details

property	value
status	complete
benchmark	58301.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	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	296.651 seconds
cpu usage	1167.08
user time	1157.24
system time	9.84531
max virtual memory	1.8891312E7
max residence set size	1.372792E7

stage attributes

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

output

WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(n^1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 48 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (8) BEST (9) proven lower bound (10) LowerBoundPropagationProof [FINISHED, 0 ms] (11) BOUNDS(n^1, INF) (12) TRS for Loop Detection ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: 0(0(1(x1))) -> 1(2(0(2(0(x1))))) 0(0(1(x1))) -> 2(0(2(1(0(x1))))) 0(0(1(x1))) -> 2(1(0(2(0(x1))))) 0(0(1(x1))) -> 1(1(2(0(2(0(x1)))))) 0(0(1(x1))) -> 1(2(0(2(0(2(x1)))))) 0(0(1(x1))) -> 1(2(0(2(0(3(x1)))))) 0(0(1(x1))) -> 1(2(0(2(0(4(x1)))))) 0(0(1(x1))) -> 1(2(0(2(2(0(x1)))))) 0(0(1(x1))) -> 1(2(0(2(3(0(x1)))))) 0(0(1(x1))) -> 1(2(0(2(5(0(x1)))))) 0(0(1(x1))) -> 1(2(0(3(2(0(x1)))))) 0(0(1(x1))) -> 1(2(1(0(2(0(x1)))))) 0(0(1(x1))) -> 1(2(2(0(2(0(x1)))))) 0(0(1(x1))) -> 1(2(2(0(3(0(x1)))))) 0(0(1(x1))) -> 1(2(2(0(4(0(x1)))))) 0(0(1(x1))) -> 1(2(3(0(2(0(x1)))))) 0(0(1(x1))) -> 1(2(5(0(2(0(x1)))))) 0(0(1(x1))) -> 1(3(2(0(2(0(x1)))))) 0(0(1(x1))) -> 2(0(1(2(0(2(x1)))))) 0(0(1(x1))) -> 2(0(1(2(2(0(x1)))))) 0(0(1(x1))) -> 2(0(1(3(0(2(x1)))))) 0(0(1(x1))) -> 2(0(2(0(2(1(x1)))))) 0(0(1(x1))) -> 2(0(2(1(0(2(x1)))))) 0(0(1(x1))) -> 2(0(2(1(0(4(x1)))))) 0(0(1(x1))) -> 2(0(2(1(2(0(x1)))))) 0(0(1(x1))) -> 2(0(2(3(1(0(x1)))))) 0(0(1(x1))) -> 2(0(2(5(1(0(x1)))))) 0(0(1(x1))) -> 2(1(0(2(0(2(x1)))))) 0(0(1(x1))) -> 2(1(0(2(2(0(x1)))))) 0(0(1(x1))) -> 2(1(0(2(5(0(x1)))))) 0(0(1(x1))) -> 2(1(2(0(2(0(x1)))))) 0(0(1(x1))) -> 2(1(2(0(4(0(x1)))))) 0(0(1(x1))) -> 2(1(4(0(2(0(x1)))))) 0(0(1(x1))) -> 2(1(4(0(4(0(x1)))))) 0(0(1(x1))) -> 2(2(0(2(1(0(x1)))))) 0(0(1(x1))) -> 2(2(0(4(1(0(x1)))))) 0(0(1(x1))) -> 2(2(1(0(2(0(x1)))))) 0(0(1(x1))) -> 3(1(2(0(2(0(x1)))))) 0(0(0(1(x1)))) -> 0(0(1(2(0(2(x1)))))) 0(0(0(1(x1)))) -> 0(2(1(0(2(0(x1)))))) 0(0(0(1(x1)))) -> 2(0(2(1(0(0(x1)))))) 0(0(1(0(x1)))) -> 0(0(2(0(2(1(x1)))))) 0(0(1(1(x1)))) -> 2(0(1(2(1(0(x1)))))) 0(0(1(1(x1)))) -> 2(0(2(0(1(1(x1)))))) 0(0(1(1(x1)))) -> 2(1(0(2(0(1(x1)))))) 0(0(3(1(x1)))) -> 2(0(1(3(0(x1))))) 0(0(3(1(x1)))) -> 2(0(1(3(0(2(x1)))))) 0(0(3(1(x1)))) -> 2(0(2(3(1(0(x1)))))) 0(0(3(1(x1)))) -> 2(1(0(2(0(3(x1)))))) 0(0(3(1(x1)))) -> 3(2(0(2(1(0(x1)))))) 0(0(5(1(x1)))) -> 0(2(5(1(0(x1))))) 0(0(5(1(x1)))) -> 0(5(0(2(1(x1))))) 0(0(5(1(x1)))) -> 2(5(0(0(1(x1))))) 0(0(5(1(x1)))) -> 2(5(1(0(0(x1))))) 0(0(5(1(x1)))) -> 0(1(2(5(2(0(x1)))))) 0(0(5(1(x1)))) -> 0(2(1(2(5(0(x1)))))) 0(0(5(1(x1)))) -> 0(2(1(4(5(0(x1)))))) 0(0(5(1(x1)))) -> 1(2(0(0(2(5(x1)))))) 0(0(5(1(x1)))) -> 2(0(2(1(0(5(x1)))))) 0(0(5(1(x1)))) -> 2(1(0(4(5(0(x1)))))) 0(0(5(1(x1)))) -> 2(5(0(2(1(0(x1)))))) 0(1(0(1(x1)))) -> 0(0(1(2(1(x1))))) 0(1(0(1(x1)))) -> 1(2(1(0(0(x1))))) 0(1(0(1(x1)))) -> 2(1(0(0(1(x1))))) 0(1(0(1(x1)))) -> 0(0(1(1(2(2(x1)))))) 0(1(0(1(x1)))) -> 0(1(1(3(2(0(x1)))))) 0(1(0(1(x1)))) -> 1(1(3(2(0(0(x1)))))) 0(1(0(1(x1)))) -> 1(2(0(2(0(1(x1)))))) 0(1(0(1(x1)))) -> 1(2(2(0(0(1(x1)))))) popout

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

job log

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actions

all output return to Derivational Complexity: TRS