YES 8.841 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
  ((maximum :: Ord a => [a]  ->  a) :: Ord a => [a]  ->  a)

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
  ((maximum :: Ord a => [a]  ->  a) :: Ord a => [a]  ->  a)

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
  ((maximum :: Ord a => [a]  ->  a) :: Ord a => [a]  ->  a)

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
  ((maximum :: Ord a => [a]  ->  a) :: Ord a => [a]  ->  a)

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

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

compare0 x y True = GT

compare3 x y = compare2 x y (x == y)

The following Function with conditions
max x y
 | x <= y
 = y
 | otherwise
 = x

is transformed to
max x y = max2 x y

max0 x y True = x

max1 x y True = y
max1 x y False = max0 x y otherwise

max2 x y = max1 x y (x <= y)

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

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

gcd'0 x y = gcd' y (x `rem` y)

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

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

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

is transformed to
gcd vux vuy = gcd3 vux vuy
gcd x y = gcd0 x y

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

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

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

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

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

is transformed to
absReal x = absReal2 x

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

absReal0 x True = `negate` x

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False

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

is transformed to
reduce x y = reduce2 x y

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



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

mainModule Main
  ((maximum :: Ord a => [a]  ->  a) :: Ord a => [a]  ->  a)

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

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

reduce2D vwv vww = gcd 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' x zx = gcd0Gcd'2 x zx
gcd0Gcd' x y = gcd0Gcd'0 x y

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'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
  ((maximum :: Ord a => [a]  ->  a) :: Ord a => [a]  ->  a)

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
  (maximum :: Ord a => [a]  ->  a)

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
                              ↳ QDP

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

new_primEqNat(Succ(vwx1000), Succ(vwx1200)) → new_primEqNat(vwx1000, vwx1200)

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
                              ↳ QDP

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

new_primPlusNat(Succ(vwx25800), Succ(vwx3101000)) → new_primPlusNat(vwx25800, vwx3101000)

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
                              ↳ QDP

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

new_primMulNat(Succ(vwx30000), Succ(vwx310100)) → new_primMulNat(vwx30000, Succ(vwx310100))

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
                              ↳ QDP

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

new_primCmpNat(Succ(vwx30000), Succ(vwx310000)) → new_primCmpNat(vwx30000, vwx310000)

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
                              ↳ QDP

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

new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), app(app(ty_Either, bbh), bca), bcb) → new_esEs(vwx1420, vwx1430, bbh, bca)
new_esEs3(:(vwx1420, vwx1421), :(vwx1430, vwx1431), app(app(ty_Either, bdc), bdd)) → new_esEs(vwx1420, vwx1430, bdc, bdd)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, app(ty_Maybe, fh), fc) → new_esEs1(vwx1421, vwx1431, fh)
new_esEs3(:(vwx1420, vwx1421), :(vwx1430, vwx1431), app(ty_Maybe, bdh)) → new_esEs1(vwx1420, vwx1430, bdh)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), app(app(ty_Either, gd), ge), dg, fc) → new_esEs(vwx1420, vwx1430, gd, ge)
new_esEs1(Just(vwx1420), Just(vwx1430), app(app(ty_Either, he), hf)) → new_esEs(vwx1420, vwx1430, he, hf)
new_esEs3(:(vwx1420, vwx1421), :(vwx1430, vwx1431), app(ty_[], bec)) → new_esEs3(vwx1420, vwx1430, bec)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, dg, app(ty_[], eh)) → new_esEs3(vwx1422, vwx1432, eh)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), baf, app(ty_Maybe, bbd)) → new_esEs1(vwx1421, vwx1431, bbd)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), baf, app(app(ty_@2, bbe), bbf)) → new_esEs2(vwx1421, vwx1431, bbe, bbf)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, app(app(ty_@2, ga), gb), fc) → new_esEs2(vwx1421, vwx1431, ga, gb)
new_esEs1(Just(vwx1420), Just(vwx1430), app(app(app(ty_@3, hg), hh), baa)) → new_esEs0(vwx1420, vwx1430, hg, hh, baa)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), app(ty_Maybe, bcf), bcb) → new_esEs1(vwx1420, vwx1430, bcf)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, dg, app(app(ty_Either, dh), ea)) → new_esEs(vwx1422, vwx1432, dh, ea)
new_esEs(Right(vwx1420), Right(vwx1430), cc, app(app(app(ty_@3, cf), cg), da)) → new_esEs0(vwx1420, vwx1430, cf, cg, da)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), app(ty_[], hd), dg, fc) → new_esEs3(vwx1420, vwx1430, hd)
new_esEs3(:(vwx1420, vwx1421), :(vwx1430, vwx1431), app(app(app(ty_@3, bde), bdf), bdg)) → new_esEs0(vwx1420, vwx1430, bde, bdf, bdg)
new_esEs1(Just(vwx1420), Just(vwx1430), app(ty_[], bae)) → new_esEs3(vwx1420, vwx1430, bae)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), app(app(ty_@2, bcg), bch), bcb) → new_esEs2(vwx1420, vwx1430, bcg, bch)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, app(app(app(ty_@3, fd), ff), fg), fc) → new_esEs0(vwx1421, vwx1431, fd, ff, fg)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), app(app(ty_@2, hb), hc), dg, fc) → new_esEs2(vwx1420, vwx1430, hb, hc)
new_esEs(Left(vwx1420), Left(vwx1430), app(app(app(ty_@3, bd), be), bf), bc) → new_esEs0(vwx1420, vwx1430, bd, be, bf)
new_esEs3(:(vwx1420, vwx1421), :(vwx1430, vwx1431), bdb) → new_esEs3(vwx1421, vwx1431, bdb)
new_esEs(Left(vwx1420), Left(vwx1430), app(ty_[], cb), bc) → new_esEs3(vwx1420, vwx1430, cb)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, app(ty_[], gc), fc) → new_esEs3(vwx1421, vwx1431, gc)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, dg, app(app(ty_@2, ef), eg)) → new_esEs2(vwx1422, vwx1432, ef, eg)
new_esEs(Right(vwx1420), Right(vwx1430), cc, app(app(ty_Either, cd), ce)) → new_esEs(vwx1420, vwx1430, cd, ce)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), baf, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs0(vwx1421, vwx1431, bba, bbb, bbc)
new_esEs(Right(vwx1420), Right(vwx1430), cc, app(ty_[], de)) → new_esEs3(vwx1420, vwx1430, de)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, dg, app(app(app(ty_@3, eb), ec), ed)) → new_esEs0(vwx1422, vwx1432, eb, ec, ed)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, dg, app(ty_Maybe, ee)) → new_esEs1(vwx1422, vwx1432, ee)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), app(ty_[], bda), bcb) → new_esEs3(vwx1420, vwx1430, bda)
new_esEs(Left(vwx1420), Left(vwx1430), app(app(ty_@2, bh), ca), bc) → new_esEs2(vwx1420, vwx1430, bh, ca)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), app(app(app(ty_@3, bcc), bcd), bce), bcb) → new_esEs0(vwx1420, vwx1430, bcc, bcd, bce)
new_esEs(Left(vwx1420), Left(vwx1430), app(ty_Maybe, bg), bc) → new_esEs1(vwx1420, vwx1430, bg)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), baf, app(app(ty_Either, bag), bah)) → new_esEs(vwx1421, vwx1431, bag, bah)
new_esEs1(Just(vwx1420), Just(vwx1430), app(ty_Maybe, bab)) → new_esEs1(vwx1420, vwx1430, bab)
new_esEs1(Just(vwx1420), Just(vwx1430), app(app(ty_@2, bac), bad)) → new_esEs2(vwx1420, vwx1430, bac, bad)
new_esEs2(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), baf, app(ty_[], bbg)) → new_esEs3(vwx1421, vwx1431, bbg)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), df, app(app(ty_Either, fa), fb), fc) → new_esEs(vwx1421, vwx1431, fa, fb)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), app(ty_Maybe, ha), dg, fc) → new_esEs1(vwx1420, vwx1430, ha)
new_esEs3(:(vwx1420, vwx1421), :(vwx1430, vwx1431), app(app(ty_@2, bea), beb)) → new_esEs2(vwx1420, vwx1430, bea, beb)
new_esEs(Right(vwx1420), Right(vwx1430), cc, app(ty_Maybe, db)) → new_esEs1(vwx1420, vwx1430, db)
new_esEs(Right(vwx1420), Right(vwx1430), cc, app(app(ty_@2, dc), dd)) → new_esEs2(vwx1420, vwx1430, dc, dd)
new_esEs0(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), app(app(app(ty_@3, gf), gg), gh), dg, fc) → new_esEs0(vwx1420, vwx1430, gf, gg, gh)
new_esEs(Left(vwx1420), Left(vwx1430), app(app(ty_Either, ba), bb), bc) → new_esEs(vwx1420, vwx1430, ba, bb)

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

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



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

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

new_lt2(:(vwx3000, vwx3001), :(vwx31000, vwx31001), bfa) → new_primCompAux(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, bfa), bfa)
new_primCompAux(vwx300, vwx3100, vwx186, app(app(ty_@2, hf), hg)) → new_compare2(vwx300, vwx3100, new_esEs4(vwx300, vwx3100, hf, hg), hf, hg)
new_compare2(vwx300, vwx3100, False, hf, hg) → new_ltEs(vwx300, vwx3100, hf, hg)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(app(app(ty_@3, fh), ga), gb)) → new_ltEs3(vwx3000, vwx31000, fh, ga, gb)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(app(app(ty_@3, ee), ef), eg), dh) → new_ltEs3(vwx3000, vwx31000, ee, ef, eg)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(ty_[], db), ce) → new_lt2(vwx3000, vwx31000, db)
new_lt1(Just(vwx3000), Just(vwx31000), beh) → new_compare21(Just(vwx3000), Just(vwx31000), new_esEs12(vwx3000, vwx31000, beh), beh)
new_lt0(Right(vwx3000), Left(vwx31000), bef, beg) → new_compare20(Right(vwx3000), Left(vwx31000), False, bef, beg)
new_lt0(Left(vwx3000), Right(vwx31000), bef, beg) → new_compare20(Left(vwx3000), Right(vwx31000), False, bef, beg)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(ty_[], bcg), bcc) → new_lt2(vwx3001, vwx31001, bcg)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(app(app(ty_@3, dc), dd), de), ce) → new_lt3(vwx3000, vwx31000, dc, dd, de)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(app(ty_@2, bdc), bdd), bag, bcc) → new_lt(vwx3000, vwx31000, bdc, bdd)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(ty_Maybe, gg)) → new_ltEs1(vwx3000, vwx31000, gg)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(ty_[], bdh), bag, bcc) → new_lt2(vwx3000, vwx31000, bdh)
new_compare22(vwx300, vwx3100, False, bac, bad, bae) → new_ltEs3(vwx300, vwx3100, bac, bad, bae)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(app(ty_Either, ea), eb), dh) → new_ltEs0(vwx3000, vwx31000, ea, eb)
new_lt3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), bfb, bfc, bfd) → new_compare22(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), new_asAs(new_esEs15(vwx3000, vwx31000, bfb), new_asAs(new_esEs14(vwx3001, vwx31001, bfc), new_esEs13(vwx3002, vwx31002, bfd))), bfb, bfc, bfd)
new_lt(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), bed, bee) → new_compare2(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), new_asAs(new_esEs9(vwx3000, vwx31000, bed), new_esEs8(vwx3001, vwx31001, bee)), bed, bee)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(ty_[], bbe)) → new_ltEs2(vwx3002, vwx31002, bbe)
new_primCompAux(vwx300, vwx3100, vwx186, app(ty_[], he)) → new_compare(vwx300, vwx3100, he)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(app(ty_@2, cc), cd), ce) → new_lt(vwx3000, vwx31000, cc, cd)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(app(ty_Either, ge), gf)) → new_ltEs0(vwx3000, vwx31000, ge, gf)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(app(ty_Either, bbb), bbc)) → new_ltEs0(vwx3002, vwx31002, bbb, bbc)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(app(app(ty_@3, ha), hb), hc)) → new_ltEs3(vwx3000, vwx31000, ha, hb, hc)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(app(ty_@2, fa), fb)) → new_ltEs(vwx3000, vwx31000, fa, fb)
new_ltEs2(vwx300, vwx3100, hd) → new_compare(vwx300, vwx3100, hd)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(ty_Maybe, bbd)) → new_ltEs1(vwx3002, vwx31002, bbd)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(ty_Maybe, da), ce) → new_lt1(vwx3000, vwx31000, da)
new_compare20(vwx300, vwx3100, False, hh, baa) → new_ltEs0(vwx300, vwx3100, hh, baa)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(app(ty_@2, df), dg), dh) → new_ltEs(vwx3000, vwx31000, df, dg)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(app(app(ty_@3, bh), ca), cb)) → new_ltEs3(vwx3001, vwx31001, bh, ca, cb)
new_lt1(Just(vwx3000), Nothing, beh) → new_compare21(Just(vwx3000), Nothing, False, beh)
new_lt1(Nothing, Just(vwx31000), beh) → new_compare21(Nothing, Just(vwx31000), False, beh)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(ty_[], ed), dh) → new_ltEs2(vwx3000, vwx31000, ed)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(app(ty_@2, bah), bba)) → new_ltEs(vwx3002, vwx31002, bah, bba)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(app(ty_Either, fc), fd)) → new_ltEs0(vwx3000, vwx31000, fc, fd)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(app(ty_@2, bca), bcb), bcc) → new_lt(vwx3001, vwx31001, bca, bcb)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(app(app(ty_@3, bbf), bbg), bbh)) → new_ltEs3(vwx3002, vwx31002, bbf, bbg, bbh)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(ty_Maybe, bcf), bcc) → new_lt1(vwx3001, vwx31001, bcf)
new_primCompAux(vwx300, vwx3100, vwx186, app(ty_Maybe, bab)) → new_compare21(vwx300, vwx3100, new_esEs6(vwx300, vwx3100, bab), bab)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(app(ty_Either, cf), cg), ce) → new_lt0(vwx3000, vwx31000, cf, cg)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(app(app(ty_@3, bea), beb), bec), bag, bcc) → new_lt3(vwx3000, vwx31000, bea, beb, bec)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(ty_Maybe, bdg), bag, bcc) → new_lt1(vwx3000, vwx31000, bdg)
new_compare(:(vwx3000, vwx3001), :(vwx31000, vwx31001), he) → new_compare(vwx3001, vwx31001, he)
new_compare(:(vwx3000, vwx3001), :(vwx31000, vwx31001), he) → new_primCompAux(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, he), he)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(app(ty_@2, bb), bc)) → new_ltEs(vwx3001, vwx31001, bb, bc)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(ty_Maybe, bf)) → new_ltEs1(vwx3001, vwx31001, bf)
new_lt2(:(vwx3000, vwx3001), :(vwx31000, vwx31001), bfa) → new_compare(vwx3001, vwx31001, bfa)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(app(app(ty_@3, bch), bda), bdb), bcc) → new_lt3(vwx3001, vwx31001, bch, bda, bdb)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(ty_[], bg)) → new_ltEs2(vwx3001, vwx31001, bg)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(app(ty_Either, bcd), bce), bcc) → new_lt0(vwx3001, vwx31001, bcd, bce)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(app(ty_@2, gc), gd)) → new_ltEs(vwx3000, vwx31000, gc, gd)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(app(ty_Either, bd), be)) → new_ltEs0(vwx3001, vwx31001, bd, be)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(ty_[], fg)) → new_ltEs2(vwx3000, vwx31000, fg)
new_lt0(Right(vwx3000), Right(vwx31000), bef, beg) → new_compare20(Right(vwx3000), Right(vwx31000), new_esEs11(vwx3000, vwx31000, beg), bef, beg)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(ty_[], gh)) → new_ltEs2(vwx3000, vwx31000, gh)
new_primCompAux(vwx300, vwx3100, vwx186, app(app(app(ty_@3, bac), bad), bae)) → new_compare22(vwx300, vwx3100, new_esEs7(vwx300, vwx3100, bac, bad, bae), bac, bad, bae)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(app(ty_Either, bde), bdf), bag, bcc) → new_lt0(vwx3000, vwx31000, bde, bdf)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(ty_Maybe, ff)) → new_ltEs1(vwx3000, vwx31000, ff)
new_lt0(Left(vwx3000), Left(vwx31000), bef, beg) → new_compare20(Left(vwx3000), Left(vwx31000), new_esEs10(vwx3000, vwx31000, bef), bef, beg)
new_compare21(vwx300, vwx3100, False, bab) → new_ltEs1(vwx300, vwx3100, bab)
new_lt1(Nothing, Nothing, beh) → new_compare21(Nothing, Nothing, True, beh)
new_primCompAux(vwx300, vwx3100, vwx186, app(app(ty_Either, hh), baa)) → new_compare20(vwx300, vwx3100, new_esEs5(vwx300, vwx3100, hh, baa), hh, baa)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(ty_Maybe, ec), dh) → new_ltEs1(vwx3000, vwx31000, ec)

The TRS R consists of the following rules:

