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TRS Stand 20472 pair #381716741
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
n084.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
13.3053088188 seconds
cpu usage
12.984791592
max memory
2.4567808E7
stage attributes
key
value
output-size
583845
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 L N V V1 V2 X X1 X2 X3) (RULES a__U11(tt,V1) -> a__U12(a__isNatList(V1)) a__U11(X1,X2) -> U11(X1,X2) a__U12(tt) -> tt a__U12(X) -> U12(X) a__U21(tt,V1) -> a__U22(a__isNat(V1)) a__U21(X1,X2) -> U21(X1,X2) a__U22(tt) -> tt a__U22(X) -> U22(X) a__U31(tt,V) -> a__U32(a__isNatList(V)) a__U31(X1,X2) -> U31(X1,X2) a__U32(tt) -> tt a__U32(X) -> U32(X) a__U41(tt,V1,V2) -> a__U42(a__isNat(V1),V2) a__U41(X1,X2,X3) -> U41(X1,X2,X3) a__U42(tt,V2) -> a__U43(a__isNatIList(V2)) a__U42(X1,X2) -> U42(X1,X2) a__U43(tt) -> tt a__U43(X) -> U43(X) a__U51(tt,V1,V2) -> a__U52(a__isNat(V1),V2) a__U51(X1,X2,X3) -> U51(X1,X2,X3) a__U52(tt,V2) -> a__U53(a__isNatList(V2)) a__U52(X1,X2) -> U52(X1,X2) a__U53(tt) -> tt a__U53(X) -> U53(X) a__U61(tt,L) -> s(a__length(mark(L))) a__U61(X1,X2) -> U61(X1,X2) a__and(tt,X) -> mark(X) a__and(X1,X2) -> and(X1,X2) a__isNat(0) -> tt a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1),V1) a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1) a__isNat(X) -> isNat(X) a__isNatIList(cons(V1,V2)) -> a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2) a__isNatIList(zeros) -> tt a__isNatIList(V) -> a__U31(a__isNatIListKind(V),V) a__isNatIList(X) -> isNatIList(X) a__isNatIListKind(cons(V1,V2)) -> a__and(a__isNatKind(V1),isNatIListKind(V2)) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(X) -> isNatIListKind(X) a__isNatKind(0) -> tt a__isNatKind(length(V1)) -> a__isNatIListKind(V1) a__isNatKind(s(V1)) -> a__isNatKind(V1) a__isNatKind(X) -> isNatKind(X) a__isNatList(cons(V1,V2)) -> a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2) a__isNatList(nil) -> tt a__isNatList(X) -> isNatList(X) a__length(cons(N,L)) -> a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),and(isNat(N),isNatKind(N))),L) a__length(nil) -> 0 a__length(X) -> length(X) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(U11(X1,X2)) -> a__U11(mark(X1),X2) mark(U12(X)) -> a__U12(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(U31(X1,X2)) -> a__U31(mark(X1),X2) mark(U32(X)) -> a__U32(mark(X)) mark(U41(X1,X2,X3)) -> a__U41(mark(X1),X2,X3) mark(U42(X1,X2)) -> a__U42(mark(X1),X2) mark(U43(X)) -> a__U43(mark(X)) mark(U51(X1,X2,X3)) -> a__U51(mark(X1),X2,X3) mark(U52(X1,X2)) -> a__U52(mark(X1),X2) mark(U53(X)) -> a__U53(mark(X)) mark(U61(X1,X2)) -> a__U61(mark(X1),X2) mark(and(X1,X2)) -> a__and(mark(X1),X2) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(isNat(X)) -> a__isNat(X) mark(isNatIList(X)) -> a__isNatIList(X) mark(isNatIListKind(X)) -> a__isNatIListKind(X) mark(isNatKind(X)) -> a__isNatKind(X) mark(isNatList(X)) -> a__isNatList(X) mark(length(X)) -> a__length(mark(X)) mark(nil) -> nil mark(s(X)) -> s(mark(X)) mark(tt) -> tt mark(zeros) -> a__zeros ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,V1) -> A__U12(a__isNatList(V1)) A__U11(tt,V1) -> A__ISNATLIST(V1) A__U21(tt,V1) -> A__U22(a__isNat(V1)) A__U21(tt,V1) -> A__ISNAT(V1)
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