YES 5.474 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
  ((compare :: Ord a => [a]  ->  [a]  ->  Ordering) :: Ord a => [a]  ->  [a]  ->  Ordering)

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
  ((compare :: Ord a => [a]  ->  [a]  ->  Ordering) :: Ord a => [a]  ->  [a]  ->  Ordering)

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
  ((compare :: Ord a => [a]  ->  [a]  ->  Ordering) :: Ord a => [a]  ->  [a]  ->  Ordering)

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
  ((compare :: Ord a => [a]  ->  [a]  ->  Ordering) :: Ord a => [a]  ->  [a]  ->  Ordering)

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

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

gcd'0 x y = gcd' y (x `rem` y)

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

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

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

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

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

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

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

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

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

is transformed to
absReal x = absReal2 x

absReal0 x True = `negate` x

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

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False

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

is transformed to
reduce x y = reduce2 x y

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



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

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

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

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

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



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

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

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
  (compare :: Ord a => [a]  ->  [a]  ->  Ordering)

module Main where
  import qualified Prelude


Haskell To QDPs


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

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

new_primEqNat(Succ(vwx30000), Succ(vwx40000)) → new_primEqNat(vwx30000, vwx40000)

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

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



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

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

new_primPlusNat(Succ(vwx14400), Succ(vwx401000)) → new_primPlusNat(vwx14400, vwx401000)

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

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



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

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

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

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

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



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

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

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

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

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



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

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

new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), app(app(ty_@2, cc), cd), ce) → new_esEs(vwx3000, vwx4000, cc, cd)
new_esEs3(:(vwx3000, vwx3001), :(vwx4000, vwx4001), app(app(ty_Either, bdf), bdg)) → new_esEs1(vwx3000, vwx4000, bdf, bdg)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, he, app(app(ty_Either, baa), bab)) → new_esEs1(vwx3002, vwx4002, baa, bab)
new_esEs0(Just(vwx3000), Just(vwx4000), app(app(app(ty_@3, ec), ed), ee)) → new_esEs2(vwx3000, vwx4000, ec, ed, ee)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), app(app(app(ty_@3, bcf), bcg), bch), he, bba) → new_esEs2(vwx3000, vwx4000, bcf, bcg, bch)
new_esEs1(Right(vwx3000), Right(vwx4000), gb, app(ty_Maybe, ge)) → new_esEs0(vwx3000, vwx4000, ge)
new_esEs1(Left(vwx3000), Left(vwx4000), app(ty_[], ga), fa) → new_esEs3(vwx3000, vwx4000, ga)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, app(ty_[], bbh), bba) → new_esEs3(vwx3001, vwx4001, bbh)
new_esEs3(:(vwx3000, vwx3001), :(vwx4000, vwx4001), app(ty_Maybe, bde)) → new_esEs0(vwx3000, vwx4000, bde)
new_esEs3(:(vwx3000, vwx3001), :(vwx4000, vwx4001), app(ty_[], bec)) → new_esEs3(vwx3000, vwx4000, bec)
new_esEs3(:(vwx3000, vwx3001), :(vwx4000, vwx4001), app(app(ty_@2, bdc), bdd)) → new_esEs(vwx3000, vwx4000, bdc, bdd)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, app(ty_Maybe, bbb), bba) → new_esEs0(vwx3001, vwx4001, bbb)
new_esEs0(Just(vwx3000), Just(vwx4000), app(ty_Maybe, dh)) → new_esEs0(vwx3000, vwx4000, dh)
new_esEs1(Left(vwx3000), Left(vwx4000), app(app(ty_Either, fc), fd), fa) → new_esEs1(vwx3000, vwx4000, fc, fd)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), ba, app(ty_Maybe, bd)) → new_esEs0(vwx3001, vwx4001, bd)
new_esEs1(Right(vwx3000), Right(vwx4000), gb, app(app(ty_Either, gf), gg)) → new_esEs1(vwx3000, vwx4000, gf, gg)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, he, app(ty_Maybe, hh)) → new_esEs0(vwx3002, vwx4002, hh)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), app(ty_Maybe, bcc), he, bba) → new_esEs0(vwx3000, vwx4000, bcc)
new_esEs3(:(vwx3000, vwx3001), :(vwx4000, vwx4001), bdb) → new_esEs3(vwx3001, vwx4001, bdb)
new_esEs1(Left(vwx3000), Left(vwx4000), app(ty_Maybe, fb), fa) → new_esEs0(vwx3000, vwx4000, fb)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), ba, app(app(app(ty_@3, bg), bh), ca)) → new_esEs2(vwx3001, vwx4001, bg, bh, ca)
new_esEs0(Just(vwx3000), Just(vwx4000), app(app(ty_@2, df), dg)) → new_esEs(vwx3000, vwx4000, df, dg)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, app(app(ty_Either, bbc), bbd), bba) → new_esEs1(vwx3001, vwx4001, bbc, bbd)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), app(ty_Maybe, cf), ce) → new_esEs0(vwx3000, vwx4000, cf)
new_esEs1(Left(vwx3000), Left(vwx4000), app(app(app(ty_@3, ff), fg), fh), fa) → new_esEs2(vwx3000, vwx4000, ff, fg, fh)
new_esEs1(Right(vwx3000), Right(vwx4000), gb, app(app(app(ty_@3, gh), ha), hb)) → new_esEs2(vwx3000, vwx4000, gh, ha, hb)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), ba, app(ty_[], cb)) → new_esEs3(vwx3001, vwx4001, cb)
new_esEs1(Right(vwx3000), Right(vwx4000), gb, app(app(ty_@2, gc), gd)) → new_esEs(vwx3000, vwx4000, gc, gd)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, he, app(ty_[], baf)) → new_esEs3(vwx3002, vwx4002, baf)
new_esEs0(Just(vwx3000), Just(vwx4000), app(app(ty_Either, ea), eb)) → new_esEs1(vwx3000, vwx4000, ea, eb)
new_esEs3(:(vwx3000, vwx3001), :(vwx4000, vwx4001), app(app(app(ty_@3, bdh), bea), beb)) → new_esEs2(vwx3000, vwx4000, bdh, bea, beb)
new_esEs0(Just(vwx3000), Just(vwx4000), app(ty_[], ef)) → new_esEs3(vwx3000, vwx4000, ef)
new_esEs1(Right(vwx3000), Right(vwx4000), gb, app(ty_[], hc)) → new_esEs3(vwx3000, vwx4000, hc)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), ba, app(app(ty_Either, be), bf)) → new_esEs1(vwx3001, vwx4001, be, bf)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, app(app(app(ty_@3, bbe), bbf), bbg), bba) → new_esEs2(vwx3001, vwx4001, bbe, bbf, bbg)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), app(ty_[], bda), he, bba) → new_esEs3(vwx3000, vwx4000, bda)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), ba, app(app(ty_@2, bb), bc)) → new_esEs(vwx3001, vwx4001, bb, bc)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), app(app(app(ty_@3, db), dc), dd), ce) → new_esEs2(vwx3000, vwx4000, db, dc, dd)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), app(app(ty_Either, bcd), bce), he, bba) → new_esEs1(vwx3000, vwx4000, bcd, bce)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, app(app(ty_@2, bag), bah), bba) → new_esEs(vwx3001, vwx4001, bag, bah)
new_esEs1(Left(vwx3000), Left(vwx4000), app(app(ty_@2, eg), eh), fa) → new_esEs(vwx3000, vwx4000, eg, eh)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), app(app(ty_@2, bca), bcb), he, bba) → new_esEs(vwx3000, vwx4000, bca, bcb)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, he, app(app(ty_@2, hf), hg)) → new_esEs(vwx3002, vwx4002, hf, hg)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), app(app(ty_Either, cg), da), ce) → new_esEs1(vwx3000, vwx4000, cg, da)
new_esEs(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), app(ty_[], de), ce) → new_esEs3(vwx3000, vwx4000, de)
new_esEs2(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), hd, he, app(app(app(ty_@3, bac), bad), bae)) → new_esEs2(vwx3002, vwx4002, bac, bad, bae)

