwx300, vwx400)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, ty_Ordering) → new_ltEs13(vwx1720, vwx1730)
new_esEs25(@0, @0) → True
new_ltEs14(Right(vwx1720), Left(vwx1730), bdd, bcc) → False
new_lt22(vwx1721, vwx1731, ty_Ordering) → new_lt13(vwx1721, vwx1731)
new_ltEs13(LT, GT) → True
new_esEs9(vwx30, vwx40, ty_Float) → new_esEs21(vwx30, vwx40)
new_lt22(vwx1721, vwx1731, app(app(ty_@2, ga), gb)) → new_lt12(vwx1721, vwx1731, ga, gb)
new_ltEs23(vwx242, vwx244, app(ty_Maybe, cbb)) → new_ltEs7(vwx242, vwx244, cbb)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs20(:%(vwx300, vwx301), :%(vwx400, vwx401), chd) → new_asAs(new_esEs27(vwx300, vwx400, chd), new_esEs26(vwx301, vwx401, chd))
new_esEs4(vwx30, vwx40, ty_@0) → new_esEs25(vwx30, vwx40)
new_esEs31(vwx1721, vwx1731, app(ty_Ratio, ece)) → new_esEs20(vwx1721, vwx1731, ece)
new_lt22(vwx1721, vwx1731, ty_Char) → new_lt16(vwx1721, vwx1731)
new_lt5(vwx229, vwx232, ty_Integer) → new_lt11(vwx229, vwx232)
new_compare28(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, False, bgd, bff, bfg) → new_compare10(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, new_lt4(vwx228, vwx231, bgd), new_asAs(new_esEs29(vwx228, vwx231, bgd), new_pePe(new_lt5(vwx229, vwx232, bff), new_asAs(new_esEs28(vwx229, vwx232, bff), new_ltEs6(vwx230, vwx233, bfg)))), bgd, bff, bfg)
new_compare12(vwx308, vwx309, vwx310, vwx311, True, deh, dfa) → LT
new_esEs28(vwx229, vwx232, ty_Double) → new_esEs13(vwx229, vwx232)
new_esEs35(vwx300, vwx400, ty_Ordering) → new_esEs19(vwx300, vwx400)
new_ltEs22(vwx217, vwx218, app(app(ty_Either, cga), cgb)) → new_ltEs14(vwx217, vwx218, cga, cgb)
new_esEs38(vwx300, vwx400, app(app(app(ty_@3, ffc), ffd), ffe)) → new_esEs12(vwx300, vwx400, ffc, ffd, ffe)
new_primEqInt(Neg(Zero), Neg(Succ(vwx4000))) → False
new_primEqInt(Neg(Succ(vwx3000)), Neg(Zero)) → False
new_lt20(vwx1720, vwx1730, ty_Integer) → new_lt11(vwx1720, vwx1730)
new_lt6(vwx228, vwx231, bef) → new_esEs19(new_compare33(vwx228, vwx231, bef), LT)
new_esEs29(vwx228, vwx231, ty_@0) → new_esEs25(vwx228, vwx231)
new_compare26(vwx217, vwx218, True, cfa, fce) → EQ
new_compare34(vwx30, vwx40, app(ty_Maybe, cd)) → new_compare33(vwx30, vwx40, cd)
new_lt20(vwx1720, vwx1730, ty_Ordering) → new_lt13(vwx1720, vwx1730)
new_ltEs21(vwx210, vwx211, app(app(ty_Either, ceg), ceh)) → new_ltEs14(vwx210, vwx211, ceg, ceh)
new_compare29(@3(vwx30, vwx31, vwx32), @3(vwx40, vwx41, vwx42), bfc, bfd, bfe) → new_compare28(vwx30, vwx31, vwx32, vwx40, vwx41, vwx42, new_asAs(new_esEs7(vwx30, vwx40, bfc), new_asAs(new_esEs6(vwx31, vwx41, bfd), new_esEs5(vwx32, vwx42, bfe))), bfc, bfd, bfe)
new_lt20(vwx1720, vwx1730, ty_Char) → new_lt16(vwx1720, vwx1730)
new_fsEs(vwx315) → new_not(new_esEs19(vwx315, GT))
new_esEs6(vwx31, vwx41, app(ty_Ratio, fbb)) → new_esEs20(vwx31, vwx41, fbb)
new_esEs7(vwx30, vwx40, ty_Ordering) → new_esEs19(vwx30, vwx40)
new_lt23(vwx241, vwx243, app(app(app(ty_@3, ccf), ccg), cch)) → new_lt10(vwx241, vwx243, ccf, ccg, cch)
new_ltEs6(vwx230, vwx233, ty_@0) → new_ltEs8(vwx230, vwx233)
new_lt21(vwx1720, vwx1730, app(ty_[], eb)) → new_lt9(vwx1720, vwx1730, eb)
new_compare6(Left(vwx30), Left(vwx40), cde, cdf) → new_compare25(vwx30, vwx40, new_esEs10(vwx30, vwx40, cde), cde, cdf)
new_esEs12(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), cgc, cgd, cge) → new_asAs(new_esEs38(vwx300, vwx400, cgc), new_asAs(new_esEs37(vwx301, vwx401, cgd), new_esEs36(vwx302, vwx402, cge)))
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_lt20(vwx1720, vwx1730, ty_Int) → new_lt8(vwx1720, vwx1730)
new_lt4(vwx228, vwx231, ty_Int) → new_lt8(vwx228, vwx231)
new_esEs10(vwx30, vwx40, app(app(ty_Either, daa), dab)) → new_esEs15(vwx30, vwx40, daa, dab)
new_esEs6(vwx31, vwx41, ty_@0) → new_esEs25(vwx31, vwx41)
new_esEs36(vwx302, vwx402, ty_Integer) → new_esEs22(vwx302, vwx402)
new_ltEs7(Just(vwx1720), Just(vwx1730), app(ty_[], bb)) → new_ltEs9(vwx1720, vwx1730, bb)
new_primCmpNat0(Succ(vwx300), Succ(vwx400)) → new_primCmpNat0(vwx300, vwx400)
new_esEs19(LT, EQ) → False
new_esEs19(EQ, LT) → False
new_esEs35(vwx300, vwx400, ty_Char) → new_esEs23(vwx300, vwx400)
new_ltEs13(GT, LT) → False
new_esEs8(vwx31, vwx41, ty_Integer) → new_esEs22(vwx31, vwx41)
new_primEqInt(Pos(Succ(vwx3000)), Pos(Succ(vwx4000))) → new_primEqNat0(vwx3000, vwx4000)
new_ltEs22(vwx217, vwx218, ty_Double) → new_ltEs17(vwx217, vwx218)
new_lt13(vwx228, vwx231) → new_esEs19(new_compare18(vwx228, vwx231), LT)
new_ltEs13(EQ, EQ) → True
new_compare34(vwx30, vwx40, ty_Double) → new_compare9(vwx30, vwx40)
new_esEs37(vwx301, vwx401, app(ty_Ratio, ffb)) → new_esEs20(vwx301, vwx401, ffb)
new_esEs8(vwx31, vwx41, app(app(ty_Either, dce), dcf)) → new_esEs15(vwx31, vwx41, dce, dcf)
new_esEs14(Just(vwx300), Just(vwx400), ty_Double) → new_esEs13(vwx300, vwx400)
new_ltEs7(Nothing, Just(vwx1730), dfe) → True
new_esEs34(vwx300, vwx400, ty_Int) → new_esEs24(vwx300, vwx400)
new_esEs29(vwx228, vwx231, app(app(app(ty_@3, beh), bfa), bfb)) → new_esEs12(vwx228, vwx231, beh, bfa, bfb)
new_lt23(vwx241, vwx243, ty_Ordering) → new_lt13(vwx241, vwx243)
new_ltEs22(vwx217, vwx218, app(app(app(ty_@3, cfd), cfe), cff)) → new_ltEs10(vwx217, vwx218, cfd, cfe, cff)
new_primEqNat0(Succ(vwx3000), Succ(vwx4000)) → new_primEqNat0(vwx3000, vwx4000)
new_esEs8(vwx31, vwx41, ty_@0) → new_esEs25(vwx31, vwx41)
new_ltEs24(vwx172, vwx173, ty_Float) → new_ltEs15(vwx172, vwx173)
new_lt21(vwx1720, vwx1730, ty_Int) → new_lt8(vwx1720, vwx1730)
new_compare15(False, False) → EQ
new_esEs7(vwx30, vwx40, ty_Float) → new_esEs21(vwx30, vwx40)
new_esEs15(Right(vwx300), Right(vwx400), cgg, ty_Float) → new_esEs21(vwx300, vwx400)
new_compare34(vwx30, vwx40, ty_Float) → new_compare30(vwx30, vwx40)
new_ltEs20(vwx1722, vwx1732, ty_Char) → new_ltEs16(vwx1722, vwx1732)
new_compare10(vwx293, vwx294, vwx295, vwx296, vwx297, vwx298, False, vwx300, dfg, dfh, dga) → new_compare14(vwx293, vwx294, vwx295, vwx296, vwx297, vwx298, vwx300, dfg, dfh, dga)
new_primCompAux00(vwx178, LT) → LT
new_esEs11(vwx30, vwx40, ty_Bool) → new_esEs17(vwx30, vwx40)
new_ltEs22(vwx217, vwx218, ty_@0) → new_ltEs8(vwx217, vwx218)
new_primCmpInt(Neg(Succ(vwx300)), Neg(vwx40)) → new_primCmpNat0(vwx40, Succ(vwx300))
new_ltEs21(vwx210, vwx211, ty_Int) → new_ltEs4(vwx210, vwx211)
new_compare34(vwx30, vwx40, ty_Char) → new_compare8(vwx30, vwx40)
new_esEs11(vwx30, vwx40, app(ty_Maybe, dbb)) → new_esEs14(vwx30, vwx40, dbb)
new_esEs32(vwx1720, vwx1730, app(ty_Maybe, dg)) → new_esEs14(vwx1720, vwx1730, dg)
new_esEs8(vwx31, vwx41, app(app(ty_@2, dcg), dch)) → new_esEs16(vwx31, vwx41, dcg, dch)
new_lt5(vwx229, vwx232, ty_Char) → new_lt16(vwx229, vwx232)
new_esEs14(Just(vwx300), Just(vwx400), app(app(ty_@2, ebf), ebg)) → new_esEs16(vwx300, vwx400, ebf, ebg)
new_esEs15(Left(vwx300), Left(vwx400), ty_Float, cgh) → new_esEs21(vwx300, vwx400)
new_esEs38(vwx300, vwx400, app(ty_Maybe, fff)) → new_esEs14(vwx300, vwx400, fff)
new_ltEs6(vwx230, vwx233, app(ty_Maybe, bhf)) → new_ltEs7(vwx230, vwx233, bhf)
new_esEs14(Just(vwx300), Just(vwx400), app(app(app(ty_@3, eah), eba), ebb)) → new_esEs12(vwx300, vwx400, eah, eba, ebb)