new_esEs30(vwx1422, vwx1432, app(ty_Maybe, chg)) → new_esEs6(vwx1422, vwx1432, chg)
new_lt8(Left(vwx3000), Left(vwx31000), bef, beg) → new_esEs16(new_compare24(Left(vwx3000), Left(vwx31000), new_esEs10(vwx3000, vwx31000, bef), bef, beg), LT)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Ordering) → new_ltEs11(vwx3000, vwx31000)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_esEs32(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Integer, dh) → new_ltEs9(vwx3000, vwx31000)
new_ltEs11(LT, GT) → True
new_compare9(Char(vwx3000), Char(vwx31000)) → new_primCmpNat0(vwx3000, vwx31000)
new_ltEs10(False, True) → True
new_lt20(vwx3000, vwx31000, app(ty_[], bdh)) → new_lt18(vwx3000, vwx31000, bdh)
new_lt8(Right(vwx3000), Right(vwx31000), bef, beg) → new_esEs16(new_compare24(Right(vwx3000), Right(vwx31000), new_esEs11(vwx3000, vwx31000, beg), bef, beg), LT)
new_lt19(vwx3001, vwx31001, ty_Char) → new_lt4(vwx3001, vwx31001)
new_esEs10(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_esEs27(vwx142, vwx143, app(ty_Ratio, ccd)) → new_esEs18(vwx142, vwx143, ccd)
new_lt11(vwx3000, vwx31000, ty_Bool) → new_lt9(vwx3000, vwx31000)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Char) → new_esEs20(vwx1420, vwx1430)
new_lt6(Nothing, Just(vwx31000), beh) → new_esEs16(new_compare27(Nothing, Just(vwx31000), False, beh), LT)
new_lt6(Just(vwx3000), Nothing, beh) → new_esEs16(new_compare27(Just(vwx3000), Nothing, False, beh), LT)
new_primCompAux0(vwx300, vwx3100, vwx186, cch) → new_primCompAux00(vwx186, new_compare4(vwx300, vwx3100, cch))
new_esEs26(vwx1420, vwx1430, app(ty_[], caa)) → new_esEs25(vwx1420, vwx1430, caa)
new_ltEs18(vwx3001, vwx31001, app(ty_Ratio, eeh)) → new_ltEs12(vwx3001, vwx31001, eeh)
new_esEs27(vwx142, vwx143, ty_Bool) → new_esEs17(vwx142, vwx143)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Int) → new_ltEs8(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, app(ty_Ratio, efe)) → new_ltEs12(vwx3002, vwx31002, efe)
new_esEs13(vwx3002, vwx31002, app(ty_Maybe, cfc)) → new_esEs6(vwx3002, vwx31002, cfc)
new_esEs20(Char(vwx100), Char(vwx120)) → new_primEqNat0(vwx100, vwx120)
new_compare4(vwx300, vwx3100, ty_@0) → new_compare6(vwx300, vwx3100)
new_compare4(vwx300, vwx3100, ty_Int) → new_compare7(vwx300, vwx3100)
new_primMulNat0(Zero, Zero) → Zero
new_esEs11(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_compare13(vwx300, vwx3100, False, bac, bad, bae) → GT
new_ltEs18(vwx3001, vwx31001, ty_Int) → new_ltEs8(vwx3001, vwx31001)
new_esEs31(vwx1421, vwx1431, app(ty_[], dbd)) → new_esEs25(vwx1421, vwx1431, dbd)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Bool) → new_ltEs10(vwx3000, vwx31000)
new_ltEs15(Nothing, Just(vwx31000), efc) → True
new_ltEs19(vwx3002, vwx31002, app(ty_Maybe, bbd)) → new_ltEs15(vwx3002, vwx31002, bbd)
new_lt18(:(vwx3000, vwx3001), :(vwx31000, vwx31001), bfa) → new_esEs16(new_primCompAux0(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, bfa), bfa), LT)
new_esEs9(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_lt11(vwx3000, vwx31000, app(app(ty_@2, cc), cd)) → new_lt14(vwx3000, vwx31000, cc, cd)
new_esEs24(Float(vwx100, vwx101), Float(vwx120, vwx121)) → new_esEs19(new_sr(vwx100, vwx120), new_sr(vwx101, vwx121))
new_esEs13(vwx3002, vwx31002, ty_Integer) → new_esEs23(vwx3002, vwx31002)
new_esEs34(vwx1420, vwx1430, app(app(ty_Either, dhh), eaa)) → new_esEs5(vwx1420, vwx1430, dhh, eaa)
new_ltEs19(vwx3002, vwx31002, ty_Integer) → new_ltEs9(vwx3002, vwx31002)
new_esEs26(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_esEs13(vwx3002, vwx31002, ty_Double) → new_esEs22(vwx3002, vwx31002)
new_lt9(False, False) → new_esEs16(new_compare25(False, False, True), LT)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_esEs32(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_lt15(Neg(Zero), Neg(Zero)) → new_esEs16(EQ, LT)
new_esEs17(True, True) → True
new_ltEs16(vwx300, vwx3100, hd) → new_not(new_esEs16(new_compare0(vwx300, vwx3100, hd), GT))
new_esEs32(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_lt6(Nothing, Nothing, beh) → new_esEs16(new_compare27(Nothing, Nothing, True, beh), LT)
new_esEs32(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_esEs28(vwx101, vwx121, ty_Integer) → new_esEs23(vwx101, vwx121)
new_compare0(:(vwx3000, vwx3001), :(vwx31000, vwx31001), he) → new_primCompAux0(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, he), he)
new_esEs32(vwx1420, vwx1430, app(app(ty_@2, dcd), dce)) → new_esEs4(vwx1420, vwx1430, dcd, dce)
new_esEs15(vwx3000, vwx31000, app(app(ty_@2, cea), ceb)) → new_esEs4(vwx3000, vwx31000, cea, ceb)
new_lt8(Left(vwx3000), Right(vwx31000), bef, beg) → new_esEs16(new_compare24(Left(vwx3000), Right(vwx31000), False, bef, beg), LT)
new_lt8(Right(vwx3000), Left(vwx31000), bef, beg) → new_esEs16(new_compare24(Right(vwx3000), Left(vwx31000), False, bef, beg), LT)
new_esEs27(vwx142, vwx143, app(ty_Maybe, cce)) → new_esEs6(vwx142, vwx143, cce)
new_lt20(vwx3000, vwx31000, ty_Integer) → new_lt16(vwx3000, vwx31000)
new_compare28(vwx300, vwx3100, False, bac, bad, bae) → new_compare13(vwx300, vwx3100, new_ltEs17(vwx300, vwx3100, bac, bad, bae), bac, bad, bae)
new_esEs8(vwx3001, vwx31001, ty_Double) → new_esEs22(vwx3001, vwx31001)
new_esEs12(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, ty_Bool) → new_ltEs10(vwx3001, vwx31001)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Bool, dh) → new_ltEs10(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs7(vwx3000, vwx31000, ddb, ddc, ddd)
new_esEs27(vwx142, vwx143, ty_Float) → new_esEs24(vwx142, vwx143)
new_compare4(vwx300, vwx3100, ty_Float) → new_compare11(vwx300, vwx3100)
new_ltEs10(False, False) → True
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_@0) → new_ltEs6(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, app(app(ty_@2, eca), ecb)) → new_esEs4(vwx3001, vwx31001, eca, ecb)
new_esEs33(vwx1421, vwx1431, ty_Bool) → new_esEs17(vwx1421, vwx1431)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(app(ty_@3, ee), ef), eg), dh) → new_ltEs17(vwx3000, vwx31000, ee, ef, eg)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(ty_[], dge)) → new_esEs25(vwx1420, vwx1430, dge)
new_esEs27(vwx142, vwx143, ty_Double) → new_esEs22(vwx142, vwx143)
new_esEs14(vwx3001, vwx31001, ty_Char) → new_esEs20(vwx3001, vwx31001)
new_lt20(vwx3000, vwx31000, ty_Char) → new_lt4(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_Maybe, deh), cbh) → new_esEs6(vwx1420, vwx1430, deh)
new_ltEs19(vwx3002, vwx31002, app(app(ty_Either, bbb), bbc)) → new_ltEs4(vwx3002, vwx31002, bbb, bbc)
new_compare1(vwx300, vwx3100, False, hf, hg) → GT
new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, ty_Integer) → new_compare3(new_sr0(vwx3000, vwx31001), new_sr0(vwx31000, vwx3001))
new_esEs15(vwx3000, vwx31000, app(app(ty_Either, cdb), cdc)) → new_esEs5(vwx3000, vwx31000, cdb, cdc)
new_esEs34(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_compare27(vwx300, vwx3100, False, bab) → new_compare14(vwx300, vwx3100, new_ltEs15(vwx300, vwx3100, bab), bab)
new_compare6(@0, @0) → EQ
new_esEs8(vwx3001, vwx31001, app(ty_[], ecc)) → new_esEs25(vwx3001, vwx31001, ecc)
new_esEs34(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_esEs26(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_lt20(vwx3000, vwx31000, ty_Float) → new_lt10(vwx3000, vwx31000)
new_esEs25([], [], bgg) → True
new_esEs27(vwx142, vwx143, app(ty_[], bgg)) → new_esEs25(vwx142, vwx143, bgg)
new_esEs11(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, app(ty_[], cgh)) → new_esEs25(vwx3000, vwx31000, cgh)
new_lt20(vwx3000, vwx31000, ty_Double) → new_lt12(vwx3000, vwx31000)
new_lt19(vwx3001, vwx31001, app(ty_Ratio, eff)) → new_lt17(vwx3001, vwx31001, eff)
new_esEs33(vwx1421, vwx1431, app(app(app(ty_@3, dgh), dha), dhb)) → new_esEs7(vwx1421, vwx1431, dgh, dha, dhb)
new_lt20(vwx3000, vwx31000, app(app(ty_@2, bdc), bdd)) → new_lt14(vwx3000, vwx31000, bdc, bdd)
new_esEs27(vwx142, vwx143, ty_Ordering) → new_esEs16(vwx142, vwx143)
new_esEs15(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(app(ty_Either, fc), fd)) → new_ltEs4(vwx3000, vwx31000, fc, fd)
new_esEs32(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_esEs33(vwx1421, vwx1431, ty_Float) → new_esEs24(vwx1421, vwx1431)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Char) → new_ltEs13(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Right(vwx31000), eh, dh) → True
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(app(ty_@2, dgc), dgd)) → new_esEs4(vwx1420, vwx1430, dgc, dgd)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_Maybe, gg)) → new_ltEs15(vwx3000, vwx31000, gg)
new_esEs27(vwx142, vwx143, ty_Int) → new_esEs19(vwx142, vwx143)
new_ltEs19(vwx3002, vwx31002, ty_Int) → new_ltEs8(vwx3002, vwx31002)
new_primCmpNat0(Zero, Succ(vwx310000)) → LT
new_esEs27(vwx142, vwx143, app(app(app(ty_@3, cca), ccb), ccc)) → new_esEs7(vwx142, vwx143, cca, ccb, ccc)
new_esEs33(vwx1421, vwx1431, ty_Char) → new_esEs20(vwx1421, vwx1431)
new_esEs31(vwx1421, vwx1431, app(app(ty_@2, dbb), dbc)) → new_esEs4(vwx1421, vwx1431, dbb, dbc)
new_lt12(Double(vwx3000, vwx3001), Double(vwx31000, vwx31001)) → new_esEs16(new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001)), LT)
new_esEs9(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, ty_@0) → new_ltEs6(vwx3001, vwx31001)
new_lt19(vwx3001, vwx31001, ty_Bool) → new_lt9(vwx3001, vwx31001)
new_esEs32(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_compare4(vwx300, vwx3100, ty_Ordering) → new_compare26(vwx300, vwx3100, new_esEs16(vwx300, vwx3100))
new_esEs34(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_esEs12(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_@0) → new_esEs21(vwx1420, vwx1430)
new_lt15(Neg(Succ(vwx30000)), Neg(vwx31000)) → new_esEs16(new_primCmpNat0(vwx31000, Succ(vwx30000)), LT)
new_esEs13(vwx3002, vwx31002, ty_Bool) → new_esEs17(vwx3002, vwx31002)
new_esEs30(vwx1422, vwx1432, ty_@0) → new_esEs21(vwx1422, vwx1432)
new_esEs15(vwx3000, vwx31000, app(ty_Ratio, cdg)) → new_esEs18(vwx3000, vwx31000, cdg)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_compare0([], [], he) → EQ
new_primEqNat0(Zero, Zero) → True
new_lt20(vwx3000, vwx31000, app(ty_Maybe, bdg)) → new_lt6(vwx3000, vwx31000, bdg)
new_compare24(vwx300, vwx3100, False, hh, baa) → new_compare12(vwx300, vwx3100, new_ltEs4(vwx300, vwx3100, hh, baa), hh, baa)
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(app(ty_@3, edh), eea), eeb)) → new_esEs7(vwx1420, vwx1430, edh, eea, eeb)
new_esEs13(vwx3002, vwx31002, ty_Int) → new_esEs19(vwx3002, vwx31002)
new_compare26(vwx300, vwx3100, True) → EQ
new_esEs8(vwx3001, vwx31001, ty_Char) → new_esEs20(vwx3001, vwx31001)
new_esEs26(vwx1420, vwx1430, app(ty_Maybe, bhf)) → new_esEs6(vwx1420, vwx1430, bhf)
new_lt20(vwx3000, vwx31000, ty_Int) → new_lt15(vwx3000, vwx31000)
new_esEs10(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs15(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_esEs9(vwx3000, vwx31000, app(ty_Maybe, cbb)) → new_esEs6(vwx3000, vwx31000, cbb)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Float) → new_ltEs14(vwx3000, vwx31000)
new_esEs17(False, False) → True
new_esEs14(vwx3001, vwx31001, ty_Bool) → new_esEs17(vwx3001, vwx31001)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_Maybe, ec), dh) → new_ltEs15(vwx3000, vwx31000, ec)
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_ltEs8(vwx300, vwx3100) → new_not(new_esEs16(new_compare7(vwx300, vwx3100), GT))
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(ty_Either, ge), gf)) → new_ltEs4(vwx3000, vwx31000, ge, gf)
new_lt4(Char(vwx3000), Char(vwx31000)) → new_esEs16(new_primCmpNat0(vwx3000, vwx31000), LT)
new_sr(vwx300, vwx3101) → new_primMulInt(vwx300, vwx3101)
new_esEs15(vwx3000, vwx31000, app(ty_Maybe, cdh)) → new_esEs6(vwx3000, vwx31000, cdh)
new_compare12(vwx300, vwx3100, False, hh, baa) → GT
new_compare7(vwx300, vwx3100) → new_primCmpInt(vwx300, vwx3100)
new_lt11(vwx3000, vwx31000, ty_Int) → new_lt15(vwx3000, vwx31000)
new_esEs18(:%(vwx100, vwx101), :%(vwx120, vwx121), ced) → new_asAs(new_esEs29(vwx100, vwx120, ced), new_esEs28(vwx101, vwx121, ced))
new_esEs9(vwx3000, vwx31000, app(app(app(ty_@3, caf), cag), cah)) → new_esEs7(vwx3000, vwx31000, caf, cag, cah)
new_esEs30(vwx1422, vwx1432, ty_Bool) → new_esEs17(vwx1422, vwx1432)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Integer) → new_ltEs9(vwx3000, vwx31000)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(ty_Ratio, dga)) → new_esEs18(vwx1420, vwx1430, dga)
new_esEs31(vwx1421, vwx1431, app(app(app(ty_@3, dae), daf), dag)) → new_esEs7(vwx1421, vwx1431, dae, daf, dag)
new_esEs13(vwx3002, vwx31002, ty_Ordering) → new_esEs16(vwx3002, vwx31002)
new_esEs33(vwx1421, vwx1431, ty_Double) → new_esEs22(vwx1421, vwx1431)
new_esEs9(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_primPlusNat0(Succ(vwx2580), vwx310100) → Succ(Succ(new_primPlusNat1(vwx2580, vwx310100)))
new_esEs11(vwx3000, vwx31000, app(app(ty_@2, ddg), ddh)) → new_esEs4(vwx3000, vwx31000, ddg, ddh)
new_esEs30(vwx1422, vwx1432, ty_Int) → new_esEs19(vwx1422, vwx1432)
new_lt20(vwx3000, vwx31000, ty_Bool) → new_lt9(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_@0) → new_ltEs6(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, ty_Bool) → new_esEs17(vwx3001, vwx31001)
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_[], eeg)) → new_esEs25(vwx1420, vwx1430, eeg)
new_esEs26(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_esEs27(vwx142, vwx143, ty_@0) → new_esEs21(vwx142, vwx143)
new_lt15(Pos(Succ(vwx30000)), Pos(vwx31000)) → new_esEs16(new_primCmpNat0(Succ(vwx30000), vwx31000), LT)
new_esEs30(vwx1422, vwx1432, ty_Integer) → new_esEs23(vwx1422, vwx1432)
new_primEqInt(Neg(Succ(vwx1000)), Neg(Succ(vwx1200))) → new_primEqNat0(vwx1000, vwx1200)
new_compare25(vwx300, vwx3100, True) → EQ
new_esEs10(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_lt11(vwx3000, vwx31000, ty_Ordering) → new_lt7(vwx3000, vwx31000)
new_lt5(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), bfb, bfc, bfd) → new_esEs16(new_compare28(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), new_asAs(new_esEs15(vwx3000, vwx31000, bfb), new_asAs(new_esEs14(vwx3001, vwx31001, bfc), new_esEs13(vwx3002, vwx31002, bfd))), bfb, bfc, bfd), LT)
new_esEs14(vwx3001, vwx31001, app(ty_Ratio, bgb)) → new_esEs18(vwx3001, vwx31001, bgb)
new_ltEs19(vwx3002, vwx31002, ty_Double) → new_ltEs5(vwx3002, vwx31002)
new_primPlusNat1(Zero, Succ(vwx3101000)) → Succ(vwx3101000)
new_primPlusNat1(Succ(vwx25800), Zero) → Succ(vwx25800)
new_esEs31(vwx1421, vwx1431, ty_Double) → new_esEs22(vwx1421, vwx1431)
new_esEs26(vwx1420, vwx1430, app(app(app(ty_@3, bhb), bhc), bhd)) → new_esEs7(vwx1420, vwx1430, bhb, bhc, bhd)
new_compare16(vwx300, vwx3100, True) → LT
new_esEs27(vwx142, vwx143, ty_Char) → new_esEs20(vwx142, vwx143)
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(app(ty_@3, ded), dee), def), cbh) → new_esEs7(vwx1420, vwx1430, ded, dee, def)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_lt15(Pos(Zero), Neg(Succ(vwx310000))) → new_esEs16(GT, LT)
new_lt20(vwx3000, vwx31000, ty_Ordering) → new_lt7(vwx3000, vwx31000)
new_lt7(EQ, LT) → new_esEs16(new_compare26(EQ, LT, False), LT)
new_lt7(LT, EQ) → new_esEs16(new_compare26(LT, EQ, False), LT)
new_esEs27(vwx142, vwx143, app(app(ty_Either, cbg), cbh)) → new_esEs5(vwx142, vwx143, cbg, cbh)
new_esEs34(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_[], ed), dh) → new_ltEs16(vwx3000, vwx31000, ed)
new_esEs30(vwx1422, vwx1432, app(app(app(ty_@3, chc), chd), che)) → new_esEs7(vwx1422, vwx1432, chc, chd, che)
new_lt15(Pos(Succ(vwx30000)), Neg(vwx31000)) → new_esEs16(GT, LT)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(ty_Either, ea), eb), dh) → new_ltEs4(vwx3000, vwx31000, ea, eb)
new_primEqInt(Neg(Succ(vwx1000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(vwx1200))) → False
new_esEs11(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_esEs15(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(ty_@2, gc), gd)) → new_ltEs7(vwx3000, vwx31000, gc, gd)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(ty_[], fg)) → new_ltEs16(vwx3000, vwx31000, fg)
new_compare4(vwx300, vwx3100, app(app(app(ty_@3, bac), bad), bae)) → new_compare28(vwx300, vwx3100, new_esEs7(vwx300, vwx3100, bac, bad, bae), bac, bad, bae)
new_esEs31(vwx1421, vwx1431, app(ty_Ratio, dah)) → new_esEs18(vwx1421, vwx1431, dah)
new_compare5(Double(vwx3000, vwx3001), Double(vwx31000, vwx31001)) → new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001))
new_esEs10(vwx3000, vwx31000, app(app(app(ty_@3, ecf), ecg), ech)) → new_esEs7(vwx3000, vwx31000, ecf, ecg, ech)
new_esEs14(vwx3001, vwx31001, app(ty_Maybe, bgc)) → new_esEs6(vwx3001, vwx31001, bgc)
new_compare4(vwx300, vwx3100, app(app(ty_@2, hf), hg)) → new_compare23(vwx300, vwx3100, new_esEs4(vwx300, vwx3100, hf, hg), hf, hg)
new_esEs31(vwx1421, vwx1431, app(app(ty_Either, dac), dad)) → new_esEs5(vwx1421, vwx1431, dac, dad)
new_compare24(vwx300, vwx3100, True, hh, baa) → EQ
new_esEs15(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_lt7(GT, GT) → new_esEs16(new_compare26(GT, GT, True), LT)
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_compare4(vwx300, vwx3100, ty_Char) → new_compare9(vwx300, vwx3100)
new_esEs28(vwx101, vwx121, ty_Int) → new_esEs19(vwx101, vwx121)
new_primCmpNat0(Succ(vwx30000), Succ(vwx310000)) → new_primCmpNat0(vwx30000, vwx310000)
new_lt19(vwx3001, vwx31001, app(app(ty_Either, bcd), bce)) → new_lt8(vwx3001, vwx31001, bcd, bce)
new_lt15(Pos(Zero), Pos(Succ(vwx310000))) → new_esEs16(new_primCmpNat0(Zero, Succ(vwx310000)), LT)
new_esEs6(Nothing, Nothing, cce) → True
new_ltEs14(vwx300, vwx3100) → new_not(new_esEs16(new_compare11(vwx300, vwx3100), GT))
new_lt18([], [], bfa) → new_esEs16(EQ, LT)
new_primEqInt(Pos(Succ(vwx1000)), Pos(Succ(vwx1200))) → new_primEqNat0(vwx1000, vwx1200)
new_compare4(vwx300, vwx3100, app(app(ty_Either, hh), baa)) → new_compare24(vwx300, vwx3100, new_esEs5(vwx300, vwx3100, hh, baa), hh, baa)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Int, dh) → new_ltEs8(vwx3000, vwx31000)
new_compare12(vwx300, vwx3100, True, hh, baa) → LT
new_esEs15(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Ordering) → new_ltEs11(vwx3000, vwx31000)
new_compare14(vwx300, vwx3100, False, bab) → GT
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(app(ty_Either, dfd), dfe)) → new_esEs5(vwx1420, vwx1430, dfd, dfe)
new_compare4(vwx300, vwx3100, app(ty_[], he)) → new_compare0(vwx300, vwx3100, he)
new_esEs6(Nothing, Just(vwx1430), cce) → False
new_esEs6(Just(vwx1420), Nothing, cce) → False
new_primEqNat0(Succ(vwx1000), Succ(vwx1200)) → new_primEqNat0(vwx1000, vwx1200)
new_lt14(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), bed, bee) → new_esEs16(new_compare23(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), new_asAs(new_esEs9(vwx3000, vwx31000, bed), new_esEs8(vwx3001, vwx31001, bee)), bed, bee), LT)
new_lt19(vwx3001, vwx31001, ty_@0) → new_lt13(vwx3001, vwx31001)
new_esEs33(vwx1421, vwx1431, app(ty_Ratio, dhc)) → new_esEs18(vwx1421, vwx1431, dhc)
new_esEs30(vwx1422, vwx1432, app(ty_Ratio, chf)) → new_esEs18(vwx1422, vwx1432, chf)
new_esEs30(vwx1422, vwx1432, ty_Double) → new_esEs22(vwx1422, vwx1432)
new_primCompAux00(vwx204, LT) → LT
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Char, dh) → new_ltEs13(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_primCmpInt(Neg(Succ(vwx30000)), Neg(vwx31000)) → new_primCmpNat0(vwx31000, Succ(vwx30000))
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Int, cbh) → new_esEs19(vwx1420, vwx1430)
new_esEs26(vwx1420, vwx1430, app(app(ty_@2, bhg), bhh)) → new_esEs4(vwx1420, vwx1430, bhg, bhh)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Float) → new_esEs24(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, ty_Char) → new_ltEs13(vwx3001, vwx31001)
new_esEs12(vwx3000, vwx31000, app(ty_Ratio, cgd)) → new_esEs18(vwx3000, vwx31000, cgd)
new_primEqInt(Pos(Succ(vwx1000)), Pos(Zero)) → False
new_esEs34(vwx1420, vwx1430, app(app(app(ty_@3, eab), eac), ead)) → new_esEs7(vwx1420, vwx1430, eab, eac, ead)
new_primEqInt(Pos(Zero), Pos(Succ(vwx1200))) → False
new_esEs31(vwx1421, vwx1431, ty_Bool) → new_esEs17(vwx1421, vwx1431)
new_lt20(vwx3000, vwx31000, app(ty_Ratio, efg)) → new_lt17(vwx3000, vwx31000, efg)
new_esEs21(@0, @0) → True
new_esEs12(vwx3000, vwx31000, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs7(vwx3000, vwx31000, cga, cgb, cgc)
new_esEs30(vwx1422, vwx1432, ty_Float) → new_esEs24(vwx1422, vwx1432)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(vwx30000), Zero) → GT
new_esEs32(vwx1420, vwx1430, app(ty_Maybe, dcc)) → new_esEs6(vwx1420, vwx1430, dcc)
new_primCmpInt(Neg(Zero), Pos(Succ(vwx310000))) → LT
new_compare23(vwx300, vwx3100, False, hf, hg) → new_compare1(vwx300, vwx3100, new_ltEs7(vwx300, vwx3100, hf, hg), hf, hg)
new_esEs10(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(app(app(ty_@3, fh), ga), gb)) → new_ltEs17(vwx3000, vwx31000, fh, ga, gb)
new_sr0(Integer(vwx3000), Integer(vwx31010)) → Integer(new_primMulInt(vwx3000, vwx31010))
new_primPlusNat1(Succ(vwx25800), Succ(vwx3101000)) → Succ(Succ(new_primPlusNat1(vwx25800, vwx3101000)))
new_esEs9(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Int) → new_ltEs8(vwx3000, vwx31000)
new_primEqInt(Pos(Succ(vwx1000)), Neg(vwx120)) → False
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_Ratio, deg), cbh) → new_esEs18(vwx1420, vwx1430, deg)
new_primEqInt(Neg(Succ(vwx1000)), Pos(vwx120)) → False
new_lt19(vwx3001, vwx31001, app(ty_Maybe, bcf)) → new_lt6(vwx3001, vwx31001, bcf)
new_esEs9(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs26(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, app(app(ty_Either, bd), be)) → new_ltEs4(vwx3001, vwx31001, bd, be)
new_lt16(Integer(vwx3000), Integer(vwx31000)) → new_esEs16(new_primCmpInt(vwx3000, vwx31000), LT)
new_esEs8(vwx3001, vwx31001, app(app(ty_Either, ebb), ebc)) → new_esEs5(vwx3001, vwx31001, ebb, ebc)
new_esEs32(vwx1420, vwx1430, app(app(ty_Either, dbe), dbf)) → new_esEs5(vwx1420, vwx1430, dbe, dbf)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_lt13(@0, @0) → new_esEs16(EQ, LT)
new_lt19(vwx3001, vwx31001, app(app(app(ty_@3, bch), bda), bdb)) → new_lt5(vwx3001, vwx31001, bch, bda, bdb)
new_esEs9(vwx3000, vwx31000, app(app(ty_Either, cad), cae)) → new_esEs5(vwx3000, vwx31000, cad, cae)
new_compare3(Integer(vwx3000), Integer(vwx31000)) → new_primCmpInt(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_ltEs11(GT, LT) → False
new_primEqInt(Pos(Zero), Neg(Succ(vwx1200))) → False
new_primEqInt(Neg(Zero), Pos(Succ(vwx1200))) → False
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(ty_@2, dfa), dfb), cbh) → new_esEs4(vwx1420, vwx1430, dfa, dfb)
new_esEs14(vwx3001, vwx31001, app(app(ty_@2, bgd), bge)) → new_esEs4(vwx3001, vwx31001, bgd, bge)
new_esEs10(vwx3000, vwx31000, app(ty_[], ede)) → new_esEs25(vwx3000, vwx31000, ede)
new_esEs30(vwx1422, vwx1432, ty_Char) → new_esEs20(vwx1422, vwx1432)
new_ltEs6(vwx300, vwx3100) → new_not(new_esEs16(new_compare6(vwx300, vwx3100), GT))
new_primCmpInt(Pos(Zero), Pos(Succ(vwx310000))) → new_primCmpNat0(Zero, Succ(vwx310000))
new_primCompAux00(vwx204, EQ) → vwx204
new_pePe(False, vwx142, vwx143, vwx144, cbf) → new_asAs(new_esEs27(vwx142, vwx143, cbf), vwx144)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_@0, cbh) → new_esEs21(vwx1420, vwx1430)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(app(ty_@2, fa), fb)) → new_ltEs7(vwx3000, vwx31000, fa, fb)
new_esEs7(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), cca, ccb, ccc) → new_asAs(new_esEs32(vwx1420, vwx1430, cca), new_asAs(new_esEs31(vwx1421, vwx1431, ccb), new_esEs30(vwx1422, vwx1432, ccc)))
new_ltEs11(LT, EQ) → True
new_esEs11(vwx3000, vwx31000, app(ty_Ratio, dde)) → new_esEs18(vwx3000, vwx31000, dde)
new_esEs14(vwx3001, vwx31001, ty_Double) → new_esEs22(vwx3001, vwx31001)
new_lt9(False, True) → new_esEs16(new_compare25(False, True, False), LT)
new_lt9(True, False) → new_esEs16(new_compare25(True, False, False), LT)
new_esEs32(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_ltEs11(LT, LT) → True
new_compare8(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), ty_Integer) → new_compare3(new_sr0(vwx3000, vwx31001), new_sr0(vwx31000, vwx3001))
new_not(False) → True
new_ltEs4(Right(vwx3000), Left(vwx31000), eh, dh) → False
new_esEs8(vwx3001, vwx31001, ty_Float) → new_esEs24(vwx3001, vwx31001)
new_esEs13(vwx3002, vwx31002, app(ty_[], cff)) → new_esEs25(vwx3002, vwx31002, cff)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Ordering, dh) → new_ltEs11(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, app(ty_Maybe, ddf)) → new_esEs6(vwx3000, vwx31000, ddf)
new_esEs8(vwx3001, vwx31001, app(ty_Maybe, ebh)) → new_esEs6(vwx3001, vwx31001, ebh)
new_primCmpInt(Pos(Succ(vwx30000)), Pos(vwx31000)) → new_primCmpNat0(Succ(vwx30000), vwx31000)
new_primPlusNat0(Zero, vwx310100) → Succ(vwx310100)
new_lt19(vwx3001, vwx31001, ty_Int) → new_lt15(vwx3001, vwx31001)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Integer) → new_ltEs9(vwx3000, vwx31000)
new_esEs33(vwx1421, vwx1431, ty_Ordering) → new_esEs16(vwx1421, vwx1431)
new_compare4(vwx300, vwx3100, app(ty_Maybe, bab)) → new_compare27(vwx300, vwx3100, new_esEs6(vwx300, vwx3100, bab), bab)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_esEs26(vwx1420, vwx1430, app(ty_Ratio, bhe)) → new_esEs18(vwx1420, vwx1430, bhe)
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_lt11(vwx3000, vwx31000, app(ty_Ratio, efa)) → new_lt17(vwx3000, vwx31000, efa)
new_esEs13(vwx3002, vwx31002, app(app(ty_Either, cee), cef)) → new_esEs5(vwx3002, vwx31002, cee, cef)
new_esEs25([], :(vwx1430, vwx1431), bgg) → False
new_esEs25(:(vwx1420, vwx1421), [], bgg) → False
new_esEs34(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_compare0(:(vwx3000, vwx3001), [], he) → GT
new_esEs13(vwx3002, vwx31002, app(app(ty_@2, cfd), cfe)) → new_esEs4(vwx3002, vwx31002, cfd, cfe)
new_lt9(True, True) → new_esEs16(new_compare25(True, True, True), LT)
new_esEs11(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_ltEs11(GT, GT) → True
new_esEs26(vwx1420, vwx1430, app(app(ty_Either, bgh), bha)) → new_esEs5(vwx1420, vwx1430, bgh, bha)
new_lt7(LT, LT) → new_esEs16(new_compare26(LT, LT, True), LT)
new_lt7(GT, LT) → new_esEs16(new_compare26(GT, LT, False), LT)
new_lt7(LT, GT) → new_esEs16(new_compare26(LT, GT, False), LT)
new_primCmpInt(Pos(Succ(vwx30000)), Neg(vwx31000)) → GT
new_esEs8(vwx3001, vwx31001, app(app(app(ty_@3, ebd), ebe), ebf)) → new_esEs7(vwx3001, vwx31001, ebd, ebe, ebf)
new_esEs33(vwx1421, vwx1431, app(app(ty_@2, dhe), dhf)) → new_esEs4(vwx1421, vwx1431, dhe, dhf)
new_lt15(Pos(Zero), Neg(Zero)) → new_esEs16(EQ, LT)
new_lt15(Neg(Zero), Pos(Zero)) → new_esEs16(EQ, LT)
new_esEs33(vwx1421, vwx1431, ty_Int) → new_esEs19(vwx1421, vwx1431)
new_ltEs18(vwx3001, vwx31001, ty_Ordering) → new_ltEs11(vwx3001, vwx31001)
new_ltEs19(vwx3002, vwx31002, app(ty_[], bbe)) → new_ltEs16(vwx3002, vwx31002, bbe)
new_esEs9(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_primMulInt(Pos(vwx3000), Pos(vwx31010)) → Pos(new_primMulNat0(vwx3000, vwx31010))
new_lt19(vwx3001, vwx31001, app(app(ty_@2, bca), bcb)) → new_lt14(vwx3001, vwx31001, bca, bcb)
new_esEs12(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_esEs9(vwx3000, vwx31000, app(ty_Ratio, cba)) → new_esEs18(vwx3000, vwx31000, cba)
new_lt15(Neg(Zero), Neg(Succ(vwx310000))) → new_esEs16(new_primCmpNat0(Succ(vwx310000), Zero), LT)
new_ltEs9(vwx300, vwx3100) → new_not(new_esEs16(new_compare3(vwx300, vwx3100), GT))
new_esEs5(Right(vwx1420), Left(vwx1430), cbg, cbh) → False
new_esEs5(Left(vwx1420), Right(vwx1430), cbg, cbh) → False
new_primMulInt(Neg(vwx3000), Neg(vwx31010)) → Pos(new_primMulNat0(vwx3000, vwx31010))
new_esEs16(EQ, EQ) → True
new_compare1(vwx300, vwx3100, True, hf, hg) → LT
new_esEs26(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_primEqNat0(Succ(vwx1000), Zero) → False
new_primEqNat0(Zero, Succ(vwx1200)) → False
new_lt11(vwx3000, vwx31000, ty_Float) → new_lt10(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, ty_@0) → new_ltEs6(vwx3002, vwx31002)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Float, dh) → new_ltEs14(vwx3000, vwx31000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_ltEs18(vwx3001, vwx31001, app(app(app(ty_@3, bh), ca), cb)) → new_ltEs17(vwx3001, vwx31001, bh, ca, cb)
new_esEs33(vwx1421, vwx1431, app(ty_Maybe, dhd)) → new_esEs6(vwx1421, vwx1431, dhd)
new_lt20(vwx3000, vwx31000, app(app(ty_Either, bde), bdf)) → new_lt8(vwx3000, vwx31000, bde, bdf)
new_esEs12(vwx3000, vwx31000, app(app(ty_Either, cfg), cfh)) → new_esEs5(vwx3000, vwx31000, cfg, cfh)
new_ltEs15(Just(vwx3000), Nothing, efc) → False
new_compare28(vwx300, vwx3100, True, bac, bad, bae) → EQ
new_ltEs19(vwx3002, vwx31002, ty_Ordering) → new_ltEs11(vwx3002, vwx31002)
new_ltEs19(vwx3002, vwx31002, ty_Char) → new_ltEs13(vwx3002, vwx31002)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(app(ty_@3, ha), hb), hc)) → new_ltEs17(vwx3000, vwx31000, ha, hb, hc)
new_esEs11(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Double) → new_ltEs5(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, ty_Bool) → new_ltEs10(vwx3002, vwx31002)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Ordering, cbh) → new_esEs16(vwx1420, vwx1430)
new_pePe(True, vwx142, vwx143, vwx144, cbf) → True
new_ltEs17(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, bcc) → new_pePe(new_lt20(vwx3000, vwx31000, baf), vwx3000, vwx31000, new_pePe(new_lt19(vwx3001, vwx31001, bag), vwx3001, vwx31001, new_ltEs19(vwx3002, vwx31002, bcc), bag), baf)
new_esEs8(vwx3001, vwx31001, ty_Ordering) → new_esEs16(vwx3001, vwx31001)
new_esEs33(vwx1421, vwx1431, app(ty_[], dhg)) → new_esEs25(vwx1421, vwx1431, dhg)
new_lt15(Pos(Zero), Pos(Zero)) → new_esEs16(EQ, LT)
new_esEs8(vwx3001, vwx31001, ty_Int) → new_esEs19(vwx3001, vwx31001)
new_lt7(GT, EQ) → new_esEs16(new_compare26(GT, EQ, False), LT)
new_lt7(EQ, GT) → new_esEs16(new_compare26(EQ, GT, False), LT)
new_primCmpInt(Neg(Zero), Neg(Succ(vwx310000))) → new_primCmpNat0(Succ(vwx310000), Zero)
new_compare23(vwx300, vwx3100, True, hf, hg) → EQ
new_primCmpInt(Pos(Zero), Neg(Succ(vwx310000))) → GT
new_ltEs12(vwx300, vwx3100, dcg) → new_not(new_esEs16(new_compare8(vwx300, vwx3100, dcg), GT))
new_esEs14(vwx3001, vwx31001, ty_Integer) → new_esEs23(vwx3001, vwx31001)
new_esEs12(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_Ratio, cab), dh) → new_ltEs12(vwx3000, vwx31000, cab)
new_esEs15(vwx3000, vwx31000, app(app(app(ty_@3, cdd), cde), cdf)) → new_esEs7(vwx3000, vwx31000, cdd, cde, cdf)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(app(app(ty_@3, dff), dfg), dfh)) → new_esEs7(vwx1420, vwx1430, dff, dfg, dfh)
new_ltEs18(vwx3001, vwx31001, ty_Float) → new_ltEs14(vwx3001, vwx31001)
new_lt19(vwx3001, vwx31001, app(ty_[], bcg)) → new_lt18(vwx3001, vwx31001, bcg)
new_esEs10(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, ty_Integer) → new_ltEs9(vwx3001, vwx31001)
new_esEs14(vwx3001, vwx31001, app(app(ty_Either, bfe), bff)) → new_esEs5(vwx3001, vwx31001, bfe, bff)
new_esEs14(vwx3001, vwx31001, app(ty_[], bgf)) → new_esEs25(vwx3001, vwx31001, bgf)
new_lt6(Just(vwx3000), Just(vwx31000), beh) → new_esEs16(new_compare27(Just(vwx3000), Just(vwx31000), new_esEs12(vwx3000, vwx31000, beh), beh), LT)
new_esEs29(vwx100, vwx120, ty_Int) → new_esEs19(vwx100, vwx120)
new_esEs31(vwx1421, vwx1431, ty_Float) → new_esEs24(vwx1421, vwx1431)
new_esEs13(vwx3002, vwx31002, app(ty_Ratio, cfb)) → new_esEs18(vwx3002, vwx31002, cfb)
new_lt18(:(vwx3000, vwx3001), [], bfa) → new_esEs16(GT, LT)
new_esEs9(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_lt11(vwx3000, vwx31000, ty_@0) → new_lt13(vwx3000, vwx31000)
new_esEs29(vwx100, vwx120, ty_Integer) → new_esEs23(vwx100, vwx120)
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(ty_Either, edf), edg)) → new_esEs5(vwx1420, vwx1430, edf, edg)
new_compare4(vwx300, vwx3100, app(ty_Ratio, cda)) → new_compare8(vwx300, vwx3100, cda)
new_ltEs11(EQ, EQ) → True
new_compare26(vwx300, vwx3100, False) → new_compare10(vwx300, vwx3100, new_ltEs11(vwx300, vwx3100))
new_esEs10(vwx3000, vwx31000, app(app(ty_@2, edc), edd)) → new_esEs4(vwx3000, vwx31000, edc, edd)
new_esEs9(vwx3000, vwx31000, app(app(ty_@2, cbc), cbd)) → new_esEs4(vwx3000, vwx31000, cbc, cbd)
new_esEs19(vwx10, vwx12) → new_primEqInt(vwx10, vwx12)
new_ltEs13(vwx300, vwx3100) → new_not(new_esEs16(new_compare9(vwx300, vwx3100), GT))
new_esEs14(vwx3001, vwx31001, ty_Int) → new_esEs19(vwx3001, vwx31001)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Bool) → new_ltEs10(vwx3000, vwx31000)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Double) → new_esEs22(vwx1420, vwx1430)
new_lt19(vwx3001, vwx31001, ty_Ordering) → new_lt7(vwx3001, vwx31001)
new_esEs26(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt7(EQ, EQ) → new_esEs16(new_compare26(EQ, EQ, True), LT)
new_esEs10(vwx3000, vwx31000, app(app(ty_Either, ecd), ece)) → new_esEs5(vwx3000, vwx31000, ecd, ece)
new_lt20(vwx3000, vwx31000, ty_@0) → new_lt13(vwx3000, vwx31000)
new_esEs30(vwx1422, vwx1432, ty_Ordering) → new_esEs16(vwx1422, vwx1432)
new_esEs13(vwx3002, vwx31002, ty_Float) → new_esEs24(vwx3002, vwx31002)
new_esEs16(LT, LT) → True
new_ltEs10(True, False) → False
new_esEs13(vwx3002, vwx31002, ty_@0) → new_esEs21(vwx3002, vwx31002)
new_asAs(False, vwx152) → False
new_ltEs19(vwx3002, vwx31002, app(app(ty_@2, bah), bba)) → new_ltEs7(vwx3002, vwx31002, bah, bba)
new_lt11(vwx3000, vwx31000, ty_Double) → new_lt12(vwx3000, vwx31000)
new_primMulInt(Neg(vwx3000), Pos(vwx31010)) → Neg(new_primMulNat0(vwx3000, vwx31010))
new_primMulInt(Pos(vwx3000), Neg(vwx31010)) → Neg(new_primMulNat0(vwx3000, vwx31010))
new_esEs25(:(vwx1420, vwx1421), :(vwx1430, vwx1431), bgg) → new_asAs(new_esEs26(vwx1420, vwx1430, bgg), new_esEs25(vwx1421, vwx1431, bgg))
new_esEs4(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), ccf, ccg) → new_asAs(new_esEs34(vwx1420, vwx1430, ccf), new_esEs33(vwx1421, vwx1431, ccg))
new_lt11(vwx3000, vwx31000, app(ty_Maybe, da)) → new_lt6(vwx3000, vwx31000, da)
new_esEs14(vwx3001, vwx31001, app(app(app(ty_@3, bfg), bfh), bga)) → new_esEs7(vwx3001, vwx31001, bfg, bfh, bga)
new_primMulNat0(Succ(vwx30000), Zero) → Zero
new_primMulNat0(Zero, Succ(vwx310100)) → Zero
new_ltEs19(vwx3002, vwx31002, ty_Float) → new_ltEs14(vwx3002, vwx31002)
new_ltEs7(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, ce) → new_pePe(new_lt11(vwx3000, vwx31000, ba), vwx3000, vwx31000, new_ltEs18(vwx3001, vwx31001, ce), ba)
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_Maybe, eed)) → new_esEs6(vwx1420, vwx1430, eed)
new_esEs32(vwx1420, vwx1430, app(app(app(ty_@3, dbg), dbh), dca)) → new_esEs7(vwx1420, vwx1430, dbg, dbh, dca)
new_esEs11(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_esEs16(GT, GT) → True
new_ltEs11(EQ, LT) → False
new_esEs22(Double(vwx100, vwx101), Double(vwx120, vwx121)) → new_esEs19(new_sr(vwx100, vwx120), new_sr(vwx101, vwx121))
new_lt11(vwx3000, vwx31000, app(ty_[], db)) → new_lt18(vwx3000, vwx31000, db)
new_ltEs18(vwx3001, vwx31001, app(app(ty_@2, bb), bc)) → new_ltEs7(vwx3001, vwx31001, bb, bc)
new_esEs34(vwx1420, vwx1430, app(app(ty_@2, eag), eah)) → new_esEs4(vwx1420, vwx1430, eag, eah)
new_esEs10(vwx3000, vwx31000, app(ty_Maybe, edb)) → new_esEs6(vwx3000, vwx31000, edb)
new_esEs10(vwx3000, vwx31000, app(ty_Ratio, eda)) → new_esEs18(vwx3000, vwx31000, eda)
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(ty_@2, eee), eef)) → new_esEs4(vwx1420, vwx1430, eee, eef)
new_esEs14(vwx3001, vwx31001, ty_@0) → new_esEs21(vwx3001, vwx31001)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_Ratio, efd)) → new_ltEs12(vwx3000, vwx31000, efd)
new_esEs31(vwx1421, vwx1431, ty_Integer) → new_esEs23(vwx1421, vwx1431)
new_lt11(vwx3000, vwx31000, ty_Char) → new_lt4(vwx3000, vwx31000)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_esEs31(vwx1421, vwx1431, ty_Int) → new_esEs19(vwx1421, vwx1431)
new_esEs8(vwx3001, vwx31001, ty_@0) → new_esEs21(vwx3001, vwx31001)
new_compare14(vwx300, vwx3100, True, bab) → LT
new_lt19(vwx3001, vwx31001, ty_Integer) → new_lt16(vwx3001, vwx31001)
new_esEs34(vwx1420, vwx1430, app(ty_Ratio, eae)) → new_esEs18(vwx1420, vwx1430, eae)
new_esEs30(vwx1422, vwx1432, app(ty_[], dab)) → new_esEs25(vwx1422, vwx1432, dab)
new_esEs15(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, app(ty_Ratio, ebg)) → new_esEs18(vwx3001, vwx31001, ebg)
new_esEs33(vwx1421, vwx1431, ty_@0) → new_esEs21(vwx1421, vwx1431)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_@0, dh) → new_ltEs6(vwx3000, vwx31000)
new_esEs10(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Double, dh) → new_ltEs5(vwx3000, vwx31000)
new_esEs30(vwx1422, vwx1432, app(app(ty_Either, cha), chb)) → new_esEs5(vwx1422, vwx1432, cha, chb)
new_ltEs15(Nothing, Nothing, efc) → True
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Char, cbh) → new_esEs20(vwx1420, vwx1430)
new_lt11(vwx3000, vwx31000, ty_Integer) → new_lt16(vwx3000, vwx31000)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(ty_Maybe, dgb)) → new_esEs6(vwx1420, vwx1430, dgb)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Integer, cbh) → new_esEs23(vwx1420, vwx1430)
new_esEs11(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_esEs10(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Bool, cbh) → new_esEs17(vwx1420, vwx1430)
new_esEs27(vwx142, vwx143, app(app(ty_@2, ccf), ccg)) → new_esEs4(vwx142, vwx143, ccf, ccg)
new_esEs14(vwx3001, vwx31001, ty_Ordering) → new_esEs16(vwx3001, vwx31001)
new_esEs34(vwx1420, vwx1430, app(ty_Maybe, eaf)) → new_esEs6(vwx1420, vwx1430, eaf)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Char) → new_ltEs13(vwx3000, vwx31000)
new_esEs26(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_compare4(vwx300, vwx3100, ty_Integer) → new_compare3(vwx300, vwx3100)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_esEs11(vwx3000, vwx31000, app(app(ty_Either, dch), dda)) → new_esEs5(vwx3000, vwx31000, dch, dda)
new_compare4(vwx300, vwx3100, ty_Bool) → new_compare25(vwx300, vwx3100, new_esEs17(vwx300, vwx3100))
new_esEs15(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs15(vwx3000, vwx31000, app(ty_[], cec)) → new_esEs25(vwx3000, vwx31000, cec)
new_esEs26(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(ty_Either, deb), dec), cbh) → new_esEs5(vwx1420, vwx1430, deb, dec)
new_ltEs18(vwx3001, vwx31001, app(ty_Maybe, bf)) → new_ltEs15(vwx3001, vwx31001, bf)
new_esEs32(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_ltEs19(vwx3002, vwx31002, app(app(app(ty_@3, bbf), bbg), bbh)) → new_ltEs17(vwx3002, vwx31002, bbf, bbg, bbh)
new_esEs33(vwx1421, vwx1431, app(app(ty_Either, dgf), dgg)) → new_esEs5(vwx1421, vwx1431, dgf, dgg)
new_esEs32(vwx1420, vwx1430, app(ty_Ratio, dcb)) → new_esEs18(vwx1420, vwx1430, dcb)
new_lt19(vwx3001, vwx31001, ty_Double) → new_lt12(vwx3001, vwx31001)
new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, ty_Int) → new_compare7(new_sr(vwx3000, vwx31001), new_sr(vwx31000, vwx3001))
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(ty_Ratio, cac)) → new_ltEs12(vwx3000, vwx31000, cac)
new_esEs31(vwx1421, vwx1431, ty_Char) → new_esEs20(vwx1421, vwx1431)
new_esEs11(vwx3000, vwx31000, app(ty_[], dea)) → new_esEs25(vwx3000, vwx31000, dea)
new_lt15(Neg(Zero), Pos(Succ(vwx310000))) → new_esEs16(LT, LT)
new_compare4(vwx300, vwx3100, ty_Double) → new_compare5(vwx300, vwx3100)
new_compare27(vwx300, vwx3100, True, bab) → EQ
new_esEs31(vwx1421, vwx1431, ty_Ordering) → new_esEs16(vwx1421, vwx1431)
new_esEs15(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_lt20(vwx3000, vwx31000, app(app(app(ty_@3, bea), beb), bec)) → new_lt5(vwx3000, vwx31000, bea, beb, bec)
new_esEs8(vwx3001, vwx31001, ty_Integer) → new_esEs23(vwx3001, vwx31001)
new_ltEs18(vwx3001, vwx31001, app(ty_[], bg)) → new_ltEs16(vwx3001, vwx31001, bg)
new_primPlusNat1(Zero, Zero) → Zero
new_compare0([], :(vwx31000, vwx31001), he) → LT
new_ltEs10(True, True) → True
new_esEs12(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Double, cbh) → new_esEs22(vwx1420, vwx1430)
new_asAs(True, vwx152) → vwx152
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Double) → new_ltEs5(vwx3000, vwx31000)
new_esEs13(vwx3002, vwx31002, ty_Char) → new_esEs20(vwx3002, vwx31002)
new_primMulNat0(Succ(vwx30000), Succ(vwx310100)) → new_primPlusNat0(new_primMulNat0(vwx30000, Succ(vwx310100)), vwx310100)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_esEs9(vwx3000, vwx31000, app(ty_[], cbe)) → new_esEs25(vwx3000, vwx31000, cbe)
new_lt18([], :(vwx31000, vwx31001), bfa) → new_esEs16(LT, LT)
new_esEs9(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, app(ty_[], eba)) → new_esEs25(vwx1420, vwx1430, eba)
new_lt11(vwx3000, vwx31000, app(app(ty_Either, cf), cg)) → new_lt8(vwx3000, vwx31000, cf, cg)
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_[], dfc), cbh) → new_esEs25(vwx1420, vwx1430, dfc)
new_esEs23(Integer(vwx100), Integer(vwx120)) → new_primEqInt(vwx100, vwx120)
new_lt10(Float(vwx3000, vwx3001), Float(vwx31000, vwx31001)) → new_esEs16(new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001)), LT)
new_compare25(vwx300, vwx3100, False) → new_compare16(vwx300, vwx3100, new_ltEs10(vwx300, vwx3100))
new_esEs27(vwx142, vwx143, ty_Integer) → new_esEs23(vwx142, vwx143)
new_lt19(vwx3001, vwx31001, ty_Float) → new_lt10(vwx3001, vwx31001)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Float, cbh) → new_esEs24(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, ty_Double) → new_ltEs5(vwx3001, vwx31001)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Int) → new_esEs19(vwx1420, vwx1430)
new_esEs33(vwx1421, vwx1431, ty_Integer) → new_esEs23(vwx1421, vwx1431)
new_compare10(vwx300, vwx3100, True) → LT
new_lt11(vwx3000, vwx31000, app(app(app(ty_@3, dc), dd), de)) → new_lt5(vwx3000, vwx31000, dc, dd, de)
new_esEs32(vwx1420, vwx1430, app(ty_[], dcf)) → new_esEs25(vwx1420, vwx1430, dcf)
new_esEs12(vwx3000, vwx31000, app(ty_Maybe, cge)) → new_esEs6(vwx3000, vwx31000, cge)
new_lt17(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), efb) → new_esEs16(new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, efb), LT)
new_lt15(Neg(Succ(vwx30000)), Pos(vwx31000)) → new_esEs16(LT, LT)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_compare13(vwx300, vwx3100, True, bac, bad, bae) → LT
new_compare11(Float(vwx3000, vwx3001), Float(vwx31000, vwx31001)) → new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001))
new_ltEs5(vwx300, vwx3100) → new_not(new_esEs16(new_compare5(vwx300, vwx3100), GT))
new_compare10(vwx300, vwx3100, False) → GT
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Float) → new_ltEs14(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(ty_@2, df), dg), dh) → new_ltEs7(vwx3000, vwx31000, df, dg)
new_primCompAux00(vwx204, GT) → GT
new_esEs13(vwx3002, vwx31002, app(app(app(ty_@3, ceg), ceh), cfa)) → new_esEs7(vwx3002, vwx31002, ceg, ceh, cfa)
new_esEs31(vwx1421, vwx1431, app(ty_Maybe, dba)) → new_esEs6(vwx1421, vwx1431, dba)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(ty_Maybe, ff)) → new_ltEs15(vwx3000, vwx31000, ff)
new_ltEs11(EQ, GT) → True
new_esEs12(vwx3000, vwx31000, app(app(ty_@2, cgf), cgg)) → new_esEs4(vwx3000, vwx31000, cgf, cgg)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_[], gh)) → new_ltEs16(vwx3000, vwx31000, gh)
new_esEs31(vwx1421, vwx1431, ty_@0) → new_esEs21(vwx1421, vwx1431)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs10(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs30(vwx1422, vwx1432, app(app(ty_@2, chh), daa)) → new_esEs4(vwx1422, vwx1432, chh, daa)
new_esEs14(vwx3001, vwx31001, ty_Float) → new_esEs24(vwx3001, vwx31001)
new_primCmpInt(Neg(Succ(vwx30000)), Pos(vwx31000)) → LT
new_compare8(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), ty_Int) → new_compare7(new_sr(vwx3000, vwx31001), new_sr(vwx31000, vwx3001))
new_not(True) → False
new_compare16(vwx300, vwx3100, False) → GT
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_Ratio, eec)) → new_esEs18(vwx1420, vwx1430, eec)

