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TRS Stand 20472 pair #381713191
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
n093.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
107.21304512 seconds
cpu usage
103.882448948
max memory
4.1213952E7
stage attributes
key
value
output-size
87986
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 X3) (RULES a__U11(tt,V2) -> a__U12(a__isNat(V2)) a__U11(X1,X2) -> U11(X1,X2) a__U12(tt) -> tt a__U12(X) -> U12(X) a__U21(tt) -> tt a__U21(X) -> U21(X) a__U31(tt,V2) -> a__U32(a__isNat(V2)) a__U31(X1,X2) -> U31(X1,X2) a__U32(tt) -> tt a__U32(X) -> U32(X) a__U41(tt,N) -> mark(N) a__U41(X1,X2) -> U41(X1,X2) a__U51(tt,M,N) -> a__U52(a__isNat(N),M,N) a__U51(X1,X2,X3) -> U51(X1,X2,X3) a__U52(tt,M,N) -> s(a__plus(mark(N),mark(M))) a__U52(X1,X2,X3) -> U52(X1,X2,X3) a__U61(tt) -> 0 a__U61(X) -> U61(X) a__U71(tt,M,N) -> a__U72(a__isNat(N),M,N) a__U71(X1,X2,X3) -> U71(X1,X2,X3) a__U72(tt,M,N) -> a__plus(a__x(mark(N),mark(M)),mark(N)) a__U72(X1,X2,X3) -> U72(X1,X2,X3) a__isNat(0) -> tt a__isNat(plus(V1,V2)) -> a__U11(a__isNat(V1),V2) a__isNat(s(V1)) -> a__U21(a__isNat(V1)) a__isNat(x(V1,V2)) -> a__U31(a__isNat(V1),V2) a__isNat(X) -> isNat(X) a__plus(N,0) -> a__U41(a__isNat(N),N) a__plus(N,s(M)) -> a__U51(a__isNat(M),M,N) a__plus(X1,X2) -> plus(X1,X2) a__x(N,0) -> a__U61(a__isNat(N)) a__x(N,s(M)) -> a__U71(a__isNat(M),M,N) a__x(X1,X2) -> x(X1,X2) mark(0) -> 0 mark(U11(X1,X2)) -> a__U11(mark(X1),X2) mark(U12(X)) -> a__U12(mark(X)) mark(U21(X)) -> a__U21(mark(X)) mark(U31(X1,X2)) -> a__U31(mark(X1),X2) mark(U32(X)) -> a__U32(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U51(X1,X2,X3)) -> a__U51(mark(X1),X2,X3) mark(U52(X1,X2,X3)) -> a__U52(mark(X1),X2,X3) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2,X3)) -> a__U71(mark(X1),X2,X3) mark(U72(X1,X2,X3)) -> a__U72(mark(X1),X2,X3) mark(isNat(X)) -> a__isNat(X) mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) mark(s(X)) -> s(mark(X)) mark(tt) -> tt mark(x(X1,X2)) -> a__x(mark(X1),mark(X2)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,V2) -> A__U12(a__isNat(V2)) A__U11(tt,V2) -> A__ISNAT(V2) A__U31(tt,V2) -> A__U32(a__isNat(V2)) A__U31(tt,V2) -> A__ISNAT(V2) A__U41(tt,N) -> MARK(N) A__U51(tt,M,N) -> A__U52(a__isNat(N),M,N) A__U51(tt,M,N) -> A__ISNAT(N) A__U52(tt,M,N) -> A__PLUS(mark(N),mark(M)) A__U52(tt,M,N) -> MARK(M) A__U52(tt,M,N) -> MARK(N) A__U71(tt,M,N) -> A__U72(a__isNat(N),M,N) A__U71(tt,M,N) -> A__ISNAT(N) A__U72(tt,M,N) -> A__PLUS(a__x(mark(N),mark(M)),mark(N)) A__U72(tt,M,N) -> A__X(mark(N),mark(M)) A__U72(tt,M,N) -> MARK(M) A__U72(tt,M,N) -> MARK(N) A__ISNAT(plus(V1,V2)) -> A__U11(a__isNat(V1),V2) A__ISNAT(plus(V1,V2)) -> A__ISNAT(V1) A__ISNAT(s(V1)) -> A__U21(a__isNat(V1)) A__ISNAT(s(V1)) -> A__ISNAT(V1) A__ISNAT(x(V1,V2)) -> A__U31(a__isNat(V1),V2) A__ISNAT(x(V1,V2)) -> A__ISNAT(V1) A__PLUS(N,0) -> A__U41(a__isNat(N),N) A__PLUS(N,0) -> A__ISNAT(N) A__PLUS(N,s(M)) -> A__U51(a__isNat(M),M,N) A__PLUS(N,s(M)) -> A__ISNAT(M) A__X(N,0) -> A__U61(a__isNat(N)) A__X(N,0) -> A__ISNAT(N) A__X(N,s(M)) -> A__U71(a__isNat(M),M,N) A__X(N,s(M)) -> A__ISNAT(M) MARK(U11(X1,X2)) -> A__U11(mark(X1),X2) MARK(U11(X1,X2)) -> MARK(X1)
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