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

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



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

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

new_compare20(Left(vwx260), Left(vwx270), False, app(app(ty_Either, app(ty_[], bae)), hg), fb) → new_ltEs2(vwx260, vwx270, bae)
new_compare1(Right(vwx300), Right(vwx400), bc, bd) → new_compare21(vwx300, vwx400, new_esEs7(vwx300, vwx400, bd), bc, bd)
new_ltEs0(Right(vwx260), Right(vwx270), bag, app(ty_Maybe, bbh)) → new_ltEs3(vwx260, vwx270, bbh)
new_compare20(Right(vwx260), Right(vwx270), False, app(app(ty_Either, bag), app(app(ty_Either, bbb), bbc)), fb) → new_ltEs0(vwx260, vwx270, bbb, bbc)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, app(app(app(ty_@3, bea), beb), bec), bdf) → new_lt1(vwx261, vwx271, bea, beb, bec)
new_primCompAux(@2(vwx300, vwx301), @2(vwx400, vwx401), vwx5, app(app(ty_@2, ba), bb)) → new_compare2(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs5(vwx300, vwx400, ba), new_esEs4(vwx301, vwx401, bb)), ba, bb)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, app(ty_[], dc), cd) → new_compare(vwx64, vwx66, dc)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), app(app(app(ty_@3, bea), beb), bec)), bdf), fb) → new_lt1(vwx261, vwx271, bea, beb, bec)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), app(ty_[], hc), ge) → new_lt2(vwx260, vwx270, hc)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, app(app(ty_Either, beh), bfa)), bcb), bdf), fb) → new_lt0(vwx260, vwx270, beh, bfa)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), app(ty_[], bfe), bcb, bdf) → new_lt2(vwx260, vwx270, bfe)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, app(ty_[], bfe)), bcb), bdf), fb) → new_lt2(vwx260, vwx270, bfe)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, app(app(ty_@2, cbg), cbh), bhe) → new_lt(vwx45, vwx48, cbg, cbh)
new_compare20(Just(vwx260), Just(vwx270), False, app(ty_Maybe, app(app(ty_Either, bgb), bgc)), fb) → new_ltEs0(vwx260, vwx270, bgb, bgc)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), app(app(ty_@2, bef), beg), bcb, bdf) → new_lt(vwx260, vwx270, bef, beg)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), bcb), app(app(app(ty_@3, bcg), bch), bda)), fb) → new_ltEs1(vwx262, vwx272, bcg, bch, bda)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, app(app(app(ty_@3, gh), ha), hb)), ge), fb) → new_lt1(vwx260, vwx270, gh, ha, hb)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, app(app(ty_Either, gf), gg)), ge), fb) → new_lt0(vwx260, vwx270, gf, gg)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, bhd, app(app(ty_@2, caf), cag)) → new_ltEs(vwx46, vwx49, caf, cag)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), eg, app(ty_Maybe, gb)) → new_ltEs3(vwx261, vwx271, gb)
new_primCompAux(vwx30, vwx40, vwx5, app(ty_[], bh)) → new_compare(vwx30, vwx40, bh)
new_compare20(Right(vwx260), Right(vwx270), False, app(app(ty_Either, bag), app(ty_Maybe, bbh)), fb) → new_ltEs3(vwx260, vwx270, bbh)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, app(app(ty_Either, ce), cf), cd) → new_compare1(vwx64, vwx66, ce, cf)
new_compare21(vwx33, vwx34, False, cea, app(app(ty_@2, ceb), cec)) → new_ltEs(vwx33, vwx34, ceb, cec)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), app(app(ty_@2, bdd), bde)), bdf), fb) → new_lt(vwx261, vwx271, bdd, bde)
new_ltEs2(vwx26, vwx27, bfg) → new_compare(vwx26, vwx27, bfg)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, app(ty_Maybe, ccg), bhe) → new_lt3(vwx45, vwx48, ccg)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, bcb, app(app(ty_@2, bcc), bcd)) → new_ltEs(vwx262, vwx272, bcc, bcd)
new_compare21(vwx33, vwx34, False, cea, app(app(ty_Either, ced), cee)) → new_ltEs0(vwx33, vwx34, ced, cee)
new_primCompAux(Right(vwx300), Right(vwx400), vwx5, app(app(ty_Either, bc), bd)) → new_compare21(vwx300, vwx400, new_esEs7(vwx300, vwx400, bd), bc, bd)
new_compare(:(vwx30, vwx31), :(vwx40, vwx41), bha) → new_primCompAux(vwx30, vwx40, new_compare5(vwx31, vwx41, bha), bha)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), app(ty_Maybe, bff), bcb, bdf) → new_lt3(vwx260, vwx270, bff)
new_compare0(@2(vwx300, vwx301), @2(vwx400, vwx401), ba, bb) → new_compare2(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs5(vwx300, vwx400, ba), new_esEs4(vwx301, vwx401, bb)), ba, bb)
new_ltEs0(Left(vwx260), Left(vwx270), app(ty_[], bae), hg) → new_ltEs2(vwx260, vwx270, bae)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, de, app(ty_Maybe, ef)) → new_ltEs3(vwx65, vwx67, ef)
new_ltEs0(Right(vwx260), Right(vwx270), bag, app(app(ty_Either, bbb), bbc)) → new_ltEs0(vwx260, vwx270, bbb, bbc)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, app(app(ty_@2, gc), gd)), ge), fb) → new_lt(vwx260, vwx270, gc, gd)
new_compare20(Right(vwx260), Right(vwx270), False, app(app(ty_Either, bag), app(app(ty_@2, bah), bba)), fb) → new_ltEs(vwx260, vwx270, bah, bba)
new_compare21(vwx33, vwx34, False, cea, app(app(app(ty_@3, cef), ceg), ceh)) → new_ltEs1(vwx33, vwx34, cef, ceg, ceh)
new_compare20(Just(vwx260), Just(vwx270), False, app(ty_Maybe, app(app(ty_@2, bfh), bga)), fb) → new_ltEs(vwx260, vwx270, bfh, bga)
new_compare23(vwx55, vwx56, False, app(app(ty_Either, cdb), cdc)) → new_ltEs0(vwx55, vwx56, cdb, cdc)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), app(app(ty_Either, gf), gg), ge) → new_lt0(vwx260, vwx270, gf, gg)
new_lt1(vwx64, vwx66, cg, da, db) → new_compare3(vwx64, vwx66, cg, da, db)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), app(ty_Maybe, hd), ge) → new_lt3(vwx260, vwx270, hd)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), eg, app(app(ty_@2, eh), fa)) → new_ltEs(vwx261, vwx271, eh, fa)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, bcb, app(app(app(ty_@3, bcg), bch), bda)) → new_ltEs1(vwx262, vwx272, bcg, bch, bda)
new_compare23(vwx55, vwx56, False, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs1(vwx55, vwx56, cdd, cde, cdf)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), eg, app(ty_[], ga)) → new_ltEs2(vwx261, vwx271, ga)
new_lt2(vwx64, vwx66, dc) → new_compare(vwx64, vwx66, dc)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, app(ty_Maybe, bff)), bcb), bdf), fb) → new_lt3(vwx260, vwx270, bff)
new_compare23(vwx55, vwx56, False, app(app(ty_@2, cch), cda)) → new_ltEs(vwx55, vwx56, cch, cda)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, de, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs1(vwx65, vwx67, eb, ec, ed)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, eg), app(ty_[], ga)), fb) → new_ltEs2(vwx261, vwx271, ga)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), app(app(app(ty_@3, gh), ha), hb), ge) → new_lt1(vwx260, vwx270, gh, ha, hb)
new_ltEs3(Just(vwx260), Just(vwx270), app(app(app(ty_@3, bgd), bge), bgf)) → new_ltEs1(vwx260, vwx270, bgd, bge, bgf)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), bcb), app(app(ty_@2, bcc), bcd)), fb) → new_ltEs(vwx262, vwx272, bcc, bcd)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), eg, app(app(ty_Either, fc), fd)) → new_ltEs0(vwx261, vwx271, fc, fd)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, eg), app(ty_Maybe, gb)), fb) → new_ltEs3(vwx261, vwx271, gb)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, app(app(ty_@2, bhb), bhc), bhd, bhe) → new_lt(vwx44, vwx47, bhb, bhc)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, app(app(app(ty_@3, ccc), ccd), cce), bhe) → new_lt1(vwx45, vwx48, ccc, ccd, cce)
new_ltEs3(Just(vwx260), Just(vwx270), app(ty_Maybe, bgh)) → new_ltEs3(vwx260, vwx270, bgh)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, de, app(ty_[], ee)) → new_ltEs2(vwx65, vwx67, ee)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, bhd, app(app(app(ty_@3, cbb), cbc), cbd)) → new_ltEs1(vwx46, vwx49, cbb, cbc, cbd)
new_compare20(vwx26, vwx27, False, app(ty_[], bfg), fb) → new_compare(vwx26, vwx27, bfg)
new_ltEs0(Right(vwx260), Right(vwx270), bag, app(app(app(ty_@3, bbd), bbe), bbf)) → new_ltEs1(vwx260, vwx270, bbd, bbe, bbf)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, app(app(ty_Either, bdg), bdh), bdf) → new_lt0(vwx261, vwx271, bdg, bdh)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, app(ty_[], ccf), bhe) → new_lt2(vwx45, vwx48, ccf)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, app(ty_Maybe, bee), bdf) → new_lt3(vwx261, vwx271, bee)
new_compare20(Just(vwx260), Just(vwx270), False, app(ty_Maybe, app(app(app(ty_@3, bgd), bge), bgf)), fb) → new_ltEs1(vwx260, vwx270, bgd, bge, bgf)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, app(ty_[], bed), bdf) → new_lt2(vwx261, vwx271, bed)
new_compare20(Just(vwx260), Just(vwx270), False, app(ty_Maybe, app(ty_Maybe, bgh)), fb) → new_ltEs3(vwx260, vwx270, bgh)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), app(ty_Maybe, bee)), bdf), fb) → new_lt3(vwx261, vwx271, bee)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, bhd, app(ty_[], cbe)) → new_ltEs2(vwx46, vwx49, cbe)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, bcb, app(ty_Maybe, bdc)) → new_ltEs3(vwx262, vwx272, bdc)
new_compare23(vwx55, vwx56, False, app(ty_[], cdg)) → new_ltEs2(vwx55, vwx56, cdg)
new_ltEs0(Left(vwx260), Left(vwx270), app(ty_Maybe, baf), hg) → new_ltEs3(vwx260, vwx270, baf)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), bcb), app(app(ty_Either, bce), bcf)), fb) → new_ltEs0(vwx262, vwx272, bce, bcf)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, de, app(app(ty_@2, df), dg)) → new_ltEs(vwx65, vwx67, df, dg)
new_compare4(Just(vwx300), Just(vwx400), ca) → new_compare23(vwx300, vwx400, new_esEs11(vwx300, vwx400, ca), ca)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, app(app(ty_@2, bdd), bde), bdf) → new_lt(vwx261, vwx271, bdd, bde)
new_primCompAux(Just(vwx300), Just(vwx400), vwx5, app(ty_Maybe, ca)) → new_compare23(vwx300, vwx400, new_esEs11(vwx300, vwx400, ca), ca)
new_compare20(Left(vwx260), Left(vwx270), False, app(app(ty_Either, app(ty_Maybe, baf)), hg), fb) → new_ltEs3(vwx260, vwx270, baf)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, app(ty_[], cac), bhd, bhe) → new_lt2(vwx44, vwx47, cac)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, app(ty_Maybe, hd)), ge), fb) → new_lt3(vwx260, vwx270, hd)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), app(ty_[], bed)), bdf), fb) → new_lt2(vwx261, vwx271, bed)
new_ltEs0(Left(vwx260), Left(vwx270), app(app(ty_Either, hh), baa), hg) → new_ltEs0(vwx260, vwx270, hh, baa)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), app(app(ty_Either, beh), bfa), bcb, bdf) → new_lt0(vwx260, vwx270, beh, bfa)
new_ltEs3(Just(vwx260), Just(vwx270), app(app(ty_Either, bgb), bgc)) → new_ltEs0(vwx260, vwx270, bgb, bgc)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), app(app(ty_@2, gc), gd), ge) → new_lt(vwx260, vwx270, gc, gd)
new_ltEs3(Just(vwx260), Just(vwx270), app(ty_[], bgg)) → new_ltEs2(vwx260, vwx270, bgg)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), app(app(ty_Either, bdg), bdh)), bdf), fb) → new_lt0(vwx261, vwx271, bdg, bdh)
new_ltEs0(Right(vwx260), Right(vwx270), bag, app(app(ty_@2, bah), bba)) → new_ltEs(vwx260, vwx270, bah, bba)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, app(app(ty_@2, cb), cc), cd) → new_compare0(vwx64, vwx66, cb, cc)
new_compare21(vwx33, vwx34, False, cea, app(ty_Maybe, cfb)) → new_ltEs3(vwx33, vwx34, cfb)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, app(app(app(ty_@3, bhh), caa), cab), bhd, bhe) → new_lt1(vwx44, vwx47, bhh, caa, cab)
new_compare20(Right(vwx260), Right(vwx270), False, app(app(ty_Either, bag), app(ty_[], bbg)), fb) → new_ltEs2(vwx260, vwx270, bbg)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, app(ty_Maybe, dd), cd) → new_compare4(vwx64, vwx66, dd)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, app(ty_[], hc)), ge), fb) → new_lt2(vwx260, vwx270, hc)
new_ltEs(@2(vwx260, vwx261), @2(vwx270, vwx271), eg, app(app(app(ty_@3, ff), fg), fh)) → new_ltEs1(vwx261, vwx271, ff, fg, fh)
new_ltEs0(Left(vwx260), Left(vwx270), app(app(ty_@2, he), hf), hg) → new_ltEs(vwx260, vwx270, he, hf)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, bhd, app(app(ty_Either, cah), cba)) → new_ltEs0(vwx46, vwx49, cah, cba)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, eg), app(app(ty_@2, eh), fa)), fb) → new_ltEs(vwx261, vwx271, eh, fa)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, app(app(ty_@2, bef), beg)), bcb), bdf), fb) → new_lt(vwx260, vwx270, bef, beg)
new_compare23(vwx55, vwx56, False, app(ty_Maybe, cdh)) → new_ltEs3(vwx55, vwx56, cdh)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, bcb, app(app(ty_Either, bce), bcf)) → new_ltEs0(vwx262, vwx272, bce, bcf)
new_lt(vwx64, vwx66, cb, cc) → new_compare0(vwx64, vwx66, cb, cc)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, app(app(ty_Either, bhf), bhg), bhd, bhe) → new_lt0(vwx44, vwx47, bhf, bhg)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), bcb), app(ty_[], bdb)), fb) → new_ltEs2(vwx262, vwx272, bdb)
new_lt3(vwx64, vwx66, dd) → new_compare4(vwx64, vwx66, dd)
new_compare3(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), be, bf, bg) → new_compare22(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs10(vwx300, vwx400, be), new_asAs(new_esEs9(vwx301, vwx401, bf), new_esEs8(vwx302, vwx402, bg))), be, bf, bg)
new_compare21(vwx33, vwx34, False, cea, app(ty_[], cfa)) → new_ltEs2(vwx33, vwx34, cfa)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, bcb, app(ty_[], bdb)) → new_ltEs2(vwx262, vwx272, bdb)
new_compare20(Left(vwx260), Left(vwx270), False, app(app(ty_Either, app(app(ty_@2, he), hf)), hg), fb) → new_ltEs(vwx260, vwx270, he, hf)
new_compare(:(vwx30, vwx31), :(vwx40, vwx41), bha) → new_compare(vwx31, vwx41, bha)
new_compare20(Right(vwx260), Right(vwx270), False, app(app(ty_Either, bag), app(app(app(ty_@3, bbd), bbe), bbf)), fb) → new_ltEs1(vwx260, vwx270, bbd, bbe, bbf)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, eg), app(app(app(ty_@3, ff), fg), fh)), fb) → new_ltEs1(vwx261, vwx271, ff, fg, fh)
new_lt0(vwx64, vwx66, ce, cf) → new_compare1(vwx64, vwx66, ce, cf)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, de, app(app(ty_Either, dh), ea)) → new_ltEs0(vwx65, vwx67, dh, ea)
new_compare20(@2(vwx260, vwx261), @2(vwx270, vwx271), False, app(app(ty_@2, eg), app(app(ty_Either, fc), fd)), fb) → new_ltEs0(vwx261, vwx271, fc, fd)
new_primCompAux(Left(vwx300), Left(vwx400), vwx5, app(app(ty_Either, bc), bd)) → new_compare20(vwx300, vwx400, new_esEs6(vwx300, vwx400, bc), bc, bd)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, app(app(app(ty_@3, bfb), bfc), bfd)), bcb), bdf), fb) → new_lt1(vwx260, vwx270, bfb, bfc, bfd)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, bhd, app(ty_Maybe, cbf)) → new_ltEs3(vwx46, vwx49, cbf)
new_ltEs0(Right(vwx260), Right(vwx270), bag, app(ty_[], bbg)) → new_ltEs2(vwx260, vwx270, bbg)
new_ltEs3(Just(vwx260), Just(vwx270), app(app(ty_@2, bfh), bga)) → new_ltEs(vwx260, vwx270, bfh, bga)
new_ltEs0(Left(vwx260), Left(vwx270), app(app(app(ty_@3, bab), bac), bad), hg) → new_ltEs1(vwx260, vwx270, bab, bac, bad)
new_compare20(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), False, app(app(app(ty_@3, bca), bcb), app(ty_Maybe, bdc)), fb) → new_ltEs3(vwx262, vwx272, bdc)
new_compare20(Left(vwx260), Left(vwx270), False, app(app(ty_Either, app(app(ty_Either, hh), baa)), hg), fb) → new_ltEs0(vwx260, vwx270, hh, baa)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, app(app(ty_Either, cca), ccb), bhe) → new_lt0(vwx45, vwx48, cca, ccb)
new_compare2(vwx64, vwx65, vwx66, vwx67, False, app(app(app(ty_@3, cg), da), db), cd) → new_compare3(vwx64, vwx66, cg, da, db)
new_compare20(Left(vwx260), Left(vwx270), False, app(app(ty_Either, app(app(app(ty_@3, bab), bac), bad)), hg), fb) → new_ltEs1(vwx260, vwx270, bab, bac, bad)
new_compare20(Just(vwx260), Just(vwx270), False, app(ty_Maybe, app(ty_[], bgg)), fb) → new_ltEs2(vwx260, vwx270, bgg)
new_compare1(Left(vwx300), Left(vwx400), bc, bd) → new_compare20(vwx300, vwx400, new_esEs6(vwx300, vwx400, bc), bc, bd)
new_primCompAux(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), vwx5, app(app(app(ty_@3, be), bf), bg)) → new_compare22(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs10(vwx300, vwx400, be), new_asAs(new_esEs9(vwx301, vwx401, bf), new_esEs8(vwx302, vwx402, bg))), be, bf, bg)
new_ltEs1(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), app(app(app(ty_@3, bfb), bfc), bfd), bcb, bdf) → new_lt1(vwx260, vwx270, bfb, bfc, bfd)
new_compare22(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, app(ty_Maybe, cad), bhd, bhe) → new_lt3(vwx44, vwx47, cad)

The TRS R consists of the following rules:

new_esEs29(vwx3002, vwx4002, ty_Integer) → new_esEs17(vwx3002, vwx4002)
new_esEs28(vwx260, vwx270, ty_Integer) → new_esEs17(vwx260, vwx270)
new_ltEs19(vwx65, vwx67, app(app(ty_@2, df), dg)) → new_ltEs5(vwx65, vwx67, df, dg)
new_esEs5(vwx300, vwx400, ty_Char) → new_esEs22(vwx300, vwx400)
new_ltEs20(vwx262, vwx272, ty_Int) → new_ltEs9(vwx262, vwx272)
new_esEs11(vwx300, vwx400, ty_Int) → new_esEs15(vwx300, vwx400)
new_esEs9(vwx301, vwx401, app(ty_[], daa)) → new_esEs24(vwx301, vwx401, daa)
new_esEs32(vwx3001, vwx4001, ty_Char) → new_esEs22(vwx3001, vwx4001)
new_ltEs21(vwx26, vwx27, ty_@0) → new_ltEs11(vwx26, vwx27)
new_lt7(vwx64, vwx66, ty_Double) → new_lt17(vwx64, vwx66)
new_esEs26(vwx64, vwx66, ty_Bool) → new_esEs18(vwx64, vwx66)
new_ltEs18(EQ, GT) → True
new_esEs8(vwx302, vwx402, ty_Char) → new_esEs22(vwx302, vwx402)
new_esEs10(vwx300, vwx400, ty_Ordering) → new_esEs14(vwx300, vwx400)
new_ltEs4(vwx33, vwx34, ty_Float) → new_ltEs12(vwx33, vwx34)
new_compare26(vwx64, vwx65, vwx66, vwx67, False, de, cd) → new_compare110(vwx64, vwx65, vwx66, vwx67, new_lt7(vwx64, vwx66, de), new_asAs(new_esEs26(vwx64, vwx66, de), new_ltEs19(vwx65, vwx67, cd)), de, cd)
new_ltEs22(vwx261, vwx271, ty_Int) → new_ltEs9(vwx261, vwx271)
new_esEs9(vwx301, vwx401, app(app(ty_@2, cgh), cha)) → new_esEs13(vwx301, vwx401, cgh, cha)
new_esEs27(vwx261, vwx271, ty_Char) → new_esEs22(vwx261, vwx271)
new_lt22(vwx44, vwx47, ty_Int) → new_lt4(vwx44, vwx47)
new_ltEs20(vwx262, vwx272, app(ty_[], bdb)) → new_ltEs10(vwx262, vwx272, bdb)
new_ltEs6(Right(vwx260), Right(vwx270), bag, app(app(ty_@2, bah), bba)) → new_ltEs5(vwx260, vwx270, bah, bba)
new_lt7(vwx64, vwx66, ty_Int) → new_lt4(vwx64, vwx66)
new_esEs6(vwx300, vwx400, ty_Char) → new_esEs22(vwx300, vwx400)
new_esEs36(vwx44, vwx47, ty_Bool) → new_esEs18(vwx44, vwx47)
new_esEs6(vwx300, vwx400, ty_Int) → new_esEs15(vwx300, vwx400)
new_esEs35(vwx45, vwx48, app(ty_Ratio, feb)) → new_esEs19(vwx45, vwx48, feb)
new_esEs7(vwx300, vwx400, ty_Integer) → new_esEs17(vwx300, vwx400)
new_compare10(vwx94, vwx95, True, efh, ega) → LT
new_esEs6(vwx300, vwx400, app(app(app(ty_@3, efd), efe), eff)) → new_esEs20(vwx300, vwx400, efd, efe, eff)
new_esEs7(vwx300, vwx400, ty_Int) → new_esEs15(vwx300, vwx400)
new_ltEs22(vwx261, vwx271, ty_Bool) → new_ltEs13(vwx261, vwx271)
new_esEs34(vwx260, vwx270, ty_Bool) → new_esEs18(vwx260, vwx270)
new_ltEs23(vwx46, vwx49, app(ty_[], cbe)) → new_ltEs10(vwx46, vwx49, cbe)
new_esEs6(vwx300, vwx400, ty_Integer) → new_esEs17(vwx300, vwx400)
new_esEs8(vwx302, vwx402, app(ty_Ratio, fda)) → new_esEs19(vwx302, vwx402, fda)
new_esEs16(Left(vwx3000), Left(vwx4000), app(ty_Ratio, dbf), dbb) → new_esEs19(vwx3000, vwx4000, dbf)
new_ltEs6(Left(vwx260), Left(vwx270), ty_@0, hg) → new_ltEs11(vwx260, vwx270)
new_esEs31(vwx3000, vwx4000, ty_Double) → new_esEs23(vwx3000, vwx4000)
new_esEs34(vwx260, vwx270, app(app(app(ty_@3, gh), ha), hb)) → new_esEs20(vwx260, vwx270, gh, ha, hb)
new_esEs6(vwx300, vwx400, ty_Bool) → new_esEs18(vwx300, vwx400)
new_esEs28(vwx260, vwx270, ty_Float) → new_esEs21(vwx260, vwx270)
new_esEs26(vwx64, vwx66, app(ty_Maybe, dd)) → new_esEs12(vwx64, vwx66, dd)
new_ltEs20(vwx262, vwx272, app(ty_Ratio, dae)) → new_ltEs15(vwx262, vwx272, dae)
new_lt19(vwx261, vwx271, ty_Int) → new_lt4(vwx261, vwx271)
new_compare11(vwx30, vwx40, ty_@0) → new_compare15(vwx30, vwx40)
new_primMulNat0(Zero, Zero) → Zero
new_esEs36(vwx44, vwx47, app(app(ty_Either, bhf), bhg)) → new_esEs16(vwx44, vwx47, bhf, bhg)
new_esEs27(vwx261, vwx271, app(ty_Ratio, daf)) → new_esEs19(vwx261, vwx271, daf)
new_lt22(vwx44, vwx47, ty_Ordering) → new_lt18(vwx44, vwx47)
new_ltEs9(vwx26, vwx27) → new_fsEs(new_compare6(vwx26, vwx27))
new_compare13(Left(vwx300), Right(vwx400), bc, bd) → LT
new_ltEs20(vwx262, vwx272, ty_Float) → new_ltEs12(vwx262, vwx272)
new_compare11(vwx30, vwx40, ty_Float) → new_compare16(vwx30, vwx40)
new_esEs36(vwx44, vwx47, ty_Int) → new_esEs15(vwx44, vwx47)
new_ltEs20(vwx262, vwx272, ty_@0) → new_ltEs11(vwx262, vwx272)
new_lt22(vwx44, vwx47, app(ty_Maybe, cad)) → new_lt14(vwx44, vwx47, cad)
new_esEs29(vwx3002, vwx4002, ty_Char) → new_esEs22(vwx3002, vwx4002)
new_ltEs24(vwx55, vwx56, ty_Char) → new_ltEs16(vwx55, vwx56)
new_esEs7(vwx300, vwx400, app(app(ty_Either, dfd), dfe)) → new_esEs16(vwx300, vwx400, dfd, dfe)
new_compare9(Double(vwx300, vwx301), Double(vwx400, vwx401)) → new_compare6(new_sr(vwx300, vwx400), new_sr(vwx301, vwx401))
new_lt23(vwx45, vwx48, ty_Bool) → new_lt13(vwx45, vwx48)
new_lt20(vwx260, vwx270, app(app(ty_@2, bef), beg)) → new_lt8(vwx260, vwx270, bef, beg)
new_ltEs6(Right(vwx260), Right(vwx270), bag, ty_Ordering) → new_ltEs18(vwx260, vwx270)
new_esEs28(vwx260, vwx270, ty_@0) → new_esEs25(vwx260, vwx270)
new_lt20(vwx260, vwx270, app(ty_[], bfe)) → new_lt6(vwx260, vwx270, bfe)
new_esEs28(vwx260, vwx270, ty_Int) → new_esEs15(vwx260, vwx270)
new_esEs35(vwx45, vwx48, ty_Float) → new_esEs21(vwx45, vwx48)
new_compare115(vwx129, vwx130, vwx131, vwx132, vwx133, vwx134, True, fec, fed, fee) → LT
new_esEs7(vwx300, vwx400, app(app(app(ty_@3, dfg), dfh), dga)) → new_esEs20(vwx300, vwx400, dfg, dfh, dga)
new_esEs31(vwx3000, vwx4000, app(app(ty_Either, edg), edh)) → new_esEs16(vwx3000, vwx4000, edg, edh)
new_lt21(vwx260, vwx270, ty_Char) → new_lt16(vwx260, vwx270)
new_ltEs6(Left(vwx260), Left(vwx270), app(app(ty_Either, hh), baa), hg) → new_ltEs6(vwx260, vwx270, hh, baa)
new_esEs31(vwx3000, vwx4000, ty_@0) → new_esEs25(vwx3000, vwx4000)
new_ltEs22(vwx261, vwx271, app(app(ty_Either, fc), fd)) → new_ltEs6(vwx261, vwx271, fc, fd)
new_lt22(vwx44, vwx47, app(app(app(ty_@3, bhh), caa), cab)) → new_lt5(vwx44, vwx47, bhh, caa, cab)
new_ltEs24(vwx55, vwx56, ty_Int) → new_ltEs9(vwx55, vwx56)
new_esEs11(vwx300, vwx400, ty_Double) → new_esEs23(vwx300, vwx400)
new_compare24(vwx33, vwx34, False, cea, cfc) → new_compare10(vwx33, vwx34, new_ltEs4(vwx33, vwx34, cfc), cea, cfc)
new_esEs30(vwx3001, vwx4001, app(app(ty_Either, ece), ecf)) → new_esEs16(vwx3001, vwx4001, ece, ecf)
new_esEs28(vwx260, vwx270, app(app(ty_@2, bef), beg)) → new_esEs13(vwx260, vwx270, bef, beg)
new_esEs8(vwx302, vwx402, app(app(ty_Either, fcg), fch)) → new_esEs16(vwx302, vwx402, fcg, fch)
new_esEs31(vwx3000, vwx4000, app(ty_Maybe, edf)) → new_esEs12(vwx3000, vwx4000, edf)
new_esEs11(vwx300, vwx400, app(app(ty_Either, dhd), dhe)) → new_esEs16(vwx300, vwx400, dhd, dhe)
new_esEs11(vwx300, vwx400, ty_Char) → new_esEs22(vwx300, vwx400)
new_esEs5(vwx300, vwx400, app(app(app(ty_@3, eae), eaf), eag)) → new_esEs20(vwx300, vwx400, eae, eaf, eag)
new_esEs4(vwx301, vwx401, ty_Float) → new_esEs21(vwx301, vwx401)
new_ltEs13(True, False) → False
new_esEs29(vwx3002, vwx4002, app(ty_Ratio, ebe)) → new_esEs19(vwx3002, vwx4002, ebe)
new_compare13(Right(vwx300), Left(vwx400), bc, bd) → GT
new_compare114(vwx129, vwx130, vwx131, vwx132, vwx133, vwx134, False, vwx136, fec, fed, fee) → new_compare115(vwx129, vwx130, vwx131, vwx132, vwx133, vwx134, vwx136, fec, fed, fee)
new_ltEs4(vwx33, vwx34, app(ty_Ratio, cfd)) → new_ltEs15(vwx33, vwx34, cfd)
new_compare11(vwx30, vwx40, ty_Ordering) → new_compare25(vwx30, vwx40)
new_lt13(vwx64, vwx66) → new_esEs14(new_compare7(vwx64, vwx66), LT)
new_esEs12(Just(vwx3000), Just(vwx4000), ty_Int) → new_esEs15(vwx3000, vwx4000)
new_lt20(vwx260, vwx270, ty_Float) → new_lt12(vwx260, vwx270)
new_esEs38(vwx3000, vwx4000, ty_Integer) → new_esEs17(vwx3000, vwx4000)
new_lt15(vwx64, vwx66, dac) → new_esEs14(new_compare18(vwx64, vwx66, dac), LT)
new_ltEs14(Just(vwx260), Just(vwx270), app(app(ty_@2, bfh), bga)) → new_ltEs5(vwx260, vwx270, bfh, bga)
new_esEs10(vwx300, vwx400, ty_Double) → new_esEs23(vwx300, vwx400)
new_esEs11(vwx300, vwx400, ty_Bool) → new_esEs18(vwx300, vwx400)
new_esEs33(vwx3000, vwx4000, ty_Float) → new_esEs21(vwx3000, vwx4000)
new_esEs12(Just(vwx3000), Just(vwx4000), ty_Bool) → new_esEs18(vwx3000, vwx4000)
new_esEs32(vwx3001, vwx4001, ty_Integer) → new_esEs17(vwx3001, vwx4001)
new_esEs34(vwx260, vwx270, ty_Double) → new_esEs23(vwx260, vwx270)
new_esEs26(vwx64, vwx66, app(app(ty_@2, cb), cc)) → new_esEs13(vwx64, vwx66, cb, cc)
new_ltEs6(Left(vwx260), Left(vwx270), ty_Double, hg) → new_ltEs17(vwx260, vwx270)
new_ltEs6(Right(vwx260), Right(vwx270), bag, app(ty_Ratio, ffa)) → new_ltEs15(vwx260, vwx270, ffa)
new_esEs7(vwx300, vwx400, ty_Double) → new_esEs23(vwx300, vwx400)
new_ltEs14(Just(vwx260), Just(vwx270), ty_Double) → new_ltEs17(vwx260, vwx270)
new_lt7(vwx64, vwx66, ty_Integer) → new_lt10(vwx64, vwx66)
new_lt23(vwx45, vwx48, ty_Ordering) → new_lt18(vwx45, vwx48)
new_ltEs21(vwx26, vwx27, app(ty_[], bfg)) → new_ltEs10(vwx26, vwx27, bfg)
new_esEs17(Integer(vwx3000), Integer(vwx4000)) → new_primEqInt(vwx3000, vwx4000)
new_ltEs4(vwx33, vwx34, ty_Bool) → new_ltEs13(vwx33, vwx34)
new_esEs16(Left(vwx3000), Left(vwx4000), ty_Integer, dbb) → new_esEs17(vwx3000, vwx4000)
new_compare11(vwx30, vwx40, ty_Int) → new_compare6(vwx30, vwx40)
new_pePe(False, vwx143) → vwx143
new_lt23(vwx45, vwx48, app(ty_[], ccf)) → new_lt6(vwx45, vwx48, ccf)
new_esEs35(vwx45, vwx48, app(app(ty_@2, cbg), cbh)) → new_esEs13(vwx45, vwx48, cbg, cbh)
new_lt7(vwx64, vwx66, app(app(ty_@2, cb), cc)) → new_lt8(vwx64, vwx66, cb, cc)
new_esEs30(vwx3001, vwx4001, app(ty_Ratio, ecg)) → new_esEs19(vwx3001, vwx4001, ecg)
new_ltEs6(Left(vwx260), Left(vwx270), ty_Ordering, hg) → new_ltEs18(vwx260, vwx270)
new_esEs22(Char(vwx3000), Char(vwx4000)) → new_primEqNat0(vwx3000, vwx4000)
new_esEs38(vwx3000, vwx4000, ty_Int) → new_esEs15(vwx3000, vwx4000)
new_ltEs6(Right(vwx260), Right(vwx270), bag, app(ty_[], bbg)) → new_ltEs10(vwx260, vwx270, bbg)
new_lt21(vwx260, vwx270, ty_Bool) → new_lt13(vwx260, vwx270)
new_ltEs23(vwx46, vwx49, app(app(app(ty_@3, cbb), cbc), cbd)) → new_ltEs8(vwx46, vwx49, cbb, cbc, cbd)
new_ltEs6(Left(vwx260), Left(vwx270), app(ty_[], bae), hg) → new_ltEs10(vwx260, vwx270, bae)
new_esEs15(vwx300, vwx400) → new_primEqInt(vwx300, vwx400)
new_esEs19(:%(vwx3000, vwx3001), :%(vwx4000, vwx4001), fdf) → new_asAs(new_esEs38(vwx3000, vwx4000, fdf), new_esEs37(vwx3001, vwx4001, fdf))
new_esEs36(vwx44, vwx47, ty_Double) → new_esEs23(vwx44, vwx47)
new_lt21(vwx260, vwx270, app(app(ty_@2, gc), gd)) → new_lt8(vwx260, vwx270, gc, gd)
new_esEs4(vwx301, vwx401, app(ty_Ratio, fbe)) → new_esEs19(vwx301, vwx401, fbe)
new_ltEs14(Just(vwx260), Just(vwx270), app(ty_Maybe, bgh)) → new_ltEs14(vwx260, vwx270, bgh)
new_esEs9(vwx301, vwx401, ty_Bool) → new_esEs18(vwx301, vwx401)
new_lt21(vwx260, vwx270, app(app(app(ty_@3, gh), ha), hb)) → new_lt5(vwx260, vwx270, gh, ha, hb)
new_esEs16(Left(vwx3000), Left(vwx4000), app(app(ty_Either, dbd), dbe), dbb) → new_esEs16(vwx3000, vwx4000, dbd, dbe)
new_esEs11(vwx300, vwx400, app(ty_Maybe, dhc)) → new_esEs12(vwx300, vwx400, dhc)
new_esEs10(vwx300, vwx400, app(ty_Maybe, dea)) → new_esEs12(vwx300, vwx400, dea)
new_esEs14(EQ, EQ) → True
new_lt19(vwx261, vwx271, app(ty_Maybe, bee)) → new_lt14(vwx261, vwx271, bee)
new_esEs34(vwx260, vwx270, app(ty_Maybe, hd)) → new_esEs12(vwx260, vwx270, hd)
new_lt19(vwx261, vwx271, app(app(ty_Either, bdg), bdh)) → new_lt9(vwx261, vwx271, bdg, bdh)
new_lt21(vwx260, vwx270, ty_Ordering) → new_lt18(vwx260, vwx270)
new_esEs6(vwx300, vwx400, app(app(ty_Either, efa), efb)) → new_esEs16(vwx300, vwx400, efa, efb)
new_ltEs21(vwx26, vwx27, ty_Int) → new_ltEs9(vwx26, vwx27)