new_primEqInt(Pos(Zero), Pos(Succ(vwx4000))) → False
new_primEqInt(Pos(Succ(vwx3000)), Pos(Zero)) → False
new_esEs11(vwx30, vwx40, app(ty_[], dbg)) → new_esEs18(vwx30, vwx40, dbg)
new_esEs31(vwx1721, vwx1731, ty_Bool) → new_esEs17(vwx1721, vwx1731)
new_compare13(vwx257, vwx258, True, dfd) → LT
new_esEs34(vwx300, vwx400, app(ty_[], ege)) → new_esEs18(vwx300, vwx400, ege)
new_lt4(vwx228, vwx231, app(ty_[], beg)) → new_lt9(vwx228, vwx231, beg)
new_compare18(GT, LT) → GT
new_lt7(vwx228, vwx231) → new_esEs19(new_compare16(vwx228, vwx231), LT)
new_esEs15(Right(vwx300), Right(vwx400), cgg, app(ty_Maybe, dhg)) → new_esEs14(vwx300, vwx400, dhg)
new_esEs5(vwx32, vwx42, ty_Ordering) → new_esEs19(vwx32, vwx42)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(vwx300), Zero) → GT
new_esEs4(vwx30, vwx40, ty_Integer) → new_esEs22(vwx30, vwx40)
new_ltEs6(vwx230, vwx233, ty_Ordering) → new_ltEs13(vwx230, vwx233)
new_primCmpInt(Neg(Zero), Pos(Succ(vwx400))) → LT
new_esEs38(vwx300, vwx400, ty_@0) → new_esEs25(vwx300, vwx400)
new_compare30(Float(vwx30, vwx31), Float(vwx40, vwx41)) → new_compare5(new_sr(vwx30, vwx40), new_sr(vwx31, vwx41))
new_ltEs23(vwx242, vwx244, ty_Integer) → new_ltEs11(vwx242, vwx244)
new_esEs30(vwx1720, vwx1730, app(app(ty_Either, baf), bag)) → new_esEs15(vwx1720, vwx1730, baf, bag)
new_esEs8(vwx31, vwx41, app(ty_[], dda)) → new_esEs18(vwx31, vwx41, dda)
new_sr0(Integer(vwx300), Integer(vwx410)) → Integer(new_primMulInt(vwx300, vwx410))
new_primPlusNat1(Succ(vwx32100), Succ(vwx40000)) → Succ(Succ(new_primPlusNat1(vwx32100, vwx40000)))
new_ltEs19(vwx1721, vwx1731, app(app(ty_@2, bbf), bbg)) → new_ltEs12(vwx1721, vwx1731, bbf, bbg)
new_esEs15(Right(vwx300), Right(vwx400), cgg, ty_Double) → new_esEs13(vwx300, vwx400)
new_esEs34(vwx300, vwx400, app(app(ty_@2, egc), egd)) → new_esEs16(vwx300, vwx400, egc, egd)
new_primEqInt(Neg(Succ(vwx3000)), Pos(vwx400)) → False
new_primEqInt(Pos(Succ(vwx3000)), Neg(vwx400)) → False
new_esEs29(vwx228, vwx231, ty_Int) → new_esEs24(vwx228, vwx231)
new_compare210(vwx172, vwx173, True, fgh) → EQ
new_lt4(vwx228, vwx231, app(app(ty_@2, bfh), bga)) → new_lt12(vwx228, vwx231, bfh, bga)
new_ltEs5(False, True) → True
new_ltEs14(Left(vwx1720), Left(vwx1730), ty_Bool, bcc) → new_ltEs5(vwx1720, vwx1730)
new_lt22(vwx1721, vwx1731, ty_Int) → new_lt8(vwx1721, vwx1731)
new_lt23(vwx241, vwx243, app(ty_[], cce)) → new_lt9(vwx241, vwx243, cce)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, app(ty_Ratio, dfc)) → new_ltEs18(vwx1720, vwx1730, dfc)
new_esEs15(Right(vwx300), Right(vwx400), cgg, app(app(ty_Either, dhh), eaa)) → new_esEs15(vwx300, vwx400, dhh, eaa)
new_ltEs20(vwx1722, vwx1732, ty_Float) → new_ltEs15(vwx1722, vwx1732)
new_esEs10(vwx30, vwx40, ty_Integer) → new_esEs22(vwx30, vwx40)
new_esEs10(vwx30, vwx40, ty_@0) → new_esEs25(vwx30, vwx40)
new_ltEs21(vwx210, vwx211, ty_@0) → new_ltEs8(vwx210, vwx211)
new_primEqInt(Neg(Zero), Pos(Succ(vwx4000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vwx4000))) → False
new_esEs35(vwx300, vwx400, app(app(ty_Either, fbg), fbh)) → new_esEs15(vwx300, vwx400, fbg, fbh)
new_esEs38(vwx300, vwx400, app(app(ty_Either, ffg), ffh)) → new_esEs15(vwx300, vwx400, ffg, ffh)
new_compare18(EQ, LT) → GT
new_primCmpInt(Pos(Zero), Pos(Succ(vwx400))) → new_primCmpNat0(Zero, Succ(vwx400))
new_primCompAux00(vwx178, EQ) → vwx178
new_esEs33(vwx301, vwx401, app(ty_Ratio, efd)) → new_esEs20(vwx301, vwx401, efd)
new_compare9(Double(vwx30, vwx31), Double(vwx40, vwx41)) → new_compare5(new_sr(vwx30, vwx40), new_sr(vwx31, vwx41))
new_ltEs24(vwx172, vwx173, ty_Int) → new_ltEs4(vwx172, vwx173)
new_ltEs12(@2(vwx1720, vwx1721), @2(vwx1730, vwx1731), bah, hg) → new_pePe(new_lt20(vwx1720, vwx1730, bah), new_asAs(new_esEs30(vwx1720, vwx1730, bah), new_ltEs19(vwx1721, vwx1731, hg)))
new_lt23(vwx241, vwx243, ty_Int) → new_lt8(vwx241, vwx243)
new_ltEs13(GT, EQ) → False
new_ltEs7(Just(vwx1720), Just(vwx1730), app(app(ty_Either, bh), ca)) → new_ltEs14(vwx1720, vwx1730, bh, ca)
new_ltEs13(EQ, LT) → False
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, ty_Float) → new_ltEs15(vwx1720, vwx1730)
new_esEs7(vwx30, vwx40, ty_@0) → new_esEs25(vwx30, vwx40)
new_esEs10(vwx30, vwx40, app(app(ty_@2, dac), dad)) → new_esEs16(vwx30, vwx40, dac, dad)
new_esEs39(vwx241, vwx243, app(ty_Ratio, fgf)) → new_esEs20(vwx241, vwx243, fgf)
new_ltEs23(vwx242, vwx244, app(ty_Ratio, fge)) → new_ltEs18(vwx242, vwx244, fge)
new_ltEs7(Just(vwx1720), Just(vwx1730), ty_Float) → new_ltEs15(vwx1720, vwx1730)
new_compare17(vwx281, vwx282, False, eaf, eag) → GT
new_ltEs6(vwx230, vwx233, app(ty_Ratio, deg)) → new_ltEs18(vwx230, vwx233, deg)
new_esEs32(vwx1720, vwx1730, ty_Bool) → new_esEs17(vwx1720, vwx1730)
new_lt21(vwx1720, vwx1730, ty_Bool) → new_lt17(vwx1720, vwx1730)
new_esEs35(vwx300, vwx400, ty_Bool) → new_esEs17(vwx300, vwx400)
new_esEs11(vwx30, vwx40, ty_Ordering) → new_esEs19(vwx30, vwx40)
new_compare18(EQ, GT) → LT
new_not(False) → True
new_esEs14(Just(vwx300), Just(vwx400), app(app(ty_Either, ebd), ebe)) → new_esEs15(vwx300, vwx400, ebd, ebe)
new_esEs21(Float(vwx300, vwx301), Float(vwx400, vwx401)) → new_esEs24(new_sr(vwx300, vwx400), new_sr(vwx301, vwx401))
new_ltEs14(Left(vwx1720), Left(vwx1730), ty_Integer, bcc) → new_ltEs11(vwx1720, vwx1730)
new_esEs38(vwx300, vwx400, ty_Char) → new_esEs23(vwx300, vwx400)
new_esEs9(vwx30, vwx40, ty_Integer) → new_esEs22(vwx30, vwx40)
new_esEs10(vwx30, vwx40, ty_Float) → new_esEs21(vwx30, vwx40)
new_esEs8(vwx31, vwx41, app(ty_Maybe, dcd)) → new_esEs14(vwx31, vwx41, dcd)
new_primCmpInt(Pos(Succ(vwx300)), Pos(vwx40)) → new_primCmpNat0(Succ(vwx300), vwx40)
new_ltEs20(vwx1722, vwx1732, ty_Ordering) → new_ltEs13(vwx1722, vwx1732)
new_primPlusNat0(Zero, vwx4000) → Succ(vwx4000)
new_esEs32(vwx1720, vwx1730, ty_Float) → new_esEs21(vwx1720, vwx1730)
new_esEs37(vwx301, vwx401, ty_Int) → new_esEs24(vwx301, vwx401)
new_esEs39(vwx241, vwx243, app(app(app(ty_@3, ccf), ccg), cch)) → new_esEs12(vwx241, vwx243, ccf, ccg, cch)
new_esEs8(vwx31, vwx41, ty_Ordering) → new_esEs19(vwx31, vwx41)
new_ltEs23(vwx242, vwx244, app(ty_[], cbc)) → new_ltEs9(vwx242, vwx244, cbc)
new_lt12(vwx228, vwx231, bfh, bga) → new_esEs19(new_compare7(vwx228, vwx231, bfh, bga), LT)
new_lt4(vwx228, vwx231, app(app(ty_Either, bgb), bgc)) → new_lt14(vwx228, vwx231, bgb, bgc)
new_esEs37(vwx301, vwx401, app(app(ty_Either, fee), fef)) → new_esEs15(vwx301, vwx401, fee, fef)
new_esEs35(vwx300, vwx400, ty_Double) → new_esEs13(vwx300, vwx400)
new_compare0(:(vwx30, vwx31), [], cc) → GT
new_esEs4(vwx30, vwx40, ty_Char) → new_esEs23(vwx30, vwx40)
new_esEs7(vwx30, vwx40, ty_Bool) → new_esEs17(vwx30, vwx40)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, ty_@0) → new_ltEs8(vwx1720, vwx1730)
new_esEs19(LT, GT) → False
new_esEs19(GT, LT) → False
new_esEs38(vwx300, vwx400, ty_Integer) → new_esEs22(vwx300, vwx400)
new_ltEs24(vwx172, vwx173, app(app(ty_Either, bdd), bcc)) → new_ltEs14(vwx172, vwx173, bdd, bcc)
new_esEs5(vwx32, vwx42, ty_Char) → new_esEs23(vwx32, vwx42)
new_primCmpInt(Pos(Succ(vwx300)), Neg(vwx40)) → GT
