/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE

Problem:
 zeros() -> cons(0(),n__zeros())
 U11(tt(),V1) -> U12(isNatIListKind(activate(V1)),activate(V1))
 U12(tt(),V1) -> U13(isNatList(activate(V1)))
 U13(tt()) -> tt()
 U21(tt(),V1) -> U22(isNatKind(activate(V1)),activate(V1))
 U22(tt(),V1) -> U23(isNat(activate(V1)))
 U23(tt()) -> tt()
 U31(tt(),V) -> U32(isNatIListKind(activate(V)),activate(V))
 U32(tt(),V) -> U33(isNatList(activate(V)))
 U33(tt()) -> tt()
 U41(tt(),V1,V2) -> U42(isNatKind(activate(V1)),activate(V1),activate(V2))
 U42(tt(),V1,V2) -> U43(isNatIListKind(activate(V2)),activate(V1),activate(V2))
 U43(tt(),V1,V2) -> U44(isNatIListKind(activate(V2)),activate(V1),activate(V2))
 U44(tt(),V1,V2) -> U45(isNat(activate(V1)),activate(V2))
 U45(tt(),V2) -> U46(isNatIList(activate(V2)))
 U46(tt()) -> tt()
 U51(tt(),V2) -> U52(isNatIListKind(activate(V2)))
 U52(tt()) -> tt()
 U61(tt()) -> tt()
 U71(tt()) -> tt()
 U81(tt(),V1,V2) -> U82(isNatKind(activate(V1)),activate(V1),activate(V2))
 U82(tt(),V1,V2) -> U83(isNatIListKind(activate(V2)),activate(V1),activate(V2))
 U83(tt(),V1,V2) -> U84(isNatIListKind(activate(V2)),activate(V1),activate(V2))
 U84(tt(),V1,V2) -> U85(isNat(activate(V1)),activate(V2))
 U85(tt(),V2) -> U86(isNatList(activate(V2)))
 U86(tt()) -> tt()
 U91(tt(),L,N) -> U92(isNatIListKind(activate(L)),activate(L),activate(N))
 U92(tt(),L,N) -> U93(isNat(activate(N)),activate(L),activate(N))
 U93(tt(),L,N) -> U94(isNatKind(activate(N)),activate(L))
 U94(tt(),L) -> s(length(activate(L)))
 isNat(n__0()) -> tt()
 isNat(n__length(V1)) -> U11(isNatIListKind(activate(V1)),activate(V1))
 isNat(n__s(V1)) -> U21(isNatKind(activate(V1)),activate(V1))
 isNatIList(V) -> U31(isNatIListKind(activate(V)),activate(V))
 isNatIList(n__zeros()) -> tt()
 isNatIList(n__cons(V1,V2)) -> U41(isNatKind(activate(V1)),activate(V1),activate(V2))
 isNatIListKind(n__nil()) -> tt()
 isNatIListKind(n__zeros()) -> tt()
 isNatIListKind(n__cons(V1,V2)) -> U51(isNatKind(activate(V1)),activate(V2))
 isNatKind(n__0()) -> tt()
 isNatKind(n__length(V1)) -> U61(isNatIListKind(activate(V1)))
 isNatKind(n__s(V1)) -> U71(isNatKind(activate(V1)))
 isNatList(n__nil()) -> tt()
 isNatList(n__cons(V1,V2)) -> U81(isNatKind(activate(V1)),activate(V1),activate(V2))
 length(nil()) -> 0()
 length(cons(N,L)) -> U91(isNatList(activate(L)),activate(L),N)
 zeros() -> n__zeros()
 0() -> n__0()
 length(X) -> n__length(X)
 s(X) -> n__s(X)
 cons(X1,X2) -> n__cons(X1,X2)
 nil() -> n__nil()
 activate(n__zeros()) -> zeros()
 activate(n__0()) -> 0()
 activate(n__length(X)) -> length(X)
 activate(n__s(X)) -> s(X)
 activate(n__cons(X1,X2)) -> cons(X1,X2)
 activate(n__nil()) -> nil()
 activate(X) -> X

Proof:
 Open