The set Q consists of the following terms:

new_esEs8(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_ltEs19(x0, x1, ty_Double)
new_ltEs4(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs12(x0, x1, ty_Bool)
new_ltEs4(Left(x0), Left(x1), ty_Char, x2)
new_lt11(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, ty_@0)
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_compare4(x0, x1, ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs33(x0, x1, ty_Double)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_esEs15(x0, x1, ty_Ordering)
new_compare7(x0, x1)
new_ltEs19(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Double)
new_ltEs4(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, app(ty_Maybe, x2))
new_ltEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_lt19(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Ordering)
new_esEs15(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Succ(x0), Zero)
new_esEs27(x0, x1, ty_Integer)
new_esEs15(x0, x1, ty_Int)
new_ltEs4(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Char)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs11(EQ, EQ)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs14(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_compare28(x0, x1, False, x2, x3, x4)
new_compare9(Char(x0), Char(x1))
new_esEs32(x0, x1, ty_Char)
new_ltEs6(x0, x1)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_lt19(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(Just(x0), Nothing, x1)
new_lt7(LT, EQ)
new_lt7(EQ, LT)
new_esEs27(x0, x1, app(ty_[], x2))
new_primCompAux00(x0, LT)
new_compare8(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_ltEs15(Just(x0), Just(x1), ty_Double)
new_compare5(Double(x0, x1), Double(x2, x3))
new_esEs12(x0, x1, ty_@0)
new_esEs13(x0, x1, ty_Bool)
new_lt11(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs31(x0, x1, ty_Float)
new_ltEs15(Nothing, Just(x0), x1)
new_ltEs16(x0, x1, x2)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_esEs11(x0, x1, ty_Integer)
new_ltEs4(Left(x0), Left(x1), ty_@0, x2)
new_compare4(x0, x1, ty_Integer)
new_ltEs9(x0, x1)
new_ltEs4(Left(x0), Left(x1), ty_Integer, x2)
new_esEs34(x0, x1, ty_Int)
new_compare23(x0, x1, False, x2, x3)
new_lt15(Neg(Zero), Neg(Succ(x0)))
new_ltEs18(x0, x1, ty_Char)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs14(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs30(x0, x1, ty_Bool)
new_ltEs4(Left(x0), Left(x1), ty_Int, x2)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_compare4(x0, x1, ty_Bool)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_ltEs15(Just(x0), Nothing, x1)
new_compare0([], [], x0)
new_lt8(Right(x0), Left(x1), x2, x3)
new_lt8(Left(x0), Right(x1), x2, x3)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, ty_@0)
new_compare16(x0, x1, False)
new_esEs15(x0, x1, ty_Float)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1(x0, x1, False, x2, x3)
new_esEs11(x0, x1, ty_Double)
new_esEs14(x0, x1, ty_Double)
new_lt11(x0, x1, ty_@0)
new_ltEs4(Left(x0), Right(x1), x2, x3)
new_lt8(Left(x0), Left(x1), x2, x3)
new_ltEs4(Right(x0), Left(x1), x2, x3)
new_esEs17(False, False)
new_esEs10(x0, x1, ty_Double)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs14(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Just(x0), Just(x1), ty_Double)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(Just(x0), Just(x1), ty_Int)
new_lt19(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_compare4(x0, x1, ty_Double)
new_esEs14(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs28(x0, x1, ty_Int)
new_lt14(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt7(LT, LT)
new_esEs14(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_esEs26(x0, x1, ty_Float)
new_lt12(Double(x0, x1), Double(x2, x3))
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Char)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare10(x0, x1, True)
new_compare13(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False, x2, x3)
new_ltEs4(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt20(x0, x1, ty_Double)
new_ltEs18(x0, x1, ty_Float)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs33(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_primEqNat0(Zero, Zero)
new_pePe(False, x0, x1, x2, x3)
new_esEs32(x0, x1, ty_Float)
new_lt19(x0, x1, ty_@0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(Float(x0, x1), Float(x2, x3))
new_esEs31(x0, x1, ty_Bool)
new_lt8(Right(x0), Right(x1), x2, x3)
new_esEs34(x0, x1, ty_Double)
new_ltEs4(Right(x0), Right(x1), x2, ty_Bool)
new_compare27(x0, x1, False, x2)
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs7(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_lt13(@0, @0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs25([], [], x0)
new_primMulNat0(Zero, Zero)
new_lt11(x0, x1, ty_Integer)
new_ltEs4(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs15(Just(x0), Just(x1), ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs32(x0, x1, ty_Int)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_esEs25(:(x0, x1), [], x2)
new_esEs25([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Char)
new_esEs34(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_ltEs4(Right(x0), Right(x1), x2, ty_Float)
new_esEs30(x0, x1, ty_Char)
new_esEs19(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_compare4(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs15(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_ltEs19(x0, x1, ty_Float)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_lt6(Nothing, Nothing, x0)
new_ltEs15(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare4(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(Right(x0), Right(x1), x2, ty_Int)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs6(Nothing, Just(x0), x1)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_esEs16(GT, GT)
new_lt16(Integer(x0), Integer(x1))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs6(Just(x0), Nothing, x1)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, ty_Double)
new_pePe(True, x0, x1, x2, x3)
new_ltEs15(Just(x0), Just(x1), ty_Float)
new_lt11(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Integer)
new_esEs13(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Double)
new_compare14(x0, x1, True, x2)
new_compare15(x0, x1, x2, x3, ty_Int)
new_lt18([], [], x0)
new_esEs8(x0, x1, ty_Ordering)
new_compare12(x0, x1, False, x2, x3)
new_esEs15(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs30(x0, x1, ty_Double)
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Char)
new_compare26(x0, x1, False)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_compare11(Float(x0, x1), Float(x2, x3))
new_esEs9(x0, x1, ty_Ordering)
new_sr(x0, x1)
new_esEs8(x0, x1, ty_Double)
new_ltEs4(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare4(x0, x1, ty_Char)
new_lt9(True, True)
new_esEs30(x0, x1, ty_Float)
new_esEs12(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_[], x2))
new_compare25(x0, x1, True)
new_compare3(Integer(x0), Integer(x1))
new_lt7(GT, GT)
new_ltEs4(Left(x0), Left(x1), ty_Double, x2)
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_compare4(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_primPlusNat1(Zero, Zero)
new_lt19(x0, x1, ty_Double)
new_esEs13(x0, x1, ty_Int)
new_lt7(LT, GT)
new_lt7(GT, LT)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt20(x0, x1, ty_Int)
new_ltEs8(x0, x1)
new_ltEs10(False, False)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs14(x0, x1, ty_Ordering)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_compare25(x0, x1, False)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs34(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), ty_Int)
new_lt11(x0, x1, ty_Char)
new_ltEs15(Just(x0), Just(x1), app(ty_[], x2))
new_esEs8(x0, x1, ty_Int)
new_esEs10(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt6(Just(x0), Just(x1), x2)
new_compare8(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs32(x0, x1, ty_Bool)
new_esEs34(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Ordering)
new_lt18([], :(x0, x1), x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_lt11(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt15(Pos(Succ(x0)), Pos(x1))
new_lt18(:(x0, x1), [], x2)
new_primCmpNat0(Zero, Succ(x0))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt15(Neg(Zero), Pos(Succ(x0)))
new_lt15(Pos(Zero), Neg(Succ(x0)))
new_primCompAux00(x0, EQ)
new_compare15(x0, x1, x2, x3, ty_Integer)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs18(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_Float)
new_compare26(x0, x1, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(Integer(x0), Integer(x1))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_lt17(:%(x0, x1), :%(x2, x3), x4)
new_esEs27(x0, x1, ty_Int)
new_ltEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt7(EQ, EQ)
new_lt20(x0, x1, ty_Ordering)
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_lt15(Pos(Zero), Pos(Zero))
new_esEs12(x0, x1, ty_Int)
new_lt19(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_compare4(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Int)
new_ltEs15(Just(x0), Just(x1), ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_esEs10(x0, x1, ty_Float)
new_esEs31(x0, x1, ty_@0)
new_lt15(Pos(Zero), Pos(Succ(x0)))
new_ltEs4(Right(x0), Right(x1), x2, ty_@0)
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Integer)
new_lt9(False, False)
new_esEs24(Float(x0, x1), Float(x2, x3))
new_esEs34(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Ordering)
new_ltEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs9(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_@0)
new_primMulInt(Pos(x0), Pos(x1))
new_lt19(x0, x1, ty_Char)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, ty_@0)
new_lt11(x0, x1, ty_Double)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_esEs16(LT, LT)
new_ltEs19(x0, x1, ty_Bool)
new_esEs15(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(Nothing, Just(x0), x1)
new_lt15(Neg(Zero), Neg(Zero))
new_ltEs4(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Integer)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs33(x0, x1, ty_@0)
new_esEs34(x0, x1, ty_Ordering)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1, ty_Double)
new_esEs11(x0, x1, ty_@0)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs33(x0, x1, ty_Ordering)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs18(x0, x1, ty_Bool)
new_esEs33(x0, x1, ty_Bool)
new_esEs14(x0, x1, app(app(ty_@2, x2), x3))
new_compare1(x0, x1, True, x2, x3)
new_lt15(Neg(Succ(x0)), Pos(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_lt15(Pos(Succ(x0)), Neg(x1))
new_ltEs4(Left(x0), Left(x1), ty_Float, x2)
new_ltEs18(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_@0)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_@0)
new_compare6(@0, @0)
new_ltEs11(LT, LT)
new_ltEs4(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs10(x0, x1, ty_Char)
new_esEs15(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, LT)
new_ltEs11(LT, EQ)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_lt11(x0, x1, ty_Ordering)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs12(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_Ordering)
new_primEqNat0(Succ(x0), Zero)
new_primCmpNat0(Zero, Zero)
new_sr0(Integer(x0), Integer(x1))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, ty_Bool)
new_lt11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs32(x0, x1, ty_Ordering)
new_compare16(x0, x1, True)
new_ltEs10(True, True)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Double)
new_esEs13(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, ty_Float)
new_esEs14(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True, x2, x3)
new_lt11(x0, x1, ty_Float)
new_ltEs15(Just(x0), Just(x1), ty_@0)
new_esEs31(x0, x1, ty_Double)
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Double)
new_ltEs4(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare4(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_primCompAux0(x0, x1, x2, x3)
new_primMulNat0(Succ(x0), Zero)
new_esEs15(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs8(x0, x1, ty_Char)
new_esEs15(x0, x1, ty_Char)
new_ltEs15(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs25(:(x0, x1), :(x2, x3), x4)
new_esEs26(x0, x1, ty_Int)
new_esEs14(x0, x1, ty_Char)
new_ltEs4(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs15(Nothing, Nothing, x0)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs13(x0, x1, ty_Char)
new_not(True)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_asAs(True, x0)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs15(x0, x1, ty_@0)
new_lt7(GT, EQ)
new_lt7(EQ, GT)
new_esEs16(EQ, EQ)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_primPlusNat0(Succ(x0), x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs34(x0, x1, ty_@0)
new_ltEs18(x0, x1, ty_Int)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs8(x0, x1, ty_Bool)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs4(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs33(x0, x1, ty_Integer)
new_compare27(x0, x1, True, x2)
new_lt19(x0, x1, ty_Int)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs13(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs14(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_ltEs14(x0, x1)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(Char(x0), Char(x1))
new_compare4(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs11(x0, x1, ty_Float)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(@0, @0)
new_lt5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt20(x0, x1, ty_Integer)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(Neg(Succ(x0)), Neg(x1))
new_ltEs4(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs4(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs10(True, False)
new_ltEs10(False, True)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs12(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs17(True, False)
new_esEs17(False, True)
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt9(True, False)
new_lt9(False, True)
new_ltEs15(Just(x0), Just(x1), ty_Ordering)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_ltEs15(Just(x0), Just(x1), ty_Integer)
new_compare10(x0, x1, False)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Ordering)
new_compare13(x0, x1, False, x2, x3, x4)
new_primEqInt(Pos(Zero), Pos(Zero))
new_primCompAux00(x0, GT)
new_esEs17(True, True)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt18(:(x0, x1), :(x2, x3), x4)
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs15(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare12(x0, x1, True, x2, x3)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs4(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare4(x0, x1, app(ty_Maybe, x2))
new_esEs14(x0, x1, ty_Int)
new_lt15(Neg(Zero), Pos(Zero))
new_lt15(Pos(Zero), Neg(Zero))
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs33(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs13(x0, x1)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_esEs34(x0, x1, app(ty_[], x2))
new_compare4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(x0, x1, x2)
new_esEs18(:%(x0, x1), :%(x2, x3), x4)
new_compare14(x0, x1, False, x2)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt4(Char(x0), Char(x1))
new_ltEs4(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs4(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Bool)
new_ltEs18(x0, x1, ty_Double)
new_primMulNat0(Succ(x0), Succ(x1))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs15(x0, x1, ty_Double)
new_ltEs11(GT, GT)
new_esEs14(x0, x1, app(ty_Maybe, x2))

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

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

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

new_lt2(:(vwx3000, vwx3001), :(vwx31000, vwx31001), bfa) → new_primCompAux(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, bfa), bfa)
new_primCompAux(vwx300, vwx3100, vwx186, app(app(ty_@2, hf), hg)) → new_compare2(vwx300, vwx3100, new_esEs4(vwx300, vwx3100, hf, hg), hf, hg)
new_compare2(vwx300, vwx3100, False, hf, hg) → new_ltEs(vwx300, vwx3100, hf, hg)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(app(app(ty_@3, fh), ga), gb)) → new_ltEs3(vwx3000, vwx31000, fh, ga, gb)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(app(app(ty_@3, ee), ef), eg), dh) → new_ltEs3(vwx3000, vwx31000, ee, ef, eg)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(ty_[], db), ce) → new_lt2(vwx3000, vwx31000, db)
new_lt1(Just(vwx3000), Just(vwx31000), beh) → new_compare21(Just(vwx3000), Just(vwx31000), new_esEs12(vwx3000, vwx31000, beh), beh)
new_lt0(Right(vwx3000), Left(vwx31000), bef, beg) → new_compare20(Right(vwx3000), Left(vwx31000), False, bef, beg)
new_lt0(Left(vwx3000), Right(vwx31000), bef, beg) → new_compare20(Left(vwx3000), Right(vwx31000), False, bef, beg)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(ty_[], bcg), bcc) → new_lt2(vwx3001, vwx31001, bcg)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(app(app(ty_@3, dc), dd), de), ce) → new_lt3(vwx3000, vwx31000, dc, dd, de)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(app(ty_@2, bdc), bdd), bag, bcc) → new_lt(vwx3000, vwx31000, bdc, bdd)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(ty_Maybe, gg)) → new_ltEs1(vwx3000, vwx31000, gg)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(ty_[], bdh), bag, bcc) → new_lt2(vwx3000, vwx31000, bdh)
new_compare22(vwx300, vwx3100, False, bac, bad, bae) → new_ltEs3(vwx300, vwx3100, bac, bad, bae)
new_lt3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), bfb, bfc, bfd) → new_compare22(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), new_asAs(new_esEs15(vwx3000, vwx31000, bfb), new_asAs(new_esEs14(vwx3001, vwx31001, bfc), new_esEs13(vwx3002, vwx31002, bfd))), bfb, bfc, bfd)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(app(ty_Either, ea), eb), dh) → new_ltEs0(vwx3000, vwx31000, ea, eb)
new_lt(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), bed, bee) → new_compare2(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), new_asAs(new_esEs9(vwx3000, vwx31000, bed), new_esEs8(vwx3001, vwx31001, bee)), bed, bee)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(ty_[], bbe)) → new_ltEs2(vwx3002, vwx31002, bbe)
new_primCompAux(vwx300, vwx3100, vwx186, app(ty_[], he)) → new_compare(vwx300, vwx3100, he)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(app(ty_Either, ge), gf)) → new_ltEs0(vwx3000, vwx31000, ge, gf)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(app(ty_@2, cc), cd), ce) → new_lt(vwx3000, vwx31000, cc, cd)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(app(ty_Either, bbb), bbc)) → new_ltEs0(vwx3002, vwx31002, bbb, bbc)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(app(app(ty_@3, ha), hb), hc)) → new_ltEs3(vwx3000, vwx31000, ha, hb, hc)
new_ltEs2(vwx300, vwx3100, hd) → new_compare(vwx300, vwx3100, hd)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(app(ty_@2, fa), fb)) → new_ltEs(vwx3000, vwx31000, fa, fb)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(ty_Maybe, bbd)) → new_ltEs1(vwx3002, vwx31002, bbd)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(ty_Maybe, da), ce) → new_lt1(vwx3000, vwx31000, da)
new_compare20(vwx300, vwx3100, False, hh, baa) → new_ltEs0(vwx300, vwx3100, hh, baa)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(app(ty_@2, df), dg), dh) → new_ltEs(vwx3000, vwx31000, df, dg)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(app(app(ty_@3, bh), ca), cb)) → new_ltEs3(vwx3001, vwx31001, bh, ca, cb)
new_lt1(Just(vwx3000), Nothing, beh) → new_compare21(Just(vwx3000), Nothing, False, beh)
new_lt1(Nothing, Just(vwx31000), beh) → new_compare21(Nothing, Just(vwx31000), False, beh)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(ty_[], ed), dh) → new_ltEs2(vwx3000, vwx31000, ed)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(app(ty_@2, bah), bba)) → new_ltEs(vwx3002, vwx31002, bah, bba)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(app(ty_Either, fc), fd)) → new_ltEs0(vwx3000, vwx31000, fc, fd)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(app(ty_@2, bca), bcb), bcc) → new_lt(vwx3001, vwx31001, bca, bcb)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, app(app(app(ty_@3, bbf), bbg), bbh)) → new_ltEs3(vwx3002, vwx31002, bbf, bbg, bbh)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(ty_Maybe, bcf), bcc) → new_lt1(vwx3001, vwx31001, bcf)
new_primCompAux(vwx300, vwx3100, vwx186, app(ty_Maybe, bab)) → new_compare21(vwx300, vwx3100, new_esEs6(vwx300, vwx3100, bab), bab)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), app(app(ty_Either, cf), cg), ce) → new_lt0(vwx3000, vwx31000, cf, cg)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(app(app(ty_@3, bea), beb), bec), bag, bcc) → new_lt3(vwx3000, vwx31000, bea, beb, bec)
new_compare(:(vwx3000, vwx3001), :(vwx31000, vwx31001), he) → new_compare(vwx3001, vwx31001, he)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(ty_Maybe, bdg), bag, bcc) → new_lt1(vwx3000, vwx31000, bdg)
new_compare(:(vwx3000, vwx3001), :(vwx31000, vwx31001), he) → new_primCompAux(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, he), he)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(ty_Maybe, bf)) → new_ltEs1(vwx3001, vwx31001, bf)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(app(ty_@2, bb), bc)) → new_ltEs(vwx3001, vwx31001, bb, bc)
new_lt2(:(vwx3000, vwx3001), :(vwx31000, vwx31001), bfa) → new_compare(vwx3001, vwx31001, bfa)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(app(app(ty_@3, bch), bda), bdb), bcc) → new_lt3(vwx3001, vwx31001, bch, bda, bdb)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(ty_[], bg)) → new_ltEs2(vwx3001, vwx31001, bg)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, app(app(ty_Either, bcd), bce), bcc) → new_lt0(vwx3001, vwx31001, bcd, bce)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(app(ty_@2, gc), gd)) → new_ltEs(vwx3000, vwx31000, gc, gd)
new_ltEs(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, app(app(ty_Either, bd), be)) → new_ltEs0(vwx3001, vwx31001, bd, be)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(ty_[], fg)) → new_ltEs2(vwx3000, vwx31000, fg)
new_lt0(Right(vwx3000), Right(vwx31000), bef, beg) → new_compare20(Right(vwx3000), Right(vwx31000), new_esEs11(vwx3000, vwx31000, beg), bef, beg)
new_ltEs1(Just(vwx3000), Just(vwx31000), app(ty_[], gh)) → new_ltEs2(vwx3000, vwx31000, gh)
new_primCompAux(vwx300, vwx3100, vwx186, app(app(app(ty_@3, bac), bad), bae)) → new_compare22(vwx300, vwx3100, new_esEs7(vwx300, vwx3100, bac, bad, bae), bac, bad, bae)
new_ltEs0(Right(vwx3000), Right(vwx31000), eh, app(ty_Maybe, ff)) → new_ltEs1(vwx3000, vwx31000, ff)
new_ltEs3(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), app(app(ty_Either, bde), bdf), bag, bcc) → new_lt0(vwx3000, vwx31000, bde, bdf)
new_lt0(Left(vwx3000), Left(vwx31000), bef, beg) → new_compare20(Left(vwx3000), Left(vwx31000), new_esEs10(vwx3000, vwx31000, bef), bef, beg)
new_compare21(vwx300, vwx3100, False, bab) → new_ltEs1(vwx300, vwx3100, bab)
new_primCompAux(vwx300, vwx3100, vwx186, app(app(ty_Either, hh), baa)) → new_compare20(vwx300, vwx3100, new_esEs5(vwx300, vwx3100, hh, baa), hh, baa)
new_ltEs0(Left(vwx3000), Left(vwx31000), app(ty_Maybe, ec), dh) → new_ltEs1(vwx3000, vwx31000, ec)

The TRS R consists of the following rules:

new_esEs30(vwx1422, vwx1432, app(ty_Maybe, chg)) → new_esEs6(vwx1422, vwx1432, chg)
new_lt8(Left(vwx3000), Left(vwx31000), bef, beg) → new_esEs16(new_compare24(Left(vwx3000), Left(vwx31000), new_esEs10(vwx3000, vwx31000, bef), bef, beg), LT)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Ordering) → new_ltEs11(vwx3000, vwx31000)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_esEs32(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Integer, dh) → new_ltEs9(vwx3000, vwx31000)
new_ltEs11(LT, GT) → True
new_compare9(Char(vwx3000), Char(vwx31000)) → new_primCmpNat0(vwx3000, vwx31000)
new_ltEs10(False, True) → True
new_lt20(vwx3000, vwx31000, app(ty_[], bdh)) → new_lt18(vwx3000, vwx31000, bdh)
new_lt8(Right(vwx3000), Right(vwx31000), bef, beg) → new_esEs16(new_compare24(Right(vwx3000), Right(vwx31000), new_esEs11(vwx3000, vwx31000, beg), bef, beg), LT)
new_lt19(vwx3001, vwx31001, ty_Char) → new_lt4(vwx3001, vwx31001)
new_esEs10(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_esEs27(vwx142, vwx143, app(ty_Ratio, ccd)) → new_esEs18(vwx142, vwx143, ccd)
new_lt11(vwx3000, vwx31000, ty_Bool) → new_lt9(vwx3000, vwx31000)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Char) → new_esEs20(vwx1420, vwx1430)
new_lt6(Nothing, Just(vwx31000), beh) → new_esEs16(new_compare27(Nothing, Just(vwx31000), False, beh), LT)
new_lt6(Just(vwx3000), Nothing, beh) → new_esEs16(new_compare27(Just(vwx3000), Nothing, False, beh), LT)
new_primCompAux0(vwx300, vwx3100, vwx186, cch) → new_primCompAux00(vwx186, new_compare4(vwx300, vwx3100, cch))
new_esEs26(vwx1420, vwx1430, app(ty_[], caa)) → new_esEs25(vwx1420, vwx1430, caa)
new_ltEs18(vwx3001, vwx31001, app(ty_Ratio, eeh)) → new_ltEs12(vwx3001, vwx31001, eeh)
new_esEs27(vwx142, vwx143, ty_Bool) → new_esEs17(vwx142, vwx143)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Int) → new_ltEs8(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, app(ty_Ratio, efe)) → new_ltEs12(vwx3002, vwx31002, efe)
new_esEs13(vwx3002, vwx31002, app(ty_Maybe, cfc)) → new_esEs6(vwx3002, vwx31002, cfc)
new_esEs20(Char(vwx100), Char(vwx120)) → new_primEqNat0(vwx100, vwx120)
new_compare4(vwx300, vwx3100, ty_@0) → new_compare6(vwx300, vwx3100)
new_compare4(vwx300, vwx3100, ty_Int) → new_compare7(vwx300, vwx3100)
new_primMulNat0(Zero, Zero) → Zero
new_esEs11(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_compare13(vwx300, vwx3100, False, bac, bad, bae) → GT
new_ltEs18(vwx3001, vwx31001, ty_Int) → new_ltEs8(vwx3001, vwx31001)
new_esEs31(vwx1421, vwx1431, app(ty_[], dbd)) → new_esEs25(vwx1421, vwx1431, dbd)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Bool) → new_ltEs10(vwx3000, vwx31000)
new_ltEs15(Nothing, Just(vwx31000), efc) → True
new_ltEs19(vwx3002, vwx31002, app(ty_Maybe, bbd)) → new_ltEs15(vwx3002, vwx31002, bbd)
new_lt18(:(vwx3000, vwx3001), :(vwx31000, vwx31001), bfa) → new_esEs16(new_primCompAux0(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, bfa), bfa), LT)
new_esEs9(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_lt11(vwx3000, vwx31000, app(app(ty_@2, cc), cd)) → new_lt14(vwx3000, vwx31000, cc, cd)
new_esEs24(Float(vwx100, vwx101), Float(vwx120, vwx121)) → new_esEs19(new_sr(vwx100, vwx120), new_sr(vwx101, vwx121))
new_esEs13(vwx3002, vwx31002, ty_Integer) → new_esEs23(vwx3002, vwx31002)
new_esEs34(vwx1420, vwx1430, app(app(ty_Either, dhh), eaa)) → new_esEs5(vwx1420, vwx1430, dhh, eaa)
new_ltEs19(vwx3002, vwx31002, ty_Integer) → new_ltEs9(vwx3002, vwx31002)
new_esEs26(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_esEs13(vwx3002, vwx31002, ty_Double) → new_esEs22(vwx3002, vwx31002)
new_lt9(False, False) → new_esEs16(new_compare25(False, False, True), LT)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_esEs32(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_lt15(Neg(Zero), Neg(Zero)) → new_esEs16(EQ, LT)
new_esEs17(True, True) → True
new_ltEs16(vwx300, vwx3100, hd) → new_not(new_esEs16(new_compare0(vwx300, vwx3100, hd), GT))
new_esEs32(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_lt6(Nothing, Nothing, beh) → new_esEs16(new_compare27(Nothing, Nothing, True, beh), LT)
new_esEs32(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_esEs28(vwx101, vwx121, ty_Integer) → new_esEs23(vwx101, vwx121)
new_compare0(:(vwx3000, vwx3001), :(vwx31000, vwx31001), he) → new_primCompAux0(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, he), he)
new_esEs32(vwx1420, vwx1430, app(app(ty_@2, dcd), dce)) → new_esEs4(vwx1420, vwx1430, dcd, dce)
new_esEs15(vwx3000, vwx31000, app(app(ty_@2, cea), ceb)) → new_esEs4(vwx3000, vwx31000, cea, ceb)
new_lt8(Left(vwx3000), Right(vwx31000), bef, beg) → new_esEs16(new_compare24(Left(vwx3000), Right(vwx31000), False, bef, beg), LT)
new_lt8(Right(vwx3000), Left(vwx31000), bef, beg) → new_esEs16(new_compare24(Right(vwx3000), Left(vwx31000), False, bef, beg), LT)
new_esEs27(vwx142, vwx143, app(ty_Maybe, cce)) → new_esEs6(vwx142, vwx143, cce)
new_lt20(vwx3000, vwx31000, ty_Integer) → new_lt16(vwx3000, vwx31000)
new_compare28(vwx300, vwx3100, False, bac, bad, bae) → new_compare13(vwx300, vwx3100, new_ltEs17(vwx300, vwx3100, bac, bad, bae), bac, bad, bae)
new_esEs8(vwx3001, vwx31001, ty_Double) → new_esEs22(vwx3001, vwx31001)
new_esEs12(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, ty_Bool) → new_ltEs10(vwx3001, vwx31001)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Bool, dh) → new_ltEs10(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs7(vwx3000, vwx31000, ddb, ddc, ddd)
new_esEs27(vwx142, vwx143, ty_Float) → new_esEs24(vwx142, vwx143)
new_compare4(vwx300, vwx3100, ty_Float) → new_compare11(vwx300, vwx3100)
new_ltEs10(False, False) → True
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_@0) → new_ltEs6(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, app(app(ty_@2, eca), ecb)) → new_esEs4(vwx3001, vwx31001, eca, ecb)
new_esEs33(vwx1421, vwx1431, ty_Bool) → new_esEs17(vwx1421, vwx1431)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(app(ty_@3, ee), ef), eg), dh) → new_ltEs17(vwx3000, vwx31000, ee, ef, eg)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(ty_[], dge)) → new_esEs25(vwx1420, vwx1430, dge)
new_esEs27(vwx142, vwx143, ty_Double) → new_esEs22(vwx142, vwx143)
new_esEs14(vwx3001, vwx31001, ty_Char) → new_esEs20(vwx3001, vwx31001)
new_lt20(vwx3000, vwx31000, ty_Char) → new_lt4(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_Maybe, deh), cbh) → new_esEs6(vwx1420, vwx1430, deh)
new_ltEs19(vwx3002, vwx31002, app(app(ty_Either, bbb), bbc)) → new_ltEs4(vwx3002, vwx31002, bbb, bbc)
new_compare1(vwx300, vwx3100, False, hf, hg) → GT
new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, ty_Integer) → new_compare3(new_sr0(vwx3000, vwx31001), new_sr0(vwx31000, vwx3001))
new_esEs15(vwx3000, vwx31000, app(app(ty_Either, cdb), cdc)) → new_esEs5(vwx3000, vwx31000, cdb, cdc)
new_esEs34(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_compare27(vwx300, vwx3100, False, bab) → new_compare14(vwx300, vwx3100, new_ltEs15(vwx300, vwx3100, bab), bab)
new_compare6(@0, @0) → EQ
new_esEs8(vwx3001, vwx31001, app(ty_[], ecc)) → new_esEs25(vwx3001, vwx31001, ecc)
new_esEs34(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_esEs26(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_lt20(vwx3000, vwx31000, ty_Float) → new_lt10(vwx3000, vwx31000)
new_esEs25([], [], bgg) → True
new_esEs27(vwx142, vwx143, app(ty_[], bgg)) → new_esEs25(vwx142, vwx143, bgg)
new_esEs11(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, app(ty_[], cgh)) → new_esEs25(vwx3000, vwx31000, cgh)
new_lt20(vwx3000, vwx31000, ty_Double) → new_lt12(vwx3000, vwx31000)
new_lt19(vwx3001, vwx31001, app(ty_Ratio, eff)) → new_lt17(vwx3001, vwx31001, eff)
new_esEs33(vwx1421, vwx1431, app(app(app(ty_@3, dgh), dha), dhb)) → new_esEs7(vwx1421, vwx1431, dgh, dha, dhb)
new_lt20(vwx3000, vwx31000, app(app(ty_@2, bdc), bdd)) → new_lt14(vwx3000, vwx31000, bdc, bdd)
new_esEs27(vwx142, vwx143, ty_Ordering) → new_esEs16(vwx142, vwx143)
new_esEs15(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(app(ty_Either, fc), fd)) → new_ltEs4(vwx3000, vwx31000, fc, fd)
new_esEs32(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_esEs33(vwx1421, vwx1431, ty_Float) → new_esEs24(vwx1421, vwx1431)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Char) → new_ltEs13(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Right(vwx31000), eh, dh) → True
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(app(ty_@2, dgc), dgd)) → new_esEs4(vwx1420, vwx1430, dgc, dgd)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_Maybe, gg)) → new_ltEs15(vwx3000, vwx31000, gg)
new_esEs27(vwx142, vwx143, ty_Int) → new_esEs19(vwx142, vwx143)
new_ltEs19(vwx3002, vwx31002, ty_Int) → new_ltEs8(vwx3002, vwx31002)
new_primCmpNat0(Zero, Succ(vwx310000)) → LT
new_esEs27(vwx142, vwx143, app(app(app(ty_@3, cca), ccb), ccc)) → new_esEs7(vwx142, vwx143, cca, ccb, ccc)
new_esEs33(vwx1421, vwx1431, ty_Char) → new_esEs20(vwx1421, vwx1431)
new_esEs31(vwx1421, vwx1431, app(app(ty_@2, dbb), dbc)) → new_esEs4(vwx1421, vwx1431, dbb, dbc)
new_lt12(Double(vwx3000, vwx3001), Double(vwx31000, vwx31001)) → new_esEs16(new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001)), LT)
new_esEs9(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, ty_@0) → new_ltEs6(vwx3001, vwx31001)
new_lt19(vwx3001, vwx31001, ty_Bool) → new_lt9(vwx3001, vwx31001)
new_esEs32(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_compare4(vwx300, vwx3100, ty_Ordering) → new_compare26(vwx300, vwx3100, new_esEs16(vwx300, vwx3100))
new_esEs34(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_esEs12(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_@0) → new_esEs21(vwx1420, vwx1430)
new_lt15(Neg(Succ(vwx30000)), Neg(vwx31000)) → new_esEs16(new_primCmpNat0(vwx31000, Succ(vwx30000)), LT)
new_esEs13(vwx3002, vwx31002, ty_Bool) → new_esEs17(vwx3002, vwx31002)
new_esEs30(vwx1422, vwx1432, ty_@0) → new_esEs21(vwx1422, vwx1432)
new_esEs15(vwx3000, vwx31000, app(ty_Ratio, cdg)) → new_esEs18(vwx3000, vwx31000, cdg)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_compare0([], [], he) → EQ
new_primEqNat0(Zero, Zero) → True
new_lt20(vwx3000, vwx31000, app(ty_Maybe, bdg)) → new_lt6(vwx3000, vwx31000, bdg)
new_compare24(vwx300, vwx3100, False, hh, baa) → new_compare12(vwx300, vwx3100, new_ltEs4(vwx300, vwx3100, hh, baa), hh, baa)
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(app(ty_@3, edh), eea), eeb)) → new_esEs7(vwx1420, vwx1430, edh, eea, eeb)
new_esEs13(vwx3002, vwx31002, ty_Int) → new_esEs19(vwx3002, vwx31002)
new_compare26(vwx300, vwx3100, True) → EQ
new_esEs8(vwx3001, vwx31001, ty_Char) → new_esEs20(vwx3001, vwx31001)
new_esEs26(vwx1420, vwx1430, app(ty_Maybe, bhf)) → new_esEs6(vwx1420, vwx1430, bhf)
new_lt20(vwx3000, vwx31000, ty_Int) → new_lt15(vwx3000, vwx31000)
new_esEs10(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs15(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_esEs9(vwx3000, vwx31000, app(ty_Maybe, cbb)) → new_esEs6(vwx3000, vwx31000, cbb)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Float) → new_ltEs14(vwx3000, vwx31000)
new_esEs17(False, False) → True
new_esEs14(vwx3001, vwx31001, ty_Bool) → new_esEs17(vwx3001, vwx31001)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_Maybe, ec), dh) → new_ltEs15(vwx3000, vwx31000, ec)
new_esEs17(True, False) → False
new_esEs17(False, True) → False
new_ltEs8(vwx300, vwx3100) → new_not(new_esEs16(new_compare7(vwx300, vwx3100), GT))
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(ty_Either, ge), gf)) → new_ltEs4(vwx3000, vwx31000, ge, gf)
new_lt4(Char(vwx3000), Char(vwx31000)) → new_esEs16(new_primCmpNat0(vwx3000, vwx31000), LT)
new_sr(vwx300, vwx3101) → new_primMulInt(vwx300, vwx3101)
new_esEs15(vwx3000, vwx31000, app(ty_Maybe, cdh)) → new_esEs6(vwx3000, vwx31000, cdh)
new_compare12(vwx300, vwx3100, False, hh, baa) → GT
new_compare7(vwx300, vwx3100) → new_primCmpInt(vwx300, vwx3100)
new_lt11(vwx3000, vwx31000, ty_Int) → new_lt15(vwx3000, vwx31000)
new_esEs18(:%(vwx100, vwx101), :%(vwx120, vwx121), ced) → new_asAs(new_esEs29(vwx100, vwx120, ced), new_esEs28(vwx101, vwx121, ced))
new_esEs9(vwx3000, vwx31000, app(app(app(ty_@3, caf), cag), cah)) → new_esEs7(vwx3000, vwx31000, caf, cag, cah)
new_esEs30(vwx1422, vwx1432, ty_Bool) → new_esEs17(vwx1422, vwx1432)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Integer) → new_ltEs9(vwx3000, vwx31000)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(ty_Ratio, dga)) → new_esEs18(vwx1420, vwx1430, dga)
new_esEs31(vwx1421, vwx1431, app(app(app(ty_@3, dae), daf), dag)) → new_esEs7(vwx1421, vwx1431, dae, daf, dag)
new_esEs13(vwx3002, vwx31002, ty_Ordering) → new_esEs16(vwx3002, vwx31002)
new_esEs33(vwx1421, vwx1431, ty_Double) → new_esEs22(vwx1421, vwx1431)
new_esEs9(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_primPlusNat0(Succ(vwx2580), vwx310100) → Succ(Succ(new_primPlusNat1(vwx2580, vwx310100)))
new_esEs11(vwx3000, vwx31000, app(app(ty_@2, ddg), ddh)) → new_esEs4(vwx3000, vwx31000, ddg, ddh)
new_esEs30(vwx1422, vwx1432, ty_Int) → new_esEs19(vwx1422, vwx1432)
new_lt20(vwx3000, vwx31000, ty_Bool) → new_lt9(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_@0) → new_ltEs6(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, ty_Bool) → new_esEs17(vwx3001, vwx31001)
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_[], eeg)) → new_esEs25(vwx1420, vwx1430, eeg)
new_esEs26(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_esEs27(vwx142, vwx143, ty_@0) → new_esEs21(vwx142, vwx143)
new_lt15(Pos(Succ(vwx30000)), Pos(vwx31000)) → new_esEs16(new_primCmpNat0(Succ(vwx30000), vwx31000), LT)
new_esEs30(vwx1422, vwx1432, ty_Integer) → new_esEs23(vwx1422, vwx1432)
new_primEqInt(Neg(Succ(vwx1000)), Neg(Succ(vwx1200))) → new_primEqNat0(vwx1000, vwx1200)
new_compare25(vwx300, vwx3100, True) → EQ
new_esEs10(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_lt11(vwx3000, vwx31000, ty_Ordering) → new_lt7(vwx3000, vwx31000)
new_lt5(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), bfb, bfc, bfd) → new_esEs16(new_compare28(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), new_asAs(new_esEs15(vwx3000, vwx31000, bfb), new_asAs(new_esEs14(vwx3001, vwx31001, bfc), new_esEs13(vwx3002, vwx31002, bfd))), bfb, bfc, bfd), LT)
new_esEs14(vwx3001, vwx31001, app(ty_Ratio, bgb)) → new_esEs18(vwx3001, vwx31001, bgb)
new_ltEs19(vwx3002, vwx31002, ty_Double) → new_ltEs5(vwx3002, vwx31002)
new_primPlusNat1(Zero, Succ(vwx3101000)) → Succ(vwx3101000)
new_primPlusNat1(Succ(vwx25800), Zero) → Succ(vwx25800)
new_esEs31(vwx1421, vwx1431, ty_Double) → new_esEs22(vwx1421, vwx1431)
new_esEs26(vwx1420, vwx1430, app(app(app(ty_@3, bhb), bhc), bhd)) → new_esEs7(vwx1420, vwx1430, bhb, bhc, bhd)
new_compare16(vwx300, vwx3100, True) → LT
new_esEs27(vwx142, vwx143, ty_Char) → new_esEs20(vwx142, vwx143)
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(app(ty_@3, ded), dee), def), cbh) → new_esEs7(vwx1420, vwx1430, ded, dee, def)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_lt15(Pos(Zero), Neg(Succ(vwx310000))) → new_esEs16(GT, LT)
new_lt20(vwx3000, vwx31000, ty_Ordering) → new_lt7(vwx3000, vwx31000)
new_lt7(EQ, LT) → new_esEs16(new_compare26(EQ, LT, False), LT)
new_lt7(LT, EQ) → new_esEs16(new_compare26(LT, EQ, False), LT)
new_esEs27(vwx142, vwx143, app(app(ty_Either, cbg), cbh)) → new_esEs5(vwx142, vwx143, cbg, cbh)
new_esEs34(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_[], ed), dh) → new_ltEs16(vwx3000, vwx31000, ed)
new_esEs30(vwx1422, vwx1432, app(app(app(ty_@3, chc), chd), che)) → new_esEs7(vwx1422, vwx1432, chc, chd, che)
new_lt15(Pos(Succ(vwx30000)), Neg(vwx31000)) → new_esEs16(GT, LT)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(ty_Either, ea), eb), dh) → new_ltEs4(vwx3000, vwx31000, ea, eb)
new_primEqInt(Neg(Succ(vwx1000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(vwx1200))) → False
new_esEs11(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_esEs15(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(ty_@2, gc), gd)) → new_ltEs7(vwx3000, vwx31000, gc, gd)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(ty_[], fg)) → new_ltEs16(vwx3000, vwx31000, fg)
new_compare4(vwx300, vwx3100, app(app(app(ty_@3, bac), bad), bae)) → new_compare28(vwx300, vwx3100, new_esEs7(vwx300, vwx3100, bac, bad, bae), bac, bad, bae)
new_esEs31(vwx1421, vwx1431, app(ty_Ratio, dah)) → new_esEs18(vwx1421, vwx1431, dah)
new_compare5(Double(vwx3000, vwx3001), Double(vwx31000, vwx31001)) → new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001))
new_esEs10(vwx3000, vwx31000, app(app(app(ty_@3, ecf), ecg), ech)) → new_esEs7(vwx3000, vwx31000, ecf, ecg, ech)
new_esEs14(vwx3001, vwx31001, app(ty_Maybe, bgc)) → new_esEs6(vwx3001, vwx31001, bgc)
new_compare4(vwx300, vwx3100, app(app(ty_@2, hf), hg)) → new_compare23(vwx300, vwx3100, new_esEs4(vwx300, vwx3100, hf, hg), hf, hg)
new_esEs31(vwx1421, vwx1431, app(app(ty_Either, dac), dad)) → new_esEs5(vwx1421, vwx1431, dac, dad)
new_compare24(vwx300, vwx3100, True, hh, baa) → EQ
new_esEs15(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_lt7(GT, GT) → new_esEs16(new_compare26(GT, GT, True), LT)
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_compare4(vwx300, vwx3100, ty_Char) → new_compare9(vwx300, vwx3100)
new_esEs28(vwx101, vwx121, ty_Int) → new_esEs19(vwx101, vwx121)
new_primCmpNat0(Succ(vwx30000), Succ(vwx310000)) → new_primCmpNat0(vwx30000, vwx310000)
new_lt19(vwx3001, vwx31001, app(app(ty_Either, bcd), bce)) → new_lt8(vwx3001, vwx31001, bcd, bce)
new_lt15(Pos(Zero), Pos(Succ(vwx310000))) → new_esEs16(new_primCmpNat0(Zero, Succ(vwx310000)), LT)
new_esEs6(Nothing, Nothing, cce) → True
new_ltEs14(vwx300, vwx3100) → new_not(new_esEs16(new_compare11(vwx300, vwx3100), GT))
new_lt18([], [], bfa) → new_esEs16(EQ, LT)
new_primEqInt(Pos(Succ(vwx1000)), Pos(Succ(vwx1200))) → new_primEqNat0(vwx1000, vwx1200)
new_compare4(vwx300, vwx3100, app(app(ty_Either, hh), baa)) → new_compare24(vwx300, vwx3100, new_esEs5(vwx300, vwx3100, hh, baa), hh, baa)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Int, dh) → new_ltEs8(vwx3000, vwx31000)
new_compare12(vwx300, vwx3100, True, hh, baa) → LT
new_esEs15(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Ordering) → new_ltEs11(vwx3000, vwx31000)
new_compare14(vwx300, vwx3100, False, bab) → GT
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(app(ty_Either, dfd), dfe)) → new_esEs5(vwx1420, vwx1430, dfd, dfe)
new_compare4(vwx300, vwx3100, app(ty_[], he)) → new_compare0(vwx300, vwx3100, he)
new_esEs6(Nothing, Just(vwx1430), cce) → False
new_esEs6(Just(vwx1420), Nothing, cce) → False
new_primEqNat0(Succ(vwx1000), Succ(vwx1200)) → new_primEqNat0(vwx1000, vwx1200)
new_lt14(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), bed, bee) → new_esEs16(new_compare23(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), new_asAs(new_esEs9(vwx3000, vwx31000, bed), new_esEs8(vwx3001, vwx31001, bee)), bed, bee), LT)
new_lt19(vwx3001, vwx31001, ty_@0) → new_lt13(vwx3001, vwx31001)
new_esEs33(vwx1421, vwx1431, app(ty_Ratio, dhc)) → new_esEs18(vwx1421, vwx1431, dhc)
new_esEs30(vwx1422, vwx1432, app(ty_Ratio, chf)) → new_esEs18(vwx1422, vwx1432, chf)
new_esEs30(vwx1422, vwx1432, ty_Double) → new_esEs22(vwx1422, vwx1432)
new_primCompAux00(vwx204, LT) → LT
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Char, dh) → new_ltEs13(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_primCmpInt(Neg(Succ(vwx30000)), Neg(vwx31000)) → new_primCmpNat0(vwx31000, Succ(vwx30000))
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Int, cbh) → new_esEs19(vwx1420, vwx1430)
new_esEs26(vwx1420, vwx1430, app(app(ty_@2, bhg), bhh)) → new_esEs4(vwx1420, vwx1430, bhg, bhh)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Float) → new_esEs24(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, ty_Char) → new_ltEs13(vwx3001, vwx31001)
new_esEs12(vwx3000, vwx31000, app(ty_Ratio, cgd)) → new_esEs18(vwx3000, vwx31000, cgd)
new_primEqInt(Pos(Succ(vwx1000)), Pos(Zero)) → False
new_esEs34(vwx1420, vwx1430, app(app(app(ty_@3, eab), eac), ead)) → new_esEs7(vwx1420, vwx1430, eab, eac, ead)
new_primEqInt(Pos(Zero), Pos(Succ(vwx1200))) → False
new_esEs31(vwx1421, vwx1431, ty_Bool) → new_esEs17(vwx1421, vwx1431)
new_lt20(vwx3000, vwx31000, app(ty_Ratio, efg)) → new_lt17(vwx3000, vwx31000, efg)
new_esEs21(@0, @0) → True
new_esEs12(vwx3000, vwx31000, app(app(app(ty_@3, cga), cgb), cgc)) → new_esEs7(vwx3000, vwx31000, cga, cgb, cgc)
new_esEs30(vwx1422, vwx1432, ty_Float) → new_esEs24(vwx1422, vwx1432)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_primCmpNat0(Succ(vwx30000), Zero) → GT
new_esEs32(vwx1420, vwx1430, app(ty_Maybe, dcc)) → new_esEs6(vwx1420, vwx1430, dcc)
new_primCmpInt(Neg(Zero), Pos(Succ(vwx310000))) → LT
new_compare23(vwx300, vwx3100, False, hf, hg) → new_compare1(vwx300, vwx3100, new_ltEs7(vwx300, vwx3100, hf, hg), hf, hg)
new_esEs10(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(app(app(ty_@3, fh), ga), gb)) → new_ltEs17(vwx3000, vwx31000, fh, ga, gb)
new_sr0(Integer(vwx3000), Integer(vwx31010)) → Integer(new_primMulInt(vwx3000, vwx31010))
new_primPlusNat1(Succ(vwx25800), Succ(vwx3101000)) → Succ(Succ(new_primPlusNat1(vwx25800, vwx3101000)))
new_esEs9(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Int) → new_ltEs8(vwx3000, vwx31000)
new_primEqInt(Pos(Succ(vwx1000)), Neg(vwx120)) → False
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_Ratio, deg), cbh) → new_esEs18(vwx1420, vwx1430, deg)
new_primEqInt(Neg(Succ(vwx1000)), Pos(vwx120)) → False
new_lt19(vwx3001, vwx31001, app(ty_Maybe, bcf)) → new_lt6(vwx3001, vwx31001, bcf)
new_esEs9(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs26(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, app(app(ty_Either, bd), be)) → new_ltEs4(vwx3001, vwx31001, bd, be)
new_lt16(Integer(vwx3000), Integer(vwx31000)) → new_esEs16(new_primCmpInt(vwx3000, vwx31000), LT)
new_esEs8(vwx3001, vwx31001, app(app(ty_Either, ebb), ebc)) → new_esEs5(vwx3001, vwx31001, ebb, ebc)
new_esEs32(vwx1420, vwx1430, app(app(ty_Either, dbe), dbf)) → new_esEs5(vwx1420, vwx1430, dbe, dbf)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_lt13(@0, @0) → new_esEs16(EQ, LT)
new_lt19(vwx3001, vwx31001, app(app(app(ty_@3, bch), bda), bdb)) → new_lt5(vwx3001, vwx31001, bch, bda, bdb)
new_esEs9(vwx3000, vwx31000, app(app(ty_Either, cad), cae)) → new_esEs5(vwx3000, vwx31000, cad, cae)
new_compare3(Integer(vwx3000), Integer(vwx31000)) → new_primCmpInt(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_ltEs11(GT, LT) → False
new_primEqInt(Pos(Zero), Neg(Succ(vwx1200))) → False
new_primEqInt(Neg(Zero), Pos(Succ(vwx1200))) → False
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(ty_@2, dfa), dfb), cbh) → new_esEs4(vwx1420, vwx1430, dfa, dfb)
new_esEs14(vwx3001, vwx31001, app(app(ty_@2, bgd), bge)) → new_esEs4(vwx3001, vwx31001, bgd, bge)
new_esEs10(vwx3000, vwx31000, app(ty_[], ede)) → new_esEs25(vwx3000, vwx31000, ede)
new_esEs30(vwx1422, vwx1432, ty_Char) → new_esEs20(vwx1422, vwx1432)
new_ltEs6(vwx300, vwx3100) → new_not(new_esEs16(new_compare6(vwx300, vwx3100), GT))
new_primCmpInt(Pos(Zero), Pos(Succ(vwx310000))) → new_primCmpNat0(Zero, Succ(vwx310000))
new_primCompAux00(vwx204, EQ) → vwx204
new_pePe(False, vwx142, vwx143, vwx144, cbf) → new_asAs(new_esEs27(vwx142, vwx143, cbf), vwx144)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_@0, cbh) → new_esEs21(vwx1420, vwx1430)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(app(ty_@2, fa), fb)) → new_ltEs7(vwx3000, vwx31000, fa, fb)
new_esEs7(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), cca, ccb, ccc) → new_asAs(new_esEs32(vwx1420, vwx1430, cca), new_asAs(new_esEs31(vwx1421, vwx1431, ccb), new_esEs30(vwx1422, vwx1432, ccc)))
new_ltEs11(LT, EQ) → True
new_esEs11(vwx3000, vwx31000, app(ty_Ratio, dde)) → new_esEs18(vwx3000, vwx31000, dde)
new_esEs14(vwx3001, vwx31001, ty_Double) → new_esEs22(vwx3001, vwx31001)
new_lt9(False, True) → new_esEs16(new_compare25(False, True, False), LT)
new_lt9(True, False) → new_esEs16(new_compare25(True, False, False), LT)
new_esEs32(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_ltEs11(LT, LT) → True
new_compare8(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), ty_Integer) → new_compare3(new_sr0(vwx3000, vwx31001), new_sr0(vwx31000, vwx3001))
new_not(False) → True
new_ltEs4(Right(vwx3000), Left(vwx31000), eh, dh) → False
new_esEs8(vwx3001, vwx31001, ty_Float) → new_esEs24(vwx3001, vwx31001)
new_esEs13(vwx3002, vwx31002, app(ty_[], cff)) → new_esEs25(vwx3002, vwx31002, cff)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Ordering, dh) → new_ltEs11(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, app(ty_Maybe, ddf)) → new_esEs6(vwx3000, vwx31000, ddf)
new_esEs8(vwx3001, vwx31001, app(ty_Maybe, ebh)) → new_esEs6(vwx3001, vwx31001, ebh)
new_primCmpInt(Pos(Succ(vwx30000)), Pos(vwx31000)) → new_primCmpNat0(Succ(vwx30000), vwx31000)
new_primPlusNat0(Zero, vwx310100) → Succ(vwx310100)
new_lt19(vwx3001, vwx31001, ty_Int) → new_lt15(vwx3001, vwx31001)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Integer) → new_ltEs9(vwx3000, vwx31000)
new_esEs33(vwx1421, vwx1431, ty_Ordering) → new_esEs16(vwx1421, vwx1431)
new_compare4(vwx300, vwx3100, app(ty_Maybe, bab)) → new_compare27(vwx300, vwx3100, new_esEs6(vwx300, vwx3100, bab), bab)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_esEs26(vwx1420, vwx1430, app(ty_Ratio, bhe)) → new_esEs18(vwx1420, vwx1430, bhe)
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_lt11(vwx3000, vwx31000, app(ty_Ratio, efa)) → new_lt17(vwx3000, vwx31000, efa)
new_esEs13(vwx3002, vwx31002, app(app(ty_Either, cee), cef)) → new_esEs5(vwx3002, vwx31002, cee, cef)
new_esEs25([], :(vwx1430, vwx1431), bgg) → False
new_esEs25(:(vwx1420, vwx1421), [], bgg) → False
new_esEs34(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_compare0(:(vwx3000, vwx3001), [], he) → GT
new_esEs13(vwx3002, vwx31002, app(app(ty_@2, cfd), cfe)) → new_esEs4(vwx3002, vwx31002, cfd, cfe)
new_lt9(True, True) → new_esEs16(new_compare25(True, True, True), LT)
new_esEs11(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_ltEs11(GT, GT) → True
new_esEs26(vwx1420, vwx1430, app(app(ty_Either, bgh), bha)) → new_esEs5(vwx1420, vwx1430, bgh, bha)
new_lt7(LT, LT) → new_esEs16(new_compare26(LT, LT, True), LT)
new_lt7(GT, LT) → new_esEs16(new_compare26(GT, LT, False), LT)
new_lt7(LT, GT) → new_esEs16(new_compare26(LT, GT, False), LT)
new_primCmpInt(Pos(Succ(vwx30000)), Neg(vwx31000)) → GT
new_esEs8(vwx3001, vwx31001, app(app(app(ty_@3, ebd), ebe), ebf)) → new_esEs7(vwx3001, vwx31001, ebd, ebe, ebf)
new_esEs33(vwx1421, vwx1431, app(app(ty_@2, dhe), dhf)) → new_esEs4(vwx1421, vwx1431, dhe, dhf)
new_lt15(Pos(Zero), Neg(Zero)) → new_esEs16(EQ, LT)
new_lt15(Neg(Zero), Pos(Zero)) → new_esEs16(EQ, LT)
new_esEs33(vwx1421, vwx1431, ty_Int) → new_esEs19(vwx1421, vwx1431)
new_ltEs18(vwx3001, vwx31001, ty_Ordering) → new_ltEs11(vwx3001, vwx31001)
new_ltEs19(vwx3002, vwx31002, app(ty_[], bbe)) → new_ltEs16(vwx3002, vwx31002, bbe)
new_esEs9(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_primMulInt(Pos(vwx3000), Pos(vwx31010)) → Pos(new_primMulNat0(vwx3000, vwx31010))
new_lt19(vwx3001, vwx31001, app(app(ty_@2, bca), bcb)) → new_lt14(vwx3001, vwx31001, bca, bcb)
new_esEs12(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_esEs9(vwx3000, vwx31000, app(ty_Ratio, cba)) → new_esEs18(vwx3000, vwx31000, cba)
new_lt15(Neg(Zero), Neg(Succ(vwx310000))) → new_esEs16(new_primCmpNat0(Succ(vwx310000), Zero), LT)
new_ltEs9(vwx300, vwx3100) → new_not(new_esEs16(new_compare3(vwx300, vwx3100), GT))
new_esEs5(Right(vwx1420), Left(vwx1430), cbg, cbh) → False
new_esEs5(Left(vwx1420), Right(vwx1430), cbg, cbh) → False
new_primMulInt(Neg(vwx3000), Neg(vwx31010)) → Pos(new_primMulNat0(vwx3000, vwx31010))
new_esEs16(EQ, EQ) → True
new_compare1(vwx300, vwx3100, True, hf, hg) → LT
new_esEs26(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_primEqNat0(Succ(vwx1000), Zero) → False
new_primEqNat0(Zero, Succ(vwx1200)) → False
new_lt11(vwx3000, vwx31000, ty_Float) → new_lt10(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, ty_@0) → new_ltEs6(vwx3002, vwx31002)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Float, dh) → new_ltEs14(vwx3000, vwx31000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_ltEs18(vwx3001, vwx31001, app(app(app(ty_@3, bh), ca), cb)) → new_ltEs17(vwx3001, vwx31001, bh, ca, cb)
new_esEs33(vwx1421, vwx1431, app(ty_Maybe, dhd)) → new_esEs6(vwx1421, vwx1431, dhd)
new_lt20(vwx3000, vwx31000, app(app(ty_Either, bde), bdf)) → new_lt8(vwx3000, vwx31000, bde, bdf)
new_esEs12(vwx3000, vwx31000, app(app(ty_Either, cfg), cfh)) → new_esEs5(vwx3000, vwx31000, cfg, cfh)
new_ltEs15(Just(vwx3000), Nothing, efc) → False
new_compare28(vwx300, vwx3100, True, bac, bad, bae) → EQ
new_ltEs19(vwx3002, vwx31002, ty_Ordering) → new_ltEs11(vwx3002, vwx31002)
new_ltEs19(vwx3002, vwx31002, ty_Char) → new_ltEs13(vwx3002, vwx31002)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(app(ty_@3, ha), hb), hc)) → new_ltEs17(vwx3000, vwx31000, ha, hb, hc)
new_esEs11(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Double) → new_ltEs5(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, ty_Bool) → new_ltEs10(vwx3002, vwx31002)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Ordering, cbh) → new_esEs16(vwx1420, vwx1430)
new_pePe(True, vwx142, vwx143, vwx144, cbf) → True
new_ltEs17(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), baf, bag, bcc) → new_pePe(new_lt20(vwx3000, vwx31000, baf), vwx3000, vwx31000, new_pePe(new_lt19(vwx3001, vwx31001, bag), vwx3001, vwx31001, new_ltEs19(vwx3002, vwx31002, bcc), bag), baf)
new_esEs8(vwx3001, vwx31001, ty_Ordering) → new_esEs16(vwx3001, vwx31001)
new_esEs33(vwx1421, vwx1431, app(ty_[], dhg)) → new_esEs25(vwx1421, vwx1431, dhg)
new_lt15(Pos(Zero), Pos(Zero)) → new_esEs16(EQ, LT)
new_esEs8(vwx3001, vwx31001, ty_Int) → new_esEs19(vwx3001, vwx31001)
new_lt7(GT, EQ) → new_esEs16(new_compare26(GT, EQ, False), LT)
new_lt7(EQ, GT) → new_esEs16(new_compare26(EQ, GT, False), LT)
new_primCmpInt(Neg(Zero), Neg(Succ(vwx310000))) → new_primCmpNat0(Succ(vwx310000), Zero)
new_compare23(vwx300, vwx3100, True, hf, hg) → EQ
new_primCmpInt(Pos(Zero), Neg(Succ(vwx310000))) → GT
new_ltEs12(vwx300, vwx3100, dcg) → new_not(new_esEs16(new_compare8(vwx300, vwx3100, dcg), GT))
new_esEs14(vwx3001, vwx31001, ty_Integer) → new_esEs23(vwx3001, vwx31001)
new_esEs12(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_Ratio, cab), dh) → new_ltEs12(vwx3000, vwx31000, cab)
new_esEs15(vwx3000, vwx31000, app(app(app(ty_@3, cdd), cde), cdf)) → new_esEs7(vwx3000, vwx31000, cdd, cde, cdf)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(app(app(ty_@3, dff), dfg), dfh)) → new_esEs7(vwx1420, vwx1430, dff, dfg, dfh)
new_ltEs18(vwx3001, vwx31001, ty_Float) → new_ltEs14(vwx3001, vwx31001)
new_lt19(vwx3001, vwx31001, app(ty_[], bcg)) → new_lt18(vwx3001, vwx31001, bcg)
new_esEs10(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, ty_Integer) → new_ltEs9(vwx3001, vwx31001)
new_esEs14(vwx3001, vwx31001, app(app(ty_Either, bfe), bff)) → new_esEs5(vwx3001, vwx31001, bfe, bff)
new_esEs14(vwx3001, vwx31001, app(ty_[], bgf)) → new_esEs25(vwx3001, vwx31001, bgf)
new_lt6(Just(vwx3000), Just(vwx31000), beh) → new_esEs16(new_compare27(Just(vwx3000), Just(vwx31000), new_esEs12(vwx3000, vwx31000, beh), beh), LT)
new_esEs29(vwx100, vwx120, ty_Int) → new_esEs19(vwx100, vwx120)
new_esEs31(vwx1421, vwx1431, ty_Float) → new_esEs24(vwx1421, vwx1431)
new_esEs13(vwx3002, vwx31002, app(ty_Ratio, cfb)) → new_esEs18(vwx3002, vwx31002, cfb)
new_lt18(:(vwx3000, vwx3001), [], bfa) → new_esEs16(GT, LT)
new_esEs9(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_lt11(vwx3000, vwx31000, ty_@0) → new_lt13(vwx3000, vwx31000)
new_esEs29(vwx100, vwx120, ty_Integer) → new_esEs23(vwx100, vwx120)
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(ty_Either, edf), edg)) → new_esEs5(vwx1420, vwx1430, edf, edg)
new_compare4(vwx300, vwx3100, app(ty_Ratio, cda)) → new_compare8(vwx300, vwx3100, cda)
new_ltEs11(EQ, EQ) → True
new_compare26(vwx300, vwx3100, False) → new_compare10(vwx300, vwx3100, new_ltEs11(vwx300, vwx3100))
new_esEs10(vwx3000, vwx31000, app(app(ty_@2, edc), edd)) → new_esEs4(vwx3000, vwx31000, edc, edd)
new_esEs9(vwx3000, vwx31000, app(app(ty_@2, cbc), cbd)) → new_esEs4(vwx3000, vwx31000, cbc, cbd)
new_esEs19(vwx10, vwx12) → new_primEqInt(vwx10, vwx12)
new_ltEs13(vwx300, vwx3100) → new_not(new_esEs16(new_compare9(vwx300, vwx3100), GT))
new_esEs14(vwx3001, vwx31001, ty_Int) → new_esEs19(vwx3001, vwx31001)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Bool) → new_ltEs10(vwx3000, vwx31000)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Double) → new_esEs22(vwx1420, vwx1430)
new_lt19(vwx3001, vwx31001, ty_Ordering) → new_lt7(vwx3001, vwx31001)
new_esEs26(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt7(EQ, EQ) → new_esEs16(new_compare26(EQ, EQ, True), LT)
new_esEs10(vwx3000, vwx31000, app(app(ty_Either, ecd), ece)) → new_esEs5(vwx3000, vwx31000, ecd, ece)
new_lt20(vwx3000, vwx31000, ty_@0) → new_lt13(vwx3000, vwx31000)
new_esEs30(vwx1422, vwx1432, ty_Ordering) → new_esEs16(vwx1422, vwx1432)
new_esEs13(vwx3002, vwx31002, ty_Float) → new_esEs24(vwx3002, vwx31002)
new_esEs16(LT, LT) → True
new_ltEs10(True, False) → False
new_esEs13(vwx3002, vwx31002, ty_@0) → new_esEs21(vwx3002, vwx31002)
new_asAs(False, vwx152) → False
new_ltEs19(vwx3002, vwx31002, app(app(ty_@2, bah), bba)) → new_ltEs7(vwx3002, vwx31002, bah, bba)
new_lt11(vwx3000, vwx31000, ty_Double) → new_lt12(vwx3000, vwx31000)
new_primMulInt(Neg(vwx3000), Pos(vwx31010)) → Neg(new_primMulNat0(vwx3000, vwx31010))
new_primMulInt(Pos(vwx3000), Neg(vwx31010)) → Neg(new_primMulNat0(vwx3000, vwx31010))
new_esEs25(:(vwx1420, vwx1421), :(vwx1430, vwx1431), bgg) → new_asAs(new_esEs26(vwx1420, vwx1430, bgg), new_esEs25(vwx1421, vwx1431, bgg))
new_esEs4(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), ccf, ccg) → new_asAs(new_esEs34(vwx1420, vwx1430, ccf), new_esEs33(vwx1421, vwx1431, ccg))
new_lt11(vwx3000, vwx31000, app(ty_Maybe, da)) → new_lt6(vwx3000, vwx31000, da)
new_esEs14(vwx3001, vwx31001, app(app(app(ty_@3, bfg), bfh), bga)) → new_esEs7(vwx3001, vwx31001, bfg, bfh, bga)
new_primMulNat0(Succ(vwx30000), Zero) → Zero
new_primMulNat0(Zero, Succ(vwx310100)) → Zero
new_ltEs19(vwx3002, vwx31002, ty_Float) → new_ltEs14(vwx3002, vwx31002)
new_ltEs7(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), ba, ce) → new_pePe(new_lt11(vwx3000, vwx31000, ba), vwx3000, vwx31000, new_ltEs18(vwx3001, vwx31001, ce), ba)
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_Maybe, eed)) → new_esEs6(vwx1420, vwx1430, eed)
new_esEs32(vwx1420, vwx1430, app(app(app(ty_@3, dbg), dbh), dca)) → new_esEs7(vwx1420, vwx1430, dbg, dbh, dca)
new_esEs11(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_esEs16(GT, GT) → True
new_ltEs11(EQ, LT) → False
new_esEs22(Double(vwx100, vwx101), Double(vwx120, vwx121)) → new_esEs19(new_sr(vwx100, vwx120), new_sr(vwx101, vwx121))
new_lt11(vwx3000, vwx31000, app(ty_[], db)) → new_lt18(vwx3000, vwx31000, db)
new_ltEs18(vwx3001, vwx31001, app(app(ty_@2, bb), bc)) → new_ltEs7(vwx3001, vwx31001, bb, bc)
new_esEs34(vwx1420, vwx1430, app(app(ty_@2, eag), eah)) → new_esEs4(vwx1420, vwx1430, eag, eah)
new_esEs10(vwx3000, vwx31000, app(ty_Maybe, edb)) → new_esEs6(vwx3000, vwx31000, edb)
new_esEs10(vwx3000, vwx31000, app(ty_Ratio, eda)) → new_esEs18(vwx3000, vwx31000, eda)
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(ty_@2, eee), eef)) → new_esEs4(vwx1420, vwx1430, eee, eef)
new_esEs14(vwx3001, vwx31001, ty_@0) → new_esEs21(vwx3001, vwx31001)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_Ratio, efd)) → new_ltEs12(vwx3000, vwx31000, efd)
new_esEs31(vwx1421, vwx1431, ty_Integer) → new_esEs23(vwx1421, vwx1431)
new_lt11(vwx3000, vwx31000, ty_Char) → new_lt4(vwx3000, vwx31000)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_esEs31(vwx1421, vwx1431, ty_Int) → new_esEs19(vwx1421, vwx1431)
new_esEs8(vwx3001, vwx31001, ty_@0) → new_esEs21(vwx3001, vwx31001)
new_compare14(vwx300, vwx3100, True, bab) → LT
new_lt19(vwx3001, vwx31001, ty_Integer) → new_lt16(vwx3001, vwx31001)
new_esEs34(vwx1420, vwx1430, app(ty_Ratio, eae)) → new_esEs18(vwx1420, vwx1430, eae)
new_esEs30(vwx1422, vwx1432, app(ty_[], dab)) → new_esEs25(vwx1422, vwx1432, dab)
new_esEs15(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, app(ty_Ratio, ebg)) → new_esEs18(vwx3001, vwx31001, ebg)
new_esEs33(vwx1421, vwx1431, ty_@0) → new_esEs21(vwx1421, vwx1431)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_@0, dh) → new_ltEs6(vwx3000, vwx31000)
new_esEs10(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Double, dh) → new_ltEs5(vwx3000, vwx31000)
new_esEs30(vwx1422, vwx1432, app(app(ty_Either, cha), chb)) → new_esEs5(vwx1422, vwx1432, cha, chb)
new_ltEs15(Nothing, Nothing, efc) → True
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Char, cbh) → new_esEs20(vwx1420, vwx1430)
new_lt11(vwx3000, vwx31000, ty_Integer) → new_lt16(vwx3000, vwx31000)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, app(ty_Maybe, dgb)) → new_esEs6(vwx1420, vwx1430, dgb)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Integer, cbh) → new_esEs23(vwx1420, vwx1430)
new_esEs11(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_esEs10(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Bool, cbh) → new_esEs17(vwx1420, vwx1430)
new_esEs27(vwx142, vwx143, app(app(ty_@2, ccf), ccg)) → new_esEs4(vwx142, vwx143, ccf, ccg)
new_esEs14(vwx3001, vwx31001, ty_Ordering) → new_esEs16(vwx3001, vwx31001)
new_esEs34(vwx1420, vwx1430, app(ty_Maybe, eaf)) → new_esEs6(vwx1420, vwx1430, eaf)
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Char) → new_ltEs13(vwx3000, vwx31000)
new_esEs26(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_compare4(vwx300, vwx3100, ty_Integer) → new_compare3(vwx300, vwx3100)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_esEs11(vwx3000, vwx31000, app(app(ty_Either, dch), dda)) → new_esEs5(vwx3000, vwx31000, dch, dda)
new_compare4(vwx300, vwx3100, ty_Bool) → new_compare25(vwx300, vwx3100, new_esEs17(vwx300, vwx3100))
new_esEs15(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs15(vwx3000, vwx31000, app(ty_[], cec)) → new_esEs25(vwx3000, vwx31000, cec)
new_esEs26(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(ty_Either, deb), dec), cbh) → new_esEs5(vwx1420, vwx1430, deb, dec)
new_ltEs18(vwx3001, vwx31001, app(ty_Maybe, bf)) → new_ltEs15(vwx3001, vwx31001, bf)
new_esEs32(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_ltEs19(vwx3002, vwx31002, app(app(app(ty_@3, bbf), bbg), bbh)) → new_ltEs17(vwx3002, vwx31002, bbf, bbg, bbh)
new_esEs33(vwx1421, vwx1431, app(app(ty_Either, dgf), dgg)) → new_esEs5(vwx1421, vwx1431, dgf, dgg)
new_esEs32(vwx1420, vwx1430, app(ty_Ratio, dcb)) → new_esEs18(vwx1420, vwx1430, dcb)
new_lt19(vwx3001, vwx31001, ty_Double) → new_lt12(vwx3001, vwx31001)
new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, ty_Int) → new_compare7(new_sr(vwx3000, vwx31001), new_sr(vwx31000, vwx3001))
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(ty_Ratio, cac)) → new_ltEs12(vwx3000, vwx31000, cac)
new_esEs31(vwx1421, vwx1431, ty_Char) → new_esEs20(vwx1421, vwx1431)
new_esEs11(vwx3000, vwx31000, app(ty_[], dea)) → new_esEs25(vwx3000, vwx31000, dea)
new_lt15(Neg(Zero), Pos(Succ(vwx310000))) → new_esEs16(LT, LT)
new_compare4(vwx300, vwx3100, ty_Double) → new_compare5(vwx300, vwx3100)
new_compare27(vwx300, vwx3100, True, bab) → EQ
new_esEs31(vwx1421, vwx1431, ty_Ordering) → new_esEs16(vwx1421, vwx1431)
new_esEs15(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_lt20(vwx3000, vwx31000, app(app(app(ty_@3, bea), beb), bec)) → new_lt5(vwx3000, vwx31000, bea, beb, bec)
new_esEs8(vwx3001, vwx31001, ty_Integer) → new_esEs23(vwx3001, vwx31001)
new_ltEs18(vwx3001, vwx31001, app(ty_[], bg)) → new_ltEs16(vwx3001, vwx31001, bg)
new_primPlusNat1(Zero, Zero) → Zero
new_compare0([], :(vwx31000, vwx31001), he) → LT
new_ltEs10(True, True) → True
new_esEs12(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Double, cbh) → new_esEs22(vwx1420, vwx1430)
new_asAs(True, vwx152) → vwx152
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Double) → new_ltEs5(vwx3000, vwx31000)
new_esEs13(vwx3002, vwx31002, ty_Char) → new_esEs20(vwx3002, vwx31002)
new_primMulNat0(Succ(vwx30000), Succ(vwx310100)) → new_primPlusNat0(new_primMulNat0(vwx30000, Succ(vwx310100)), vwx310100)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_esEs9(vwx3000, vwx31000, app(ty_[], cbe)) → new_esEs25(vwx3000, vwx31000, cbe)
new_lt18([], :(vwx31000, vwx31001), bfa) → new_esEs16(LT, LT)
new_esEs9(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, app(ty_[], eba)) → new_esEs25(vwx1420, vwx1430, eba)
new_lt11(vwx3000, vwx31000, app(app(ty_Either, cf), cg)) → new_lt8(vwx3000, vwx31000, cf, cg)
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_[], dfc), cbh) → new_esEs25(vwx1420, vwx1430, dfc)
new_esEs23(Integer(vwx100), Integer(vwx120)) → new_primEqInt(vwx100, vwx120)
new_lt10(Float(vwx3000, vwx3001), Float(vwx31000, vwx31001)) → new_esEs16(new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001)), LT)
new_compare25(vwx300, vwx3100, False) → new_compare16(vwx300, vwx3100, new_ltEs10(vwx300, vwx3100))
new_esEs27(vwx142, vwx143, ty_Integer) → new_esEs23(vwx142, vwx143)
new_lt19(vwx3001, vwx31001, ty_Float) → new_lt10(vwx3001, vwx31001)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Float, cbh) → new_esEs24(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, ty_Double) → new_ltEs5(vwx3001, vwx31001)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Int) → new_esEs19(vwx1420, vwx1430)
new_esEs33(vwx1421, vwx1431, ty_Integer) → new_esEs23(vwx1421, vwx1431)
new_compare10(vwx300, vwx3100, True) → LT
new_lt11(vwx3000, vwx31000, app(app(app(ty_@3, dc), dd), de)) → new_lt5(vwx3000, vwx31000, dc, dd, de)
new_esEs32(vwx1420, vwx1430, app(ty_[], dcf)) → new_esEs25(vwx1420, vwx1430, dcf)
new_esEs12(vwx3000, vwx31000, app(ty_Maybe, cge)) → new_esEs6(vwx3000, vwx31000, cge)
new_lt17(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), efb) → new_esEs16(new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, efb), LT)
new_lt15(Neg(Succ(vwx30000)), Pos(vwx31000)) → new_esEs16(LT, LT)
new_esEs5(Right(vwx1420), Right(vwx1430), cbg, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_compare13(vwx300, vwx3100, True, bac, bad, bae) → LT
new_compare11(Float(vwx3000, vwx3001), Float(vwx31000, vwx31001)) → new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001))
new_ltEs5(vwx300, vwx3100) → new_not(new_esEs16(new_compare5(vwx300, vwx3100), GT))
new_compare10(vwx300, vwx3100, False) → GT
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, ty_Float) → new_ltEs14(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(ty_@2, df), dg), dh) → new_ltEs7(vwx3000, vwx31000, df, dg)
new_primCompAux00(vwx204, GT) → GT
new_esEs13(vwx3002, vwx31002, app(app(app(ty_@3, ceg), ceh), cfa)) → new_esEs7(vwx3002, vwx31002, ceg, ceh, cfa)
new_esEs31(vwx1421, vwx1431, app(ty_Maybe, dba)) → new_esEs6(vwx1421, vwx1431, dba)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs4(Right(vwx3000), Right(vwx31000), eh, app(ty_Maybe, ff)) → new_ltEs15(vwx3000, vwx31000, ff)
new_ltEs11(EQ, GT) → True
new_esEs12(vwx3000, vwx31000, app(app(ty_@2, cgf), cgg)) → new_esEs4(vwx3000, vwx31000, cgf, cgg)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_[], gh)) → new_ltEs16(vwx3000, vwx31000, gh)
new_esEs31(vwx1421, vwx1431, ty_@0) → new_esEs21(vwx1421, vwx1431)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs10(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs30(vwx1422, vwx1432, app(app(ty_@2, chh), daa)) → new_esEs4(vwx1422, vwx1432, chh, daa)
new_esEs14(vwx3001, vwx31001, ty_Float) → new_esEs24(vwx3001, vwx31001)
new_primCmpInt(Neg(Succ(vwx30000)), Pos(vwx31000)) → LT
new_compare8(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), ty_Int) → new_compare7(new_sr(vwx3000, vwx31001), new_sr(vwx31000, vwx3001))
new_not(True) → False
new_compare16(vwx300, vwx3100, False) → GT
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_Ratio, eec)) → new_esEs18(vwx1420, vwx1430, eec)