new_ltEs7(Just(vwx1720), Just(vwx1730), app(ty_Maybe, ba)) → new_ltEs7(vwx1720, vwx1730, ba)
new_lt4(vwx228, vwx231, ty_Integer) → new_lt11(vwx228, vwx231)
new_ltEs24(vwx172, vwx173, ty_Ordering) → new_ltEs13(vwx172, vwx173)
new_ltEs14(Left(vwx1720), Left(vwx1730), app(ty_[], bcd), bcc) → new_ltEs9(vwx1720, vwx1730, bcd)
new_lt4(vwx228, vwx231, ty_@0) → new_lt7(vwx228, vwx231)
new_esEs8(vwx31, vwx41, ty_Int) → new_esEs24(vwx31, vwx41)
new_esEs31(vwx1721, vwx1731, app(ty_[], fd)) → new_esEs18(vwx1721, vwx1731, fd)
new_primMulInt(Pos(vwx300), Pos(vwx400)) → Pos(new_primMulNat0(vwx300, vwx400))
new_esEs30(vwx1720, vwx1730, ty_Char) → new_esEs23(vwx1720, vwx1730)
new_lt4(vwx228, vwx231, ty_Double) → new_lt18(vwx228, vwx231)
new_esEs5(vwx32, vwx42, ty_Float) → new_esEs21(vwx32, vwx42)
new_lt23(vwx241, vwx243, ty_Float) → new_lt15(vwx241, vwx243)
new_esEs11(vwx30, vwx40, ty_Int) → new_esEs24(vwx30, vwx40)
new_ltEs21(vwx210, vwx211, ty_Ordering) → new_ltEs13(vwx210, vwx211)
new_esEs35(vwx300, vwx400, app(ty_Ratio, fcd)) → new_esEs20(vwx300, vwx400, fcd)
new_primMulInt(Neg(vwx300), Neg(vwx400)) → Pos(new_primMulNat0(vwx300, vwx400))
new_esEs32(vwx1720, vwx1730, ty_Integer) → new_esEs22(vwx1720, vwx1730)
new_primEqNat0(Zero, Succ(vwx4000)) → False
new_primEqNat0(Succ(vwx3000), Zero) → False
new_esEs11(vwx30, vwx40, app(app(ty_@2, dbe), dbf)) → new_esEs16(vwx30, vwx40, dbe, dbf)
new_ltEs23(vwx242, vwx244, app(app(app(ty_@3, cbd), cbe), cbf)) → new_ltEs10(vwx242, vwx244, cbd, cbe, cbf)
new_lt20(vwx1720, vwx1730, app(app(ty_@2, bad), bae)) → new_lt12(vwx1720, vwx1730, bad, bae)
new_esEs30(vwx1720, vwx1730, app(app(ty_@2, bad), bae)) → new_esEs16(vwx1720, vwx1730, bad, bae)
new_compare25(vwx210, vwx211, True, eea, cdh) → EQ
new_ltEs22(vwx217, vwx218, ty_Ordering) → new_ltEs13(vwx217, vwx218)
new_ltEs7(Just(vwx1720), Just(vwx1730), app(app(app(ty_@3, bc), bd), be)) → new_ltEs10(vwx1720, vwx1730, bc, bd, be)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs36(vwx302, vwx402, ty_@0) → new_esEs25(vwx302, vwx402)
new_lt8(vwx228, vwx231) → new_esEs19(new_compare5(vwx228, vwx231), LT)
new_esEs15(Right(vwx300), Right(vwx400), cgg, ty_Char) → new_esEs23(vwx300, vwx400)
new_esEs35(vwx300, vwx400, ty_Integer) → new_esEs22(vwx300, vwx400)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, ty_Int) → new_ltEs4(vwx1720, vwx1730)
new_ltEs6(vwx230, vwx233, ty_Int) → new_ltEs4(vwx230, vwx233)
new_esEs6(vwx31, vwx41, ty_Integer) → new_esEs22(vwx31, vwx41)
new_esEs9(vwx30, vwx40, ty_Ordering) → new_esEs19(vwx30, vwx40)
new_esEs11(vwx30, vwx40, app(app(app(ty_@3, dag), dah), dba)) → new_esEs12(vwx30, vwx40, dag, dah, dba)
new_lt4(vwx228, vwx231, ty_Char) → new_lt16(vwx228, vwx231)
new_esEs32(vwx1720, vwx1730, ty_@0) → new_esEs25(vwx1720, vwx1730)
new_ltEs14(Left(vwx1720), Left(vwx1730), ty_@0, bcc) → new_ltEs8(vwx1720, vwx1730)
new_ltEs7(Nothing, Nothing, dfe) → True
new_esEs14(Just(vwx300), Just(vwx400), ty_Ordering) → new_esEs19(vwx300, vwx400)
new_ltEs20(vwx1722, vwx1732, ty_Double) → new_ltEs17(vwx1722, vwx1732)
new_esEs5(vwx32, vwx42, app(ty_Ratio, ehh)) → new_esEs20(vwx32, vwx42, ehh)
new_ltEs23(vwx242, vwx244, ty_Double) → new_ltEs17(vwx242, vwx244)
new_compare13(vwx257, vwx258, False, dfd) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(vwx400))) → new_primCmpNat0(Succ(vwx400), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vwx400))) → GT
new_ltEs22(vwx217, vwx218, ty_Char) → new_ltEs16(vwx217, vwx218)
new_compare5(vwx3, vwx4) → new_primCmpInt(vwx3, vwx4)
new_compare19(vwx271, vwx272, True, fhb, fhc) → LT
new_lt20(vwx1720, vwx1730, ty_Double) → new_lt18(vwx1720, vwx1730)
new_lt5(vwx229, vwx232, app(app(ty_Either, bhd), bhe)) → new_lt14(vwx229, vwx232, bhd, bhe)
new_esEs34(vwx300, vwx400, ty_Bool) → new_esEs17(vwx300, vwx400)
new_ltEs14(Left(vwx1720), Left(vwx1730), app(ty_Maybe, bcb), bcc) → new_ltEs7(vwx1720, vwx1730, bcb)
new_lt22(vwx1721, vwx1731, app(ty_Ratio, ece)) → new_lt19(vwx1721, vwx1731, ece)
new_compare34(vwx30, vwx40, ty_Int) → new_compare5(vwx30, vwx40)
new_esEs19(LT, LT) → True
new_ltEs24(vwx172, vwx173, app(ty_Ratio, fgg)) → new_ltEs18(vwx172, vwx173, fgg)
new_lt20(vwx1720, vwx1730, app(ty_Ratio, ecb)) → new_lt19(vwx1720, vwx1730, ecb)
new_esEs9(vwx30, vwx40, ty_Bool) → new_esEs17(vwx30, vwx40)
new_ltEs19(vwx1721, vwx1731, ty_Integer) → new_ltEs11(vwx1721, vwx1731)
new_esEs5(vwx32, vwx42, ty_Int) → new_esEs24(vwx32, vwx42)
new_esEs33(vwx301, vwx401, app(app(app(ty_@3, eec), eed), eee)) → new_esEs12(vwx301, vwx401, eec, eed, eee)
new_ltEs22(vwx217, vwx218, ty_Bool) → new_ltEs5(vwx217, vwx218)
new_esEs19(EQ, GT) → False
new_esEs19(GT, EQ) → False
new_lt21(vwx1720, vwx1730, app(app(app(ty_@3, ec), ed), ee)) → new_lt10(vwx1720, vwx1730, ec, ed, ee)
new_lt4(vwx228, vwx231, ty_Ordering) → new_lt13(vwx228, vwx231)
new_esEs33(vwx301, vwx401, ty_Char) → new_esEs23(vwx301, vwx401)
new_esEs27(vwx300, vwx400, ty_Integer) → new_esEs22(vwx300, vwx400)
new_esEs28(vwx229, vwx232, app(ty_[], bgf)) → new_esEs18(vwx229, vwx232, bgf)
new_ltEs21(vwx210, vwx211, ty_Integer) → new_ltEs11(vwx210, vwx211)
new_esEs30(vwx1720, vwx1730, app(ty_[], hh)) → new_esEs18(vwx1720, vwx1730, hh)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs29(vwx228, vwx231, ty_Bool) → new_esEs17(vwx228, vwx231)
new_esEs32(vwx1720, vwx1730, ty_Double) → new_esEs13(vwx1720, vwx1730)
new_esEs9(vwx30, vwx40, ty_Int) → new_esEs24(vwx30, vwx40)
new_ltEs22(vwx217, vwx218, app(ty_Maybe, cfb)) → new_ltEs7(vwx217, vwx218, cfb)
new_ltEs14(Left(vwx1720), Right(vwx1730), bdd, bcc) → True
new_lt23(vwx241, vwx243, app(app(ty_Either, cdc), cdd)) → new_lt14(vwx241, vwx243, cdc, cdd)
new_ltEs13(GT, GT) → True
new_esEs14(Nothing, Nothing, cgf) → True
new_esEs10(vwx30, vwx40, ty_Char) → new_esEs23(vwx30, vwx40)
new_ltEs20(vwx1722, vwx1732, app(app(ty_Either, hd), he)) → new_ltEs14(vwx1722, vwx1732, hd, he)
new_asAs(False, vwx266) → False
new_lt23(vwx241, vwx243, ty_Bool) → new_lt17(vwx241, vwx243)
new_esEs9(vwx30, vwx40, ty_Double) → new_esEs13(vwx30, vwx40)
new_ltEs19(vwx1721, vwx1731, app(app(ty_Either, bbh), bca)) → new_ltEs14(vwx1721, vwx1731, bbh, bca)
new_primMulInt(Neg(vwx300), Pos(vwx400)) → Neg(new_primMulNat0(vwx300, vwx400))
new_primMulInt(Pos(vwx300), Neg(vwx400)) → Neg(new_primMulNat0(vwx300, vwx400))
new_esEs7(vwx30, vwx40, app(app(app(ty_@3, ecg), ech), eda)) → new_esEs12(vwx30, vwx40, ecg, ech, eda)
new_esEs36(vwx302, vwx402, app(app(ty_@2, fde), fdf)) → new_esEs16(vwx302, vwx402, fde, fdf)
new_esEs5(vwx32, vwx42, ty_@0) → new_esEs25(vwx32, vwx42)
new_esEs32(vwx1720, vwx1730, ty_Int) → new_esEs24(vwx1720, vwx1730)
new_compare33(Nothing, Nothing, df) → EQ
new_primMulNat0(Succ(vwx3000), Zero) → Zero
new_primMulNat0(Zero, Succ(vwx4000)) → Zero
new_esEs9(vwx30, vwx40, app(app(ty_@2, dea), deb)) → new_esEs16(vwx30, vwx40, dea, deb)
new_esEs18([], [], chc) → True
new_ltEs6(vwx230, vwx233, ty_Integer) → new_ltEs11(vwx230, vwx233)
new_compare14(vwx293, vwx294, vwx295, vwx296, vwx297, vwx298, True, dfg, dfh, dga) → LT
new_lt4(vwx228, vwx231, app(app(app(ty_@3, beh), bfa), bfb)) → new_lt10(vwx228, vwx231, beh, bfa, bfb)
