Problem Transformed CSR 04 LengthOfFiniteLists complete noand GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 LengthOfFiniteLists complete noand GM

stdout:

MAYBE

Problem:
a__zeros() -> cons(0(),zeros())
a__U11(tt(),V1) -> a__U12(a__isNatIListKind(V1),V1)
a__U12(tt(),V1) -> a__U13(a__isNatList(V1))
a__U13(tt()) -> tt()
a__U21(tt(),V1) -> a__U22(a__isNatKind(V1),V1)
a__U22(tt(),V1) -> a__U23(a__isNat(V1))
a__U23(tt()) -> tt()
a__U31(tt(),V) -> a__U32(a__isNatIListKind(V),V)
a__U32(tt(),V) -> a__U33(a__isNatList(V))
a__U33(tt()) -> tt()
a__U41(tt(),V1,V2) -> a__U42(a__isNatKind(V1),V1,V2)
a__U42(tt(),V1,V2) -> a__U43(a__isNatIListKind(V2),V1,V2)
a__U43(tt(),V1,V2) -> a__U44(a__isNatIListKind(V2),V1,V2)
a__U44(tt(),V1,V2) -> a__U45(a__isNat(V1),V2)
a__U45(tt(),V2) -> a__U46(a__isNatIList(V2))
a__U46(tt()) -> tt()
a__U51(tt(),V2) -> a__U52(a__isNatIListKind(V2))
a__U52(tt()) -> tt()
a__U61(tt()) -> tt()
a__U71(tt()) -> tt()
a__U81(tt(),V1,V2) -> a__U82(a__isNatKind(V1),V1,V2)
a__U82(tt(),V1,V2) -> a__U83(a__isNatIListKind(V2),V1,V2)
a__U83(tt(),V1,V2) -> a__U84(a__isNatIListKind(V2),V1,V2)
a__U84(tt(),V1,V2) -> a__U85(a__isNat(V1),V2)
a__U85(tt(),V2) -> a__U86(a__isNatList(V2))
a__U86(tt()) -> tt()
a__U91(tt(),L,N) -> a__U92(a__isNatIListKind(L),L,N)
a__U92(tt(),L,N) -> a__U93(a__isNat(N),L,N)
a__U93(tt(),L,N) -> a__U94(a__isNatKind(N),L)
a__U94(tt(),L) -> s(a__length(mark(L)))
a__isNat(0()) -> tt()
a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1),V1)
a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1)
a__isNatIList(V) -> a__U31(a__isNatIListKind(V),V)
a__isNatIList(zeros()) -> tt()
a__isNatIList(cons(V1,V2)) -> a__U41(a__isNatKind(V1),V1,V2)
a__isNatIListKind(nil()) -> tt()
a__isNatIListKind(zeros()) -> tt()
a__isNatIListKind(cons(V1,V2)) -> a__U51(a__isNatKind(V1),V2)
a__isNatKind(0()) -> tt()
a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1))
a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1))
a__isNatList(nil()) -> tt()
a__isNatList(cons(V1,V2)) -> a__U81(a__isNatKind(V1),V1,V2)
a__length(nil()) -> 0()
a__length(cons(N,L)) -> a__U91(a__isNatList(L),L,N)
mark(zeros()) -> a__zeros()
mark(U11(X1,X2)) -> a__U11(mark(X1),X2)
mark(U12(X1,X2)) -> a__U12(mark(X1),X2)
mark(isNatIListKind(X)) -> a__isNatIListKind(X)
mark(U13(X)) -> a__U13(mark(X))
mark(isNatList(X)) -> a__isNatList(X)
mark(U21(X1,X2)) -> a__U21(mark(X1),X2)
mark(U22(X1,X2)) -> a__U22(mark(X1),X2)
mark(isNatKind(X)) -> a__isNatKind(X)
mark(U23(X)) -> a__U23(mark(X))
mark(isNat(X)) -> a__isNat(X)
mark(U31(X1,X2)) -> a__U31(mark(X1),X2)
mark(U32(X1,X2)) -> a__U32(mark(X1),X2)
mark(U33(X)) -> a__U33(mark(X))
mark(U41(X1,X2,X3)) -> a__U41(mark(X1),X2,X3)
mark(U42(X1,X2,X3)) -> a__U42(mark(X1),X2,X3)
mark(U43(X1,X2,X3)) -> a__U43(mark(X1),X2,X3)
mark(U44(X1,X2,X3)) -> a__U44(mark(X1),X2,X3)
mark(U45(X1,X2)) -> a__U45(mark(X1),X2)
mark(U46(X)) -> a__U46(mark(X))
mark(isNatIList(X)) -> a__isNatIList(X)
mark(U51(X1,X2)) -> a__U51(mark(X1),X2)
mark(U52(X)) -> a__U52(mark(X))
mark(U61(X)) -> a__U61(mark(X))
mark(U71(X)) -> a__U71(mark(X))
mark(U81(X1,X2,X3)) -> a__U81(mark(X1),X2,X3)
mark(U82(X1,X2,X3)) -> a__U82(mark(X1),X2,X3)
mark(U83(X1,X2,X3)) -> a__U83(mark(X1),X2,X3)
mark(U84(X1,X2,X3)) -> a__U84(mark(X1),X2,X3)
mark(U85(X1,X2)) -> a__U85(mark(X1),X2)
