/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 M N)
(RULES
U11(tt) -> U12(isNatKind)
U12(tt) -> U13(isNatKind)
U13(tt) -> U14(isNatKind)
U14(tt) -> U15(isNat)
U15(tt) -> U16(isNat)
U16(tt) -> tt
U21(tt) -> U22(isNatKind)
U22(tt) -> U23(isNat)
U23(tt) -> tt
U31(tt) -> U32(isNatKind)
U32(tt) -> tt
U41(tt) -> tt
U51(tt) -> U52(isNatKind)
U52(tt) -> N
U61(tt) -> U62(isNatKind)
U62(tt) -> U63(isNat)
U63(tt) -> U64(isNatKind)
U64(tt) -> s(plus(N,M))
isNat -> U11(isNatKind)
isNat -> U21(isNatKind)
isNat -> tt
isNatKind -> U31(isNatKind)
isNatKind -> U41(isNatKind)
isNatKind -> tt
plus(N,0) -> U51(isNat)
plus(N,s(M)) -> U61(isNat)
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 U11(tt) -> U12(isNatKind)
 U12(tt) -> U13(isNatKind)
 U13(tt) -> U14(isNatKind)
 U14(tt) -> U15(isNat)
 U15(tt) -> U16(isNat)
 U16(tt) -> tt
 U21(tt) -> U22(isNatKind)
 U22(tt) -> U23(isNat)
 U23(tt) -> tt
 U31(tt) -> U32(isNatKind)
 U32(tt) -> tt
 U41(tt) -> tt
 U51(tt) -> U52(isNatKind)
 U52(tt) -> N
 U61(tt) -> U62(isNatKind)
 U62(tt) -> U63(isNat)
 U63(tt) -> U64(isNatKind)
 U64(tt) -> s(plus(N,M))
 isNat -> U11(isNatKind)
 isNat -> U21(isNatKind)
 isNat -> tt
 isNatKind -> U31(isNatKind)
 isNatKind -> U41(isNatKind)
 isNatKind -> tt
 plus(N,0) -> U51(isNat)
 plus(N,s(M)) -> U61(isNat)
-> The system has extra variables.

The problem is infinite.