new_lt5(vwx229, vwx232, ty_Int) → new_lt8(vwx229, vwx232)
new_esEs31(vwx1721, vwx1731, ty_Ordering) → new_esEs19(vwx1721, vwx1731)
new_esEs7(vwx30, vwx40, app(ty_Ratio, edh)) → new_esEs20(vwx30, vwx40, edh)
new_esEs33(vwx301, vwx401, ty_Ordering) → new_esEs19(vwx301, vwx401)
new_lt21(vwx1720, vwx1730, ty_Ordering) → new_lt13(vwx1720, vwx1730)
new_ltEs19(vwx1721, vwx1731, ty_Char) → new_ltEs16(vwx1721, vwx1731)
new_esEs29(vwx228, vwx231, ty_Char) → new_esEs23(vwx228, vwx231)
new_esEs6(vwx31, vwx41, ty_Bool) → new_esEs17(vwx31, vwx41)
new_esEs30(vwx1720, vwx1730, ty_Int) → new_esEs24(vwx1720, vwx1730)
new_esEs29(vwx228, vwx231, ty_Double) → new_esEs13(vwx228, vwx231)
new_esEs33(vwx301, vwx401, app(ty_Maybe, eef)) → new_esEs14(vwx301, vwx401, eef)
new_ltEs23(vwx242, vwx244, ty_Char) → new_ltEs16(vwx242, vwx244)
new_esEs4(vwx30, vwx40, app(ty_[], chc)) → new_esEs18(vwx30, vwx40, chc)
new_lt22(vwx1721, vwx1731, ty_Bool) → new_lt17(vwx1721, vwx1731)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, app(app(ty_Either, bed), bee)) → new_ltEs14(vwx1720, vwx1730, bed, bee)
new_esEs5(vwx32, vwx42, app(ty_Maybe, ehb)) → new_esEs14(vwx32, vwx42, ehb)
new_esEs38(vwx300, vwx400, app(app(ty_@2, fga), fgb)) → new_esEs16(vwx300, vwx400, fga, fgb)
new_esEs37(vwx301, vwx401, ty_Double) → new_esEs13(vwx301, vwx401)
new_esEs30(vwx1720, vwx1730, app(app(app(ty_@3, baa), bab), bac)) → new_esEs12(vwx1720, vwx1730, baa, bab, bac)
new_esEs7(vwx30, vwx40, ty_Char) → new_esEs23(vwx30, vwx40)
new_ltEs24(vwx172, vwx173, app(ty_[], cb)) → new_ltEs9(vwx172, vwx173, cb)
new_esEs10(vwx30, vwx40, app(ty_Maybe, chh)) → new_esEs14(vwx30, vwx40, chh)
new_esEs15(Left(vwx300), Left(vwx400), ty_Integer, cgh) → new_esEs22(vwx300, vwx400)
new_esEs38(vwx300, vwx400, ty_Double) → new_esEs13(vwx300, vwx400)
new_esEs24(vwx30, vwx40) → new_primEqInt(vwx30, vwx40)
new_ltEs7(Just(vwx1720), Just(vwx1730), app(ty_Ratio, dff)) → new_ltEs18(vwx1720, vwx1730, dff)
new_esEs34(vwx300, vwx400, ty_Float) → new_esEs21(vwx300, vwx400)
new_lt5(vwx229, vwx232, app(ty_Ratio, def)) → new_lt19(vwx229, vwx232, def)
new_compare33(Nothing, Just(vwx40), df) → LT
new_esEs4(vwx30, vwx40, app(ty_Ratio, chd)) → new_esEs20(vwx30, vwx40, chd)
new_ltEs19(vwx1721, vwx1731, ty_@0) → new_ltEs8(vwx1721, vwx1731)
new_lt21(vwx1720, vwx1730, app(ty_Maybe, dg)) → new_lt6(vwx1720, vwx1730, dg)
new_esEs26(vwx301, vwx401, ty_Int) → new_esEs24(vwx301, vwx401)
new_ltEs9(vwx172, vwx173, cb) → new_fsEs(new_compare0(vwx172, vwx173, cb))
new_esEs35(vwx300, vwx400, app(ty_[], fcc)) → new_esEs18(vwx300, vwx400, fcc)
new_ltEs19(vwx1721, vwx1731, ty_Bool) → new_ltEs5(vwx1721, vwx1731)
new_ltEs21(vwx210, vwx211, ty_Char) → new_ltEs16(vwx210, vwx211)
new_ltEs14(Left(vwx1720), Left(vwx1730), app(app(ty_Either, bdb), bdc), bcc) → new_ltEs14(vwx1720, vwx1730, bdb, bdc)
new_ltEs23(vwx242, vwx244, app(app(ty_@2, cbg), cbh)) → new_ltEs12(vwx242, vwx244, cbg, cbh)
new_esEs33(vwx301, vwx401, app(app(ty_Either, eeg), eeh)) → new_esEs15(vwx301, vwx401, eeg, eeh)
new_lt22(vwx1721, vwx1731, app(app(app(ty_@3, ff), fg), fh)) → new_lt10(vwx1721, vwx1731, ff, fg, fh)
new_esEs34(vwx300, vwx400, ty_Char) → new_esEs23(vwx300, vwx400)
new_esEs15(Left(vwx300), Left(vwx400), ty_Int, cgh) → new_esEs24(vwx300, vwx400)
new_esEs30(vwx1720, vwx1730, app(ty_Maybe, hf)) → new_esEs14(vwx1720, vwx1730, hf)
new_compare28(vwx228, vwx229, vwx230, vwx231, vwx232, vwx233, True, bgd, bff, bfg) → EQ
new_ltEs14(Left(vwx1720), Left(vwx1730), ty_Int, bcc) → new_ltEs4(vwx1720, vwx1730)
new_esEs39(vwx241, vwx243, ty_Int) → new_esEs24(vwx241, vwx243)
new_esEs4(vwx30, vwx40, ty_Double) → new_esEs13(vwx30, vwx40)
new_esEs15(Left(vwx300), Left(vwx400), ty_@0, cgh) → new_esEs25(vwx300, vwx400)
new_esEs11(vwx30, vwx40, ty_@0) → new_esEs25(vwx30, vwx40)
new_esEs5(vwx32, vwx42, app(app(app(ty_@3, egg), egh), eha)) → new_esEs12(vwx32, vwx42, egg, egh, eha)
new_ltEs7(Just(vwx1720), Nothing, dfe) → False
new_compare15(False, True) → LT
new_esEs28(vwx229, vwx232, ty_Bool) → new_esEs17(vwx229, vwx232)
new_esEs5(vwx32, vwx42, app(app(ty_@2, ehe), ehf)) → new_esEs16(vwx32, vwx42, ehe, ehf)
new_esEs39(vwx241, vwx243, ty_Char) → new_esEs23(vwx241, vwx243)
new_ltEs7(Just(vwx1720), Just(vwx1730), ty_Integer) → new_ltEs11(vwx1720, vwx1730)
new_esEs28(vwx229, vwx232, app(ty_Ratio, def)) → new_esEs20(vwx229, vwx232, def)
new_lt16(vwx228, vwx231) → new_esEs19(new_compare8(vwx228, vwx231), LT)
new_esEs15(Right(vwx300), Right(vwx400), cgg, app(app(app(ty_@3, dhd), dhe), dhf)) → new_esEs12(vwx300, vwx400, dhd, dhe, dhf)
new_esEs28(vwx229, vwx232, app(app(ty_Either, bhd), bhe)) → new_esEs15(vwx229, vwx232, bhd, bhe)
new_esEs37(vwx301, vwx401, app(app(app(ty_@3, fea), feb), fec)) → new_esEs12(vwx301, vwx401, fea, feb, fec)
new_ltEs23(vwx242, vwx244, ty_Bool) → new_ltEs5(vwx242, vwx244)
new_esEs6(vwx31, vwx41, app(ty_Maybe, fad)) → new_esEs14(vwx31, vwx41, fad)
new_lt5(vwx229, vwx232, app(app(ty_@2, bhb), bhc)) → new_lt12(vwx229, vwx232, bhb, bhc)
new_lt9(vwx228, vwx231, beg) → new_esEs19(new_compare0(vwx228, vwx231, beg), LT)
new_ltEs14(Left(vwx1720), Left(vwx1730), app(app(app(ty_@3, bce), bcf), bcg), bcc) → new_ltEs10(vwx1720, vwx1730, bce, bcf, bcg)
new_lt22(vwx1721, vwx1731, ty_Double) → new_lt18(vwx1721, vwx1731)
new_esEs37(vwx301, vwx401, ty_Char) → new_esEs23(vwx301, vwx401)
new_compare18(LT, LT) → EQ
new_esEs33(vwx301, vwx401, ty_Int) → new_esEs24(vwx301, vwx401)
new_compare34(vwx30, vwx40, ty_Ordering) → new_compare18(vwx30, vwx40)
new_esEs36(vwx302, vwx402, ty_Ordering) → new_esEs19(vwx302, vwx402)
new_ltEs19(vwx1721, vwx1731, app(ty_Maybe, bba)) → new_ltEs7(vwx1721, vwx1731, bba)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, app(ty_Maybe, bde)) → new_ltEs7(vwx1720, vwx1730, bde)
new_lt21(vwx1720, vwx1730, app(ty_Ratio, ecd)) → new_lt19(vwx1720, vwx1730, ecd)
new_ltEs21(vwx210, vwx211, app(ty_Maybe, cdg)) → new_ltEs7(vwx210, vwx211, cdg)
new_esEs39(vwx241, vwx243, ty_Float) → new_esEs21(vwx241, vwx243)
new_ltEs22(vwx217, vwx218, app(ty_[], cfc)) → new_ltEs9(vwx217, vwx218, cfc)
new_esEs16(@2(vwx300, vwx301), @2(vwx400, vwx401), cha, chb) → new_asAs(new_esEs34(vwx300, vwx400, cha), new_esEs33(vwx301, vwx401, chb))
new_compare27(vwx241, vwx242, vwx243, vwx244, False, cba, ccd) → new_compare11(vwx241, vwx242, vwx243, vwx244, new_lt23(vwx241, vwx243, cba), new_asAs(new_esEs39(vwx241, vwx243, cba), new_ltEs23(vwx242, vwx244, ccd)), cba, ccd)
new_esEs9(vwx30, vwx40, app(ty_Ratio, ded)) → new_esEs20(vwx30, vwx40, ded)
new_esEs33(vwx301, vwx401, ty_Double) → new_esEs13(vwx301, vwx401)
new_esEs37(vwx301, vwx401, ty_Bool) → new_esEs17(vwx301, vwx401)
new_esEs7(vwx30, vwx40, app(app(ty_Either, edc), edd)) → new_esEs15(vwx30, vwx40, edc, edd)
new_esEs33(vwx301, vwx401, ty_Integer) → new_esEs22(vwx301, vwx401)
new_ltEs13(LT, LT) → True
new_ltEs21(vwx210, vwx211, app(app(app(ty_@3, ceb), cec), ced)) → new_ltEs10(vwx210, vwx211, ceb, cec, ced)
new_esEs5(vwx32, vwx42, ty_Double) → new_esEs13(vwx32, vwx42)
new_esEs15(Left(vwx300), Left(vwx400), ty_Double, cgh) → new_esEs13(vwx300, vwx400)
