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TRS Stand 20472 pair #381715901
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
n023.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
180.047564983 seconds
cpu usage
172.842152888
max memory
3.8043648E7
stage attributes
key
value
output-size
135085
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 M N V1 V2 X X1 X2) (RULES 0 -> n__0 U11(tt,V2) -> U12(isNat(activate(V2))) U12(tt) -> tt U21(tt) -> tt U31(tt,V2) -> U32(isNat(activate(V2))) U32(tt) -> tt U41(tt,N) -> activate(N) U51(tt,M,N) -> U52(isNat(activate(N)),activate(M),activate(N)) U52(tt,M,N) -> s(plus(activate(N),activate(M))) U61(tt) -> 0 U71(tt,M,N) -> U72(isNat(activate(N)),activate(M),activate(N)) U72(tt,M,N) -> plus(x(activate(N),activate(M)),activate(N)) activate(n__0) -> 0 activate(n__plus(X1,X2)) -> plus(X1,X2) activate(n__s(X)) -> s(X) activate(n__x(X1,X2)) -> x(X1,X2) activate(X) -> X isNat(n__0) -> tt isNat(n__plus(V1,V2)) -> U11(isNat(activate(V1)),activate(V2)) isNat(n__s(V1)) -> U21(isNat(activate(V1))) isNat(n__x(V1,V2)) -> U31(isNat(activate(V1)),activate(V2)) plus(N,0) -> U41(isNat(N),N) plus(N,s(M)) -> U51(isNat(M),M,N) plus(X1,X2) -> n__plus(X1,X2) s(X) -> n__s(X) x(N,0) -> U61(isNat(N)) x(N,s(M)) -> U71(isNat(M),M,N) x(X1,X2) -> n__x(X1,X2) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V2) -> U12#(isNat(activate(V2))) U11#(tt,V2) -> ACTIVATE(V2) U11#(tt,V2) -> ISNAT(activate(V2)) U31#(tt,V2) -> U32#(isNat(activate(V2))) U31#(tt,V2) -> ACTIVATE(V2) U31#(tt,V2) -> ISNAT(activate(V2)) U41#(tt,N) -> ACTIVATE(N) U51#(tt,M,N) -> U52#(isNat(activate(N)),activate(M),activate(N)) U51#(tt,M,N) -> ACTIVATE(M) U51#(tt,M,N) -> ACTIVATE(N) U51#(tt,M,N) -> ISNAT(activate(N)) U52#(tt,M,N) -> ACTIVATE(M) U52#(tt,M,N) -> ACTIVATE(N) U52#(tt,M,N) -> PLUS(activate(N),activate(M)) U52#(tt,M,N) -> S(plus(activate(N),activate(M))) U61#(tt) -> 0# U71#(tt,M,N) -> U72#(isNat(activate(N)),activate(M),activate(N)) U71#(tt,M,N) -> ACTIVATE(M) U71#(tt,M,N) -> ACTIVATE(N) U71#(tt,M,N) -> ISNAT(activate(N)) U72#(tt,M,N) -> ACTIVATE(M) U72#(tt,M,N) -> ACTIVATE(N) U72#(tt,M,N) -> PLUS(x(activate(N),activate(M)),activate(N)) U72#(tt,M,N) -> X(activate(N),activate(M)) ACTIVATE(n__0) -> 0# ACTIVATE(n__plus(X1,X2)) -> PLUS(X1,X2) ACTIVATE(n__s(X)) -> S(X) ACTIVATE(n__x(X1,X2)) -> X(X1,X2) ISNAT(n__plus(V1,V2)) -> U11#(isNat(activate(V1)),activate(V2)) ISNAT(n__plus(V1,V2)) -> ACTIVATE(V1) ISNAT(n__plus(V1,V2)) -> ACTIVATE(V2) ISNAT(n__plus(V1,V2)) -> ISNAT(activate(V1)) ISNAT(n__s(V1)) -> U21#(isNat(activate(V1))) ISNAT(n__s(V1)) -> ACTIVATE(V1) ISNAT(n__s(V1)) -> ISNAT(activate(V1)) ISNAT(n__x(V1,V2)) -> U31#(isNat(activate(V1)),activate(V2)) ISNAT(n__x(V1,V2)) -> ACTIVATE(V1) ISNAT(n__x(V1,V2)) -> ACTIVATE(V2) ISNAT(n__x(V1,V2)) -> ISNAT(activate(V1)) PLUS(N,0) -> U41#(isNat(N),N) PLUS(N,0) -> ISNAT(N) PLUS(N,s(M)) -> U51#(isNat(M),M,N) PLUS(N,s(M)) -> ISNAT(M) X(N,0) -> U61#(isNat(N)) X(N,0) -> ISNAT(N) X(N,s(M)) -> U71#(isNat(M),M,N) X(N,s(M)) -> ISNAT(M) -> Rules: 0 -> n__0 U11(tt,V2) -> U12(isNat(activate(V2))) U12(tt) -> tt U21(tt) -> tt U31(tt,V2) -> U32(isNat(activate(V2))) U32(tt) -> tt
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