/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO

Problem 1: 

(VAR IL L M N)
(RULES
U101(tt) -> U102(isNatKind)
U102(tt) -> U103(isNatIListKind)
U103(tt) -> U104(isNatIListKind)
U104(tt) -> U105(isNat)
U105(tt) -> U106(isNatIList)
U106(tt) -> tt
U11(tt) -> U12(isNatIListKind)
U111(tt) -> U112(isNatIListKind)
U112(tt) -> U113(isNat)
U113(tt) -> U114(isNatKind)
U114(tt) -> s(length(L))
U12(tt) -> U13(isNatList)
U121(tt) -> U122(isNatIListKind)
U122(tt) -> nil
U13(tt) -> tt
U131(tt) -> U132(isNatIListKind)
U132(tt) -> U133(isNat)
U133(tt) -> U134(isNatKind)
U134(tt) -> U135(isNat)
U135(tt) -> U136(isNatKind)
U136(tt) -> cons(N)
U21(tt) -> U22(isNatKind)
U22(tt) -> U23(isNat)
U23(tt) -> tt
U31(tt) -> U32(isNatIListKind)
U32(tt) -> U33(isNatList)
U33(tt) -> tt
U41(tt) -> U42(isNatKind)
U42(tt) -> U43(isNatIListKind)
U43(tt) -> U44(isNatIListKind)
U44(tt) -> U45(isNat)
U45(tt) -> U46(isNatIList)
U46(tt) -> tt
U51(tt) -> U52(isNatIListKind)
U52(tt) -> tt
U61(tt) -> U62(isNatIListKind)
U62(tt) -> tt
U71(tt) -> tt
U81(tt) -> tt
U91(tt) -> U92(isNatKind)
U92(tt) -> U93(isNatIListKind)
U93(tt) -> U94(isNatIListKind)
U94(tt) -> U95(isNat)
U95(tt) -> U96(isNatList)
U96(tt) -> tt
isNat -> U11(isNatIListKind)
isNat -> U21(isNatKind)
isNat -> tt
isNatIList -> U31(isNatIListKind)
isNatIList -> U41(isNatKind)
isNatIList -> tt
isNatIListKind -> U51(isNatKind)
isNatIListKind -> U61(isNatKind)
isNatIListKind -> tt
isNatKind -> U71(isNatIListKind)
isNatKind -> U81(isNatKind)
isNatKind -> tt
isNatList -> U101(isNatKind)
isNatList -> U91(isNatKind)
isNatList -> tt
length(cons(N)) -> U111(isNatList)
length(nil) -> 0
take(0,IL) -> U121(isNatIList)
take(s(M),cons(N)) -> U131(isNatIList)
zeros -> cons(0)
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 U101(tt) -> U102(isNatKind)
 U102(tt) -> U103(isNatIListKind)
 U103(tt) -> U104(isNatIListKind)
 U104(tt) -> U105(isNat)
 U105(tt) -> U106(isNatIList)
 U106(tt) -> tt
 U11(tt) -> U12(isNatIListKind)
 U111(tt) -> U112(isNatIListKind)
 U112(tt) -> U113(isNat)
 U113(tt) -> U114(isNatKind)
 U114(tt) -> s(length(L))
 U12(tt) -> U13(isNatList)
 U121(tt) -> U122(isNatIListKind)
 U122(tt) -> nil
 U13(tt) -> tt
 U131(tt) -> U132(isNatIListKind)
 U132(tt) -> U133(isNat)
 U133(tt) -> U134(isNatKind)
 U134(tt) -> U135(isNat)
 U135(tt) -> U136(isNatKind)
 U136(tt) -> cons(N)
 U21(tt) -> U22(isNatKind)
 U22(tt) -> U23(isNat)
 U23(tt) -> tt
 U31(tt) -> U32(isNatIListKind)
 U32(tt) -> U33(isNatList)
 U33(tt) -> tt
 U41(tt) -> U42(isNatKind)
 U42(tt) -> U43(isNatIListKind)
 U43(tt) -> U44(isNatIListKind)
 U44(tt) -> U45(isNat)
 U45(tt) -> U46(isNatIList)
 U46(tt) -> tt
 U51(tt) -> U52(isNatIListKind)
 U52(tt) -> tt
 U61(tt) -> U62(isNatIListKind)
 U62(tt) -> tt
 U71(tt) -> tt
 U81(tt) -> tt
 U91(tt) -> U92(isNatKind)
 U92(tt) -> U93(isNatIListKind)
 U93(tt) -> U94(isNatIListKind)
 U94(tt) -> U95(isNat)
 U95(tt) -> U96(isNatList)
 U96(tt) -> tt
 isNat -> U11(isNatIListKind)
 isNat -> U21(isNatKind)
 isNat -> tt
 isNatIList -> U31(isNatIListKind)
 isNatIList -> U41(isNatKind)
 isNatIList -> tt
 isNatIListKind -> U51(isNatKind)
 isNatIListKind -> U61(isNatKind)
 isNatIListKind -> tt
 isNatKind -> U71(isNatIListKind)
 isNatKind -> U81(isNatKind)
 isNatKind -> tt
 isNatList -> U101(isNatKind)
 isNatList -> U91(isNatKind)
 isNatList -> tt
 length(cons(N)) -> U111(isNatList)
 length(nil) -> 0
 take(0,IL) -> U121(isNatIList)
 take(s(M),cons(N)) -> U131(isNatIList)
 zeros -> cons(0)
-> The system has extra variables.

The problem is infinite.