new_esEs35(vwx300, vwx400, ty_@0) → new_esEs25(vwx300, vwx400)
new_ltEs6(vwx230, vwx233, ty_Char) → new_ltEs16(vwx230, vwx233)
new_lt4(vwx228, vwx231, app(ty_Ratio, dee)) → new_lt19(vwx228, vwx231, dee)
new_ltEs24(vwx172, vwx173, ty_Double) → new_ltEs17(vwx172, vwx173)
new_esEs14(Just(vwx300), Just(vwx400), ty_@0) → new_esEs25(vwx300, vwx400)
new_esEs33(vwx301, vwx401, app(ty_[], efc)) → new_esEs18(vwx301, vwx401, efc)
new_compare34(vwx30, vwx40, app(app(ty_@2, db), dc)) → new_compare7(vwx30, vwx40, db, dc)
new_esEs29(vwx228, vwx231, app(ty_[], beg)) → new_esEs18(vwx228, vwx231, beg)
new_compare0([], :(vwx40, vwx41), cc) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_compare34(vwx30, vwx40, ty_Integer) → new_compare32(vwx30, vwx40)
new_esEs39(vwx241, vwx243, app(ty_Maybe, ccc)) → new_esEs14(vwx241, vwx243, ccc)
new_lt21(vwx1720, vwx1730, app(app(ty_Either, eh), fa)) → new_lt14(vwx1720, vwx1730, eh, fa)
new_lt20(vwx1720, vwx1730, ty_Float) → new_lt15(vwx1720, vwx1730)
new_asAs(True, vwx266) → vwx266
new_esEs39(vwx241, vwx243, ty_Bool) → new_esEs17(vwx241, vwx243)
new_esEs15(Left(vwx300), Left(vwx400), app(ty_[], dhb), cgh) → new_esEs18(vwx300, vwx400, dhb)
new_primMulNat0(Succ(vwx3000), Succ(vwx4000)) → new_primPlusNat0(new_primMulNat0(vwx3000, Succ(vwx4000)), vwx4000)
new_esEs38(vwx300, vwx400, ty_Int) → new_esEs24(vwx300, vwx400)
new_esEs31(vwx1721, vwx1731, ty_Float) → new_esEs21(vwx1721, vwx1731)
new_esEs34(vwx300, vwx400, app(ty_Maybe, efh)) → new_esEs14(vwx300, vwx400, efh)
new_esEs39(vwx241, vwx243, ty_Double) → new_esEs13(vwx241, vwx243)
new_ltEs7(Just(vwx1720), Just(vwx1730), app(app(ty_@2, bf), bg)) → new_ltEs12(vwx1720, vwx1730, bf, bg)
new_esEs31(vwx1721, vwx1731, app(app(ty_@2, ga), gb)) → new_esEs16(vwx1721, vwx1731, ga, gb)
new_ltEs21(vwx210, vwx211, ty_Float) → new_ltEs15(vwx210, vwx211)
new_esEs5(vwx32, vwx42, ty_Bool) → new_esEs17(vwx32, vwx42)
new_esEs31(vwx1721, vwx1731, ty_Char) → new_esEs23(vwx1721, vwx1731)
new_lt20(vwx1720, vwx1730, ty_Bool) → new_lt17(vwx1720, vwx1730)
new_ltEs17(vwx172, vwx173) → new_fsEs(new_compare9(vwx172, vwx173))
new_lt11(vwx228, vwx231) → new_esEs19(new_compare32(vwx228, vwx231), LT)
new_lt19(vwx228, vwx231, dee) → new_esEs19(new_compare31(vwx228, vwx231, dee), LT)
new_lt23(vwx241, vwx243, ty_Char) → new_lt16(vwx241, vwx243)
new_esEs23(Char(vwx300), Char(vwx400)) → new_primEqNat0(vwx300, vwx400)
new_compare6(Right(vwx30), Left(vwx40), cde, cdf) → GT
new_compare34(vwx30, vwx40, app(app(ty_Either, dd), de)) → new_compare6(vwx30, vwx40, dd, de)
new_esEs36(vwx302, vwx402, ty_Float) → new_esEs21(vwx302, vwx402)
new_compare18(LT, EQ) → LT
new_esEs15(Right(vwx300), Right(vwx400), cgg, app(app(ty_@2, eab), eac)) → new_esEs16(vwx300, vwx400, eab, eac)
new_ltEs18(vwx172, vwx173, fgg) → new_fsEs(new_compare31(vwx172, vwx173, fgg))
new_ltEs20(vwx1722, vwx1732, app(app(app(ty_@3, gg), gh), ha)) → new_ltEs10(vwx1722, vwx1732, gg, gh, ha)
new_esEs28(vwx229, vwx232, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs12(vwx229, vwx232, bgg, bgh, bha)
new_esEs37(vwx301, vwx401, ty_Ordering) → new_esEs19(vwx301, vwx401)
new_ltEs11(vwx172, vwx173) → new_fsEs(new_compare32(vwx172, vwx173))
new_esEs4(vwx30, vwx40, app(app(ty_@2, cha), chb)) → new_esEs16(vwx30, vwx40, cha, chb)
new_ltEs6(vwx230, vwx233, app(ty_[], bhg)) → new_ltEs9(vwx230, vwx233, bhg)
new_esEs28(vwx229, vwx232, ty_Integer) → new_esEs22(vwx229, vwx232)
new_ltEs19(vwx1721, vwx1731, app(app(app(ty_@3, bbc), bbd), bbe)) → new_ltEs10(vwx1721, vwx1731, bbc, bbd, bbe)
new_esEs4(vwx30, vwx40, app(ty_Maybe, cgf)) → new_esEs14(vwx30, vwx40, cgf)
new_compare19(vwx271, vwx272, False, fhb, fhc) → GT
new_esEs14(Just(vwx300), Just(vwx400), ty_Int) → new_esEs24(vwx300, vwx400)
new_ltEs20(vwx1722, vwx1732, app(ty_Maybe, ge)) → new_ltEs7(vwx1722, vwx1732, ge)
new_lt22(vwx1721, vwx1731, ty_Integer) → new_lt11(vwx1721, vwx1731)
new_esEs36(vwx302, vwx402, ty_Int) → new_esEs24(vwx302, vwx402)
new_ltEs14(Right(vwx1720), Right(vwx1730), bdd, app(ty_[], bdf)) → new_ltEs9(vwx1720, vwx1730, bdf)
new_primCompAux00(vwx178, GT) → GT
new_esEs7(vwx30, vwx40, app(ty_Maybe, edb)) → new_esEs14(vwx30, vwx40, edb)
new_ltEs19(vwx1721, vwx1731, ty_Int) → new_ltEs4(vwx1721, vwx1731)
new_ltEs23(vwx242, vwx244, ty_Float) → new_ltEs15(vwx242, vwx244)
new_ltEs24(vwx172, vwx173, app(app(app(ty_@3, fb), dh), ea)) → new_ltEs10(vwx172, vwx173, fb, dh, ea)
new_compare8(Char(vwx30), Char(vwx40)) → new_primCmpNat0(vwx30, vwx40)
new_esEs4(vwx30, vwx40, ty_Bool) → new_esEs17(vwx30, vwx40)
new_esEs7(vwx30, vwx40, app(ty_[], edg)) → new_esEs18(vwx30, vwx40, edg)
new_esEs34(vwx300, vwx400, ty_Ordering) → new_esEs19(vwx300, vwx400)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs39(vwx241, vwx243, ty_@0) → new_esEs25(vwx241, vwx243)
new_esEs5(vwx32, vwx42, app(app(ty_Either, ehc), ehd)) → new_esEs15(vwx32, vwx42, ehc, ehd)
new_esEs35(vwx300, vwx400, app(app(app(ty_@3, fbc), fbd), fbe)) → new_esEs12(vwx300, vwx400, fbc, fbd, fbe)
new_esEs33(vwx301, vwx401, ty_@0) → new_esEs25(vwx301, vwx401)
new_esEs4(vwx30, vwx40, ty_Int) → new_esEs24(vwx30, vwx40)
new_esEs8(vwx31, vwx41, app(app(app(ty_@3, dca), dcb), dcc)) → new_esEs12(vwx31, vwx41, dca, dcb, dcc)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs10(vwx30, vwx40, ty_Bool) → new_esEs17(vwx30, vwx40)
new_esEs34(vwx300, vwx400, app(app(ty_Either, ega), egb)) → new_esEs15(vwx300, vwx400, ega, egb)
new_lt10(vwx228, vwx231, beh, bfa, bfb) → new_esEs19(new_compare29(vwx228, vwx231, beh, bfa, bfb), LT)
new_primCmpInt(Neg(Succ(vwx300)), Pos(vwx40)) → LT
new_lt23(vwx241, vwx243, app(ty_Maybe, ccc)) → new_lt6(vwx241, vwx243, ccc)
new_ltEs14(Left(vwx1720), Left(vwx1730), ty_Ordering, bcc) → new_ltEs13(vwx1720, vwx1730)
new_esEs37(vwx301, vwx401, ty_Integer) → new_esEs22(vwx301, vwx401)
new_compare34(vwx30, vwx40, ty_Bool) → new_compare15(vwx30, vwx40)
new_ltEs19(vwx1721, vwx1731, ty_Ordering) → new_ltEs13(vwx1721, vwx1731)
new_not(True) → False
new_esEs31(vwx1721, vwx1731, ty_Int) → new_esEs24(vwx1721, vwx1731)
new_esEs15(Left(vwx300), Left(vwx400), app(app(app(ty_@3, dgb), dgc), dgd), cgh) → new_esEs12(vwx300, vwx400, dgb, dgc, dgd)

The set Q consists of the following terms:

new_lt20(x0, x1, ty_Bool)
new_esEs36(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, ty_Integer)
new_ltEs12(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs15(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs4(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Char)
new_esEs22(Integer(x0), Integer(x1))
new_esEs8(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Integer)
new_pePe(True, x0)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs38(x0, x1, ty_Integer)
new_lt21(x0, x1, ty_Integer)
new_esEs5(x0, x1, ty_@0)
new_compare34(x0, x1, app(ty_[], x2))
new_esEs15(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_compare14(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(Right(x0), Right(x1), x2, ty_Char)
new_ltEs19(x0, x1, app(ty_[], x2))
new_ltEs23(x0, x1, ty_Float)
new_esEs21(Float(x0, x1), Float(x2, x3))
new_ltEs19(x0, x1, ty_Float)
