details

property	value
status	complete
benchmark	97885.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	297.094 seconds
cpu usage	1059.15
user time	1056.22
system time	2.9296
max virtual memory	1.8755432E7
max residence set size	5950252.0

stage attributes

key	value
starexec-result	KILLED

output

KILLED proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 45 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 6 ms] (10) typed CpxTrs (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (12) TRS for Loop Detection (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxWeightedTrs (19) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 14 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 2 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 4518 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 9 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 23 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 25 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 19.5 s] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 118 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 12 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 101.4 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 28.2 s] (46) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(1(2(0(1(2(0(0(1(2(1(0(2(1(1(0(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(2(2(2(2(1(0(1(2(0(0(0(0(0(2(0(2(2(2(0(2(1(0(x1))))))))))))))))))))))))))) 0(0(0(1(1(2(2(0(1(2(0(2(0(1(0(0(1(2(0(0(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(0(2(0(2(1(2(0(0(0(0(0(0(0(0(0(1(2(2(2(2(0(x1))))))))))))))))))))))))))) 0(0(0(1(2(2(1(0(0(1(2(1(1(0(1(0(2(0(2(1(0(1(2(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(0(1(0(0(2(2(2(0(1(2(0(1(1(2(2(0(1(1(0(0(2(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(0(0(0(2(2(0(2(2(1(1(1(1(2(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(2(1(0(1(1(0(0(0(1(0(0(1(0(2(2(0(0(0(0(0(1(0(2(0(0(x1))))))))))))))))))))))))))) 0(0(2(0(0(2(0(0(1(1(2(2(0(2(0(1(1(0(0(1(0(2(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(2(2(1(2(0(0(0(0(0(2(0(2(2(1(2(1(2(1(2(2(2(2(x1))))))))))))))))))))))))))) 0(0(2(0(1(0(1(0(2(1(0(0(1(0(1(0(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(2(1(2(2(2(0(1(2(0(0(1(0(0(0(1(0(2(0(0(0(1(1(x1))))))))))))))))))))))))))) 0(0(2(0(1(1(1(0(1(0(0(0(2(1(1(0(0(2(2(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(2(2(2(0(2(0(0(2(0(0(1(1(0(2(0(2(2(2(2(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 0(0(2(1(1(0(1(0(2(2(1(1(2(0(1(0(1(2(1(1(1(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(1(2(0(2(2(0(2(2(0(2(0(0(0(2(1(0(0(0(1(0(0(0(2(x1))))))))))))))))))))))))))) 0(0(2(1(2(0(1(2(0(1(2(1(2(2(1(2(1(2(1(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(1(2(0(2(1(2(0(2(1(0(0(2(0(0(2(2(2(1(0(0(x1))))))))))))))))))))))))))) 0(0(2(2(0(1(0(2(1(0(2(1(2(0(2(1(2(2(0(1(1(2(0(x1))))))))))))))))))))))) -> 0(1(2(0(1(2(1(2(2(0(2(1(2(2(1(2(0(0(1(0(0(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 0(1(0(0(0(1(2(1(1(1(1(1(2(1(1(2(1(2(2(1(1(2(2(x1))))))))))))))))))))))) -> 0(2(1(0(2(0(2(1(0(1(0(2(1(2(2(0(0(1(2(1(0(0(0(1(2(2(2(x1))))))))))))))))))))))))))) 0(1(0(1(0(1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(1(0(2(0(1(2(1(0(0(0(2(2(0(1(0(2(1(2(0(0(0(0(2(0(2(x1))))))))))))))))))))))))))) 0(1(0(1(1(0(0(2(2(1(2(1(0(1(1(1(2(2(1(1(2(1(1(x1))))))))))))))))))))))) -> 0(1(2(2(0(0(1(1(0(0(2(1(2(0(0(1(0(0(1(0(0(1(1(2(2(1(2(x1))))))))))))))))))))))))))) 0(1(0(1(2(1(2(2(2(1(1(2(0(2(1(1(0(2(1(2(1(0(0(x1))))))))))))))))))))))) -> 0(2(0(1(1(0(2(2(0(1(0(2(0(2(2(2(2(1(2(2(2(0(1(2(1(0(0(x1))))))))))))))))))))))))))) 