new_lt7(vwx64, vwx66, app(ty_Maybe, dd)) → new_lt14(vwx64, vwx66, dd)
new_ltEs4(vwx33, vwx34, app(app(ty_Either, ced), cee)) → new_ltEs6(vwx33, vwx34, ced, cee)
new_compare15(@0, @0) → EQ
new_lt6(vwx64, vwx66, dc) → new_esEs14(new_compare5(vwx64, vwx66, dc), LT)
new_esEs36(vwx44, vwx47, app(ty_Ratio, fdh)) → new_esEs19(vwx44, vwx47, fdh)
new_ltEs21(vwx26, vwx27, app(app(app(ty_@3, bca), bcb), bdf)) → new_ltEs8(vwx26, vwx27, bca, bcb, bdf)
new_ltEs14(Just(vwx260), Just(vwx270), app(ty_Ratio, dgf)) → new_ltEs15(vwx260, vwx270, dgf)
new_compare25(GT, EQ) → GT
new_ltEs14(Just(vwx260), Just(vwx270), ty_Float) → new_ltEs12(vwx260, vwx270)
new_esEs28(vwx260, vwx270, app(ty_[], bfe)) → new_esEs24(vwx260, vwx270, bfe)
new_esEs11(vwx300, vwx400, ty_Float) → new_esEs21(vwx300, vwx400)
new_ltEs19(vwx65, vwx67, ty_Double) → new_ltEs17(vwx65, vwx67)
new_lt23(vwx45, vwx48, ty_Float) → new_lt12(vwx45, vwx48)
new_compare7(False, False) → EQ
new_compare11(vwx30, vwx40, app(app(ty_Either, bc), bd)) → new_compare13(vwx30, vwx40, bc, bd)
new_esEs34(vwx260, vwx270, ty_Ordering) → new_esEs14(vwx260, vwx270)
new_esEs12(Just(vwx3000), Just(vwx4000), app(app(ty_@2, cff), cfg)) → new_esEs13(vwx3000, vwx4000, cff, cfg)
new_primCmpNat0(Zero, Succ(vwx4000)) → LT
new_compare113(vwx114, vwx115, vwx116, vwx117, True, eac, ead) → LT
new_ltEs19(vwx65, vwx67, app(ty_Ratio, dad)) → new_ltEs15(vwx65, vwx67, dad)
new_fsEs(vwx138) → new_not(new_esEs14(vwx138, GT))
new_esEs39(vwx3000, vwx4000, ty_Double) → new_esEs23(vwx3000, vwx4000)
new_ltEs14(Just(vwx260), Nothing, dgd) → False
new_esEs33(vwx3000, vwx4000, app(app(ty_Either, faa), fab)) → new_esEs16(vwx3000, vwx4000, faa, fab)
new_esEs8(vwx302, vwx402, app(app(app(ty_@3, fdb), fdc), fdd)) → new_esEs20(vwx302, vwx402, fdb, fdc, fdd)
new_esEs31(vwx3000, vwx4000, ty_Int) → new_esEs15(vwx3000, vwx4000)
new_ltEs12(vwx26, vwx27) → new_fsEs(new_compare16(vwx26, vwx27))
new_ltEs13(False, True) → True
new_lt22(vwx44, vwx47, ty_Float) → new_lt12(vwx44, vwx47)
new_compare11(vwx30, vwx40, app(app(ty_@2, ba), bb)) → new_compare12(vwx30, vwx40, ba, bb)
new_esEs10(vwx300, vwx400, ty_Integer) → new_esEs17(vwx300, vwx400)
new_ltEs22(vwx261, vwx271, ty_Integer) → new_ltEs7(vwx261, vwx271)
new_esEs8(vwx302, vwx402, ty_Float) → new_esEs21(vwx302, vwx402)
new_esEs30(vwx3001, vwx4001, app(ty_Maybe, ecd)) → new_esEs12(vwx3001, vwx4001, ecd)
new_esEs10(vwx300, vwx400, app(app(ty_@2, ddg), ddh)) → new_esEs13(vwx300, vwx400, ddg, ddh)
new_esEs26(vwx64, vwx66, app(ty_[], dc)) → new_esEs24(vwx64, vwx66, dc)
new_compare110(vwx114, vwx115, vwx116, vwx117, True, vwx119, eac, ead) → new_compare113(vwx114, vwx115, vwx116, vwx117, True, eac, ead)
new_esEs12(Just(vwx3000), Nothing, cfe) → False
new_esEs12(Nothing, Just(vwx4000), cfe) → False
new_ltEs4(vwx33, vwx34, app(app(app(ty_@3, cef), ceg), ceh)) → new_ltEs8(vwx33, vwx34, cef, ceg, ceh)
new_esEs20(@3(vwx3000, vwx3001, vwx3002), @3(vwx4000, vwx4001, vwx4002), eae, eaf, eag) → new_asAs(new_esEs31(vwx3000, vwx4000, eae), new_asAs(new_esEs30(vwx3001, vwx4001, eaf), new_esEs29(vwx3002, vwx4002, eag)))
new_esEs10(vwx300, vwx400, app(ty_Ratio, ded)) → new_esEs19(vwx300, vwx400, ded)
new_esEs34(vwx260, vwx270, ty_@0) → new_esEs25(vwx260, vwx270)
new_pePe(True, vwx143) → True
new_esEs27(vwx261, vwx271, app(ty_Maybe, bee)) → new_esEs12(vwx261, vwx271, bee)
new_primEqNat0(Zero, Zero) → True
new_ltEs14(Just(vwx260), Just(vwx270), ty_@0) → new_ltEs11(vwx260, vwx270)
new_ltEs19(vwx65, vwx67, app(ty_Maybe, ef)) → new_ltEs14(vwx65, vwx67, ef)
new_ltEs22(vwx261, vwx271, ty_Ordering) → new_ltEs18(vwx261, vwx271)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, ty_Ordering) → new_esEs14(vwx3000, vwx4000)
new_esEs33(vwx3000, vwx4000, ty_Int) → new_esEs15(vwx3000, vwx4000)
new_ltEs21(vwx26, vwx27, ty_Double) → new_ltEs17(vwx26, vwx27)
new_ltEs6(Right(vwx260), Right(vwx270), bag, ty_Char) → new_ltEs16(vwx260, vwx270)
new_esEs8(vwx302, vwx402, ty_Double) → new_esEs23(vwx302, vwx402)
new_esEs27(vwx261, vwx271, app(ty_[], bed)) → new_esEs24(vwx261, vwx271, bed)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, app(ty_[], dde)) → new_esEs24(vwx3000, vwx4000, dde)
new_esEs24(:(vwx3000, vwx3001), [], fdg) → False
new_esEs24([], :(vwx4000, vwx4001), fdg) → False
new_ltEs18(EQ, EQ) → True
new_esEs12(Nothing, Nothing, cfe) → True
new_esEs32(vwx3001, vwx4001, app(app(app(ty_@3, ehb), ehc), ehd)) → new_esEs20(vwx3001, vwx4001, ehb, ehc, ehd)
new_ltEs22(vwx261, vwx271, app(ty_[], ga)) → new_ltEs10(vwx261, vwx271, ga)
new_esEs9(vwx301, vwx401, ty_@0) → new_esEs25(vwx301, vwx401)
new_lt22(vwx44, vwx47, app(app(ty_@2, bhb), bhc)) → new_lt8(vwx44, vwx47, bhb, bhc)
new_esEs35(vwx45, vwx48, ty_Integer) → new_esEs17(vwx45, vwx48)
new_esEs6(vwx300, vwx400, ty_Float) → new_esEs21(vwx300, vwx400)
new_esEs36(vwx44, vwx47, app(ty_Maybe, cad)) → new_esEs12(vwx44, vwx47, cad)
new_ltEs21(vwx26, vwx27, app(ty_Maybe, dgd)) → new_ltEs14(vwx26, vwx27, dgd)
new_esEs8(vwx302, vwx402, app(ty_Maybe, fcf)) → new_esEs12(vwx302, vwx402, fcf)
new_ltEs24(vwx55, vwx56, ty_Bool) → new_ltEs13(vwx55, vwx56)
new_esEs36(vwx44, vwx47, ty_Char) → new_esEs22(vwx44, vwx47)
new_sr(vwx301, vwx401) → new_primMulInt(vwx301, vwx401)
new_esEs30(vwx3001, vwx4001, ty_@0) → new_esEs25(vwx3001, vwx4001)
new_lt7(vwx64, vwx66, app(app(ty_Either, ce), cf)) → new_lt9(vwx64, vwx66, ce, cf)
new_ltEs5(@2(vwx260, vwx261), @2(vwx270, vwx271), eg, ge) → new_pePe(new_lt21(vwx260, vwx270, eg), new_asAs(new_esEs34(vwx260, vwx270, eg), new_ltEs22(vwx261, vwx271, ge)))
new_esEs12(Just(vwx3000), Just(vwx4000), app(app(app(ty_@3, cgd), cge), cgf)) → new_esEs20(vwx3000, vwx4000, cgd, cge, cgf)
new_esEs16(Left(vwx3000), Left(vwx4000), app(app(ty_@2, dah), dba), dbb) → new_esEs13(vwx3000, vwx4000, dah, dba)
new_esEs14(GT, LT) → False
new_esEs14(LT, GT) → False
new_compare18(:%(vwx300, vwx301), :%(vwx400, vwx401), ty_Integer) → new_compare14(new_sr0(vwx300, vwx401), new_sr0(vwx400, vwx301))
new_ltEs18(LT, LT) → True
new_esEs16(Left(vwx3000), Left(vwx4000), app(ty_[], dcb), dbb) → new_esEs24(vwx3000, vwx4000, dcb)
new_esEs34(vwx260, vwx270, ty_Integer) → new_esEs17(vwx260, vwx270)
new_esEs30(vwx3001, vwx4001, ty_Char) → new_esEs22(vwx3001, vwx4001)
new_primPlusNat0(Succ(vwx1440), vwx40100) → Succ(Succ(new_primPlusNat1(vwx1440, vwx40100)))
new_esEs29(vwx3002, vwx4002, ty_Float) → new_esEs21(vwx3002, vwx4002)
new_primCompAux0(vwx30, vwx40, vwx5, bha) → new_primCompAux00(vwx5, new_compare11(vwx30, vwx40, bha))
new_ltEs20(vwx262, vwx272, app(app(ty_Either, bce), bcf)) → new_ltEs6(vwx262, vwx272, bce, bcf)
new_ltEs6(Left(vwx260), Left(vwx270), ty_Float, hg) → new_ltEs12(vwx260, vwx270)
new_lt7(vwx64, vwx66, app(app(app(ty_@3, cg), da), db)) → new_lt5(vwx64, vwx66, cg, da, db)
new_lt20(vwx260, vwx270, ty_Double) → new_lt17(vwx260, vwx270)
new_lt22(vwx44, vwx47, ty_@0) → new_lt11(vwx44, vwx47)
new_esEs10(vwx300, vwx400, app(app(app(ty_@3, dee), def), deg)) → new_esEs20(vwx300, vwx400, dee, def, deg)
new_esEs26(vwx64, vwx66, ty_@0) → new_esEs25(vwx64, vwx66)
new_esEs5(vwx300, vwx400, app(ty_[], fdg)) → new_esEs24(vwx300, vwx400, fdg)
new_esEs5(vwx300, vwx400, ty_Int) → new_esEs15(vwx300, vwx400)
new_ltEs4(vwx33, vwx34, ty_@0) → new_ltEs11(vwx33, vwx34)
new_esEs29(vwx3002, vwx4002, app(app(app(ty_@3, ebf), ebg), ebh)) → new_esEs20(vwx3002, vwx4002, ebf, ebg, ebh)
new_esEs29(vwx3002, vwx4002, app(app(ty_@2, eah), eba)) → new_esEs13(vwx3002, vwx4002, eah, eba)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, ty_Double) → new_esEs23(vwx3000, vwx4000)
new_lt7(vwx64, vwx66, ty_@0) → new_lt11(vwx64, vwx66)
new_ltEs18(GT, GT) → True
new_lt22(vwx44, vwx47, ty_Double) → new_lt17(vwx44, vwx47)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, app(ty_Maybe, dcf)) → new_esEs12(vwx3000, vwx4000, dcf)
new_compare12(@2(vwx300, vwx301), @2(vwx400, vwx401), ba, bb) → new_compare26(vwx300, vwx301, vwx400, vwx401, new_asAs(new_esEs5(vwx300, vwx400, ba), new_esEs4(vwx301, vwx401, bb)), ba, bb)
new_esEs27(vwx261, vwx271, ty_Float) → new_esEs21(vwx261, vwx271)
new_esEs6(vwx300, vwx400, ty_Double) → new_esEs23(vwx300, vwx400)
new_primEqInt(Neg(Succ(vwx30000)), Neg(Succ(vwx40000))) → new_primEqNat0(vwx30000, vwx40000)
new_esEs30(vwx3001, vwx4001, ty_Float) → new_esEs21(vwx3001, vwx4001)
new_ltEs23(vwx46, vwx49, app(ty_Maybe, cbf)) → new_ltEs14(vwx46, vwx49, cbf)
new_esEs16(Left(vwx3000), Left(vwx4000), ty_Ordering, dbb) → new_esEs14(vwx3000, vwx4000)
new_ltEs21(vwx26, vwx27, ty_Ordering) → new_ltEs18(vwx26, vwx27)
new_esEs9(vwx301, vwx401, ty_Ordering) → new_esEs14(vwx301, vwx401)
new_ltEs18(LT, GT) → True
new_primPlusNat1(Succ(vwx14400), Zero) → Succ(vwx14400)
new_primPlusNat1(Zero, Succ(vwx401000)) → Succ(vwx401000)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, app(ty_Ratio, dda)) → new_esEs19(vwx3000, vwx4000, dda)
new_esEs5(vwx300, vwx400, ty_Double) → new_esEs23(vwx300, vwx400)
new_lt19(vwx261, vwx271, ty_Integer) → new_lt10(vwx261, vwx271)
new_ltEs6(Left(vwx260), Left(vwx270), ty_Char, hg) → new_ltEs16(vwx260, vwx270)
new_ltEs4(vwx33, vwx34, ty_Int) → new_ltEs9(vwx33, vwx34)
new_esEs32(vwx3001, vwx4001, app(ty_Ratio, eha)) → new_esEs19(vwx3001, vwx4001, eha)
new_esEs25(@0, @0) → True
new_esEs31(vwx3000, vwx4000, app(ty_Ratio, eea)) → new_esEs19(vwx3000, vwx4000, eea)
new_ltEs23(vwx46, vwx49, app(app(ty_@2, caf), cag)) → new_ltEs5(vwx46, vwx49, caf, cag)
new_lt20(vwx260, vwx270, ty_Int) → new_lt4(vwx260, vwx270)
new_esEs16(Left(vwx3000), Left(vwx4000), ty_Float, dbb) → new_esEs21(vwx3000, vwx4000)
new_ltEs16(vwx26, vwx27) → new_fsEs(new_compare19(vwx26, vwx27))
new_esEs9(vwx301, vwx401, ty_Float) → new_esEs21(vwx301, vwx401)
new_ltEs18(GT, LT) → False
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs4(vwx301, vwx401, ty_@0) → new_esEs25(vwx301, vwx401)
new_esEs12(Just(vwx3000), Just(vwx4000), ty_Ordering) → new_esEs14(vwx3000, vwx4000)
new_esEs4(vwx301, vwx401, app(app(ty_Either, fbc), fbd)) → new_esEs16(vwx301, vwx401, fbc, fbd)
new_lt22(vwx44, vwx47, ty_Char) → new_lt16(vwx44, vwx47)
new_ltEs14(Just(vwx260), Just(vwx270), ty_Ordering) → new_ltEs18(vwx260, vwx270)
new_lt22(vwx44, vwx47, app(app(ty_Either, bhf), bhg)) → new_lt9(vwx44, vwx47, bhf, bhg)
new_esEs16(Left(vwx3000), Left(vwx4000), app(app(app(ty_@3, dbg), dbh), dca), dbb) → new_esEs20(vwx3000, vwx4000, dbg, dbh, dca)
new_esEs12(Just(vwx3000), Just(vwx4000), ty_Char) → new_esEs22(vwx3000, vwx4000)
new_compare25(LT, GT) → LT
new_esEs33(vwx3000, vwx4000, app(app(app(ty_@3, fad), fae), faf)) → new_esEs20(vwx3000, vwx4000, fad, fae, faf)
new_esEs9(vwx301, vwx401, app(ty_Ratio, che)) → new_esEs19(vwx301, vwx401, che)
new_compare112(vwx87, vwx88, False, dgg, dgh) → GT
new_primEqInt(Neg(Succ(vwx30000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(vwx40000))) → False
new_esEs29(vwx3002, vwx4002, ty_@0) → new_esEs25(vwx3002, vwx4002)
new_esEs33(vwx3000, vwx4000, ty_Integer) → new_esEs17(vwx3000, vwx4000)
new_compare111(vwx104, vwx105, True, ddf) → LT
new_lt7(vwx64, vwx66, ty_Float) → new_lt12(vwx64, vwx66)
new_esEs32(vwx3001, vwx4001, ty_Ordering) → new_esEs14(vwx3001, vwx4001)
new_lt19(vwx261, vwx271, app(app(ty_@2, bdd), bde)) → new_lt8(vwx261, vwx271, bdd, bde)
new_lt21(vwx260, vwx270, ty_@0) → new_lt11(vwx260, vwx270)
new_ltEs21(vwx26, vwx27, ty_Bool) → new_ltEs13(vwx26, vwx27)
new_lt20(vwx260, vwx270, ty_Char) → new_lt16(vwx260, vwx270)
new_compare24(vwx33, vwx34, True, cea, cfc) → EQ
new_esEs27(vwx261, vwx271, app(app(app(ty_@3, bea), beb), bec)) → new_esEs20(vwx261, vwx271, bea, beb, bec)
new_ltEs21(vwx26, vwx27, app(app(ty_@2, eg), ge)) → new_ltEs5(vwx26, vwx27, eg, ge)
new_esEs39(vwx3000, vwx4000, app(ty_Maybe, ffd)) → new_esEs12(vwx3000, vwx4000, ffd)
new_esEs5(vwx300, vwx400, app(ty_Maybe, cfe)) → new_esEs12(vwx300, vwx400, cfe)
new_esEs5(vwx300, vwx400, ty_Integer) → new_esEs17(vwx300, vwx400)
new_ltEs24(vwx55, vwx56, ty_@0) → new_ltEs11(vwx55, vwx56)
new_esEs39(vwx3000, vwx4000, ty_Ordering) → new_esEs14(vwx3000, vwx4000)
new_esEs31(vwx3000, vwx4000, app(ty_[], eee)) → new_esEs24(vwx3000, vwx4000, eee)
new_esEs34(vwx260, vwx270, app(ty_[], hc)) → new_esEs24(vwx260, vwx270, hc)
new_esEs7(vwx300, vwx400, app(app(ty_@2, dfa), dfb)) → new_esEs13(vwx300, vwx400, dfa, dfb)
new_esEs4(vwx301, vwx401, ty_Int) → new_esEs15(vwx301, vwx401)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs19(vwx65, vwx67, ty_Bool) → new_ltEs13(vwx65, vwx67)
new_ltEs23(vwx46, vwx49, app(ty_Ratio, fea)) → new_ltEs15(vwx46, vwx49, fea)
new_ltEs20(vwx262, vwx272, app(app(ty_@2, bcc), bcd)) → new_ltEs5(vwx262, vwx272, bcc, bcd)
new_compare6(vwx30, vwx40) → new_primCmpInt(vwx30, vwx40)
new_esEs6(vwx300, vwx400, ty_@0) → new_esEs25(vwx300, vwx400)
new_lt10(vwx64, vwx66) → new_esEs14(new_compare14(vwx64, vwx66), LT)
new_esEs7(vwx300, vwx400, ty_Ordering) → new_esEs14(vwx300, vwx400)
new_ltEs19(vwx65, vwx67, ty_@0) → new_ltEs11(vwx65, vwx67)
new_primCmpNat0(Succ(vwx3000), Succ(vwx4000)) → new_primCmpNat0(vwx3000, vwx4000)
new_compare5(:(vwx30, vwx31), [], bha) → GT
new_esEs30(vwx3001, vwx4001, app(app(ty_@2, ecb), ecc)) → new_esEs13(vwx3001, vwx4001, ecb, ecc)
new_esEs26(vwx64, vwx66, ty_Integer) → new_esEs17(vwx64, vwx66)
new_esEs29(vwx3002, vwx4002, ty_Ordering) → new_esEs14(vwx3002, vwx4002)
new_esEs9(vwx301, vwx401, app(app(ty_Either, chc), chd)) → new_esEs16(vwx301, vwx401, chc, chd)
new_esEs34(vwx260, vwx270, app(ty_Ratio, fcc)) → new_esEs19(vwx260, vwx270, fcc)
new_compare29(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, False, cae, bhd, bhe) → new_compare114(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, new_lt22(vwx44, vwx47, cae), new_asAs(new_esEs36(vwx44, vwx47, cae), new_pePe(new_lt23(vwx45, vwx48, bhd), new_asAs(new_esEs35(vwx45, vwx48, bhd), new_ltEs23(vwx46, vwx49, bhe)))), cae, bhd, bhe)
new_esEs37(vwx3001, vwx4001, ty_Int) → new_esEs15(vwx3001, vwx4001)
new_esEs39(vwx3000, vwx4000, ty_Bool) → new_esEs18(vwx3000, vwx4000)
new_primEqInt(Pos(Succ(vwx30000)), Pos(Succ(vwx40000))) → new_primEqNat0(vwx30000, vwx40000)
new_compare10(vwx94, vwx95, False, efh, ega) → GT
new_compare27(vwx26, vwx27, True, dgc, fb) → EQ
new_ltEs22(vwx261, vwx271, ty_Double) → new_ltEs17(vwx261, vwx271)
new_compare110(vwx114, vwx115, vwx116, vwx117, False, vwx119, eac, ead) → new_compare113(vwx114, vwx115, vwx116, vwx117, vwx119, eac, ead)
new_lt22(vwx44, vwx47, app(ty_[], cac)) → new_lt6(vwx44, vwx47, cac)
new_esEs35(vwx45, vwx48, ty_Double) → new_esEs23(vwx45, vwx48)
new_esEs29(vwx3002, vwx4002, app(ty_Maybe, ebb)) → new_esEs12(vwx3002, vwx4002, ebb)
new_lt21(vwx260, vwx270, ty_Integer) → new_lt10(vwx260, vwx270)
new_esEs33(vwx3000, vwx4000, app(app(ty_@2, ehf), ehg)) → new_esEs13(vwx3000, vwx4000, ehf, ehg)
new_compare11(vwx30, vwx40, ty_Bool) → new_compare7(vwx30, vwx40)
new_esEs10(vwx300, vwx400, app(ty_[], deh)) → new_esEs24(vwx300, vwx400, deh)
new_esEs11(vwx300, vwx400, app(ty_[], eab)) → new_esEs24(vwx300, vwx400, eab)
new_primEqNat0(Succ(vwx30000), Succ(vwx40000)) → new_primEqNat0(vwx30000, vwx40000)
new_ltEs14(Just(vwx260), Just(vwx270), ty_Int) → new_ltEs9(vwx260, vwx270)
new_esEs39(vwx3000, vwx4000, app(app(ty_@2, ffb), ffc)) → new_esEs13(vwx3000, vwx4000, ffb, ffc)
new_esEs27(vwx261, vwx271, ty_Integer) → new_esEs17(vwx261, vwx271)
new_esEs8(vwx302, vwx402, ty_@0) → new_esEs25(vwx302, vwx402)
new_esEs35(vwx45, vwx48, app(ty_Maybe, ccg)) → new_esEs12(vwx45, vwx48, ccg)
new_compare14(Integer(vwx300), Integer(vwx400)) → new_primCmpInt(vwx300, vwx400)
new_esEs6(vwx300, vwx400, app(ty_[], efg)) → new_esEs24(vwx300, vwx400, efg)
new_esEs7(vwx300, vwx400, ty_Float) → new_esEs21(vwx300, vwx400)
new_lt7(vwx64, vwx66, app(ty_Ratio, dac)) → new_lt15(vwx64, vwx66, dac)
new_compare5(:(vwx30, vwx31), :(vwx40, vwx41), bha) → new_primCompAux0(vwx30, vwx40, new_compare5(vwx31, vwx41, bha), bha)
new_ltEs24(vwx55, vwx56, app(app(app(ty_@3, cdd), cde), cdf)) → new_ltEs8(vwx55, vwx56, cdd, cde, cdf)
new_ltEs6(Right(vwx260), Right(vwx270), bag, ty_Double) → new_ltEs17(vwx260, vwx270)
new_esEs16(Left(vwx3000), Left(vwx4000), ty_Char, dbb) → new_esEs22(vwx3000, vwx4000)
new_ltEs20(vwx262, vwx272, ty_Char) → new_ltEs16(vwx262, vwx272)
new_esEs8(vwx302, vwx402, ty_Bool) → new_esEs18(vwx302, vwx402)
new_ltEs21(vwx26, vwx27, app(app(ty_Either, bag), hg)) → new_ltEs6(vwx26, vwx27, bag, hg)
new_primCompAux00(vwx9, LT) → LT
new_primCmpInt(Neg(Succ(vwx3000)), Neg(vwx400)) → new_primCmpNat0(vwx400, Succ(vwx3000))
new_esEs35(vwx45, vwx48, ty_Bool) → new_esEs18(vwx45, vwx48)
new_esEs27(vwx261, vwx271, ty_Double) → new_esEs23(vwx261, vwx271)
new_lt21(vwx260, vwx270, app(app(ty_Either, gf), gg)) → new_lt9(vwx260, vwx270, gf, gg)
new_ltEs6(Left(vwx260), Right(vwx270), bag, hg) → True
new_esEs12(Just(vwx3000), Just(vwx4000), ty_Double) → new_esEs23(vwx3000, vwx4000)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, ty_@0) → new_esEs25(vwx3000, vwx4000)
new_esEs31(vwx3000, vwx4000, ty_Bool) → new_esEs18(vwx3000, vwx4000)
new_ltEs6(Right(vwx260), Left(vwx270), bag, hg) → False
new_compare19(Char(vwx300), Char(vwx400)) → new_primCmpNat0(vwx300, vwx400)
new_compare11(vwx30, vwx40, app(ty_Ratio, dab)) → new_compare18(vwx30, vwx40, dab)
new_primEqInt(Pos(Succ(vwx30000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(vwx40000))) → False
new_esEs5(vwx300, vwx400, app(app(ty_@2, egb), egc)) → new_esEs13(vwx300, vwx400, egb, egc)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(vwx3000), Zero) → GT
new_compare11(vwx30, vwx40, ty_Char) → new_compare19(vwx30, vwx40)
new_ltEs6(Left(vwx260), Left(vwx270), app(app(ty_@2, he), hf), hg) → new_ltEs5(vwx260, vwx270, he, hf)
new_primCmpInt(Neg(Zero), Pos(Succ(vwx4000))) → LT
new_ltEs4(vwx33, vwx34, ty_Double) → new_ltEs17(vwx33, vwx34)
new_esEs5(vwx300, vwx400, ty_Ordering) → new_esEs14(vwx300, vwx400)
new_compare25(EQ, LT) → GT
new_esEs10(vwx300, vwx400, ty_Int) → new_esEs15(vwx300, vwx400)
new_lt23(vwx45, vwx48, ty_Integer) → new_lt10(vwx45, vwx48)
new_ltEs6(Right(vwx260), Right(vwx270), bag, app(app(app(ty_@3, bbd), bbe), bbf)) → new_ltEs8(vwx260, vwx270, bbd, bbe, bbf)
new_esEs30(vwx3001, vwx4001, ty_Bool) → new_esEs18(vwx3001, vwx4001)
new_compare18(:%(vwx300, vwx301), :%(vwx400, vwx401), ty_Int) → new_compare6(new_sr(vwx300, vwx401), new_sr(vwx400, vwx301))
new_esEs28(vwx260, vwx270, app(ty_Ratio, dag)) → new_esEs19(vwx260, vwx270, dag)
new_esEs33(vwx3000, vwx4000, ty_Ordering) → new_esEs14(vwx3000, vwx4000)
new_compare28(vwx55, vwx56, False, fef) → new_compare111(vwx55, vwx56, new_ltEs24(vwx55, vwx56, fef), fef)
new_sr0(Integer(vwx4000), Integer(vwx3010)) → Integer(new_primMulInt(vwx4000, vwx3010))
new_primPlusNat1(Succ(vwx14400), Succ(vwx401000)) → Succ(Succ(new_primPlusNat1(vwx14400, vwx401000)))
new_esEs32(vwx3001, vwx4001, app(ty_Maybe, egf)) → new_esEs12(vwx3001, vwx4001, egf)
new_esEs7(vwx300, vwx400, app(ty_Maybe, dfc)) → new_esEs12(vwx300, vwx400, dfc)
new_primEqInt(Pos(Succ(vwx30000)), Neg(vwx4000)) → False
new_primEqInt(Neg(Succ(vwx30000)), Pos(vwx4000)) → False
new_lt23(vwx45, vwx48, app(app(ty_@2, cbg), cbh)) → new_lt8(vwx45, vwx48, cbg, cbh)
new_lt22(vwx44, vwx47, ty_Bool) → new_lt13(vwx44, vwx47)
new_lt19(vwx261, vwx271, app(ty_Ratio, daf)) → new_lt15(vwx261, vwx271, daf)
new_esEs26(vwx64, vwx66, ty_Char) → new_esEs22(vwx64, vwx66)
new_esEs33(vwx3000, vwx4000, ty_Bool) → new_esEs18(vwx3000, vwx4000)
new_esEs39(vwx3000, vwx4000, ty_Char) → new_esEs22(vwx3000, vwx4000)
new_esEs27(vwx261, vwx271, app(app(ty_Either, bdg), bdh)) → new_esEs16(vwx261, vwx271, bdg, bdh)
new_ltEs22(vwx261, vwx271, ty_@0) → new_ltEs11(vwx261, vwx271)
new_esEs7(vwx300, vwx400, app(ty_Ratio, dff)) → new_esEs19(vwx300, vwx400, dff)
new_esEs12(Just(vwx3000), Just(vwx4000), app(ty_Ratio, cgc)) → new_esEs19(vwx3000, vwx4000, cgc)
new_lt19(vwx261, vwx271, app(app(app(ty_@3, bea), beb), bec)) → new_lt5(vwx261, vwx271, bea, beb, bec)
new_ltEs22(vwx261, vwx271, app(app(app(ty_@3, ff), fg), fh)) → new_ltEs8(vwx261, vwx271, ff, fg, fh)
new_esEs10(vwx300, vwx400, ty_@0) → new_esEs25(vwx300, vwx400)
new_esEs29(vwx3002, vwx4002, app(app(ty_Either, ebc), ebd)) → new_esEs16(vwx3002, vwx4002, ebc, ebd)
new_esEs31(vwx3000, vwx4000, ty_Integer) → new_esEs17(vwx3000, vwx4000)
new_primEqInt(Pos(Zero), Neg(Succ(vwx40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(vwx40000))) → False
new_esEs13(@2(vwx3000, vwx3001), @2(vwx4000, vwx4001), egb, egc) → new_asAs(new_esEs33(vwx3000, vwx4000, egb), new_esEs32(vwx3001, vwx4001, egc))
new_primCmpInt(Pos(Zero), Pos(Succ(vwx4000))) → new_primCmpNat0(Zero, Succ(vwx4000))
new_primCompAux00(vwx9, EQ) → vwx9
new_esEs30(vwx3001, vwx4001, app(ty_[], edc)) → new_esEs24(vwx3001, vwx4001, edc)
new_ltEs6(Left(vwx260), Left(vwx270), ty_Int, hg) → new_ltEs9(vwx260, vwx270)
new_lt21(vwx260, vwx270, app(ty_[], hc)) → new_lt6(vwx260, vwx270, hc)
new_lt20(vwx260, vwx270, ty_Bool) → new_lt13(vwx260, vwx270)
new_lt19(vwx261, vwx271, ty_@0) → new_lt11(vwx261, vwx271)
new_ltEs7(vwx26, vwx27) → new_fsEs(new_compare14(vwx26, vwx27))
new_esEs7(vwx300, vwx400, ty_@0) → new_esEs25(vwx300, vwx400)
new_esEs28(vwx260, vwx270, ty_Double) → new_esEs23(vwx260, vwx270)
new_ltEs6(Right(vwx260), Right(vwx270), bag, ty_Bool) → new_ltEs13(vwx260, vwx270)
new_compare7(True, False) → GT
new_lt8(vwx64, vwx66, cb, cc) → new_esEs14(new_compare12(vwx64, vwx66, cb, cc), LT)
new_compare11(vwx30, vwx40, app(app(app(ty_@3, be), bf), bg)) → new_compare8(vwx30, vwx40, be, bf, bg)
new_ltEs4(vwx33, vwx34, app(ty_Maybe, cfb)) → new_ltEs14(vwx33, vwx34, cfb)
new_esEs9(vwx301, vwx401, ty_Integer) → new_esEs17(vwx301, vwx401)
new_ltEs23(vwx46, vwx49, ty_@0) → new_ltEs11(vwx46, vwx49)
new_ltEs24(vwx55, vwx56, ty_Integer) → new_ltEs7(vwx55, vwx56)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, ty_Integer) → new_esEs17(vwx3000, vwx4000)
new_esEs8(vwx302, vwx402, ty_Int) → new_esEs15(vwx302, vwx402)
new_ltEs14(Nothing, Just(vwx270), dgd) → True
new_lt7(vwx64, vwx66, ty_Char) → new_lt16(vwx64, vwx66)
new_esEs6(vwx300, vwx400, app(app(ty_@2, eef), eeg)) → new_esEs13(vwx300, vwx400, eef, eeg)
new_esEs4(vwx301, vwx401, ty_Ordering) → new_esEs14(vwx301, vwx401)
new_ltEs18(GT, EQ) → False
new_esEs30(vwx3001, vwx4001, ty_Int) → new_esEs15(vwx3001, vwx4001)
new_lt7(vwx64, vwx66, ty_Ordering) → new_lt18(vwx64, vwx66)
new_esEs11(vwx300, vwx400, ty_Ordering) → new_esEs14(vwx300, vwx400)
new_not(False) → True
new_ltEs4(vwx33, vwx34, app(ty_[], cfa)) → new_ltEs10(vwx33, vwx34, cfa)
new_esEs30(vwx3001, vwx4001, app(app(app(ty_@3, ech), eda), edb)) → new_esEs20(vwx3001, vwx4001, ech, eda, edb)
new_esEs10(vwx300, vwx400, app(app(ty_Either, deb), dec)) → new_esEs16(vwx300, vwx400, deb, dec)
new_esEs10(vwx300, vwx400, ty_Float) → new_esEs21(vwx300, vwx400)
new_ltEs24(vwx55, vwx56, ty_Ordering) → new_ltEs18(vwx55, vwx56)
new_primPlusNat0(Zero, vwx40100) → Succ(vwx40100)
new_primCmpInt(Pos(Succ(vwx3000)), Pos(vwx400)) → new_primCmpNat0(Succ(vwx3000), vwx400)
new_ltEs19(vwx65, vwx67, app(ty_[], ee)) → new_ltEs10(vwx65, vwx67, ee)
new_esEs32(vwx3001, vwx4001, ty_Float) → new_esEs21(vwx3001, vwx4001)
new_lt9(vwx64, vwx66, ce, cf) → new_esEs14(new_compare13(vwx64, vwx66, ce, cf), LT)
new_ltEs24(vwx55, vwx56, ty_Float) → new_ltEs12(vwx55, vwx56)
new_ltEs14(Just(vwx260), Just(vwx270), app(app(ty_Either, bgb), bgc)) → new_ltEs6(vwx260, vwx270, bgb, bgc)
new_esEs36(vwx44, vwx47, ty_Integer) → new_esEs17(vwx44, vwx47)
new_esEs35(vwx45, vwx48, ty_Ordering) → new_esEs14(vwx45, vwx48)
new_esEs39(vwx3000, vwx4000, ty_Int) → new_esEs15(vwx3000, vwx4000)
new_esEs4(vwx301, vwx401, ty_Char) → new_esEs22(vwx301, vwx401)
new_ltEs18(EQ, LT) → False
new_lt19(vwx261, vwx271, app(ty_[], bed)) → new_lt6(vwx261, vwx271, bed)
new_ltEs18(LT, EQ) → True
new_ltEs6(Left(vwx260), Left(vwx270), ty_Bool, hg) → new_ltEs13(vwx260, vwx270)
new_esEs7(vwx300, vwx400, app(ty_[], dgb)) → new_esEs24(vwx300, vwx400, dgb)
new_ltEs14(Just(vwx260), Just(vwx270), app(app(app(ty_@3, bgd), bge), bgf)) → new_ltEs8(vwx260, vwx270, bgd, bge, bgf)
new_ltEs14(Just(vwx260), Just(vwx270), ty_Integer) → new_ltEs7(vwx260, vwx270)
new_esEs35(vwx45, vwx48, app(ty_[], ccf)) → new_esEs24(vwx45, vwx48, ccf)
new_lt20(vwx260, vwx270, ty_Ordering) → new_lt18(vwx260, vwx270)
new_esEs33(vwx3000, vwx4000, app(ty_[], fag)) → new_esEs24(vwx3000, vwx4000, fag)
new_compare25(GT, LT) → GT
new_esEs29(vwx3002, vwx4002, ty_Int) → new_esEs15(vwx3002, vwx4002)
new_lt12(vwx64, vwx66) → new_esEs14(new_compare16(vwx64, vwx66), LT)
new_ltEs20(vwx262, vwx272, app(app(app(ty_@3, bcg), bch), bda)) → new_ltEs8(vwx262, vwx272, bcg, bch, bda)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, app(app(ty_Either, dcg), dch)) → new_esEs16(vwx3000, vwx4000, dcg, dch)
new_lt23(vwx45, vwx48, ty_Int) → new_lt4(vwx45, vwx48)
new_primCmpInt(Pos(Succ(vwx3000)), Neg(vwx400)) → GT
new_ltEs19(vwx65, vwx67, ty_Int) → new_ltEs9(vwx65, vwx67)
new_lt23(vwx45, vwx48, ty_@0) → new_lt11(vwx45, vwx48)
new_ltEs23(vwx46, vwx49, ty_Ordering) → new_ltEs18(vwx46, vwx49)
new_compare17(Just(vwx300), Just(vwx400), ca) → new_compare28(vwx300, vwx400, new_esEs11(vwx300, vwx400, ca), ca)
new_esEs9(vwx301, vwx401, ty_Char) → new_esEs22(vwx301, vwx401)
new_lt20(vwx260, vwx270, ty_Integer) → new_lt10(vwx260, vwx270)
new_primMulInt(Pos(vwx3010), Pos(vwx4010)) → Pos(new_primMulNat0(vwx3010, vwx4010))
new_esEs4(vwx301, vwx401, app(app(ty_@2, fah), fba)) → new_esEs13(vwx301, vwx401, fah, fba)
new_esEs35(vwx45, vwx48, app(app(ty_Either, cca), ccb)) → new_esEs16(vwx45, vwx48, cca, ccb)
new_esEs5(vwx300, vwx400, ty_Float) → new_esEs21(vwx300, vwx400)
new_ltEs24(vwx55, vwx56, app(ty_Maybe, cdh)) → new_ltEs14(vwx55, vwx56, cdh)
new_esEs4(vwx301, vwx401, ty_Double) → new_esEs23(vwx301, vwx401)
new_esEs30(vwx3001, vwx4001, ty_Ordering) → new_esEs14(vwx3001, vwx4001)
new_ltEs20(vwx262, vwx272, ty_Ordering) → new_ltEs18(vwx262, vwx272)
new_primMulInt(Neg(vwx3010), Neg(vwx4010)) → Pos(new_primMulNat0(vwx3010, vwx4010))
new_esEs39(vwx3000, vwx4000, app(ty_[], fgc)) → new_esEs24(vwx3000, vwx4000, fgc)
new_esEs27(vwx261, vwx271, ty_Ordering) → new_esEs14(vwx261, vwx271)
new_esEs36(vwx44, vwx47, ty_Ordering) → new_esEs14(vwx44, vwx47)
new_compare13(Left(vwx300), Left(vwx400), bc, bd) → new_compare27(vwx300, vwx400, new_esEs6(vwx300, vwx400, bc), bc, bd)
new_compare11(vwx30, vwx40, app(ty_[], bh)) → new_compare5(vwx30, vwx40, bh)
new_compare25(EQ, GT) → LT
new_compare7(True, True) → EQ
new_primEqNat0(Succ(vwx30000), Zero) → False
new_primEqNat0(Zero, Succ(vwx40000)) → False
new_compare113(vwx114, vwx115, vwx116, vwx117, False, eac, ead) → GT
new_compare29(vwx44, vwx45, vwx46, vwx47, vwx48, vwx49, True, cae, bhd, bhe) → EQ
new_ltEs21(vwx26, vwx27, ty_Integer) → new_ltEs7(vwx26, vwx27)
new_lt20(vwx260, vwx270, app(ty_Ratio, dag)) → new_lt15(vwx260, vwx270, dag)
new_esEs7(vwx300, vwx400, ty_Char) → new_esEs22(vwx300, vwx400)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs36(vwx44, vwx47, ty_@0) → new_esEs25(vwx44, vwx47)
new_esEs11(vwx300, vwx400, app(app(app(ty_@3, dhg), dhh), eaa)) → new_esEs20(vwx300, vwx400, dhg, dhh, eaa)
new_lt19(vwx261, vwx271, ty_Double) → new_lt17(vwx261, vwx271)
new_ltEs11(vwx26, vwx27) → new_fsEs(new_compare15(vwx26, vwx27))
new_lt21(vwx260, vwx270, app(ty_Maybe, hd)) → new_lt14(vwx260, vwx270, hd)
new_esEs32(vwx3001, vwx4001, app(app(ty_Either, egg), egh)) → new_esEs16(vwx3001, vwx4001, egg, egh)
new_ltEs19(vwx65, vwx67, app(app(app(ty_@3, eb), ec), ed)) → new_ltEs8(vwx65, vwx67, eb, ec, ed)
new_lt23(vwx45, vwx48, ty_Double) → new_lt17(vwx45, vwx48)
new_esEs31(vwx3000, vwx4000, ty_Char) → new_esEs22(vwx3000, vwx4000)
new_ltEs14(Just(vwx260), Just(vwx270), ty_Char) → new_ltEs16(vwx260, vwx270)
new_esEs5(vwx300, vwx400, ty_Bool) → new_esEs18(vwx300, vwx400)
new_compare17(Nothing, Just(vwx400), ca) → LT
new_esEs32(vwx3001, vwx4001, ty_Bool) → new_esEs18(vwx3001, vwx4001)
new_esEs32(vwx3001, vwx4001, ty_@0) → new_esEs25(vwx3001, vwx4001)
new_esEs26(vwx64, vwx66, ty_Ordering) → new_esEs14(vwx64, vwx66)
new_ltEs6(Right(vwx260), Right(vwx270), bag, ty_@0) → new_ltEs11(vwx260, vwx270)
new_ltEs20(vwx262, vwx272, ty_Double) → new_ltEs17(vwx262, vwx272)
new_ltEs4(vwx33, vwx34, ty_Integer) → new_ltEs7(vwx33, vwx34)
new_lt17(vwx64, vwx66) → new_esEs14(new_compare9(vwx64, vwx66), LT)
new_ltEs23(vwx46, vwx49, ty_Double) → new_ltEs17(vwx46, vwx49)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, ty_Char) → new_esEs22(vwx3000, vwx4000)
new_ltEs23(vwx46, vwx49, ty_Integer) → new_ltEs7(vwx46, vwx49)
new_ltEs22(vwx261, vwx271, ty_Float) → new_ltEs12(vwx261, vwx271)
new_ltEs6(Left(vwx260), Left(vwx270), app(ty_Maybe, baf), hg) → new_ltEs14(vwx260, vwx270, baf)
new_esEs16(Right(vwx3000), Left(vwx4000), dcc, dbb) → False
new_esEs16(Left(vwx3000), Right(vwx4000), dcc, dbb) → False
new_esEs14(EQ, LT) → False
new_esEs14(LT, EQ) → False
new_primCmpInt(Neg(Zero), Neg(Succ(vwx4000))) → new_primCmpNat0(Succ(vwx4000), Zero)
new_ltEs22(vwx261, vwx271, ty_Char) → new_ltEs16(vwx261, vwx271)
new_primCmpInt(Pos(Zero), Neg(Succ(vwx4000))) → GT
new_esEs5(vwx300, vwx400, app(app(ty_Either, dcc), dbb)) → new_esEs16(vwx300, vwx400, dcc, dbb)
new_esEs32(vwx3001, vwx4001, ty_Int) → new_esEs15(vwx3001, vwx4001)
new_esEs39(vwx3000, vwx4000, app(app(app(ty_@3, ffh), fga), fgb)) → new_esEs20(vwx3000, vwx4000, ffh, fga, fgb)
new_ltEs24(vwx55, vwx56, app(ty_[], cdg)) → new_ltEs10(vwx55, vwx56, cdg)
new_ltEs20(vwx262, vwx272, app(ty_Maybe, bdc)) → new_ltEs14(vwx262, vwx272, bdc)
new_ltEs6(Left(vwx260), Left(vwx270), app(ty_Ratio, feh), hg) → new_ltEs15(vwx260, vwx270, feh)
new_esEs35(vwx45, vwx48, ty_Int) → new_esEs15(vwx45, vwx48)
new_ltEs22(vwx261, vwx271, app(ty_Ratio, fcb)) → new_ltEs15(vwx261, vwx271, fcb)
new_esEs16(Left(vwx3000), Left(vwx4000), ty_@0, dbb) → new_esEs25(vwx3000, vwx4000)
new_esEs10(vwx300, vwx400, ty_Char) → new_esEs22(vwx300, vwx400)
new_esEs12(Just(vwx3000), Just(vwx4000), ty_@0) → new_esEs25(vwx3000, vwx4000)
new_compare5([], :(vwx40, vwx41), bha) → LT
new_esEs9(vwx301, vwx401, ty_Double) → new_esEs23(vwx301, vwx401)
new_compare13(Right(vwx300), Right(vwx400), bc, bd) → new_compare24(vwx300, vwx400, new_esEs7(vwx300, vwx400, bd), bc, bd)
new_esEs16(Left(vwx3000), Left(vwx4000), ty_Int, dbb) → new_esEs15(vwx3000, vwx4000)
new_esEs27(vwx261, vwx271, app(app(ty_@2, bdd), bde)) → new_esEs13(vwx261, vwx271, bdd, bde)
new_lt19(vwx261, vwx271, ty_Char) → new_lt16(vwx261, vwx271)
new_esEs33(vwx3000, vwx4000, app(ty_Maybe, ehh)) → new_esEs12(vwx3000, vwx4000, ehh)
new_esEs33(vwx3000, vwx4000, app(ty_Ratio, fac)) → new_esEs19(vwx3000, vwx4000, fac)
new_esEs8(vwx302, vwx402, app(ty_[], fde)) → new_esEs24(vwx302, vwx402, fde)
new_esEs37(vwx3001, vwx4001, ty_Integer) → new_esEs17(vwx3001, vwx4001)
new_ltEs6(Right(vwx260), Right(vwx270), bag, app(app(ty_Either, bbb), bbc)) → new_ltEs6(vwx260, vwx270, bbb, bbc)
new_ltEs24(vwx55, vwx56, app(ty_Ratio, feg)) → new_ltEs15(vwx55, vwx56, feg)
new_esEs14(GT, EQ) → False
new_esEs14(EQ, GT) → False
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, ty_Int) → new_esEs15(vwx3000, vwx4000)
new_ltEs4(vwx33, vwx34, ty_Ordering) → new_ltEs18(vwx33, vwx34)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs36(vwx44, vwx47, app(app(ty_@2, bhb), bhc)) → new_esEs13(vwx44, vwx47, bhb, bhc)
new_esEs12(Just(vwx3000), Just(vwx4000), app(app(ty_Either, cga), cgb)) → new_esEs16(vwx3000, vwx4000, cga, cgb)
new_lt19(vwx261, vwx271, ty_Bool) → new_lt13(vwx261, vwx271)
new_esEs16(Left(vwx3000), Left(vwx4000), ty_Bool, dbb) → new_esEs18(vwx3000, vwx4000)
new_esEs26(vwx64, vwx66, app(app(app(ty_@3, cg), da), db)) → new_esEs20(vwx64, vwx66, cg, da, db)
new_lt7(vwx64, vwx66, ty_Bool) → new_lt13(vwx64, vwx66)
new_asAs(False, vwx82) → False
new_esEs7(vwx300, vwx400, ty_Bool) → new_esEs18(vwx300, vwx400)
new_lt23(vwx45, vwx48, app(app(ty_Either, cca), ccb)) → new_lt9(vwx45, vwx48, cca, ccb)
new_lt14(vwx64, vwx66, dd) → new_esEs14(new_compare17(vwx64, vwx66, dd), LT)
new_ltEs23(vwx46, vwx49, ty_Int) → new_ltEs9(vwx46, vwx49)
new_esEs24(:(vwx3000, vwx3001), :(vwx4000, vwx4001), fdg) → new_asAs(new_esEs39(vwx3000, vwx4000, fdg), new_esEs24(vwx3001, vwx4001, fdg))
new_primMulInt(Pos(vwx3010), Neg(vwx4010)) → Neg(new_primMulNat0(vwx3010, vwx4010))
new_primMulInt(Neg(vwx3010), Pos(vwx4010)) → Neg(new_primMulNat0(vwx3010, vwx4010))
new_esEs39(vwx3000, vwx4000, app(app(ty_Either, ffe), fff)) → new_esEs16(vwx3000, vwx4000, ffe, fff)
new_esEs5(vwx300, vwx400, ty_@0) → new_esEs25(vwx300, vwx400)
new_esEs6(vwx300, vwx400, app(ty_Maybe, eeh)) → new_esEs12(vwx300, vwx400, eeh)
new_esEs8(vwx302, vwx402, ty_Integer) → new_esEs17(vwx302, vwx402)
new_primMulNat0(Succ(vwx30100), Zero) → Zero
new_primMulNat0(Zero, Succ(vwx40100)) → Zero
new_esEs27(vwx261, vwx271, ty_@0) → new_esEs25(vwx261, vwx271)
new_lt19(vwx261, vwx271, ty_Float) → new_lt12(vwx261, vwx271)
new_lt19(vwx261, vwx271, ty_Ordering) → new_lt18(vwx261, vwx271)
new_ltEs20(vwx262, vwx272, ty_Integer) → new_ltEs7(vwx262, vwx272)
new_esEs23(Double(vwx3000, vwx3001), Double(vwx4000, vwx4001)) → new_esEs15(new_sr(vwx3000, vwx4000), new_sr(vwx3001, vwx4001))
new_esEs36(vwx44, vwx47, app(ty_[], cac)) → new_esEs24(vwx44, vwx47, cac)
new_esEs24([], [], fdg) → True
new_lt11(vwx64, vwx66) → new_esEs14(new_compare15(vwx64, vwx66), LT)
new_ltEs6(Right(vwx260), Right(vwx270), bag, ty_Float) → new_ltEs12(vwx260, vwx270)
new_ltEs19(vwx65, vwx67, ty_Char) → new_ltEs16(vwx65, vwx67)
new_esEs18(True, True) → True
new_esEs4(vwx301, vwx401, app(ty_Maybe, fbb)) → new_esEs12(vwx301, vwx401, fbb)
new_ltEs15(vwx26, vwx27, dge) → new_fsEs(new_compare18(vwx26, vwx27, dge))
new_ltEs23(vwx46, vwx49, ty_Char) → new_ltEs16(vwx46, vwx49)
new_compare25(EQ, EQ) → EQ
new_ltEs22(vwx261, vwx271, app(app(ty_@2, eh), fa)) → new_ltEs5(vwx261, vwx271, eh, fa)
new_ltEs21(vwx26, vwx27, app(ty_Ratio, dge)) → new_ltEs15(vwx26, vwx27, dge)
new_ltEs20(vwx262, vwx272, ty_Bool) → new_ltEs13(vwx262, vwx272)
new_esEs4(vwx301, vwx401, ty_Integer) → new_esEs17(vwx301, vwx401)
new_compare114(vwx129, vwx130, vwx131, vwx132, vwx133, vwx134, True, vwx136, fec, fed, fee) → new_compare115(vwx129, vwx130, vwx131, vwx132, vwx133, vwx134, True, fec, fed, fee)
new_esEs35(vwx45, vwx48, app(app(app(ty_@3, ccc), ccd), cce)) → new_esEs20(vwx45, vwx48, ccc, ccd, cce)
new_esEs16(Left(vwx3000), Left(vwx4000), ty_Double, dbb) → new_esEs23(vwx3000, vwx4000)
new_ltEs6(Left(vwx260), Left(vwx270), app(app(app(ty_@3, bab), bac), bad), hg) → new_ltEs8(vwx260, vwx270, bab, bac, bad)
new_esEs26(vwx64, vwx66, app(app(ty_Either, ce), cf)) → new_esEs16(vwx64, vwx66, ce, cf)
new_esEs28(vwx260, vwx270, ty_Bool) → new_esEs18(vwx260, vwx270)
new_lt20(vwx260, vwx270, app(ty_Maybe, bff)) → new_lt14(vwx260, vwx270, bff)
new_compare7(False, True) → LT
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, app(app(ty_@2, dcd), dce)) → new_esEs13(vwx3000, vwx4000, dcd, dce)
new_esEs6(vwx300, vwx400, app(ty_Ratio, efc)) → new_esEs19(vwx300, vwx400, efc)
new_lt5(vwx64, vwx66, cg, da, db) → new_esEs14(new_compare8(vwx64, vwx66, cg, da, db), LT)
new_esEs34(vwx260, vwx270, ty_Float) → new_esEs21(vwx260, vwx270)
new_esEs14(GT, GT) → True
new_esEs8(vwx302, vwx402, ty_Ordering) → new_esEs14(vwx302, vwx402)
new_esEs11(vwx300, vwx400, app(ty_Ratio, dhf)) → new_esEs19(vwx300, vwx400, dhf)
new_compare8(@3(vwx300, vwx301, vwx302), @3(vwx400, vwx401, vwx402), be, bf, bg) → new_compare29(vwx300, vwx301, vwx302, vwx400, vwx401, vwx402, new_asAs(new_esEs10(vwx300, vwx400, be), new_asAs(new_esEs9(vwx301, vwx401, bf), new_esEs8(vwx302, vwx402, bg))), be, bf, bg)
new_ltEs6(Right(vwx260), Right(vwx270), bag, app(ty_Maybe, bbh)) → new_ltEs14(vwx260, vwx270, bbh)
new_esEs39(vwx3000, vwx4000, app(ty_Ratio, ffg)) → new_esEs19(vwx3000, vwx4000, ffg)
new_ltEs14(Just(vwx260), Just(vwx270), ty_Bool) → new_ltEs13(vwx260, vwx270)
new_esEs28(vwx260, vwx270, ty_Char) → new_esEs22(vwx260, vwx270)
new_compare111(vwx104, vwx105, False, ddf) → GT
new_esEs33(vwx3000, vwx4000, ty_Double) → new_esEs23(vwx3000, vwx4000)
new_esEs10(vwx300, vwx400, ty_Bool) → new_esEs18(vwx300, vwx400)
new_lt23(vwx45, vwx48, app(ty_Maybe, ccg)) → new_lt14(vwx45, vwx48, ccg)
new_ltEs4(vwx33, vwx34, ty_Char) → new_ltEs16(vwx33, vwx34)
new_esEs4(vwx301, vwx401, ty_Bool) → new_esEs18(vwx301, vwx401)
new_ltEs21(vwx26, vwx27, ty_Char) → new_ltEs16(vwx26, vwx27)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, ty_Bool) → new_esEs18(vwx3000, vwx4000)
new_ltEs4(vwx33, vwx34, app(app(ty_@2, ceb), cec)) → new_ltEs5(vwx33, vwx34, ceb, cec)
new_esEs29(vwx3002, vwx4002, ty_Double) → new_esEs23(vwx3002, vwx4002)
new_ltEs13(True, True) → True
new_compare11(vwx30, vwx40, ty_Double) → new_compare9(vwx30, vwx40)
new_ltEs13(False, False) → True
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, app(app(app(ty_@3, ddb), ddc), ddd)) → new_esEs20(vwx3000, vwx4000, ddb, ddc, ddd)
new_ltEs10(vwx26, vwx27, bfg) → new_fsEs(new_compare5(vwx26, vwx27, bfg))
new_esEs11(vwx300, vwx400, ty_@0) → new_esEs25(vwx300, vwx400)
new_lt22(vwx44, vwx47, ty_Integer) → new_lt10(vwx44, vwx47)
new_lt23(vwx45, vwx48, app(app(app(ty_@3, ccc), ccd), cce)) → new_lt5(vwx45, vwx48, ccc, ccd, cce)
new_esEs27(vwx261, vwx271, ty_Int) → new_esEs15(vwx261, vwx271)
new_esEs9(vwx301, vwx401, app(ty_Maybe, chb)) → new_esEs12(vwx301, vwx401, chb)
new_esEs26(vwx64, vwx66, ty_Float) → new_esEs21(vwx64, vwx66)
new_compare11(vwx30, vwx40, app(ty_Maybe, ca)) → new_compare17(vwx30, vwx40, ca)
new_lt23(vwx45, vwx48, app(ty_Ratio, feb)) → new_lt15(vwx45, vwx48, feb)
new_compare27(vwx26, vwx27, False, dgc, fb) → new_compare112(vwx26, vwx27, new_ltEs21(vwx26, vwx27, dgc), dgc, fb)
new_esEs32(vwx3001, vwx4001, ty_Double) → new_esEs23(vwx3001, vwx4001)
new_lt21(vwx260, vwx270, ty_Int) → new_lt4(vwx260, vwx270)
new_lt21(vwx260, vwx270, ty_Double) → new_lt17(vwx260, vwx270)
new_esEs39(vwx3000, vwx4000, ty_Float) → new_esEs21(vwx3000, vwx4000)
new_ltEs14(Just(vwx260), Just(vwx270), app(ty_[], bgg)) → new_ltEs10(vwx260, vwx270, bgg)
new_ltEs24(vwx55, vwx56, app(app(ty_Either, cdb), cdc)) → new_ltEs6(vwx55, vwx56, cdb, cdc)
new_compare25(LT, EQ) → LT
new_esEs33(vwx3000, vwx4000, ty_Char) → new_esEs22(vwx3000, vwx4000)
new_lt22(vwx44, vwx47, app(ty_Ratio, fdh)) → new_lt15(vwx44, vwx47, fdh)
new_compare25(LT, LT) → EQ
new_esEs12(Just(vwx3000), Just(vwx4000), ty_Float) → new_esEs21(vwx3000, vwx4000)
new_esEs18(False, True) → False
new_esEs18(True, False) → False
new_lt21(vwx260, vwx270, ty_Float) → new_lt12(vwx260, vwx270)
new_esEs29(vwx3002, vwx4002, ty_Bool) → new_esEs18(vwx3002, vwx4002)
new_lt18(vwx64, vwx66) → new_esEs14(new_compare25(vwx64, vwx66), LT)
new_compare17(Just(vwx300), Nothing, ca) → GT
new_lt16(vwx64, vwx66) → new_esEs14(new_compare19(vwx64, vwx66), LT)
new_esEs39(vwx3000, vwx4000, ty_Integer) → new_esEs17(vwx3000, vwx4000)
new_esEs34(vwx260, vwx270, app(app(ty_@2, gc), gd)) → new_esEs13(vwx260, vwx270, gc, gd)
new_esEs30(vwx3001, vwx4001, ty_Double) → new_esEs23(vwx3001, vwx4001)
new_esEs27(vwx261, vwx271, ty_Bool) → new_esEs18(vwx261, vwx271)
new_esEs28(vwx260, vwx270, ty_Ordering) → new_esEs14(vwx260, vwx270)
new_ltEs6(Left(vwx260), Left(vwx270), ty_Integer, hg) → new_ltEs7(vwx260, vwx270)
new_ltEs23(vwx46, vwx49, ty_Bool) → new_ltEs13(vwx46, vwx49)
new_ltEs6(Right(vwx260), Right(vwx270), bag, ty_Integer) → new_ltEs7(vwx260, vwx270)
new_ltEs19(vwx65, vwx67, ty_Integer) → new_ltEs7(vwx65, vwx67)
new_esEs16(Right(vwx3000), Right(vwx4000), dcc, ty_Float) → new_esEs21(vwx3000, vwx4000)
new_esEs12(Just(vwx3000), Just(vwx4000), app(ty_[], cgg)) → new_esEs24(vwx3000, vwx4000, cgg)
new_ltEs21(vwx26, vwx27, ty_Float) → new_ltEs12(vwx26, vwx27)
new_esEs35(vwx45, vwx48, ty_@0) → new_esEs25(vwx45, vwx48)
new_esEs12(Just(vwx3000), Just(vwx4000), app(ty_Maybe, cfh)) → new_esEs12(vwx3000, vwx4000, cfh)
new_lt20(vwx260, vwx270, app(app(app(ty_@3, bfb), bfc), bfd)) → new_lt5(vwx260, vwx270, bfb, bfc, bfd)
new_ltEs24(vwx55, vwx56, ty_Double) → new_ltEs17(vwx55, vwx56)
new_esEs11(vwx300, vwx400, ty_Integer) → new_esEs17(vwx300, vwx400)
new_esEs26(vwx64, vwx66, ty_Double) → new_esEs23(vwx64, vwx66)
new_esEs9(vwx301, vwx401, app(app(app(ty_@3, chf), chg), chh)) → new_esEs20(vwx301, vwx401, chf, chg, chh)
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(Nothing, Nothing, dgd) → True
new_esEs34(vwx260, vwx270, app(app(ty_Either, gf), gg)) → new_esEs16(vwx260, vwx270, gf, gg)
new_esEs8(vwx302, vwx402, app(app(ty_@2, fcd), fce)) → new_esEs13(vwx302, vwx402, fcd, fce)
new_asAs(True, vwx82) → vwx82
new_compare26(vwx64, vwx65, vwx66, vwx67, True, de, cd) → EQ
new_ltEs8(@3(vwx260, vwx261, vwx262), @3(vwx270, vwx271, vwx272), bca, bcb, bdf) → new_pePe(new_lt20(vwx260, vwx270, bca), new_asAs(new_esEs28(vwx260, vwx270, bca), new_pePe(new_lt19(vwx261, vwx271, bcb), new_asAs(new_esEs27(vwx261, vwx271, bcb), new_ltEs20(vwx262, vwx272, bdf)))))
new_compare112(vwx87, vwx88, True, dgg, dgh) → LT
new_esEs30(vwx3001, vwx4001, ty_Integer) → new_esEs17(vwx3001, vwx4001)
new_esEs16(Left(vwx3000), Left(vwx4000), app(ty_Maybe, dbc), dbb) → new_esEs12(vwx3000, vwx4000, dbc)
new_primMulNat0(Succ(vwx30100), Succ(vwx40100)) → new_primPlusNat0(new_primMulNat0(vwx30100, Succ(vwx40100)), vwx40100)
new_esEs28(vwx260, vwx270, app(app(ty_Either, beh), bfa)) → new_esEs16(vwx260, vwx270, beh, bfa)
new_esEs28(vwx260, vwx270, app(app(app(ty_@3, bfb), bfc), bfd)) → new_esEs20(vwx260, vwx270, bfb, bfc, bfd)
new_esEs31(vwx3000, vwx4000, ty_Float) → new_esEs21(vwx3000, vwx4000)
new_esEs4(vwx301, vwx401, app(app(app(ty_@3, fbf), fbg), fbh)) → new_esEs20(vwx301, vwx401, fbf, fbg, fbh)
new_ltEs19(vwx65, vwx67, ty_Float) → new_ltEs12(vwx65, vwx67)
new_esEs14(LT, LT) → True
new_ltEs19(vwx65, vwx67, ty_Ordering) → new_ltEs18(vwx65, vwx67)
new_esEs28(vwx260, vwx270, app(ty_Maybe, bff)) → new_esEs12(vwx260, vwx270, bff)
new_esEs6(vwx300, vwx400, ty_Ordering) → new_esEs14(vwx300, vwx400)
new_ltEs17(vwx26, vwx27) → new_fsEs(new_compare9(vwx26, vwx27))
new_esEs11(vwx300, vwx400, app(app(ty_@2, dha), dhb)) → new_esEs13(vwx300, vwx400, dha, dhb)
new_lt23(vwx45, vwx48, ty_Char) → new_lt16(vwx45, vwx48)
new_lt20(vwx260, vwx270, ty_@0) → new_lt11(vwx260, vwx270)
new_ltEs24(vwx55, vwx56, app(app(ty_@2, cch), cda)) → new_ltEs5(vwx55, vwx56, cch, cda)
new_compare28(vwx55, vwx56, True, fef) → EQ
new_esEs36(vwx44, vwx47, ty_Float) → new_esEs21(vwx44, vwx47)
new_ltEs22(vwx261, vwx271, app(ty_Maybe, gb)) → new_ltEs14(vwx261, vwx271, gb)
new_esEs9(vwx301, vwx401, ty_Int) → new_esEs15(vwx301, vwx401)
new_compare25(GT, GT) → EQ
new_compare5([], [], bha) → EQ
new_esEs12(Just(vwx3000), Just(vwx4000), ty_Integer) → new_esEs17(vwx3000, vwx4000)
new_ltEs6(Right(vwx260), Right(vwx270), bag, ty_Int) → new_ltEs9(vwx260, vwx270)
new_lt21(vwx260, vwx270, app(ty_Ratio, fcc)) → new_lt15(vwx260, vwx270, fcc)
new_esEs4(vwx301, vwx401, app(ty_[], fca)) → new_esEs24(vwx301, vwx401, fca)
new_esEs31(vwx3000, vwx4000, app(app(app(ty_@3, eeb), eec), eed)) → new_esEs20(vwx3000, vwx4000, eeb, eec, eed)
new_esEs26(vwx64, vwx66, app(ty_Ratio, dac)) → new_esEs19(vwx64, vwx66, dac)
new_compare11(vwx30, vwx40, ty_Integer) → new_compare14(vwx30, vwx40)
new_compare115(vwx129, vwx130, vwx131, vwx132, vwx133, vwx134, False, fec, fed, fee) → GT
new_esEs32(vwx3001, vwx4001, app(ty_[], ehe)) → new_esEs24(vwx3001, vwx4001, ehe)
new_esEs34(vwx260, vwx270, ty_Char) → new_esEs22(vwx260, vwx270)
new_esEs26(vwx64, vwx66, ty_Int) → new_esEs15(vwx64, vwx66)
new_esEs31(vwx3000, vwx4000, app(app(ty_@2, edd), ede)) → new_esEs13(vwx3000, vwx4000, edd, ede)
new_primCompAux00(vwx9, GT) → GT
new_esEs5(vwx300, vwx400, app(ty_Ratio, fdf)) → new_esEs19(vwx300, vwx400, fdf)
new_esEs31(vwx3000, vwx4000, ty_Ordering) → new_esEs14(vwx3000, vwx4000)
new_esEs29(vwx3002, vwx4002, app(ty_[], eca)) → new_esEs24(vwx3002, vwx4002, eca)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs39(vwx3000, vwx4000, ty_@0) → new_esEs25(vwx3000, vwx4000)
new_lt4(vwx64, vwx66) → new_esEs14(new_compare6(vwx64, vwx66), LT)
new_ltEs23(vwx46, vwx49, app(app(ty_Either, cah), cba)) → new_ltEs6(vwx46, vwx49, cah, cba)
new_ltEs19(vwx65, vwx67, app(app(ty_Either, dh), ea)) → new_ltEs6(vwx65, vwx67, dh, ea)
new_esEs33(vwx3000, vwx4000, ty_@0) → new_esEs25(vwx3000, vwx4000)
new_compare17(Nothing, Nothing, ca) → EQ
new_esEs32(vwx3001, vwx4001, app(app(ty_@2, egd), ege)) → new_esEs13(vwx3001, vwx4001, egd, ege)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_lt20(vwx260, vwx270, app(app(ty_Either, beh), bfa)) → new_lt9(vwx260, vwx270, beh, bfa)
new_esEs34(vwx260, vwx270, ty_Int) → new_esEs15(vwx260, vwx270)
new_primCmpInt(Neg(Succ(vwx3000)), Pos(vwx400)) → LT
new_esEs35(vwx45, vwx48, ty_Char) → new_esEs22(vwx45, vwx48)
new_esEs36(vwx44, vwx47, app(app(app(ty_@3, bhh), caa), cab)) → new_esEs20(vwx44, vwx47, bhh, caa, cab)
new_esEs21(Float(vwx3000, vwx3001), Float(vwx4000, vwx4001)) → new_esEs15(new_sr(vwx3000, vwx4000), new_sr(vwx3001, vwx4001))
new_not(True) → False
new_lt7(vwx64, vwx66, app(ty_[], dc)) → new_lt6(vwx64, vwx66, dc)
new_compare16(Float(vwx300, vwx301), Float(vwx400, vwx401)) → new_compare6(new_sr(vwx300, vwx400), new_sr(vwx301, vwx401))
new_esEs18(False, False) → True
new_ltEs23(vwx46, vwx49, ty_Float) → new_ltEs12(vwx46, vwx49)