new_compare34(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs6(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs15(Left(x0), Left(x1), ty_Int, x2)
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs37(x0, x1, ty_Integer)
new_lt5(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Int)
new_ltEs7(Just(x0), Just(x1), ty_Int)
new_esEs38(x0, x1, ty_Char)
new_primMulInt(Neg(x0), Neg(x1))
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_lt4(x0, x1, ty_Int)
new_ltEs16(x0, x1)
new_esEs11(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Ordering, x2)
new_compare33(Just(x0), Nothing, x1)
new_esEs36(x0, x1, ty_Char)
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, ty_Char)
new_lt4(x0, x1, app(ty_[], x2))
new_compare0([], :(x0, x1), x2)
new_esEs10(x0, x1, ty_Ordering)
new_primPlusNat0(Zero, x0)
new_esEs23(Char(x0), Char(x1))
new_compare13(x0, x1, True, x2)
new_esEs29(x0, x1, ty_Float)
new_ltEs20(x0, x1, ty_Double)
new_primCmpNat0(Succ(x0), Zero)
new_esEs15(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs7(Nothing, Just(x0), x1)
new_esEs38(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs24(x0, x1, ty_Char)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs6(x0, x1, ty_Float)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, ty_Integer)
new_esEs15(Left(x0), Left(x1), ty_Double, x2)
new_lt4(x0, x1, ty_Float)
new_compare34(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Int)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt5(x0, x1, app(ty_Maybe, x2))
new_ltEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs39(x0, x1, ty_Double)
new_esEs35(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Int)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs37(x0, x1, ty_Float)
new_primCompAux0(x0, x1, x2, x3)
new_lt7(x0, x1)
new_lt22(x0, x1, ty_Bool)
new_esEs35(x0, x1, ty_Bool)
new_esEs24(x0, x1)
new_primCmpNat0(Succ(x0), Succ(x1))
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_ltEs20(x0, x1, ty_Bool)
new_compare12(x0, x1, x2, x3, True, x4, x5)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs38(x0, x1, app(ty_Maybe, x2))
new_ltEs7(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, ty_Double)
new_esEs17(False, False)
new_esEs6(x0, x1, ty_@0)
new_compare33(Just(x0), Just(x1), x2)
new_ltEs6(x0, x1, ty_Double)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs5(False, False)
new_esEs10(x0, x1, ty_@0)
new_esEs14(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs38(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Bool)
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare34(x0, x1, ty_Bool)
new_esEs14(Just(x0), Just(x1), ty_Int)
new_esEs32(x0, x1, ty_Char)
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Char)
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare19(x0, x1, False, x2, x3)
new_ltEs23(x0, x1, ty_Integer)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_esEs31(x0, x1, ty_Char)
new_esEs33(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_Int)
new_esEs7(x0, x1, ty_Int)
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Int)
new_lt5(x0, x1, ty_Double)
new_lt19(x0, x1, x2)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs39(x0, x1, ty_Ordering)
new_lt22(x0, x1, app(ty_Ratio, x2))
new_compare14(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt17(x0, x1)
new_ltEs6(x0, x1, ty_@0)
new_primEqNat0(Zero, Zero)
new_esEs10(x0, x1, ty_Double)
new_esEs37(x0, x1, ty_@0)
new_esEs31(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, True, x2, x3)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs34(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Ordering)
new_lt12(x0, x1, x2, x3)
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs37(x0, x1, app(ty_Ratio, x2))
new_esEs39(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_[], x2))
new_ltEs13(EQ, EQ)
new_ltEs20(x0, x1, ty_Integer)
new_lt4(x0, x1, ty_Ordering)
new_compare210(x0, x1, False, x2)
new_esEs39(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs24(x0, x1, ty_Ordering)
new_esEs6(x0, x1, app(ty_[], x2))
new_compare6(Right(x0), Left(x1), x2, x3)
new_compare6(Left(x0), Right(x1), x2, x3)
new_esEs34(x0, x1, ty_Int)
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs6(x0, x1, ty_Char)
new_primMulNat0(Zero, Zero)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1, x2)
new_lt23(x0, x1, ty_Int)
new_lt4(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs36(x0, x1, ty_Int)
new_esEs31(x0, x1, ty_Float)
new_compare27(x0, x1, x2, x3, True, x4, x5)
new_ltEs24(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt4(x0, x1, ty_@0)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_compare6(Left(x0), Left(x1), x2, x3)
new_ltEs22(x0, x1, ty_Bool)
new_compare12(x0, x1, x2, x3, False, x4, x5)
new_esEs32(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_@0)
new_compare18(LT, LT)
new_lt5(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_compare18(LT, EQ)
new_compare18(EQ, LT)
new_esEs34(x0, x1, ty_@0)
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Double)
new_ltEs22(x0, x1, ty_@0)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs39(x0, x1, app(ty_Maybe, x2))
new_compare8(Char(x0), Char(x1))
new_ltEs13(EQ, LT)
new_ltEs13(LT, EQ)
new_esEs11(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Double)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Left(x0), Left(x1), ty_Int, x2)
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_esEs19(LT, LT)
new_esEs15(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs9(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs19(EQ, GT)
new_esEs19(GT, EQ)
new_esEs31(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs28(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Ordering)
new_compare7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs26(x0, x1, ty_Integer)
new_compare32(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, ty_Int)
new_esEs34(x0, x1, ty_Float)
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_lt22(x0, x1, ty_Char)
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs8(x0, x1)
new_pePe(False, x0)
new_ltEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare25(x0, x1, True, x2, x3)
new_esEs15(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, ty_@0)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs37(x0, x1, ty_Int)
new_compare25(x0, x1, False, x2, x3)
new_esEs8(x0, x1, ty_Float)
new_lt23(x0, x1, ty_Float)
new_esEs15(Left(x0), Left(x1), ty_Char, x2)
new_esEs32(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Double)
new_esEs15(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare0([], [], x0)
new_esEs35(x0, x1, ty_Ordering)
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs6(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Bool)
new_esEs34(x0, x1, ty_Bool)
new_compare15(True, True)
new_compare16(@0, @0)
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_esEs14(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs7(x0, x1, ty_Double)
new_compare18(GT, LT)
new_compare18(LT, GT)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs15(Left(x0), Left(x1), ty_Float, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare26(x0, x1, False, x2, x3)