0(1(0(2(1(2(1(0(1(0(2(2(1(1(0(2(2(0(1(0(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(1(0(0(0(2(0(1(2(0(2(2(2(1(1(0(1(0(0(0(1(0(1(x1))))))))))))))))))))))))))) 0(1(0(2(1(2(2(1(0(2(1(2(0(2(2(2(0(1(2(2(1(0(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(0(0(2(1(2(0(0(1(0(0(1(0(1(1(1(2(2(2(2(1(2(1(x1))))))))))))))))))))))))))) 0(1(1(1(1(0(0(2(0(2(0(0(1(1(2(1(2(1(0(1(1(1(0(x1))))))))))))))))))))))) -> 0(1(0(1(1(2(2(1(1(1(2(0(0(2(0(2(0(2(1(2(2(1(0(1(0(0(0(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(0(1(2(1(1(1(2(2(0(1(0(1(0(0(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(0(2(0(1(1(0(2(2(0(1(2(0(0(1(0(2(2(0(1(2(1(2(2(0(x1))))))))))))))))))))))))))) 0(1(1(2(0(0(0(0(0(0(2(1(1(2(2(2(2(1(0(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(0(0(1(0(0(1(0(2(2(2(2(1(2(1(2(2(1(1(2(0(0(0(2(2(2(x1))))))))))))))))))))))))))) 0(1(1(2(1(1(1(0(0(2(1(0(2(2(2(0(2(2(1(0(1(1(1(x1))))))))))))))))))))))) -> 0(1(1(0(1(1(0(1(0(0(2(1(2(0(0(2(0(0(2(2(0(0(2(2(1(2(0(x1))))))))))))))))))))))))))) 0(1(1(2(2(0(1(0(1(0(0(2(0(0(2(0(0(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(1(0(2(2(1(1(0(2(2(1(0(0(0(0(2(0(1(0(2(2(2(2(1(0(1(0(x1))))))))))))))))))))))))))) 0(1(2(0(1(0(0(2(2(1(1(0(0(1(2(0(0(2(1(2(1(1(0(x1))))))))))))))))))))))) -> 0(2(1(2(1(0(1(0(1(2(2(1(0(0(0(0(0(0(2(2(2(0(0(0(2(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(2(0(1(2(1(2(0(1(0(2(1(2(2(1(0(0(1(0(2(x1))))))))))))))))))))))) -> 0(0(0(1(1(0(2(1(0(0(0(1(1(2(2(1(0(2(2(2(1(2(2(2(1(1(2(x1))))))))))))))))))))))))))) 0(2(0(0(1(1(1(0(0(2(2(0(2(2(0(0(1(2(2(0(0(1(2(x1))))))))))))))))))))))) -> 0(0(2(2(0(1(0(2(2(1(0(0(0(0(2(1(0(2(0(1(0(0(1(0(0(0(2(x1))))))))))))))))))))))))))) 0(2(0(1(2(2(0(2(1(0(1(0(0(0(0(0(0(2(1(1(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(0(2(2(2(2(1(1(2(1(1(2(1(2(1(2(1(0(0(0(0(0(1(0(1(x1))))))))))))))))))))))))))) 0(2(0(1(2(2(2(2(1(1(2(0(2(1(1(0(2(2(2(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(0(1(0(2(2(0(1(0(2(2(2(2(2(2(2(0(0(2(2(1(0(2(x1))))))))))))))))))))))))))) 0(2(0(2(0(0(2(2(0(0(0(1(2(0(1(1(0(0(1(2(1(1(1(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(1(0(0(1(1(0(0(2(1(0(0(2(0(0(1(0(2(1(x1))))))))))))))))))))))))))) 0(2(0(2(2(1(0(0(1(0(0(2(0(2(1(2(1(2(0(0(1(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(0(2(1(0(1(2(2(1(2(2(2(0(0(0(1(1(0(1(2(0(0(x1))))))))))))))))))))))))))) 0(2(1(2(1(2(0(0(0(1(0(2(0(0(1(0(2(1(0(2(2(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(0(0(0(0(2(2(0(0(0(1(1(0(1(1(2(0(0(0(2(2(2(x1))))))))))))))))))))))))))) 0(2(2(0(2(1(2(1(1(1(1(0(0(2(1(1(2(2(2(0(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(0(2(2(2(1(0(2(2(0(1(1(1(0(2(1(1(2(1(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 0(2(2(1(2(1(1(0(1(2(0(2(1(2(2(0(0(1(2(2(1(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(2(2(1(0(2(0(0(2(1(2(2(2(0(0(0(0(0(1(x1))))))))))))))))))))))))))) 0(2(2(2(1(2(1(0(2(0(0(1(0(1(2(0(1(2(1(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(2(0(2(0(1(0(2(2(2(0(0(0(1(0(2(2(2(2(0(2(0(0(x1))))))))))))))))))))))))))) 1(0(0(2(0(1(0(0(1(0(1(0(0(1(1(2(1(0(1(2(1(1(1(x1))))))))))))))))))))))) -> 0(2(2(2(1(2(1(0(2(2(2(1(0(0(2(2(2(0(0(0(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 1(0(0(2(1(0(1(2(2(2(1(0(2(2(2(0(1(0(1(2(0(2(2(x1))))))))))))))))))))))) -> 1(0(2(2(0(0(2(2(1(0(2(2(2(2(2(2(0(2(0(0(2(1(2(2(1(2(2(x1))))))))))))))))))))))))))) 1(0(0(2(1(1(2(0(0(1(0(0(1(2(0(1(0(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(0(0(2(0(0(0(1(2(2(1(2(1(1(0(0(0(0(2(0(0(0(1(1(1(0(x1))))))))))))))))))))))))))) popout

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all output return to Derivational Complexity: TRS Innermost