The set Q consists of the following terms:

new_esEs8(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_ltEs19(x0, x1, ty_Double)
new_ltEs4(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs12(x0, x1, ty_Bool)
new_ltEs4(Left(x0), Left(x1), ty_Char, x2)
new_lt11(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, ty_@0)
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_compare4(x0, x1, ty_Int)
new_primMulNat0(Zero, Succ(x0))
new_esEs33(x0, x1, ty_Double)
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_esEs15(x0, x1, ty_Ordering)
new_compare7(x0, x1)
new_ltEs19(x0, x1, ty_Int)
new_esEs26(x0, x1, ty_Double)
new_ltEs4(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, app(ty_Maybe, x2))
new_ltEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs5(x0, x1)
new_lt19(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Ordering)
new_esEs15(x0, x1, app(ty_Maybe, x2))
new_primCmpNat0(Succ(x0), Zero)
new_esEs27(x0, x1, ty_Integer)
new_esEs15(x0, x1, ty_Int)
new_ltEs4(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Char)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs11(EQ, EQ)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_esEs14(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_compare28(x0, x1, False, x2, x3, x4)
new_compare9(Char(x0), Char(x1))
new_esEs32(x0, x1, ty_Char)
new_ltEs6(x0, x1)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_lt19(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(Just(x0), Nothing, x1)
new_lt7(LT, EQ)
new_lt7(EQ, LT)
new_esEs27(x0, x1, app(ty_[], x2))
new_primCompAux00(x0, LT)
new_compare8(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_ltEs15(Just(x0), Just(x1), ty_Double)
new_compare5(Double(x0, x1), Double(x2, x3))
new_esEs12(x0, x1, ty_@0)
new_esEs13(x0, x1, ty_Bool)
new_lt11(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs31(x0, x1, ty_Float)
new_ltEs15(Nothing, Just(x0), x1)
new_ltEs16(x0, x1, x2)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_esEs11(x0, x1, ty_Integer)
new_ltEs4(Left(x0), Left(x1), ty_@0, x2)
new_compare4(x0, x1, ty_Integer)
new_ltEs9(x0, x1)
new_ltEs4(Left(x0), Left(x1), ty_Integer, x2)
new_esEs34(x0, x1, ty_Int)
new_compare23(x0, x1, False, x2, x3)
new_lt15(Neg(Zero), Neg(Succ(x0)))
new_ltEs18(x0, x1, ty_Char)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs14(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Float)
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs30(x0, x1, ty_Bool)
new_ltEs4(Left(x0), Left(x1), ty_Int, x2)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_compare4(x0, x1, ty_Bool)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_ltEs15(Just(x0), Nothing, x1)
new_compare0([], [], x0)
new_lt8(Right(x0), Left(x1), x2, x3)
new_lt8(Left(x0), Right(x1), x2, x3)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, ty_@0)
new_compare16(x0, x1, False)
new_esEs15(x0, x1, ty_Float)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare1(x0, x1, False, x2, x3)
new_esEs11(x0, x1, ty_Double)
new_esEs14(x0, x1, ty_Double)
new_lt11(x0, x1, ty_@0)
new_ltEs4(Left(x0), Right(x1), x2, x3)
new_lt8(Left(x0), Left(x1), x2, x3)
new_ltEs4(Right(x0), Left(x1), x2, x3)
new_esEs17(False, False)
new_esEs10(x0, x1, ty_Double)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs14(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Just(x0), Just(x1), ty_Double)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(Just(x0), Just(x1), ty_Int)
new_lt19(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_compare4(x0, x1, ty_Double)
new_esEs14(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat0(Zero, x0)
new_esEs28(x0, x1, ty_Int)
new_lt14(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt7(LT, LT)
new_esEs14(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_ltEs11(LT, GT)
new_ltEs11(GT, LT)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_esEs26(x0, x1, ty_Float)
new_lt12(Double(x0, x1), Double(x2, x3))
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Char)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare10(x0, x1, True)
new_compare13(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False, x2, x3)
new_ltEs4(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt20(x0, x1, ty_Double)
new_ltEs18(x0, x1, ty_Float)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs33(x0, x1, ty_Char)
new_compare0([], :(x0, x1), x2)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_primEqNat0(Zero, Zero)
new_pePe(False, x0, x1, x2, x3)
new_esEs32(x0, x1, ty_Float)
new_lt19(x0, x1, ty_@0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))
new_lt10(Float(x0, x1), Float(x2, x3))
new_esEs31(x0, x1, ty_Bool)
new_lt8(Right(x0), Right(x1), x2, x3)
new_esEs34(x0, x1, ty_Double)
new_ltEs4(Right(x0), Right(x1), x2, ty_Bool)
new_compare27(x0, x1, False, x2)
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs7(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_lt13(@0, @0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs25([], [], x0)
new_primMulNat0(Zero, Zero)
new_lt11(x0, x1, ty_Integer)
new_ltEs4(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs15(Just(x0), Just(x1), ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs32(x0, x1, ty_Int)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_esEs25(:(x0, x1), [], x2)
new_esEs25([], :(x0, x1), x2)
new_esEs31(x0, x1, ty_Char)
new_esEs34(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_ltEs4(Right(x0), Right(x1), x2, ty_Float)
new_esEs30(x0, x1, ty_Char)
new_esEs19(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_compare4(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs15(x0, x1, app(ty_Ratio, x2))
new_compare0(:(x0, x1), [], x2)
new_ltEs19(x0, x1, ty_Float)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_lt6(Nothing, Nothing, x0)
new_ltEs15(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare4(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(Right(x0), Right(x1), x2, ty_Int)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs6(Nothing, Just(x0), x1)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_esEs16(GT, GT)
new_lt16(Integer(x0), Integer(x1))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs6(Just(x0), Nothing, x1)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, ty_Double)
new_pePe(True, x0, x1, x2, x3)
new_ltEs15(Just(x0), Just(x1), ty_Float)
new_lt11(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Integer)
new_esEs13(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Double)
new_compare14(x0, x1, True, x2)
new_compare15(x0, x1, x2, x3, ty_Int)
new_lt18([], [], x0)
new_esEs8(x0, x1, ty_Ordering)
new_compare12(x0, x1, False, x2, x3)
new_esEs15(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs30(x0, x1, ty_Double)
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Char)
new_compare26(x0, x1, False)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_compare11(Float(x0, x1), Float(x2, x3))
new_esEs9(x0, x1, ty_Ordering)
new_sr(x0, x1)
new_esEs8(x0, x1, ty_Double)
new_ltEs4(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare4(x0, x1, ty_Char)
new_lt9(True, True)
new_esEs30(x0, x1, ty_Float)
new_esEs12(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_[], x2))
new_compare25(x0, x1, True)
new_compare3(Integer(x0), Integer(x1))
new_lt7(GT, GT)
new_ltEs4(Left(x0), Left(x1), ty_Double, x2)
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_compare4(x0, x1, ty_Ordering)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_primPlusNat1(Zero, Zero)
new_lt19(x0, x1, ty_Double)
new_esEs13(x0, x1, ty_Int)
new_lt7(LT, GT)
new_lt7(GT, LT)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt20(x0, x1, ty_Int)
new_ltEs8(x0, x1)
new_ltEs10(False, False)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs14(x0, x1, ty_Ordering)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_compare25(x0, x1, False)
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs34(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), ty_Int)
new_lt11(x0, x1, ty_Char)
new_ltEs15(Just(x0), Just(x1), app(ty_[], x2))
new_esEs8(x0, x1, ty_Int)
new_esEs10(x0, x1, ty_Integer)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt6(Just(x0), Just(x1), x2)
new_compare8(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs32(x0, x1, ty_Bool)
new_esEs34(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Ordering)
new_lt18([], :(x0, x1), x2)
new_esEs30(x0, x1, app(ty_[], x2))
new_lt11(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Float)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt15(Pos(Succ(x0)), Pos(x1))
new_lt18(:(x0, x1), [], x2)
new_primCmpNat0(Zero, Succ(x0))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt15(Neg(Zero), Pos(Succ(x0)))
new_lt15(Pos(Zero), Neg(Succ(x0)))
new_primCompAux00(x0, EQ)
new_compare15(x0, x1, x2, x3, ty_Integer)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs18(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_Float)
new_compare26(x0, x1, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs23(Integer(x0), Integer(x1))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_lt17(:%(x0, x1), :%(x2, x3), x4)
new_esEs27(x0, x1, ty_Int)
new_ltEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt7(EQ, EQ)
new_lt20(x0, x1, ty_Ordering)
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_lt15(Pos(Zero), Pos(Zero))
new_esEs12(x0, x1, ty_Int)
new_lt19(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_compare4(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_Int)
new_ltEs15(Just(x0), Just(x1), ty_Char)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_esEs10(x0, x1, ty_Float)
new_esEs31(x0, x1, ty_@0)
new_lt15(Pos(Zero), Pos(Succ(x0)))
new_ltEs4(Right(x0), Right(x1), x2, ty_@0)
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Integer)
new_lt9(False, False)
new_esEs24(Float(x0, x1), Float(x2, x3))
new_esEs34(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Ordering)
new_ltEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs9(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_@0)
new_primMulInt(Pos(x0), Pos(x1))
new_lt19(x0, x1, ty_Char)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, ty_@0)
new_lt11(x0, x1, ty_Double)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_esEs16(LT, LT)
new_ltEs19(x0, x1, ty_Bool)
new_esEs15(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(Nothing, Just(x0), x1)
new_lt15(Neg(Zero), Neg(Zero))
new_ltEs4(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Integer)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs33(x0, x1, ty_@0)
new_esEs34(x0, x1, ty_Ordering)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1, ty_Double)
new_esEs11(x0, x1, ty_@0)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs33(x0, x1, ty_Ordering)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs18(x0, x1, ty_Bool)
new_esEs33(x0, x1, ty_Bool)
new_esEs14(x0, x1, app(app(ty_@2, x2), x3))
new_compare1(x0, x1, True, x2, x3)
new_lt15(Neg(Succ(x0)), Pos(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_lt15(Pos(Succ(x0)), Neg(x1))
new_ltEs4(Left(x0), Left(x1), ty_Float, x2)
new_ltEs18(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_@0)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_@0)
new_compare6(@0, @0)
new_ltEs11(LT, LT)
new_ltEs4(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs10(x0, x1, ty_Char)
new_esEs15(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs6(Nothing, Nothing, x0)
new_lt20(x0, x1, ty_@0)
new_ltEs11(EQ, LT)
new_ltEs11(LT, EQ)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_lt11(x0, x1, ty_Ordering)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt11(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs12(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_Ordering)
new_primEqNat0(Succ(x0), Zero)
new_primCmpNat0(Zero, Zero)
new_sr0(Integer(x0), Integer(x1))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt20(x0, x1, ty_Bool)
new_lt11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(False, x0)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs32(x0, x1, ty_Ordering)
new_compare16(x0, x1, True)
new_ltEs10(True, True)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Double)
new_esEs13(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, ty_Float)
new_esEs14(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, True, x2, x3)
new_lt11(x0, x1, ty_Float)
new_ltEs15(Just(x0), Just(x1), ty_@0)
new_esEs31(x0, x1, ty_Double)
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Double)
new_ltEs4(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare4(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_primCompAux0(x0, x1, x2, x3)
new_primMulNat0(Succ(x0), Zero)
new_esEs15(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs30(x0, x1, ty_Integer)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs8(x0, x1, ty_Char)
new_esEs15(x0, x1, ty_Char)
new_ltEs15(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs25(:(x0, x1), :(x2, x3), x4)
new_esEs26(x0, x1, ty_Int)
new_esEs14(x0, x1, ty_Char)
new_ltEs4(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs15(Nothing, Nothing, x0)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Ordering)
new_esEs13(x0, x1, ty_Char)
new_not(True)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_asAs(True, x0)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs15(x0, x1, ty_@0)
new_lt7(GT, EQ)
new_lt7(EQ, GT)
new_esEs16(EQ, EQ)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_primPlusNat0(Succ(x0), x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs34(x0, x1, ty_@0)
new_ltEs18(x0, x1, ty_Int)
new_not(False)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs8(x0, x1, ty_Bool)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs4(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs33(x0, x1, ty_Integer)
new_compare27(x0, x1, True, x2)
new_lt19(x0, x1, ty_Int)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs13(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs14(x0, x1, ty_Float)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_ltEs14(x0, x1)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(Char(x0), Char(x1))
new_compare4(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs11(x0, x1, ty_Float)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_@0)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(@0, @0)
new_lt5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt20(x0, x1, ty_Integer)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(Neg(Succ(x0)), Neg(x1))
new_ltEs4(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs4(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs10(True, False)
new_ltEs10(False, True)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs12(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs17(True, False)
new_esEs17(False, True)
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt9(True, False)
new_lt9(False, True)
new_ltEs15(Just(x0), Just(x1), ty_Ordering)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_ltEs15(Just(x0), Just(x1), ty_Integer)
new_compare10(x0, x1, False)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs13(x0, x1, ty_Ordering)
new_compare13(x0, x1, False, x2, x3, x4)
new_primEqInt(Pos(Zero), Pos(Zero))
new_primCompAux00(x0, GT)
new_esEs17(True, True)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt18(:(x0, x1), :(x2, x3), x4)
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Int)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs15(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(ty_[], x2))
new_compare12(x0, x1, True, x2, x3)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs4(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare4(x0, x1, app(ty_Maybe, x2))
new_esEs14(x0, x1, ty_Int)
new_lt15(Neg(Zero), Pos(Zero))
new_lt15(Pos(Zero), Neg(Zero))
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs33(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs13(x0, x1)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_esEs34(x0, x1, app(ty_[], x2))
new_compare4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(x0, x1, x2)
new_esEs18(:%(x0, x1), :%(x2, x3), x4)
new_compare14(x0, x1, False, x2)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt4(Char(x0), Char(x1))
new_ltEs4(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs4(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Bool)
new_ltEs18(x0, x1, ty_Double)
new_primMulNat0(Succ(x0), Succ(x1))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs15(x0, x1, ty_Double)
new_ltEs11(GT, GT)
new_esEs14(x0, x1, app(ty_Maybe, x2))

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

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



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

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

new_foldl(vwx30, :(vwx310, vwx311), ba) → new_foldl(new_max(vwx30, vwx310, ba), vwx311, ba)

The TRS R consists of the following rules:

new_lt8(Left(vwx3000), Left(vwx31000), beb, bec) → new_esEs16(new_compare24(Left(vwx3000), Left(vwx31000), new_esEs10(vwx3000, vwx31000, beb), beb, bec), LT)
new_lt22(vwx301, vwx3101, app(ty_Maybe, ccb)) → new_lt6(vwx301, vwx3101, ccb)
new_lt21(vwx300, vwx3100, ty_Bool) → new_lt9(vwx300, vwx3100)
new_esEs32(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Integer, bfd) → new_ltEs9(vwx3000, vwx31000)
new_max117(vwx3000, False) → Pos(Succ(vwx3000))
new_ltEs24(vwx302, vwx3102, app(app(ty_@2, cac), cad)) → new_ltEs7(vwx302, vwx3102, cac, cad)
new_max(LT, LT, ty_Ordering) → LT
new_esEs27(vwx142, vwx143, app(ty_Ratio, dah)) → new_esEs18(vwx142, vwx143, dah)
new_lt6(Just(vwx3000), Nothing, bd) → new_esEs16(new_compare27(Just(vwx3000), Nothing, False, bd), LT)
new_lt6(Nothing, Just(vwx31000), bd) → new_esEs16(new_compare27(Nothing, Just(vwx31000), False, bd), LT)
new_primCompAux0(vwx300, vwx3100, vwx186, bcb) → new_primCompAux00(vwx186, new_compare4(vwx300, vwx3100, bcb))
new_ltEs24(vwx302, vwx3102, app(ty_Ratio, cag)) → new_ltEs12(vwx302, vwx3102, cag)
new_esEs26(vwx1420, vwx1430, app(ty_[], daa)) → new_esEs25(vwx1420, vwx1430, daa)
new_ltEs18(vwx3001, vwx31001, app(ty_Ratio, fbh)) → new_ltEs12(vwx3001, vwx31001, fbh)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, ty_Int) → new_ltEs8(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, app(ty_Ratio, gb)) → new_ltEs12(vwx3002, vwx31002, gb)
new_esEs13(vwx3002, vwx31002, app(ty_Maybe, dch)) → new_esEs6(vwx3002, vwx31002, dch)
new_ltEs21(vwx300, vwx3100, ty_@0) → new_ltEs6(vwx300, vwx3100)
new_compare4(vwx300, vwx3100, ty_Int) → new_compare7(vwx300, vwx3100)
new_compare4(vwx300, vwx3100, ty_@0) → new_compare6(vwx300, vwx3100)
new_esEs20(Char(vwx100), Char(vwx120)) → new_primEqNat0(vwx100, vwx120)
new_max(Nothing, Just(vwx3100), app(ty_Maybe, bca)) → Just(vwx3100)
new_max(Just(vwx300), Nothing, app(ty_Maybe, bca)) → Just(vwx300)
new_compare13(vwx300, vwx3100, False, dbd, dbe, dbf) → GT
new_esEs31(vwx1421, vwx1431, app(ty_[], eac)) → new_esEs25(vwx1421, vwx1431, eac)
new_ltEs21(vwx300, vwx3100, app(app(app(ty_@3, fb), fc), fd)) → new_ltEs17(vwx300, vwx3100, fb, fc, fd)
new_max137(vwx300, vwx301, vwx3100, vwx3101, True) → Float(vwx3100, vwx3101)
new_ltEs19(vwx3002, vwx31002, app(ty_Maybe, gc)) → new_ltEs15(vwx3002, vwx31002, gc)
new_lt18(:(vwx3000, vwx3001), :(vwx31000, vwx31001), bee) → new_esEs16(new_primCompAux0(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, bee), bee), LT)
new_esEs12(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs24(Float(vwx100, vwx101), Float(vwx120, vwx121)) → new_esEs19(new_sr(vwx100, vwx120), new_sr(vwx101, vwx121))
new_esEs34(vwx1420, vwx1430, app(app(ty_Either, efd), efe)) → new_esEs5(vwx1420, vwx1430, efd, efe)
new_ltEs19(vwx3002, vwx31002, ty_Integer) → new_ltEs9(vwx3002, vwx31002)
new_max(Neg(Succ(vwx3000)), Neg(Zero), ty_Int) → new_max122(vwx3000, new_not(new_esEs16(LT, GT)))
new_esEs13(vwx3002, vwx31002, ty_Double) → new_esEs22(vwx3002, vwx31002)
new_lt9(False, False) → new_esEs16(new_compare25(False, False, True), LT)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_compare17(vwx300, vwx3101, vwx3100, vwx301, ty_Int) → new_compare7(new_sr(vwx300, vwx3101), new_sr(vwx3100, vwx301))
new_lt15(Neg(Zero), Neg(Zero)) → new_esEs16(EQ, LT)
new_max112(vwx31000, False) → Neg(Zero)
new_esEs17(True, True) → True
new_esEs32(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_esEs32(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_lt22(vwx301, vwx3101, app(app(app(ty_@3, ccd), cce), ccf)) → new_lt5(vwx301, vwx3101, ccd, cce, ccf)
new_ltEs23(vwx300, vwx3100, ty_Double) → new_ltEs5(vwx300, vwx3100)
new_esEs28(vwx101, vwx121, ty_Integer) → new_esEs23(vwx101, vwx121)
new_compare0(:(vwx3000, vwx3001), :(vwx31000, vwx31001), df) → new_primCompAux0(vwx3000, vwx31000, new_compare0(vwx3001, vwx31001, df), df)
new_lt22(vwx301, vwx3101, app(ty_Ratio, cca)) → new_lt17(vwx301, vwx3101, cca)
new_esEs32(vwx1420, vwx1430, app(app(ty_@2, ebc), ebd)) → new_esEs4(vwx1420, vwx1430, ebc, ebd)
new_esEs15(vwx3000, vwx31000, app(app(ty_@2, dfe), dff)) → new_esEs4(vwx3000, vwx31000, dfe, dff)
new_lt8(Right(vwx3000), Left(vwx31000), beb, bec) → new_esEs16(new_compare24(Right(vwx3000), Left(vwx31000), False, beb, bec), LT)
new_lt8(Left(vwx3000), Right(vwx31000), beb, bec) → new_esEs16(new_compare24(Left(vwx3000), Right(vwx31000), False, beb, bec), LT)
new_lt20(vwx3000, vwx31000, ty_Integer) → new_lt16(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, ty_Double) → new_esEs22(vwx3001, vwx31001)
new_esEs34(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Bool, bfd) → new_ltEs10(vwx3000, vwx31000)
new_max124(True) → Pos(Zero)
new_esEs11(vwx3000, vwx31000, app(app(app(ty_@3, fab), fac), fad)) → new_esEs7(vwx3000, vwx31000, fab, fac, fad)
new_ltEs10(False, False) → True
new_max(Pos(Zero), Neg(Zero), ty_Int) → new_max120(new_not(new_esEs16(EQ, GT)))
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, ty_@0) → new_ltEs6(vwx3000, vwx31000)
new_lt23(vwx300, vwx3100, ty_Bool) → new_lt9(vwx300, vwx3100)
new_esEs33(vwx1421, vwx1431, ty_Bool) → new_esEs17(vwx1421, vwx1431)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(app(ty_@3, cfb), cfc), cfd), bfd) → new_ltEs17(vwx3000, vwx31000, cfb, cfc, cfd)
new_max17(vwx92, vwx93, vwx94, vwx95, vwx96, vwx97, False, da, db, dc) → @3(vwx92, vwx93, vwx94)
new_ltEs22(vwx300, vwx3100, ty_Float) → new_ltEs14(vwx300, vwx3100)
new_lt20(vwx3000, vwx31000, ty_Char) → new_lt4(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, app(app(ty_Either, fh), ga)) → new_ltEs4(vwx3002, vwx31002, fh, ga)
new_compare1(vwx300, vwx3100, False, cea, ceb) → GT
new_compare27(vwx300, vwx3100, False, dd) → new_compare14(vwx300, vwx3100, new_ltEs15(vwx300, vwx3100, dd), dd)
new_compare6(@0, @0) → EQ
new_ltEs22(vwx300, vwx3100, ty_Integer) → new_ltEs9(vwx300, vwx3100)
new_esEs26(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_lt20(vwx3000, vwx31000, ty_Float) → new_lt10(vwx3000, vwx31000)
new_max(Char(Succ(vwx3000)), Char(Succ(vwx31000)), ty_Char) → new_max135(vwx3000, vwx31000, new_not(new_esEs16(new_primCmpNat0(vwx3000, vwx31000), GT)))
new_esEs11(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_lt21(vwx300, vwx3100, app(app(app(ty_@3, bef), beg), beh)) → new_lt5(vwx300, vwx3100, bef, beg, beh)
new_lt20(vwx3000, vwx31000, ty_Double) → new_lt12(vwx3000, vwx31000)
new_ltEs20(vwx301, vwx3101, app(app(ty_Either, bch), bda)) → new_ltEs4(vwx301, vwx3101, bch, bda)
new_esEs15(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_esEs27(vwx142, vwx143, ty_Ordering) → new_esEs16(vwx142, vwx143)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, app(app(ty_Either, cfg), cfh)) → new_ltEs4(vwx3000, vwx31000, cfg, cfh)
new_max(GT, GT, ty_Ordering) → GT
new_max(Char(Zero), Char(Zero), ty_Char) → new_max12(new_not(new_esEs16(EQ, GT)))
new_esEs33(vwx1421, vwx1431, ty_Float) → new_esEs24(vwx1421, vwx1431)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Char) → new_ltEs13(vwx3000, vwx31000)
new_max111(vwx3000, vwx301, vwx31000, vwx3101, False) → Double(Pos(vwx3000), vwx301)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, app(app(ty_@2, edg), edh)) → new_esEs4(vwx1420, vwx1430, edg, edh)
new_esEs27(vwx142, vwx143, ty_Int) → new_esEs19(vwx142, vwx143)
new_ltEs19(vwx3002, vwx31002, ty_Int) → new_ltEs8(vwx3002, vwx31002)
new_ltEs24(vwx302, vwx3102, ty_Int) → new_ltEs8(vwx302, vwx3102)
new_esEs27(vwx142, vwx143, app(app(app(ty_@3, dae), daf), dag)) → new_esEs7(vwx142, vwx143, dae, daf, dag)
new_ltEs20(vwx301, vwx3101, app(app(ty_@2, bcf), bcg)) → new_ltEs7(vwx301, vwx3101, bcf, bcg)
new_esEs33(vwx1421, vwx1431, ty_Char) → new_esEs20(vwx1421, vwx1431)
new_lt12(Double(vwx3000, vwx3001), Double(vwx31000, vwx31001)) → new_esEs16(new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001)), LT)
new_esEs32(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_max(Integer(Neg(Succ(vwx30000))), Integer(Pos(vwx31000)), ty_Integer) → new_max16(vwx30000, vwx31000, new_not(new_esEs16(LT, GT)))
new_esEs12(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_max(:%(vwx300, vwx301), :%(vwx3100, vwx3101), app(ty_Ratio, bbh)) → new_max134(vwx300, vwx301, vwx3100, vwx3101, new_not(new_esEs16(new_compare17(vwx300, vwx3101, vwx3100, vwx301, bbh), GT)), bbh)
new_esEs30(vwx1422, vwx1432, ty_@0) → new_esEs21(vwx1422, vwx1432)
new_compare0([], [], df) → EQ
new_primEqNat0(Zero, Zero) → True
new_lt20(vwx3000, vwx31000, app(ty_Maybe, bag)) → new_lt6(vwx3000, vwx31000, bag)
new_compare24(vwx300, vwx3100, False, bb, bc) → new_compare12(vwx300, vwx3100, new_ltEs4(vwx300, vwx3100, bb, bc), bb, bc)
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(app(ty_@3, eb), ec), ed)) → new_esEs7(vwx1420, vwx1430, eb, ec, ed)
new_esEs13(vwx3002, vwx31002, ty_Int) → new_esEs19(vwx3002, vwx31002)
new_esEs8(vwx3001, vwx31001, ty_Char) → new_esEs20(vwx3001, vwx31001)
new_max130(vwx310000, True) → Integer(Pos(Succ(vwx310000)))
new_esEs26(vwx1420, vwx1430, app(ty_Maybe, chf)) → new_esEs6(vwx1420, vwx1430, chf)
new_ltEs20(vwx301, vwx3101, ty_Bool) → new_ltEs10(vwx301, vwx3101)
new_esEs10(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs15(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs16(LT, GT) → False
new_esEs16(GT, LT) → False
new_max114(vwx3000, vwx301, vwx31000, vwx3101, False) → Double(Neg(vwx3000), vwx301)
new_max(@3(vwx300, vwx301, vwx302), @3(vwx3100, vwx3101, vwx3102), app(app(app(ty_@3, bcc), bcd), bce)) → new_max17(vwx300, vwx301, vwx302, vwx3100, vwx3101, vwx3102, new_pePe(new_lt23(vwx300, vwx3100, bcc), vwx300, vwx3100, new_pePe(new_lt22(vwx301, vwx3101, bcd), vwx301, vwx3101, new_ltEs24(vwx302, vwx3102, bce), bcd), bcc), bcc, bcd, bce)
new_max(@0, @0, ty_@0) → @0
new_esEs17(False, False) → True
new_esEs17(False, True) → False
new_esEs17(True, False) → False
new_ltEs21(vwx300, vwx3100, ty_Bool) → new_ltEs10(vwx300, vwx3100)
new_ltEs8(vwx300, vwx3100) → new_not(new_esEs16(new_compare7(vwx300, vwx3100), GT))
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(ty_Either, feb), fec)) → new_ltEs4(vwx3000, vwx31000, feb, fec)
new_compare12(vwx300, vwx3100, False, bb, bc) → GT
new_max125(True) → Neg(Zero)
new_esEs9(vwx3000, vwx31000, app(app(app(ty_@3, fgf), fgg), fgh)) → new_esEs7(vwx3000, vwx31000, fgf, fgg, fgh)
new_max111(vwx3000, vwx301, vwx31000, vwx3101, True) → Double(Neg(vwx31000), vwx3101)
new_esEs30(vwx1422, vwx1432, ty_Bool) → new_esEs17(vwx1422, vwx1432)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Integer) → new_ltEs9(vwx3000, vwx31000)
new_esEs31(vwx1421, vwx1431, app(app(app(ty_@3, dhd), dhe), dhf)) → new_esEs7(vwx1421, vwx1431, dhd, dhe, dhf)
new_esEs13(vwx3002, vwx31002, ty_Ordering) → new_esEs16(vwx3002, vwx31002)
new_esEs9(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_primPlusNat0(Succ(vwx2580), vwx310100) → Succ(Succ(new_primPlusNat1(vwx2580, vwx310100)))
new_ltEs20(vwx301, vwx3101, ty_@0) → new_ltEs6(vwx301, vwx3101)
new_esEs11(vwx3000, vwx31000, app(app(ty_@2, fag), fah)) → new_esEs4(vwx3000, vwx31000, fag, fah)
new_max110(vwx3000, vwx301, vwx31000, vwx3101, True) → Double(Neg(vwx31000), vwx3101)
new_max19(vwx79, vwx80, vwx81, vwx82, True, de) → :(vwx81, vwx82)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_@0) → new_ltEs6(vwx3000, vwx31000)
new_max(Left(vwx300), Right(vwx3100), app(app(ty_Either, bbf), bbg)) → Right(vwx3100)
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_[], fa)) → new_esEs25(vwx1420, vwx1430, fa)
new_esEs26(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_primEqInt(Neg(Succ(vwx1000)), Neg(Succ(vwx1200))) → new_primEqNat0(vwx1000, vwx1200)
new_compare25(vwx300, vwx3100, True) → EQ
new_esEs10(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_lt11(vwx3000, vwx31000, ty_Ordering) → new_lt7(vwx3000, vwx31000)
new_esEs12(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_lt5(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), bef, beg, beh) → new_esEs16(new_compare28(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), new_asAs(new_esEs15(vwx3000, vwx31000, bef), new_asAs(new_esEs14(vwx3001, vwx31001, beg), new_esEs13(vwx3002, vwx31002, beh))), bef, beg, beh), LT)
new_primPlusNat1(Zero, Succ(vwx3101000)) → Succ(vwx3101000)
new_primPlusNat1(Succ(vwx25800), Zero) → Succ(vwx25800)
new_ltEs21(vwx300, vwx3100, ty_Int) → new_ltEs8(vwx300, vwx3100)
new_ltEs21(vwx300, vwx3100, ty_Double) → new_ltEs5(vwx300, vwx3100)
new_lt23(vwx300, vwx3100, ty_Char) → new_lt4(vwx300, vwx3100)
new_ltEs21(vwx300, vwx3100, ty_Char) → new_ltEs13(vwx300, vwx3100)
new_ltEs22(vwx300, vwx3100, ty_Char) → new_ltEs13(vwx300, vwx3100)
new_max(Neg(Zero), Pos(Zero), ty_Int) → new_max124(new_not(new_esEs16(EQ, GT)))
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_max(EQ, EQ, ty_Ordering) → EQ
new_max19(vwx79, vwx80, vwx81, vwx82, False, de) → :(vwx79, vwx80)
new_ltEs21(vwx300, vwx3100, app(ty_Ratio, cg)) → new_ltEs12(vwx300, vwx3100, cg)
new_esEs34(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_esEs15(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_esEs31(vwx1421, vwx1431, app(ty_Ratio, dhg)) → new_esEs18(vwx1421, vwx1431, dhg)
new_compare5(Double(vwx3000, vwx3001), Double(vwx31000, vwx31001)) → new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001))
new_esEs14(vwx3001, vwx31001, app(ty_Maybe, deb)) → new_esEs6(vwx3001, vwx31001, deb)
new_compare4(vwx300, vwx3100, app(app(ty_@2, cea), ceb)) → new_compare23(vwx300, vwx3100, new_esEs4(vwx300, vwx3100, cea, ceb), cea, ceb)
new_max(Just(vwx300), Just(vwx3100), app(ty_Maybe, bca)) → new_max138(vwx300, vwx3100, new_ltEs23(vwx300, vwx3100, bca), bca)
new_max16(vwx30000, vwx31000, True) → Integer(Pos(vwx31000))
new_compare24(vwx300, vwx3100, True, bb, bc) → EQ
new_esEs31(vwx1421, vwx1431, app(app(ty_Either, dhb), dhc)) → new_esEs5(vwx1421, vwx1431, dhb, dhc)
new_compare17(vwx300, vwx3101, vwx3100, vwx301, ty_Integer) → new_compare3(new_sr0(vwx300, vwx3101), new_sr0(vwx3100, vwx301))
new_lt7(GT, GT) → new_esEs16(new_compare26(GT, GT, True), LT)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_compare4(vwx300, vwx3100, ty_Char) → new_compare9(vwx300, vwx3100)
new_ltEs14(vwx300, vwx3100) → new_not(new_esEs16(new_compare11(vwx300, vwx3100), GT))
new_max134(vwx57, vwx58, vwx59, vwx60, False, dca) → :%(vwx57, vwx58)
new_primEqInt(Pos(Succ(vwx1000)), Pos(Succ(vwx1200))) → new_primEqNat0(vwx1000, vwx1200)
new_compare4(vwx300, vwx3100, app(app(ty_Either, bb), bc)) → new_compare24(vwx300, vwx3100, new_esEs5(vwx300, vwx3100, bb, bc), bb, bc)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_max121(vwx3000, vwx31000, True) → Neg(Succ(vwx31000))
new_max(Integer(Pos(Zero)), Integer(Pos(Zero)), ty_Integer) → new_max129(new_not(new_esEs16(EQ, GT)))
new_lt22(vwx301, vwx3101, app(app(ty_@2, cbe), cbf)) → new_lt14(vwx301, vwx3101, cbe, cbf)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Ordering) → new_ltEs11(vwx3000, vwx31000)
new_max11(vwx3000, False) → Char(Succ(vwx3000))
new_esEs5(Right(vwx1420), Right(vwx1430), dac, app(app(ty_Either, ech), eda)) → new_esEs5(vwx1420, vwx1430, ech, eda)
new_esEs6(Just(vwx1420), Nothing, dg) → False
new_esEs6(Nothing, Just(vwx1430), dg) → False
new_primEqNat0(Succ(vwx1000), Succ(vwx1200)) → new_primEqNat0(vwx1000, vwx1200)
new_lt19(vwx3001, vwx31001, ty_@0) → new_lt13(vwx3001, vwx31001)
new_max(Pos(Succ(vwx3000)), Pos(Zero), ty_Int) → new_max117(vwx3000, new_not(new_esEs16(GT, GT)))
new_lt21(vwx300, vwx3100, ty_Int) → new_lt15(vwx300, vwx3100)
new_max(Integer(Neg(Zero)), Integer(Neg(Succ(vwx310000))), ty_Integer) → new_max131(vwx310000, new_not(new_esEs16(new_primCmpNat0(Succ(vwx310000), Zero), GT)))
new_primCmpInt(Neg(Succ(vwx30000)), Neg(vwx31000)) → new_primCmpNat0(vwx31000, Succ(vwx30000))
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Float) → new_esEs24(vwx1420, vwx1430)
new_esEs12(vwx3000, vwx31000, app(ty_Ratio, cb)) → new_esEs18(vwx3000, vwx31000, cb)
new_max(False, False, ty_Bool) → False
new_lt20(vwx3000, vwx31000, app(ty_Ratio, baf)) → new_lt17(vwx3000, vwx31000, baf)
new_esEs21(@0, @0) → True
new_esEs30(vwx1422, vwx1432, ty_Float) → new_esEs24(vwx1422, vwx1432)
new_max11(vwx3000, True) → Char(Zero)
new_esEs32(vwx1420, vwx1430, app(ty_Maybe, ebb)) → new_esEs6(vwx1420, vwx1430, ebb)
new_compare23(vwx300, vwx3100, False, cea, ceb) → new_compare1(vwx300, vwx3100, new_ltEs7(vwx300, vwx3100, cea, ceb), cea, ceb)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, app(app(app(ty_@3, cgd), cge), cgf)) → new_ltEs17(vwx3000, vwx31000, cgd, cge, cgf)
new_primPlusNat1(Succ(vwx25800), Succ(vwx3101000)) → Succ(Succ(new_primPlusNat1(vwx25800, vwx3101000)))
new_esEs9(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_esEs26(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_ltEs18(vwx3001, vwx31001, app(app(ty_Either, fbf), fbg)) → new_ltEs4(vwx3001, vwx31001, fbf, fbg)
new_esEs8(vwx3001, vwx31001, app(app(ty_Either, ffb), ffc)) → new_esEs5(vwx3001, vwx31001, ffb, ffc)
new_esEs32(vwx1420, vwx1430, app(app(ty_Either, ead), eae)) → new_esEs5(vwx1420, vwx1430, ead, eae)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_max(Char(Succ(vwx3000)), Char(Zero), ty_Char) → new_max11(vwx3000, new_not(new_esEs16(GT, GT)))
new_lt19(vwx3001, vwx31001, app(app(app(ty_@3, hg), hh), baa)) → new_lt5(vwx3001, vwx31001, hg, hh, baa)
new_esEs9(vwx3000, vwx31000, app(app(ty_Either, fgd), fge)) → new_esEs5(vwx3000, vwx31000, fgd, fge)
new_compare3(Integer(vwx3000), Integer(vwx31000)) → new_primCmpInt(vwx3000, vwx31000)
new_ltEs20(vwx301, vwx3101, app(ty_Maybe, bdc)) → new_ltEs15(vwx301, vwx3101, bdc)
new_ltEs11(GT, LT) → False
new_primEqInt(Neg(Zero), Pos(Succ(vwx1200))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vwx1200))) → False
new_esEs14(vwx3001, vwx31001, app(app(ty_@2, dec), ded)) → new_esEs4(vwx3001, vwx31001, dec, ded)
new_ltEs6(vwx300, vwx3100) → new_not(new_esEs16(new_compare6(vwx300, vwx3100), GT))
new_primCompAux00(vwx204, EQ) → vwx204
new_primCmpInt(Pos(Zero), Pos(Succ(vwx310000))) → new_primCmpNat0(Zero, Succ(vwx310000))
new_max138(vwx33, vwx34, False, dbg) → Just(vwx33)
new_esEs11(vwx3000, vwx31000, app(ty_Ratio, fae)) → new_esEs18(vwx3000, vwx31000, fae)
new_esEs14(vwx3001, vwx31001, ty_Double) → new_esEs22(vwx3001, vwx31001)
new_ltEs11(LT, LT) → True
new_not(False) → True
new_esEs8(vwx3001, vwx31001, ty_Float) → new_esEs24(vwx3001, vwx31001)
new_ltEs22(vwx300, vwx3100, app(app(ty_Either, bga), bgb)) → new_ltEs4(vwx300, vwx3100, bga, bgb)
new_esEs8(vwx3001, vwx31001, app(ty_Maybe, ffh)) → new_esEs6(vwx3001, vwx31001, ffh)
new_lt19(vwx3001, vwx31001, ty_Int) → new_lt15(vwx3001, vwx31001)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, ty_Integer) → new_ltEs9(vwx3000, vwx31000)
new_compare4(vwx300, vwx3100, app(ty_Maybe, dd)) → new_compare27(vwx300, vwx3100, new_esEs6(vwx300, vwx3100, dd), dd)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_max17(vwx92, vwx93, vwx94, vwx95, vwx96, vwx97, True, da, db, dc) → @3(vwx95, vwx96, vwx97)
new_esEs26(vwx1420, vwx1430, app(ty_Ratio, che)) → new_esEs18(vwx1420, vwx1430, che)
new_ltEs22(vwx300, vwx3100, ty_Double) → new_ltEs5(vwx300, vwx3100)
new_esEs25([], :(vwx1430, vwx1431), cgg) → False
new_esEs25(:(vwx1420, vwx1421), [], cgg) → False
new_max133(vwx26, vwx27, True, fbb, fbc) → Right(vwx27)
new_esEs34(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_max120(False) → Pos(Zero)
new_compare0(:(vwx3000, vwx3001), [], df) → GT
new_lt9(True, True) → new_esEs16(new_compare25(True, True, True), LT)
new_esEs11(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_esEs26(vwx1420, vwx1430, app(app(ty_Either, cgh), cha)) → new_esEs5(vwx1420, vwx1430, cgh, cha)
new_ltEs23(vwx300, vwx3100, ty_Integer) → new_ltEs9(vwx300, vwx3100)
new_lt23(vwx300, vwx3100, ty_Integer) → new_lt16(vwx300, vwx3100)
new_lt7(LT, GT) → new_esEs16(new_compare26(LT, GT, False), LT)
new_lt7(GT, LT) → new_esEs16(new_compare26(GT, LT, False), LT)
new_lt22(vwx301, vwx3101, app(ty_[], ccc)) → new_lt18(vwx301, vwx3101, ccc)
new_esEs33(vwx1421, vwx1431, app(app(ty_@2, efa), efb)) → new_esEs4(vwx1421, vwx1431, efa, efb)
new_lt15(Pos(Zero), Neg(Zero)) → new_esEs16(EQ, LT)
new_lt15(Neg(Zero), Pos(Zero)) → new_esEs16(EQ, LT)
new_ltEs18(vwx3001, vwx31001, ty_Ordering) → new_ltEs11(vwx3001, vwx31001)
new_ltEs19(vwx3002, vwx31002, app(ty_[], gd)) → new_ltEs16(vwx3002, vwx31002, gd)
new_ltEs24(vwx302, vwx3102, ty_Ordering) → new_ltEs11(vwx302, vwx3102)
new_lt19(vwx3001, vwx31001, app(app(ty_@2, gh), ha)) → new_lt14(vwx3001, vwx31001, gh, ha)
new_ltEs22(vwx300, vwx3100, ty_Int) → new_ltEs8(vwx300, vwx3100)
new_esEs12(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_esEs9(vwx3000, vwx31000, app(ty_Ratio, fha)) → new_esEs18(vwx3000, vwx31000, fha)
new_ltEs21(vwx300, vwx3100, ty_Integer) → new_ltEs9(vwx300, vwx3100)
new_max14(True) → Integer(Pos(Zero))
new_ltEs23(vwx300, vwx3100, app(ty_[], bhg)) → new_ltEs16(vwx300, vwx3100, bhg)
new_primMulInt(Neg(vwx3000), Neg(vwx31010)) → Pos(new_primMulNat0(vwx3000, vwx31010))
new_esEs26(vwx1420, vwx1430, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_primEqNat0(Zero, Succ(vwx1200)) → False
new_primEqNat0(Succ(vwx1000), Zero) → False
new_ltEs19(vwx3002, vwx31002, ty_@0) → new_ltEs6(vwx3002, vwx31002)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Float, bfd) → new_ltEs14(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, app(app(app(ty_@3, fcc), fcd), fce)) → new_ltEs17(vwx3001, vwx31001, fcc, fcd, fce)
new_lt20(vwx3000, vwx31000, app(app(ty_Either, bad), bae)) → new_lt8(vwx3000, vwx31000, bad, bae)
new_esEs12(vwx3000, vwx31000, app(app(ty_Either, be), bf)) → new_esEs5(vwx3000, vwx31000, be, bf)
new_max(True, True, ty_Bool) → True
new_ltEs15(Just(vwx3000), Nothing, bfe) → False
new_ltEs19(vwx3002, vwx31002, ty_Ordering) → new_ltEs11(vwx3002, vwx31002)
new_max131(vwx310000, True) → Integer(Neg(Succ(vwx310000)))
new_ltEs19(vwx3002, vwx31002, ty_Char) → new_ltEs13(vwx3002, vwx31002)
new_max(Integer(Pos(Zero)), Integer(Neg(Succ(vwx310000))), ty_Integer) → new_max13(vwx310000, new_not(new_esEs16(GT, GT)))
new_esEs11(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_ltEs19(vwx3002, vwx31002, ty_Bool) → new_ltEs10(vwx3002, vwx31002)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Ordering, dad) → new_esEs16(vwx1420, vwx1430)
new_pePe(True, vwx142, vwx143, vwx144, dab) → True
new_ltEs17(@3(vwx3000, vwx3001, vwx3002), @3(vwx31000, vwx31001, vwx31002), fb, fc, fd) → new_pePe(new_lt20(vwx3000, vwx31000, fb), vwx3000, vwx31000, new_pePe(new_lt19(vwx3001, vwx31001, fc), vwx3001, vwx31001, new_ltEs19(vwx3002, vwx31002, fd), fc), fb)
new_esEs33(vwx1421, vwx1431, app(ty_[], efc)) → new_esEs25(vwx1421, vwx1431, efc)
new_esEs8(vwx3001, vwx31001, ty_Int) → new_esEs19(vwx3001, vwx31001)
new_lt7(EQ, GT) → new_esEs16(new_compare26(EQ, GT, False), LT)
new_lt7(GT, EQ) → new_esEs16(new_compare26(GT, EQ, False), LT)
new_compare23(vwx300, vwx3100, True, cea, ceb) → EQ
new_primCmpInt(Pos(Zero), Neg(Succ(vwx310000))) → GT
new_esEs14(vwx3001, vwx31001, ty_Integer) → new_esEs23(vwx3001, vwx31001)
new_esEs12(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_Ratio, ceg), bfd) → new_ltEs12(vwx3000, vwx31000, ceg)
new_ltEs18(vwx3001, vwx31001, ty_Float) → new_ltEs14(vwx3001, vwx31001)
new_lt19(vwx3001, vwx31001, app(ty_[], hf)) → new_lt18(vwx3001, vwx31001, hf)
new_max(Double(Neg(vwx3000), vwx301), Double(Pos(vwx31000), vwx3101), ty_Double) → new_max114(vwx3000, vwx301, vwx31000, vwx3101, new_not(new_esEs16(new_primCmpInt(Neg(new_primMulNat0(vwx3000, vwx31000)), new_sr(vwx301, vwx3101)), GT)))
new_ltEs18(vwx3001, vwx31001, ty_Integer) → new_ltEs9(vwx3001, vwx31001)
new_esEs10(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_ltEs20(vwx301, vwx3101, ty_Ordering) → new_ltEs11(vwx301, vwx3101)
new_esEs14(vwx3001, vwx31001, app(ty_[], dee)) → new_esEs25(vwx3001, vwx31001, dee)
new_max135(vwx3000, vwx31000, False) → Char(Succ(vwx3000))
new_esEs13(vwx3002, vwx31002, app(ty_Ratio, dcg)) → new_esEs18(vwx3002, vwx31002, dcg)
new_lt18(:(vwx3000, vwx3001), [], bee) → new_esEs16(GT, LT)
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(ty_Either, dh), ea)) → new_esEs5(vwx1420, vwx1430, dh, ea)
new_max110(vwx3000, vwx301, vwx31000, vwx3101, False) → Double(Neg(vwx3000), vwx301)
new_ltEs20(vwx301, vwx3101, app(ty_[], bdd)) → new_ltEs16(vwx301, vwx3101, bdd)
new_ltEs11(EQ, EQ) → True
new_esEs10(vwx3000, vwx31000, app(app(ty_@2, ehe), ehf)) → new_esEs4(vwx3000, vwx31000, ehe, ehf)
new_compare26(vwx300, vwx3100, False) → new_compare10(vwx300, vwx3100, new_ltEs11(vwx300, vwx3100))
new_esEs9(vwx3000, vwx31000, app(app(ty_@2, fhc), fhd)) → new_esEs4(vwx3000, vwx31000, fhc, fhd)
new_esEs14(vwx3001, vwx31001, ty_Int) → new_esEs19(vwx3001, vwx31001)
new_ltEs23(vwx300, vwx3100, app(ty_Ratio, bhe)) → new_ltEs12(vwx300, vwx3100, bhe)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Bool) → new_ltEs10(vwx3000, vwx31000)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Double) → new_esEs22(vwx1420, vwx1430)
new_esEs26(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_ltEs22(vwx300, vwx3100, app(ty_[], bge)) → new_ltEs16(vwx300, vwx3100, bge)
new_esEs10(vwx3000, vwx31000, app(app(ty_Either, egf), egg)) → new_esEs5(vwx3000, vwx31000, egf, egg)
new_lt7(EQ, EQ) → new_esEs16(new_compare26(EQ, EQ, True), LT)
new_max122(vwx3000, False) → Neg(Succ(vwx3000))
new_esEs30(vwx1422, vwx1432, ty_Ordering) → new_esEs16(vwx1422, vwx1432)
new_esEs13(vwx3002, vwx31002, ty_Float) → new_esEs24(vwx3002, vwx31002)
new_esEs16(LT, LT) → True
new_esEs13(vwx3002, vwx31002, ty_@0) → new_esEs21(vwx3002, vwx31002)
new_ltEs10(True, False) → False
new_asAs(False, vwx152) → False
new_lt11(vwx3000, vwx31000, ty_Double) → new_lt12(vwx3000, vwx31000)
new_esEs25(:(vwx1420, vwx1421), :(vwx1430, vwx1431), cgg) → new_asAs(new_esEs26(vwx1420, vwx1430, cgg), new_esEs25(vwx1421, vwx1431, cgg))
new_primMulInt(Neg(vwx3000), Pos(vwx31010)) → Neg(new_primMulNat0(vwx3000, vwx31010))
new_primMulInt(Pos(vwx3000), Neg(vwx31010)) → Neg(new_primMulNat0(vwx3000, vwx31010))
new_esEs14(vwx3001, vwx31001, app(app(app(ty_@3, ddf), ddg), ddh)) → new_esEs7(vwx3001, vwx31001, ddf, ddg, ddh)
new_lt22(vwx301, vwx3101, ty_Char) → new_lt4(vwx301, vwx3101)
new_ltEs19(vwx3002, vwx31002, ty_Float) → new_ltEs14(vwx3002, vwx31002)
new_esEs32(vwx1420, vwx1430, app(app(app(ty_@3, eaf), eag), eah)) → new_esEs7(vwx1420, vwx1430, eaf, eag, eah)
new_esEs11(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs34(vwx1420, vwx1430, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_esEs16(GT, GT) → True
new_esEs22(Double(vwx100, vwx101), Double(vwx120, vwx121)) → new_esEs19(new_sr(vwx100, vwx120), new_sr(vwx101, vwx121))
new_lt23(vwx300, vwx3100, app(app(ty_@2, ccg), cch)) → new_lt14(vwx300, vwx3100, ccg, cch)
new_ltEs18(vwx3001, vwx31001, app(app(ty_@2, fbd), fbe)) → new_ltEs7(vwx3001, vwx31001, fbd, fbe)
new_max132(vwx19, vwx20, False, fhh, gaa) → Left(vwx19)
new_esEs10(vwx3000, vwx31000, app(ty_Maybe, ehd)) → new_esEs6(vwx3000, vwx31000, ehd)
new_max(Neg(Zero), Neg(Succ(vwx31000)), ty_Int) → new_max112(vwx31000, new_not(new_esEs16(GT, GT)))
new_max(Integer(Neg(Zero)), Integer(Pos(Zero)), ty_Integer) → new_max14(new_not(new_esEs16(EQ, GT)))
new_lt21(vwx300, vwx3100, app(app(ty_Either, beb), bec)) → new_lt8(vwx300, vwx3100, beb, bec)
new_lt21(vwx300, vwx3100, app(ty_Ratio, bed)) → new_lt17(vwx300, vwx3100, bed)
new_esEs10(vwx3000, vwx31000, app(ty_Ratio, ehc)) → new_esEs18(vwx3000, vwx31000, ehc)
new_esEs14(vwx3001, vwx31001, ty_@0) → new_esEs21(vwx3001, vwx31001)
new_max116(vwx3000, vwx31000, True) → Pos(Succ(vwx31000))
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_Ratio, fed)) → new_ltEs12(vwx3000, vwx31000, fed)
new_lt11(vwx3000, vwx31000, ty_Char) → new_lt4(vwx3000, vwx31000)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_compare14(vwx300, vwx3100, True, dd) → LT
new_esEs8(vwx3001, vwx31001, ty_@0) → new_esEs21(vwx3001, vwx31001)
new_ltEs20(vwx301, vwx3101, app(ty_Ratio, bdb)) → new_ltEs12(vwx301, vwx3101, bdb)
new_max([], [], app(ty_[], bcb)) → []
new_esEs34(vwx1420, vwx1430, app(ty_Ratio, ega)) → new_esEs18(vwx1420, vwx1430, ega)
new_esEs33(vwx1421, vwx1431, ty_@0) → new_esEs21(vwx1421, vwx1431)
new_esEs8(vwx3001, vwx31001, app(ty_Ratio, ffg)) → new_esEs18(vwx3001, vwx31001, ffg)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_@0, bfd) → new_ltEs6(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Double, bfd) → new_ltEs5(vwx3000, vwx31000)
new_max(Pos(Succ(vwx3000)), Neg(vwx3100), ty_Int) → Pos(Succ(vwx3000))
new_lt11(vwx3000, vwx31000, ty_Integer) → new_lt16(vwx3000, vwx31000)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, app(ty_Maybe, edf)) → new_esEs6(vwx1420, vwx1430, edf)
new_lt21(vwx300, vwx3100, app(ty_Maybe, bd)) → new_lt6(vwx300, vwx3100, bd)
new_max115(vwx129, vwx130, vwx131, vwx132, True, fhf, fhg) → @2(vwx131, vwx132)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Bool, dad) → new_esEs17(vwx1420, vwx1430)
new_esEs27(vwx142, vwx143, app(app(ty_@2, dba), dbb)) → new_esEs4(vwx142, vwx143, dba, dbb)
new_esEs14(vwx3001, vwx31001, ty_Ordering) → new_esEs16(vwx3001, vwx31001)
new_max129(True) → Integer(Pos(Zero))
new_lt23(vwx300, vwx3100, app(app(app(ty_@3, cdf), cdg), cdh)) → new_lt5(vwx300, vwx3100, cdf, cdg, cdh)
new_esEs34(vwx1420, vwx1430, app(ty_Maybe, egb)) → new_esEs6(vwx1420, vwx1430, egb)
new_compare4(vwx300, vwx3100, ty_Integer) → new_compare3(vwx300, vwx3100)
new_esEs26(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, ty_Double) → new_esEs22(vwx1420, vwx1430)
new_compare4(vwx300, vwx3100, ty_Bool) → new_compare25(vwx300, vwx3100, new_esEs17(vwx300, vwx3100))
new_esEs26(vwx1420, vwx1430, ty_Int) → new_esEs19(vwx1420, vwx1430)
new_esEs32(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_max119(True) → Pos(Zero)
new_esEs32(vwx1420, vwx1430, app(ty_Ratio, eba)) → new_esEs18(vwx1420, vwx1430, eba)
new_max1(False) → Integer(Neg(Zero))
new_max(EQ, GT, ty_Ordering) → GT
new_max(GT, EQ, ty_Ordering) → GT
new_ltEs22(vwx300, vwx3100, app(app(ty_@2, bfg), bfh)) → new_ltEs7(vwx300, vwx3100, bfg, bfh)
new_esEs11(vwx3000, vwx31000, app(ty_[], fba)) → new_esEs25(vwx3000, vwx31000, fba)
new_lt15(Neg(Zero), Pos(Succ(vwx310000))) → new_esEs16(LT, LT)
new_compare27(vwx300, vwx3100, True, dd) → EQ
new_esEs15(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, app(ty_[], fcb)) → new_ltEs16(vwx3001, vwx31001, fcb)
new_primPlusNat1(Zero, Zero) → Zero
new_compare0([], :(vwx31000, vwx31001), df) → LT
new_max136(vwx31000, True) → Char(Succ(vwx31000))
new_ltEs10(True, True) → True
new_lt23(vwx300, vwx3100, ty_Ordering) → new_lt7(vwx300, vwx3100)
new_esEs12(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Double, dad) → new_esEs22(vwx1420, vwx1430)
new_asAs(True, vwx152) → vwx152
new_max(Integer(Pos(Zero)), Integer(Neg(Zero)), ty_Integer) → new_max15(new_not(new_esEs16(EQ, GT)))
new_esEs13(vwx3002, vwx31002, ty_Char) → new_esEs20(vwx3002, vwx31002)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, ty_Ordering) → new_esEs16(vwx1420, vwx1430)
new_max(Neg(Zero), Pos(Succ(vwx31000)), ty_Int) → new_max123(vwx31000, new_not(new_esEs16(LT, GT)))
new_lt18([], :(vwx31000, vwx31001), bee) → new_esEs16(LT, LT)
new_lt11(vwx3000, vwx31000, app(app(ty_Either, fch), fda)) → new_lt8(vwx3000, vwx31000, fch, fda)
new_esEs23(Integer(vwx100), Integer(vwx120)) → new_primEqInt(vwx100, vwx120)
new_compare25(vwx300, vwx3100, False) → new_compare16(vwx300, vwx3100, new_ltEs10(vwx300, vwx3100))
new_esEs27(vwx142, vwx143, ty_Integer) → new_esEs23(vwx142, vwx143)
new_ltEs18(vwx3001, vwx31001, ty_Double) → new_ltEs5(vwx3001, vwx31001)
new_max1(True) → Integer(Neg(Zero))
new_ltEs20(vwx301, vwx3101, ty_Int) → new_ltEs8(vwx301, vwx3101)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Int) → new_esEs19(vwx1420, vwx1430)
new_esEs33(vwx1421, vwx1431, ty_Integer) → new_esEs23(vwx1421, vwx1431)
new_lt11(vwx3000, vwx31000, app(app(app(ty_@3, fde), fdf), fdg)) → new_lt5(vwx3000, vwx31000, fde, fdf, fdg)
new_max129(False) → Integer(Pos(Zero))
new_compare13(vwx300, vwx3100, True, dbd, dbe, dbf) → LT
new_ltEs5(vwx300, vwx3100) → new_not(new_esEs16(new_compare5(vwx300, vwx3100), GT))
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, ty_Float) → new_ltEs14(vwx3000, vwx31000)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(ty_@2, cec), ced), bfd) → new_ltEs7(vwx3000, vwx31000, cec, ced)
new_max(:(vwx300, vwx301), [], app(ty_[], bcb)) → :(vwx300, vwx301)
new_max([], :(vwx3100, vwx3101), app(ty_[], bcb)) → :(vwx3100, vwx3101)
new_esEs13(vwx3002, vwx31002, app(app(app(ty_@3, dcd), dce), dcf)) → new_esEs7(vwx3002, vwx31002, dcd, dce, dcf)
new_esEs31(vwx1421, vwx1431, app(ty_Maybe, dhh)) → new_esEs6(vwx1421, vwx1431, dhh)
new_max(Pos(Zero), Pos(Zero), ty_Int) → new_max119(new_not(new_esEs16(EQ, GT)))
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_[], fef)) → new_ltEs16(vwx3000, vwx31000, fef)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_max126(vwx30000, vwx31000, True) → Integer(Pos(vwx31000))
