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Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.40 pair #433313356
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
n175.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
291.659 seconds
cpu usage
1149.91
user time
1127.34
system time
22.568
max virtual memory
3.8790792E7
max residence set size
1.5073984E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), ?)
output
1149.63/291.56 WORST_CASE(Omega(n^1), ?) 1149.63/291.59 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 1149.63/291.59 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 1149.63/291.59 1149.63/291.59 1149.63/291.59 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1149.63/291.59 1149.63/291.59 (0) CpxTRS 1149.63/291.59 (1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] 1149.63/291.59 (2) TRS for Loop Detection 1149.63/291.59 (3) DecreasingLoopProof [LOWER BOUND(ID), 2281 ms] 1149.63/291.59 (4) BEST 1149.63/291.59 (5) proven lower bound 1149.63/291.59 (6) LowerBoundPropagationProof [FINISHED, 0 ms] 1149.63/291.59 (7) BOUNDS(n^1, INF) 1149.63/291.59 (8) TRS for Loop Detection 1149.63/291.59 1149.63/291.59 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (0) 1149.63/291.59 Obligation: 1149.63/291.59 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1149.63/291.59 1149.63/291.59 1149.63/291.59 The TRS R consists of the following rules: 1149.63/291.59 1149.63/291.59 start(i) -> busy(F, closed, stop, false, false, false, i) 1149.63/291.59 busy(BF, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(FS, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, up, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, down, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(B, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(F, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(S, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i) 1149.63/291.59 busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i) 1149.63/291.59 busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i) 1149.63/291.59 busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i) 1149.63/291.59 busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i) 1149.63/291.59 busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i) 1149.63/291.59 busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i) 1149.63/291.59 busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i) 1149.63/291.59 busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i) 1149.63/291.59 busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i) 1149.63/291.59 busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i) 1149.63/291.59 busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i) 1149.63/291.59 busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i) 1149.63/291.59 busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i) 1149.63/291.59 busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty) 1149.63/291.59 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) 1149.63/291.59 or(true, b) -> true 1149.63/291.59 or(false, b) -> b 1149.63/291.59 1149.63/291.59 S is empty. 1149.63/291.59 Rewrite Strategy: INNERMOST 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) 1149.63/291.59 Transformed a relative TRS into a decreasing-loop problem. 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (2) 1149.63/291.59 Obligation: 1149.63/291.59 Analyzing the following TRS for decreasing loops: 1149.63/291.59 1149.63/291.59 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1149.63/291.59 1149.63/291.59 1149.63/291.59 The TRS R consists of the following rules: 1149.63/291.59 1149.63/291.59 start(i) -> busy(F, closed, stop, false, false, false, i) 1149.63/291.59 busy(BF, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(FS, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, up, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, down, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(B, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(F, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(S, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i) 1149.63/291.59 busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i) 1149.63/291.59 busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
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