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TRS Stand 20472 pair #381716527
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
n082.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.97749996185 seconds
cpu usage
8.878601025
max memory
6.955008E8
stage attributes
key
value
output-size
35091
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 170 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 75 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 32 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 14 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 52 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 57 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 31 ms] (14) QTRS (15) QTRSRRRProof [EQUIVALENT, 0 ms] (16) QTRS (17) QTRSRRRProof [EQUIVALENT, 7 ms] (18) QTRS (19) QTRSRRRProof [EQUIVALENT, 11 ms] (20) QTRS (21) QTRSRRRProof [EQUIVALENT, 12 ms] (22) QTRS (23) QTRSRRRProof [EQUIVALENT, 0 ms] (24) QTRS (25) RisEmptyProof [EQUIVALENT, 0 ms] (26) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U11(tt) -> tt a__U21(tt) -> tt a__U31(tt) -> tt a__U41(tt, V2) -> a__U42(a__isNatIList(V2)) a__U42(tt) -> tt a__U51(tt, V2) -> a__U52(a__isNatList(V2)) a__U52(tt) -> tt a__U61(tt, L, N) -> a__U62(a__isNat(N), L) a__U62(tt, L) -> s(a__length(mark(L))) a__isNat(0) -> tt a__isNat(length(V1)) -> a__U11(a__isNatList(V1)) a__isNat(s(V1)) -> a__U21(a__isNat(V1)) a__isNatIList(V) -> a__U31(a__isNatList(V)) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__U41(a__isNat(V1), V2) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__U51(a__isNat(V1), V2) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U61(a__isNatList(L), L, N) mark(zeros) -> a__zeros mark(U11(X)) -> a__U11(mark(X)) mark(U21(X)) -> a__U21(mark(X)) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1, X2)) -> a__U41(mark(X1), X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNatIList(X)) -> a__isNatIList(X) mark(U51(X1, X2)) -> a__U51(mark(X1), X2) mark(U52(X)) -> a__U52(mark(X)) mark(isNatList(X)) -> a__isNatList(X) mark(U61(X1, X2, X3)) -> a__U61(mark(X1), X2, X3) mark(U62(X1, X2)) -> a__U62(mark(X1), X2) mark(isNat(X)) -> a__isNat(X) mark(length(X)) -> a__length(mark(X)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(0) -> 0 mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(nil) -> nil a__zeros -> zeros a__U11(X) -> U11(X) a__U21(X) -> U21(X) a__U31(X) -> U31(X) a__U41(X1, X2) -> U41(X1, X2) a__U42(X) -> U42(X) a__isNatIList(X) -> isNatIList(X) a__U51(X1, X2) -> U51(X1, X2) a__U52(X) -> U52(X) a__isNatList(X) -> isNatList(X) a__U61(X1, X2, X3) -> U61(X1, X2, X3) a__U62(X1, X2) -> U62(X1, X2)
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