details

property	value
status	complete
benchmark	LISTUTILITIES_nosorts_noand_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.12646 seconds
cpu usage	4.75947
user time	4.57672
system time	0.182743
max virtual memory	1.8411164E7
max residence set size	286696.0

stage attributes

key	value
starexec-result	YES

output

4.31/2.07 YES 4.67/2.09 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.67/2.09 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.67/2.09 4.67/2.09 4.67/2.09 Termination w.r.t. Q of the given QTRS could be proven: 4.67/2.09 4.67/2.09 (0) QTRS 4.67/2.09 (1) QTRSToCSRProof [SOUND, 0 ms] 4.67/2.09 (2) CSR 4.67/2.09 (3) CSRInnermostProof [EQUIVALENT, 0 ms] 4.67/2.09 (4) CSR 4.67/2.09 (5) CSDependencyPairsProof [EQUIVALENT, 7 ms] 4.67/2.09 (6) QCSDP 4.67/2.09 (7) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 4.67/2.09 (8) AND 4.67/2.09 (9) QCSDP 4.67/2.09 (10) QCSDPSubtermProof [EQUIVALENT, 0 ms] 4.67/2.09 (11) QCSDP 4.67/2.09 (12) PIsEmptyProof [EQUIVALENT, 0 ms] 4.67/2.09 (13) YES 4.67/2.09 (14) QCSDP 4.67/2.09 (15) QCSDPSubtermProof [EQUIVALENT, 0 ms] 4.67/2.09 (16) QCSDP 4.67/2.09 (17) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 4.67/2.09 (18) TRUE 4.67/2.09 4.67/2.09 4.67/2.09 ---------------------------------------- 4.67/2.09 4.67/2.09 (0) 4.67/2.09 Obligation: 4.67/2.09 Q restricted rewrite system: 4.67/2.09 The TRS R consists of the following rules: 4.67/2.09 4.67/2.09 active(U11(tt, N, XS)) -> mark(U12(tt, N, XS)) 4.67/2.09 active(U12(tt, N, XS)) -> mark(snd(splitAt(N, XS))) 4.67/2.09 active(U21(tt, X)) -> mark(U22(tt, X)) 4.67/2.09 active(U22(tt, X)) -> mark(X) 4.67/2.09 active(U31(tt, N)) -> mark(U32(tt, N)) 4.67/2.09 active(U32(tt, N)) -> mark(N) 4.67/2.09 active(U41(tt, N, XS)) -> mark(U42(tt, N, XS)) 4.67/2.09 active(U42(tt, N, XS)) -> mark(head(afterNth(N, XS))) 4.67/2.09 active(U51(tt, Y)) -> mark(U52(tt, Y)) 4.67/2.09 active(U52(tt, Y)) -> mark(Y) 4.67/2.09 active(U61(tt, N, X, XS)) -> mark(U62(tt, N, X, XS)) 4.67/2.09 active(U62(tt, N, X, XS)) -> mark(U63(tt, N, X, XS)) 4.67/2.09 active(U63(tt, N, X, XS)) -> mark(U64(splitAt(N, XS), X)) 4.67/2.09 active(U64(pair(YS, ZS), X)) -> mark(pair(cons(X, YS), ZS)) 4.67/2.09 active(U71(tt, XS)) -> mark(U72(tt, XS)) 4.67/2.09 active(U72(tt, XS)) -> mark(XS) 4.67/2.09 active(U81(tt, N, XS)) -> mark(U82(tt, N, XS)) 4.67/2.09 active(U82(tt, N, XS)) -> mark(fst(splitAt(N, XS))) 4.67/2.09 active(afterNth(N, XS)) -> mark(U11(tt, N, XS)) 4.67/2.09 active(fst(pair(X, Y))) -> mark(U21(tt, X)) 4.67/2.09 active(head(cons(N, XS))) -> mark(U31(tt, N)) 4.67/2.09 active(natsFrom(N)) -> mark(cons(N, natsFrom(s(N)))) 4.67/2.09 active(sel(N, XS)) -> mark(U41(tt, N, XS)) 4.67/2.09 active(snd(pair(X, Y))) -> mark(U51(tt, Y)) 4.67/2.09 active(splitAt(0, XS)) -> mark(pair(nil, XS)) 4.67/2.09 active(splitAt(s(N), cons(X, XS))) -> mark(U61(tt, N, X, XS)) 4.67/2.09 active(tail(cons(N, XS))) -> mark(U71(tt, XS)) 4.67/2.09 active(take(N, XS)) -> mark(U81(tt, N, XS)) 4.67/2.09 active(U11(X1, X2, X3)) -> U11(active(X1), X2, X3) 4.67/2.09 active(U12(X1, X2, X3)) -> U12(active(X1), X2, X3) 4.67/2.09 active(snd(X)) -> snd(active(X)) 4.67/2.09 active(splitAt(X1, X2)) -> splitAt(active(X1), X2) 4.67/2.09 active(splitAt(X1, X2)) -> splitAt(X1, active(X2)) 4.67/2.09 active(U21(X1, X2)) -> U21(active(X1), X2) 4.67/2.09 active(U22(X1, X2)) -> U22(active(X1), X2) 4.67/2.09 active(U31(X1, X2)) -> U31(active(X1), X2) 4.67/2.09 active(U32(X1, X2)) -> U32(active(X1), X2) 4.67/2.09 active(U41(X1, X2, X3)) -> U41(active(X1), X2, X3) 4.67/2.09 active(U42(X1, X2, X3)) -> U42(active(X1), X2, X3) 4.67/2.09 active(head(X)) -> head(active(X)) 4.67/2.09 active(afterNth(X1, X2)) -> afterNth(active(X1), X2) 4.67/2.09 active(afterNth(X1, X2)) -> afterNth(X1, active(X2)) 4.67/2.09 active(U51(X1, X2)) -> U51(active(X1), X2) 4.67/2.09 active(U52(X1, X2)) -> U52(active(X1), X2) 4.67/2.09 active(U61(X1, X2, X3, X4)) -> U61(active(X1), X2, X3, X4) 4.67/2.09 active(U62(X1, X2, X3, X4)) -> U62(active(X1), X2, X3, X4) 4.67/2.09 active(U63(X1, X2, X3, X4)) -> U63(active(X1), X2, X3, X4) 4.67/2.09 active(U64(X1, X2)) -> U64(active(X1), X2) 4.67/2.09 active(pair(X1, X2)) -> pair(active(X1), X2) 4.67/2.09 active(pair(X1, X2)) -> pair(X1, active(X2)) 4.67/2.09 active(cons(X1, X2)) -> cons(active(X1), X2) 4.67/2.09 active(U71(X1, X2)) -> U71(active(X1), X2) 4.67/2.09 active(U72(X1, X2)) -> U72(active(X1), X2) 4.67/2.09 active(U81(X1, X2, X3)) -> U81(active(X1), X2, X3) 4.67/2.09 active(U82(X1, X2, X3)) -> U82(active(X1), X2, X3) 4.67/2.09 active(fst(X)) -> fst(active(X)) 4.67/2.09 active(natsFrom(X)) -> natsFrom(active(X)) 4.67/2.09 active(s(X)) -> s(active(X)) 4.67/2.09 active(sel(X1, X2)) -> sel(active(X1), X2) 4.67/2.09 active(sel(X1, X2)) -> sel(X1, active(X2)) 4.67/2.09 active(tail(X)) -> tail(active(X)) 4.67/2.09 active(take(X1, X2)) -> take(active(X1), X2) 4.67/2.09 active(take(X1, X2)) -> take(X1, active(X2)) 4.67/2.09 U11(mark(X1), X2, X3) -> mark(U11(X1, X2, X3)) 4.67/2.09 U12(mark(X1), X2, X3) -> mark(U12(X1, X2, X3)) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS_Innermost 2019-03-28 22.12