/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(),L,N)) -> mark(U62(isNat(N),L))
 active(U62(tt(),L)) -> mark(s(length(L)))
 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(length(nil())) -> mark(0())
 active(length(cons(N,L))) -> mark(U61(isNatList(L),L,N))
 active(cons(X1,X2)) -> cons(active(X1),X2)
 active(U11(X)) -> U11(active(X))
 active(U21(X)) -> U21(active(X))
 active(U31(X)) -> U31(active(X))
 active(U41(X1,X2)) -> U41(active(X1),X2)
 active(U42(X)) -> U42(active(X))
 active(U51(X1,X2)) -> U51(active(X1),X2)
 active(U52(X)) -> U52(active(X))
 active(U61(X1,X2,X3)) -> U61(active(X1),X2,X3)
 active(U62(X1,X2)) -> U62(active(X1),X2)
 active(s(X)) -> s(active(X))
 active(length(X)) -> length(active(X))
 cons(mark(X1),X2) -> mark(cons(X1,X2))
 U11(mark(X)) -> mark(U11(X))
 U21(mark(X)) -> mark(U21(X))
 U31(mark(X)) -> mark(U31(X))
 U41(mark(X1),X2) -> mark(U41(X1,X2))
 U42(mark(X)) -> mark(U42(X))
 U51(mark(X1),X2) -> mark(U51(X1,X2))
 U52(mark(X)) -> mark(U52(X))
 U61(mark(X1),X2,X3) -> mark(U61(X1,X2,X3))
 U62(mark(X1),X2) -> mark(U62(X1,X2))
 s(mark(X)) -> mark(s(X))
 length(mark(X)) -> mark(length(X))
 proper(zeros()) -> ok(zeros())
 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
 proper(0()) -> ok(0())
 proper(U11(X)) -> U11(proper(X))
 proper(tt()) -> ok(tt())
 proper(U21(X)) -> U21(proper(X))
 proper(U31(X)) -> U31(proper(X))
 proper(U41(X1,X2)) -> U41(proper(X1),proper(X2))
 proper(U42(X)) -> U42(proper(X))
 proper(isNatIList(X)) -> isNatIList(proper(X))
 proper(U51(X1,X2)) -> U51(proper(X1),proper(X2))
 proper(U52(X)) -> U52(proper(X))
 proper(isNatList(X)) -> isNatList(proper(X))
 proper(U61(X1,X2,X3)) -> U61(proper(X1),proper(X2),proper(X3))
 proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
 proper(isNat(X)) -> isNat(proper(X))
 proper(s(X)) -> s(proper(X))
 proper(length(X)) -> length(proper(X))
 proper(nil()) -> ok(nil())
 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
 U11(ok(X)) -> ok(U11(X))
 U21(ok(X)) -> ok(U21(X))
 U31(ok(X)) -> ok(U31(X))
 U41(ok(X1),ok(X2)) -> ok(U41(X1,X2))
 U42(ok(X)) -> ok(U42(X))
 isNatIList(ok(X)) -> ok(isNatIList(X))
 U51(ok(X1),ok(X2)) -> ok(U51(X1,X2))
 U52(ok(X)) -> ok(U52(X))
 isNatList(ok(X)) -> ok(isNatList(X))
 U61(ok(X1),ok(X2),ok(X3)) -> ok(U61(X1,X2,X3))
 U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
 isNat(ok(X)) -> ok(isNat(X))
 s(ok(X)) -> ok(s(X))
 length(ok(X)) -> ok(length(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Open