new_esEs30(vwx1422, vwx1432, app(app(ty_@2, dgg), dgh)) → new_esEs4(vwx1422, vwx1432, dgg, dgh)
new_compare8(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), ty_Int) → new_compare7(new_sr(vwx3000, vwx31001), new_sr(vwx31000, vwx3001))
new_not(True) → False
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_Ratio, ee)) → new_esEs18(vwx1420, vwx1430, ee)
new_esEs30(vwx1422, vwx1432, app(ty_Maybe, dgf)) → new_esEs6(vwx1422, vwx1432, dgf)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, ty_Ordering) → new_ltEs11(vwx3000, vwx31000)
new_max113(vwx3000, vwx301, vwx31000, vwx3101, False) → Double(Pos(vwx3000), vwx301)
new_esEs16(EQ, GT) → False
new_esEs16(GT, EQ) → False
new_compare9(Char(vwx3000), Char(vwx31000)) → new_primCmpNat0(vwx3000, vwx31000)
new_ltEs11(LT, GT) → True
new_ltEs10(False, True) → True
new_lt20(vwx3000, vwx31000, app(ty_[], bah)) → new_lt18(vwx3000, vwx31000, bah)
new_lt8(Right(vwx3000), Right(vwx31000), beb, bec) → new_esEs16(new_compare24(Right(vwx3000), Right(vwx31000), new_esEs11(vwx3000, vwx31000, bec), beb, bec), LT)
new_lt19(vwx3001, vwx31001, ty_Char) → new_lt4(vwx3001, vwx31001)
new_esEs10(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_lt11(vwx3000, vwx31000, ty_Bool) → new_lt9(vwx3000, vwx31000)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Char) → new_esEs20(vwx1420, vwx1430)
new_max(:(vwx300, vwx301), :(vwx3100, vwx3101), app(ty_[], bcb)) → new_max19(vwx300, vwx301, vwx3100, vwx3101, new_not(new_esEs16(new_primCompAux0(vwx300, vwx3100, new_compare0(vwx301, vwx3101, bcb), bcb), GT)), bcb)
new_max16(vwx30000, vwx31000, False) → Integer(Neg(Succ(vwx30000)))
new_ltEs23(vwx300, vwx3100, app(app(app(ty_@3, bhh), caa), cab)) → new_ltEs17(vwx300, vwx3100, bhh, caa, cab)
new_ltEs24(vwx302, vwx3102, ty_Char) → new_ltEs13(vwx302, vwx3102)
new_lt23(vwx300, vwx3100, ty_@0) → new_lt13(vwx300, vwx3100)
new_esEs27(vwx142, vwx143, ty_Bool) → new_esEs17(vwx142, vwx143)
new_max116(vwx3000, vwx31000, False) → Pos(Succ(vwx3000))
new_primMulNat0(Zero, Zero) → Zero
new_esEs11(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_lt21(vwx300, vwx3100, ty_Double) → new_lt12(vwx300, vwx3100)
new_max(Pos(Zero), Neg(Succ(vwx31000)), ty_Int) → new_max18(vwx31000, new_not(new_esEs16(GT, GT)))
new_ltEs18(vwx3001, vwx31001, ty_Int) → new_ltEs8(vwx3001, vwx31001)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, ty_Bool) → new_ltEs10(vwx3000, vwx31000)
new_ltEs15(Nothing, Just(vwx31000), bfe) → True
new_lt11(vwx3000, vwx31000, app(app(ty_@2, fcf), fcg)) → new_lt14(vwx3000, vwx31000, fcf, fcg)
new_esEs9(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_esEs13(vwx3002, vwx31002, ty_Integer) → new_esEs23(vwx3002, vwx31002)
new_max133(vwx26, vwx27, False, fbb, fbc) → Right(vwx26)
new_esEs26(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_esEs32(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_ltEs16(vwx300, vwx3100, bff) → new_not(new_esEs16(new_compare0(vwx300, vwx3100, bff), GT))
new_lt22(vwx301, vwx3101, ty_@0) → new_lt13(vwx301, vwx3101)
new_lt6(Nothing, Nothing, bd) → new_esEs16(new_compare27(Nothing, Nothing, True, bd), LT)
new_ltEs24(vwx302, vwx3102, ty_Float) → new_ltEs14(vwx302, vwx3102)
new_ltEs23(vwx300, vwx3100, app(app(ty_Either, bhc), bhd)) → new_ltEs4(vwx300, vwx3100, bhc, bhd)
new_max128(vwx310000, False) → Integer(Pos(Zero))
new_lt22(vwx301, vwx3101, ty_Integer) → new_lt16(vwx301, vwx3101)
new_esEs27(vwx142, vwx143, app(ty_Maybe, dg)) → new_esEs6(vwx142, vwx143, dg)
new_compare28(vwx300, vwx3100, False, dbd, dbe, dbf) → new_compare13(vwx300, vwx3100, new_ltEs17(vwx300, vwx3100, dbd, dbe, dbf), dbd, dbe, dbf)
new_lt21(vwx300, vwx3100, app(ty_[], bee)) → new_lt18(vwx300, vwx3100, bee)
new_esEs12(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, ty_Bool) → new_ltEs10(vwx3001, vwx31001)
new_compare4(vwx300, vwx3100, ty_Float) → new_compare11(vwx300, vwx3100)
new_esEs27(vwx142, vwx143, ty_Float) → new_esEs24(vwx142, vwx143)
new_esEs8(vwx3001, vwx31001, app(app(ty_@2, fga), fgb)) → new_esEs4(vwx3001, vwx31001, fga, fgb)
new_ltEs23(vwx300, vwx3100, ty_Ordering) → new_ltEs11(vwx300, vwx3100)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, app(ty_[], eea)) → new_esEs25(vwx1420, vwx1430, eea)
new_esEs27(vwx142, vwx143, ty_Double) → new_esEs22(vwx142, vwx143)
new_ltEs22(vwx300, vwx3100, ty_@0) → new_ltEs6(vwx300, vwx3100)
new_max117(vwx3000, True) → Pos(Zero)
new_esEs14(vwx3001, vwx31001, ty_Char) → new_esEs20(vwx3001, vwx31001)
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_Maybe, ecd), dad) → new_esEs6(vwx1420, vwx1430, ecd)
new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, ty_Integer) → new_compare3(new_sr0(vwx3000, vwx31001), new_sr0(vwx31000, vwx3001))
new_esEs15(vwx3000, vwx31000, app(app(ty_Either, def), deg)) → new_esEs5(vwx3000, vwx31000, def, deg)
new_lt22(vwx301, vwx3101, app(app(ty_Either, cbg), cbh)) → new_lt8(vwx301, vwx3101, cbg, cbh)
new_esEs34(vwx1420, vwx1430, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_esEs8(vwx3001, vwx31001, app(ty_[], fgc)) → new_esEs25(vwx3001, vwx31001, fgc)
new_esEs34(vwx1420, vwx1430, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_ltEs22(vwx300, vwx3100, app(ty_Maybe, bgd)) → new_ltEs15(vwx300, vwx3100, bgd)
new_esEs27(vwx142, vwx143, app(ty_[], cgg)) → new_esEs25(vwx142, vwx143, cgg)
new_esEs25([], [], cgg) → True
new_esEs12(vwx3000, vwx31000, app(ty_[], cf)) → new_esEs25(vwx3000, vwx31000, cf)
new_lt19(vwx3001, vwx31001, app(ty_Ratio, hd)) → new_lt17(vwx3001, vwx31001, hd)
new_esEs33(vwx1421, vwx1431, app(app(app(ty_@3, eed), eee), eef)) → new_esEs7(vwx1421, vwx1431, eed, eee, eef)
new_ltEs23(vwx300, vwx3100, ty_Float) → new_ltEs14(vwx300, vwx3100)
new_ltEs20(vwx301, vwx3101, ty_Double) → new_ltEs5(vwx301, vwx3101)
new_lt20(vwx3000, vwx31000, app(app(ty_@2, bab), bac)) → new_lt14(vwx3000, vwx31000, bab, bac)
new_esEs32(vwx1420, vwx1430, ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_ltEs4(Left(vwx3000), Right(vwx31000), bfc, bfd) → True
new_ltEs15(Just(vwx3000), Just(vwx31000), app(ty_Maybe, fee)) → new_ltEs15(vwx3000, vwx31000, fee)
new_max120(True) → Neg(Zero)
new_primCmpNat0(Zero, Succ(vwx310000)) → LT
new_max123(vwx31000, True) → Pos(Succ(vwx31000))
new_esEs31(vwx1421, vwx1431, app(app(ty_@2, eaa), eab)) → new_esEs4(vwx1421, vwx1431, eaa, eab)
new_ltEs22(vwx300, vwx3100, app(app(app(ty_@3, bgf), bgg), bgh)) → new_ltEs17(vwx300, vwx3100, bgf, bgg, bgh)
new_esEs9(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, ty_@0) → new_ltEs6(vwx3001, vwx31001)
new_lt19(vwx3001, vwx31001, ty_Bool) → new_lt9(vwx3001, vwx31001)
new_compare4(vwx300, vwx3100, ty_Ordering) → new_compare26(vwx300, vwx3100, new_esEs16(vwx300, vwx3100))
new_esEs34(vwx1420, vwx1430, ty_@0) → new_esEs21(vwx1420, vwx1430)
new_max(@2(vwx300, vwx301), @2(vwx3100, vwx3101), app(app(ty_@2, bbd), bbe)) → new_max115(vwx300, vwx301, vwx3100, vwx3101, new_pePe(new_lt21(vwx300, vwx3100, bbd), vwx300, vwx3100, new_ltEs20(vwx301, vwx3101, bbe), bbd), bbd, bbe)
new_ltEs21(vwx300, vwx3100, app(ty_[], bff)) → new_ltEs16(vwx300, vwx3100, bff)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_@0) → new_esEs21(vwx1420, vwx1430)
new_max15(False) → Integer(Pos(Zero))
new_max125(False) → Neg(Zero)
new_lt15(Neg(Succ(vwx30000)), Neg(vwx31000)) → new_esEs16(new_primCmpNat0(vwx31000, Succ(vwx30000)), LT)
new_esEs13(vwx3002, vwx31002, ty_Bool) → new_esEs17(vwx3002, vwx31002)
new_esEs15(vwx3000, vwx31000, app(ty_Ratio, dfc)) → new_esEs18(vwx3000, vwx31000, dfc)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_compare26(vwx300, vwx3100, True) → EQ
new_max(Char(Zero), Char(Succ(vwx31000)), ty_Char) → new_max136(vwx31000, new_not(new_esEs16(LT, GT)))
new_lt20(vwx3000, vwx31000, ty_Int) → new_lt15(vwx3000, vwx31000)
new_esEs9(vwx3000, vwx31000, app(ty_Maybe, fhb)) → new_esEs6(vwx3000, vwx31000, fhb)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Float) → new_ltEs14(vwx3000, vwx31000)
new_esEs14(vwx3001, vwx31001, ty_Bool) → new_esEs17(vwx3001, vwx31001)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_Maybe, ceh), bfd) → new_ltEs15(vwx3000, vwx31000, ceh)
new_max137(vwx300, vwx301, vwx3100, vwx3101, False) → Float(vwx300, vwx301)
new_lt4(Char(vwx3000), Char(vwx31000)) → new_esEs16(new_primCmpNat0(vwx3000, vwx31000), LT)
new_sr(vwx300, vwx3101) → new_primMulInt(vwx300, vwx3101)
new_esEs15(vwx3000, vwx31000, app(ty_Maybe, dfd)) → new_esEs6(vwx3000, vwx31000, dfd)
new_compare7(vwx300, vwx3100) → new_primCmpInt(vwx300, vwx3100)
new_max(LT, GT, ty_Ordering) → GT
new_max(GT, LT, ty_Ordering) → GT
new_lt11(vwx3000, vwx31000, ty_Int) → new_lt15(vwx3000, vwx31000)
new_max121(vwx3000, vwx31000, False) → Neg(Succ(vwx3000))
new_esEs18(:%(vwx100, vwx101), :%(vwx120, vwx121), dbh) → new_asAs(new_esEs29(vwx100, vwx120, dbh), new_esEs28(vwx101, vwx121, dbh))
new_esEs5(Right(vwx1420), Right(vwx1430), dac, app(ty_Ratio, ede)) → new_esEs18(vwx1420, vwx1430, ede)
new_esEs33(vwx1421, vwx1431, ty_Double) → new_esEs22(vwx1421, vwx1431)
new_max18(vwx31000, True) → Neg(Succ(vwx31000))
new_max(Pos(Succ(vwx3000)), Pos(Succ(vwx31000)), ty_Int) → new_max116(vwx3000, vwx31000, new_not(new_esEs16(new_primCmpNat0(vwx3000, vwx31000), GT)))
new_esEs30(vwx1422, vwx1432, ty_Int) → new_esEs19(vwx1422, vwx1432)
new_lt20(vwx3000, vwx31000, ty_Bool) → new_lt9(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, ty_Bool) → new_esEs17(vwx3001, vwx31001)
new_esEs27(vwx142, vwx143, ty_@0) → new_esEs21(vwx142, vwx143)
new_lt15(Pos(Succ(vwx30000)), Pos(vwx31000)) → new_esEs16(new_primCmpNat0(Succ(vwx30000), vwx31000), LT)
new_esEs30(vwx1422, vwx1432, ty_Integer) → new_esEs23(vwx1422, vwx1432)
new_max10(vwx30000, vwx31000, True) → Integer(Neg(vwx31000))
new_esEs14(vwx3001, vwx31001, app(ty_Ratio, dea)) → new_esEs18(vwx3001, vwx31001, dea)
new_ltEs19(vwx3002, vwx31002, ty_Double) → new_ltEs5(vwx3002, vwx31002)
new_ltEs23(vwx300, vwx3100, ty_Char) → new_ltEs13(vwx300, vwx3100)
new_esEs31(vwx1421, vwx1431, ty_Double) → new_esEs22(vwx1421, vwx1431)
new_esEs26(vwx1420, vwx1430, app(app(app(ty_@3, chb), chc), chd)) → new_esEs7(vwx1420, vwx1430, chb, chc, chd)
new_compare16(vwx300, vwx3100, True) → LT
new_lt23(vwx300, vwx3100, app(ty_Ratio, cdc)) → new_lt17(vwx300, vwx3100, cdc)
new_esEs27(vwx142, vwx143, ty_Char) → new_esEs20(vwx142, vwx143)
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(app(ty_@3, ebh), eca), ecb), dad) → new_esEs7(vwx1420, vwx1430, ebh, eca, ecb)
new_max(Left(vwx300), Left(vwx3100), app(app(ty_Either, bbf), bbg)) → new_max132(vwx300, vwx3100, new_ltEs21(vwx300, vwx3100, bbf), bbf, bbg)
new_max118(vwx31000, True) → Pos(Succ(vwx31000))
new_lt15(Pos(Zero), Neg(Succ(vwx310000))) → new_esEs16(GT, LT)
new_max(LT, EQ, ty_Ordering) → EQ
new_max(EQ, LT, ty_Ordering) → EQ
new_lt20(vwx3000, vwx31000, ty_Ordering) → new_lt7(vwx3000, vwx31000)
new_lt22(vwx301, vwx3101, ty_Int) → new_lt15(vwx301, vwx3101)
new_lt7(LT, EQ) → new_esEs16(new_compare26(LT, EQ, False), LT)
new_lt7(EQ, LT) → new_esEs16(new_compare26(EQ, LT, False), LT)
new_esEs27(vwx142, vwx143, app(app(ty_Either, dac), dad)) → new_esEs5(vwx142, vwx143, dac, dad)
new_ltEs4(Left(vwx3000), Left(vwx31000), app(ty_[], cfa), bfd) → new_ltEs16(vwx3000, vwx31000, cfa)
new_esEs30(vwx1422, vwx1432, app(app(app(ty_@3, dgb), dgc), dgd)) → new_esEs7(vwx1422, vwx1432, dgb, dgc, dgd)
new_lt15(Pos(Succ(vwx30000)), Neg(vwx31000)) → new_esEs16(GT, LT)
new_primEqInt(Neg(Zero), Neg(Succ(vwx1200))) → False
new_primEqInt(Neg(Succ(vwx1000)), Neg(Zero)) → False
new_ltEs4(Left(vwx3000), Left(vwx31000), app(app(ty_Either, cee), cef), bfd) → new_ltEs4(vwx3000, vwx31000, cee, cef)
new_esEs11(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(ty_@2, fdh), fea)) → new_ltEs7(vwx3000, vwx31000, fdh, fea)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, app(ty_[], cgc)) → new_ltEs16(vwx3000, vwx31000, cgc)
new_ltEs24(vwx302, vwx3102, app(ty_[], cba)) → new_ltEs16(vwx302, vwx3102, cba)
new_max(Integer(Pos(Succ(vwx30000))), Integer(Neg(vwx31000)), ty_Integer) → new_max127(vwx30000, vwx31000, new_not(new_esEs16(GT, GT)))
new_compare4(vwx300, vwx3100, app(app(app(ty_@3, dbd), dbe), dbf)) → new_compare28(vwx300, vwx3100, new_esEs7(vwx300, vwx3100, dbd, dbe, dbf), dbd, dbe, dbf)
new_esEs10(vwx3000, vwx31000, app(app(app(ty_@3, egh), eha), ehb)) → new_esEs7(vwx3000, vwx31000, egh, eha, ehb)
new_ltEs24(vwx302, vwx3102, app(ty_Maybe, cah)) → new_ltEs15(vwx302, vwx3102, cah)
new_esEs15(vwx3000, vwx31000, ty_Integer) → new_esEs23(vwx3000, vwx31000)
new_max18(vwx31000, False) → Pos(Zero)
new_ltEs21(vwx300, vwx3100, app(app(ty_Either, bfc), bfd)) → new_ltEs4(vwx300, vwx3100, bfc, bfd)
new_esEs28(vwx101, vwx121, ty_Int) → new_esEs19(vwx101, vwx121)
new_max123(vwx31000, False) → Neg(Zero)
new_primCmpNat0(Succ(vwx30000), Succ(vwx310000)) → new_primCmpNat0(vwx30000, vwx310000)
new_lt19(vwx3001, vwx31001, app(app(ty_Either, hb), hc)) → new_lt8(vwx3001, vwx31001, hb, hc)
new_lt15(Pos(Zero), Pos(Succ(vwx310000))) → new_esEs16(new_primCmpNat0(Zero, Succ(vwx310000)), LT)
new_esEs6(Nothing, Nothing, dg) → True
new_lt18([], [], bee) → new_esEs16(EQ, LT)
new_ltEs20(vwx301, vwx3101, ty_Float) → new_ltEs14(vwx301, vwx3101)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Int, bfd) → new_ltEs8(vwx3000, vwx31000)
new_compare12(vwx300, vwx3100, True, bb, bc) → LT
new_esEs15(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_compare14(vwx300, vwx3100, False, dd) → GT
new_compare4(vwx300, vwx3100, app(ty_[], df)) → new_compare0(vwx300, vwx3100, df)
new_max127(vwx30000, vwx31000, True) → Integer(Neg(vwx31000))
new_lt14(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), bdh, bea) → new_esEs16(new_compare23(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), new_asAs(new_esEs9(vwx3000, vwx31000, bdh), new_esEs8(vwx3001, vwx31001, bea)), bdh, bea), LT)
new_esEs33(vwx1421, vwx1431, app(ty_Ratio, eeg)) → new_esEs18(vwx1421, vwx1431, eeg)
new_max13(vwx310000, False) → Integer(Pos(Zero))
new_max113(vwx3000, vwx301, vwx31000, vwx3101, True) → Double(Pos(vwx31000), vwx3101)
new_ltEs21(vwx300, vwx3100, ty_Ordering) → new_ltEs11(vwx300, vwx3100)
new_esEs30(vwx1422, vwx1432, app(ty_Ratio, dge)) → new_esEs18(vwx1422, vwx1432, dge)
new_esEs30(vwx1422, vwx1432, ty_Double) → new_esEs22(vwx1422, vwx1432)
new_max122(vwx3000, True) → Neg(Zero)
new_primCompAux00(vwx204, LT) → LT
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Char, bfd) → new_ltEs13(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Int, dad) → new_esEs19(vwx1420, vwx1430)
new_esEs26(vwx1420, vwx1430, app(app(ty_@2, chg), chh)) → new_esEs4(vwx1420, vwx1430, chg, chh)
new_ltEs18(vwx3001, vwx31001, ty_Char) → new_ltEs13(vwx3001, vwx31001)
new_max12(False) → Char(Zero)
new_primEqInt(Pos(Zero), Pos(Succ(vwx1200))) → False
new_primEqInt(Pos(Succ(vwx1000)), Pos(Zero)) → False
new_esEs34(vwx1420, vwx1430, app(app(app(ty_@3, eff), efg), efh)) → new_esEs7(vwx1420, vwx1430, eff, efg, efh)
new_ltEs23(vwx300, vwx3100, ty_Bool) → new_ltEs10(vwx300, vwx3100)
new_esEs31(vwx1421, vwx1431, ty_Bool) → new_esEs17(vwx1421, vwx1431)
new_esEs12(vwx3000, vwx31000, app(app(app(ty_@3, bg), bh), ca)) → new_esEs7(vwx3000, vwx31000, bg, bh, ca)
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs11(GT, EQ) → False
new_max128(vwx310000, True) → Integer(Pos(Succ(vwx310000)))
new_primCmpNat0(Succ(vwx30000), Zero) → GT
new_max130(vwx310000, False) → Integer(Neg(Zero))
new_max12(True) → Char(Zero)
new_primCmpInt(Neg(Zero), Pos(Succ(vwx310000))) → LT
new_max(Right(vwx300), Left(vwx3100), app(app(ty_Either, bbf), bbg)) → Right(vwx300)
new_esEs10(vwx3000, vwx31000, ty_Float) → new_esEs24(vwx3000, vwx31000)
new_sr0(Integer(vwx3000), Integer(vwx31010)) → Integer(new_primMulInt(vwx3000, vwx31010))
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Int) → new_ltEs8(vwx3000, vwx31000)
new_ltEs20(vwx301, vwx3101, ty_Char) → new_ltEs13(vwx301, vwx3101)
new_primEqInt(Neg(Succ(vwx1000)), Pos(vwx120)) → False
new_primEqInt(Pos(Succ(vwx1000)), Neg(vwx120)) → False
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_Ratio, ecc), dad) → new_esEs18(vwx1420, vwx1430, ecc)
new_lt19(vwx3001, vwx31001, app(ty_Maybe, he)) → new_lt6(vwx3001, vwx31001, he)
new_max(Nothing, Nothing, app(ty_Maybe, bca)) → Nothing
new_esEs9(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_lt16(Integer(vwx3000), Integer(vwx31000)) → new_esEs16(new_primCmpInt(vwx3000, vwx31000), LT)
new_max13(vwx310000, True) → Integer(Neg(Succ(vwx310000)))
new_lt13(@0, @0) → new_esEs16(EQ, LT)
new_ltEs24(vwx302, vwx3102, ty_Bool) → new_ltEs10(vwx302, vwx3102)
new_esEs12(vwx3000, vwx31000, ty_@0) → new_esEs21(vwx3000, vwx31000)
new_ltEs23(vwx300, vwx3100, ty_@0) → new_ltEs6(vwx300, vwx3100)
new_esEs10(vwx3000, vwx31000, app(ty_[], ehg)) → new_esEs25(vwx3000, vwx31000, ehg)
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(ty_@2, ece), ecf), dad) → new_esEs4(vwx1420, vwx1430, ece, ecf)
new_esEs30(vwx1422, vwx1432, ty_Char) → new_esEs20(vwx1422, vwx1432)
new_pePe(False, vwx142, vwx143, vwx144, dab) → new_asAs(new_esEs27(vwx142, vwx143, dab), vwx144)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_@0, dad) → new_esEs21(vwx1420, vwx1430)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, app(app(ty_@2, cfe), cff)) → new_ltEs7(vwx3000, vwx31000, cfe, cff)
new_esEs7(@3(vwx1420, vwx1421, vwx1422), @3(vwx1430, vwx1431, vwx1432), dae, daf, dag) → new_asAs(new_esEs32(vwx1420, vwx1430, dae), new_asAs(new_esEs31(vwx1421, vwx1431, daf), new_esEs30(vwx1422, vwx1432, dag)))
new_ltEs11(LT, EQ) → True
new_max(Pos(Zero), Pos(Succ(vwx31000)), ty_Int) → new_max118(vwx31000, new_not(new_esEs16(LT, GT)))
new_lt9(True, False) → new_esEs16(new_compare25(True, False, False), LT)
new_lt9(False, True) → new_esEs16(new_compare25(False, True, False), LT)
new_esEs32(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_max126(vwx30000, vwx31000, False) → Integer(Pos(Succ(vwx30000)))
new_compare8(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), ty_Integer) → new_compare3(new_sr0(vwx3000, vwx31001), new_sr0(vwx31000, vwx3001))
new_ltEs4(Right(vwx3000), Left(vwx31000), bfc, bfd) → False
new_esEs13(vwx3002, vwx31002, app(ty_[], ddc)) → new_esEs25(vwx3002, vwx31002, ddc)
new_ltEs20(vwx301, vwx3101, app(app(app(ty_@3, bde), bdf), bdg)) → new_ltEs17(vwx301, vwx3101, bde, bdf, bdg)
new_ltEs4(Left(vwx3000), Left(vwx31000), ty_Ordering, bfd) → new_ltEs11(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, app(ty_Maybe, faf)) → new_esEs6(vwx3000, vwx31000, faf)
new_primCmpInt(Pos(Succ(vwx30000)), Pos(vwx31000)) → new_primCmpNat0(Succ(vwx30000), vwx31000)
new_primPlusNat0(Zero, vwx310100) → Succ(vwx310100)
new_ltEs21(vwx300, vwx3100, app(ty_Maybe, bfe)) → new_ltEs15(vwx300, vwx3100, bfe)
new_esEs33(vwx1421, vwx1431, ty_Ordering) → new_esEs16(vwx1421, vwx1431)
new_max134(vwx57, vwx58, vwx59, vwx60, True, dca) → :%(vwx59, vwx60)
new_lt11(vwx3000, vwx31000, app(ty_Ratio, fdb)) → new_lt17(vwx3000, vwx31000, fdb)
new_esEs6(Just(vwx1420), Just(vwx1430), ty_Integer) → new_esEs23(vwx1420, vwx1430)
new_esEs16(LT, EQ) → False
new_esEs16(EQ, LT) → False
new_max(Float(vwx300, vwx301), Float(vwx3100, vwx3101), ty_Float) → new_max137(vwx300, vwx301, vwx3100, vwx3101, new_not(new_esEs16(new_compare7(new_sr(vwx300, vwx3100), new_sr(vwx301, vwx3101)), GT)))
new_esEs13(vwx3002, vwx31002, app(app(ty_Either, dcb), dcc)) → new_esEs5(vwx3002, vwx31002, dcb, dcc)
new_max135(vwx3000, vwx31000, True) → Char(Succ(vwx31000))
new_esEs13(vwx3002, vwx31002, app(app(ty_@2, dda), ddb)) → new_esEs4(vwx3002, vwx31002, dda, ddb)
new_ltEs11(GT, GT) → True
new_lt7(LT, LT) → new_esEs16(new_compare26(LT, LT, True), LT)
new_max(False, True, ty_Bool) → True
new_max(True, False, ty_Bool) → True
new_primCmpInt(Pos(Succ(vwx30000)), Neg(vwx31000)) → GT
new_esEs8(vwx3001, vwx31001, app(app(app(ty_@3, ffd), ffe), fff)) → new_esEs7(vwx3001, vwx31001, ffd, ffe, fff)
new_lt21(vwx300, vwx3100, app(app(ty_@2, bdh), bea)) → new_lt14(vwx300, vwx3100, bdh, bea)
new_esEs33(vwx1421, vwx1431, ty_Int) → new_esEs19(vwx1421, vwx1431)
new_ltEs23(vwx300, vwx3100, app(ty_Maybe, bhf)) → new_ltEs15(vwx300, vwx3100, bhf)
new_esEs9(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_primMulInt(Pos(vwx3000), Pos(vwx31010)) → Pos(new_primMulNat0(vwx3000, vwx31010))
new_lt21(vwx300, vwx3100, ty_Float) → new_lt10(vwx300, vwx3100)
new_ltEs22(vwx300, vwx3100, app(ty_Ratio, bgc)) → new_ltEs12(vwx300, vwx3100, bgc)
new_max(Double(Pos(vwx3000), vwx301), Double(Neg(vwx31000), vwx3101), ty_Double) → new_max111(vwx3000, vwx301, vwx31000, vwx3101, new_not(new_esEs16(new_primCmpInt(Neg(new_primMulNat0(vwx3000, vwx31000)), new_sr(vwx301, vwx3101)), GT)))
new_max(Neg(Succ(vwx3000)), Neg(Succ(vwx31000)), ty_Int) → new_max121(vwx3000, vwx31000, new_not(new_esEs16(new_primCmpNat0(vwx31000, vwx3000), GT)))
new_lt15(Neg(Zero), Neg(Succ(vwx310000))) → new_esEs16(new_primCmpNat0(Succ(vwx310000), Zero), LT)
new_ltEs9(vwx300, vwx3100) → new_not(new_esEs16(new_compare3(vwx300, vwx3100), GT))
new_esEs5(Right(vwx1420), Left(vwx1430), dac, dad) → False
new_esEs5(Left(vwx1420), Right(vwx1430), dac, dad) → False
new_esEs16(EQ, EQ) → True
new_compare1(vwx300, vwx3100, True, cea, ceb) → LT
new_max(Integer(Neg(Succ(vwx30000))), Integer(Neg(vwx31000)), ty_Integer) → new_max10(vwx30000, vwx31000, new_not(new_esEs16(new_primCmpNat0(vwx31000, Succ(vwx30000)), GT)))
new_ltEs23(vwx300, vwx3100, app(app(ty_@2, bha), bhb)) → new_ltEs7(vwx300, vwx3100, bha, bhb)
new_lt11(vwx3000, vwx31000, ty_Float) → new_lt10(vwx3000, vwx31000)
new_max132(vwx19, vwx20, True, fhh, gaa) → Left(vwx20)
new_lt21(vwx300, vwx3100, ty_Char) → new_lt4(vwx300, vwx3100)
new_max(Integer(Pos(Zero)), Integer(Pos(Succ(vwx310000))), ty_Integer) → new_max128(vwx310000, new_not(new_esEs16(new_primCmpNat0(Zero, Succ(vwx310000)), GT)))
new_lt21(vwx300, vwx3100, ty_Integer) → new_lt16(vwx300, vwx3100)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs33(vwx1421, vwx1431, app(ty_Maybe, eeh)) → new_esEs6(vwx1421, vwx1431, eeh)
new_ltEs21(vwx300, vwx3100, app(app(ty_@2, bfa), bfb)) → new_ltEs7(vwx300, vwx3100, bfa, bfb)
new_compare28(vwx300, vwx3100, True, dbd, dbe, dbf) → EQ
new_lt23(vwx300, vwx3100, ty_Double) → new_lt12(vwx300, vwx3100)
new_lt21(vwx300, vwx3100, ty_Ordering) → new_lt7(vwx300, vwx3100)
new_max115(vwx129, vwx130, vwx131, vwx132, False, fhf, fhg) → @2(vwx129, vwx130)
new_ltEs15(Just(vwx3000), Just(vwx31000), app(app(app(ty_@3, feg), feh), ffa)) → new_ltEs17(vwx3000, vwx31000, feg, feh, ffa)
new_ltEs15(Just(vwx3000), Just(vwx31000), ty_Double) → new_ltEs5(vwx3000, vwx31000)
new_esEs8(vwx3001, vwx31001, ty_Ordering) → new_esEs16(vwx3001, vwx31001)
new_lt15(Pos(Zero), Pos(Zero)) → new_esEs16(EQ, LT)
new_max10(vwx30000, vwx31000, False) → Integer(Neg(Succ(vwx30000)))
new_primCmpInt(Neg(Zero), Neg(Succ(vwx310000))) → new_primCmpNat0(Succ(vwx310000), Zero)
new_ltEs12(vwx300, vwx3100, cg) → new_not(new_esEs16(new_compare8(vwx300, vwx3100, cg), GT))
new_esEs34(vwx1420, vwx1430, ty_Bool) → new_esEs17(vwx1420, vwx1430)
new_esEs15(vwx3000, vwx31000, app(app(app(ty_@3, deh), dfa), dfb)) → new_esEs7(vwx3000, vwx31000, deh, dfa, dfb)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, app(app(app(ty_@3, edb), edc), edd)) → new_esEs7(vwx1420, vwx1430, edb, edc, edd)
new_max127(vwx30000, vwx31000, False) → Integer(Pos(Succ(vwx30000)))
new_ltEs21(vwx300, vwx3100, ty_Float) → new_ltEs14(vwx300, vwx3100)
new_esEs14(vwx3001, vwx31001, app(app(ty_Either, ddd), dde)) → new_esEs5(vwx3001, vwx31001, ddd, dde)
new_lt6(Just(vwx3000), Just(vwx31000), bd) → new_esEs16(new_compare27(Just(vwx3000), Just(vwx31000), new_esEs12(vwx3000, vwx31000, bd), bd), LT)
new_esEs29(vwx100, vwx120, ty_Int) → new_esEs19(vwx100, vwx120)
new_esEs31(vwx1421, vwx1431, ty_Float) → new_esEs24(vwx1421, vwx1431)
new_lt11(vwx3000, vwx31000, ty_@0) → new_lt13(vwx3000, vwx31000)
new_esEs9(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs29(vwx100, vwx120, ty_Integer) → new_esEs23(vwx100, vwx120)
new_compare4(vwx300, vwx3100, app(ty_Ratio, dbc)) → new_compare8(vwx300, vwx3100, dbc)
new_ltEs24(vwx302, vwx3102, app(app(app(ty_@3, cbb), cbc), cbd)) → new_ltEs17(vwx302, vwx3102, cbb, cbc, cbd)
new_esEs19(vwx10, vwx12) → new_primEqInt(vwx10, vwx12)
new_ltEs13(vwx300, vwx3100) → new_not(new_esEs16(new_compare9(vwx300, vwx3100), GT))
new_lt23(vwx300, vwx3100, app(app(ty_Either, cda), cdb)) → new_lt8(vwx300, vwx3100, cda, cdb)
new_lt19(vwx3001, vwx31001, ty_Ordering) → new_lt7(vwx3001, vwx31001)
new_max131(vwx310000, False) → Integer(Neg(Zero))
new_lt20(vwx3000, vwx31000, ty_@0) → new_lt13(vwx3000, vwx31000)
new_max136(vwx31000, False) → Char(Zero)
new_ltEs19(vwx3002, vwx31002, app(app(ty_@2, ff), fg)) → new_ltEs7(vwx3002, vwx31002, ff, fg)
new_lt11(vwx3000, vwx31000, app(ty_Maybe, fdc)) → new_lt6(vwx3000, vwx31000, fdc)
new_esEs4(@2(vwx1420, vwx1421), @2(vwx1430, vwx1431), dba, dbb) → new_asAs(new_esEs34(vwx1420, vwx1430, dba), new_esEs33(vwx1421, vwx1431, dbb))
new_primMulNat0(Succ(vwx30000), Zero) → Zero
new_primMulNat0(Zero, Succ(vwx310100)) → Zero
new_ltEs7(@2(vwx3000, vwx3001), @2(vwx31000, vwx31001), bfa, bfb) → new_pePe(new_lt11(vwx3000, vwx31000, bfa), vwx3000, vwx31000, new_ltEs18(vwx3001, vwx31001, bfb), bfa)
new_max(Neg(Zero), Neg(Zero), ty_Int) → new_max125(new_not(new_esEs16(EQ, GT)))
new_esEs6(Just(vwx1420), Just(vwx1430), app(ty_Maybe, ef)) → new_esEs6(vwx1420, vwx1430, ef)
new_lt22(vwx301, vwx3101, ty_Float) → new_lt10(vwx301, vwx3101)
new_max(Integer(Neg(Zero)), Integer(Neg(Zero)), ty_Integer) → new_max1(new_not(new_esEs16(EQ, GT)))
new_ltEs11(EQ, LT) → False
new_lt11(vwx3000, vwx31000, app(ty_[], fdd)) → new_lt18(vwx3000, vwx31000, fdd)
new_esEs34(vwx1420, vwx1430, app(app(ty_@2, egc), egd)) → new_esEs4(vwx1420, vwx1430, egc, egd)
new_ltEs24(vwx302, vwx3102, ty_Integer) → new_ltEs9(vwx302, vwx3102)
new_max(Neg(Succ(vwx3000)), Pos(vwx3100), ty_Int) → Pos(vwx3100)
new_max(Double(Pos(vwx3000), vwx301), Double(Pos(vwx31000), vwx3101), ty_Double) → new_max113(vwx3000, vwx301, vwx31000, vwx3101, new_not(new_esEs16(new_primCmpInt(Pos(new_primMulNat0(vwx3000, vwx31000)), new_sr(vwx301, vwx3101)), GT)))
new_max14(False) → Integer(Neg(Zero))
new_esEs6(Just(vwx1420), Just(vwx1430), app(app(ty_@2, eg), eh)) → new_esEs4(vwx1420, vwx1430, eg, eh)
new_ltEs22(vwx300, vwx3100, ty_Ordering) → new_ltEs11(vwx300, vwx3100)
new_max112(vwx31000, True) → Neg(Succ(vwx31000))
new_esEs31(vwx1421, vwx1431, ty_Integer) → new_esEs23(vwx1421, vwx1431)
new_max124(False) → Neg(Zero)
new_esEs31(vwx1421, vwx1431, ty_Int) → new_esEs19(vwx1421, vwx1431)
new_lt19(vwx3001, vwx31001, ty_Integer) → new_lt16(vwx3001, vwx31001)
new_max(Integer(Neg(Zero)), Integer(Pos(Succ(vwx310000))), ty_Integer) → new_max130(vwx310000, new_not(new_esEs16(LT, GT)))
new_esEs30(vwx1422, vwx1432, app(ty_[], dha)) → new_esEs25(vwx1422, vwx1432, dha)
new_esEs15(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs10(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_esEs30(vwx1422, vwx1432, app(app(ty_Either, dfh), dga)) → new_esEs5(vwx1422, vwx1432, dfh, dga)
new_ltEs15(Nothing, Nothing, bfe) → True
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Char, dad) → new_esEs20(vwx1420, vwx1430)
new_esEs11(vwx3000, vwx31000, ty_Ordering) → new_esEs16(vwx3000, vwx31000)
new_esEs10(vwx3000, vwx31000, ty_Int) → new_esEs19(vwx3000, vwx31000)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Integer, dad) → new_esEs23(vwx1420, vwx1430)
new_max(Integer(Pos(Succ(vwx30000))), Integer(Pos(vwx31000)), ty_Integer) → new_max126(vwx30000, vwx31000, new_not(new_esEs16(new_primCmpNat0(Succ(vwx30000), vwx31000), GT)))
new_max119(False) → Pos(Zero)
new_max15(True) → Integer(Neg(Zero))
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, ty_Char) → new_ltEs13(vwx3000, vwx31000)
new_esEs11(vwx3000, vwx31000, app(app(ty_Either, ehh), faa)) → new_esEs5(vwx3000, vwx31000, ehh, faa)
new_esEs15(vwx3000, vwx31000, app(ty_[], dfg)) → new_esEs25(vwx3000, vwx31000, dfg)
new_esEs15(vwx3000, vwx31000, ty_Char) → new_esEs20(vwx3000, vwx31000)
new_ltEs18(vwx3001, vwx31001, app(ty_Maybe, fca)) → new_ltEs15(vwx3001, vwx31001, fca)
new_esEs5(Left(vwx1420), Left(vwx1430), app(app(ty_Either, ebf), ebg), dad) → new_esEs5(vwx1420, vwx1430, ebf, ebg)
new_ltEs19(vwx3002, vwx31002, app(app(app(ty_@3, ge), gf), gg)) → new_ltEs17(vwx3002, vwx31002, ge, gf, gg)
new_lt22(vwx301, vwx3101, ty_Double) → new_lt12(vwx301, vwx3101)
new_esEs33(vwx1421, vwx1431, app(app(ty_Either, eeb), eec)) → new_esEs5(vwx1421, vwx1431, eeb, eec)
new_lt19(vwx3001, vwx31001, ty_Double) → new_lt12(vwx3001, vwx31001)
new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, ty_Int) → new_compare7(new_sr(vwx3000, vwx31001), new_sr(vwx31000, vwx3001))
new_max118(vwx31000, False) → Pos(Zero)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, app(ty_Ratio, cga)) → new_ltEs12(vwx3000, vwx31000, cga)
new_ltEs22(vwx300, vwx3100, ty_Bool) → new_ltEs10(vwx300, vwx3100)
new_esEs31(vwx1421, vwx1431, ty_Char) → new_esEs20(vwx1421, vwx1431)
new_compare4(vwx300, vwx3100, ty_Double) → new_compare5(vwx300, vwx3100)
new_esEs31(vwx1421, vwx1431, ty_Ordering) → new_esEs16(vwx1421, vwx1431)
new_lt20(vwx3000, vwx31000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt5(vwx3000, vwx31000, bba, bbb, bbc)
new_ltEs24(vwx302, vwx3102, ty_@0) → new_ltEs6(vwx302, vwx3102)
new_esEs8(vwx3001, vwx31001, ty_Integer) → new_esEs23(vwx3001, vwx31001)
new_max(Right(vwx300), Right(vwx3100), app(app(ty_Either, bbf), bbg)) → new_max133(vwx300, vwx3100, new_ltEs22(vwx300, vwx3100, bbg), bbf, bbg)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, ty_Double) → new_ltEs5(vwx3000, vwx31000)
new_primMulNat0(Succ(vwx30000), Succ(vwx310100)) → new_primPlusNat0(new_primMulNat0(vwx30000, Succ(vwx310100)), vwx310100)
new_lt23(vwx300, vwx3100, ty_Float) → new_lt10(vwx300, vwx3100)
new_esEs9(vwx3000, vwx31000, app(ty_[], fhe)) → new_esEs25(vwx3000, vwx31000, fhe)
new_ltEs23(vwx300, vwx3100, ty_Int) → new_ltEs8(vwx300, vwx3100)
new_esEs9(vwx3000, vwx31000, ty_Double) → new_esEs22(vwx3000, vwx31000)
new_lt22(vwx301, vwx3101, ty_Ordering) → new_lt7(vwx301, vwx3101)
new_lt22(vwx301, vwx3101, ty_Bool) → new_lt9(vwx301, vwx3101)
new_esEs34(vwx1420, vwx1430, app(ty_[], ege)) → new_esEs25(vwx1420, vwx1430, ege)
new_esEs5(Left(vwx1420), Left(vwx1430), app(ty_[], ecg), dad) → new_esEs25(vwx1420, vwx1430, ecg)
new_lt10(Float(vwx3000, vwx3001), Float(vwx31000, vwx31001)) → new_esEs16(new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001)), LT)
new_lt19(vwx3001, vwx31001, ty_Float) → new_lt10(vwx3001, vwx31001)
new_esEs5(Left(vwx1420), Left(vwx1430), ty_Float, dad) → new_esEs24(vwx1420, vwx1430)
new_lt21(vwx300, vwx3100, ty_@0) → new_lt13(vwx300, vwx3100)
new_ltEs24(vwx302, vwx3102, app(app(ty_Either, cae), caf)) → new_ltEs4(vwx302, vwx3102, cae, caf)
new_max114(vwx3000, vwx301, vwx31000, vwx3101, True) → Double(Pos(vwx31000), vwx3101)
new_max(Double(Neg(vwx3000), vwx301), Double(Neg(vwx31000), vwx3101), ty_Double) → new_max110(vwx3000, vwx301, vwx31000, vwx3101, new_not(new_esEs16(new_primCmpInt(Pos(new_primMulNat0(vwx3000, vwx31000)), new_sr(vwx301, vwx3101)), GT)))
new_esEs5(Right(vwx1420), Right(vwx1430), dac, ty_Float) → new_esEs24(vwx1420, vwx1430)
new_lt23(vwx300, vwx3100, app(ty_[], cde)) → new_lt18(vwx300, vwx3100, cde)
new_compare10(vwx300, vwx3100, True) → LT
new_esEs32(vwx1420, vwx1430, app(ty_[], ebe)) → new_esEs25(vwx1420, vwx1430, ebe)
new_esEs12(vwx3000, vwx31000, app(ty_Maybe, cc)) → new_esEs6(vwx3000, vwx31000, cc)
new_lt17(:%(vwx3000, vwx3001), :%(vwx31000, vwx31001), bed) → new_esEs16(new_compare15(vwx3000, vwx31001, vwx31000, vwx3001, bed), LT)
new_lt15(Neg(Succ(vwx30000)), Pos(vwx31000)) → new_esEs16(LT, LT)
new_lt23(vwx300, vwx3100, ty_Int) → new_lt15(vwx300, vwx3100)
new_esEs5(Right(vwx1420), Right(vwx1430), dac, ty_Char) → new_esEs20(vwx1420, vwx1430)
new_compare11(Float(vwx3000, vwx3001), Float(vwx31000, vwx31001)) → new_compare7(new_sr(vwx3000, vwx31000), new_sr(vwx3001, vwx31001))
new_compare10(vwx300, vwx3100, False) → GT
new_primCompAux00(vwx204, GT) → GT
new_ltEs20(vwx301, vwx3101, ty_Integer) → new_ltEs9(vwx301, vwx3101)
new_ltEs24(vwx302, vwx3102, ty_Double) → new_ltEs5(vwx302, vwx3102)
new_ltEs4(Right(vwx3000), Right(vwx31000), bfc, app(ty_Maybe, cgb)) → new_ltEs15(vwx3000, vwx31000, cgb)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_ltEs11(EQ, GT) → True
new_esEs12(vwx3000, vwx31000, app(app(ty_@2, cd), ce)) → new_esEs4(vwx3000, vwx31000, cd, ce)
new_esEs31(vwx1421, vwx1431, ty_@0) → new_esEs21(vwx1421, vwx1431)
new_esEs10(vwx3000, vwx31000, ty_Bool) → new_esEs17(vwx3000, vwx31000)
new_esEs14(vwx3001, vwx31001, ty_Float) → new_esEs24(vwx3001, vwx31001)
new_max138(vwx33, vwx34, True, dbg) → Just(vwx34)
new_primCmpInt(Neg(Succ(vwx30000)), Pos(vwx31000)) → LT
new_lt23(vwx300, vwx3100, app(ty_Maybe, cdd)) → new_lt6(vwx300, vwx3100, cdd)
new_compare16(vwx300, vwx3100, False) → GT

