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TRS_Contextsensitive 2019-03-21 05.07 pair #429997085
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
n176.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.93956 seconds
cpu usage
12.6537
user time
12.1565
system time
0.497158
max virtual memory
1.8343352E7
max residence set size
1462496.0
stage attributes
key
value
starexec-result
YES
output
12.43/3.83 YES 12.43/3.85 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 12.43/3.85 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.43/3.85 12.43/3.85 12.43/3.85 Termination of the given CSR could be proven: 12.43/3.85 12.43/3.85 (0) CSR 12.43/3.85 (1) CSDependencyPairsProof [EQUIVALENT, 657 ms] 12.43/3.85 (2) QCSDP 12.43/3.85 (3) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 12.43/3.85 (4) AND 12.43/3.85 (5) QCSDP 12.43/3.85 (6) QCSUsableRulesProof [EQUIVALENT, 0 ms] 12.43/3.85 (7) QCSDP 12.43/3.85 (8) QCSDPMuMonotonicPoloProof [EQUIVALENT, 76 ms] 12.43/3.85 (9) QCSDP 12.43/3.85 (10) QCSDPSubtermProof [EQUIVALENT, 0 ms] 12.43/3.85 (11) QCSDP 12.43/3.85 (12) PIsEmptyProof [EQUIVALENT, 0 ms] 12.43/3.85 (13) YES 12.43/3.85 (14) QCSDP 12.43/3.85 (15) QCSUsableRulesProof [EQUIVALENT, 36 ms] 12.43/3.85 (16) QCSDP 12.43/3.85 (17) QCSDPMuMonotonicPoloProof [EQUIVALENT, 368 ms] 12.43/3.85 (18) QCSDP 12.43/3.85 (19) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 12.43/3.85 (20) TRUE 12.43/3.85 (21) QCSDP 12.43/3.85 (22) QCSDPSubtermProof [EQUIVALENT, 0 ms] 12.43/3.85 (23) QCSDP 12.43/3.85 (24) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 12.43/3.85 (25) TRUE 12.43/3.85 (26) QCSDP 12.43/3.85 (27) QCSDPSubtermProof [EQUIVALENT, 0 ms] 12.43/3.85 (28) QCSDP 12.43/3.85 (29) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 12.43/3.85 (30) TRUE 12.43/3.85 12.43/3.85 12.43/3.85 ---------------------------------------- 12.43/3.85 12.43/3.85 (0) 12.43/3.85 Obligation: 12.43/3.85 Context-sensitive rewrite system: 12.43/3.85 The TRS R consists of the following rules: 12.43/3.85 12.43/3.85 U101(tt, V1, V2) -> U102(isNaturalKind(V1), V1, V2) 12.43/3.85 U102(tt, V1, V2) -> U103(isLNatKind(V2), V1, V2) 12.43/3.85 U103(tt, V1, V2) -> U104(isLNatKind(V2), V1, V2) 12.43/3.85 U104(tt, V1, V2) -> U105(isNatural(V1), V2) 12.43/3.85 U105(tt, V2) -> U106(isLNat(V2)) 12.43/3.85 U106(tt) -> tt 12.43/3.85 U11(tt, N, XS) -> U12(isNaturalKind(N), N, XS) 12.43/3.85 U111(tt, V2) -> U112(isLNatKind(V2)) 12.43/3.85 U112(tt) -> tt 12.43/3.85 U12(tt, N, XS) -> U13(isLNat(XS), N, XS) 12.43/3.85 U121(tt, V2) -> U122(isLNatKind(V2)) 12.43/3.85 U122(tt) -> tt 12.43/3.85 U13(tt, N, XS) -> U14(isLNatKind(XS), N, XS) 12.43/3.85 U131(tt) -> tt 12.43/3.85 U14(tt, N, XS) -> snd(splitAt(N, XS)) 12.43/3.85 U141(tt) -> tt 12.43/3.85 U151(tt) -> tt 12.43/3.85 U161(tt) -> tt 12.43/3.85 U171(tt, V2) -> U172(isLNatKind(V2)) 12.43/3.85 U172(tt) -> tt 12.43/3.85 U181(tt, V1) -> U182(isLNatKind(V1), V1) 12.43/3.85 U182(tt, V1) -> U183(isLNat(V1)) 12.43/3.85 U183(tt) -> tt 12.43/3.85 U191(tt, V1) -> U192(isNaturalKind(V1), V1) 12.43/3.85 U192(tt, V1) -> U193(isNatural(V1)) 12.43/3.85 U193(tt) -> tt 12.43/3.85 U201(tt, V1, V2) -> U202(isNaturalKind(V1), V1, V2) 12.43/3.85 U202(tt, V1, V2) -> U203(isLNatKind(V2), V1, V2) 12.43/3.85 U203(tt, V1, V2) -> U204(isLNatKind(V2), V1, V2) 12.43/3.85 U204(tt, V1, V2) -> U205(isNatural(V1), V2) 12.43/3.85 U205(tt, V2) -> U206(isLNat(V2)) 12.43/3.85 U206(tt) -> tt 12.43/3.85 U21(tt, X, Y) -> U22(isLNatKind(X), X, Y) 12.43/3.85 U211(tt) -> tt 12.43/3.85 U22(tt, X, Y) -> U23(isLNat(Y), X, Y) 12.43/3.85 U221(tt) -> tt 12.43/3.85 U23(tt, X, Y) -> U24(isLNatKind(Y), X) 12.43/3.85 U231(tt, V2) -> U232(isLNatKind(V2)) 12.43/3.85 U232(tt) -> tt 12.43/3.85 U24(tt, X) -> X 12.43/3.85 U241(tt, V1, V2) -> U242(isLNatKind(V1), V1, V2) 12.43/3.85 U242(tt, V1, V2) -> U243(isLNatKind(V2), V1, V2) 12.43/3.85 U243(tt, V1, V2) -> U244(isLNatKind(V2), V1, V2) 12.43/3.85 U244(tt, V1, V2) -> U245(isLNat(V1), V2) 12.43/3.85 U245(tt, V2) -> U246(isLNat(V2)) 12.43/3.85 U246(tt) -> tt 12.43/3.85 U251(tt, V1, V2) -> U252(isNaturalKind(V1), V1, V2) 12.43/3.85 U252(tt, V1, V2) -> U253(isLNatKind(V2), V1, V2) 12.43/3.85 U253(tt, V1, V2) -> U254(isLNatKind(V2), V1, V2) 12.43/3.85 U254(tt, V1, V2) -> U255(isNatural(V1), V2) 12.43/3.85 U255(tt, V2) -> U256(isLNat(V2)) 12.43/3.85 U256(tt) -> tt 12.43/3.85 U261(tt, V2) -> U262(isLNatKind(V2))
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return to TRS_Contextsensitive 2019-03-21 05.07