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TRS Standard pair #516962401
details
property
value
status
complete
benchmark
MYNAT_nokinds_noand_GM.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)
110.507683992 seconds
cpu usage
107.398824231
max memory
4.6952448E7
stage attributes
key
value
output-size
103361
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S X3:S) (RULES a__U11(tt,V2:S) -> a__U12(a__isNat(V2:S)) a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) a__U12(tt) -> tt a__U12(X:S) -> U12(X:S) a__U21(tt) -> tt a__U21(X:S) -> U21(X:S) a__U31(tt,V2:S) -> a__U32(a__isNat(V2:S)) a__U31(X1:S,X2:S) -> U31(X1:S,X2:S) a__U32(tt) -> tt a__U32(X:S) -> U32(X:S) a__U41(tt,N:S) -> mark(N:S) a__U41(X1:S,X2:S) -> U41(X1:S,X2:S) a__U51(tt,M:S,N:S) -> a__U52(a__isNat(N:S),M:S,N:S) a__U51(X1:S,X2:S,X3:S) -> U51(X1:S,X2:S,X3:S) a__U52(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U52(X1:S,X2:S,X3:S) -> U52(X1:S,X2:S,X3:S) a__U61(tt) -> 0 a__U61(X:S) -> U61(X:S) a__U71(tt,M:S,N:S) -> a__U72(a__isNat(N:S),M:S,N:S) a__U71(X1:S,X2:S,X3:S) -> U71(X1:S,X2:S,X3:S) a__U72(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__U72(X1:S,X2:S,X3:S) -> U72(X1:S,X2:S,X3:S) a__isNat(0) -> tt a__isNat(plus(V1:S,V2:S)) -> a__U11(a__isNat(V1:S),V2:S) a__isNat(s(V1:S)) -> a__U21(a__isNat(V1:S)) a__isNat(x(V1:S,V2:S)) -> a__U31(a__isNat(V1:S),V2:S) a__isNat(X:S) -> isNat(X:S) a__plus(N:S,0) -> a__U41(a__isNat(N:S),N:S) a__plus(N:S,s(M:S)) -> a__U51(a__isNat(M:S),M:S,N:S) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) a__x(N:S,0) -> a__U61(a__isNat(N:S)) a__x(N:S,s(M:S)) -> a__U71(a__isNat(M:S),M:S,N:S) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) mark(U12(X:S)) -> a__U12(mark(X:S)) mark(U21(X:S)) -> a__U21(mark(X:S)) mark(U31(X1:S,X2:S)) -> a__U31(mark(X1:S),X2:S) mark(U32(X:S)) -> a__U32(mark(X:S)) mark(U41(X1:S,X2:S)) -> a__U41(mark(X1:S),X2:S) mark(U51(X1:S,X2:S,X3:S)) -> a__U51(mark(X1:S),X2:S,X3:S) mark(U52(X1:S,X2:S,X3:S)) -> a__U52(mark(X1:S),X2:S,X3:S) mark(U61(X:S)) -> a__U61(mark(X:S)) mark(U71(X1:S,X2:S,X3:S)) -> a__U71(mark(X1:S),X2:S,X3:S) mark(U72(X1:S,X2:S,X3:S)) -> a__U72(mark(X1:S),X2:S,X3:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,V2:S) -> A__U12(a__isNat(V2:S)) A__U11(tt,V2:S) -> A__ISNAT(V2:S) A__U31(tt,V2:S) -> A__U32(a__isNat(V2:S)) A__U31(tt,V2:S) -> A__ISNAT(V2:S) A__U41(tt,N:S) -> MARK(N:S) A__U51(tt,M:S,N:S) -> A__U52(a__isNat(N:S),M:S,N:S) A__U51(tt,M:S,N:S) -> A__ISNAT(N:S) A__U52(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) A__U52(tt,M:S,N:S) -> MARK(M:S) A__U52(tt,M:S,N:S) -> MARK(N:S) A__U71(tt,M:S,N:S) -> A__U72(a__isNat(N:S),M:S,N:S) A__U71(tt,M:S,N:S) -> A__ISNAT(N:S) A__U72(tt,M:S,N:S) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__U72(tt,M:S,N:S) -> A__X(mark(N:S),mark(M:S)) A__U72(tt,M:S,N:S) -> MARK(M:S) A__U72(tt,M:S,N:S) -> MARK(N:S) A__ISNAT(plus(V1:S,V2:S)) -> A__U11(a__isNat(V1:S),V2:S) A__ISNAT(plus(V1:S,V2:S)) -> A__ISNAT(V1:S) A__ISNAT(s(V1:S)) -> A__U21(a__isNat(V1:S)) A__ISNAT(s(V1:S)) -> A__ISNAT(V1:S) A__ISNAT(x(V1:S,V2:S)) -> A__U31(a__isNat(V1:S),V2:S) A__ISNAT(x(V1:S,V2:S)) -> A__ISNAT(V1:S) A__PLUS(N:S,0) -> A__U41(a__isNat(N:S),N:S) A__PLUS(N:S,0) -> A__ISNAT(N:S) A__PLUS(N:S,s(M:S)) -> A__U51(a__isNat(M:S),M:S,N:S) A__PLUS(N:S,s(M:S)) -> A__ISNAT(M:S) A__X(N:S,0) -> A__U61(a__isNat(N:S)) A__X(N:S,0) -> A__ISNAT(N:S) A__X(N:S,s(M:S)) -> A__U71(a__isNat(M:S),M:S,N:S) A__X(N:S,s(M:S)) -> A__ISNAT(M:S) MARK(U11(X1:S,X2:S)) -> A__U11(mark(X1:S),X2:S) MARK(U11(X1:S,X2:S)) -> MARK(X1:S)
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