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


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MAYBE

Problem:
 active(zeros()) -> mark(cons(0(),zeros()))
 active(U11(tt(),V1)) -> mark(U12(isNatIListKind(V1),V1))
 active(U12(tt(),V1)) -> mark(U13(isNatList(V1)))
 active(U13(tt())) -> mark(tt())
 active(U21(tt(),V1)) -> mark(U22(isNatKind(V1),V1))
 active(U22(tt(),V1)) -> mark(U23(isNat(V1)))
 active(U23(tt())) -> mark(tt())
 active(U31(tt(),V)) -> mark(U32(isNatIListKind(V),V))
 active(U32(tt(),V)) -> mark(U33(isNatList(V)))
 active(U33(tt())) -> mark(tt())
 active(U41(tt(),V1,V2)) -> mark(U42(isNatKind(V1),V1,V2))
 active(U42(tt(),V1,V2)) -> mark(U43(isNatIListKind(V2),V1,V2))
 active(U43(tt(),V1,V2)) -> mark(U44(isNatIListKind(V2),V1,V2))
 active(U44(tt(),V1,V2)) -> mark(U45(isNat(V1),V2))
 active(U45(tt(),V2)) -> mark(U46(isNatIList(V2)))
 active(U46(tt())) -> mark(tt())
 active(U51(tt(),V2)) -> mark(U52(isNatIListKind(V2)))
 active(U52(tt())) -> mark(tt())
 active(U61(tt())) -> mark(tt())
 active(U71(tt())) -> mark(tt())
 active(U81(tt(),V1,V2)) -> mark(U82(isNatKind(V1),V1,V2))
 active(U82(tt(),V1,V2)) -> mark(U83(isNatIListKind(V2),V1,V2))
 active(U83(tt(),V1,V2)) -> mark(U84(isNatIListKind(V2),V1,V2))
 active(U84(tt(),V1,V2)) -> mark(U85(isNat(V1),V2))
 active(U85(tt(),V2)) -> mark(U86(isNatList(V2)))
 active(U86(tt())) -> mark(tt())
 active(U91(tt(),L,N)) -> mark(U92(isNatIListKind(L),L,N))
 active(U92(tt(),L,N)) -> mark(U93(isNat(N),L,N))
 active(U93(tt(),L,N)) -> mark(U94(isNatKind(N),L))
 active(U94(tt(),L)) -> mark(s(length(L)))
 active(isNat(0())) -> mark(tt())
 active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1),V1))
 active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
 active(isNatIList(V)) -> mark(U31(isNatIListKind(V),V))
 active(isNatIList(zeros())) -> mark(tt())
 active(isNatIList(cons(V1,V2))) -> mark(U41(isNatKind(V1),V1,V2))
 active(isNatIListKind(nil())) -> mark(tt())
 active(isNatIListKind(zeros())) -> mark(tt())
 active(isNatIListKind(cons(V1,V2))) -> mark(U51(isNatKind(V1),V2))
 active(isNatKind(0())) -> mark(tt())
 active(isNatKind(length(V1))) -> mark(U61(isNatIListKind(V1)))
 active(isNatKind(s(V1))) -> mark(U71(isNatKind(V1)))
 active(isNatList(nil())) -> mark(tt())
 active(isNatList(cons(V1,V2))) -> mark(U81(isNatKind(V1),V1,V2))
 active(length(nil())) -> mark(0())
 active(length(cons(N,L))) -> mark(U91(isNatList(L),L,N))
 mark(zeros()) -> active(zeros())
 mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
 mark(0()) -> active(0())
 mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
 mark(tt()) -> active(tt())
 mark(U12(X1,X2)) -> active(U12(mark(X1),X2))
 mark(isNatIListKind(X)) -> active(isNatIListKind(X))
 mark(U13(X)) -> active(U13(mark(X)))
 mark(isNatList(X)) -> active(isNatList(X))
 mark(U21(X1,X2)) -> active(U21(mark(X1),X2))
 mark(U22(X1,X2)) -> active(U22(mark(X1),X2))
 mark(isNatKind(X)) -> active(isNatKind(X))
 mark(U23(X)) -> active(U23(mark(X)))
 mark(isNat(X)) -> active(isNat(X))
 mark(U31(X1,X2)) -> active(U31(mark(X1),X2))
 mark(U32(X1,X2)) -> active(U32(mark(X1),X2))
 mark(U33(X)) -> active(U33(mark(X)))
 mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
 mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
 mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
 mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
 mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
 mark(U46(X)) -> active(U46(mark(X)))
 mark(isNatIList(X)) -> active(isNatIList(X))
 mark(U51(X1,X2)) -> active(U51(mark(X1),X2))
 mark(U52(X)) -> active(U52(mark(X)))
 mark(U61(X)) -> active(U61(mark(X)))
 mark(U71(X)) -> active(U71(mark(X)))
 mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3))
 mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3))
 mark(U83(X1,X2,X3)) -> active(U83(mark(X1),X2,X3))
 mark(U84(X1,X2,X3)) -> active(U84(mark(X1),X2,X3))
 mark(U85(X1,X2)) -> active(U85(mark(X1),X2))
 mark(U86(X)) -> active(U86(mark(X)))
 mark(U91(X1,X2,X3)) -> active(U91(mark(X1),X2,X3))
 mark(U92(X1,X2,X3)) -> active(U92(mark(X1),X2,X3))
 mark(U93(X1,X2,X3)) -> active(U93(mark(X1),X2,X3))
 mark(U94(X1,X2)) -> active(U94(mark(X1),X2))
 mark(s(X)) -> active(s(mark(X)))
 mark(length(X)) -> active(length(mark(X)))
 mark(nil()) -> active(nil())
 cons(mark(X1),X2) -> cons(X1,X2)
 cons(X1,mark(X2)) -> cons(X1,X2)
 cons(active(X1),X2) -> cons(X1,X2)
 cons(X1,active(X2)) -> cons(X1,X2)
 U11(mark(X1),X2) -> U11(X1,X2)
 U11(X1,mark(X2)) -> U11(X1,X2)
 U11(active(X1),X2) -> U11(X1,X2)
 U11(X1,active(X2)) -> U11(X1,X2)
 U12(mark(X1),X2) -> U12(X1,X2)
 U12(X1,mark(X2)) -> U12(X1,X2)
 U12(active(X1),X2) -> U12(X1,X2)
 U12(X1,active(X2)) -> U12(X1,X2)
 isNatIListKind(mark(X)) -> isNatIListKind(X)
 isNatIListKind(active(X)) -> isNatIListKind(X)
 U13(mark(X)) -> U13(X)
 U13(active(X)) -> U13(X)
 isNatList(mark(X)) -> isNatList(X)
 isNatList(active(X)) -> isNatList(X)
 U21(mark(X1),X2) -> U21(X1,X2)
 U21(X1,mark(X2)) -> U21(X1,X2)
 U21(active(X1),X2) -> U21(X1,X2)
 U21(X1,active(X2)) -> U21(X1,X2)
 U22(mark(X1),X2) -> U22(X1,X2)
 U22(X1,mark(X2)) -> U22(X1,X2)
 U22(active(X1),X2) -> U22(X1,X2)
 U22(X1,active(X2)) -> U22(X1,X2)
 isNatKind(mark(X)) -> isNatKind(X)
 isNatKind(active(X)) -> isNatKind(X)
 U23(mark(X)) -> U23(X)
 U23(active(X)) -> U23(X)
 isNat(mark(X)) -> isNat(X)
 isNat(active(X)) -> isNat(X)
 U31(mark(X1),X2) -> U31(X1,X2)
 U31(X1,mark(X2)) -> U31(X1,X2)
 U31(active(X1),X2) -> U31(X1,X2)
 U31(X1,active(X2)) -> U31(X1,X2)
 U32(mark(X1),X2) -> U32(X1,X2)
 U32(X1,mark(X2)) -> U32(X1,X2)
 U32(active(X1),X2) -> U32(X1,X2)
 U32(X1,active(X2)) -> U32(X1,X2)
 U33(mark(X)) -> U33(X)
 U33(active(X)) -> U33(X)
 U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
 U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
 U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
 U41(active(X1),X2,X3) -> U41(X1,X2,X3)
 U41(X1,active(X2),X3) -> U41(X1,X2,X3)
 U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
 U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
 U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
 U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
 U42(active(X1),X2,X3) -> U42(X1,X2,X3)
 U42(X1,active(X2),X3) -> U42(X1,X2,X3)
 U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
 U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
 U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
 U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
 U43(active(X1),X2,X3) -> U43(X1,X2,X3)
 U43(X1,active(X2),X3) -> U43(X1,X2,X3)
 U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
 U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
 U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
 U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
 U44(active(X1),X2,X3) -> U44(X1,X2,X3)
 U44(X1,active(X2),X3) -> U44(X1,X2,X3)
 U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
 U45(mark(X1),X2) -> U45(X1,X2)
 U45(X1,mark(X2)) -> U45(X1,X2)
 U45(active(X1),X2) -> U45(X1,X2)
 U45(X1,active(X2)) -> U45(X1,X2)
 U46(mark(X)) -> U46(X)
 U46(active(X)) -> U46(X)
 isNatIList(mark(X)) -> isNatIList(X)
 isNatIList(active(X)) -> isNatIList(X)
 U51(mark(X1),X2) -> U51(X1,X2)
 U51(X1,mark(X2)) -> U51(X1,X2)
 U51(active(X1),X2) -> U51(X1,X2)
 U51(X1,active(X2)) -> U51(X1,X2)
 U52(mark(X)) -> U52(X)
 U52(active(X)) -> U52(X)
 U61(mark(X)) -> U61(X)
 U61(active(X)) -> U61(X)
 U71(mark(X)) -> U71(X)
 U71(active(X)) -> U71(X)
 U81(mark(X1),X2,X3) -> U81(X1,X2,X3)
 U81(X1,mark(X2),X3) -> U81(X1,X2,X3)
 U81(X1,X2,mark(X3)) -> U81(X1,X2,X3)
 U81(active(X1),X2,X3) -> U81(X1,X2,X3)
 U81(X1,active(X2),X3) -> U81(X1,X2,X3)
 U81(X1,X2,active(X3)) -> U81(X1,X2,X3)
 U82(mark(X1),X2,X3) -> U82(X1,X2,X3)
 U82(X1,mark(X2),X3) -> U82(X1,X2,X3)
 U82(X1,X2,mark(X3)) -> U82(X1,X2,X3)
 U82(active(X1),X2,X3) -> U82(X1,X2,X3)
 U82(X1,active(X2),X3) -> U82(X1,X2,X3)
 U82(X1,X2,active(X3)) -> U82(X1,X2,X3)
 U83(mark(X1),X2,X3) -> U83(X1,X2,X3)
 U83(X1,mark(X2),X3) -> U83(X1,X2,X3)
 U83(X1,X2,mark(X3)) -> U83(X1,X2,X3)
 U83(active(X1),X2,X3) -> U83(X1,X2,X3)
 U83(X1,active(X2),X3) -> U83(X1,X2,X3)
 U83(X1,X2,active(X3)) -> U83(X1,X2,X3)
 U84(mark(X1),X2,X3) -> U84(X1,X2,X3)
 U84(X1,mark(X2),X3) -> U84(X1,X2,X3)
 U84(X1,X2,mark(X3)) -> U84(X1,X2,X3)
 U84(active(X1),X2,X3) -> U84(X1,X2,X3)
 U84(X1,active(X2),X3) -> U84(X1,X2,X3)
 U84(X1,X2,active(X3)) -> U84(X1,X2,X3)
 U85(mark(X1),X2) -> U85(X1,X2)
 U85(X1,mark(X2)) -> U85(X1,X2)
 U85(active(X1),X2) -> U85(X1,X2)
 U85(X1,active(X2)) -> U85(X1,X2)
 U86(mark(X)) -> U86(X)
 U86(active(X)) -> U86(X)
 U91(mark(X1),X2,X3) -> U91(X1,X2,X3)
 U91(X1,mark(X2),X3) -> U91(X1,X2,X3)
 U91(X1,X2,mark(X3)) -> U91(X1,X2,X3)
 U91(active(X1),X2,X3) -> U91(X1,X2,X3)
 U91(X1,active(X2),X3) -> U91(X1,X2,X3)
 U91(X1,X2,active(X3)) -> U91(X1,X2,X3)
 U92(mark(X1),X2,X3) -> U92(X1,X2,X3)
 U92(X1,mark(X2),X3) -> U92(X1,X2,X3)
 U92(X1,X2,mark(X3)) -> U92(X1,X2,X3)
 U92(active(X1),X2,X3) -> U92(X1,X2,X3)
 U92(X1,active(X2),X3) -> U92(X1,X2,X3)
 U92(X1,X2,active(X3)) -> U92(X1,X2,X3)
 U93(mark(X1),X2,X3) -> U93(X1,X2,X3)
 U93(X1,mark(X2),X3) -> U93(X1,X2,X3)
 U93(X1,X2,mark(X3)) -> U93(X1,X2,X3)
 U93(active(X1),X2,X3) -> U93(X1,X2,X3)
 U93(X1,active(X2),X3) -> U93(X1,X2,X3)
 U93(X1,X2,active(X3)) -> U93(X1,X2,X3)
 U94(mark(X1),X2) -> U94(X1,X2)
 U94(X1,mark(X2)) -> U94(X1,X2)
 U94(active(X1),X2) -> U94(X1,X2)
 U94(X1,active(X2)) -> U94(X1,X2)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 length(mark(X)) -> length(X)
 length(active(X)) -> length(X)

Proof:
 Open