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TRS Stand 20472 pair #381715717
details
property
value
status
complete
benchmark
LISTUTILITIES_nokinds_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n101.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.51216101646 seconds
cpu usage
7.054112391
max memory
5.8112E8
stage attributes
key
value
output-size
71735
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSDependencyPairsProof [EQUIVALENT, 111 ms] (4) QCSDP (5) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QCSDP (8) QCSUsableRulesProof [EQUIVALENT, 0 ms] (9) QCSDP (10) QCSDPMuMonotonicPoloProof [EQUIVALENT, 47 ms] (11) QCSDP (12) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (13) AND (14) QCSDP (15) QCSDPSubtermProof [EQUIVALENT, 0 ms] (16) QCSDP (17) PIsEmptyProof [EQUIVALENT, 0 ms] (18) YES (19) QCSDP (20) QCSDPSubtermProof [EQUIVALENT, 0 ms] (21) QCSDP (22) PIsEmptyProof [EQUIVALENT, 0 ms] (23) YES (24) QCSDP (25) QCSDPSubtermProof [EQUIVALENT, 0 ms] (26) QCSDP (27) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (28) TRUE (29) QCSDP (30) QCSDPSubtermProof [EQUIVALENT, 0 ms] (31) QCSDP (32) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (33) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(U101(tt, V2)) -> mark(U102(isLNat(V2))) active(U102(tt)) -> mark(tt) active(U11(tt, N, XS)) -> mark(U12(isLNat(XS), N, XS)) active(U111(tt)) -> mark(tt) active(U12(tt, N, XS)) -> mark(snd(splitAt(N, XS))) active(U121(tt)) -> mark(tt) active(U131(tt, V2)) -> mark(U132(isLNat(V2))) active(U132(tt)) -> mark(tt) active(U141(tt, V2)) -> mark(U142(isLNat(V2))) active(U142(tt)) -> mark(tt) active(U151(tt, V2)) -> mark(U152(isLNat(V2))) active(U152(tt)) -> mark(tt) active(U161(tt, N)) -> mark(cons(N, natsFrom(s(N)))) active(U171(tt, N, XS)) -> mark(U172(isLNat(XS), N, XS)) active(U172(tt, N, XS)) -> mark(head(afterNth(N, XS))) active(U181(tt, Y)) -> mark(U182(isLNat(Y), Y)) active(U182(tt, Y)) -> mark(Y) active(U191(tt, XS)) -> mark(pair(nil, XS)) active(U201(tt, N, X, XS)) -> mark(U202(isNatural(X), N, X, XS)) active(U202(tt, N, X, XS)) -> mark(U203(isLNat(XS), N, X, XS)) active(U203(tt, N, X, XS)) -> mark(U204(splitAt(N, XS), X)) active(U204(pair(YS, ZS), X)) -> mark(pair(cons(X, YS), ZS)) active(U21(tt, X, Y)) -> mark(U22(isLNat(Y), X)) active(U211(tt, XS)) -> mark(U212(isLNat(XS), XS)) active(U212(tt, XS)) -> mark(XS) active(U22(tt, X)) -> mark(X) active(U221(tt, N, XS)) -> mark(U222(isLNat(XS), N, XS)) active(U222(tt, N, XS)) -> mark(fst(splitAt(N, XS))) active(U31(tt, N, XS)) -> mark(U32(isLNat(XS), N)) active(U32(tt, N)) -> mark(N) active(U41(tt, V2)) -> mark(U42(isLNat(V2))) active(U42(tt)) -> mark(tt) active(U51(tt, V2)) -> mark(U52(isLNat(V2))) active(U52(tt)) -> mark(tt) active(U61(tt)) -> mark(tt) active(U71(tt)) -> mark(tt) active(U81(tt)) -> mark(tt) active(U91(tt)) -> mark(tt) active(afterNth(N, XS)) -> mark(U11(isNatural(N), N, XS)) active(fst(pair(X, Y))) -> mark(U21(isLNat(X), X, Y)) active(head(cons(N, XS))) -> mark(U31(isNatural(N), N, XS)) active(isLNat(nil)) -> mark(tt) active(isLNat(afterNth(V1, V2))) -> mark(U41(isNatural(V1), V2)) active(isLNat(cons(V1, V2))) -> mark(U51(isNatural(V1), V2))
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