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TRS Standard pair #516963131
details
property
value
status
complete
benchmark
PEANO_complete_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.56806778908 seconds
cpu usage
1.537466049
max memory
1.4221312E7
stage attributes
key
value
output-size
167517
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 X3:S) (RULES a__U11(tt,V1:S,V2:S) -> a__U12(a__isNatKind(V1:S),V1:S,V2:S) a__U11(X1:S,X2:S,X3:S) -> U11(X1:S,X2:S,X3:S) a__U12(tt,V1:S,V2:S) -> a__U13(a__isNatKind(V2:S),V1:S,V2:S) a__U12(X1:S,X2:S,X3:S) -> U12(X1:S,X2:S,X3:S) a__U13(tt,V1:S,V2:S) -> a__U14(a__isNatKind(V2:S),V1:S,V2:S) a__U13(X1:S,X2:S,X3:S) -> U13(X1:S,X2:S,X3:S) a__U14(tt,V1:S,V2:S) -> a__U15(a__isNat(V1:S),V2:S) a__U14(X1:S,X2:S,X3:S) -> U14(X1:S,X2:S,X3:S) a__U15(tt,V2:S) -> a__U16(a__isNat(V2:S)) a__U15(X1:S,X2:S) -> U15(X1:S,X2:S) a__U16(tt) -> tt a__U16(X:S) -> U16(X:S) a__U21(tt,V1:S) -> a__U22(a__isNatKind(V1:S),V1:S) a__U21(X1:S,X2:S) -> U21(X1:S,X2:S) a__U22(tt,V1:S) -> a__U23(a__isNat(V1:S)) a__U22(X1:S,X2:S) -> U22(X1:S,X2:S) a__U23(tt) -> tt a__U23(X:S) -> U23(X:S) a__U31(tt,V2:S) -> a__U32(a__isNatKind(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) -> tt a__U41(X:S) -> U41(X:S) a__U51(tt,N:S) -> a__U52(a__isNatKind(N:S),N:S) a__U51(X1:S,X2:S) -> U51(X1:S,X2:S) a__U52(tt,N:S) -> mark(N:S) a__U52(X1:S,X2:S) -> U52(X1:S,X2:S) a__U61(tt,M:S,N:S) -> a__U62(a__isNatKind(M:S),M:S,N:S) a__U61(X1:S,X2:S,X3:S) -> U61(X1:S,X2:S,X3:S) a__U62(tt,M:S,N:S) -> a__U63(a__isNat(N:S),M:S,N:S) a__U62(X1:S,X2:S,X3:S) -> U62(X1:S,X2:S,X3:S) a__U63(tt,M:S,N:S) -> a__U64(a__isNatKind(N:S),M:S,N:S) a__U63(X1:S,X2:S,X3:S) -> U63(X1:S,X2:S,X3:S) a__U64(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U64(X1:S,X2:S,X3:S) -> U64(X1:S,X2:S,X3:S) a__isNat(0) -> tt a__isNat(plus(V1:S,V2:S)) -> a__U11(a__isNatKind(V1:S),V1:S,V2:S) a__isNat(s(V1:S)) -> a__U21(a__isNatKind(V1:S),V1:S) a__isNat(X:S) -> isNat(X:S) a__isNatKind(0) -> tt a__isNatKind(plus(V1:S,V2:S)) -> a__U31(a__isNatKind(V1:S),V2:S) a__isNatKind(s(V1:S)) -> a__U41(a__isNatKind(V1:S)) a__isNatKind(X:S) -> isNatKind(X:S) a__plus(N:S,0) -> a__U51(a__isNat(N:S),N:S) a__plus(N:S,s(M:S)) -> a__U61(a__isNat(M:S),M:S,N:S) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S,X3:S)) -> a__U11(mark(X1:S),X2:S,X3:S) mark(U12(X1:S,X2:S,X3:S)) -> a__U12(mark(X1:S),X2:S,X3:S) mark(U13(X1:S,X2:S,X3:S)) -> a__U13(mark(X1:S),X2:S,X3:S) mark(U14(X1:S,X2:S,X3:S)) -> a__U14(mark(X1:S),X2:S,X3:S) mark(U15(X1:S,X2:S)) -> a__U15(mark(X1:S),X2:S) mark(U16(X:S)) -> a__U16(mark(X:S)) mark(U21(X1:S,X2:S)) -> a__U21(mark(X1:S),X2:S) mark(U22(X1:S,X2:S)) -> a__U22(mark(X1:S),X2:S) mark(U23(X:S)) -> a__U23(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(X:S)) -> a__U41(mark(X:S)) mark(U51(X1:S,X2:S)) -> a__U51(mark(X1:S),X2:S) mark(U52(X1:S,X2:S)) -> a__U52(mark(X1:S),X2:S) mark(U61(X1:S,X2:S,X3:S)) -> a__U61(mark(X1:S),X2:S,X3:S) mark(U62(X1:S,X2:S,X3:S)) -> a__U62(mark(X1:S),X2:S,X3:S) mark(U63(X1:S,X2:S,X3:S)) -> a__U63(mark(X1:S),X2:S,X3:S) mark(U64(X1:S,X2:S,X3:S)) -> a__U64(mark(X1:S),X2:S,X3:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(isNatKind(X:S)) -> a__isNatKind(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 ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,V1:S,V2:S) -> A__U12(a__isNatKind(V1:S),V1:S,V2:S) A__U11(tt,V1:S,V2:S) -> A__ISNATKIND(V1:S) A__U12(tt,V1:S,V2:S) -> A__U13(a__isNatKind(V2:S),V1:S,V2:S) A__U12(tt,V1:S,V2:S) -> A__ISNATKIND(V2:S) A__U13(tt,V1:S,V2:S) -> A__U14(a__isNatKind(V2:S),V1:S,V2:S) A__U13(tt,V1:S,V2:S) -> A__ISNATKIND(V2:S) A__U14(tt,V1:S,V2:S) -> A__U15(a__isNat(V1:S),V2:S) A__U14(tt,V1:S,V2:S) -> A__ISNAT(V1:S) A__U15(tt,V2:S) -> A__U16(a__isNat(V2:S)) A__U15(tt,V2:S) -> A__ISNAT(V2:S) A__U21(tt,V1:S) -> A__U22(a__isNatKind(V1:S),V1:S)
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