mark(U86(X)) -> a__U86(mark(X))
mark(U91(X1,X2,X3)) -> a__U91(mark(X1),X2,X3)
mark(U92(X1,X2,X3)) -> a__U92(mark(X1),X2,X3)
mark(U93(X1,X2,X3)) -> a__U93(mark(X1),X2,X3)
mark(U94(X1,X2)) -> a__U94(mark(X1),X2)
mark(length(X)) -> a__length(mark(X))
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(0()) -> 0()
mark(tt()) -> tt()
mark(s(X)) -> s(mark(X))
mark(nil()) -> nil()
a__zeros() -> zeros()
a__U11(X1,X2) -> U11(X1,X2)
a__U12(X1,X2) -> U12(X1,X2)
a__isNatIListKind(X) -> isNatIListKind(X)
a__U13(X) -> U13(X)
a__isNatList(X) -> isNatList(X)
a__U21(X1,X2) -> U21(X1,X2)
a__U22(X1,X2) -> U22(X1,X2)
a__isNatKind(X) -> isNatKind(X)
a__U23(X) -> U23(X)
a__isNat(X) -> isNat(X)
a__U31(X1,X2) -> U31(X1,X2)
a__U32(X1,X2) -> U32(X1,X2)
a__U33(X) -> U33(X)
a__U41(X1,X2,X3) -> U41(X1,X2,X3)
a__U42(X1,X2,X3) -> U42(X1,X2,X3)
a__U43(X1,X2,X3) -> U43(X1,X2,X3)
a__U44(X1,X2,X3) -> U44(X1,X2,X3)
a__U45(X1,X2) -> U45(X1,X2)
a__U46(X) -> U46(X)
a__isNatIList(X) -> isNatIList(X)
a__U51(X1,X2) -> U51(X1,X2)
a__U52(X) -> U52(X)
a__U61(X) -> U61(X)
a__U71(X) -> U71(X)
a__U81(X1,X2,X3) -> U81(X1,X2,X3)
a__U82(X1,X2,X3) -> U82(X1,X2,X3)
a__U83(X1,X2,X3) -> U83(X1,X2,X3)
a__U84(X1,X2,X3) -> U84(X1,X2,X3)
a__U85(X1,X2) -> U85(X1,X2)
a__U86(X) -> U86(X)
a__U91(X1,X2,X3) -> U91(X1,X2,X3)
a__U92(X1,X2,X3) -> U92(X1,X2,X3)
a__U93(X1,X2,X3) -> U93(X1,X2,X3)
a__U94(X1,X2) -> U94(X1,X2)
a__length(X) -> length(X)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 LengthOfFiniteLists complete noand GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 LengthOfFiniteLists complete noand GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__zeros() -> cons(0(), zeros())
     , a__U11(tt(), V1) -> a__U12(a__isNatIListKind(V1), V1)
     , a__U12(tt(), V1) -> a__U13(a__isNatList(V1))
     , a__U13(tt()) -> tt()
     , a__U21(tt(), V1) -> a__U22(a__isNatKind(V1), V1)
     , a__U22(tt(), V1) -> a__U23(a__isNat(V1))
     , a__U23(tt()) -> tt()
     , a__U31(tt(), V) -> a__U32(a__isNatIListKind(V), V)
     , a__U32(tt(), V) -> a__U33(a__isNatList(V))
     , a__U33(tt()) -> tt()
     , a__U41(tt(), V1, V2) -> a__U42(a__isNatKind(V1), V1, V2)
     , a__U42(tt(), V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2)
     , a__U43(tt(), V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2)
     , a__U44(tt(), V1, V2) -> a__U45(a__isNat(V1), V2)
     , a__U45(tt(), V2) -> a__U46(a__isNatIList(V2))
     , a__U46(tt()) -> tt()
     , a__U51(tt(), V2) -> a__U52(a__isNatIListKind(V2))
     , a__U52(tt()) -> tt()
     , a__U61(tt()) -> tt()
     , a__U71(tt()) -> tt()
     , a__U81(tt(), V1, V2) -> a__U82(a__isNatKind(V1), V1, V2)
     , a__U82(tt(), V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2)
     , a__U83(tt(), V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2)
     , a__U84(tt(), V1, V2) -> a__U85(a__isNat(V1), V2)
     , a__U85(tt(), V2) -> a__U86(a__isNatList(V2))
     , a__U86(tt()) -> tt()
     , a__U91(tt(), L, N) -> a__U92(a__isNatIListKind(L), L, N)
     , a__U92(tt(), L, N) -> a__U93(a__isNat(N), L, N)
     , a__U93(tt(), L, N) -> a__U94(a__isNatKind(N), L)
     , a__U94(tt(), L) -> s(a__length(mark(L)))
     , a__isNat(0()) -> tt()
     , a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1)
