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


--------------------------------------------------------------------------------


NO

Problem 1: 

(VAR v_NonEmpty:S M:S N:S)
(RULES
U11(tt) -> U12(isNat)
U12(tt) -> tt
U21(tt) -> tt
U31(tt) -> U32(isNat)
U32(tt) -> tt
U41(tt) -> N:S
U51(tt) -> U52(isNat)
U52(tt) -> s(plus(N:S,M:S))
U61(tt) -> 0
U71(tt) -> U72(isNat)
U72(tt) -> plus(x(N:S,M:S),N:S)
isNat -> U11(isNat)
isNat -> U21(isNat)
isNat -> U31(isNat)
isNat -> tt
plus(N:S,0) -> U41(isNat)
plus(N:S,s(M:S)) -> U51(isNat)
x(N:S,0) -> U61(isNat)
x(N:S,s(M:S)) -> U71(isNat)
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 U11(tt) -> U12(isNat)
 U12(tt) -> tt
 U21(tt) -> tt
 U31(tt) -> U32(isNat)
 U32(tt) -> tt
 U41(tt) -> N:S
 U51(tt) -> U52(isNat)
 U52(tt) -> s(plus(N:S,M:S))
 U61(tt) -> 0
 U71(tt) -> U72(isNat)
 U72(tt) -> plus(x(N:S,M:S),N:S)
 isNat -> U11(isNat)
 isNat -> U21(isNat)
 isNat -> U31(isNat)
 isNat -> tt
 plus(N:S,0) -> U41(isNat)
 plus(N:S,s(M:S)) -> U51(isNat)
 x(N:S,0) -> U61(isNat)
 x(N:S,s(M:S)) -> U71(isNat)
-> The system has extra variables.

The problem is infinite.