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TRS Standard pair #516961216
details
property
value
status
complete
benchmark
LengthOfFiniteLists_complete_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n085.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
14.2517991066 seconds
cpu usage
13.818256919
max memory
3.026944E7
stage attributes
key
value
output-size
656643
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 L:S N:S V:S V1:S V2:S X:S X1:S X2:S X3:S) (RULES a__U11(tt,V1:S) -> a__U12(a__isNatList(V1: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,V1:S) -> a__U22(a__isNat(V1:S)) a__U21(X1:S,X2:S) -> U21(X1:S,X2:S) a__U22(tt) -> tt a__U22(X:S) -> U22(X:S) a__U31(tt,V:S) -> a__U32(a__isNatList(V: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,V1:S,V2:S) -> a__U42(a__isNat(V1:S),V2:S) a__U41(X1:S,X2:S,X3:S) -> U41(X1:S,X2:S,X3:S) a__U42(tt,V2:S) -> a__U43(a__isNatIList(V2:S)) a__U42(X1:S,X2:S) -> U42(X1:S,X2:S) a__U43(tt) -> tt a__U43(X:S) -> U43(X:S) a__U51(tt,V1:S,V2:S) -> a__U52(a__isNat(V1:S),V2:S) a__U51(X1:S,X2:S,X3:S) -> U51(X1:S,X2:S,X3:S) a__U52(tt,V2:S) -> a__U53(a__isNatList(V2:S)) a__U52(X1:S,X2:S) -> U52(X1:S,X2:S) a__U53(tt) -> tt a__U53(X:S) -> U53(X:S) a__U61(tt,L:S) -> s(a__length(mark(L:S))) a__U61(X1:S,X2:S) -> U61(X1:S,X2:S) a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__isNat(0) -> tt a__isNat(length(V1:S)) -> a__U11(a__isNatIListKind(V1:S),V1:S) a__isNat(s(V1:S)) -> a__U21(a__isNatKind(V1:S),V1:S) a__isNat(X:S) -> isNat(X:S) a__isNatIList(cons(V1:S,V2:S)) -> a__U41(a__and(a__isNatKind(V1:S),isNatIListKind(V2:S)),V1:S,V2:S) a__isNatIList(zeros) -> tt a__isNatIList(V:S) -> a__U31(a__isNatIListKind(V:S),V:S) a__isNatIList(X:S) -> isNatIList(X:S) a__isNatIListKind(cons(V1:S,V2:S)) -> a__and(a__isNatKind(V1:S),isNatIListKind(V2:S)) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(X:S) -> isNatIListKind(X:S) a__isNatKind(0) -> tt a__isNatKind(length(V1:S)) -> a__isNatIListKind(V1:S) a__isNatKind(s(V1:S)) -> a__isNatKind(V1:S) a__isNatKind(X:S) -> isNatKind(X:S) a__isNatList(cons(V1:S,V2:S)) -> a__U51(a__and(a__isNatKind(V1:S),isNatIListKind(V2:S)),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__and(a__and(a__isNatList(L:S),isNatIListKind(L:S)),and(isNat(N:S),isNatKind(N:S))),L: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(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) mark(U12(X:S)) -> a__U12(mark(X:S)) mark(U21(X1:S,X2:S)) -> a__U21(mark(X1:S),X2:S) mark(U22(X:S)) -> a__U22(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,X3:S)) -> a__U41(mark(X1:S),X2:S,X3:S) mark(U42(X1:S,X2:S)) -> a__U42(mark(X1:S),X2:S) mark(U43(X:S)) -> a__U43(mark(X:S)) mark(U51(X1:S,X2:S,X3:S)) -> a__U51(mark(X1:S),X2:S,X3:S) mark(U52(X1:S,X2:S)) -> a__U52(mark(X1:S),X2:S) mark(U53(X:S)) -> a__U53(mark(X:S)) mark(U61(X1:S,X2:S)) -> a__U61(mark(X1:S),X2:S) mark(and(X1:S,X2:S)) -> a__and(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(isNatIListKind(X:S)) -> a__isNatIListKind(X:S) mark(isNatKind(X:S)) -> a__isNatKind(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__U11(tt,V1:S) -> A__U12(a__isNatList(V1:S)) A__U11(tt,V1:S) -> A__ISNATLIST(V1:S) A__U21(tt,V1:S) -> A__U22(a__isNat(V1:S)) A__U21(tt,V1:S) -> A__ISNAT(V1:S)
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