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TRS Conte Sensi 17651 pair #381733299
details
property
value
status
complete
benchmark
LISTUTILITIES_complete-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n020.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.56723618507 seconds
cpu usage
11.784190796
max memory
1.461047296E9
stage attributes
key
value
output-size
121812
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSDependencyPairsProof [EQUIVALENT, 575 ms] (2) QCSDP (3) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QCSDP (6) QCSUsableRulesProof [EQUIVALENT, 0 ms] (7) QCSDP (8) QCSDPMuMonotonicPoloProof [EQUIVALENT, 51 ms] (9) QCSDP (10) QCSDPSubtermProof [EQUIVALENT, 0 ms] (11) QCSDP (12) PIsEmptyProof [EQUIVALENT, 0 ms] (13) YES (14) QCSDP (15) QCSUsableRulesProof [EQUIVALENT, 59 ms] (16) QCSDP (17) QCSDPMuMonotonicPoloProof [EQUIVALENT, 335 ms] (18) QCSDP (19) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (20) TRUE (21) QCSDP (22) QCSDPSubtermProof [EQUIVALENT, 0 ms] (23) QCSDP (24) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (25) TRUE (26) QCSDP (27) QCSDPSubtermProof [EQUIVALENT, 0 ms] (28) QCSDP (29) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (30) TRUE ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: U101(tt, V1, V2) -> U102(isNaturalKind(V1), V1, V2) U102(tt, V1, V2) -> U103(isLNatKind(V2), V1, V2) U103(tt, V1, V2) -> U104(isLNatKind(V2), V1, V2) U104(tt, V1, V2) -> U105(isNatural(V1), V2) U105(tt, V2) -> U106(isLNat(V2)) U106(tt) -> tt U11(tt, N, XS) -> U12(isNaturalKind(N), N, XS) U111(tt, V2) -> U112(isLNatKind(V2)) U112(tt) -> tt U12(tt, N, XS) -> U13(isLNat(XS), N, XS) U121(tt, V2) -> U122(isLNatKind(V2)) U122(tt) -> tt U13(tt, N, XS) -> U14(isLNatKind(XS), N, XS) U131(tt) -> tt U14(tt, N, XS) -> snd(splitAt(N, XS)) U141(tt) -> tt U151(tt) -> tt U161(tt) -> tt U171(tt, V2) -> U172(isLNatKind(V2)) U172(tt) -> tt U181(tt, V1) -> U182(isLNatKind(V1), V1) U182(tt, V1) -> U183(isLNat(V1)) U183(tt) -> tt U191(tt, V1) -> U192(isNaturalKind(V1), V1) U192(tt, V1) -> U193(isNatural(V1)) U193(tt) -> tt U201(tt, V1, V2) -> U202(isNaturalKind(V1), V1, V2) U202(tt, V1, V2) -> U203(isLNatKind(V2), V1, V2) U203(tt, V1, V2) -> U204(isLNatKind(V2), V1, V2) U204(tt, V1, V2) -> U205(isNatural(V1), V2) U205(tt, V2) -> U206(isLNat(V2)) U206(tt) -> tt U21(tt, X, Y) -> U22(isLNatKind(X), X, Y) U211(tt) -> tt U22(tt, X, Y) -> U23(isLNat(Y), X, Y) U221(tt) -> tt U23(tt, X, Y) -> U24(isLNatKind(Y), X) U231(tt, V2) -> U232(isLNatKind(V2)) U232(tt) -> tt U24(tt, X) -> X U241(tt, V1, V2) -> U242(isLNatKind(V1), V1, V2) U242(tt, V1, V2) -> U243(isLNatKind(V2), V1, V2) U243(tt, V1, V2) -> U244(isLNatKind(V2), V1, V2) U244(tt, V1, V2) -> U245(isLNat(V1), V2) U245(tt, V2) -> U246(isLNat(V2)) U246(tt) -> tt U251(tt, V1, V2) -> U252(isNaturalKind(V1), V1, V2)
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