details

property	value
status	complete
benchmark	43987.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	297.023 seconds
cpu usage	764.555
user time	757.387
system time	7.16792
max virtual memory	1.8685012E7
max residence set size	1.5261224E7

stage attributes

key	value
starexec-result	KILLED

output

KILLED proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 38 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), 48 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 12 ms] (26) CpxRNTS (27) CompletionProof [UPPER BOUND(ID), 0 ms] (28) CpxTypedWeightedCompleteTrs (29) NarrowingProof [BOTH BOUNDS(ID, ID), 3029 ms] (30) CpxTypedWeightedCompleteTrs (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 126 ms] (32) CpxRNTS (33) SimplificationProof [BOTH BOUNDS(ID, ID), 82 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 4842 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 133 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 1 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 25.6 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7395 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(1(2(0(2(2(3(4(3(4(0(0(3(4(1(0(0(x1)))))))))))))))))))) -> 2(2(1(1(3(0(4(0(0(0(3(0(4(3(2(2(2(0(2(3(x1)))))))))))))))))))) 0(0(3(2(1(0(0(1(3(0(4(4(2(1(4(0(2(4(0(0(x1)))))))))))))))))))) -> 3(4(3(2(2(0(3(0(4(3(4(0(2(1(4(4(4(4(0(0(x1)))))))))))))))))))) 0(1(0(1(0(0(3(4(0(4(3(1(3(0(3(2(0(1(2(2(x1)))))))))))))))))))) -> 0(3(0(0(2(4(2(3(1(3(1(0(0(3(0(3(2(1(0(4(x1)))))))))))))))))))) 0(1(2(0(1(4(0(4(3(0(0(1(3(2(2(0(0(2(0(4(x1)))))))))))))))))))) -> 0(3(2(2(3(1(3(3(3(0(1(3(1(2(0(0(3(3(3(1(x1)))))))))))))))))))) 0(1(3(0(1(4(3(0(1(0(4(4(1(4(4(3(4(2(4(2(x1)))))))))))))))))))) -> 3(2(4(3(3(1(1(2(4(3(4(2(4(0(3(2(4(0(0(3(x1)))))))))))))))))))) 0(1(3(2(3(3(0(2(0(2(2(2(2(2(3(4(4(2(2(4(x1)))))))))))))))))))) -> 0(2(3(3(0(3(2(0(2(0(0(1(2(4(3(2(4(3(3(1(x1)))))))))))))))))))) 0(2(2(1(3(3(1(2(4(0(1(2(0(4(3(2(4(3(1(1(x1)))))))))))))))))))) -> 4(4(3(2(1(0(3(3(1(1(4(2(2(4(0(0(3(3(2(1(x1)))))))))))))))))))) 0(2(3(4(0(3(1(0(1(0(2(3(2(3(1(3(2(1(1(0(x1)))))))))))))))))))) -> 3(3(2(3(0(4(2(4(3(3(3(3(0(1(0(3(1(1(0(3(x1)))))))))))))))))))) 0(3(0(2(2(3(2(4(3(4(3(1(2(1(1(1(0(2(0(2(x1)))))))))))))))))))) -> 0(0(3(1(3(4(3(0(2(0(0(3(3(2(3(0(2(1(3(4(x1)))))))))))))))))))) 0(3(0(2(3(4(4(3(0(3(4(3(4(0(2(3(3(2(4(4(x1)))))))))))))))))))) -> 0(3(3(1(0(3(1(1(0(0(0(3(2(2(2(3(2(3(1(1(x1)))))))))))))))))))) 0(3(1(1(1(0(2(4(1(3(4(2(1(2(1(2(3(3(3(4(x1)))))))))))))))))))) -> 3(4(0(4(4(2(4(3(4(3(2(2(3(3(1(2(2(4(3(3(x1)))))))))))))))))))) 0(4(3(0(4(2(3(0(2(2(4(1(1(0(4(0(4(1(2(4(x1)))))))))))))))))))) -> 1(0(0(0(3(3(4(0(0(4(0(2(4(4(4(3(2(4(4(3(x1)))))))))))))))))))) 0(4(3(4(4(1(0(1(4(0(3(2(3(3(1(0(0(2(0(4(x1)))))))))))))))))))) -> 3(0(0(2(3(1(1(0(2(3(2(3(4(3(4(3(4(3(3(4(x1)))))))))))))))))))) 1(0(1(4(0(4(4(3(3(4(3(0(1(0(0(3(3(2(1(3(x1)))))))))))))))))))) -> 