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TRS_Innermost 2019-03-28 22.12 pair #432271010
details
property
value
status
complete
benchmark
LISTUTILITIES_complete_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n103.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.23437 seconds
cpu usage
15.4698
user time
14.7765
system time
0.693313
max virtual memory
1.8423508E7
max residence set size
1586452.0
stage attributes
key
value
starexec-result
YES
output
15.03/5.11 YES 15.03/5.14 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 15.03/5.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 15.03/5.14 15.03/5.14 15.03/5.14 Termination w.r.t. Q of the given QTRS could be proven: 15.03/5.14 15.03/5.14 (0) QTRS 15.03/5.14 (1) QTRSToCSRProof [SOUND, 0 ms] 15.03/5.14 (2) CSR 15.03/5.14 (3) CSDependencyPairsProof [EQUIVALENT, 447 ms] 15.03/5.14 (4) QCSDP 15.03/5.14 (5) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 15.03/5.14 (6) AND 15.03/5.14 (7) QCSDP 15.03/5.14 (8) QCSUsableRulesProof [EQUIVALENT, 0 ms] 15.03/5.14 (9) QCSDP 15.03/5.14 (10) QCSDPMuMonotonicPoloProof [EQUIVALENT, 57 ms] 15.03/5.14 (11) QCSDP 15.03/5.14 (12) QCSDPSubtermProof [EQUIVALENT, 0 ms] 15.03/5.14 (13) QCSDP 15.03/5.14 (14) PIsEmptyProof [EQUIVALENT, 0 ms] 15.03/5.14 (15) YES 15.03/5.14 (16) QCSDP 15.03/5.14 (17) QCSUsableRulesProof [EQUIVALENT, 11 ms] 15.03/5.14 (18) QCSDP 15.03/5.14 (19) QCSDPMuMonotonicPoloProof [EQUIVALENT, 312 ms] 15.03/5.14 (20) QCSDP 15.03/5.14 (21) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 15.03/5.14 (22) TRUE 15.03/5.14 (23) QCSDP 15.03/5.14 (24) QCSDPSubtermProof [EQUIVALENT, 3 ms] 15.03/5.14 (25) QCSDP 15.03/5.14 (26) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 15.03/5.14 (27) TRUE 15.03/5.14 (28) QCSDP 15.03/5.14 (29) QCSDPSubtermProof [EQUIVALENT, 2 ms] 15.03/5.14 (30) QCSDP 15.03/5.14 (31) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 15.03/5.14 (32) TRUE 15.03/5.14 15.03/5.14 15.03/5.14 ---------------------------------------- 15.03/5.14 15.03/5.14 (0) 15.03/5.14 Obligation: 15.03/5.14 Q restricted rewrite system: 15.03/5.14 The TRS R consists of the following rules: 15.03/5.14 15.03/5.14 active(U101(tt, V1, V2)) -> mark(U102(isNaturalKind(V1), V1, V2)) 15.03/5.14 active(U102(tt, V1, V2)) -> mark(U103(isLNatKind(V2), V1, V2)) 15.03/5.14 active(U103(tt, V1, V2)) -> mark(U104(isLNatKind(V2), V1, V2)) 15.03/5.14 active(U104(tt, V1, V2)) -> mark(U105(isNatural(V1), V2)) 15.03/5.14 active(U105(tt, V2)) -> mark(U106(isLNat(V2))) 15.03/5.14 active(U106(tt)) -> mark(tt) 15.03/5.14 active(U11(tt, N, XS)) -> mark(U12(isNaturalKind(N), N, XS)) 15.03/5.14 active(U111(tt, V2)) -> mark(U112(isLNatKind(V2))) 15.03/5.14 active(U112(tt)) -> mark(tt) 15.03/5.14 active(U12(tt, N, XS)) -> mark(U13(isLNat(XS), N, XS)) 15.03/5.14 active(U121(tt, V2)) -> mark(U122(isLNatKind(V2))) 15.03/5.14 active(U122(tt)) -> mark(tt) 15.03/5.14 active(U13(tt, N, XS)) -> mark(U14(isLNatKind(XS), N, XS)) 15.03/5.14 active(U131(tt)) -> mark(tt) 15.03/5.14 active(U14(tt, N, XS)) -> mark(snd(splitAt(N, XS))) 15.03/5.14 active(U141(tt)) -> mark(tt) 15.03/5.14 active(U151(tt)) -> mark(tt) 15.03/5.14 active(U161(tt)) -> mark(tt) 15.03/5.14 active(U171(tt, V2)) -> mark(U172(isLNatKind(V2))) 15.03/5.14 active(U172(tt)) -> mark(tt) 15.03/5.14 active(U181(tt, V1)) -> mark(U182(isLNatKind(V1), V1)) 15.03/5.14 active(U182(tt, V1)) -> mark(U183(isLNat(V1))) 15.03/5.14 active(U183(tt)) -> mark(tt) 15.03/5.14 active(U191(tt, V1)) -> mark(U192(isNaturalKind(V1), V1)) 15.03/5.14 active(U192(tt, V1)) -> mark(U193(isNatural(V1))) 15.03/5.14 active(U193(tt)) -> mark(tt) 15.03/5.14 active(U201(tt, V1, V2)) -> mark(U202(isNaturalKind(V1), V1, V2)) 15.03/5.14 active(U202(tt, V1, V2)) -> mark(U203(isLNatKind(V2), V1, V2)) 15.03/5.14 active(U203(tt, V1, V2)) -> mark(U204(isLNatKind(V2), V1, V2)) 15.03/5.14 active(U204(tt, V1, V2)) -> mark(U205(isNatural(V1), V2)) 15.03/5.14 active(U205(tt, V2)) -> mark(U206(isLNat(V2))) 15.03/5.14 active(U206(tt)) -> mark(tt) 15.03/5.14 active(U21(tt, X, Y)) -> mark(U22(isLNatKind(X), X, Y)) 15.03/5.14 active(U211(tt)) -> mark(tt) 15.03/5.14 active(U22(tt, X, Y)) -> mark(U23(isLNat(Y), X, Y)) 15.03/5.14 active(U221(tt)) -> mark(tt) 15.03/5.14 active(U23(tt, X, Y)) -> mark(U24(isLNatKind(Y), X)) 15.03/5.14 active(U231(tt, V2)) -> mark(U232(isLNatKind(V2))) 15.03/5.14 active(U232(tt)) -> mark(tt) 15.03/5.14 active(U24(tt, X)) -> mark(X) 15.03/5.14 active(U241(tt, V1, V2)) -> mark(U242(isLNatKind(V1), V1, V2)) 15.03/5.14 active(U242(tt, V1, V2)) -> mark(U243(isLNatKind(V2), V1, V2)) 15.03/5.14 active(U243(tt, V1, V2)) -> mark(U244(isLNatKind(V2), V1, V2)) 15.03/5.14 active(U244(tt, V1, V2)) -> mark(U245(isLNat(V1), V2)) 15.03/5.14 active(U245(tt, V2)) -> mark(U246(isLNat(V2))) 15.03/5.14 active(U246(tt)) -> mark(tt) 15.03/5.14 active(U251(tt, V1, V2)) -> mark(U252(isNaturalKind(V1), V1, V2)) 15.03/5.14 active(U252(tt, V1, V2)) -> mark(U253(isLNatKind(V2), V1, V2)) 15.03/5.14 active(U253(tt, V1, V2)) -> mark(U254(isLNatKind(V2), V1, V2)) 15.03/5.14 active(U254(tt, V1, V2)) -> mark(U255(isNatural(V1), V2)) 15.03/5.14 active(U255(tt, V2)) -> mark(U256(isLNat(V2)))
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return to TRS_Innermost 2019-03-28 22.12