/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()) -> tt()
 U21(tt()) -> tt()
 U31(tt()) -> tt()
 U41(tt(),V2) -> U42(isNatIList(activate(V2)))
 U42(tt()) -> tt()
 U51(tt(),V2) -> U52(isNatList(activate(V2)))
 U52(tt()) -> tt()
 U61(tt(),V2) -> U62(isNatIList(activate(V2)))
 U62(tt()) -> tt()
 U71(tt(),L,N) -> U72(isNat(activate(N)),activate(L))
 U72(tt(),L) -> s(length(activate(L)))
 U81(tt()) -> nil()
 U91(tt(),IL,M,N) -> U92(isNat(activate(M)),activate(IL),activate(M),activate(N))
 U92(tt(),IL,M,N) -> U93(isNat(activate(N)),activate(IL),activate(M),activate(N))
 U93(tt(),IL,M,N) -> cons(activate(N),n__take(activate(M),activate(IL)))
 isNat(n__0()) -> tt()
 isNat(n__length(V1)) -> U11(isNatList(activate(V1)))
 isNat(n__s(V1)) -> U21(isNat(activate(V1)))
 isNatIList(V) -> U31(isNatList(activate(V)))
 isNatIList(n__zeros()) -> tt()
 isNatIList(n__cons(V1,V2)) -> U41(isNat(activate(V1)),activate(V2))
 isNatList(n__nil()) -> tt()
 isNatList(n__cons(V1,V2)) -> U51(isNat(activate(V1)),activate(V2))
 isNatList(n__take(V1,V2)) -> U61(isNat(activate(V1)),activate(V2))
 length(nil()) -> 0()
 length(cons(N,L)) -> U71(isNatList(activate(L)),activate(L),N)
 take(0(),IL) -> U81(isNatIList(IL))
 take(s(M),cons(N,IL)) -> U91(isNatIList(activate(IL)),activate(IL),M,N)
 zeros() -> n__zeros()
 take(X1,X2) -> n__take(X1,X2)
 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__take(X1,X2)) -> take(X1,X2)
 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