0(1(0(3(3(0(1(1(3(4(0(0(3(0(4(3(0(3(0(3(x1)))))))))))))))))))) 1(0(2(0(0(0(1(3(4(0(3(2(0(3(2(0(0(1(1(4(x1)))))))))))))))))))) -> 0(3(3(2(3(2(3(2(2(1(0(3(4(2(1(3(2(0(0(4(x1)))))))))))))))))))) 1(0(2(3(3(4(2(2(0(1(4(3(4(3(1(2(0(0(0(1(x1)))))))))))))))))))) -> 3(1(2(1(3(3(3(3(1(1(0(4(3(0(0(3(1(3(2(0(x1)))))))))))))))))))) 1(0(3(0(1(4(0(1(2(0(1(4(0(3(0(1(0(4(0(4(x1)))))))))))))))))))) -> 3(2(1(3(0(0(2(4(1(2(0(2(3(0(2(0(3(0(0(0(x1)))))))))))))))))))) 1(0(3(3(1(1(2(4(2(0(1(4(4(0(2(4(2(2(4(4(x1)))))))))))))))))))) -> 0(1(0(1(2(1(3(3(0(3(3(0(0(4(4(0(3(1(1(2(x1)))))))))))))))))))) 1(1(0(1(3(1(4(0(4(2(3(2(2(1(2(3(0(2(4(4(x1)))))))))))))))))))) -> 1(4(0(3(0(4(4(2(2(0(0(2(3(2(2(3(1(0(3(4(x1)))))))))))))))))))) 1(1(1(0(0(2(4(0(0(2(1(0(0(1(4(1(1(3(1(0(x1)))))))))))))))))))) -> 1(0(3(3(1(4(4(0(0(0(1(4(4(2(0(0(2(0(1(3(x1)))))))))))))))))))) 1(1(2(2(1(0(4(1(0(4(0(4(2(4(1(2(4(4(3(3(x1)))))))))))))))))))) -> 0(2(0(4(1(1(0(3(0(3(2(1(0(4(3(4(1(2(1(3(x1)))))))))))))))))))) 1(1(4(2(0(2(2(1(3(0(1(2(3(0(4(3(2(1(3(4(x1)))))))))))))))))))) -> 0(3(3(2(1(4(0(1(3(2(4(4(4(0(3(2(4(3(0(0(x1)))))))))))))))))))) 1(1(4(3(3(0(0(4(4(1(1(2(3(4(0(1(0(2(3(4(x1)))))))))))))))))))) -> 2(0(3(0(3(2(2(0(3(4(3(0(1(2(0(2(3(4(2(2(x1)))))))))))))))))))) 1(2(0(1(2(0(2(1(3(1(3(0(1(0(0(2(3(3(1(4(x1)))))))))))))))))))) -> 1(1(0(1(0(2(3(1(4(4(1(0(3(2(1(0(3(2(0(0(x1)))))))))))))))))))) 1(2(0(3(4(3(4(4(2(0(3(0(1(0(4(2(3(3(3(4(x1)))))))))))))))))))) -> 1(1(1(2(0(4(4(2(0(0(1(2(3(3(0(4(4(3(3(0(x1)))))))))))))))))))) 1(2(2(0(0(3(3(1(0(3(2(0(0(0(1(4(4(1(4(2(x1)))))))))))))))))))) -> 0(0(4(2(3(4(0(0(4(0(0(3(2(0(3(1(3(3(1(4(x1)))))))))))))))))))) 1(3(0(0(1(1(3(1(3(3(3(0(2(3(4(2(4(1(0(0(x1)))))))))))))))))))) -> 2(2(0(0(2(3(2(2(0(0(1(1(0(3(2(0(4(3(3(3(x1)))))))))))))))))))) 1(3(0(4(3(3(2(1(1(4(4(3(0(1(3(2(4(4(4(1(x1)))))))))))))))))))) -> 0(3(4(2(3(0(0(2(4(4(3(2(4(2(1(3(1(4(3(1(x1)))))))))))))))))))) 1(3(2(0(3(1(1(4(4(3(3(1(4(1(1(2(0(3(2(3(x1)))))))))))))))))))) -> 3(1(3(2(3(0(4(0(2(4(2(3(0(3(2(1(3(3(3(2(x1)))))))))))))))))))) 1(3(2(3(0(4(1(0(3(1(1(3(1(2(2(3(3(1(2(2(x1)))))))))))))))))))) -> 3(1(1(2(3(0(1(1(3(3(3(0(3(3(1(3(0(1(3(2(x1)))))))))))))))))))) 1(4(0(0(0(1(3(0(3(4(4(0(1(3(2(1(2(0(0(3(x1)))))))))))))))))))) -> 1(0(0(4(2(2(0(2(3(3(2(3(4(4(0(2(4(3(1(4(x1)))))))))))))))))))) 1(4(0(3(1(4(0(1(1(3(4(1(2(2(2(3(3(1(0(2(x1)))))))))))))))))))) -> 2(3(4(0(2(3(4(2(2(2(1(0(1(2(2(3(0(2(4(2(x1)))))))))))))))))))) 1(4(2(0(1(1(1(0(3(0(0(0(1(3(2(1(1(0(0(3(x1)))))))))))))))))))) -> 3(3(0(4(3(2(3(2(1(3(4(3(3(0(2(1(3(0(1(0(x1)))))))))))))))))))) 1(4(2(2(2(2(1(1(3(2(2(2(2(0(2(4(2(4(3(0(x1)))))))))))))))))))) -> 4(4(0(3(3(3(0(4(1(2(3(2(0(0(4(3(0(2(3(3(x1)))))))))))))))))))) 1(4(3(3(3(3(4(2(3(0(1(2(3(4(0(3(4(2(4(4(x1)))))))))))))))))))) -> 2(3(3(3(3(0(2(0(3(2(1(2(4(2(3(0(3(1(0(1(x1)))))))))))))))))))) popout

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all output return to Derivational Complexity: TRS Innermost