new_esEs15(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare34(x0, x1, ty_Int)
new_esEs34(x0, x1, ty_Ordering)
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_lt15(x0, x1)
new_ltEs23(x0, x1, app(ty_[], x2))
new_esEs38(x0, x1, app(app(ty_Either, x2), x3))
new_compare34(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Right(x0), Right(x1), x2, ty_Float)
new_ltEs21(x0, x1, ty_Bool)
new_primCompAux00(x0, LT)
new_esEs10(x0, x1, app(ty_[], x2))
new_lt21(x0, x1, ty_Ordering)
new_esEs36(x0, x1, ty_@0)
new_esEs5(x0, x1, ty_Ordering)
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs20(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Int)
new_compare18(GT, GT)
new_ltEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt22(x0, x1, ty_Double)
new_lt21(x0, x1, ty_Char)
new_esEs31(x0, x1, ty_Double)
new_esEs14(Just(x0), Just(x1), app(ty_Maybe, x2))
new_primEqNat0(Succ(x0), Zero)
new_ltEs14(Right(x0), Right(x1), x2, ty_@0)
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs13(Double(x0, x1), Double(x2, x3))
new_primPlusNat1(Zero, Zero)
new_ltEs19(x0, x1, ty_@0)
new_compare29(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(x0, x1, ty_Int)
new_ltEs14(Right(x0), Right(x1), x2, ty_Double)
new_esEs28(x0, x1, ty_Ordering)
new_esEs7(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs38(x0, x1, ty_Float)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs6(x0, x1, ty_Double)
new_esEs28(x0, x1, ty_Integer)
new_lt22(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Int)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs15(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs32(x0, x1, ty_Ordering)
new_esEs38(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Char)
new_lt22(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs37(x0, x1, ty_Char)
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Bool)
new_esEs14(Just(x0), Just(x1), ty_Char)
new_compare5(x0, x1)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_compare17(x0, x1, False, x2, x3)
new_esEs15(Right(x0), Right(x1), x2, ty_Integer)
new_compare11(x0, x1, x2, x3, False, x4, x5, x6)
new_esEs7(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Double)
new_lt20(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_Double)
new_esEs38(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs24(x0, x1, ty_Double)
new_esEs28(x0, x1, ty_Float)
new_lt6(x0, x1, x2)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Float)
new_primMulNat0(Zero, Succ(x0))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Bool)
new_lt16(x0, x1)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs37(x0, x1, app(ty_Maybe, x2))
new_esEs37(x0, x1, app(app(ty_@2, x2), x3))
new_fsEs(x0)
new_ltEs7(Just(x0), Just(x1), ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs13(GT, EQ)
new_ltEs13(EQ, GT)
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, ty_Float)
new_lt23(x0, x1, ty_Char)
new_compare28(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs4(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Float)
new_compare10(x0, x1, x2, x3, x4, x5, True, x6, x7, x8, x9)
new_compare34(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat0(Succ(x0), x1)
new_esEs4(x0, x1, ty_Integer)
new_esEs9(x0, x1, app(ty_[], x2))
new_lt4(x0, x1, ty_Bool)
new_ltEs22(x0, x1, ty_Char)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs33(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Int)
new_esEs39(x0, x1, ty_Integer)
new_ltEs24(x0, x1, ty_@0)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs14(Right(x0), Right(x1), x2, ty_Int)
new_lt18(x0, x1)
new_ltEs14(Right(x0), Right(x1), x2, ty_Ordering)
new_lt20(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Float)
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_lt4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs15(Right(x0), Right(x1), x2, ty_Bool)
new_esEs31(x0, x1, ty_Bool)
new_esEs34(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_Bool)
new_compare27(x0, x1, x2, x3, False, x4, x5)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(LT, GT)
new_ltEs13(GT, LT)
new_compare34(x0, x1, ty_Double)
new_esEs6(x0, x1, ty_Bool)
new_esEs37(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Bool)
new_ltEs14(Left(x0), Left(x1), ty_@0, x2)
new_ltEs23(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs7(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, ty_Bool)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs15(Right(x0), Right(x1), x2, ty_@0)
new_lt22(x0, x1, ty_Int)
new_ltEs11(x0, x1)
new_compare17(x0, x1, True, x2, x3)
new_esEs38(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, ty_Ordering)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs35(x0, x1, ty_Float)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_esEs32(x0, x1, ty_@0)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare19(x0, x1, True, x2, x3)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs14(Just(x0), Just(x1), ty_Float)
new_ltEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_lt4(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs15(Right(x0), Right(x1), x2, ty_Double)
new_esEs15(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_sr0(Integer(x0), Integer(x1))
new_esEs15(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Bool)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, ty_Float)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(x0, x1, ty_Char)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs18([], [], x0)
new_lt4(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs22(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(Just(x0), Just(x1), ty_@0)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_lt21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Float)
new_esEs33(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Float)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_ltEs4(x0, x1)
new_esEs35(x0, x1, ty_@0)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs15(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs14(Nothing, Nothing, x0)
new_lt4(x0, x1, app(app(ty_Either, x2), x3))
new_lt23(x0, x1, app(ty_[], x2))
new_ltEs7(Just(x0), Just(x1), ty_Double)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, ty_Char)
new_compare11(x0, x1, x2, x3, True, x4, x5, x6)
new_esEs14(Just(x0), Just(x1), ty_Bool)
new_ltEs6(x0, x1, ty_Int)
new_esEs5(x0, x1, ty_Int)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs14(Nothing, Just(x0), x1)
new_esEs4(x0, x1, ty_Ordering)
new_ltEs24(x0, x1, ty_Integer)
new_ltEs7(Just(x0), Nothing, x1)
new_esEs10(x0, x1, ty_Int)
new_ltEs17(x0, x1)
new_esEs28(x0, x1, ty_Double)
new_compare34(x0, x1, ty_Char)
new_asAs(True, x0)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs33(x0, x1, ty_@0)
new_esEs37(x0, x1, ty_Bool)
new_esEs15(Left(x0), Left(x1), ty_Bool, x2)
new_esEs4(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs7(Just(x0), Just(x1), ty_Float)
new_compare6(Right(x0), Right(x1), x2, x3)
new_ltEs22(x0, x1, ty_Ordering)
new_esEs39(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Left(x0), Right(x1), x2, x3)
new_ltEs14(Right(x0), Left(x1), x2, x3)
new_compare34(x0, x1, ty_Ordering)
new_ltEs24(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Ordering)
new_compare0(:(x0, x1), [], x2)
new_esEs4(x0, x1, ty_Char)
new_lt23(x0, x1, app(ty_Ratio, x2))
new_lt23(x0, x1, ty_Ordering)
new_primCmpNat0(Zero, Zero)
new_ltEs23(x0, x1, ty_Char)
new_compare15(False, True)
new_compare15(True, False)
new_ltEs23(x0, x1, ty_Double)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Integer)
new_esEs18([], :(x0, x1), x2)
new_esEs39(x0, x1, ty_Char)
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, app(ty_[], x2))
new_esEs5(x0, x1, ty_Double)
new_ltEs23(x0, x1, ty_Int)
new_esEs38(x0, x1, ty_@0)
new_ltEs13(LT, LT)
new_esEs35(x0, x1, ty_Char)
new_ltEs14(Left(x0), Left(x1), ty_Float, x2)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Just(x0), Just(x1), ty_Char)
new_ltEs7(Just(x0), Just(x1), ty_Bool)
new_esEs8(x0, x1, ty_Char)
new_ltEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs14(Just(x0), Just(x1), ty_Double)
new_ltEs24(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Float)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs7(x0, x1, ty_Bool)
new_lt14(x0, x1, x2, x3)
new_ltEs22(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Char)
new_ltEs10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs19(GT, GT)
new_lt5(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Char)
new_ltEs14(Right(x0), Right(x1), x2, ty_Char)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_sr(x0, x1)
new_ltEs19(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_lt5(x0, x1, ty_Bool)
new_compare34(x0, x1, ty_Integer)
new_primEqNat0(Zero, Succ(x0))
new_esEs35(x0, x1, ty_Int)
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_lt21(x0, x1, app(ty_Ratio, x2))
new_esEs33(x0, x1, ty_Int)
new_esEs14(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs19(EQ, EQ)
new_lt21(x0, x1, ty_@0)
new_esEs8(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs13(GT, GT)
new_asAs(False, x0)
new_compare18(EQ, GT)
new_compare18(GT, EQ)
new_esEs5(x0, x1, ty_Char)
new_primMulNat0(Succ(x0), Zero)
new_lt20(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_[], x2))
new_ltEs23(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_@0)
new_esEs19(EQ, LT)
new_esEs19(LT, EQ)
new_ltEs14(Left(x0), Left(x1), ty_Char, x2)
new_esEs27(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(ty_[], x2))
new_ltEs5(True, True)
new_esEs30(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, app(ty_Maybe, x2))
new_esEs14(Just(x0), Just(x1), ty_Ordering)
new_esEs14(Just(x0), Nothing, x1)
new_not(True)
new_esEs38(x0, x1, ty_Double)
new_esEs19(LT, GT)
new_esEs19(GT, LT)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Double)
new_compare10(x0, x1, x2, x3, x4, x5, False, x6, x7, x8, x9)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_esEs11(x0, x1, ty_Float)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_not(False)
new_esEs9(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, GT)
new_esEs39(x0, x1, ty_@0)
new_ltEs9(x0, x1, x2)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs33(x0, x1, ty_Ordering)
new_compare31(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs7(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs6(x0, x1, ty_Ordering)
new_esEs4(x0, x1, ty_@0)
new_compare30(Float(x0, x1), Float(x2, x3))
new_esEs8(x0, x1, ty_@0)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqNat0(Succ(x0), Succ(x1))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs4(x0, x1, ty_Float)
new_ltEs15(x0, x1)
new_lt4(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Int)
new_esEs14(Just(x0), Just(x1), ty_Integer)
new_lt10(x0, x1, x2, x3, x4)
new_esEs15(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs15(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs5(x0, x1, ty_Integer)
new_lt13(x0, x1)
new_esEs37(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Double)
new_esEs35(x0, x1, ty_Integer)
new_lt4(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_Integer)
new_compare33(Nothing, Just(x0), x1)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs37(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs14(Left(x0), Left(x1), ty_Bool, x2)
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_compare34(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs37(x0, x1, ty_Double)
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, ty_Ordering)
new_esEs34(x0, x1, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_esEs15(Right(x0), Right(x1), x2, ty_Int)
new_esEs6(x0, x1, ty_Integer)
new_esEs15(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1)
new_esEs31(x0, x1, ty_Integer)
new_ltEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs9(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_@0)
new_esEs25(@0, @0)
new_lt21(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, x2)
new_ltEs7(Nothing, Nothing, x0)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs17(True, False)
new_esEs17(False, True)
new_lt11(x0, x1)
new_esEs28(x0, x1, ty_Bool)
new_esEs38(x0, x1, ty_Int)
new_ltEs23(x0, x1, ty_Bool)
new_compare28(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs24(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Integer)
new_esEs6(x0, x1, ty_Float)
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_compare15(False, False)
new_lt21(x0, x1, app(ty_Maybe, x2))
new_lt21(x0, x1, ty_Int)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1, ty_Char)
new_compare18(EQ, EQ)
new_esEs38(x0, x1, ty_Ordering)
new_lt5(x0, x1, ty_Float)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs14(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Just(x0), Just(x1), ty_@0)
new_compare34(x0, x1, ty_@0)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_esEs17(True, True)
new_lt20(x0, x1, ty_Int)
new_esEs15(Right(x0), Right(x1), x2, ty_Float)
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_[], x2))
new_compare33(Nothing, Nothing, x0)
new_ltEs14(Right(x0), Right(x1), x2, ty_Integer)
new_esEs30(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_compare9(Double(x0, x1), Double(x2, x3))
new_ltEs14(Left(x0), Left(x1), ty_Double, x2)
new_esEs37(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_ltEs22(x0, x1, ty_Int)
new_esEs36(x0, x1, ty_Integer)
new_lt21(x0, x1, ty_Double)
new_ltEs22(x0, x1, ty_Float)
new_ltEs5(False, True)
new_ltEs5(True, False)
new_esEs15(Left(x0), Right(x1), x2, x3)
new_esEs15(Right(x0), Left(x1), x2, x3)
new_esEs7(x0, x1, ty_Float)
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_compare13(x0, x1, False, x2)
new_ltEs19(x0, x1, ty_Char)
new_primCompAux00(x0, EQ)
new_esEs39(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Integer)
new_esEs12(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs28(x0, x1, ty_Char)
new_lt5(x0, x1, ty_@0)
new_esEs39(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, ty_Ordering)
new_esEs15(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))

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

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