The set Q consists of the following terms:

new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(x0, x1, ty_Bool)
new_ltEs18(x0, x1, ty_@0)
new_compare4(x0, x1, ty_Int)
new_esEs33(x0, x1, ty_Double)
new_max(:%(x0, x1), :%(x2, x3), app(ty_Ratio, x4))
new_max122(x0, True)
new_esEs15(x0, x1, ty_Ordering)
new_ltEs4(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_max(Nothing, Just(x0), app(ty_Maybe, x1))
new_compare1(x0, x1, True, x2, x3)
new_ltEs5(x0, x1)
new_lt19(x0, x1, ty_Bool)
new_compare0(:(x0, x1), [], x2)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_max116(x0, x1, True)
new_lt23(x0, x1, ty_Double)
new_max(Neg(Succ(x0)), Neg(Zero), ty_Int)
new_compare28(x0, x1, False, x2, x3, x4)
new_esEs11(x0, x1, ty_Bool)
new_max137(x0, x1, x2, x3, False)
new_max(GT, LT, ty_Ordering)
new_max(LT, GT, ty_Ordering)
new_ltEs11(EQ, EQ)
new_max14(True)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs14(x0, x1, ty_Bool)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1)
new_esEs32(x0, x1, ty_Char)
new_ltEs4(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_lt19(x0, x1, ty_Float)
new_max114(x0, x1, x2, x3, True)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, LT)
new_compare5(Double(x0, x1), Double(x2, x3))
new_max121(x0, x1, False)
new_esEs31(x0, x1, ty_Float)
new_esEs11(x0, x1, ty_Integer)
new_compare4(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Int)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs4(Left(x0), Right(x1), x2, x3)
new_ltEs4(Right(x0), Left(x1), x2, x3)
new_ltEs4(Right(x0), Right(x1), x2, ty_Char)
new_max(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_max(Integer(Pos(Zero)), Integer(Pos(Zero)), ty_Integer)
new_esEs11(x0, x1, ty_Double)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_max130(x0, False)
new_max(Integer(Pos(Succ(x0))), Integer(Pos(x1)), ty_Integer)
new_esEs30(x0, x1, app(ty_[], x2))
new_lt18(:(x0, x1), :(x2, x3), x4)
new_max133(x0, x1, False, x2, x3)
new_max135(x0, x1, False)
new_lt23(x0, x1, app(ty_Maybe, x2))
new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, ty_Char)
new_primPlusNat0(Zero, x0)
new_esEs28(x0, x1, ty_Int)
new_lt18([], :(x0, x1), x2)
new_esEs6(Just(x0), Just(x1), ty_Ordering)
new_lt8(Right(x0), Left(x1), x2, x3)
new_lt8(Left(x0), Right(x1), x2, x3)
new_ltEs11(GT, LT)
new_ltEs11(LT, GT)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Char)
new_compare17(x0, x1, x2, x3, ty_Integer)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Double)
new_esEs33(x0, x1, ty_Char)
new_primEqNat0(Zero, Zero)
new_max120(True)
new_esEs32(x0, x1, ty_Float)
new_lt19(x0, x1, ty_@0)
new_ltEs15(Just(x0), Just(x1), app(ty_[], x2))
new_lt22(x0, x1, ty_Char)
new_esEs12(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_Bool)
new_pePe(False, x0, x1, x2, x3)
new_max(Char(Succ(x0)), Char(Zero), ty_Char)
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_max(True, False, ty_Bool)
new_max(False, True, ty_Bool)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_primMulNat0(Zero, Zero)
new_lt11(x0, x1, ty_Integer)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Int)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_lt23(x0, x1, ty_Float)
new_lt19(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(GT, GT)
new_max1(False)
new_lt16(Integer(x0), Integer(x1))
new_ltEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_compare4(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs15(Just(x0), Just(x1), ty_Float)
new_esEs13(x0, x1, ty_@0)
new_esEs33(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, ty_Ordering)
new_ltEs24(x0, x1, ty_Double)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs14(x0, x1, app(app(ty_@2, x2), x3))
new_max17(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_primEqNat0(Zero, Succ(x0))
new_compare27(x0, x1, True, x2)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_max11(x0, True)
new_max(EQ, EQ, ty_Ordering)
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Ordering)
new_esEs25([], :(x0, x1), x2)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_max(Left(x0), Left(x1), app(app(ty_Either, x2), x3))
new_max(:(x0, x1), [], app(ty_[], x2))
new_ltEs24(x0, x1, ty_Char)
new_esEs14(x0, x1, app(ty_Ratio, x2))
new_compare4(x0, x1, ty_Char)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_lt11(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Float)
new_compare25(x0, x1, True)
new_lt7(GT, GT)
new_ltEs20(x0, x1, ty_Float)
new_ltEs20(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Just(x0), Just(x1), ty_Integer)
new_max(Integer(Neg(Succ(x0))), Integer(Neg(x1)), ty_Integer)
new_lt21(x0, x1, ty_Integer)
new_compare17(x0, x1, x2, x3, ty_Int)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(x0, x1, ty_Int)
new_lt7(LT, GT)
new_lt7(GT, LT)
new_max([], [], app(ty_[], x0))
new_ltEs10(False, False)
new_esEs18(:%(x0, x1), :%(x2, x3), x4)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, ty_Float)
new_esEs14(x0, x1, ty_Ordering)
new_esEs12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Succ(x0), Succ(x1))
new_max(LT, LT, ty_Ordering)
new_ltEs4(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_max115(x0, x1, x2, x3, False, x4, x5)
new_esEs34(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_lt11(x0, x1, ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Int)
new_max135(x0, x1, True)
new_compare8(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs32(x0, x1, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(ty_[], x2))
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs21(x0, x1, ty_Int)
new_esEs13(x0, x1, ty_Float)
new_esEs15(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs4(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs6(Just(x0), Nothing, x1)
new_max(Pos(Succ(x0)), Pos(Zero), ty_Int)
new_max111(x0, x1, x2, x3, False)
new_primCmpNat0(Zero, Succ(x0))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_lt15(Neg(Zero), Pos(Succ(x0)))
new_lt15(Pos(Zero), Neg(Succ(x0)))
new_max14(False)
new_ltEs4(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs16(x0, x1, x2)
new_ltEs23(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_@0)
new_lt21(x0, x1, ty_Float)
new_ltEs4(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs28(x0, x1, ty_Integer)
new_compare26(x0, x1, True)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Int)
new_lt7(EQ, EQ)
new_lt15(Pos(Zero), Pos(Zero))
new_lt5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs12(x0, x1, ty_Int)
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_Integer)
new_max(Neg(Zero), Pos(Succ(x0)), ty_Int)
new_max(Pos(Zero), Neg(Succ(x0)), ty_Int)
new_esEs32(x0, x1, ty_Integer)
new_max113(x0, x1, x2, x3, False)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs11(x0, x1, ty_Int)
new_compare24(x0, x1, False, x2, x3)
new_ltEs15(Just(x0), Just(x1), ty_Char)
new_esEs31(x0, x1, ty_@0)
new_lt15(Pos(Zero), Pos(Succ(x0)))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt9(False, False)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs24(Float(x0, x1), Float(x2, x3))
new_esEs34(x0, x1, ty_Integer)
new_esEs12(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_max123(x0, False)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs27(x0, x1, ty_@0)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs6(Just(x0), Just(x1), ty_Char)
new_max134(x0, x1, x2, x3, False, x4)
new_ltEs23(x0, x1, ty_@0)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(x0, x1, ty_Integer)
new_ltEs4(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_max(Float(x0, x1), Float(x2, x3), ty_Float)
new_ltEs24(x0, x1, ty_Int)
new_esEs34(x0, x1, ty_Ordering)
new_esEs11(x0, x1, ty_@0)
new_lt8(Left(x0), Left(x1), x2, x3)
new_lt11(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_max(Neg(Zero), Neg(Succ(x0)), ty_Int)
new_max117(x0, False)
new_ltEs4(Left(x0), Left(x1), ty_Bool, x2)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_max(Integer(Neg(Zero)), Integer(Neg(Zero)), ty_Integer)
new_esEs12(x0, x1, app(ty_Ratio, x2))
new_esEs33(x0, x1, ty_Bool)
new_lt11(x0, x1, app(app(ty_@2, x2), x3))
new_lt15(Neg(Succ(x0)), Pos(x1))
new_lt15(Pos(Succ(x0)), Neg(x1))
new_esEs14(x0, x1, app(app(ty_Either, x2), x3))
new_max130(x0, True)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs24(x0, x1, ty_Integer)
new_ltEs18(x0, x1, ty_Ordering)
new_ltEs4(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, ty_@0)
new_primCompAux0(x0, x1, x2, x3)
new_lt6(Nothing, Just(x0), x1)
new_esEs9(x0, x1, ty_@0)
new_compare6(@0, @0)
new_esEs10(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Double)
new_max116(x0, x1, False)
new_lt20(x0, x1, ty_@0)
new_ltEs11(LT, EQ)
new_ltEs11(EQ, LT)
new_ltEs4(Left(x0), Left(x1), ty_@0, x2)
new_lt11(x0, x1, ty_Ordering)
new_lt11(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, ty_Ordering)
new_esEs32(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Zero)
new_max110(x0, x1, x2, x3, True)
new_ltEs4(Right(x0), Right(x1), x2, app(ty_[], x3))
new_max133(x0, x1, True, x2, x3)
new_max129(False)
new_lt23(x0, x1, app(ty_Ratio, x2))
new_ltEs22(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_ltEs10(True, True)
new_esEs12(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Float)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare4(x0, x1, app(ty_[], x2))
new_lt23(x0, x1, app(ty_[], x2))
new_compare12(x0, x1, True, x2, x3)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_ltEs4(Left(x0), Left(x1), ty_Float, x2)
new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs4(Right(x0), Right(x1), x2, ty_@0)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_lt6(Nothing, Nothing, x0)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_max112(x0, False)
new_primMulNat0(Succ(x0), Zero)
new_max126(x0, x1, False)
new_esEs30(x0, x1, ty_Integer)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_lt21(x0, x1, ty_Int)
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs15(x0, x1, ty_Char)
new_lt8(Right(x0), Right(x1), x2, x3)
new_ltEs4(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs26(x0, x1, ty_Int)
new_max131(x0, False)
new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs14(x0, x1, ty_Char)
new_lt23(x0, x1, ty_Bool)
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Ordering)
new_esEs13(x0, x1, ty_Char)
new_max(EQ, LT, ty_Ordering)
new_max(LT, EQ, ty_Ordering)
new_not(True)
new_max129(True)
new_max(Integer(Neg(Zero)), Integer(Pos(Zero)), ty_Integer)
new_max(Integer(Pos(Zero)), Integer(Neg(Zero)), ty_Integer)
new_max138(x0, x1, True, x2)
new_asAs(True, x0)
new_ltEs4(Left(x0), Left(x1), ty_Double, x2)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_max114(x0, x1, x2, x3, False)
new_compare0([], :(x0, x1), x2)
new_esEs15(x0, x1, ty_@0)
new_esEs16(EQ, EQ)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_ltEs21(x0, x1, ty_Float)
new_not(False)
new_esEs34(x0, x1, ty_@0)
new_max126(x0, x1, True)
new_max17(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt19(x0, x1, ty_Int)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_max(Double(Pos(x0), x1), Double(Pos(x2), x3), ty_Double)
new_esEs13(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_lt23(x0, x1, ty_@0)
new_esEs14(x0, x1, ty_Float)
new_ltEs14(x0, x1)
new_ltEs23(x0, x1, ty_Int)
new_esEs20(Char(x0), Char(x1))
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs11(x0, x1, ty_Float)
new_ltEs15(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_ltEs19(x0, x1, ty_@0)
new_esEs21(@0, @0)
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt20(x0, x1, ty_Integer)
new_ltEs23(x0, x1, ty_Float)
new_compare4(x0, x1, app(app(ty_@2, x2), x3))
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(Right(x0), Right(x1), x2, ty_Ordering)
new_max134(x0, x1, x2, x3, True, x4)
new_compare12(x0, x1, False, x2, x3)
new_lt22(x0, x1, app(ty_Ratio, x2))
new_ltEs10(True, False)
new_ltEs10(False, True)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs17(True, False)
new_esEs17(False, True)
new_lt18([], [], x0)
new_max(Integer(Neg(Succ(x0))), Integer(Pos(x1)), ty_Integer)
new_max(Integer(Pos(Succ(x0))), Integer(Neg(x1)), ty_Integer)
new_lt21(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt9(False, True)
new_lt9(True, False)
new_ltEs15(Just(x0), Just(x1), ty_Ordering)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(Just(x0), Just(x1), ty_Integer)
new_compare10(x0, x1, False)
new_ltEs18(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1, ty_Ordering)
new_max12(True)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_esEs14(x0, x1, app(ty_[], x2))
new_esEs14(x0, x1, ty_Int)
new_lt15(Pos(Zero), Neg(Zero))
new_lt15(Neg(Zero), Pos(Zero))
new_esEs15(x0, x1, app(app(ty_@2, x2), x3))
new_lt11(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_max18(x0, True)
new_lt4(Char(x0), Char(x1))
new_ltEs22(x0, x1, ty_Double)
new_esEs11(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Bool)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1, ty_Double)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs4(Left(x0), Left(x1), ty_Char, x2)
new_ltEs11(GT, GT)
new_esEs8(x0, x1, ty_Integer)
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_max16(x0, x1, True)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_ltEs19(x0, x1, ty_Double)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs22(x0, x1, app(ty_[], x2))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primMulNat0(Zero, Succ(x0))
new_ltEs11(EQ, GT)
new_ltEs11(GT, EQ)
new_compare7(x0, x1)
new_ltEs19(x0, x1, ty_Int)
new_lt21(x0, x1, app(ty_Maybe, x2))
new_max(@3(x0, x1, x2), @3(x3, x4, x5), app(app(app(ty_@3, x6), x7), x8))
new_esEs26(x0, x1, ty_Double)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_ltEs19(x0, x1, ty_Integer)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs4(Right(x0), Right(x1), x2, ty_Bool)
new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_primCmpNat0(Succ(x0), Zero)
new_esEs15(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Integer)
new_esEs26(x0, x1, ty_Char)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs6(Nothing, Just(x0), x1)
new_lt22(x0, x1, ty_@0)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(Just(x0), Nothing, x1)
new_ltEs4(Right(x0), Right(x1), x2, ty_Integer)
new_compare9(Char(x0), Char(x1))
new_ltEs4(Right(x0), Right(x1), x2, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs24(x0, x1, ty_Bool)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(EQ, LT)
new_lt7(LT, EQ)
new_ltEs4(Right(x0), Right(x1), x2, ty_Int)
new_compare0([], [], x0)
new_compare14(x0, x1, True, x2)
new_compare14(x0, x1, False, x2)
new_max(Pos(Zero), Pos(Succ(x0)), ty_Int)
new_compare8(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(Just(x0), Just(x1), ty_Double)
new_esEs12(x0, x1, ty_@0)
new_esEs13(x0, x1, ty_Bool)
new_lt11(x0, x1, ty_Int)
new_lt22(x0, x1, ty_Double)
new_ltEs24(x0, x1, app(ty_[], x2))
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, ty_Ordering)
new_ltEs9(x0, x1)
new_pePe(True, x0, x1, x2, x3)
new_ltEs20(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Bool)
new_lt15(Neg(Zero), Neg(Succ(x0)))
new_ltEs24(x0, x1, ty_@0)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_ltEs18(x0, x1, ty_Char)
new_esEs14(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Float)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_compare4(x0, x1, ty_Bool)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_max(GT, GT, ty_Ordering)
new_esEs12(x0, x1, app(ty_Maybe, x2))
new_lt22(x0, x1, ty_Float)
new_compare16(x0, x1, False)
new_esEs15(x0, x1, ty_Float)
new_esEs14(x0, x1, ty_Double)
new_max15(True)
new_lt11(x0, x1, ty_@0)
new_esEs17(False, False)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Double)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_max(@2(x0, x1), @2(x2, x3), app(app(ty_@2, x4), x5))
new_esEs6(Just(x0), Just(x1), ty_Double)
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(Just(x0), Just(x1), ty_Int)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_ltEs23(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Char)
new_lt19(x0, x1, ty_Ordering)
new_compare4(x0, x1, ty_Double)
new_lt7(LT, LT)
new_max119(False)
new_ltEs23(x0, x1, ty_Integer)
new_max(True, True, ty_Bool)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs26(x0, x1, ty_Float)
new_lt12(Double(x0, x1), Double(x2, x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_max132(x0, x1, False, x2, x3)
new_compare10(x0, x1, True)
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Int)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_max136(x0, True)
new_ltEs18(x0, x1, ty_Float)
new_max(Integer(Neg(Zero)), Integer(Neg(Succ(x0))), ty_Integer)
new_max(Char(Succ(x0)), Char(Succ(x1)), ty_Char)
new_esEs6(Just(x0), Just(x1), ty_Float)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Char)
new_max123(x0, True)
new_max(Char(Zero), Char(Succ(x0)), ty_Char)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt10(Float(x0, x1), Float(x2, x3))
new_esEs31(x0, x1, ty_Bool)
new_max119(True)
new_compare27(x0, x1, False, x2)
new_esEs34(x0, x1, ty_Double)
new_esEs15(x0, x1, app(ty_[], x2))
new_max(Double(Neg(x0), x1), Double(Pos(x2), x3), ty_Double)
new_max(Double(Pos(x0), x1), Double(Neg(x2), x3), ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_lt13(@0, @0)
new_max127(x0, x1, True)
new_max118(x0, False)
new_max(:(x0, x1), :(x2, x3), app(ty_[], x4))
new_max121(x0, x1, True)
new_lt6(Just(x0), Nothing, x1)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_ltEs15(Just(x0), Just(x1), ty_Bool)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_compare13(x0, x1, False, x2, x3, x4)
new_esEs6(Nothing, Nothing, x0)
new_max131(x0, True)
new_ltEs15(Nothing, Just(x0), x1)
new_esEs31(x0, x1, ty_Char)
new_esEs34(x0, x1, ty_Float)
new_max(Left(x0), Right(x1), app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_max(Right(x0), Left(x1), app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Char)
new_esEs19(x0, x1)
new_compare4(x0, x1, ty_@0)
new_lt17(:%(x0, x1), :%(x2, x3), x4)
new_ltEs19(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_max(Double(Neg(x0), x1), Double(Neg(x2), x3), ty_Double)
new_compare4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_[], x2))
new_lt21(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_@0)
new_compare4(x0, x1, app(ty_Ratio, x2))
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_esEs29(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Double)
new_max(Neg(Zero), Neg(Zero), ty_Int)
new_compare15(x0, x1, x2, x3, ty_Int)
new_max(Neg(Succ(x0)), Neg(Succ(x1)), ty_Int)
new_max13(x0, False)
new_max10(x0, x1, False)
new_ltEs15(Just(x0), Just(x1), app(ty_Ratio, x2))
new_max(False, False, ty_Bool)
new_esEs30(x0, x1, ty_Double)
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Char)
new_compare26(x0, x1, False)
new_max15(False)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs4(Left(x0), Left(x1), ty_Int, x2)
new_compare11(Float(x0, x1), Float(x2, x3))
new_max118(x0, True)
new_max(Integer(Pos(Zero)), Integer(Neg(Succ(x0))), ty_Integer)
new_max(Integer(Neg(Zero)), Integer(Pos(Succ(x0))), ty_Integer)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, app(ty_[], x2))
new_sr(x0, x1)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, ty_Double)
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs22(x0, x1, ty_Char)
new_lt9(True, True)
new_compare23(x0, x1, False, x2, x3)
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_max(EQ, GT, ty_Ordering)
new_max(GT, EQ, ty_Ordering)
new_compare3(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, ty_Integer)
new_compare4(x0, x1, ty_Ordering)
new_primPlusNat1(Zero, Zero)
new_lt19(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Int)
new_max132(x0, x1, True, x2, x3)
new_ltEs8(x0, x1)
new_ltEs4(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_max(Pos(Zero), Neg(Zero), ty_Int)
new_max(Neg(Zero), Pos(Zero), ty_Int)
new_compare23(x0, x1, True, x2, x3)
new_esEs13(x0, x1, app(ty_Maybe, x2))
new_ltEs23(x0, x1, app(ty_[], x2))
new_max125(True)
new_esEs9(x0, x1, ty_Int)
new_max(Pos(Zero), Pos(Zero), ty_Int)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_max(Pos(Succ(x0)), Neg(x1), ty_Int)
new_max(Char(Zero), Char(Zero), ty_Char)
new_max(Neg(Succ(x0)), Pos(x1), ty_Int)
new_compare25(x0, x1, False)
new_lt11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_Int)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Integer)
new_esEs34(x0, x1, app(ty_[], x2))
new_ltEs23(x0, x1, ty_Double)
new_esEs34(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Ordering)
new_max13(x0, True)
new_ltEs12(x0, x1, x2)
new_lt15(Pos(Succ(x0)), Pos(x1))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_max125(False)
new_max(Pos(Succ(x0)), Pos(Succ(x1)), ty_Int)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, EQ)
new_compare15(x0, x1, x2, x3, ty_Integer)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs15(x0, x1, app(ty_Ratio, x2))
new_lt23(x0, x1, ty_Integer)
new_ltEs18(x0, x1, ty_Integer)
new_ltEs17(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs33(x0, x1, ty_Float)
new_max128(x0, False)
new_ltEs20(x0, x1, ty_Bool)
new_esEs23(Integer(x0), Integer(x1))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_max128(x0, True)
new_max12(False)
new_lt20(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_max111(x0, x1, x2, x3, True)
new_compare4(x0, x1, ty_Float)
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_max110(x0, x1, x2, x3, False)
new_esEs10(x0, x1, ty_Float)
new_esEs13(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Integer)
new_max117(x0, True)
new_esEs9(x0, x1, ty_Float)
new_esEs31(x0, x1, app(ty_[], x2))
new_primMulInt(Pos(x0), Pos(x1))
new_lt19(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_@0)
new_lt11(x0, x1, ty_Double)
new_max(@0, @0, ty_@0)
new_esEs16(LT, LT)
new_ltEs19(x0, x1, ty_Bool)
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt15(Neg(Zero), Neg(Zero))
new_ltEs22(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_@0)
new_max11(x0, False)
new_ltEs23(x0, x1, ty_Char)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_esEs13(x0, x1, ty_Double)
new_esEs25(:(x0, x1), [], x2)
new_max137(x0, x1, x2, x3, True)
new_esEs10(x0, x1, ty_Bool)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs22(x0, x1, ty_@0)
new_lt21(x0, x1, ty_@0)
new_ltEs21(x0, x1, app(ty_[], x2))
new_ltEs22(x0, x1, ty_Int)
new_esEs33(x0, x1, ty_Ordering)
new_max(Right(x0), Right(x1), app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Ordering)
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_esEs14(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, ty_Bool)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Double)
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs14(x0, x1, ty_Integer)
new_compare13(x0, x1, True, x2, x3, x4)
new_ltEs11(LT, LT)
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Just(x0), Just(x1), ty_@0)
new_esEs15(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Ordering)
new_max18(x0, False)
new_lt18(:(x0, x1), [], x2)
new_lt21(x0, x1, ty_Double)
new_lt11(x0, x1, ty_Bool)
new_esEs12(x0, x1, ty_Float)
new_max([], :(x0, x1), app(ty_[], x2))
new_esEs10(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Zero, Zero)
new_sr0(Integer(x0), Integer(x1))
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Bool)
new_max(Integer(Pos(Zero)), Integer(Pos(Succ(x0))), ty_Integer)
new_asAs(False, x0)
new_lt21(x0, x1, app(ty_[], x2))
new_esEs25([], [], x0)
new_lt22(x0, x1, app(ty_Maybe, x2))
new_max19(x0, x1, x2, x3, False, x4)
new_compare1(x0, x1, False, x2, x3)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_max122(x0, False)
new_compare16(x0, x1, True)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt11(x0, x1, ty_Float)
new_ltEs15(Just(x0), Just(x1), ty_@0)
new_esEs10(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_max127(x0, x1, False)
new_ltEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs15(x0, x1, ty_Integer)
new_compare24(x0, x1, True, x2, x3)
new_max1(True)
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_max120(False)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, ty_Char)
new_esEs12(x0, x1, app(app(ty_@2, x2), x3))
new_lt23(x0, x1, ty_Ordering)
new_lt22(x0, x1, app(ty_[], x2))
new_compare4(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs4(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs4(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs16(EQ, LT)
new_esEs16(LT, EQ)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_lt7(EQ, GT)
new_lt7(GT, EQ)
new_lt14(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs6(Just(x0), Just(x1), ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_primPlusNat0(Succ(x0), x1)
new_ltEs18(x0, x1, ty_Int)
new_esEs8(x0, x1, ty_Bool)
new_esEs12(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Bool)
new_esEs33(x0, x1, ty_Integer)
new_esEs10(x0, x1, ty_Int)
new_esEs14(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs12(x0, x1, ty_Char)
new_ltEs22(x0, x1, ty_Float)
new_max10(x0, x1, True)
new_ltEs4(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_max19(x0, x1, x2, x3, True, x4)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_max(Just(x0), Nothing, app(ty_Maybe, x1))
new_max(Nothing, Nothing, app(ty_Maybe, x0))
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_lt15(Neg(Succ(x0)), Neg(x1))
new_lt21(x0, x1, ty_Char)
new_ltEs15(Nothing, Nothing, x0)
new_max138(x0, x1, False, x2)
new_esEs12(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Char)
new_esEs7(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt23(x0, x1, ty_Int)
new_ltEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_max124(True)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_max124(False)
new_max113(x0, x1, x2, x3, True)
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_max16(x0, x1, False)
new_primCompAux00(x0, GT)
new_esEs17(True, True)
new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Int)
new_esEs13(x0, x1, app(app(ty_@2, x2), x3))
new_esEs15(x0, x1, ty_Bool)
new_max112(x0, True)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs8(x0, x1, ty_@0)
new_lt6(Just(x0), Just(x1), x2)
new_esEs25(:(x0, x1), :(x2, x3), x4)
new_esEs33(x0, x1, ty_Int)
new_max115(x0, x1, x2, x3, True, x4, x5)
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs13(x0, x1)
new_ltEs4(Left(x0), Left(x1), ty_Integer, x2)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_max136(x0, False)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt22(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Bool)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs15(x0, x1, ty_Double)

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: