details

property	value
status	complete
benchmark	LISTUTILITIES_nokinds-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n097.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.20216 seconds
cpu usage	5.82794
user time	5.58902
system time	0.238925
max virtual memory	1.8409116E7
max residence set size	507804.0

stage attributes

key	value
starexec-result	YES

output

5.69/2.12 YES 5.69/2.14 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 5.69/2.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.69/2.14 5.69/2.14 5.69/2.14 Termination of the given CSR could be proven: 5.69/2.14 5.69/2.14 (0) CSR 5.69/2.14 (1) CSDependencyPairsProof [EQUIVALENT, 123 ms] 5.69/2.14 (2) QCSDP 5.69/2.14 (3) QCSDependencyGraphProof [EQUIVALENT, 3 ms] 5.69/2.14 (4) AND 5.69/2.14 (5) QCSDP 5.69/2.14 (6) QCSUsableRulesProof [EQUIVALENT, 0 ms] 5.69/2.14 (7) QCSDP 5.69/2.14 (8) QCSDPMuMonotonicPoloProof [EQUIVALENT, 61 ms] 5.69/2.14 (9) QCSDP 5.69/2.14 (10) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 5.69/2.14 (11) AND 5.69/2.14 (12) QCSDP 5.69/2.14 (13) QCSDPSubtermProof [EQUIVALENT, 0 ms] 5.69/2.14 (14) QCSDP 5.69/2.14 (15) PIsEmptyProof [EQUIVALENT, 0 ms] 5.69/2.14 (16) YES 5.69/2.14 (17) QCSDP 5.69/2.14 (18) QCSDPSubtermProof [EQUIVALENT, 0 ms] 5.69/2.14 (19) QCSDP 5.69/2.14 (20) PIsEmptyProof [EQUIVALENT, 0 ms] 5.69/2.14 (21) YES 5.69/2.14 (22) QCSDP 5.69/2.14 (23) QCSDPSubtermProof [EQUIVALENT, 0 ms] 5.69/2.14 (24) QCSDP 5.69/2.14 (25) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 5.69/2.14 (26) TRUE 5.69/2.14 (27) QCSDP 5.69/2.14 (28) QCSDPSubtermProof [EQUIVALENT, 0 ms] 5.69/2.14 (29) QCSDP 5.69/2.14 (30) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 5.69/2.14 (31) TRUE 5.69/2.14 5.69/2.14 5.69/2.14 ---------------------------------------- 5.69/2.14 5.69/2.14 (0) 5.69/2.14 Obligation: 5.69/2.14 Context-sensitive rewrite system: 5.69/2.14 The TRS R consists of the following rules: 5.69/2.14 5.69/2.14 U101(tt, V2) -> U102(isLNat(V2)) 5.69/2.14 U102(tt) -> tt 5.69/2.14 U11(tt, N, XS) -> U12(isLNat(XS), N, XS) 5.69/2.14 U111(tt) -> tt 5.69/2.14 U12(tt, N, XS) -> snd(splitAt(N, XS)) 5.69/2.14 U121(tt) -> tt 5.69/2.14 U131(tt, V2) -> U132(isLNat(V2)) 5.69/2.14 U132(tt) -> tt 5.69/2.14 U141(tt, V2) -> U142(isLNat(V2)) 5.69/2.14 U142(tt) -> tt 5.69/2.14 U151(tt, V2) -> U152(isLNat(V2)) 5.69/2.14 U152(tt) -> tt 5.69/2.14 U161(tt, N) -> cons(N, natsFrom(s(N))) 5.69/2.14 U171(tt, N, XS) -> U172(isLNat(XS), N, XS) 5.69/2.14 U172(tt, N, XS) -> head(afterNth(N, XS)) 5.69/2.14 U181(tt, Y) -> U182(isLNat(Y), Y) 5.69/2.14 U182(tt, Y) -> Y 5.69/2.14 U191(tt, XS) -> pair(nil, XS) 5.69/2.14 U201(tt, N, X, XS) -> U202(isNatural(X), N, X, XS) 5.69/2.14 U202(tt, N, X, XS) -> U203(isLNat(XS), N, X, XS) 5.69/2.14 U203(tt, N, X, XS) -> U204(splitAt(N, XS), X) 5.69/2.14 U204(pair(YS, ZS), X) -> pair(cons(X, YS), ZS) 5.69/2.14 U21(tt, X, Y) -> U22(isLNat(Y), X) 5.69/2.14 U211(tt, XS) -> U212(isLNat(XS), XS) 5.69/2.14 U212(tt, XS) -> XS 5.69/2.14 U22(tt, X) -> X 5.69/2.14 U221(tt, N, XS) -> U222(isLNat(XS), N, XS) 5.69/2.14 U222(tt, N, XS) -> fst(splitAt(N, XS)) 5.69/2.14 U31(tt, N, XS) -> U32(isLNat(XS), N) 5.69/2.14 U32(tt, N) -> N 5.69/2.14 U41(tt, V2) -> U42(isLNat(V2)) 5.69/2.14 U42(tt) -> tt 5.69/2.14 U51(tt, V2) -> U52(isLNat(V2)) 5.69/2.14 U52(tt) -> tt 5.69/2.14 U61(tt) -> tt 5.69/2.14 U71(tt) -> tt 5.69/2.14 U81(tt) -> tt 5.69/2.14 U91(tt) -> tt 5.69/2.14 afterNth(N, XS) -> U11(isNatural(N), N, XS) 5.69/2.14 fst(pair(X, Y)) -> U21(isLNat(X), X, Y) 5.69/2.14 head(cons(N, XS)) -> U31(isNatural(N), N, XS) 5.69/2.14 isLNat(nil) -> tt 5.69/2.14 isLNat(afterNth(V1, V2)) -> U41(isNatural(V1), V2) 5.69/2.14 isLNat(cons(V1, V2)) -> U51(isNatural(V1), V2) 5.69/2.14 isLNat(fst(V1)) -> U61(isPLNat(V1)) 5.69/2.14 isLNat(natsFrom(V1)) -> U71(isNatural(V1)) 5.69/2.14 isLNat(snd(V1)) -> U81(isPLNat(V1)) 5.69/2.14 isLNat(tail(V1)) -> U91(isLNat(V1)) 5.69/2.14 isLNat(take(V1, V2)) -> U101(isNatural(V1), V2) 5.69/2.14 isNatural(0) -> tt 5.69/2.14 isNatural(head(V1)) -> U111(isLNat(V1)) 5.69/2.14 isNatural(s(V1)) -> U121(isNatural(V1)) popout

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job log

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actions

all output return to TRS_Contextsensitive 2019-03-21 05.07