The set Q consists of the following terms:

new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs21(Float(x0, x1), Float(x2, x3))
new_ltEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, ty_Char)
new_esEs5(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs36(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_@0)
new_esEs6(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, ty_Int)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs31(x0, x1, ty_Double)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs27(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Integer)
new_compare5([], :(x0, x1), x2)
new_esEs35(x0, x1, ty_Ordering)
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare7(True, True)
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs33(x0, x1, app(ty_[], x2))
new_compare16(Float(x0, x1), Float(x2, x3))
new_esEs14(GT, EQ)
new_esEs14(EQ, GT)
new_compare11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs34(x0, x1, app(ty_[], x2))
new_esEs6(x0, x1, ty_Int)
new_compare18(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs6(Left(x0), Left(x1), ty_Float, x2)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare19(Char(x0), Char(x1))
new_ltEs6(Left(x0), Right(x1), x2, x3)
new_ltEs6(Right(x0), Left(x1), x2, x3)
new_compare5(:(x0, x1), :(x2, x3), x4)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Integer)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare15(@0, @0)
new_esEs10(x0, x1, ty_@0)
new_lt21(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Float)
new_esEs39(x0, x1, ty_Ordering)
new_lt23(x0, x1, ty_Ordering)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_compare10(x0, x1, False, x2, x3)
new_ltEs20(x0, x1, ty_@0)
new_compare29(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs14(Just(x0), Just(x1), ty_Ordering)
new_esEs16(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs12(Just(x0), Just(x1), ty_Ordering)
new_esEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs6(Left(x0), Left(x1), ty_Char, x2)
new_esEs36(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Char)
new_esEs16(Right(x0), Left(x1), x2, x3)
new_esEs16(Left(x0), Right(x1), x2, x3)
new_compare25(EQ, GT)
new_compare25(GT, EQ)
new_compare6(x0, x1)
new_ltEs24(x0, x1, ty_Bool)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_esEs34(x0, x1, ty_Char)
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Int)
new_compare17(Just(x0), Just(x1), x2)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs12(Just(x0), Just(x1), ty_Double)
new_esEs9(x0, x1, ty_Float)
new_esEs38(x0, x1, ty_Int)
new_ltEs23(x0, x1, ty_Char)
new_compare25(GT, LT)
new_compare25(LT, GT)
new_esEs35(x0, x1, ty_Bool)
new_compare113(x0, x1, x2, x3, True, x4, x5)
new_ltEs17(x0, x1)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt19(x0, x1, ty_Ordering)
new_esEs20(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs27(x0, x1, ty_Bool)
new_lt21(x0, x1, ty_Float)
new_esEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs23(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Char)
new_ltEs6(Left(x0), Left(x1), ty_Double, x2)
new_ltEs14(Just(x0), Just(x1), ty_@0)
new_esEs7(x0, x1, app(ty_[], x2))
new_ltEs6(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs4(x0, x1, ty_Char)
new_asAs(False, x0)
new_esEs12(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare11(x0, x1, app(ty_Maybe, x2))
new_ltEs14(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs18(True, True)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_Bool)
new_esEs36(x0, x1, ty_Integer)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs23(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs4(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Integer)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_@0)
new_pePe(False, x0)
new_esEs5(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs36(x0, x1, ty_Double)
new_esEs35(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_@0)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Char)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Integer)
new_compare5(:(x0, x1), [], x2)
new_ltEs21(x0, x1, ty_Ordering)
new_pePe(True, x0)
new_lt7(x0, x1, ty_Integer)
new_compare115(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Left(x0), Left(x1), ty_Int, x2)
new_esEs16(Right(x0), Right(x1), x2, ty_Double)
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs37(x0, x1, ty_Int)
new_compare11(x0, x1, app(ty_[], x2))
new_primMulInt(Pos(x0), Pos(x1))
new_compare11(x0, x1, ty_Integer)
new_ltEs10(x0, x1, x2)
new_lt7(x0, x1, ty_Char)
new_esEs14(LT, GT)
new_esEs14(GT, LT)
new_compare11(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, ty_Char)
new_esEs31(x0, x1, ty_Float)
new_ltEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_compare29(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(Left(x0), Left(x1), ty_Integer, x2)
new_compare24(x0, x1, True, x2, x3)
new_esEs16(Left(x0), Left(x1), ty_@0, x2)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs6(Right(x0), Right(x1), x2, ty_Float)
new_compare9(Double(x0, x1), Double(x2, x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs39(x0, x1, ty_Bool)
new_compare11(x0, x1, ty_Int)
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, app(ty_[], x2))
new_ltEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs32(x0, x1, ty_Int)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs11(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_compare17(Just(x0), Nothing, x1)
new_compare10(x0, x1, True, x2, x3)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, ty_@0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs12(Nothing, Nothing, x0)
new_ltEs18(LT, GT)
new_ltEs18(GT, LT)
new_esEs12(Just(x0), Just(x1), ty_Integer)
new_esEs10(x0, x1, ty_Bool)
new_esEs4(x0, x1, ty_Char)
new_primEqNat0(Zero, Zero)
new_ltEs14(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs5(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare11(x0, x1, ty_Ordering)
new_esEs39(x0, x1, ty_Int)
new_lt23(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Float)
new_lt21(x0, x1, ty_Double)
new_compare11(x0, x1, ty_Bool)
new_esEs5(x0, x1, ty_Ordering)
new_esEs11(x0, x1, ty_Double)
new_esEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs5(x0, x1, ty_Char)
new_esEs24(:(x0, x1), [], x2)
new_ltEs21(x0, x1, ty_Int)
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt8(x0, x1, x2, x3)
new_esEs36(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Double)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs8(x0, x1, ty_@0)
new_compare13(Left(x0), Left(x1), x2, x3)
new_esEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare28(x0, x1, True, x2)
new_lt23(x0, x1, ty_Float)
new_primMulNat0(Zero, Zero)
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs22(x0, x1, ty_Char)
new_ltEs18(LT, EQ)
new_ltEs18(EQ, LT)
new_lt22(x0, x1, ty_Bool)
new_lt22(x0, x1, ty_Float)
new_ltEs4(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Int)
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs23(x0, x1, app(ty_[], x2))
new_esEs11(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_@0)
new_esEs12(Just(x0), Just(x1), ty_Float)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Float)
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, ty_Ordering)
new_primEqNat0(Succ(x0), Succ(x1))
new_lt7(x0, x1, ty_Float)
new_esEs12(Nothing, Just(x0), x1)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs24(x0, x1, ty_Double)
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs24(x0, x1, app(ty_[], x2))
new_ltEs14(Just(x0), Just(x1), ty_Integer)
new_esEs39(x0, x1, ty_Char)
new_esEs7(x0, x1, ty_Float)
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_lt21(x0, x1, ty_Bool)
new_ltEs6(Right(x0), Right(x1), x2, ty_Integer)
new_esEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Char)
new_ltEs14(Just(x0), Just(x1), ty_Bool)
new_ltEs14(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_compare11(x0, x1, ty_Char)
new_esEs30(x0, x1, ty_Ordering)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_esEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Bool)
new_esEs39(x0, x1, ty_Float)
new_ltEs20(x0, x1, ty_Integer)
new_compare27(x0, x1, False, x2, x3)
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, ty_Double)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs18(False, False)
new_esEs26(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(x0, x1, ty_Bool)
new_esEs28(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs11(x0, x1, ty_Char)
new_ltEs14(Just(x0), Just(x1), ty_Char)
new_ltEs22(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_ltEs6(Right(x0), Right(x1), x2, ty_Char)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(x0, x1, ty_@0)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt23(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Char)
new_esEs17(Integer(x0), Integer(x1))
new_ltEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs8(x0, x1, ty_Double)
new_esEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, ty_Int)
new_primPlusNat1(Succ(x0), Zero)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs33(x0, x1, ty_Bool)
new_esEs16(Right(x0), Right(x1), x2, ty_@0)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs12(Just(x0), Just(x1), ty_Char)
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Bool)
new_esEs4(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Bool)
new_esEs6(x0, x1, ty_Char)
new_esEs32(x0, x1, ty_Double)
new_esEs6(x0, x1, ty_Bool)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Bool)
new_compare8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Zero, Zero)
new_esEs5(x0, x1, ty_Bool)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs13(True, True)
new_esEs32(x0, x1, ty_Float)
new_primCompAux00(x0, EQ)
new_esEs10(x0, x1, ty_Ordering)
new_esEs33(x0, x1, ty_@0)
new_esEs6(x0, x1, ty_Integer)
new_esEs12(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs14(LT, LT)
new_ltEs22(x0, x1, ty_Bool)
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs39(x0, x1, ty_Integer)
new_primPlusNat0(Succ(x0), x1)
new_esEs28(x0, x1, ty_Integer)
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, ty_Integer)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Int)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs13(False, False)
new_lt7(x0, x1, ty_Double)
new_lt20(x0, x1, ty_Float)
new_lt19(x0, x1, ty_Char)
new_compare7(False, True)
new_compare7(True, False)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs29(x0, x1, ty_Float)
new_ltEs12(x0, x1)
new_lt22(x0, x1, ty_Ordering)
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs8(x0, x1, ty_Float)
new_lt18(x0, x1)
new_compare112(x0, x1, True, x2, x3)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_@0)
new_compare25(GT, GT)
new_lt15(x0, x1, x2)
new_ltEs7(x0, x1)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_ltEs13(False, True)
new_ltEs13(True, False)
new_lt23(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs23(Double(x0, x1), Double(x2, x3))
new_lt20(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Ordering)
new_lt13(x0, x1)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs30(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Bool)
new_esEs37(x0, x1, ty_Integer)
new_esEs33(x0, x1, ty_Float)
new_ltEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs34(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Double)
new_lt23(x0, x1, ty_Int)
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Bool)
new_lt11(x0, x1)
new_esEs12(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare11(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, x2, x3, False, x4, x5, x6)
new_esEs6(x0, x1, ty_Ordering)
new_compare25(LT, EQ)
new_ltEs24(x0, x1, ty_Char)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_compare25(EQ, LT)
new_compare28(x0, x1, False, x2)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Char)
new_ltEs14(Just(x0), Just(x1), ty_Float)
new_ltEs6(Right(x0), Right(x1), x2, ty_Bool)
new_lt23(x0, x1, ty_Char)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs34(x0, x1, ty_Double)
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs12(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_lt19(x0, x1, ty_Int)
new_esEs33(x0, x1, ty_Ordering)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_ltEs14(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_lt22(x0, x1, app(ty_Ratio, x2))
new_compare26(x0, x1, x2, x3, True, x4, x5)
new_primPlusNat0(Zero, x0)
new_esEs6(x0, x1, ty_Double)
new_esEs12(Just(x0), Just(x1), ty_Bool)
new_lt22(x0, x1, ty_Double)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_ltEs22(x0, x1, ty_Double)
new_esEs7(x0, x1, ty_Bool)
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulNat0(Succ(x0), Zero)
new_esEs36(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_@0)
new_esEs13(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs23(x0, x1, ty_Bool)
new_esEs18(False, True)
new_esEs18(True, False)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_lt23(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_lt19(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs26(x0, x1, ty_Float)
new_esEs8(x0, x1, ty_Char)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_ltEs14(Just(x0), Just(x1), ty_Int)
new_esEs33(x0, x1, ty_Int)
new_ltEs4(x0, x1, app(ty_[], x2))
new_esEs12(Just(x0), Just(x1), ty_Int)
new_lt20(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Float)
new_esEs5(x0, x1, ty_@0)
new_lt14(x0, x1, x2)
new_compare14(Integer(x0), Integer(x1))
new_ltEs18(LT, LT)
new_esEs8(x0, x1, ty_Integer)
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Int)
new_esEs4(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt19(x0, x1, app(ty_Maybe, x2))
new_ltEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs12(Just(x0), Just(x1), ty_@0)
new_ltEs14(Just(x0), Nothing, x1)
new_ltEs22(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Float)
new_primCompAux0(x0, x1, x2, x3)
new_lt22(x0, x1, ty_@0)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs23(x0, x1, ty_@0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_fsEs(x0)
new_ltEs20(x0, x1, ty_Int)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Ordering)
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, ty_Char)
new_compare114(x0, x1, x2, x3, x4, x5, False, x6, x7, x8, x9)
new_esEs10(x0, x1, ty_Double)
new_esEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_@0)
new_ltEs22(x0, x1, ty_Int)
new_esEs19(:%(x0, x1), :%(x2, x3), x4)
new_lt23(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_compare110(x0, x1, x2, x3, True, x4, x5, x6)
new_esEs28(x0, x1, app(ty_[], x2))
new_primEqNat0(Succ(x0), Zero)
new_esEs39(x0, x1, app(ty_Maybe, x2))
new_lt16(x0, x1)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, app(ty_[], x2))
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs23(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Float)
new_esEs34(x0, x1, ty_Integer)
new_ltEs18(GT, EQ)
new_ltEs18(EQ, GT)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, ty_@0)
new_esEs33(x0, x1, ty_Integer)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs24(:(x0, x1), :(x2, x3), x4)
new_ltEs4(x0, x1, ty_Float)
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs15(x0, x1)
new_lt23(x0, x1, ty_Bool)
new_primCmpNat0(Zero, Zero)
new_esEs30(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Integer)
new_ltEs11(x0, x1)
new_esEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs9(x0, x1)
new_esEs34(x0, x1, ty_Bool)
new_ltEs4(x0, x1, ty_Integer)
new_compare112(x0, x1, False, x2, x3)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Integer)
new_compare17(Nothing, Just(x0), x1)
new_esEs4(x0, x1, ty_@0)
new_lt21(x0, x1, ty_Ordering)
new_ltEs6(Left(x0), Left(x1), ty_Int, x2)
new_lt20(x0, x1, ty_Integer)
new_compare115(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare113(x0, x1, x2, x3, False, x4, x5)
new_esEs10(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs22(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Integer)
new_ltEs24(x0, x1, ty_Ordering)
new_compare13(Left(x0), Right(x1), x2, x3)
new_compare13(Right(x0), Left(x1), x2, x3)
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Ordering)
new_ltEs24(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_Int)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Char)
new_ltEs6(Left(x0), Left(x1), ty_Bool, x2)
new_compare5([], [], x0)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare12(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs39(x0, x1, ty_@0)
new_compare25(EQ, EQ)
new_esEs8(x0, x1, ty_Int)
new_esEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs30(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Ordering)
new_lt19(x0, x1, ty_Double)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs12(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_lt22(x0, x1, ty_Integer)
new_lt12(x0, x1)
new_ltEs14(Nothing, Just(x0), x1)
new_esEs16(Left(x0), Left(x1), ty_Float, x2)
new_esEs7(x0, x1, ty_Ordering)
new_ltEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_lt21(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_compare7(False, False)
new_esEs35(x0, x1, ty_Int)
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs15(x0, x1, x2)
new_ltEs23(x0, x1, ty_Double)
new_ltEs18(EQ, EQ)
new_esEs4(x0, x1, app(ty_[], x2))
new_ltEs22(x0, x1, ty_@0)
new_esEs35(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Int)
new_esEs33(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Double)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Double)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_asAs(True, x0)
new_not(True)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(x0, x1)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24([], :(x0, x1), x2)
new_lt22(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, False, x2, x3)
new_esEs4(x0, x1, ty_Float)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_@0)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare11(x0, x1, ty_Double)
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_esEs29(x0, x1, ty_Integer)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt19(x0, x1, ty_Float)
new_esEs34(x0, x1, ty_Ordering)
new_lt7(x0, x1, app(ty_[], x2))
new_ltEs4(x0, x1, ty_@0)
new_esEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs34(x0, x1, ty_Float)
new_esEs31(x0, x1, ty_Int)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_esEs16(Right(x0), Right(x1), x2, ty_Integer)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_compare11(x0, x1, ty_@0)
new_compare13(Right(x0), Right(x1), x2, x3)
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(Nothing, Nothing, x0)
new_lt17(x0, x1)
new_ltEs14(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs35(x0, x1, ty_Double)
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_Double)
new_esEs35(x0, x1, ty_@0)
new_sr(x0, x1)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs14(EQ, LT)
new_esEs14(LT, EQ)
new_sr0(Integer(x0), Integer(x1))
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs18(GT, GT)
new_compare27(x0, x1, True, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs39(x0, x1, ty_Double)
new_compare11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt21(x0, x1, ty_Char)
new_primEqNat0(Zero, Succ(x0))
new_esEs11(x0, x1, ty_Float)
new_compare111(x0, x1, False, x2)
new_esEs14(GT, GT)
new_lt7(x0, x1, ty_Bool)
new_ltEs24(x0, x1, ty_Integer)
new_esEs35(x0, x1, ty_Float)
new_lt21(x0, x1, ty_@0)
new_ltEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_ltEs24(x0, x1, ty_Float)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs24([], [], x0)
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs38(x0, x1, ty_Integer)
new_esEs22(Char(x0), Char(x1))
new_esEs6(x0, x1, ty_@0)
new_esEs27(x0, x1, app(ty_[], x2))
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs25(@0, @0)
new_esEs7(x0, x1, ty_@0)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, LT)
new_esEs36(x0, x1, ty_Char)
new_esEs14(EQ, EQ)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs35(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Char)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, x2)
new_lt22(x0, x1, ty_Int)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_esEs16(Left(x0), Left(x1), ty_Integer, x2)
new_lt19(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs14(Just(x0), Just(x1), app(ty_[], x2))
new_lt19(x0, x1, ty_Bool)
new_esEs36(x0, x1, ty_Float)
new_lt20(x0, x1, ty_Bool)
new_compare111(x0, x1, True, x2)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs19(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_compare17(Nothing, Nothing, x0)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_compare18(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs12(Just(x0), Nothing, x1)
new_compare25(LT, LT)
new_compare26(x0, x1, x2, x3, False, x4, x5)
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_@0)
new_ltEs14(Just(x0), Just(x1), ty_Double)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_@0)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_[], x2))
new_lt21(x0, x1, app(ty_[], x2))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, ty_Integer)
new_esEs39(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Double)
new_esEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpNat0(Succ(x0), Zero)
new_esEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_lt19(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, x2, x3, x4, x5, True, x6, x7, x8, x9)
new_primPlusNat1(Zero, Succ(x0))
new_esEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt5(x0, x1, x2, x3, x4)
new_ltEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_lt10(x0, x1)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_primCompAux00(x0, GT)
new_lt9(x0, x1, x2, x3)
new_ltEs23(x0, x1, ty_Float)
new_esEs12(Just(x0), Just(x1), app(ty_[], x2))
new_esEs31(x0, x1, ty_@0)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Char)
new_lt7(x0, x1, ty_@0)
new_ltEs4(x0, x1, ty_Bool)

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: