details

property	value
status	complete
benchmark	t009.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	291.669 seconds
cpu usage	1149.43
user time	1136.28
system time	13.1556
max virtual memory	5.7326432E7
max residence set size	1.4955508E7

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^1), ?)

output

WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). (0) CpxTRS (1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (2) TRS for Loop Detection (3) DecreasingLoopProof [LOWER BOUND(ID), 2132 ms] (4) BEST (5) proven lower bound (6) LowerBoundPropagationProof [FINISHED, 0 ms] (7) BOUNDS(n^1, INF) (8) TRS for Loop Detection ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: start(i) -> busy(F, closed, stop, false, false, false, i) busy(BF, d, stop, b1, b2, b3, i) -> incorrect busy(FS, d, stop, b1, b2, b3, i) -> incorrect busy(fl, open, up, b1, b2, b3, i) -> incorrect busy(fl, open, down, b1, b2, b3, i) -> incorrect busy(B, closed, stop, false, false, false, empty) -> correct busy(F, closed, stop, false, false, false, empty) -> correct busy(S, closed, stop, false, false, false, empty) -> correct busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i) busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i) busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i) busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i) busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i) busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i) busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i) busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i) busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i) busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i) busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i) busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i) busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i) busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i) busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i) busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i) busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i) busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i) busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i) busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i) busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i) busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i) busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i) busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i) idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty) idle(fl, d, m, b1, b2, b3, newbuttons(i1, i2, i3, i)) -> busy(fl, d, m, or(b1, i1), or(b2, i2), or(b3, i3), i) or(true, b) -> true or(false, b) -> b S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (2) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: start(i) -> busy(F, closed, stop, false, false, false, i) busy(BF, d, stop, b1, b2, b3, i) -> incorrect busy(FS, d, stop, b1, b2, b3, i) -> incorrect busy(fl, open, up, b1, b2, b3, i) -> incorrect busy(fl, open, down, b1, b2, b3, i) -> incorrect busy(B, closed, stop, false, false, false, empty) -> correct busy(F, closed, stop, false, false, false, empty) -> correct busy(S, closed, stop, false, false, false, empty) -> correct busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i) busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i) busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i) popout

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

job log

popout

actions

all output return to Runtime Complexity: TRS Innermost