details

property	value
status	complete
benchmark	136934.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	296.897 seconds
cpu usage	752.719
user time	744.928
system time	7.79126
max virtual memory	1.881934E7
max residence set size	1.5227936E7

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 179 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (10) typed CpxTrs (11) OrderProof [LOWER BOUND(ID), 0 ms] (12) typed CpxTrs (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), 51 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 3 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 13 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 2622 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 285 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 217 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 9 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 12 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 4199 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 123 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 23.3 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6642 ms] (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(1(2(2(3(4(0(4(1(4(1(3(0(3(2(5(0(3(x1)))))))))))))))))))) -> 5(3(4(4(1(3(3(5(5(3(2(2(0(2(0(2(5(0(3(1(x1)))))))))))))))))))) 0(0(1(3(5(5(3(5(0(1(1(1(3(2(4(1(3(0(4(1(x1)))))))))))))))))))) -> 5(3(1(1(0(3(5(1(4(1(2(5(3(5(1(3(4(4(2(0(x1)))))))))))))))))))) 0(0(2(4(5(3(0(0(2(4(2(0(2(2(5(4(1(4(5(5(x1)))))))))))))))))))) -> 0(2(2(5(1(1(2(2(2(0(2(0(3(2(5(3(0(2(3(3(x1)))))))))))))))))))) 0(0(3(2(2(0(2(4(2(4(1(5(5(3(0(4(0(2(1(3(x1)))))))))))))))))))) -> 2(5(5(4(1(1(3(3(2(4(1(4(4(4(3(1(5(5(3(5(x1)))))))))))))))))))) 0(0(3(2(5(0(2(3(1(2(5(4(0(1(3(3(1(3(5(1(x1)))))))))))))))))))) -> 3(3(1(1(0(1(5(4(4(4(2(4(4(3(5(2(5(4(3(0(x1)))))))))))))))))))) 0(0(4(0(4(3(0(5(2(1(2(0(5(4(0(3(3(2(2(5(x1)))))))))))))))))))) -> 4(3(5(3(1(0(3(4(2(5(2(1(4(1(2(5(3(1(5(5(x1)))))))))))))))))))) 0(0(4(2(1(1(1(1(1(2(0(5(3(4(1(4(3(0(5(1(x1)))))))))))))))))))) -> 0(3(4(5(1(2(0(5(5(3(5(3(3(2(2(3(4(0(2(4(x1)))))))))))))))))))) 0(1(2(3(1(5(1(1(5(1(4(5(5(3(5(0(4(3(2(3(x1)))))))))))))))))))) -> 2(4(2(4(3(0(3(4(5(5(5(4(0(2(0(5(4(2(4(3(x1)))))))))))))))))))) 0(1(5(0(3(1(3(5(0(1(0(2(2(5(2(1(0(2(2(0(x1)))))))))))))))))))) -> 5(2(2(0(5(0(4(5(4(0(4(3(4(4(4(0(2(4(0(2(x1)))))))))))))))))))) 0(2(1(1(4(2(1(4(2(5(4(2(4(5(0(5(2(2(1(0(x1)))))))))))))))))))) -> 5(4(1(5(2(3(5(4(1(5(1(0(5(1(0(2(2(3(3(2(x1)))))))))))))))))))) 0(2(2(0(2(2(2(2(5(0(1(3(1(4(2(4(3(0(4(3(x1)))))))))))))))))))) -> 1(3(4(5(3(5(5(2(4(1(2(4(5(0(3(4(2(2(2(2(x1)))))))))))))))))))) 0(2(5(0(0(1(3(3(1(5(4(5(1(0(3(1(4(3(5(4(x1)))))))))))))))))))) -> 0(4(1(4(3(5(4(2(3(4(5(3(5(2(1(2(3(0(5(0(x1)))))))))))))))))))) 0(2(5(1(5(1(0(4(3(3(4(0(0(2(3(5(5(1(0(0(x1)))))))))))))))))))) -> 3(1(5(5(0(0(4(2(0(3(3(3(5(0(0(1(5(0(3(3(x1)))))))))))))))))))) 0(2(5(2(0(1(0(5(5(5(2(0(4(1(3(3(5(3(4(2(x1)))))))))))))))))))) -> 