/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:
 active(zeros()) -> mark(cons(0(),zeros()))
 active(U11(tt())) -> mark(tt())
 active(U21(tt())) -> mark(tt())
 active(U31(tt())) -> mark(tt())
 active(U41(tt(),V2)) -> mark(U42(isNatIList(V2)))
 active(U42(tt())) -> mark(tt())
 active(U51(tt(),V2)) -> mark(U52(isNatList(V2)))
 active(U52(tt())) -> mark(tt())
 active(U61(tt(),V2)) -> mark(U62(isNatIList(V2)))
 active(U62(tt())) -> mark(tt())
 active(U71(tt(),L,N)) -> mark(U72(isNat(N),L))
 active(U72(tt(),L)) -> mark(s(length(L)))
 active(U81(tt())) -> mark(nil())
 active(U91(tt(),IL,M,N)) -> mark(U92(isNat(M),IL,M,N))
 active(U92(tt(),IL,M,N)) -> mark(U93(isNat(N),IL,M,N))
 active(U93(tt(),IL,M,N)) -> mark(cons(N,take(M,IL)))
 active(isNat(0())) -> mark(tt())
 active(isNat(length(V1))) -> mark(U11(isNatList(V1)))
 active(isNat(s(V1))) -> mark(U21(isNat(V1)))
 active(isNatIList(V)) -> mark(U31(isNatList(V)))
 active(isNatIList(zeros())) -> mark(tt())
 active(isNatIList(cons(V1,V2))) -> mark(U41(isNat(V1),V2))
 active(isNatList(nil())) -> mark(tt())
 active(isNatList(cons(V1,V2))) -> mark(U51(isNat(V1),V2))
 active(isNatList(take(V1,V2))) -> mark(U61(isNat(V1),V2))
 active(length(nil())) -> mark(0())
 active(length(cons(N,L))) -> mark(U71(isNatList(L),L,N))
 active(take(0(),IL)) -> mark(U81(isNatIList(IL)))
 active(take(s(M),cons(N,IL))) -> mark(U91(isNatIList(IL),IL,M,N))
 mark(zeros()) -> active(zeros())
 mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
 mark(0()) -> active(0())
 mark(U11(X)) -> active(U11(mark(X)))
 mark(tt()) -> active(tt())
 mark(U21(X)) -> active(U21(mark(X)))
 mark(U31(X)) -> active(U31(mark(X)))
 mark(U41(X1,X2)) -> active(U41(mark(X1),X2))
 mark(U42(X)) -> active(U42(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(isNatList(X)) -> active(isNatList(X))
 mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
 mark(U62(X)) -> active(U62(mark(X)))
 mark(U71(X1,X2,X3)) -> active(U71(mark(X1),X2,X3))
 mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
 mark(isNat(X)) -> active(isNat(X))
 mark(s(X)) -> active(s(mark(X)))
 mark(length(X)) -> active(length(mark(X)))
 mark(U81(X)) -> active(U81(mark(X)))
 mark(nil()) -> active(nil())
 mark(U91(X1,X2,X3,X4)) -> active(U91(mark(X1),X2,X3,X4))
 mark(U92(X1,X2,X3,X4)) -> active(U92(mark(X1),X2,X3,X4))
 mark(U93(X1,X2,X3,X4)) -> active(U93(mark(X1),X2,X3,X4))
 mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
