YES 3.99
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 b, Ord a) => (b,a) -> (b,a) -> Ordering) :: (Ord a, Ord b) => (b,a) -> (b,a) -> Ordering) |
module Main where
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, Ord b) => (a,b) -> (a,b) -> Ordering) :: (Ord a, Ord b) => (a,b) -> (a,b) -> Ordering) |
module Main where
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, Ord b) => (a,b) -> (a,b) -> Ordering) :: (Ord a, Ord b) => (a,b) -> (a,b) -> Ordering) |
module Main where
Replaced joker patterns by fresh variables and removed binding patterns.
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
mainModule Main
|
| ((compare :: (Ord a, Ord b) => (a,b) -> (a,b) -> Ordering) :: (Ord a, Ord b) => (a,b) -> (a,b) -> Ordering) |
module Main where
Cond Reductions:
The following Function with conditions
| compare | x y |
| | | x == y | |
| | | x <= y | |
| | | otherwise | |
|
is transformed to
| compare | x y | = compare3 x y |
| compare1 | x y True | = LT |
| compare1 | x y False | = compare0 x y otherwise |
| compare2 | x y True | = EQ |
| compare2 | x y False | = compare1 x y (x <= y) |
| compare3 | x y | = compare2 x y (x == y) |
The following Function with conditions
| gcd' | x 0 | = x |
| gcd' | x y | = gcd' y (x `rem` y) |
is transformed to
| gcd' | x zx | = gcd'2 x zx |
| gcd' | x y | = gcd'0 x y |
| gcd'0 | x y | = gcd' y (x `rem` y) |
| gcd'1 | True x zx | = x |
| gcd'1 | zy zz vuu | = gcd'0 zz vuu |
| gcd'2 | x zx | = gcd'1 (zx == 0) x zx |
| gcd'2 | vuv vuw | = gcd'0 vuv vuw |
The following Function with conditions
| gcd | 0 0 | = error [] |
| gcd | x y | =
| gcd' (abs x) (abs y) |
| where |
| gcd' | x 0 | = x |
| gcd' | x y | = gcd' y (x `rem` y) |
|
|
is transformed to
| gcd | vux vuy | = gcd3 vux vuy |
| gcd | x y | = gcd0 x y |
| gcd0 | x y | =
| gcd' (abs x) (abs y) |
| where |
| gcd' | x zx | = gcd'2 x zx |
| gcd' | x y | = gcd'0 x y |
|
|
| gcd'0 | x y | = gcd' y (x `rem` y) |
|
|
| gcd'1 | True x zx | = x |
| gcd'1 | zy zz vuu | = gcd'0 zz vuu |
|
|
| gcd'2 | x zx | = gcd'1 (zx == 0) x zx |
| gcd'2 | vuv vuw | = gcd'0 vuv vuw |
|
|
| gcd1 | True vux vuy | = error [] |
| gcd1 | vuz vvu vvv | = gcd0 vvu vvv |
| gcd2 | True vux vuy | = gcd1 (vuy == 0) vux vuy |
| gcd2 | vvw vvx vvy | = gcd0 vvx vvy |
| gcd3 | vux vuy | = gcd2 (vux == 0) vux vuy |
| gcd3 | vvz vwu | = gcd0 vvz vwu |
The following Function with conditions
is transformed to
| 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
is transformed to
| undefined0 | True | = undefined |
| undefined1 | | = undefined0 False |
The following Function with conditions
| reduce | x y |
| | | y == 0 | |
| | | otherwise |
| = | x `quot` d :% (y `quot` d) |
|
|
| where | |
|
is transformed to
| reduce2 | x y | =
| reduce1 x y (y == 0) |
| where | |
|
| 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, Ord b) => (a,b) -> (a,b) -> Ordering) :: (Ord a, Ord b) => (a,b) -> (a,b) -> Ordering) |
module Main where
Let/Where Reductions:
The bindings of the following Let/Where expression
| reduce1 x y (y == 0) |
| where | |
|
| reduce0 | x y True | = x `quot` d :% (y `quot` d) |
|
|
| reduce1 | x y True | = error [] |
| reduce1 | x y False | = reduce0 x y otherwise |
|
are unpacked to the following functions on top level
| reduce2D | vwv vww | = gcd vwv vww |
| reduce2Reduce0 | vwv vww x y True | = x `quot` reduce2D vwv vww :% (y `quot` reduce2D vwv vww) |
| reduce2Reduce1 | vwv vww x y True | = error [] |
| reduce2Reduce1 | vwv vww x y False | = reduce2Reduce0 vwv vww x y otherwise |
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'2 | x zx | = gcd0Gcd'1 (zx == 0) x zx |
| gcd0Gcd'2 | vuv vuw | = gcd0Gcd'0 vuv vuw |
| 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) |
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
mainModule Main
|
| ((compare :: (Ord b, Ord a) => (a,b) -> (a,b) -> Ordering) :: (Ord b, Ord a) => (a,b) -> (a,b) -> Ordering) |
module Main where
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 b, Ord a) => (b,a) -> (b,a) -> Ordering) |
module Main where
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(vwx3100), Succ(vwx4100)) → new_primEqNat(vwx3100, vwx4100)
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:
- new_primEqNat(Succ(vwx3100), Succ(vwx4100)) → new_primEqNat(vwx3100, vwx4100)
The graph contains the following edges 1 > 1, 2 > 2
↳ 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(vwx7600), Succ(vwx411000)) → new_primPlusNat(vwx7600, vwx411000)
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:
- new_primPlusNat(Succ(vwx7600), Succ(vwx411000)) → new_primPlusNat(vwx7600, vwx411000)
The graph contains the following edges 1 > 1, 2 > 2
↳ 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(vwx31100), Succ(vwx41100)) → new_primMulNat(vwx31100, Succ(vwx41100))
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:
- new_primMulNat(Succ(vwx31100), Succ(vwx41100)) → new_primMulNat(vwx31100, Succ(vwx41100))
The graph contains the following edges 1 > 1, 2 >= 2
↳ 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(vwx2200), Succ(vwx2400)) → new_primCmpNat(vwx2200, vwx2400)
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:
- new_primCmpNat(Succ(vwx2200), Succ(vwx2400)) → new_primCmpNat(vwx2200, vwx2400)
The graph contains the following edges 1 > 1, 2 > 2
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
↳ HASKELL
↳ Narrow
↳ AND
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDPSizeChangeProof
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs1(vwx311, vwx411, bbb, bbc, bbd)
new_esEs0(Left(vwx310), Left(vwx410), app(ty_[], de), ce) → new_esEs(vwx310, vwx410, de)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(app(ty_@2, hb), hc), gf) → new_esEs2(vwx311, vwx411, hb, hc)
new_esEs0(Right(vwx310), Right(vwx410), df, app(app(ty_@2, ed), ee)) → new_esEs2(vwx310, vwx410, ed, ee)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(app(app(ty_@3, gg), gh), ha), gf) → new_esEs1(vwx311, vwx411, gg, gh, ha)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(app(ty_@2, bbe), bbf)) → new_esEs2(vwx311, vwx411, bbe, bbf)
new_esEs3(Just(vwx310), Just(vwx410), app(app(ty_Either, bdc), bdd)) → new_esEs0(vwx310, vwx410, bdc, bdd)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(ty_Maybe, bda), bcc) → new_esEs3(vwx310, vwx410, bda)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(ty_Maybe, hd), gf) → new_esEs3(vwx311, vwx411, hd)
new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(app(ty_@2, bg), bh)) → new_esEs2(vwx310, vwx410, bg, bh)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(app(app(ty_@3, fd), ff), fg)) → new_esEs1(vwx312, vwx412, fd, ff, fg)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(ty_Maybe, bbg)) → new_esEs3(vwx311, vwx411, bbg)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(app(ty_@2, bcg), bch), bcc) → new_esEs2(vwx310, vwx410, bcg, bch)
new_esEs0(Left(vwx310), Left(vwx410), app(ty_Maybe, dd), ce) → new_esEs3(vwx310, vwx410, dd)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(app(ty_Either, bah), bba)) → new_esEs0(vwx311, vwx411, bah, bba)
new_esEs0(Left(vwx310), Left(vwx410), app(app(ty_Either, cc), cd), ce) → new_esEs0(vwx310, vwx410, cc, cd)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(app(app(ty_@3, bcd), bce), bcf), bcc) → new_esEs1(vwx310, vwx410, bcd, bce, bcf)
new_esEs3(Just(vwx310), Just(vwx410), app(app(ty_@2, bdh), bea)) → new_esEs2(vwx310, vwx410, bdh, bea)
new_esEs0(Left(vwx310), Left(vwx410), app(app(ty_@2, db), dc), ce) → new_esEs2(vwx310, vwx410, db, dc)
new_esEs0(Right(vwx310), Right(vwx410), df, app(app(ty_Either, dg), dh)) → new_esEs0(vwx310, vwx410, dg, dh)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(app(ty_@2, fh), ga)) → new_esEs2(vwx312, vwx412, fh, ga)
new_esEs3(Just(vwx310), Just(vwx410), app(app(app(ty_@3, bde), bdf), bdg)) → new_esEs1(vwx310, vwx410, bde, bdf, bdg)
new_esEs3(Just(vwx310), Just(vwx410), app(ty_[], bec)) → new_esEs(vwx310, vwx410, bec)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(app(ty_@3, hh), baa), bab), fa, gf) → new_esEs1(vwx310, vwx410, hh, baa, bab)
new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(app(ty_Either, bb), bc)) → new_esEs0(vwx310, vwx410, bb, bc)
new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), ba) → new_esEs(vwx311, vwx411, ba)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(ty_Either, hf), hg), fa, gf) → new_esEs0(vwx310, vwx410, hf, hg)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(ty_[], bbh)) → new_esEs(vwx311, vwx411, bbh)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(ty_Maybe, gb)) → new_esEs3(vwx312, vwx412, gb)
new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(vwx310, vwx410, bd, be, bf)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(app(ty_Either, gd), ge), gf) → new_esEs0(vwx311, vwx411, gd, ge)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(app(ty_Either, fb), fc)) → new_esEs0(vwx312, vwx412, fb, fc)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(ty_Maybe, bae), fa, gf) → new_esEs3(vwx310, vwx410, bae)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(ty_[], baf), fa, gf) → new_esEs(vwx310, vwx410, baf)
new_esEs3(Just(vwx310), Just(vwx410), app(ty_Maybe, beb)) → new_esEs3(vwx310, vwx410, beb)
new_esEs0(Right(vwx310), Right(vwx410), df, app(ty_[], eg)) → new_esEs(vwx310, vwx410, eg)
new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(ty_Maybe, ca)) → new_esEs3(vwx310, vwx410, ca)
new_esEs0(Right(vwx310), Right(vwx410), df, app(ty_Maybe, ef)) → new_esEs3(vwx310, vwx410, ef)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(ty_[], bdb), bcc) → new_esEs(vwx310, vwx410, bdb)
new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(app(ty_Either, bca), bcb), bcc) → new_esEs0(vwx310, vwx410, bca, bcb)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(ty_@2, bac), bad), fa, gf) → new_esEs2(vwx310, vwx410, bac, bad)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(ty_[], gc)) → new_esEs(vwx312, vwx412, gc)
new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(ty_[], he), gf) → new_esEs(vwx311, vwx411, he)
new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(ty_[], cb)) → new_esEs(vwx310, vwx410, cb)
new_esEs0(Left(vwx310), Left(vwx410), app(app(app(ty_@3, cf), cg), da), ce) → new_esEs1(vwx310, vwx410, cf, cg, da)
new_esEs0(Right(vwx310), Right(vwx410), df, app(app(app(ty_@3, ea), eb), ec)) → new_esEs1(vwx310, vwx410, ea, eb, ec)
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:
- new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(app(ty_@2, bg), bh)) → new_esEs2(vwx310, vwx410, bg, bh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(app(ty_Either, bb), bc)) → new_esEs0(vwx310, vwx410, bb, bc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(vwx310, vwx410, bd, be, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_esEs3(Just(vwx310), Just(vwx410), app(app(ty_@2, bdh), bea)) → new_esEs2(vwx310, vwx410, bdh, bea)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(ty_Maybe, ca)) → new_esEs3(vwx310, vwx410, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs3(Just(vwx310), Just(vwx410), app(app(ty_Either, bdc), bdd)) → new_esEs0(vwx310, vwx410, bdc, bdd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs3(Just(vwx310), Just(vwx410), app(app(app(ty_@3, bde), bdf), bdg)) → new_esEs1(vwx310, vwx410, bde, bdf, bdg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_esEs3(Just(vwx310), Just(vwx410), app(ty_Maybe, beb)) → new_esEs3(vwx310, vwx410, beb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs3(Just(vwx310), Just(vwx410), app(ty_[], bec)) → new_esEs(vwx310, vwx410, bec)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(app(ty_@2, hb), hc), gf) → new_esEs2(vwx311, vwx411, hb, hc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(app(ty_@2, fh), ga)) → new_esEs2(vwx312, vwx412, fh, ga)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(ty_@2, bac), bad), fa, gf) → new_esEs2(vwx310, vwx410, bac, bad)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(ty_Either, hf), hg), fa, gf) → new_esEs0(vwx310, vwx410, hf, hg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(app(ty_Either, gd), ge), gf) → new_esEs0(vwx311, vwx411, gd, ge)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(app(ty_Either, fb), fc)) → new_esEs0(vwx312, vwx412, fb, fc)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(app(app(ty_@3, gg), gh), ha), gf) → new_esEs1(vwx311, vwx411, gg, gh, ha)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(app(app(ty_@3, fd), ff), fg)) → new_esEs1(vwx312, vwx412, fd, ff, fg)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(app(app(ty_@3, hh), baa), bab), fa, gf) → new_esEs1(vwx310, vwx410, hh, baa, bab)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(ty_Maybe, hd), gf) → new_esEs3(vwx311, vwx411, hd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(ty_Maybe, gb)) → new_esEs3(vwx312, vwx412, gb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(ty_Maybe, bae), fa, gf) → new_esEs3(vwx310, vwx410, bae)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), app(ty_[], baf), fa, gf) → new_esEs(vwx310, vwx410, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, fa, app(ty_[], gc)) → new_esEs(vwx312, vwx412, gc)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
- new_esEs1(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), eh, app(ty_[], he), gf) → new_esEs(vwx311, vwx411, he)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(app(ty_@2, bbe), bbf)) → new_esEs2(vwx311, vwx411, bbe, bbf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(app(ty_@2, bcg), bch), bcc) → new_esEs2(vwx310, vwx410, bcg, bch)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs0(Right(vwx310), Right(vwx410), df, app(app(ty_@2, ed), ee)) → new_esEs2(vwx310, vwx410, ed, ee)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_esEs0(Left(vwx310), Left(vwx410), app(app(ty_@2, db), dc), ce) → new_esEs2(vwx310, vwx410, db, dc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), ba) → new_esEs(vwx311, vwx411, ba)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
- new_esEs(:(vwx310, vwx311), :(vwx410, vwx411), app(ty_[], cb)) → new_esEs(vwx310, vwx410, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(app(ty_Either, bah), bba)) → new_esEs0(vwx311, vwx411, bah, bba)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(app(ty_Either, bca), bcb), bcc) → new_esEs0(vwx310, vwx410, bca, bcb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs0(Left(vwx310), Left(vwx410), app(app(ty_Either, cc), cd), ce) → new_esEs0(vwx310, vwx410, cc, cd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_esEs0(Right(vwx310), Right(vwx410), df, app(app(ty_Either, dg), dh)) → new_esEs0(vwx310, vwx410, dg, dh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs1(vwx311, vwx411, bbb, bbc, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(app(app(ty_@3, bcd), bce), bcf), bcc) → new_esEs1(vwx310, vwx410, bcd, bce, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(ty_Maybe, bda), bcc) → new_esEs3(vwx310, vwx410, bda)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(ty_Maybe, bbg)) → new_esEs3(vwx311, vwx411, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), bag, app(ty_[], bbh)) → new_esEs(vwx311, vwx411, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_esEs2(@2(vwx310, vwx311), @2(vwx410, vwx411), app(ty_[], bdb), bcc) → new_esEs(vwx310, vwx410, bdb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs0(Left(vwx310), Left(vwx410), app(app(app(ty_@3, cf), cg), da), ce) → new_esEs1(vwx310, vwx410, cf, cg, da)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_esEs0(Right(vwx310), Right(vwx410), df, app(app(app(ty_@3, ea), eb), ec)) → new_esEs1(vwx310, vwx410, ea, eb, ec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_esEs0(Left(vwx310), Left(vwx410), app(ty_Maybe, dd), ce) → new_esEs3(vwx310, vwx410, dd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs0(Right(vwx310), Right(vwx410), df, app(ty_Maybe, ef)) → new_esEs3(vwx310, vwx410, ef)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_esEs0(Left(vwx310), Left(vwx410), app(ty_[], de), ce) → new_esEs(vwx310, vwx410, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_esEs0(Right(vwx310), Right(vwx410), df, app(ty_[], eg)) → new_esEs(vwx310, vwx410, eg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
↳ 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_lt2(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_primCompAux(vwx220, vwx240, new_compare0(vwx221, vwx241, bg), bg)
new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(ty_[], ee))) → new_ltEs2(vwx230, vwx250, ee)
new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(app(ty_Either, cd), ce)), cf)) → new_ltEs(vwx230, vwx250, cd, ce)
new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(app(app(ty_@3, dd), de), df)), cf)) → new_ltEs3(vwx230, vwx250, dd, de, df)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(app(app(ty_@3, bec), bed), bee))) → new_ltEs3(vwx232, vwx252, bec, bed, bee)
new_lt(vwx22, vwx24, ba, bb) → new_compare20(vwx22, vwx24, new_esEs4(vwx22, vwx24, ba, bb), ba, bb)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(ty_Maybe, ha))) → new_ltEs1(vwx231, vwx251, ha)
new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(ty_Maybe, ed))) → new_ltEs1(vwx230, vwx250, ed)
new_lt0(vwx22, vwx24, bd, be) → new_compare(vwx22, vwx24, bd, be)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(ty_Maybe, ha)) → new_ltEs1(vwx231, vwx251, ha)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(ty_[], fh), fc) → new_lt2(vwx230, vwx250, fh)
new_ltEs(Right(vwx230), Right(vwx250), dg, app(app(ty_Either, dh), ea)) → new_ltEs(vwx230, vwx250, dh, ea)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(app(app(ty_@3, hc), hd), he)) → new_ltEs3(vwx231, vwx251, hc, hd, he)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(ty_[], bbg)), bbb), bbc)) → new_lt2(vwx230, vwx250, bbg)
new_lt3(vwx22, vwx24, bh, ca, cb) → new_compare22(vwx22, vwx24, new_esEs6(vwx22, vwx24, bh, ca, cb), bh, ca, cb)
new_ltEs2(vwx23, vwx25, bag) → new_compare1(vwx23, vwx25, bag)
new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(app(ty_@2, eb), ec))) → new_ltEs0(vwx230, vwx250, eb, ec)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(app(ty_Either, ge), gf))) → new_ltEs(vwx231, vwx251, ge, gf)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(app(ty_Either, bcd), bce)), bbc)) → new_lt(vwx231, vwx251, bcd, bce)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(app(app(ty_@3, hc), hd), he))) → new_ltEs3(vwx231, vwx251, hc, hd, he)
new_compare1(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_primCompAux(vwx220, vwx240, new_compare0(vwx221, vwx241, bg), bg)
new_compare22(vwx22, vwx24, False, bh, ca, cb) → new_ltEs3(vwx22, vwx24, bh, ca, cb)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(app(ty_@2, bbd), bbe)), bbb), bbc)) → new_lt0(vwx230, vwx250, bbd, bbe)
new_compare2(:(vwx220, vwx221), vwx23, :(vwx240, vwx241), vwx25, False, app(ty_[], bg), bc) → new_primCompAux(vwx220, vwx240, new_compare0(vwx221, vwx241, bg), bg)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(app(ty_@2, fd), ff)), fc)) → new_lt0(vwx230, vwx250, fd, ff)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(ty_Maybe, bch)), bbc)) → new_lt1(vwx231, vwx251, bch)
new_ltEs1(Just(vwx230), Just(vwx250), app(app(app(ty_@3, bad), bae), baf)) → new_ltEs3(vwx230, vwx250, bad, bae, baf)
new_lt1(vwx22, vwx24, bf) → new_compare21(vwx22, vwx24, new_esEs5(vwx22, vwx24, bf), bf)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(app(ty_@2, bbd), bbe), bbb, bbc) → new_lt0(vwx230, vwx250, bbd, bbe)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(ty_Maybe, bea)) → new_ltEs1(vwx232, vwx252, bea)
new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(ty_[], dc)), cf)) → new_ltEs2(vwx230, vwx250, dc)
new_primCompAux(vwx220, vwx240, vwx65, app(app(ty_@2, bfb), bfc)) → new_compare(vwx220, vwx240, bfb, bfc)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(app(ty_@2, gg), gh))) → new_ltEs0(vwx231, vwx251, gg, gh)
new_compare1(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_compare1(vwx221, vwx241, bg)
new_ltEs1(Just(vwx230), Just(vwx250), app(app(ty_Either, hf), hg)) → new_ltEs(vwx230, vwx250, hf, hg)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(ty_Maybe, bch), bbc) → new_lt1(vwx231, vwx251, bch)
new_primCompAux(vwx220, vwx240, vwx65, app(app(app(ty_@3, bff), bfg), bfh)) → new_compare5(vwx220, vwx240, bff, bfg, bfh)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(ty_Maybe, bbf), bbb, bbc) → new_lt1(vwx230, vwx250, bbf)
new_compare2(vwx22, vwx23, vwx24, vwx25, False, app(app(ty_@2, bd), be), bc) → new_compare(vwx22, vwx24, bd, be)
new_primCompAux(vwx220, vwx240, vwx65, app(app(ty_Either, beh), bfa)) → new_compare3(vwx220, vwx240, beh, bfa)
new_ltEs(Left(vwx230), Left(vwx250), app(ty_Maybe, db), cf) → new_ltEs1(vwx230, vwx250, db)
new_ltEs(Left(vwx230), Left(vwx250), app(app(app(ty_@3, dd), de), df), cf) → new_ltEs3(vwx230, vwx250, dd, de, df)
new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(app(ty_@2, hh), baa))) → new_ltEs0(vwx230, vwx250, hh, baa)
new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(ty_Maybe, bab))) → new_ltEs1(vwx230, vwx250, bab)
new_primCompAux(vwx220, vwx240, vwx65, app(ty_[], bfe)) → new_compare1(vwx220, vwx240, bfe)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(app(app(ty_@3, bdb), bdc), bdd), bbc) → new_lt3(vwx231, vwx251, bdb, bdc, bdd)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(ty_Maybe, bbf)), bbb), bbc)) → new_lt1(vwx230, vwx250, bbf)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(app(ty_@2, bdg), bdh)) → new_ltEs0(vwx232, vwx252, bdg, bdh)
new_compare2(vwx22, vwx23, vwx24, vwx25, False, app(app(ty_Either, ba), bb), bc) → new_compare20(vwx22, vwx24, new_esEs4(vwx22, vwx24, ba, bb), ba, bb)
new_ltEs1(Just(vwx230), Just(vwx250), app(ty_[], bac)) → new_ltEs2(vwx230, vwx250, bac)
new_ltEs(Left(vwx230), Left(vwx250), app(ty_[], dc), cf) → new_ltEs2(vwx230, vwx250, dc)
new_ltEs(Right(vwx230), Right(vwx250), dg, app(ty_[], ee)) → new_ltEs2(vwx230, vwx250, ee)
new_compare(@2(vwx30, vwx31), @2(vwx40, vwx41), bef, beg) → new_compare2(vwx30, vwx31, vwx40, vwx41, new_asAs(new_esEs8(vwx30, vwx40, bef), new_esEs7(vwx31, vwx41, beg)), bef, beg)
new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(app(ty_Either, hf), hg))) → new_ltEs(vwx230, vwx250, hf, hg)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(ty_Maybe, bea))) → new_ltEs1(vwx232, vwx252, bea)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(ty_Maybe, fg), fc) → new_lt1(vwx230, vwx250, fg)
new_ltEs(Right(vwx230), Right(vwx250), dg, app(ty_Maybe, ed)) → new_ltEs1(vwx230, vwx250, ed)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(ty_[], fh)), fc)) → new_lt2(vwx230, vwx250, fh)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(app(app(ty_@3, ga), gb), gc), fc) → new_lt3(vwx230, vwx250, ga, gb, gc)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(app(ty_@2, bdg), bdh))) → new_ltEs0(vwx232, vwx252, bdg, bdh)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(app(ty_@2, fd), ff), fc) → new_lt0(vwx230, vwx250, fd, ff)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(app(ty_Either, bde), bdf)) → new_ltEs(vwx232, vwx252, bde, bdf)
new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(app(ty_@2, cg), da)), cf)) → new_ltEs0(vwx230, vwx250, cg, da)
new_compare4(vwx22, vwx24, bf) → new_compare21(vwx22, vwx24, new_esEs5(vwx22, vwx24, bf), bf)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(app(app(ty_@3, bbh), bca), bcb)), bbb), bbc)) → new_lt3(vwx230, vwx250, bbh, bca, bcb)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(app(app(ty_@3, bdb), bdc), bdd)), bbc)) → new_lt3(vwx231, vwx251, bdb, bdc, bdd)
new_compare2(vwx22, vwx23, vwx24, vwx25, False, cc, app(ty_[], bag)) → new_compare1(vwx23, vwx25, bag)
new_ltEs(Left(vwx230), Left(vwx250), app(app(ty_Either, cd), ce), cf) → new_ltEs(vwx230, vwx250, cd, ce)
new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(ty_Maybe, db)), cf)) → new_ltEs1(vwx230, vwx250, db)
new_lt2(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_compare1(vwx221, vwx241, bg)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(ty_[], bda)), bbc)) → new_lt2(vwx231, vwx251, bda)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(app(ty_Either, fa), fb), fc) → new_lt(vwx230, vwx250, fa, fb)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(ty_[], bda), bbc) → new_lt2(vwx231, vwx251, bda)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(ty_Maybe, fg)), fc)) → new_lt1(vwx230, vwx250, fg)
new_ltEs(Right(vwx230), Right(vwx250), dg, app(app(ty_@2, eb), ec)) → new_ltEs0(vwx230, vwx250, eb, ec)
new_ltEs1(Just(vwx230), Just(vwx250), app(ty_Maybe, bab)) → new_ltEs1(vwx230, vwx250, bab)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(ty_[], bbg), bbb, bbc) → new_lt2(vwx230, vwx250, bbg)
new_ltEs(Right(vwx230), Right(vwx250), dg, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs3(vwx230, vwx250, ef, eg, eh)
new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(app(ty_Either, dh), ea))) → new_ltEs(vwx230, vwx250, dh, ea)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(ty_[], beb)) → new_ltEs2(vwx232, vwx252, beb)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(app(ty_Either, bah), bba), bbb, bbc) → new_lt(vwx230, vwx250, bah, bba)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(app(ty_@2, bcf), bcg), bbc) → new_lt0(vwx231, vwx251, bcf, bcg)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(app(ty_Either, bcd), bce), bbc) → new_lt(vwx231, vwx251, bcd, bce)
new_compare5(vwx22, vwx24, bh, ca, cb) → new_compare22(vwx22, vwx24, new_esEs6(vwx22, vwx24, bh, ca, cb), bh, ca, cb)
new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(app(app(ty_@3, ef), eg), eh))) → new_ltEs3(vwx230, vwx250, ef, eg, eh)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(app(ty_Either, fa), fb)), fc)) → new_lt(vwx230, vwx250, fa, fb)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(ty_[], beb))) → new_ltEs2(vwx232, vwx252, beb)
new_compare20(vwx22, vwx24, False, ba, bb) → new_ltEs(vwx22, vwx24, ba, bb)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(app(ty_Either, ge), gf)) → new_ltEs(vwx231, vwx251, ge, gf)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(app(ty_@2, gg), gh)) → new_ltEs0(vwx231, vwx251, gg, gh)
new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(ty_[], bac))) → new_ltEs2(vwx230, vwx250, bac)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(app(app(ty_@3, bec), bed), bee)) → new_ltEs3(vwx232, vwx252, bec, bed, bee)
new_ltEs1(Just(vwx230), Just(vwx250), app(app(ty_@2, hh), baa)) → new_ltEs0(vwx230, vwx250, hh, baa)
new_compare3(vwx22, vwx24, ba, bb) → new_compare20(vwx22, vwx24, new_esEs4(vwx22, vwx24, ba, bb), ba, bb)
new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(app(app(ty_@3, bbh), bca), bcb), bbb, bbc) → new_lt3(vwx230, vwx250, bbh, bca, bcb)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(app(app(ty_@3, ga), gb), gc)), fc)) → new_lt3(vwx230, vwx250, ga, gb, gc)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(app(ty_@2, bcf), bcg)), bbc)) → new_lt0(vwx231, vwx251, bcf, bcg)
new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(app(app(ty_@3, bad), bae), baf))) → new_ltEs3(vwx230, vwx250, bad, bae, baf)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(app(ty_Either, bah), bba)), bbb), bbc)) → new_lt(vwx230, vwx250, bah, bba)
new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(ty_[], hb))) → new_ltEs2(vwx231, vwx251, hb)
new_primCompAux(vwx220, vwx240, vwx65, app(ty_Maybe, bfd)) → new_compare4(vwx220, vwx240, bfd)
new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(ty_[], hb)) → new_ltEs2(vwx231, vwx251, hb)
new_compare2(vwx22, vwx23, vwx24, vwx25, False, app(app(app(ty_@3, bh), ca), cb), bc) → new_compare22(vwx22, vwx24, new_esEs6(vwx22, vwx24, bh, ca, cb), bh, ca, cb)
new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(app(ty_Either, bde), bdf))) → new_ltEs(vwx232, vwx252, bde, bdf)
new_compare21(vwx22, vwx24, False, bf) → new_ltEs1(vwx22, vwx24, bf)
new_compare2(:(vwx220, vwx221), vwx23, :(vwx240, vwx241), vwx25, False, app(ty_[], bg), bc) → new_compare1(vwx221, vwx241, bg)
new_compare2(vwx22, vwx23, vwx24, vwx25, False, app(ty_Maybe, bf), bc) → new_compare21(vwx22, vwx24, new_esEs5(vwx22, vwx24, bf), bf)
new_ltEs(Left(vwx230), Left(vwx250), app(app(ty_@2, cg), da), cf) → new_ltEs0(vwx230, vwx250, cg, da)
The TRS R consists of the following rules:
new_ltEs7(Right(vwx230), Right(vwx250), dg, ty_Integer) → new_ltEs6(vwx230, vwx250)
new_compare112(vwx22, vwx24, True, bf) → LT
new_esEs24(vwx230, vwx250, ty_Float) → new_esEs12(vwx230, vwx250)
new_esEs4(Left(vwx310), Left(vwx410), app(ty_[], dbc), chf) → new_esEs9(vwx310, vwx410, dbc)
new_lt14(vwx22, vwx24) → new_esEs20(new_compare14(vwx22, vwx24), LT)
new_lt19(vwx230, vwx250, ty_Int) → new_lt18(vwx230, vwx250)
new_esEs18(Char(vwx310), Char(vwx410)) → new_primEqNat0(vwx310, vwx410)
new_compare6(vwx220, vwx240, app(app(app(ty_@3, bff), bfg), bfh)) → new_compare15(vwx220, vwx240, bff, bfg, bfh)
new_esEs23(vwx310, vwx410, app(ty_[], cgf)) → new_esEs9(vwx310, vwx410, cgf)
new_ltEs4(EQ, GT) → True
new_ltEs10(vwx23, vwx25) → new_fsEs(new_compare10(vwx23, vwx25))
new_lt8(vwx230, vwx250, ty_Char) → new_lt11(vwx230, vwx250)
new_compare6(vwx220, vwx240, app(ty_[], bfe)) → new_compare0(vwx220, vwx240, bfe)
new_lt20(vwx231, vwx251, ty_Char) → new_lt11(vwx231, vwx251)
new_esEs4(Right(vwx310), Right(vwx410), che, app(app(app(ty_@3, dbg), dbh), dca)) → new_esEs6(vwx310, vwx410, dbg, dbh, dca)
new_esEs8(vwx30, vwx40, ty_Integer) → new_esEs16(vwx30, vwx40)
new_lt8(vwx230, vwx250, app(app(app(ty_@3, ga), gb), gc)) → new_lt15(vwx230, vwx250, ga, gb, gc)
new_lt19(vwx230, vwx250, app(ty_Ratio, chb)) → new_lt9(vwx230, vwx250, chb)
new_lt19(vwx230, vwx250, app(app(ty_@2, bbd), bbe)) → new_lt10(vwx230, vwx250, bbd, bbe)
new_lt5(vwx22, vwx24, bg) → new_esEs20(new_compare0(vwx22, vwx24, bg), LT)
new_esEs4(Right(vwx310), Right(vwx410), che, app(ty_Maybe, dcd)) → new_esEs5(vwx310, vwx410, dcd)
new_ltEs19(vwx232, vwx252, app(ty_Maybe, bea)) → new_ltEs11(vwx232, vwx252, bea)
new_compare8(:%(vwx220, vwx221), :%(vwx240, vwx241), ty_Integer) → new_compare18(new_sr(vwx220, vwx241), new_sr(vwx240, vwx221))
new_ltEs20(vwx23, vwx25, ty_Bool) → new_ltEs5(vwx23, vwx25)
new_esEs22(vwx311, vwx411, ty_Ordering) → new_esEs20(vwx311, vwx411)
new_lt20(vwx231, vwx251, ty_@0) → new_lt6(vwx231, vwx251)
new_lt21(vwx22, vwx24, app(ty_[], bg)) → new_lt5(vwx22, vwx24, bg)
new_ltEs7(Left(vwx230), Right(vwx250), dg, cf) → True
new_primMulNat0(Zero, Zero) → Zero
new_esEs28(vwx230, vwx250, ty_Bool) → new_esEs19(vwx230, vwx250)
new_sr(Integer(vwx2200), Integer(vwx2410)) → Integer(new_primMulInt(vwx2200, vwx2410))
new_esEs7(vwx31, vwx41, ty_Int) → new_esEs17(vwx31, vwx41)
new_esEs20(EQ, EQ) → True
new_lt20(vwx231, vwx251, ty_Integer) → new_lt4(vwx231, vwx251)
new_ltEs18(vwx231, vwx251, app(ty_[], hb)) → new_ltEs13(vwx231, vwx251, hb)
new_ltEs15(vwx23, vwx25) → new_fsEs(new_compare16(vwx23, vwx25))
new_esEs23(vwx310, vwx410, ty_Float) → new_esEs12(vwx310, vwx410)
new_compare27(vwx22, vwx24, False, bh, ca, cb) → new_compare113(vwx22, vwx24, new_ltEs14(vwx22, vwx24, bh, ca, cb), bh, ca, cb)
new_esEs20(EQ, GT) → False
new_esEs20(GT, EQ) → False
new_lt20(vwx231, vwx251, ty_Int) → new_lt18(vwx231, vwx251)
new_esEs24(vwx230, vwx250, app(app(ty_@2, fd), ff)) → new_esEs13(vwx230, vwx250, fd, ff)
new_esEs29(vwx311, vwx411, app(app(ty_Either, dda), ddb)) → new_esEs4(vwx311, vwx411, dda, ddb)
new_esEs30(vwx310, vwx410, app(ty_Ratio, deb)) → new_esEs11(vwx310, vwx410, deb)
new_ltEs8(vwx23, vwx25, dfd) → new_fsEs(new_compare8(vwx23, vwx25, dfd))
new_esEs31(vwx22, vwx24, app(ty_[], bg)) → new_esEs9(vwx22, vwx24, bg)
new_ltEs18(vwx231, vwx251, ty_Integer) → new_ltEs6(vwx231, vwx251)
new_ltEs14(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, bbc) → new_pePe(new_lt19(vwx230, vwx250, bcc), new_asAs(new_esEs28(vwx230, vwx250, bcc), new_pePe(new_lt20(vwx231, vwx251, bbb), new_asAs(new_esEs27(vwx231, vwx251, bbb), new_ltEs19(vwx232, vwx252, bbc)))))
new_esEs24(vwx230, vwx250, ty_@0) → new_esEs14(vwx230, vwx250)
new_compare13(vwx22, vwx24) → new_compare24(vwx22, vwx24, new_esEs20(vwx22, vwx24))
new_ltEs11(Just(vwx230), Just(vwx250), ty_Bool) → new_ltEs5(vwx230, vwx250)
new_compare19(vwx22, vwx24) → new_primCmpInt(vwx22, vwx24)
new_esEs27(vwx231, vwx251, ty_Ordering) → new_esEs20(vwx231, vwx251)
new_compare0(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_primCompAux0(vwx220, vwx240, new_compare0(vwx221, vwx241, bg), bg)
new_esEs28(vwx230, vwx250, app(app(ty_@2, bbd), bbe)) → new_esEs13(vwx230, vwx250, bbd, bbe)
new_compare6(vwx220, vwx240, ty_Float) → new_compare17(vwx220, vwx240)
new_esEs10(vwx310, vwx410, ty_Bool) → new_esEs19(vwx310, vwx410)
new_esEs5(Just(vwx310), Just(vwx410), app(ty_Maybe, ccb)) → new_esEs5(vwx310, vwx410, ccb)
new_esEs5(Just(vwx310), Just(vwx410), app(ty_[], ccc)) → new_esEs9(vwx310, vwx410, ccc)
new_ltEs20(vwx23, vwx25, app(ty_Maybe, dcf)) → new_ltEs11(vwx23, vwx25, dcf)
new_esEs21(vwx312, vwx412, ty_Int) → new_esEs17(vwx312, vwx412)
new_ltEs7(Right(vwx230), Right(vwx250), dg, app(app(ty_@2, eb), ec)) → new_ltEs9(vwx230, vwx250, eb, ec)
new_esEs4(Right(vwx310), Right(vwx410), che, app(app(ty_@2, dcb), dcc)) → new_esEs13(vwx310, vwx410, dcb, dcc)
new_lt20(vwx231, vwx251, ty_Float) → new_lt17(vwx231, vwx251)
new_ltEs7(Right(vwx230), Right(vwx250), dg, app(ty_Ratio, cce)) → new_ltEs8(vwx230, vwx250, cce)
new_esEs23(vwx310, vwx410, ty_Ordering) → new_esEs20(vwx310, vwx410)
new_esEs11(:%(vwx310, vwx311), :%(vwx410, vwx411), cha) → new_asAs(new_esEs26(vwx310, vwx410, cha), new_esEs25(vwx311, vwx411, cha))
new_lt20(vwx231, vwx251, ty_Bool) → new_lt14(vwx231, vwx251)
new_compare14(vwx22, vwx24) → new_compare23(vwx22, vwx24, new_esEs19(vwx22, vwx24))
new_lt8(vwx230, vwx250, ty_Ordering) → new_lt13(vwx230, vwx250)
new_compare6(vwx220, vwx240, app(app(ty_Either, beh), bfa)) → new_compare7(vwx220, vwx240, beh, bfa)
new_ltEs19(vwx232, vwx252, ty_Float) → new_ltEs16(vwx232, vwx252)
new_pePe(False, vwx57) → vwx57
new_esEs23(vwx310, vwx410, app(app(ty_@2, cgc), cgd)) → new_esEs13(vwx310, vwx410, cgc, cgd)
new_esEs20(LT, LT) → True
new_esEs22(vwx311, vwx411, app(app(ty_Either, ced), cee)) → new_esEs4(vwx311, vwx411, ced, cee)
new_esEs7(vwx31, vwx41, ty_@0) → new_esEs14(vwx31, vwx41)
new_esEs29(vwx311, vwx411, ty_Char) → new_esEs18(vwx311, vwx411)
new_compare23(vwx22, vwx24, True) → EQ
new_esEs22(vwx311, vwx411, ty_Double) → new_esEs15(vwx311, vwx411)
new_ltEs19(vwx232, vwx252, ty_Integer) → new_ltEs6(vwx232, vwx252)
new_esEs29(vwx311, vwx411, app(ty_[], dea)) → new_esEs9(vwx311, vwx411, dea)
new_esEs10(vwx310, vwx410, ty_Ordering) → new_esEs20(vwx310, vwx410)
new_esEs8(vwx30, vwx40, app(ty_[], cah)) → new_esEs9(vwx30, vwx40, cah)
new_esEs30(vwx310, vwx410, ty_Integer) → new_esEs16(vwx310, vwx410)
new_esEs21(vwx312, vwx412, ty_Double) → new_esEs15(vwx312, vwx412)
new_ltEs20(vwx23, vwx25, app(ty_[], bag)) → new_ltEs13(vwx23, vwx25, bag)
new_compare6(vwx220, vwx240, ty_Double) → new_compare16(vwx220, vwx240)
new_compare111(vwx22, vwx24, False) → GT
new_compare111(vwx22, vwx24, True) → LT
new_lt20(vwx231, vwx251, app(app(ty_Either, bcd), bce)) → new_lt7(vwx231, vwx251, bcd, bce)
new_primCmpNat0(Zero, Succ(vwx2400)) → LT
new_esEs30(vwx310, vwx410, ty_Int) → new_esEs17(vwx310, vwx410)
new_ltEs11(Just(vwx230), Just(vwx250), ty_Int) → new_ltEs17(vwx230, vwx250)
new_ltEs7(Left(vwx230), Left(vwx250), app(app(ty_@2, cg), da), cf) → new_ltEs9(vwx230, vwx250, cg, da)
new_compare6(vwx220, vwx240, ty_Int) → new_compare19(vwx220, vwx240)
new_esEs31(vwx22, vwx24, app(ty_Maybe, bf)) → new_esEs5(vwx22, vwx24, bf)
new_esEs31(vwx22, vwx24, ty_Double) → new_esEs15(vwx22, vwx24)
new_lt20(vwx231, vwx251, app(ty_Ratio, chc)) → new_lt9(vwx231, vwx251, chc)
new_lt21(vwx22, vwx24, app(ty_Ratio, daa)) → new_lt9(vwx22, vwx24, daa)
new_esEs23(vwx310, vwx410, ty_Char) → new_esEs18(vwx310, vwx410)
new_esEs28(vwx230, vwx250, ty_Double) → new_esEs15(vwx230, vwx250)
new_esEs10(vwx310, vwx410, app(app(ty_@2, bgh), bha)) → new_esEs13(vwx310, vwx410, bgh, bha)
new_esEs10(vwx310, vwx410, app(app(ty_Either, bgc), bgd)) → new_esEs4(vwx310, vwx410, bgc, bgd)
new_esEs28(vwx230, vwx250, ty_Integer) → new_esEs16(vwx230, vwx250)
new_esEs24(vwx230, vwx250, app(ty_[], fh)) → new_esEs9(vwx230, vwx250, fh)
new_ltEs7(Right(vwx230), Right(vwx250), dg, ty_Bool) → new_ltEs5(vwx230, vwx250)
new_ltEs5(True, False) → False
new_ltEs7(Left(vwx230), Left(vwx250), ty_Integer, cf) → new_ltEs6(vwx230, vwx250)
new_compare0([], [], bg) → EQ
new_pePe(True, vwx57) → True
new_primEqNat0(Zero, Zero) → True
new_compare6(vwx220, vwx240, ty_Ordering) → new_compare13(vwx220, vwx240)
new_ltEs11(Nothing, Just(vwx250), dcf) → True
new_lt21(vwx22, vwx24, ty_Bool) → new_lt14(vwx22, vwx24)
new_ltEs20(vwx23, vwx25, ty_Ordering) → new_ltEs4(vwx23, vwx25)
new_ltEs11(Just(vwx230), Just(vwx250), app(ty_Maybe, bab)) → new_ltEs11(vwx230, vwx250, bab)
new_esEs14(@0, @0) → True
new_esEs30(vwx310, vwx410, ty_Double) → new_esEs15(vwx310, vwx410)
new_lt20(vwx231, vwx251, app(app(ty_@2, bcf), bcg)) → new_lt10(vwx231, vwx251, bcf, bcg)
new_compare25(vwx22, vwx24, False, ba, bb) → new_compare115(vwx22, vwx24, new_ltEs7(vwx22, vwx24, ba, bb), ba, bb)
new_lt8(vwx230, vwx250, app(ty_[], fh)) → new_lt5(vwx230, vwx250, fh)
new_compare6(vwx220, vwx240, ty_Integer) → new_compare18(vwx220, vwx240)
new_lt11(vwx22, vwx24) → new_esEs20(new_compare10(vwx22, vwx24), LT)
new_esEs29(vwx311, vwx411, ty_Ordering) → new_esEs20(vwx311, vwx411)
new_esEs4(Left(vwx310), Left(vwx410), ty_Integer, chf) → new_esEs16(vwx310, vwx410)
new_ltEs5(True, True) → True
new_lt7(vwx22, vwx24, ba, bb) → new_esEs20(new_compare7(vwx22, vwx24, ba, bb), LT)
new_esEs19(True, True) → True
new_lt13(vwx22, vwx24) → new_esEs20(new_compare13(vwx22, vwx24), LT)
new_lt6(vwx22, vwx24) → new_esEs20(new_compare12(vwx22, vwx24), LT)
new_compare6(vwx220, vwx240, ty_Bool) → new_compare14(vwx220, vwx240)
new_ltEs20(vwx23, vwx25, app(app(ty_@2, gd), fc)) → new_ltEs9(vwx23, vwx25, gd, fc)
new_ltEs18(vwx231, vwx251, ty_Char) → new_ltEs10(vwx231, vwx251)
new_ltEs20(vwx23, vwx25, app(app(app(ty_@3, bcc), bbb), bbc)) → new_ltEs14(vwx23, vwx25, bcc, bbb, bbc)
new_ltEs19(vwx232, vwx252, ty_@0) → new_ltEs12(vwx232, vwx252)
new_esEs5(Just(vwx310), Just(vwx410), ty_Char) → new_esEs18(vwx310, vwx410)
new_esEs25(vwx311, vwx411, ty_Int) → new_esEs17(vwx311, vwx411)
new_ltEs19(vwx232, vwx252, ty_Char) → new_ltEs10(vwx232, vwx252)
new_esEs30(vwx310, vwx410, ty_Float) → new_esEs12(vwx310, vwx410)
new_primPlusNat0(Succ(vwx760), vwx41100) → Succ(Succ(new_primPlusNat1(vwx760, vwx41100)))
new_esEs22(vwx311, vwx411, app(ty_[], cfd)) → new_esEs9(vwx311, vwx411, cfd)
new_ltEs11(Just(vwx230), Just(vwx250), ty_Ordering) → new_ltEs4(vwx230, vwx250)
new_esEs28(vwx230, vwx250, ty_@0) → new_esEs14(vwx230, vwx250)
new_lt19(vwx230, vwx250, app(app(app(ty_@3, bbh), bca), bcb)) → new_lt15(vwx230, vwx250, bbh, bca, bcb)
new_esEs20(LT, EQ) → False
new_esEs20(EQ, LT) → False
new_ltEs20(vwx23, vwx25, ty_Float) → new_ltEs16(vwx23, vwx25)
new_esEs8(vwx30, vwx40, ty_Char) → new_esEs18(vwx30, vwx40)
new_esEs4(Left(vwx310), Left(vwx410), ty_Float, chf) → new_esEs12(vwx310, vwx410)
new_lt8(vwx230, vwx250, ty_@0) → new_lt6(vwx230, vwx250)
new_esEs29(vwx311, vwx411, app(app(ty_@2, ddf), ddg)) → new_esEs13(vwx311, vwx411, ddf, ddg)
new_esEs21(vwx312, vwx412, ty_Ordering) → new_esEs20(vwx312, vwx412)
new_lt21(vwx22, vwx24, app(app(ty_Either, ba), bb)) → new_lt7(vwx22, vwx24, ba, bb)
new_esEs4(Right(vwx310), Right(vwx410), che, app(app(ty_Either, dbe), dbf)) → new_esEs4(vwx310, vwx410, dbe, dbf)
new_primEqInt(Neg(Succ(vwx3100)), Neg(Succ(vwx4100))) → new_primEqNat0(vwx3100, vwx4100)
new_esEs24(vwx230, vwx250, app(ty_Ratio, cgg)) → new_esEs11(vwx230, vwx250, cgg)
new_esEs22(vwx311, vwx411, app(app(ty_@2, cfa), cfb)) → new_esEs13(vwx311, vwx411, cfa, cfb)
new_esEs7(vwx31, vwx41, app(ty_[], bga)) → new_esEs9(vwx31, vwx41, bga)
new_lt21(vwx22, vwx24, app(app(ty_@2, bd), be)) → new_lt10(vwx22, vwx24, bd, be)
new_esEs22(vwx311, vwx411, app(app(app(ty_@3, cef), ceg), ceh)) → new_esEs6(vwx311, vwx411, cef, ceg, ceh)
new_ltEs5(False, False) → True
new_esEs4(Right(vwx310), Right(vwx410), che, ty_@0) → new_esEs14(vwx310, vwx410)
new_esEs31(vwx22, vwx24, app(app(ty_Either, ba), bb)) → new_esEs4(vwx22, vwx24, ba, bb)
new_ltEs18(vwx231, vwx251, app(app(ty_Either, ge), gf)) → new_ltEs7(vwx231, vwx251, ge, gf)
new_esEs8(vwx30, vwx40, ty_Double) → new_esEs15(vwx30, vwx40)
new_esEs4(Left(vwx310), Left(vwx410), app(app(ty_Either, dac), dad), chf) → new_esEs4(vwx310, vwx410, dac, dad)
new_compare115(vwx22, vwx24, True, ba, bb) → LT
new_compare17(Float(vwx220, vwx221), Float(vwx240, vwx241)) → new_compare19(new_sr0(vwx220, vwx240), new_sr0(vwx221, vwx241))
new_primCompAux0(vwx220, vwx240, vwx65, bg) → new_primCompAux00(vwx65, new_compare6(vwx220, vwx240, bg))
new_primPlusNat1(Zero, Succ(vwx411000)) → Succ(vwx411000)
new_primPlusNat1(Succ(vwx7600), Zero) → Succ(vwx7600)
new_esEs24(vwx230, vwx250, ty_Bool) → new_esEs19(vwx230, vwx250)
new_lt19(vwx230, vwx250, ty_Float) → new_lt17(vwx230, vwx250)
new_ltEs7(Left(vwx230), Left(vwx250), ty_Bool, cf) → new_ltEs5(vwx230, vwx250)
new_esEs7(vwx31, vwx41, ty_Integer) → new_esEs16(vwx31, vwx41)
new_lt8(vwx230, vwx250, ty_Double) → new_lt16(vwx230, vwx250)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs31(vwx22, vwx24, app(app(app(ty_@3, bh), ca), cb)) → new_esEs6(vwx22, vwx24, bh, ca, cb)
new_esEs4(Left(vwx310), Left(vwx410), app(ty_Ratio, dab), chf) → new_esEs11(vwx310, vwx410, dab)
new_esEs19(False, False) → True
new_ltEs7(Right(vwx230), Left(vwx250), dg, cf) → False
new_ltEs19(vwx232, vwx252, app(ty_Ratio, chd)) → new_ltEs8(vwx232, vwx252, chd)
new_esEs24(vwx230, vwx250, app(app(app(ty_@3, ga), gb), gc)) → new_esEs6(vwx230, vwx250, ga, gb, gc)
new_ltEs7(Left(vwx230), Left(vwx250), app(ty_[], dc), cf) → new_ltEs13(vwx230, vwx250, dc)
new_ltEs19(vwx232, vwx252, ty_Ordering) → new_ltEs4(vwx232, vwx252)
new_ltEs20(vwx23, vwx25, ty_@0) → new_ltEs12(vwx23, vwx25)
new_esEs5(Just(vwx310), Just(vwx410), ty_Float) → new_esEs12(vwx310, vwx410)
new_esEs4(Left(vwx310), Left(vwx410), ty_Char, chf) → new_esEs18(vwx310, vwx410)
new_lt19(vwx230, vwx250, ty_Double) → new_lt16(vwx230, vwx250)
new_esEs29(vwx311, vwx411, ty_Int) → new_esEs17(vwx311, vwx411)
new_primEqInt(Neg(Zero), Neg(Succ(vwx4100))) → False
new_primEqInt(Neg(Succ(vwx3100)), Neg(Zero)) → False
new_ltEs11(Just(vwx230), Just(vwx250), app(app(ty_Either, hf), hg)) → new_ltEs7(vwx230, vwx250, hf, hg)
new_ltEs17(vwx23, vwx25) → new_fsEs(new_compare19(vwx23, vwx25))
new_compare6(vwx220, vwx240, ty_Char) → new_compare10(vwx220, vwx240)
new_esEs23(vwx310, vwx410, ty_Integer) → new_esEs16(vwx310, vwx410)
new_lt20(vwx231, vwx251, ty_Ordering) → new_lt13(vwx231, vwx251)
new_esEs21(vwx312, vwx412, app(app(ty_Either, cdb), cdc)) → new_esEs4(vwx312, vwx412, cdb, cdc)
new_compare6(vwx220, vwx240, app(app(ty_@2, bfb), bfc)) → new_compare9(vwx220, vwx240, bfb, bfc)
new_esEs7(vwx31, vwx41, app(app(ty_@2, chg), chh)) → new_esEs13(vwx31, vwx41, chg, chh)
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_ltEs18(vwx231, vwx251, ty_Ordering) → new_ltEs4(vwx231, vwx251)
new_esEs8(vwx30, vwx40, ty_@0) → new_esEs14(vwx30, vwx40)
new_ltEs4(EQ, LT) → False
new_lt8(vwx230, vwx250, app(app(ty_@2, fd), ff)) → new_lt10(vwx230, vwx250, fd, ff)
new_ltEs20(vwx23, vwx25, ty_Double) → new_ltEs15(vwx23, vwx25)
new_ltEs11(Just(vwx230), Just(vwx250), app(app(app(ty_@3, bad), bae), baf)) → new_ltEs14(vwx230, vwx250, bad, bae, baf)
new_primCmpNat0(Succ(vwx2200), Succ(vwx2400)) → new_primCmpNat0(vwx2200, vwx2400)
new_lt8(vwx230, vwx250, ty_Int) → new_lt18(vwx230, vwx250)
new_esEs26(vwx310, vwx410, ty_Integer) → new_esEs16(vwx310, vwx410)
new_compare113(vwx22, vwx24, False, bh, ca, cb) → GT
new_esEs30(vwx310, vwx410, app(app(ty_@2, deh), dfa)) → new_esEs13(vwx310, vwx410, deh, dfa)
new_ltEs18(vwx231, vwx251, ty_Bool) → new_ltEs5(vwx231, vwx251)
new_primEqInt(Pos(Succ(vwx3100)), Pos(Succ(vwx4100))) → new_primEqNat0(vwx3100, vwx4100)
new_lt8(vwx230, vwx250, ty_Integer) → new_lt4(vwx230, vwx250)
new_lt9(vwx22, vwx24, daa) → new_esEs20(new_compare8(vwx22, vwx24, daa), LT)
new_esEs29(vwx311, vwx411, app(ty_Maybe, ddh)) → new_esEs5(vwx311, vwx411, ddh)
new_esEs31(vwx22, vwx24, ty_Float) → new_esEs12(vwx22, vwx24)
new_esEs7(vwx31, vwx41, ty_Ordering) → new_esEs20(vwx31, vwx41)
new_esEs8(vwx30, vwx40, app(ty_Maybe, cag)) → new_esEs5(vwx30, vwx40, cag)
new_esEs4(Left(vwx310), Left(vwx410), ty_Bool, chf) → new_esEs19(vwx310, vwx410)
new_lt15(vwx22, vwx24, bh, ca, cb) → new_esEs20(new_compare15(vwx22, vwx24, bh, ca, cb), LT)
new_esEs24(vwx230, vwx250, ty_Int) → new_esEs17(vwx230, vwx250)
new_primEqNat0(Succ(vwx3100), Succ(vwx4100)) → new_primEqNat0(vwx3100, vwx4100)
new_ltEs18(vwx231, vwx251, ty_@0) → new_ltEs12(vwx231, vwx251)
new_lt21(vwx22, vwx24, app(ty_Maybe, bf)) → new_lt12(vwx22, vwx24, bf)
new_esEs27(vwx231, vwx251, ty_Float) → new_esEs12(vwx231, vwx251)
new_esEs10(vwx310, vwx410, ty_Double) → new_esEs15(vwx310, vwx410)
new_ltEs7(Right(vwx230), Right(vwx250), dg, app(ty_[], ee)) → new_ltEs13(vwx230, vwx250, ee)
new_primCompAux00(vwx72, LT) → LT
new_esEs8(vwx30, vwx40, app(app(ty_Either, bhh), caa)) → new_esEs4(vwx30, vwx40, bhh, caa)
new_ltEs4(GT, EQ) → False
new_ltEs19(vwx232, vwx252, app(app(ty_Either, bde), bdf)) → new_ltEs7(vwx232, vwx252, bde, bdf)
new_primCmpInt(Neg(Succ(vwx2200)), Neg(vwx240)) → new_primCmpNat0(vwx240, Succ(vwx2200))
new_ltEs11(Just(vwx230), Just(vwx250), ty_Char) → new_ltEs10(vwx230, vwx250)
new_ltEs19(vwx232, vwx252, ty_Int) → new_ltEs17(vwx232, vwx252)
new_esEs10(vwx310, vwx410, app(ty_[], bhc)) → new_esEs9(vwx310, vwx410, bhc)
new_esEs23(vwx310, vwx410, ty_Double) → new_esEs15(vwx310, vwx410)
new_ltEs13(vwx23, vwx25, bag) → new_fsEs(new_compare0(vwx23, vwx25, bag))
new_lt19(vwx230, vwx250, app(app(ty_Either, bah), bba)) → new_lt7(vwx230, vwx250, bah, bba)
new_primEqInt(Pos(Zero), Pos(Succ(vwx4100))) → False
new_primEqInt(Pos(Succ(vwx3100)), Pos(Zero)) → False
new_esEs7(vwx31, vwx41, app(app(app(ty_@3, ccf), ccg), cch)) → new_esEs6(vwx31, vwx41, ccf, ccg, cch)
new_ltEs4(EQ, EQ) → True
new_esEs20(GT, GT) → True
new_compare6(vwx220, vwx240, ty_@0) → new_compare12(vwx220, vwx240)
new_esEs21(vwx312, vwx412, ty_Bool) → new_esEs19(vwx312, vwx412)
new_primCmpNat0(Zero, Zero) → EQ
new_primCmpNat0(Succ(vwx2200), Zero) → GT
new_ltEs7(Right(vwx230), Right(vwx250), dg, ty_Ordering) → new_ltEs4(vwx230, vwx250)
new_primCmpInt(Neg(Zero), Pos(Succ(vwx2400))) → LT
new_esEs19(True, False) → False
new_esEs19(False, True) → False
new_ltEs4(GT, LT) → False
new_ltEs11(Just(vwx230), Just(vwx250), app(ty_[], bac)) → new_ltEs13(vwx230, vwx250, bac)
new_ltEs7(Right(vwx230), Right(vwx250), dg, ty_Double) → new_ltEs15(vwx230, vwx250)
new_primPlusNat1(Succ(vwx7600), Succ(vwx411000)) → Succ(Succ(new_primPlusNat1(vwx7600, vwx411000)))
new_ltEs20(vwx23, vwx25, ty_Integer) → new_ltEs6(vwx23, vwx25)
new_primEqInt(Neg(Succ(vwx3100)), Pos(vwx410)) → False
new_primEqInt(Pos(Succ(vwx3100)), Neg(vwx410)) → False
new_esEs10(vwx310, vwx410, ty_Char) → new_esEs18(vwx310, vwx410)
new_esEs27(vwx231, vwx251, app(ty_Maybe, bch)) → new_esEs5(vwx231, vwx251, bch)
new_esEs5(Just(vwx310), Just(vwx410), app(app(ty_@2, cbh), cca)) → new_esEs13(vwx310, vwx410, cbh, cca)
new_ltEs5(False, True) → True
new_compare18(Integer(vwx220), Integer(vwx240)) → new_primCmpInt(vwx220, vwx240)
new_esEs29(vwx311, vwx411, ty_@0) → new_esEs14(vwx311, vwx411)
new_esEs26(vwx310, vwx410, ty_Int) → new_esEs17(vwx310, vwx410)
new_esEs27(vwx231, vwx251, app(ty_Ratio, chc)) → new_esEs11(vwx231, vwx251, chc)
new_ltEs7(Left(vwx230), Left(vwx250), ty_Ordering, cf) → new_ltEs4(vwx230, vwx250)
new_esEs9([], [], bga) → True
new_primEqInt(Neg(Zero), Pos(Succ(vwx4100))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vwx4100))) → False
new_esEs4(Right(vwx310), Right(vwx410), che, ty_Bool) → new_esEs19(vwx310, vwx410)
new_ltEs19(vwx232, vwx252, app(app(ty_@2, bdg), bdh)) → new_ltEs9(vwx232, vwx252, bdg, bdh)
new_primCmpInt(Pos(Zero), Pos(Succ(vwx2400))) → new_primCmpNat0(Zero, Succ(vwx2400))
new_primCompAux00(vwx72, EQ) → vwx72
new_esEs8(vwx30, vwx40, ty_Int) → new_esEs17(vwx30, vwx40)
new_esEs31(vwx22, vwx24, ty_Integer) → new_esEs16(vwx22, vwx24)
new_compare24(vwx22, vwx24, True) → EQ
new_esEs31(vwx22, vwx24, ty_Bool) → new_esEs19(vwx22, vwx24)
new_ltEs18(vwx231, vwx251, app(app(ty_@2, gg), gh)) → new_ltEs9(vwx231, vwx251, gg, gh)
new_esEs23(vwx310, vwx410, ty_Bool) → new_esEs19(vwx310, vwx410)
new_esEs22(vwx311, vwx411, ty_Bool) → new_esEs19(vwx311, vwx411)
new_compare9(@2(vwx30, vwx31), @2(vwx40, vwx41), bef, beg) → new_compare28(vwx30, vwx31, vwx40, vwx41, new_asAs(new_esEs8(vwx30, vwx40, bef), new_esEs7(vwx31, vwx41, beg)), bef, beg)
new_lt19(vwx230, vwx250, app(ty_[], bbg)) → new_lt5(vwx230, vwx250, bbg)
new_esEs28(vwx230, vwx250, ty_Float) → new_esEs12(vwx230, vwx250)
new_ltEs7(Left(vwx230), Left(vwx250), ty_Double, cf) → new_ltEs15(vwx230, vwx250)
new_esEs21(vwx312, vwx412, ty_Char) → new_esEs18(vwx312, vwx412)
new_compare26(vwx22, vwx24, True, bf) → EQ
new_ltEs18(vwx231, vwx251, app(ty_Ratio, cgh)) → new_ltEs8(vwx231, vwx251, cgh)
new_esEs8(vwx30, vwx40, app(app(app(ty_@3, cab), cac), cad)) → new_esEs6(vwx30, vwx40, cab, cac, cad)
new_esEs8(vwx30, vwx40, ty_Float) → new_esEs12(vwx30, vwx40)
new_compare12(@0, @0) → EQ
new_not(False) → True
new_esEs30(vwx310, vwx410, ty_@0) → new_esEs14(vwx310, vwx410)
new_compare28(vwx22, vwx23, vwx24, vwx25, False, cc, bc) → new_compare114(vwx22, vwx23, vwx24, vwx25, new_pePe(new_lt21(vwx22, vwx24, cc), new_asAs(new_esEs31(vwx22, vwx24, cc), new_ltEs20(vwx23, vwx25, bc))), cc, bc)
new_esEs10(vwx310, vwx410, ty_@0) → new_esEs14(vwx310, vwx410)
new_primCmpInt(Pos(Succ(vwx2200)), Pos(vwx240)) → new_primCmpNat0(Succ(vwx2200), vwx240)
new_compare7(vwx22, vwx24, ba, bb) → new_compare25(vwx22, vwx24, new_esEs4(vwx22, vwx24, ba, bb), ba, bb)
new_primPlusNat0(Zero, vwx41100) → Succ(vwx41100)
new_esEs5(Just(vwx310), Just(vwx410), ty_Bool) → new_esEs19(vwx310, vwx410)
new_compare11(vwx22, vwx24, bf) → new_compare26(vwx22, vwx24, new_esEs5(vwx22, vwx24, bf), bf)
new_esEs30(vwx310, vwx410, app(app(ty_Either, dec), ded)) → new_esEs4(vwx310, vwx410, dec, ded)
new_esEs8(vwx30, vwx40, ty_Ordering) → new_esEs20(vwx30, vwx40)
new_lt20(vwx231, vwx251, app(app(app(ty_@3, bdb), bdc), bdd)) → new_lt15(vwx231, vwx251, bdb, bdc, bdd)
new_ltEs18(vwx231, vwx251, app(ty_Maybe, ha)) → new_ltEs11(vwx231, vwx251, ha)
new_esEs28(vwx230, vwx250, app(ty_[], bbg)) → new_esEs9(vwx230, vwx250, bbg)
new_lt12(vwx22, vwx24, bf) → new_esEs20(new_compare11(vwx22, vwx24, bf), LT)
new_esEs4(Right(vwx310), Right(vwx410), che, ty_Int) → new_esEs17(vwx310, vwx410)
new_ltEs7(Right(vwx230), Right(vwx250), dg, ty_@0) → new_ltEs12(vwx230, vwx250)
new_esEs27(vwx231, vwx251, ty_@0) → new_esEs14(vwx231, vwx251)
new_compare0(:(vwx220, vwx221), [], bg) → GT
new_esEs23(vwx310, vwx410, app(ty_Ratio, cfe)) → new_esEs11(vwx310, vwx410, cfe)
new_lt19(vwx230, vwx250, ty_Integer) → new_lt4(vwx230, vwx250)
new_esEs5(Just(vwx310), Just(vwx410), ty_@0) → new_esEs14(vwx310, vwx410)
new_esEs24(vwx230, vwx250, app(ty_Maybe, fg)) → new_esEs5(vwx230, vwx250, fg)
new_ltEs7(Right(vwx230), Right(vwx250), dg, app(ty_Maybe, ed)) → new_ltEs11(vwx230, vwx250, ed)
new_esEs5(Just(vwx310), Just(vwx410), ty_Int) → new_esEs17(vwx310, vwx410)
new_esEs22(vwx311, vwx411, ty_Int) → new_esEs17(vwx311, vwx411)
new_primCmpInt(Pos(Succ(vwx2200)), Neg(vwx240)) → GT
new_esEs22(vwx311, vwx411, ty_Char) → new_esEs18(vwx311, vwx411)
new_esEs21(vwx312, vwx412, ty_Integer) → new_esEs16(vwx312, vwx412)
new_ltEs11(Just(vwx230), Just(vwx250), ty_Double) → new_ltEs15(vwx230, vwx250)
new_esEs24(vwx230, vwx250, ty_Double) → new_esEs15(vwx230, vwx250)
new_compare15(vwx22, vwx24, bh, ca, cb) → new_compare27(vwx22, vwx24, new_esEs6(vwx22, vwx24, bh, ca, cb), bh, ca, cb)
new_primMulInt(Pos(vwx3110), Pos(vwx4110)) → Pos(new_primMulNat0(vwx3110, vwx4110))
new_lt17(vwx22, vwx24) → new_esEs20(new_compare17(vwx22, vwx24), LT)
new_lt16(vwx22, vwx24) → new_esEs20(new_compare16(vwx22, vwx24), LT)
new_esEs7(vwx31, vwx41, app(app(ty_Either, che), chf)) → new_esEs4(vwx31, vwx41, che, chf)
new_esEs24(vwx230, vwx250, ty_Integer) → new_esEs16(vwx230, vwx250)
new_esEs23(vwx310, vwx410, app(app(ty_Either, cff), cfg)) → new_esEs4(vwx310, vwx410, cff, cfg)
new_esEs27(vwx231, vwx251, ty_Double) → new_esEs15(vwx231, vwx251)
new_primMulInt(Neg(vwx3110), Neg(vwx4110)) → Pos(new_primMulNat0(vwx3110, vwx4110))
new_esEs20(LT, GT) → False
new_esEs20(GT, LT) → False
new_compare110(vwx22, vwx24, True) → LT
new_lt8(vwx230, vwx250, ty_Float) → new_lt17(vwx230, vwx250)
new_compare16(Double(vwx220, vwx221), Double(vwx240, vwx241)) → new_compare19(new_sr0(vwx220, vwx240), new_sr0(vwx221, vwx241))
new_esEs15(Double(vwx310, vwx311), Double(vwx410, vwx411)) → new_esEs17(new_sr0(vwx310, vwx410), new_sr0(vwx311, vwx411))
new_primEqNat0(Zero, Succ(vwx4100)) → False
new_primEqNat0(Succ(vwx3100), Zero) → False
new_ltEs19(vwx232, vwx252, app(app(app(ty_@3, bec), bed), bee)) → new_ltEs14(vwx232, vwx252, bec, bed, bee)
new_esEs17(vwx31, vwx41) → new_primEqInt(vwx31, vwx41)
new_esEs4(Right(vwx310), Right(vwx410), che, app(ty_[], dce)) → new_esEs9(vwx310, vwx410, dce)
new_compare25(vwx22, vwx24, True, ba, bb) → EQ
new_ltEs7(Left(vwx230), Left(vwx250), app(app(ty_Either, cd), ce), cf) → new_ltEs7(vwx230, vwx250, cd, ce)
new_compare110(vwx22, vwx24, False) → GT
new_esEs12(Float(vwx310, vwx311), Float(vwx410, vwx411)) → new_esEs17(new_sr0(vwx310, vwx410), new_sr0(vwx311, vwx411))
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs28(vwx230, vwx250, app(app(app(ty_@3, bbh), bca), bcb)) → new_esEs6(vwx230, vwx250, bbh, bca, bcb)
new_esEs24(vwx230, vwx250, app(app(ty_Either, fa), fb)) → new_esEs4(vwx230, vwx250, fa, fb)
new_lt8(vwx230, vwx250, ty_Bool) → new_lt14(vwx230, vwx250)
new_compare113(vwx22, vwx24, True, bh, ca, cb) → LT
new_esEs27(vwx231, vwx251, app(app(ty_Either, bcd), bce)) → new_esEs4(vwx231, vwx251, bcd, bce)
new_ltEs7(Right(vwx230), Right(vwx250), dg, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs14(vwx230, vwx250, ef, eg, eh)
new_esEs27(vwx231, vwx251, app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs6(vwx231, vwx251, bdb, bdc, bdd)
new_ltEs6(vwx23, vwx25) → new_fsEs(new_compare18(vwx23, vwx25))
new_esEs4(Right(vwx310), Right(vwx410), che, ty_Integer) → new_esEs16(vwx310, vwx410)
new_esEs7(vwx31, vwx41, ty_Double) → new_esEs15(vwx31, vwx41)
new_esEs27(vwx231, vwx251, ty_Integer) → new_esEs16(vwx231, vwx251)
new_esEs27(vwx231, vwx251, ty_Int) → new_esEs17(vwx231, vwx251)
new_esEs10(vwx310, vwx410, ty_Int) → new_esEs17(vwx310, vwx410)
new_esEs23(vwx310, vwx410, ty_Int) → new_esEs17(vwx310, vwx410)
new_ltEs20(vwx23, vwx25, ty_Int) → new_ltEs17(vwx23, vwx25)
new_ltEs20(vwx23, vwx25, app(ty_Ratio, dfd)) → new_ltEs8(vwx23, vwx25, dfd)
new_ltEs4(LT, GT) → True
new_esEs25(vwx311, vwx411, ty_Integer) → new_esEs16(vwx311, vwx411)
new_lt21(vwx22, vwx24, ty_Integer) → new_lt4(vwx22, vwx24)
new_esEs10(vwx310, vwx410, app(ty_Maybe, bhb)) → new_esEs5(vwx310, vwx410, bhb)
new_primCmpInt(Neg(Zero), Neg(Succ(vwx2400))) → new_primCmpNat0(Succ(vwx2400), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vwx2400))) → GT
new_esEs30(vwx310, vwx410, ty_Char) → new_esEs18(vwx310, vwx410)
new_lt10(vwx22, vwx24, bd, be) → new_esEs20(new_compare9(vwx22, vwx24, bd, be), LT)
new_esEs4(Right(vwx310), Right(vwx410), che, ty_Double) → new_esEs15(vwx310, vwx410)
new_esEs29(vwx311, vwx411, ty_Bool) → new_esEs19(vwx311, vwx411)
new_esEs5(Just(vwx310), Just(vwx410), app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs6(vwx310, vwx410, cbe, cbf, cbg)
new_sr0(vwx311, vwx411) → new_primMulInt(vwx311, vwx411)
new_ltEs16(vwx23, vwx25) → new_fsEs(new_compare17(vwx23, vwx25))
new_esEs21(vwx312, vwx412, ty_Float) → new_esEs12(vwx312, vwx412)
new_esEs27(vwx231, vwx251, app(ty_[], bda)) → new_esEs9(vwx231, vwx251, bda)
new_compare26(vwx22, vwx24, False, bf) → new_compare112(vwx22, vwx24, new_ltEs11(vwx22, vwx24, bf), bf)
new_lt20(vwx231, vwx251, ty_Double) → new_lt16(vwx231, vwx251)
new_esEs16(Integer(vwx310), Integer(vwx410)) → new_primEqInt(vwx310, vwx410)
new_esEs31(vwx22, vwx24, ty_Int) → new_esEs17(vwx22, vwx24)
new_esEs27(vwx231, vwx251, app(app(ty_@2, bcf), bcg)) → new_esEs13(vwx231, vwx251, bcf, bcg)
new_ltEs11(Just(vwx230), Just(vwx250), ty_@0) → new_ltEs12(vwx230, vwx250)
new_esEs8(vwx30, vwx40, ty_Bool) → new_esEs19(vwx30, vwx40)
new_esEs23(vwx310, vwx410, ty_@0) → new_esEs14(vwx310, vwx410)
new_esEs30(vwx310, vwx410, ty_Ordering) → new_esEs20(vwx310, vwx410)
new_fsEs(vwx58) → new_not(new_esEs20(vwx58, GT))
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_ltEs4(LT, EQ) → True
new_ltEs7(Right(vwx230), Right(vwx250), dg, ty_Char) → new_ltEs10(vwx230, vwx250)
new_esEs21(vwx312, vwx412, ty_@0) → new_esEs14(vwx312, vwx412)
new_esEs10(vwx310, vwx410, ty_Float) → new_esEs12(vwx310, vwx410)
new_ltEs7(Left(vwx230), Left(vwx250), ty_Char, cf) → new_ltEs10(vwx230, vwx250)
new_lt19(vwx230, vwx250, ty_Bool) → new_lt14(vwx230, vwx250)
new_esEs21(vwx312, vwx412, app(app(ty_@2, cdg), cdh)) → new_esEs13(vwx312, vwx412, cdg, cdh)
new_compare23(vwx22, vwx24, False) → new_compare110(vwx22, vwx24, new_ltEs5(vwx22, vwx24))
new_lt21(vwx22, vwx24, ty_Char) → new_lt11(vwx22, vwx24)
new_lt19(vwx230, vwx250, ty_Ordering) → new_lt13(vwx230, vwx250)
new_ltEs7(Right(vwx230), Right(vwx250), dg, app(app(ty_Either, dh), ea)) → new_ltEs7(vwx230, vwx250, dh, ea)
new_esEs28(vwx230, vwx250, ty_Int) → new_esEs17(vwx230, vwx250)
new_asAs(False, vwx50) → False
new_compare28(vwx22, vwx23, vwx24, vwx25, True, cc, bc) → EQ
new_esEs10(vwx310, vwx410, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs6(vwx310, vwx410, bge, bgf, bgg)
new_ltEs18(vwx231, vwx251, ty_Double) → new_ltEs15(vwx231, vwx251)
new_esEs4(Right(vwx310), Right(vwx410), che, ty_Float) → new_esEs12(vwx310, vwx410)
new_primMulInt(Neg(vwx3110), Pos(vwx4110)) → Neg(new_primMulNat0(vwx3110, vwx4110))
new_primMulInt(Pos(vwx3110), Neg(vwx4110)) → Neg(new_primMulNat0(vwx3110, vwx4110))
new_esEs22(vwx311, vwx411, ty_Float) → new_esEs12(vwx311, vwx411)
new_primMulNat0(Succ(vwx31100), Zero) → Zero
new_primMulNat0(Zero, Succ(vwx41100)) → Zero
new_esEs13(@2(vwx310, vwx311), @2(vwx410, vwx411), chg, chh) → new_asAs(new_esEs30(vwx310, vwx410, chg), new_esEs29(vwx311, vwx411, chh))
new_esEs23(vwx310, vwx410, app(app(app(ty_@3, cfh), cga), cgb)) → new_esEs6(vwx310, vwx410, cfh, cga, cgb)
new_lt21(vwx22, vwx24, ty_Ordering) → new_lt13(vwx22, vwx24)
new_lt4(vwx22, vwx24) → new_esEs20(new_compare18(vwx22, vwx24), LT)
new_esEs24(vwx230, vwx250, ty_Ordering) → new_esEs20(vwx230, vwx250)
new_esEs9(:(vwx310, vwx311), :(vwx410, vwx411), bga) → new_asAs(new_esEs10(vwx310, vwx410, bga), new_esEs9(vwx311, vwx411, bga))
new_compare24(vwx22, vwx24, False) → new_compare111(vwx22, vwx24, new_ltEs4(vwx22, vwx24))
new_lt19(vwx230, vwx250, app(ty_Maybe, bbf)) → new_lt12(vwx230, vwx250, bbf)
new_esEs31(vwx22, vwx24, ty_Ordering) → new_esEs20(vwx22, vwx24)
new_ltEs7(Left(vwx230), Left(vwx250), ty_Float, cf) → new_ltEs16(vwx230, vwx250)
new_esEs4(Left(vwx310), Left(vwx410), app(ty_Maybe, dbb), chf) → new_esEs5(vwx310, vwx410, dbb)
new_ltEs11(Just(vwx230), Just(vwx250), ty_Integer) → new_ltEs6(vwx230, vwx250)
new_esEs28(vwx230, vwx250, app(app(ty_Either, bah), bba)) → new_esEs4(vwx230, vwx250, bah, bba)
new_ltEs11(Just(vwx230), Just(vwx250), app(ty_Ratio, dcg)) → new_ltEs8(vwx230, vwx250, dcg)
new_esEs23(vwx310, vwx410, app(ty_Maybe, cge)) → new_esEs5(vwx310, vwx410, cge)
new_esEs8(vwx30, vwx40, app(ty_Ratio, bhg)) → new_esEs11(vwx30, vwx40, bhg)
new_compare6(vwx220, vwx240, app(ty_Maybe, bfd)) → new_compare11(vwx220, vwx240, bfd)
new_lt18(vwx22, vwx24) → new_esEs20(new_compare19(vwx22, vwx24), LT)
new_ltEs18(vwx231, vwx251, ty_Int) → new_ltEs17(vwx231, vwx251)
new_ltEs9(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, fc) → new_pePe(new_lt8(vwx230, vwx250, gd), new_asAs(new_esEs24(vwx230, vwx250, gd), new_ltEs18(vwx231, vwx251, fc)))
new_esEs4(Left(vwx310), Left(vwx410), ty_Int, chf) → new_esEs17(vwx310, vwx410)
new_ltEs7(Left(vwx230), Left(vwx250), app(ty_Maybe, db), cf) → new_ltEs11(vwx230, vwx250, db)
new_ltEs7(Left(vwx230), Left(vwx250), app(app(app(ty_@3, dd), de), df), cf) → new_ltEs14(vwx230, vwx250, dd, de, df)
new_lt21(vwx22, vwx24, ty_Double) → new_lt16(vwx22, vwx24)
new_compare10(Char(vwx220), Char(vwx240)) → new_primCmpNat0(vwx220, vwx240)
new_esEs5(Just(vwx310), Nothing, cba) → False
new_esEs5(Nothing, Just(vwx410), cba) → False
new_esEs4(Right(vwx310), Right(vwx410), che, app(ty_Ratio, dbd)) → new_esEs11(vwx310, vwx410, dbd)
new_esEs4(Right(vwx310), Right(vwx410), che, ty_Char) → new_esEs18(vwx310, vwx410)
new_esEs29(vwx311, vwx411, ty_Double) → new_esEs15(vwx311, vwx411)
new_ltEs19(vwx232, vwx252, ty_Bool) → new_ltEs5(vwx232, vwx252)
new_esEs5(Just(vwx310), Just(vwx410), ty_Double) → new_esEs15(vwx310, vwx410)
new_ltEs20(vwx23, vwx25, app(app(ty_Either, dg), cf)) → new_ltEs7(vwx23, vwx25, dg, cf)
new_esEs9(:(vwx310, vwx311), [], bga) → False
new_esEs9([], :(vwx410, vwx411), bga) → False
new_esEs7(vwx31, vwx41, app(ty_Maybe, cba)) → new_esEs5(vwx31, vwx41, cba)
new_lt8(vwx230, vwx250, app(ty_Ratio, cgg)) → new_lt9(vwx230, vwx250, cgg)
new_esEs5(Just(vwx310), Just(vwx410), app(ty_Ratio, cbb)) → new_esEs11(vwx310, vwx410, cbb)
new_ltEs4(LT, LT) → True
new_ltEs11(Just(vwx230), Just(vwx250), app(app(ty_@2, hh), baa)) → new_ltEs9(vwx230, vwx250, hh, baa)
new_ltEs7(Left(vwx230), Left(vwx250), app(ty_Ratio, ccd), cf) → new_ltEs8(vwx230, vwx250, ccd)
new_ltEs18(vwx231, vwx251, ty_Float) → new_ltEs16(vwx231, vwx251)
new_esEs10(vwx310, vwx410, ty_Integer) → new_esEs16(vwx310, vwx410)
new_esEs22(vwx311, vwx411, ty_@0) → new_esEs14(vwx311, vwx411)
new_esEs5(Nothing, Nothing, cba) → True
new_esEs4(Left(vwx310), Left(vwx410), ty_Ordering, chf) → new_esEs20(vwx310, vwx410)
new_esEs28(vwx230, vwx250, app(ty_Maybe, bbf)) → new_esEs5(vwx230, vwx250, bbf)
new_esEs6(@3(vwx310, vwx311, vwx312), @3(vwx410, vwx411, vwx412), ccf, ccg, cch) → new_asAs(new_esEs23(vwx310, vwx410, ccf), new_asAs(new_esEs22(vwx311, vwx411, ccg), new_esEs21(vwx312, vwx412, cch)))
new_esEs29(vwx311, vwx411, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs6(vwx311, vwx411, ddc, ddd, dde)
new_esEs31(vwx22, vwx24, ty_Char) → new_esEs18(vwx22, vwx24)
new_esEs5(Just(vwx310), Just(vwx410), ty_Integer) → new_esEs16(vwx310, vwx410)
new_compare112(vwx22, vwx24, False, bf) → GT
new_esEs22(vwx311, vwx411, ty_Integer) → new_esEs16(vwx311, vwx411)
new_esEs31(vwx22, vwx24, app(ty_Ratio, daa)) → new_esEs11(vwx22, vwx24, daa)
new_lt21(vwx22, vwx24, app(app(app(ty_@3, bh), ca), cb)) → new_lt15(vwx22, vwx24, bh, ca, cb)
new_ltEs19(vwx232, vwx252, ty_Double) → new_ltEs15(vwx232, vwx252)
new_esEs28(vwx230, vwx250, app(ty_Ratio, chb)) → new_esEs11(vwx230, vwx250, chb)
new_esEs4(Left(vwx310), Left(vwx410), ty_Double, chf) → new_esEs15(vwx310, vwx410)
new_lt19(vwx230, vwx250, ty_Char) → new_lt11(vwx230, vwx250)
new_compare114(vwx40, vwx41, vwx42, vwx43, True, bhe, bhf) → LT
new_esEs29(vwx311, vwx411, ty_Integer) → new_esEs16(vwx311, vwx411)
new_ltEs12(vwx23, vwx25) → new_fsEs(new_compare12(vwx23, vwx25))
new_esEs31(vwx22, vwx24, ty_@0) → new_esEs14(vwx22, vwx24)
new_lt21(vwx22, vwx24, ty_@0) → new_lt6(vwx22, vwx24)
new_lt19(vwx230, vwx250, ty_@0) → new_lt6(vwx230, vwx250)
new_ltEs7(Right(vwx230), Right(vwx250), dg, ty_Int) → new_ltEs17(vwx230, vwx250)
new_esEs22(vwx311, vwx411, app(ty_Maybe, cfc)) → new_esEs5(vwx311, vwx411, cfc)
new_esEs21(vwx312, vwx412, app(ty_Maybe, cea)) → new_esEs5(vwx312, vwx412, cea)
new_primPlusNat1(Zero, Zero) → Zero
new_compare0([], :(vwx240, vwx241), bg) → LT
new_esEs7(vwx31, vwx41, ty_Char) → new_esEs18(vwx31, vwx41)
new_esEs8(vwx30, vwx40, app(app(ty_@2, cae), caf)) → new_esEs13(vwx30, vwx40, cae, caf)
new_esEs21(vwx312, vwx412, app(app(app(ty_@3, cdd), cde), cdf)) → new_esEs6(vwx312, vwx412, cdd, cde, cdf)
new_asAs(True, vwx50) → vwx50
new_compare115(vwx22, vwx24, False, ba, bb) → GT
new_primMulNat0(Succ(vwx31100), Succ(vwx41100)) → new_primPlusNat0(new_primMulNat0(vwx31100, Succ(vwx41100)), vwx41100)
new_ltEs11(Nothing, Nothing, dcf) → True
new_esEs4(Left(vwx310), Right(vwx410), che, chf) → False
new_esEs4(Right(vwx310), Left(vwx410), che, chf) → False
new_esEs30(vwx310, vwx410, app(ty_Maybe, dfb)) → new_esEs5(vwx310, vwx410, dfb)
new_esEs29(vwx311, vwx411, ty_Float) → new_esEs12(vwx311, vwx411)
new_esEs10(vwx310, vwx410, app(ty_Ratio, bgb)) → new_esEs11(vwx310, vwx410, bgb)
new_esEs4(Right(vwx310), Right(vwx410), che, ty_Ordering) → new_esEs20(vwx310, vwx410)
new_esEs29(vwx311, vwx411, app(ty_Ratio, dch)) → new_esEs11(vwx311, vwx411, dch)
new_esEs4(Left(vwx310), Left(vwx410), app(app(app(ty_@3, dae), daf), dag), chf) → new_esEs6(vwx310, vwx410, dae, daf, dag)
new_compare27(vwx22, vwx24, True, bh, ca, cb) → EQ
new_ltEs11(Just(vwx230), Just(vwx250), ty_Float) → new_ltEs16(vwx230, vwx250)
new_esEs4(Left(vwx310), Left(vwx410), app(app(ty_@2, dah), dba), chf) → new_esEs13(vwx310, vwx410, dah, dba)
new_esEs7(vwx31, vwx41, ty_Bool) → new_esEs19(vwx31, vwx41)
new_esEs28(vwx230, vwx250, ty_Ordering) → new_esEs20(vwx230, vwx250)
new_lt20(vwx231, vwx251, app(ty_[], bda)) → new_lt5(vwx231, vwx251, bda)
new_ltEs7(Right(vwx230), Right(vwx250), dg, ty_Float) → new_ltEs16(vwx230, vwx250)
new_esEs30(vwx310, vwx410, app(ty_[], dfc)) → new_esEs9(vwx310, vwx410, dfc)
new_esEs7(vwx31, vwx41, app(ty_Ratio, cha)) → new_esEs11(vwx31, vwx41, cha)
new_esEs27(vwx231, vwx251, ty_Char) → new_esEs18(vwx231, vwx251)
new_ltEs4(GT, GT) → True
new_esEs28(vwx230, vwx250, ty_Char) → new_esEs18(vwx230, vwx250)
new_esEs31(vwx22, vwx24, app(app(ty_@2, bd), be)) → new_esEs13(vwx22, vwx24, bd, be)
new_compare6(vwx220, vwx240, app(ty_Ratio, bhd)) → new_compare8(vwx220, vwx240, bhd)
new_lt21(vwx22, vwx24, ty_Int) → new_lt18(vwx22, vwx24)
new_ltEs20(vwx23, vwx25, ty_Char) → new_ltEs10(vwx23, vwx25)
new_primCompAux00(vwx72, GT) → GT
new_esEs4(Left(vwx310), Left(vwx410), ty_@0, chf) → new_esEs14(vwx310, vwx410)
new_lt8(vwx230, vwx250, app(app(ty_Either, fa), fb)) → new_lt7(vwx230, vwx250, fa, fb)
new_esEs30(vwx310, vwx410, app(app(app(ty_@3, dee), def), deg)) → new_esEs6(vwx310, vwx410, dee, def, deg)
new_esEs21(vwx312, vwx412, app(ty_Ratio, cda)) → new_esEs11(vwx312, vwx412, cda)
new_esEs5(Just(vwx310), Just(vwx410), app(app(ty_Either, cbc), cbd)) → new_esEs4(vwx310, vwx410, cbc, cbd)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_compare114(vwx40, vwx41, vwx42, vwx43, False, bhe, bhf) → GT
new_lt20(vwx231, vwx251, app(ty_Maybe, bch)) → new_lt12(vwx231, vwx251, bch)
new_esEs27(vwx231, vwx251, ty_Bool) → new_esEs19(vwx231, vwx251)
new_esEs24(vwx230, vwx250, ty_Char) → new_esEs18(vwx230, vwx250)
new_ltEs7(Left(vwx230), Left(vwx250), ty_@0, cf) → new_ltEs12(vwx230, vwx250)
new_esEs21(vwx312, vwx412, app(ty_[], ceb)) → new_esEs9(vwx312, vwx412, ceb)
new_ltEs7(Left(vwx230), Left(vwx250), ty_Int, cf) → new_ltEs17(vwx230, vwx250)
new_esEs22(vwx311, vwx411, app(ty_Ratio, cec)) → new_esEs11(vwx311, vwx411, cec)
new_ltEs19(vwx232, vwx252, app(ty_[], beb)) → new_ltEs13(vwx232, vwx252, beb)
new_compare8(:%(vwx220, vwx221), :%(vwx240, vwx241), ty_Int) → new_compare19(new_sr0(vwx220, vwx241), new_sr0(vwx240, vwx221))
new_ltEs11(Just(vwx230), Nothing, dcf) → False
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs5(Just(vwx310), Just(vwx410), ty_Ordering) → new_esEs20(vwx310, vwx410)
new_lt8(vwx230, vwx250, app(ty_Maybe, fg)) → new_lt12(vwx230, vwx250, fg)
new_primCmpInt(Neg(Succ(vwx2200)), Pos(vwx240)) → LT
new_esEs30(vwx310, vwx410, ty_Bool) → new_esEs19(vwx310, vwx410)
new_lt21(vwx22, vwx24, ty_Float) → new_lt17(vwx22, vwx24)
new_esEs7(vwx31, vwx41, ty_Float) → new_esEs12(vwx31, vwx41)
new_ltEs18(vwx231, vwx251, app(app(app(ty_@3, hc), hd), he)) → new_ltEs14(vwx231, vwx251, hc, hd, he)
new_not(True) → False
The set Q consists of the following terms:
new_lt20(x0, x1, ty_@0)
new_esEs4(Left(x0), Left(x1), ty_Float, x2)
new_ltEs19(x0, x1, ty_Double)
new_esEs4(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_asAs(True, x0)
new_esEs5(Just(x0), Just(x1), ty_Ordering)
new_compare13(x0, x1)
new_esEs31(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_@0)
new_esEs5(Just(x0), Just(x1), ty_Char)
new_compare25(x0, x1, False, x2, x3)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_compare6(x0, x1, app(ty_Maybe, x2))
new_ltEs11(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt19(x0, x1, ty_Int)
new_esEs30(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, app(ty_[], x2))
new_ltEs10(x0, x1)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs14(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs10(x0, x1, ty_Char)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_ltEs20(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Float)
new_compare0([], [], x0)
new_esEs31(x0, x1, ty_Integer)
new_ltEs18(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs18(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs17(x0, x1)
new_lt21(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Char)
new_esEs24(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Double)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_compare27(x0, x1, False, x2, x3, x4)
new_fsEs(x0)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs10(x0, x1, ty_Int)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs23(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs7(x0, x1, ty_Float)
new_ltEs11(Just(x0), Just(x1), ty_Bool)
new_ltEs7(Right(x0), Right(x1), x2, ty_Integer)
new_compare11(x0, x1, x2)
new_esEs5(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt6(x0, x1)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs5(Just(x0), Just(x1), ty_Int)
new_compare17(Float(x0, x1), Float(x2, x3))
new_esEs7(x0, x1, ty_Ordering)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(x0, x1, ty_Ordering)
new_ltEs8(x0, x1, x2)
new_compare6(x0, x1, ty_Int)
new_compare0(:(x0, x1), :(x2, x3), x4)
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(x0, x1, False)
new_sr0(x0, x1)
new_ltEs7(Right(x0), Right(x1), x2, ty_Bool)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Double)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare115(x0, x1, False, x2, x3)
new_ltEs7(Left(x0), Left(x1), ty_Integer, x2)
new_compare18(Integer(x0), Integer(x1))
new_esEs5(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Integer)
new_ltEs5(False, False)
new_ltEs7(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs31(x0, x1, ty_Int)
new_compare6(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, ty_Double)
new_lt8(x0, x1, ty_Float)
new_primCompAux00(x0, GT)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Int)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs11(Just(x0), Nothing, x1)
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_compare6(x0, x1, ty_@0)
new_lt21(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Int)
new_esEs7(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs19(True, True)
new_ltEs7(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primPlusNat1(Succ(x0), Zero)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, ty_@0)
new_esEs8(x0, x1, ty_Int)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_[], x2))
new_ltEs7(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_compare14(x0, x1)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Zero, Zero)
new_esEs8(x0, x1, ty_@0)
new_ltEs16(x0, x1)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_ltEs11(Nothing, Nothing, x0)
new_lt16(x0, x1)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_lt18(x0, x1)
new_ltEs18(x0, x1, ty_@0)
new_lt21(x0, x1, ty_Char)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Int)
new_esEs4(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(x0, x1, ty_Bool)
new_compare12(@0, @0)
new_primEqNat0(Succ(x0), Zero)
new_esEs22(x0, x1, app(ty_[], x2))
new_ltEs11(Just(x0), Just(x1), ty_@0)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Zero)
new_esEs27(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Bool)
new_lt7(x0, x1, x2, x3)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs5(Nothing, Just(x0), x1)
new_esEs22(x0, x1, ty_@0)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs7(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs11(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs4(GT, GT)
new_esEs27(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Char)
new_compare27(x0, x1, True, x2, x3, x4)
new_esEs24(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, ty_Ordering)
new_lt19(x0, x1, app(ty_Ratio, x2))
new_lt10(x0, x1, x2, x3)
new_lt20(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs4(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare23(x0, x1, True)
new_esEs5(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs7(Right(x0), Right(x1), x2, ty_Int)
new_compare113(x0, x1, False, x2, x3, x4)
new_esEs8(x0, x1, ty_Bool)
new_ltEs11(Just(x0), Just(x1), ty_Double)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(@0, @0)
new_compare114(x0, x1, x2, x3, False, x4, x5)
new_ltEs11(Just(x0), Just(x1), ty_Ordering)
new_esEs20(EQ, GT)
new_esEs20(GT, EQ)
new_esEs5(Just(x0), Nothing, x1)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Bool)
new_ltEs7(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs7(x0, x1, ty_@0)
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_lt8(x0, x1, ty_Integer)
new_esEs7(x0, x1, ty_Char)
new_esEs8(x0, x1, ty_Float)
new_lt8(x0, x1, ty_@0)
new_esEs4(Left(x0), Right(x1), x2, x3)
new_esEs4(Right(x0), Left(x1), x2, x3)
new_compare26(x0, x1, True, x2)
new_esEs9(:(x0, x1), :(x2, x3), x4)
new_lt19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs12(Float(x0, x1), Float(x2, x3))
new_ltEs7(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs8(x0, x1, ty_Integer)
new_esEs4(Left(x0), Left(x1), ty_Double, x2)
new_ltEs7(Left(x0), Left(x1), ty_Float, x2)
new_esEs28(x0, x1, ty_Integer)
new_lt8(x0, x1, ty_Int)
new_esEs5(Nothing, Nothing, x0)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt19(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_lt21(x0, x1, ty_Float)
new_lt19(x0, x1, ty_Integer)
new_compare110(x0, x1, True)
new_ltEs7(Right(x0), Right(x1), x2, ty_Double)
new_esEs27(x0, x1, app(ty_[], x2))
new_ltEs18(x0, x1, ty_Double)
new_lt19(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Left(x0), Left(x1), ty_Bool, x2)
new_lt19(x0, x1, ty_Char)
new_esEs20(LT, EQ)
new_esEs20(EQ, LT)
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Char)
new_esEs19(False, True)
new_esEs19(True, False)
new_ltEs7(Right(x0), Right(x1), x2, ty_Char)
new_ltEs11(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Float)
new_lt12(x0, x1, x2)
new_esEs5(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs18(x0, x1, ty_Bool)
new_ltEs13(x0, x1, x2)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_ltEs11(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Integer)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs9([], [], x0)
new_esEs4(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(:%(x0, x1), :%(x2, x3), ty_Int)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs21(x0, x1, ty_Float)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs4(Left(x0), Left(x1), ty_@0, x2)
new_lt8(x0, x1, ty_Bool)
new_compare6(x0, x1, app(ty_Ratio, x2))
new_lt8(x0, x1, app(ty_Ratio, x2))
new_ltEs4(EQ, EQ)
new_ltEs7(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Zero)
new_primCmpNat0(Succ(x0), Zero)
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, ty_Double)
new_ltEs11(Nothing, Just(x0), x1)
new_ltEs20(x0, x1, ty_@0)
new_compare6(x0, x1, ty_Float)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Double)
new_esEs4(Left(x0), Left(x1), ty_Integer, x2)
new_lt17(x0, x1)
new_esEs30(x0, x1, ty_Int)
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Left(x0), Left(x1), ty_Int, x2)
new_esEs5(Just(x0), Just(x1), ty_Float)
new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs4(LT, EQ)
new_esEs30(x0, x1, ty_Float)
new_ltEs4(EQ, LT)
new_esEs25(x0, x1, ty_Int)
new_esEs31(x0, x1, ty_Float)
new_esEs24(x0, x1, ty_Integer)
new_compare6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Right(x0), Right(x1), x2, ty_Double)
new_ltEs19(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Char)
new_esEs5(Just(x0), Just(x1), ty_Integer)
new_esEs21(x0, x1, ty_@0)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_pePe(True, x0)
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_ltEs18(x0, x1, ty_Int)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_compare0([], :(x0, x1), x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt4(x0, x1)
new_esEs23(x0, x1, ty_@0)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Integer)
new_esEs10(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Int)
new_esEs5(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_primCompAux0(x0, x1, x2, x3)
new_esEs31(x0, x1, ty_Double)
new_esEs19(False, False)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt11(x0, x1)
new_esEs7(x0, x1, ty_Int)
new_pePe(False, x0)
new_esEs10(x0, x1, ty_Ordering)
new_lt19(x0, x1, ty_Double)
new_lt5(x0, x1, x2)
new_esEs4(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs9(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs18(x0, x1, ty_Integer)
new_ltEs7(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare15(x0, x1, x2, x3, x4)
new_esEs20(LT, LT)
new_lt19(x0, x1, app(ty_[], x2))
new_ltEs7(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs7(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Ordering)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs31(x0, x1, app(ty_[], x2))
new_ltEs7(Right(x0), Left(x1), x2, x3)
new_ltEs7(Left(x0), Right(x1), x2, x3)
new_esEs24(x0, x1, ty_Float)
new_lt8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs4(LT, LT)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs11(Just(x0), Just(x1), app(ty_[], x2))
new_esEs23(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Ordering)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(GT, LT)
new_esEs20(LT, GT)
new_esEs9([], :(x0, x1), x2)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCompAux00(x0, EQ)
new_compare6(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs27(x0, x1, ty_Float)
new_esEs15(Double(x0, x1), Double(x2, x3))
new_ltEs20(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_@0)
new_compare28(x0, x1, x2, x3, True, x4, x5)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Ordering)
new_compare112(x0, x1, True, x2)
new_esEs30(x0, x1, ty_Bool)
new_esEs21(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Integer)
new_compare111(x0, x1, False)
new_compare112(x0, x1, False, x2)
new_ltEs7(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Char)
new_ltEs15(x0, x1)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(:(x0, x1), [], x2)
new_ltEs18(x0, x1, app(ty_Maybe, x2))
new_lt21(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs13(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs10(x0, x1, ty_Float)
new_ltEs11(Just(x0), Just(x1), ty_Char)
new_ltEs19(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Double)
new_esEs20(GT, GT)
new_lt13(x0, x1)
new_primCmpNat0(Zero, Zero)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs20(x0, x1, ty_Float)
new_lt19(x0, x1, ty_@0)
new_esEs21(x0, x1, ty_Double)
new_compare0(:(x0, x1), [], x2)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare7(x0, x1, x2, x3)
new_compare28(x0, x1, x2, x3, False, x4, x5)
new_esEs5(Just(x0), Just(x1), ty_Bool)
new_esEs4(Left(x0), Left(x1), ty_Int, x2)
new_compare9(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs18(Char(x0), Char(x1))
new_esEs28(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Int)
new_compare6(x0, x1, app(ty_[], x2))
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_lt19(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Bool)
new_compare10(Char(x0), Char(x1))
new_esEs4(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_@0)
new_esEs5(Just(x0), Just(x1), ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_lt8(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs11(Just(x0), Just(x1), ty_Int)
new_ltEs11(Just(x0), Just(x1), ty_Float)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs21(x0, x1, app(ty_[], x2))
new_compare6(x0, x1, ty_Double)
new_lt8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Float)
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare6(x0, x1, ty_Bool)
new_ltEs5(True, True)
new_ltEs11(Just(x0), Just(x1), ty_Integer)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs21(x0, x1, ty_Char)
new_ltEs4(EQ, GT)
new_ltEs4(GT, EQ)
new_lt8(x0, x1, ty_Double)
new_ltEs7(Left(x0), Left(x1), ty_Char, x2)
new_ltEs18(x0, x1, app(app(ty_Either, x2), x3))
new_not(True)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Right(x0), Right(x1), x2, ty_Ordering)
new_lt8(x0, x1, ty_Char)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_ltEs7(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_compare113(x0, x1, True, x2, x3, x4)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primPlusNat0(Succ(x0), x1)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_not(False)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare110(x0, x1, False)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_@0)
new_lt8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(Right(x0), Right(x1), x2, ty_Float)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_compare24(x0, x1, True)
new_esEs5(Just(x0), Just(x1), ty_Double)
new_ltEs12(x0, x1)
new_esEs20(EQ, EQ)
new_compare25(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_Char)
new_esEs4(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs7(Right(x0), Right(x1), x2, ty_@0)
new_esEs8(x0, x1, ty_Double)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs31(x0, x1, ty_Char)
new_compare6(x0, x1, ty_Char)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs7(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs31(x0, x1, ty_Bool)
new_esEs22(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Integer)
new_esEs30(x0, x1, ty_Ordering)
new_primMulNat0(Zero, Succ(x0))
new_compare115(x0, x1, True, x2, x3)
new_esEs4(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs10(x0, x1, ty_@0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt15(x0, x1, x2, x3, x4)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs17(x0, x1)
new_esEs4(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, ty_Bool)
new_esEs4(Right(x0), Right(x1), x2, ty_@0)
new_compare16(Double(x0, x1), Double(x2, x3))
new_esEs28(x0, x1, ty_Double)
new_esEs4(Right(x0), Right(x1), x2, ty_Int)
new_esEs4(Right(x0), Right(x1), x2, ty_Char)
new_esEs24(x0, x1, ty_Ordering)
new_compare26(x0, x1, False, x2)
new_esEs22(x0, x1, ty_Double)
new_esEs10(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Double)
new_lt19(x0, x1, ty_Float)
new_lt21(x0, x1, app(ty_Maybe, x2))
new_ltEs6(x0, x1)
new_lt21(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs22(x0, x1, ty_Integer)
new_esEs27(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_lt21(x0, x1, ty_Ordering)
new_ltEs7(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs4(Right(x0), Right(x1), x2, ty_Integer)
new_lt8(x0, x1, app(ty_Maybe, x2))
new_ltEs11(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_primEqNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Integer)
new_lt21(x0, x1, ty_Bool)
new_esEs10(x0, x1, ty_Double)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Char)
new_primPlusNat0(Zero, x0)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs16(Integer(x0), Integer(x1))
new_compare8(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs4(Left(x0), Left(x1), ty_Bool, x2)
new_lt14(x0, x1)
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_asAs(False, x0)
new_primCompAux00(x0, LT)
new_ltEs18(x0, x1, ty_Float)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs29(x0, x1, ty_Ordering)
new_ltEs4(GT, LT)
new_ltEs4(LT, GT)
new_esEs4(Left(x0), Left(x1), ty_Char, x2)
new_ltEs5(True, False)
new_ltEs5(False, True)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs7(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt9(x0, x1, x2)
new_esEs4(Right(x0), Right(x1), x2, ty_Bool)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare24(x0, x1, False)
new_esEs8(x0, x1, ty_Ordering)
new_lt8(x0, x1, ty_Ordering)
new_compare114(x0, x1, x2, x3, True, x4, x5)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_compare111(x0, x1, True)
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:
- new_ltEs2(vwx23, vwx25, bag) → new_compare1(vwx23, vwx25, bag)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3
- new_compare(@2(vwx30, vwx31), @2(vwx40, vwx41), bef, beg) → new_compare2(vwx30, vwx31, vwx40, vwx41, new_asAs(new_esEs8(vwx30, vwx40, bef), new_esEs7(vwx31, vwx41, beg)), bef, beg)
The graph contains the following edges 1 > 1, 1 > 2, 2 > 3, 2 > 4, 3 >= 6, 4 >= 7
- new_compare20(vwx22, vwx24, False, ba, bb) → new_ltEs(vwx22, vwx24, ba, bb)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3, 5 >= 4
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(app(ty_@2, bdg), bdh)) → new_ltEs0(vwx232, vwx252, bdg, bdh)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
- new_ltEs1(Just(vwx230), Just(vwx250), app(app(ty_@2, hh), baa)) → new_ltEs0(vwx230, vwx250, hh, baa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(app(ty_Either, bde), bdf)) → new_ltEs(vwx232, vwx252, bde, bdf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
- new_ltEs1(Just(vwx230), Just(vwx250), app(app(ty_Either, hf), hg)) → new_ltEs(vwx230, vwx250, hf, hg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_compare22(vwx22, vwx24, False, bh, ca, cb) → new_ltEs3(vwx22, vwx24, bh, ca, cb)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3, 5 >= 4, 6 >= 5
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(ty_[], beb)) → new_ltEs2(vwx232, vwx252, beb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
- new_ltEs1(Just(vwx230), Just(vwx250), app(ty_[], bac)) → new_ltEs2(vwx230, vwx250, bac)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(ty_[], fh), fc) → new_lt2(vwx230, vwx250, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(app(ty_Either, fa), fb), fc) → new_lt(vwx230, vwx250, fa, fb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(app(ty_@2, fd), ff), fc) → new_lt0(vwx230, vwx250, fd, ff)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(app(ty_@2, gg), gh)) → new_ltEs0(vwx231, vwx251, gg, gh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(app(ty_Either, ge), gf)) → new_ltEs(vwx231, vwx251, ge, gf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(app(app(ty_@3, ga), gb), gc), fc) → new_lt3(vwx230, vwx250, ga, gb, gc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(ty_[], hb)) → new_ltEs2(vwx231, vwx251, hb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_lt(vwx22, vwx24, ba, bb) → new_compare20(vwx22, vwx24, new_esEs4(vwx22, vwx24, ba, bb), ba, bb)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5
- new_primCompAux(vwx220, vwx240, vwx65, app(ty_[], bfe)) → new_compare1(vwx220, vwx240, bfe)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3
- new_lt2(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_compare1(vwx221, vwx241, bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
- new_lt2(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_primCompAux(vwx220, vwx240, new_compare0(vwx221, vwx241, bg), bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 4
- new_compare1(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_compare1(vwx221, vwx241, bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
- new_compare1(:(vwx220, vwx221), :(vwx240, vwx241), bg) → new_primCompAux(vwx220, vwx240, new_compare0(vwx221, vwx241, bg), bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 4
- new_lt0(vwx22, vwx24, bd, be) → new_compare(vwx22, vwx24, bd, be)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4
- new_lt1(vwx22, vwx24, bf) → new_compare21(vwx22, vwx24, new_esEs5(vwx22, vwx24, bf), bf)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), app(ty_Maybe, fg), fc) → new_lt1(vwx230, vwx250, fg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_compare21(vwx22, vwx24, False, bf) → new_ltEs1(vwx22, vwx24, bf)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(ty_Maybe, bea)) → new_ltEs1(vwx232, vwx252, bea)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, bbb, app(app(app(ty_@3, bec), bed), bee)) → new_ltEs3(vwx232, vwx252, bec, bed, bee)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
- new_ltEs1(Just(vwx230), Just(vwx250), app(ty_Maybe, bab)) → new_ltEs1(vwx230, vwx250, bab)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs1(Just(vwx230), Just(vwx250), app(app(app(ty_@3, bad), bae), baf)) → new_ltEs3(vwx230, vwx250, bad, bae, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(ty_Maybe, ha)) → new_ltEs1(vwx231, vwx251, ha)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs0(@2(vwx230, vwx231), @2(vwx250, vwx251), gd, app(app(app(ty_@3, hc), hd), he)) → new_ltEs3(vwx231, vwx251, hc, hd, he)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_compare2(:(vwx220, vwx221), vwx23, :(vwx240, vwx241), vwx25, False, app(ty_[], bg), bc) → new_primCompAux(vwx220, vwx240, new_compare0(vwx221, vwx241, bg), bg)
The graph contains the following edges 1 > 1, 3 > 2, 6 > 4
- new_compare5(vwx22, vwx24, bh, ca, cb) → new_compare22(vwx22, vwx24, new_esEs6(vwx22, vwx24, bh, ca, cb), bh, ca, cb)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5, 5 >= 6
- new_compare3(vwx22, vwx24, ba, bb) → new_compare20(vwx22, vwx24, new_esEs4(vwx22, vwx24, ba, bb), ba, bb)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5
- new_lt3(vwx22, vwx24, bh, ca, cb) → new_compare22(vwx22, vwx24, new_esEs6(vwx22, vwx24, bh, ca, cb), bh, ca, cb)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5, 5 >= 6
- new_compare2(vwx22, vwx23, vwx24, vwx25, False, app(app(app(ty_@3, bh), ca), cb), bc) → new_compare22(vwx22, vwx24, new_esEs6(vwx22, vwx24, bh, ca, cb), bh, ca, cb)
The graph contains the following edges 1 >= 1, 3 >= 2, 6 > 4, 6 > 5, 6 > 6
- new_primCompAux(vwx220, vwx240, vwx65, app(app(ty_@2, bfb), bfc)) → new_compare(vwx220, vwx240, bfb, bfc)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4
- new_compare2(vwx22, vwx23, vwx24, vwx25, False, app(app(ty_@2, bd), be), bc) → new_compare(vwx22, vwx24, bd, be)
The graph contains the following edges 1 >= 1, 3 >= 2, 6 > 3, 6 > 4
- new_compare4(vwx22, vwx24, bf) → new_compare21(vwx22, vwx24, new_esEs5(vwx22, vwx24, bf), bf)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4
- new_primCompAux(vwx220, vwx240, vwx65, app(ty_Maybe, bfd)) → new_compare4(vwx220, vwx240, bfd)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3
- new_primCompAux(vwx220, vwx240, vwx65, app(app(app(ty_@3, bff), bfg), bfh)) → new_compare5(vwx220, vwx240, bff, bfg, bfh)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4, 4 > 5
- new_primCompAux(vwx220, vwx240, vwx65, app(app(ty_Either, beh), bfa)) → new_compare3(vwx220, vwx240, beh, bfa)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4
- new_compare2(vwx22, vwx23, vwx24, vwx25, False, app(app(ty_Either, ba), bb), bc) → new_compare20(vwx22, vwx24, new_esEs4(vwx22, vwx24, ba, bb), ba, bb)
The graph contains the following edges 1 >= 1, 3 >= 2, 6 > 4, 6 > 5
- new_compare2(vwx22, vwx23, vwx24, vwx25, False, app(ty_Maybe, bf), bc) → new_compare21(vwx22, vwx24, new_esEs5(vwx22, vwx24, bf), bf)
The graph contains the following edges 1 >= 1, 3 >= 2, 6 > 4
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(ty_[], bda), bbc) → new_lt2(vwx231, vwx251, bda)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(ty_[], bbg), bbb, bbc) → new_lt2(vwx230, vwx250, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(ty_[], bbg)), bbb), bbc)) → new_lt2(vwx230, vwx250, bbg)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(ty_[], fh)), fc)) → new_lt2(vwx230, vwx250, fh)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(ty_[], bda)), bbc)) → new_lt2(vwx231, vwx251, bda)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_ltEs(Right(vwx230), Right(vwx250), dg, app(app(ty_@2, eb), ec)) → new_ltEs0(vwx230, vwx250, eb, ec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs(Left(vwx230), Left(vwx250), app(app(ty_@2, cg), da), cf) → new_ltEs0(vwx230, vwx250, cg, da)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs(Right(vwx230), Right(vwx250), dg, app(app(ty_Either, dh), ea)) → new_ltEs(vwx230, vwx250, dh, ea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs(Left(vwx230), Left(vwx250), app(app(ty_Either, cd), ce), cf) → new_ltEs(vwx230, vwx250, cd, ce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs(Left(vwx230), Left(vwx250), app(ty_[], dc), cf) → new_ltEs2(vwx230, vwx250, dc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs(Right(vwx230), Right(vwx250), dg, app(ty_[], ee)) → new_ltEs2(vwx230, vwx250, ee)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs(Left(vwx230), Left(vwx250), app(ty_Maybe, db), cf) → new_ltEs1(vwx230, vwx250, db)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs(Right(vwx230), Right(vwx250), dg, app(ty_Maybe, ed)) → new_ltEs1(vwx230, vwx250, ed)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs(Left(vwx230), Left(vwx250), app(app(app(ty_@3, dd), de), df), cf) → new_ltEs3(vwx230, vwx250, dd, de, df)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_ltEs(Right(vwx230), Right(vwx250), dg, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs3(vwx230, vwx250, ef, eg, eh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(app(ty_Either, bah), bba), bbb, bbc) → new_lt(vwx230, vwx250, bah, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(app(ty_Either, bcd), bce), bbc) → new_lt(vwx231, vwx251, bcd, bce)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(app(ty_@2, bbd), bbe), bbb, bbc) → new_lt0(vwx230, vwx250, bbd, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(app(ty_@2, bcf), bcg), bbc) → new_lt0(vwx231, vwx251, bcf, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(app(app(ty_@3, bdb), bdc), bdd), bbc) → new_lt3(vwx231, vwx251, bdb, bdc, bdd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(app(app(ty_@3, bbh), bca), bcb), bbb, bbc) → new_lt3(vwx230, vwx250, bbh, bca, bcb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), bcc, app(ty_Maybe, bch), bbc) → new_lt1(vwx231, vwx251, bch)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs3(@3(vwx230, vwx231, vwx232), @3(vwx250, vwx251, vwx252), app(ty_Maybe, bbf), bbb, bbc) → new_lt1(vwx230, vwx250, bbf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(app(ty_Either, bcd), bce)), bbc)) → new_lt(vwx231, vwx251, bcd, bce)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(app(ty_Either, fa), fb)), fc)) → new_lt(vwx230, vwx250, fa, fb)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(app(ty_Either, bah), bba)), bbb), bbc)) → new_lt(vwx230, vwx250, bah, bba)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(app(ty_@2, bbd), bbe)), bbb), bbc)) → new_lt0(vwx230, vwx250, bbd, bbe)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(app(ty_@2, fd), ff)), fc)) → new_lt0(vwx230, vwx250, fd, ff)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(app(ty_@2, bcf), bcg)), bbc)) → new_lt0(vwx231, vwx251, bcf, bcg)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(app(ty_@2, eb), ec))) → new_ltEs0(vwx230, vwx250, eb, ec)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(app(ty_@2, gg), gh))) → new_ltEs0(vwx231, vwx251, gg, gh)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(app(ty_@2, hh), baa))) → new_ltEs0(vwx230, vwx250, hh, baa)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(app(ty_@2, bdg), bdh))) → new_ltEs0(vwx232, vwx252, bdg, bdh)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(app(ty_@2, cg), da)), cf)) → new_ltEs0(vwx230, vwx250, cg, da)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(app(ty_Either, cd), ce)), cf)) → new_ltEs(vwx230, vwx250, cd, ce)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(app(ty_Either, ge), gf))) → new_ltEs(vwx231, vwx251, ge, gf)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(app(ty_Either, hf), hg))) → new_ltEs(vwx230, vwx250, hf, hg)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(app(ty_Either, dh), ea))) → new_ltEs(vwx230, vwx250, dh, ea)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(app(ty_Either, bde), bdf))) → new_ltEs(vwx232, vwx252, bde, bdf)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(app(app(ty_@3, bbh), bca), bcb)), bbb), bbc)) → new_lt3(vwx230, vwx250, bbh, bca, bcb)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4, 7 > 5
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(app(app(ty_@3, bdb), bdc), bdd)), bbc)) → new_lt3(vwx231, vwx251, bdb, bdc, bdd)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4, 7 > 5
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(app(app(ty_@3, ga), gb), gc)), fc)) → new_lt3(vwx230, vwx250, ga, gb, gc)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4, 7 > 5
- new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(ty_[], ee))) → new_ltEs2(vwx230, vwx250, ee)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(ty_[], dc)), cf)) → new_ltEs2(vwx230, vwx250, dc)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(ty_[], beb))) → new_ltEs2(vwx232, vwx252, beb)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(ty_[], bac))) → new_ltEs2(vwx230, vwx250, bac)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(ty_[], hb))) → new_ltEs2(vwx231, vwx251, hb)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, vwx23, vwx24, vwx25, False, cc, app(ty_[], bag)) → new_compare1(vwx23, vwx25, bag)
The graph contains the following edges 2 >= 1, 4 >= 2, 7 > 3
- new_compare2(:(vwx220, vwx221), vwx23, :(vwx240, vwx241), vwx25, False, app(ty_[], bg), bc) → new_compare1(vwx221, vwx241, bg)
The graph contains the following edges 1 > 1, 3 > 2, 6 > 3
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), app(ty_Maybe, bch)), bbc)) → new_lt1(vwx231, vwx251, bch)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, app(ty_Maybe, bbf)), bbb), bbc)) → new_lt1(vwx230, vwx250, bbf)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, app(ty_Maybe, fg)), fc)) → new_lt1(vwx230, vwx250, fg)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(ty_Maybe, ha))) → new_ltEs1(vwx231, vwx251, ha)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(ty_Maybe, ed))) → new_ltEs1(vwx230, vwx250, ed)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(ty_Maybe, bab))) → new_ltEs1(vwx230, vwx250, bab)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(ty_Maybe, bea))) → new_ltEs1(vwx232, vwx252, bea)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(ty_Maybe, db)), cf)) → new_ltEs1(vwx230, vwx250, db)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3
- new_compare2(vwx22, @3(vwx230, vwx231, vwx232), vwx24, @3(vwx250, vwx251, vwx252), False, cc, app(app(app(ty_@3, bcc), bbb), app(app(app(ty_@3, bec), bed), bee))) → new_ltEs3(vwx232, vwx252, bec, bed, bee)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4, 7 > 5
- new_compare2(vwx22, Left(vwx230), vwx24, Left(vwx250), False, cc, app(app(ty_Either, app(app(app(ty_@3, dd), de), df)), cf)) → new_ltEs3(vwx230, vwx250, dd, de, df)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4, 7 > 5
- new_compare2(vwx22, @2(vwx230, vwx231), vwx24, @2(vwx250, vwx251), False, cc, app(app(ty_@2, gd), app(app(app(ty_@3, hc), hd), he))) → new_ltEs3(vwx231, vwx251, hc, hd, he)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4, 7 > 5
- new_compare2(vwx22, Right(vwx230), vwx24, Right(vwx250), False, cc, app(app(ty_Either, dg), app(app(app(ty_@3, ef), eg), eh))) → new_ltEs3(vwx230, vwx250, ef, eg, eh)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4, 7 > 5
- new_compare2(vwx22, Just(vwx230), vwx24, Just(vwx250), False, cc, app(ty_Maybe, app(app(app(ty_@3, bad), bae), baf))) → new_ltEs3(vwx230, vwx250, bad, bae, baf)
The graph contains the following edges 2 > 1, 4 > 2, 7 > 3, 7 > 4, 7 > 5