     , a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1)
     , a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V)
     , a__isNatIList(zeros()) -> tt()
     , a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2)
     , a__isNatIListKind(nil()) -> tt()
     , a__isNatIListKind(zeros()) -> tt()
     , a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2)
     , a__isNatKind(0()) -> tt()
     , a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1))
     , a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1))
     , a__isNatList(nil()) -> tt()
     , a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2)
     , a__length(nil()) -> 0()
     , a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N)
     , mark(zeros()) -> a__zeros()
     , mark(U11(X1, X2)) -> a__U11(mark(X1), X2)
     , mark(U12(X1, X2)) -> a__U12(mark(X1), X2)
     , mark(isNatIListKind(X)) -> a__isNatIListKind(X)
     , mark(U13(X)) -> a__U13(mark(X))
     , mark(isNatList(X)) -> a__isNatList(X)
     , mark(U21(X1, X2)) -> a__U21(mark(X1), X2)
     , mark(U22(X1, X2)) -> a__U22(mark(X1), X2)
     , mark(isNatKind(X)) -> a__isNatKind(X)
     , mark(U23(X)) -> a__U23(mark(X))
     , mark(isNat(X)) -> a__isNat(X)
     , mark(U31(X1, X2)) -> a__U31(mark(X1), X2)
     , mark(U32(X1, X2)) -> a__U32(mark(X1), X2)
     , mark(U33(X)) -> a__U33(mark(X))
     , mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3)
     , mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3)
     , mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3)
     , mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3)
     , mark(U45(X1, X2)) -> a__U45(mark(X1), X2)
     , mark(U46(X)) -> a__U46(mark(X))
     , mark(isNatIList(X)) -> a__isNatIList(X)
     , mark(U51(X1, X2)) -> a__U51(mark(X1), X2)
     , mark(U52(X)) -> a__U52(mark(X))
     , mark(U61(X)) -> a__U61(mark(X))
     , mark(U71(X)) -> a__U71(mark(X))
     , mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3)
     , mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3)
     , mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3)
     , mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3)
     , mark(U85(X1, X2)) -> a__U85(mark(X1), X2)
     , mark(U86(X)) -> a__U86(mark(X))
     , mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3)
     , mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3)
     , mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3)
     , mark(U94(X1, X2)) -> a__U94(mark(X1), X2)
     , mark(length(X)) -> a__length(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(0()) -> 0()
     , mark(tt()) -> tt()
     , mark(s(X)) -> s(mark(X))
     , mark(nil()) -> nil()
     , a__zeros() -> zeros()
     , a__U11(X1, X2) -> U11(X1, X2)
     , a__U12(X1, X2) -> U12(X1, X2)
     , a__isNatIListKind(X) -> isNatIListKind(X)
     , a__U13(X) -> U13(X)
     , a__isNatList(X) -> isNatList(X)
     , a__U21(X1, X2) -> U21(X1, X2)
     , a__U22(X1, X2) -> U22(X1, X2)
     , a__isNatKind(X) -> isNatKind(X)
     , a__U23(X) -> U23(X)
     , a__isNat(X) -> isNat(X)
     , a__U31(X1, X2) -> U31(X1, X2)
     , a__U32(X1, X2) -> U32(X1, X2)
     , a__U33(X) -> U33(X)
     , a__U41(X1, X2, X3) -> U41(X1, X2, X3)
     , a__U42(X1, X2, X3) -> U42(X1, X2, X3)
     , a__U43(X1, X2, X3) -> U43(X1, X2, X3)
