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TRS Standard pair #516961781
details
property
value
status
complete
benchmark
MYNAT_nokinds-noand_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n115.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
189.839007139 seconds
cpu usage
181.630094517
max memory
3.8363136E7
stage attributes
key
value
output-size
153813
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S) (RULES 0 -> n__0 U11(tt,V2:S) -> U12(isNat(activate(V2:S))) U12(tt) -> tt U21(tt) -> tt U31(tt,V2:S) -> U32(isNat(activate(V2:S))) U32(tt) -> tt U41(tt,N:S) -> activate(N:S) U51(tt,M:S,N:S) -> U52(isNat(activate(N:S)),activate(M:S),activate(N:S)) U52(tt,M:S,N:S) -> s(plus(activate(N:S),activate(M:S))) U61(tt) -> 0 U71(tt,M:S,N:S) -> U72(isNat(activate(N:S)),activate(M:S),activate(N:S)) U72(tt,M:S,N:S) -> plus(x(activate(N:S),activate(M:S)),activate(N:S)) activate(n__0) -> 0 activate(n__plus(X1:S,X2:S)) -> plus(X1:S,X2:S) activate(n__s(X:S)) -> s(X:S) activate(n__x(X1:S,X2:S)) -> x(X1:S,X2:S) activate(X:S) -> X:S isNat(n__0) -> tt isNat(n__plus(V1:S,V2:S)) -> U11(isNat(activate(V1:S)),activate(V2:S)) isNat(n__s(V1:S)) -> U21(isNat(activate(V1:S))) isNat(n__x(V1:S,V2:S)) -> U31(isNat(activate(V1:S)),activate(V2:S)) plus(N:S,0) -> U41(isNat(N:S),N:S) plus(N:S,s(M:S)) -> U51(isNat(M:S),M:S,N:S) plus(X1:S,X2:S) -> n__plus(X1:S,X2:S) s(X:S) -> n__s(X:S) x(N:S,0) -> U61(isNat(N:S)) x(N:S,s(M:S)) -> U71(isNat(M:S),M:S,N:S) x(X1:S,X2:S) -> n__x(X1:S,X2:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V2:S) -> U12#(isNat(activate(V2:S))) U11#(tt,V2:S) -> ACTIVATE(V2:S) U11#(tt,V2:S) -> ISNAT(activate(V2:S)) U31#(tt,V2:S) -> U32#(isNat(activate(V2:S))) U31#(tt,V2:S) -> ACTIVATE(V2:S) U31#(tt,V2:S) -> ISNAT(activate(V2:S)) U41#(tt,N:S) -> ACTIVATE(N:S) U51#(tt,M:S,N:S) -> U52#(isNat(activate(N:S)),activate(M:S),activate(N:S)) U51#(tt,M:S,N:S) -> ACTIVATE(M:S) U51#(tt,M:S,N:S) -> ACTIVATE(N:S) U51#(tt,M:S,N:S) -> ISNAT(activate(N:S)) U52#(tt,M:S,N:S) -> ACTIVATE(M:S) U52#(tt,M:S,N:S) -> ACTIVATE(N:S) U52#(tt,M:S,N:S) -> PLUS(activate(N:S),activate(M:S)) U52#(tt,M:S,N:S) -> S(plus(activate(N:S),activate(M:S))) U61#(tt) -> 0# U71#(tt,M:S,N:S) -> U72#(isNat(activate(N:S)),activate(M:S),activate(N:S)) U71#(tt,M:S,N:S) -> ACTIVATE(M:S) U71#(tt,M:S,N:S) -> ACTIVATE(N:S) U71#(tt,M:S,N:S) -> ISNAT(activate(N:S)) U72#(tt,M:S,N:S) -> ACTIVATE(M:S) U72#(tt,M:S,N:S) -> ACTIVATE(N:S) U72#(tt,M:S,N:S) -> PLUS(x(activate(N:S),activate(M:S)),activate(N:S)) U72#(tt,M:S,N:S) -> X(activate(N:S),activate(M:S)) ACTIVATE(n__0) -> 0# ACTIVATE(n__plus(X1:S,X2:S)) -> PLUS(X1:S,X2:S) ACTIVATE(n__s(X:S)) -> S(X:S) ACTIVATE(n__x(X1:S,X2:S)) -> X(X1:S,X2:S) ISNAT(n__plus(V1:S,V2:S)) -> U11#(isNat(activate(V1:S)),activate(V2:S)) ISNAT(n__plus(V1:S,V2:S)) -> ACTIVATE(V1:S) ISNAT(n__plus(V1:S,V2:S)) -> ACTIVATE(V2:S) ISNAT(n__plus(V1:S,V2:S)) -> ISNAT(activate(V1:S)) ISNAT(n__s(V1:S)) -> U21#(isNat(activate(V1:S))) ISNAT(n__s(V1:S)) -> ACTIVATE(V1:S) ISNAT(n__s(V1:S)) -> ISNAT(activate(V1:S)) ISNAT(n__x(V1:S,V2:S)) -> U31#(isNat(activate(V1:S)),activate(V2:S)) ISNAT(n__x(V1:S,V2:S)) -> ACTIVATE(V1:S) ISNAT(n__x(V1:S,V2:S)) -> ACTIVATE(V2:S) ISNAT(n__x(V1:S,V2:S)) -> ISNAT(activate(V1:S)) PLUS(N:S,0) -> U41#(isNat(N:S),N:S) PLUS(N:S,0) -> ISNAT(N:S) PLUS(N:S,s(M:S)) -> U51#(isNat(M:S),M:S,N:S) PLUS(N:S,s(M:S)) -> ISNAT(M:S) X(N:S,0) -> U61#(isNat(N:S)) X(N:S,0) -> ISNAT(N:S) X(N:S,s(M:S)) -> U71#(isNat(M:S),M:S,N:S) X(N:S,s(M:S)) -> ISNAT(M:S) -> Rules: 0 -> n__0 U11(tt,V2:S) -> U12(isNat(activate(V2:S))) U12(tt) -> tt U21(tt) -> tt U31(tt,V2:S) -> U32(isNat(activate(V2:S))) U32(tt) -> tt
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