/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 v_NonEmpty:S M:S N:S X:S)
(RULES
U11(tt) -> N:S
U21(tt) -> s(plus(N:S,M:S))
U31(tt) -> 0
U41(tt) -> plus(x(N:S,M:S),N:S)
and(tt) -> X:S
isNat -> and(isNat)
isNat -> isNat
isNat -> tt
plus(N:S,0) -> U11(isNat)
plus(N:S,s(M:S)) -> U21(and(isNat))
x(N:S,0) -> U31(isNat)
x(N:S,s(M:S)) -> U41(and(isNat))
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 U11(tt) -> N:S
 U21(tt) -> s(plus(N:S,M:S))
 U31(tt) -> 0
 U41(tt) -> plus(x(N:S,M:S),N:S)
 and(tt) -> X:S
 isNat -> and(isNat)
 isNat -> isNat
 isNat -> tt
 plus(N:S,0) -> U11(isNat)
 plus(N:S,s(M:S)) -> U21(and(isNat))
 x(N:S,0) -> U31(isNat)
 x(N:S,s(M:S)) -> U41(and(isNat))
-> The system has extra variables.

The problem is infinite.