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


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NO

Problem 1: 

(VAR IL L M N X)
(RULES
U11(tt) -> U12(isNatList)
U12(tt) -> tt
U21(tt) -> U22(isNat)
U22(tt) -> tt
U31(tt) -> U32(isNatList)
U32(tt) -> tt
U41(tt) -> U42(isNat)
U42(tt) -> U43(isNatIList)
U43(tt) -> tt
U51(tt) -> U52(isNat)
U52(tt) -> U53(isNatList)
U53(tt) -> tt
U61(tt) -> U62(isNat)
U62(tt) -> U63(isNatIList)
U63(tt) -> tt
U71(tt) -> s(length(L))
U81(tt) -> nil
U91(tt) -> cons(N)
and(tt) -> X
isNat -> U11(isNatIListKind)
isNat -> U21(isNatKind)
isNat -> tt
isNatIList -> U31(isNatIListKind)
isNatIList -> U41(and(isNatKind))
isNatIList -> tt
isNatIListKind -> and(isNatKind)
isNatIListKind -> tt
isNatKind -> isNatIListKind
isNatKind -> isNatKind
isNatKind -> tt
isNatList -> U51(and(isNatKind))
isNatList -> U61(and(isNatKind))
isNatList -> tt
length(cons(N)) -> U71(and(and(isNatList)))
length(nil) -> 0
take(0,IL) -> U81(and(isNatIList))
take(s(M),cons(N)) -> U91(and(and(isNatIList)))
zeros -> cons(0)
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 U11(tt) -> U12(isNatList)
 U12(tt) -> tt
 U21(tt) -> U22(isNat)
 U22(tt) -> tt
 U31(tt) -> U32(isNatList)
 U32(tt) -> tt
 U41(tt) -> U42(isNat)
 U42(tt) -> U43(isNatIList)
 U43(tt) -> tt
 U51(tt) -> U52(isNat)
 U52(tt) -> U53(isNatList)
 U53(tt) -> tt
 U61(tt) -> U62(isNat)
 U62(tt) -> U63(isNatIList)
 U63(tt) -> tt
 U71(tt) -> s(length(L))
 U81(tt) -> nil
 U91(tt) -> cons(N)
 and(tt) -> X
 isNat -> U11(isNatIListKind)
 isNat -> U21(isNatKind)
 isNat -> tt
 isNatIList -> U31(isNatIListKind)
 isNatIList -> U41(and(isNatKind))
 isNatIList -> tt
 isNatIListKind -> and(isNatKind)
 isNatIListKind -> tt
 isNatKind -> isNatIListKind
 isNatKind -> isNatKind
 isNatKind -> tt
 isNatList -> U51(and(isNatKind))
 isNatList -> U61(and(isNatKind))
 isNatList -> tt
 length(cons(N)) -> U71(and(and(isNatList)))
 length(nil) -> 0
 take(0,IL) -> U81(and(isNatIList))
 take(s(M),cons(N)) -> U91(and(and(isNatIList)))
 zeros -> cons(0)
-> The system has extra variables.

The problem is infinite.