 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(X)) -> U11(X)
 U11(active(X)) -> U11(X)
 U21(mark(X)) -> U21(X)
 U21(active(X)) -> U21(X)
 U31(mark(X)) -> U31(X)
 U31(active(X)) -> U31(X)
 U41(mark(X1),X2) -> U41(X1,X2)
 U41(X1,mark(X2)) -> U41(X1,X2)
 U41(active(X1),X2) -> U41(X1,X2)
 U41(X1,active(X2)) -> U41(X1,X2)
 U42(mark(X)) -> U42(X)
 U42(active(X)) -> U42(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)
 isNatList(mark(X)) -> isNatList(X)
 isNatList(active(X)) -> isNatList(X)
 U61(mark(X1),X2) -> U61(X1,X2)
 U61(X1,mark(X2)) -> U61(X1,X2)
 U61(active(X1),X2) -> U61(X1,X2)
 U61(X1,active(X2)) -> U61(X1,X2)
 U62(mark(X)) -> U62(X)
 U62(active(X)) -> U62(X)
 U71(mark(X1),X2,X3) -> U71(X1,X2,X3)
 U71(X1,mark(X2),X3) -> U71(X1,X2,X3)
 U71(X1,X2,mark(X3)) -> U71(X1,X2,X3)
 U71(active(X1),X2,X3) -> U71(X1,X2,X3)
 U71(X1,active(X2),X3) -> U71(X1,X2,X3)
 U71(X1,X2,active(X3)) -> U71(X1,X2,X3)
 U72(mark(X1),X2) -> U72(X1,X2)
 U72(X1,mark(X2)) -> U72(X1,X2)
 U72(active(X1),X2) -> U72(X1,X2)
 U72(X1,active(X2)) -> U72(X1,X2)
 isNat(mark(X)) -> isNat(X)
 isNat(active(X)) -> isNat(X)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 length(mark(X)) -> length(X)
 length(active(X)) -> length(X)
 U81(mark(X)) -> U81(X)
 U81(active(X)) -> U81(X)
 U91(mark(X1),X2,X3,X4) -> U91(X1,X2,X3,X4)
 U91(X1,mark(X2),X3,X4) -> U91(X1,X2,X3,X4)
 U91(X1,X2,mark(X3),X4) -> U91(X1,X2,X3,X4)
 U91(X1,X2,X3,mark(X4)) -> U91(X1,X2,X3,X4)
 U91(active(X1),X2,X3,X4) -> U91(X1,X2,X3,X4)
 U91(X1,active(X2),X3,X4) -> U91(X1,X2,X3,X4)
 U91(X1,X2,active(X3),X4) -> U91(X1,X2,X3,X4)
 U91(X1,X2,X3,active(X4)) -> U91(X1,X2,X3,X4)
 U92(mark(X1),X2,X3,X4) -> U92(X1,X2,X3,X4)
 U92(X1,mark(X2),X3,X4) -> U92(X1,X2,X3,X4)
 U92(X1,X2,mark(X3),X4) -> U92(X1,X2,X3,X4)
 U92(X1,X2,X3,mark(X4)) -> U92(X1,X2,X3,X4)
 U92(active(X1),X2,X3,X4) -> U92(X1,X2,X3,X4)
 U92(X1,active(X2),X3,X4) -> U92(X1,X2,X3,X4)
 U92(X1,X2,active(X3),X4) -> U92(X1,X2,X3,X4)
 U92(X1,X2,X3,active(X4)) -> U92(X1,X2,X3,X4)
 U93(mark(X1),X2,X3,X4) -> U93(X1,X2,X3,X4)
 U93(X1,mark(X2),X3,X4) -> U93(X1,X2,X3,X4)
 U93(X1,X2,mark(X3),X4) -> U93(X1,X2,X3,X4)
 U93(X1,X2,X3,mark(X4)) -> U93(X1,X2,X3,X4)
 U93(active(X1),X2,X3,X4) -> U93(X1,X2,X3,X4)
 U93(X1,active(X2),X3,X4) -> U93(X1,X2,X3,X4)
 U93(X1,X2,active(X3),X4) -> U93(X1,X2,X3,X4)
 U93(X1,X2,X3,active(X4)) -> U93(X1,X2,X3,X4)
 take(mark(X1),X2) -> take(X1,X2)
 take(X1,mark(X2)) -> take(X1,X2)
 take(active(X1),X2) -> take(X1,X2)
 take(X1,active(X2)) -> take(X1,X2)

Proof:
 Open