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TRS Standard pair #516961596
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n001.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.191635847092 seconds
cpu usage
0.169581873
max memory
8929280.0
stage attributes
key
value
output-size
40215
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 L:S N:S V:S V1:S V2:S X:S X1:S X2:S X3:S) (RULES a__U11(tt) -> tt a__U11(X:S) -> U11(X:S) a__U21(tt) -> tt a__U21(X:S) -> U21(X:S) a__U31(tt) -> tt a__U31(X:S) -> U31(X:S) a__U41(tt,V2:S) -> a__U42(a__isNatIList(V2:S)) a__U41(X1:S,X2:S) -> U41(X1:S,X2:S) a__U42(tt) -> tt a__U42(X:S) -> U42(X:S) a__U51(tt,V2:S) -> a__U52(a__isNatList(V2:S)) a__U51(X1:S,X2:S) -> U51(X1:S,X2:S) a__U52(tt) -> tt a__U52(X:S) -> U52(X:S) a__U61(tt,L:S,N:S) -> a__U62(a__isNat(N:S),L:S) a__U61(X1:S,X2:S,X3:S) -> U61(X1:S,X2:S,X3:S) a__U62(tt,L:S) -> s(a__length(mark(L:S))) a__U62(X1:S,X2:S) -> U62(X1:S,X2:S) a__isNat(0) -> tt a__isNat(length(V1:S)) -> a__U11(a__isNatList(V1:S)) a__isNat(s(V1:S)) -> a__U21(a__isNat(V1:S)) a__isNat(X:S) -> isNat(X:S) a__isNatIList(cons(V1:S,V2:S)) -> a__U41(a__isNat(V1:S),V2:S) a__isNatIList(zeros) -> tt a__isNatIList(V:S) -> a__U31(a__isNatList(V:S)) a__isNatIList(X:S) -> isNatIList(X:S) a__isNatList(cons(V1:S,V2:S)) -> a__U51(a__isNat(V1:S),V2:S) a__isNatList(nil) -> tt a__isNatList(X:S) -> isNatList(X:S) a__length(cons(N:S,L:S)) -> a__U61(a__isNatList(L:S),L:S,N:S) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(U11(X:S)) -> a__U11(mark(X:S)) mark(U21(X:S)) -> a__U21(mark(X:S)) mark(U31(X:S)) -> a__U31(mark(X:S)) mark(U41(X1:S,X2:S)) -> a__U41(mark(X1:S),X2:S) mark(U42(X:S)) -> a__U42(mark(X:S)) mark(U51(X1:S,X2:S)) -> a__U51(mark(X1:S),X2:S) mark(U52(X:S)) -> a__U52(mark(X:S)) mark(U61(X1:S,X2:S,X3:S)) -> a__U61(mark(X1:S),X2:S,X3:S) mark(U62(X1:S,X2:S)) -> a__U62(mark(X1:S),X2:S) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(isNatIList(X:S)) -> a__isNatIList(X:S) mark(isNatList(X:S)) -> a__isNatList(X:S) mark(length(X:S)) -> a__length(mark(X:S)) mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(zeros) -> a__zeros ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U41(tt,V2:S) -> A__U42(a__isNatIList(V2:S)) A__U41(tt,V2:S) -> A__ISNATILIST(V2:S) A__U51(tt,V2:S) -> A__U52(a__isNatList(V2:S)) A__U51(tt,V2:S) -> A__ISNATLIST(V2:S) A__U61(tt,L:S,N:S) -> A__U62(a__isNat(N:S),L:S) A__U61(tt,L:S,N:S) -> A__ISNAT(N:S) A__U62(tt,L:S) -> A__LENGTH(mark(L:S)) A__U62(tt,L:S) -> MARK(L:S) A__ISNAT(length(V1:S)) -> A__U11(a__isNatList(V1:S)) A__ISNAT(length(V1:S)) -> A__ISNATLIST(V1:S) A__ISNAT(s(V1:S)) -> A__U21(a__isNat(V1:S)) A__ISNAT(s(V1:S)) -> A__ISNAT(V1:S) A__ISNATILIST(cons(V1:S,V2:S)) -> A__U41(a__isNat(V1:S),V2:S) A__ISNATILIST(cons(V1:S,V2:S)) -> A__ISNAT(V1:S) A__ISNATILIST(V:S) -> A__U31(a__isNatList(V:S)) A__ISNATILIST(V:S) -> A__ISNATLIST(V:S) A__ISNATLIST(cons(V1:S,V2:S)) -> A__U51(a__isNat(V1:S),V2:S) A__ISNATLIST(cons(V1:S,V2:S)) -> A__ISNAT(V1:S) A__LENGTH(cons(N:S,L:S)) -> A__U61(a__isNatList(L:S),L:S,N:S) A__LENGTH(cons(N:S,L:S)) -> A__ISNATLIST(L:S) MARK(U11(X:S)) -> A__U11(mark(X:S)) MARK(U11(X:S)) -> MARK(X:S) MARK(U21(X:S)) -> A__U21(mark(X:S)) MARK(U21(X:S)) -> MARK(X:S) MARK(U31(X:S)) -> A__U31(mark(X:S)) MARK(U31(X:S)) -> MARK(X:S) MARK(U41(X1:S,X2:S)) -> A__U41(mark(X1:S),X2:S) MARK(U41(X1:S,X2:S)) -> MARK(X1:S) MARK(U42(X:S)) -> A__U42(mark(X:S))
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