0(3(4(5(3(2(2(1(4(2(5(2(3(3(3(1(2(2(5(4(x1)))))))))))))))))))) 0(4(4(1(2(0(1(4(1(1(5(4(0(3(4(0(4(5(2(1(x1)))))))))))))))))))) -> 5(3(5(2(4(2(4(1(4(3(3(5(3(3(4(2(0(4(4(3(x1)))))))))))))))))))) 0(5(0(2(5(2(1(0(2(0(3(3(1(1(0(4(4(4(5(0(x1)))))))))))))))))))) -> 0(5(2(5(3(2(2(0(0(2(5(0(5(2(3(3(2(1(2(4(x1)))))))))))))))))))) 0(5(3(1(4(2(4(3(1(1(2(1(2(3(0(1(1(1(1(5(x1)))))))))))))))))))) -> 2(0(3(4(3(4(3(3(1(4(2(4(3(2(3(3(1(5(4(5(x1)))))))))))))))))))) 0(5(4(3(3(5(0(2(4(1(1(4(1(5(2(5(1(0(2(3(x1)))))))))))))))))))) -> 2(4(3(3(5(3(2(0(1(5(0(1(3(3(3(2(2(1(3(4(x1)))))))))))))))))))) 1(0(4(4(1(3(5(1(2(0(1(4(3(4(3(2(3(0(5(1(x1)))))))))))))))))))) -> 4(1(0(1(1(2(5(2(3(4(3(5(2(1(2(2(1(0(2(1(x1)))))))))))))))))))) 1(0(4(4(2(4(1(0(2(4(1(4(4(0(2(0(1(0(2(3(x1)))))))))))))))))))) -> 2(2(2(1(5(0(2(3(4(3(3(5(0(0(4(1(3(3(0(1(x1)))))))))))))))))))) 1(0(5(5(2(5(4(0(3(3(0(1(5(0(1(0(2(2(1(1(x1)))))))))))))))))))) -> 3(3(2(5(3(3(4(3(3(2(3(4(5(0(2(1(2(3(5(4(x1)))))))))))))))))))) 1(1(0(3(2(1(1(2(1(4(5(3(2(2(4(2(4(2(0(0(x1)))))))))))))))))))) -> 2(4(0(5(4(3(4(5(1(5(4(5(0(2(3(2(5(0(2(3(x1)))))))))))))))))))) 1(1(0(3(2(2(0(5(5(1(0(5(3(0(0(3(5(4(4(0(x1)))))))))))))))))))) -> 0(2(2(0(0(3(2(5(3(4(1(3(4(4(3(1(0(5(3(5(x1)))))))))))))))))))) 1(2(0(3(2(4(4(3(5(1(5(1(1(2(5(2(2(5(5(3(x1)))))))))))))))))))) -> 4(5(2(0(4(2(4(5(3(3(1(1(5(3(4(2(3(0(3(3(x1)))))))))))))))))))) 1(2(1(4(5(3(1(3(0(1(0(2(5(5(4(1(1(5(1(1(x1)))))))))))))))))))) -> 0(5(5(3(4(2(5(3(2(2(1(2(5(2(2(1(4(5(5(2(x1)))))))))))))))))))) 1(2(2(1(3(0(4(0(2(0(3(5(0(2(4(2(3(2(5(2(x1)))))))))))))))))))) -> 2(5(0(1(5(5(5(4(4(2(1(2(1(2(4(4(3(0(2(2(x1)))))))))))))))))))) 1(2(2(5(4(4(3(2(2(5(5(3(3(0(0(3(5(1(0(4(x1)))))))))))))))))))) -> 5(3(3(4(3(4(0(2(4(3(4(5(1(4(4(5(2(1(5(0(x1)))))))))))))))))))) 1(2(4(0(0(2(4(3(5(4(1(4(5(3(1(3(1(3(0(1(x1)))))))))))))))))))) -> 3(4(0(1(3(1(4(0(0(3(0(3(1(0(5(4(1(1(3(4(x1)))))))))))))))))))) 1(2(5(5(0(4(4(3(0(4(2(2(1(0(3(2(3(4(1(2(x1)))))))))))))))))))) -> 5(3(4(5(3(2(2(2(5(0(2(4(0(3(4(0(1(4(4(2(x1)))))))))))))))))))) 1(3(0(2(4(2(4(3(2(4(0(1(3(4(1(5(1(4(4(5(x1)))))))))))))))))))) -> 4(3(5(5(3(2(5(5(0(3(0(3(3(3(1(5(0(2(3(4(x1)))))))))))))))))))) 1(3(4(0(1(0(3(5(0(2(0(3(1(1(0(2(2(0(1(1(x1)))))))))))))))))))) -> 5(3(0(2(4(2(5(5(5(2(4(1(4(4(3(3(3(4(5(3(x1)))))))))))))))))))) 1(3(4(2(5(0(1(0(2(3(1(0(2(2(2(3(3(0(1(4(x1)))))))))))))))))))) -> 5(1(3(3(4(2(1(1(0(5(3(2(5(1(4(1(3(0(5(3(x1)))))))))))))))))))) 1(3(4(4(3(3(0(5(4(1(1(0(4(2(0(0(2(5(4(4(x1)))))))))))))))))))) -> 1(2(3(0(5(4(1(5(4(2(0(1(1(4(5(5(5(3(4(4(x1)))))))))))))))))))) 1(3(5(3(2(4(4(0(1(4(0(4(0(4(5(5(2(5(1(0(x1)))))))))))))))))))) -> 4(5(3(3(3(5(5(0(5(5(0(2(4(4(4(1(0(4(0(5(x1)))))))))))))))))))) 1(4(0(1(1(4(5(3(0(1(1(5(1(2(1(1(5(0(5(5(x1)))))))))))))))))))) -> 3(2(3(1(1(0(1(1(2(0(5(1(5(4(2(3(3(4(3(4(x1)))))))))))))))))))) popout

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

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all output return to Derivational Complexity: TRS Innermost