     , a__U44(X1, X2, X3) -> U44(X1, X2, X3)
     , a__U45(X1, X2) -> U45(X1, X2)
     , a__U46(X) -> U46(X)
     , a__isNatIList(X) -> isNatIList(X)
     , a__U51(X1, X2) -> U51(X1, X2)
     , a__U52(X) -> U52(X)
     , a__U61(X) -> U61(X)
     , a__U71(X) -> U71(X)
     , a__U81(X1, X2, X3) -> U81(X1, X2, X3)
     , a__U82(X1, X2, X3) -> U82(X1, X2, X3)
     , a__U83(X1, X2, X3) -> U83(X1, X2, X3)
     , a__U84(X1, X2, X3) -> U84(X1, X2, X3)
     , a__U85(X1, X2) -> U85(X1, X2)
     , a__U86(X) -> U86(X)
     , a__U91(X1, X2, X3) -> U91(X1, X2, X3)
     , a__U92(X1, X2, X3) -> U92(X1, X2, X3)
     , a__U93(X1, X2, X3) -> U93(X1, X2, X3)
     , a__U94(X1, X2) -> U94(X1, X2)
     , a__length(X) -> length(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 LengthOfFiniteLists complete noand GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__zeros() -> cons(0(), zeros())
     , a__U11(tt(), V1) -> a__U12(a__isNatIListKind(V1), V1)
     , a__U12(tt(), V1) -> a__U13(a__isNatList(V1))
     , a__U13(tt()) -> tt()
     , a__U21(tt(), V1) -> a__U22(a__isNatKind(V1), V1)
     , a__U22(tt(), V1) -> a__U23(a__isNat(V1))
     , a__U23(tt()) -> tt()
     , a__U31(tt(), V) -> a__U32(a__isNatIListKind(V), V)
     , a__U32(tt(), V) -> a__U33(a__isNatList(V))
     , a__U33(tt()) -> tt()
     , a__U41(tt(), V1, V2) -> a__U42(a__isNatKind(V1), V1, V2)
     , a__U42(tt(), V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2)
     , a__U43(tt(), V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2)
     , a__U44(tt(), V1, V2) -> a__U45(a__isNat(V1), V2)
     , a__U45(tt(), V2) -> a__U46(a__isNatIList(V2))
     , a__U46(tt()) -> tt()
     , a__U51(tt(), V2) -> a__U52(a__isNatIListKind(V2))
     , a__U52(tt()) -> tt()
     , a__U61(tt()) -> tt()
     , a__U71(tt()) -> tt()
     , a__U81(tt(), V1, V2) -> a__U82(a__isNatKind(V1), V1, V2)
     , a__U82(tt(), V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2)
     , a__U83(tt(), V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2)
     , a__U84(tt(), V1, V2) -> a__U85(a__isNat(V1), V2)
     , a__U85(tt(), V2) -> a__U86(a__isNatList(V2))
     , a__U86(tt()) -> tt()
     , a__U91(tt(), L, N) -> a__U92(a__isNatIListKind(L), L, N)
     , a__U92(tt(), L, N) -> a__U93(a__isNat(N), L, N)
     , a__U93(tt(), L, N) -> a__U94(a__isNatKind(N), L)
     , a__U94(tt(), L) -> s(a__length(mark(L)))
     , a__isNat(0()) -> tt()
     , a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1)
     , a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1)
     , a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V)
     , a__isNatIList(zeros()) -> tt()
     , a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2)
     , a__isNatIListKind(nil()) -> tt()
     , a__isNatIListKind(zeros()) -> tt()
     , a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2)
     , a__isNatKind(0()) -> tt()
     , a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1))
     , a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1))
     , a__isNatList(nil()) -> tt()
     , a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2)
     , a__length(nil()) -> 0()
     , a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N)
     , mark(zeros()) -> a__zeros()
     , mark(U11(X1, X2)) -> a__U11(mark(X1), X2)
