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TRS Conte Sensi 17651 pair #381733254
details
property
value
status
complete
benchmark
MYNAT_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n002.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0257019996643 seconds
cpu usage
0.022164697
max memory
2347008.0
stage attributes
key
value
output-size
10636
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) (STRATEGY CONTEXTSENSITIVE (U11 1) (U12 1) (U21 1) (U31 1) (U32 1) (U41 1) (U51 1) (U52 1) (U61 1) (U71 1) (U72 1) (isNat) (plus 1 2) (x 1 2) (0) (s 1) (tt) ) (RULES U11(tt,V2) -> U12(isNat(V2)) U12(tt) -> tt U21(tt) -> tt U31(tt,V2) -> U32(isNat(V2)) U32(tt) -> tt U41(tt,N) -> N U51(tt,M,N) -> U52(isNat(N),M,N) U52(tt,M,N) -> s(plus(N,M)) U61(tt) -> 0 U71(tt,M,N) -> U72(isNat(N),M,N) U72(tt,M,N) -> plus(x(N,M),N) isNat(plus(V1,V2)) -> U11(isNat(V1),V2) isNat(x(V1,V2)) -> U31(isNat(V1),V2) isNat(0) -> tt isNat(s(V1)) -> U21(isNat(V1)) plus(N,0) -> U41(isNat(N),N) plus(N,s(M)) -> U51(isNat(M),M,N) x(N,0) -> U61(isNat(N)) x(N,s(M)) -> U71(isNat(M),M,N) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V2) -> U12#(isNat(V2)) U11#(tt,V2) -> ISNAT(V2) U31#(tt,V2) -> U32#(isNat(V2)) U31#(tt,V2) -> ISNAT(V2) U41#(tt,N) -> N U51#(tt,M,N) -> U52#(isNat(N),M,N) U51#(tt,M,N) -> ISNAT(N) U52#(tt,M,N) -> PLUS(N,M) U52#(tt,M,N) -> M U52#(tt,M,N) -> N U71#(tt,M,N) -> U72#(isNat(N),M,N) U71#(tt,M,N) -> ISNAT(N) U72#(tt,M,N) -> PLUS(x(N,M),N) U72#(tt,M,N) -> X(N,M) U72#(tt,M,N) -> M U72#(tt,M,N) -> N ISNAT(plus(V1,V2)) -> U11#(isNat(V1),V2) ISNAT(plus(V1,V2)) -> ISNAT(V1) ISNAT(x(V1,V2)) -> U31#(isNat(V1),V2) ISNAT(x(V1,V2)) -> ISNAT(V1) ISNAT(s(V1)) -> U21#(isNat(V1)) ISNAT(s(V1)) -> ISNAT(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: U11(tt,V2) -> U12(isNat(V2)) U12(tt) -> tt U21(tt) -> tt U31(tt,V2) -> U32(isNat(V2)) U32(tt) -> tt U41(tt,N) -> N U51(tt,M,N) -> U52(isNat(N),M,N) U52(tt,M,N) -> s(plus(N,M)) U61(tt) -> 0 U71(tt,M,N) -> U72(isNat(N),M,N) U72(tt,M,N) -> plus(x(N,M),N) isNat(plus(V1,V2)) -> U11(isNat(V1),V2) isNat(x(V1,V2)) -> U31(isNat(V1),V2)
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