/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:
 a__zeros() -> cons(0(),zeros())
 a__U11(tt(),L) -> s(a__length(mark(L)))
 a__U21(tt()) -> nil()
 a__U31(tt(),IL,M,N) -> cons(mark(N),take(M,IL))
 a__and(tt(),X) -> mark(X)
 a__isNat(0()) -> tt()
 a__isNat(length(V1)) -> a__isNatList(V1)
 a__isNat(s(V1)) -> a__isNat(V1)
 a__isNatIList(V) -> a__isNatList(V)
 a__isNatIList(zeros()) -> tt()
 a__isNatIList(cons(V1,V2)) -> a__and(a__isNat(V1),isNatIList(V2))
 a__isNatList(nil()) -> tt()
 a__isNatList(cons(V1,V2)) -> a__and(a__isNat(V1),isNatList(V2))
 a__isNatList(take(V1,V2)) -> a__and(a__isNat(V1),isNatIList(V2))
 a__length(nil()) -> 0()
 a__length(cons(N,L)) -> a__U11(a__and(a__isNatList(L),isNat(N)),L)
 a__take(0(),IL) -> a__U21(a__isNatIList(IL))
 a__take(s(M),cons(N,IL)) -> a__U31(a__and(a__isNatIList(IL),and(isNat(M),isNat(N))),IL,M,N)
 mark(zeros()) -> a__zeros()
 mark(U11(X1,X2)) -> a__U11(mark(X1),X2)
 mark(length(X)) -> a__length(mark(X))
 mark(U21(X)) -> a__U21(mark(X))
 mark(U31(X1,X2,X3,X4)) -> a__U31(mark(X1),X2,X3,X4)
 mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
 mark(and(X1,X2)) -> a__and(mark(X1),X2)
 mark(isNat(X)) -> a__isNat(X)
 mark(isNatList(X)) -> a__isNatList(X)
 mark(isNatIList(X)) -> a__isNatIList(X)
 mark(cons(X1,X2)) -> cons(mark(X1),X2)
 mark(0()) -> 0()
 mark(tt()) -> tt()
 mark(s(X)) -> s(mark(X))
 mark(nil()) -> nil()
 a__zeros() -> zeros()
 a__U11(X1,X2) -> U11(X1,X2)
 a__length(X) -> length(X)
 a__U21(X) -> U21(X)
 a__U31(X1,X2,X3,X4) -> U31(X1,X2,X3,X4)
 a__take(X1,X2) -> take(X1,X2)
 a__and(X1,X2) -> and(X1,X2)
 a__isNat(X) -> isNat(X)
 a__isNatList(X) -> isNatList(X)
 a__isNatIList(X) -> isNatIList(X)

Proof:
 Open