     , mark(U12(X1, X2)) -> a__U12(mark(X1), X2)
     , mark(isNatIListKind(X)) -> a__isNatIListKind(X)
     , mark(U13(X)) -> a__U13(mark(X))
     , mark(isNatList(X)) -> a__isNatList(X)
     , mark(U21(X1, X2)) -> a__U21(mark(X1), X2)
     , mark(U22(X1, X2)) -> a__U22(mark(X1), X2)
     , mark(isNatKind(X)) -> a__isNatKind(X)
     , mark(U23(X)) -> a__U23(mark(X))
     , mark(isNat(X)) -> a__isNat(X)
     , mark(U31(X1, X2)) -> a__U31(mark(X1), X2)
     , mark(U32(X1, X2)) -> a__U32(mark(X1), X2)
     , mark(U33(X)) -> a__U33(mark(X))
     , mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3)
     , mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3)
     , mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3)
     , mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3)
     , mark(U45(X1, X2)) -> a__U45(mark(X1), X2)
     , mark(U46(X)) -> a__U46(mark(X))
     , mark(isNatIList(X)) -> a__isNatIList(X)
     , mark(U51(X1, X2)) -> a__U51(mark(X1), X2)
     , mark(U52(X)) -> a__U52(mark(X))
     , mark(U61(X)) -> a__U61(mark(X))
     , mark(U71(X)) -> a__U71(mark(X))
     , mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3)
     , mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3)
     , mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3)
     , mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3)
     , mark(U85(X1, X2)) -> a__U85(mark(X1), X2)
     , mark(U86(X)) -> a__U86(mark(X))
     , mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3)
     , mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3)
     , mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3)
     , mark(U94(X1, X2)) -> a__U94(mark(X1), X2)
     , mark(length(X)) -> a__length(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(0()) -> 0()
     , mark(tt()) -> tt()
     , mark(s(X)) -> s(mark(X))
     , mark(nil()) -> nil()
     , a__zeros() -> zeros()
     , a__U11(X1, X2) -> U11(X1, X2)
     , a__U12(X1, X2) -> U12(X1, X2)
     , a__isNatIListKind(X) -> isNatIListKind(X)
     , a__U13(X) -> U13(X)
     , a__isNatList(X) -> isNatList(X)
     , a__U21(X1, X2) -> U21(X1, X2)
     , a__U22(X1, X2) -> U22(X1, X2)
     , a__isNatKind(X) -> isNatKind(X)
     , a__U23(X) -> U23(X)
     , a__isNat(X) -> isNat(X)
     , a__U31(X1, X2) -> U31(X1, X2)
     , a__U32(X1, X2) -> U32(X1, X2)
     , a__U33(X) -> U33(X)
     , a__U41(X1, X2, X3) -> U41(X1, X2, X3)
     , a__U42(X1, X2, X3) -> U42(X1, X2, X3)
     , a__U43(X1, X2, X3) -> U43(X1, X2, X3)
     , a__U44(X1, X2, X3) -> U44(X1, X2, X3)
     , a__U45(X1, X2) -> U45(X1, X2)
     , a__U46(X) -> U46(X)
     , a__isNatIList(X) -> isNatIList(X)
     , a__U51(X1, X2) -> U51(X1, X2)
     , a__U52(X) -> U52(X)
     , a__U61(X) -> U61(X)
     , a__U71(X) -> U71(X)
     , a__U81(X1, X2, X3) -> U81(X1, X2, X3)
     , a__U82(X1, X2, X3) -> U82(X1, X2, X3)
     , a__U83(X1, X2, X3) -> U83(X1, X2, X3)
     , a__U84(X1, X2, X3) -> U84(X1, X2, X3)
     , a__U85(X1, X2) -> U85(X1, X2)
     , a__U86(X) -> U86(X)
     , a__U91(X1, X2, X3) -> U91(X1, X2, X3)
     , a__U92(X1, X2, X3) -> U92(X1, X2, X3)
     , a__U93(X1, X2, X3) -> U93(X1, X2, X3)
     , a__U94(X1, X2) -> U94(X1, X2)
     , a__length(X) -> length(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds