details

property	value
status	complete
benchmark	130472.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	294.404 seconds
cpu usage	1017.18
user time	1010.59
system time	6.58917
max virtual memory	1.8687464E7
max residence set size	1.4771684E7

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 29 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), 64 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 16 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 3476 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 123 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 99 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 6 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 38 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 5036 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 80 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 6 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 26.2 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7754 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7811 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7834 ms] (50) 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(1(3(2(2(3(2(3(0(3(2(1(3(1(x1)))))))))))))))))))) -> 1(1(1(1(0(2(0(0(2(4(0(3(0(1(1(0(1(1(0(2(x1)))))))))))))))))))) 0(0(0(0(3(1(4(4(0(4(0(0(3(0(4(2(3(1(2(3(x1)))))))))))))))))))) -> 2(3(2(0(1(4(1(0(2(3(0(4(2(4(2(1(1(1(2(3(x1)))))))))))))))))))) 0(0(0(1(1(1(4(4(1(1(4(2(2(0(2(2(2(2(4(4(x1)))))))))))))))))))) -> 1(2(1(3(2(1(0(4(4(3(3(0(0(0(0(3(4(1(1(2(x1)))))))))))))))))))) 0(0(2(2(1(3(3(2(0(3(1(0(3(3(4(1(3(0(4(2(x1)))))))))))))))))))) -> 3(1(4(0(2(0(2(1(1(2(2(0(2(4(2(3(1(0(0(1(x1)))))))))))))))))))) 0(0(2(4(3(2(1(2(2(3(0(2(1(0(0(3(0(2(2(0(x1)))))))))))))))))))) -> 0(0(2(1(0(2(1(0(1(0(2(0(1(3(4(3(2(0(0(0(x1)))))))))))))))))))) 0(0(4(0(0(1(0(2(2(2(1(1(2(3(1(3(3(2(1(4(x1)))))))))))))))))))) -> 0(1(1(0(2(1(3(1(0(0(4(3(4(0(0(4(4(3(2(1(x1)))))))))))))))))))) 0(0(4(4(3(2(4(2(1(1(1(0(0(4(2(1(1(0(1(2(x1)))))))))))))))))))) -> 1(1(3(0(3(0(1(1(4(0(0(1(1(0(2(4(0(0(0(0(x1)))))))))))))))))))) 0(1(0(2(2(1(0(3(3(4(0(2(2(0(0(1(4(0(3(0(x1)))))))))))))))))))) -> 0(1(1(4(3(1(0(2(4(0(1(3(3(1(3(3(0(3(0(2(x1)))))))))))))))))))) 0(1(1(0(3(0(0(3(4(4(4(0(4(1(4(3(2(2(0(0(x1)))))))))))))))))))) -> 3(4(2(0(4(0(1(1(2(0(4(1(1(1(0(4(3(1(3(1(x1)))))))))))))))))))) 0(1(1(0(3(2(1(2(3(0(2(1(3(3(0(3(4(3(1(3(x1)))))))))))))))))))) -> 3(3(1(1(1(4(1(1(3(2(2(1(1(1(1(0(0(4(0(1(x1)))))))))))))))))))) 0(1(1(1(3(3(4(0(4(0(3(1(0(3(0(1(4(2(1(3(x1)))))))))))))))))))) -> 0(2(0(2(0(1(0(1(1(3(0(3(4(1(2(1(1(1(2(0(x1)))))))))))))))))))) 0(1(1(2(3(3(4(0(3(2(3(1(4(2(4(3(1(1(1(1(x1)))))))))))))))))))) -> 4(3(3(1(1(1(1(1(2(3(0(1(1(1(4(4(0(4(0(1(x1)))))))))))))))))))) 0(1(3(1(4(3(4(2(3(4(0(2(0(3(2(1(0(1(0(3(x1)))))))))))))))))))) -> 2(2(4(2(1(0(2(0(0(2(3(1(1(3(3(1(2(2(1(1(x1)))))))))))))))))))) 0(1(3(2(3(2(0(0(3(4(2(0(4(0(2(0(4(3(3(4(x1)))))))))))))))))))) -> 0(4(0(1(3(0(3(4(2(4(3(1(3(3(0(2(1(2(3(0(x1)))))))))))))))))))) 0(1(4(2(4(4(0(0(1(0(0(2(3(0(1(4(0(3(2(0(x1)))))))))))))))))))) -> 0(1(2(0(2(1(0(2(0(2(3(1(1(1(0(1(2(4(3(2(x1)))))))))))))))))))) 0(2(1(2(0(1(3(2(0(4(0(1(0(3(1(3(0(4(3(0(x1)))))))))))))))))))) -> 4(2(0(1(1(0(0(2(3(0(3(3(0(1(2(4(3(1(0(0(x1)))))))))))))))))))) 0(2(2(0(4(1(1(2(3(2(0(4(2(0(4(4(2(2(4(3(x1)))))))))))))))))))) -> 4(3(2(3(4(2(4(3(1(1(0(0(2(2(2(2(2(1(3(3(x1)))))))))))))))))))) 0(2(4(3(3(0(1(2(4(3(3(4(1(4(2(1(1(3(4(4(x1)))))))))))))))))))) -> 3(4(4(0(4(4(0(3(1(1(3(2(2(3(0(1(0(0(0(1(x1)))))))))))))))))))) 0(3(0(2(4(3(0(4(1(3(3(4(3(2(1(1(2(0(3(2(x1)))))))))))))))))))) -> 4(4(0(2(0(0(1(1(4(3(4(0(1(2(1(4(2(0(0(1(x1)))))))))))))))))))) 0(3(1(2(3(4(1(1(0(4(3(4(2(3(1(4(2(2(2(1(x1)))))))))))))))))))) -> 2(0(1(0(1(1(4(3(2(1(1(1(4(1(0(2(1(0(4(4(x1)))))))))))))))))))) 0(3(2(0(3(2(1(4(1(2(3(0(1(4(2(1(0(2(1(3(x1)))))))))))))))))))) -> 1(1(3(1(3(2(4(1(3(2(0(0(0(2(1(4(1(3(0(1(x1)))))))))))))))))))) 0(3(2(4(4(3(3(0(4(4(3(1(0(1(3(0(2(1(2(0(x1)))))))))))))))))))) -> 0(3(0(1(1(1(4(0(2(1(4(2(4(1(4(4(4(4(1(0(x1)))))))))))))))))))) 0(3(3(4(0(2(3(0(2(1(3(1(1(3(2(2(1(0(3(2(x1)))))))))))))))))))) -> 1(3(3(4(3(4(0(0(3(2(0(2(1(1(3(0(3(0(1(1(x1)))))))))))))))))))) 0(3(3(4(2(0(0(4(1(0(1(2(1(4(2(2(2(2(1(0(x1)))))))))))))))))))) -> 1(3(1(3(4(0(1(1(3(0(0(1(4(2(1(3(3(4(1(1(x1)))))))))))))))))))) 0(3(4(0(0(2(2(2(2(2(1(4(1(4(1(2(3(3(2(4(x1)))))))))))))))))))) -> 1(4(0(0(1(4(0(0(3(1(2(3(2(3(1(3(1(3(4(4(x1)))))))))))))))))))) 0(4(0(0(4(1(2(3(2(0(2(0(4(2(4(4(1(2(1(1(x1)))))))))))))))))))) -> 2(1(1(3(2(1(4(4(1(2(0(4(3(0(2(1(1(2(2(2(x1)))))))))))))))))))) 0(4(2(2(1(0(2(1(1(1(3(2(4(1(3(0(2(0(0(1(x1)))))))))))))))))))) -> 0(0(0(0(0(1(1(3(1(0(1(1(0(3(2(2(0(4(4(1(x1)))))))))))))))))))) 0(4(2(2(1(2(0(3(4(2(1(3(2(2(3(1(0(0(1(1(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(0(0(4(4(1(4(1(4(1(1(0(0(x1)))))))))))))))))))) 0(4(3(3(2(0(0(1(1(4(0(1(3(4(2(0(4(1(2(3(x1)))))))))))))))))))) -> 1(1(2(3(0(3(0(3(4(1(1(2(0(2(2(2(2(0(3(0(x1)))))))))))))))))))) 1(0(0(3(3(1(1(3(1(2(4(4(2(0(2(1(2(2(0(3(x1)))))))))))))))))))) -> 2(0(2(2(4(1(1(1(3(1(1(4(1(2(4(3(4(1(3(2(x1)))))))))))))))))))) 1(0(1(2(1(0(2(2(2(2(1(0(3(3(4(1(2(1(3(0(x1)))))))))))))))))))) -> 1(1(1(4(2(0(4(4(2(3(2(1(0(4(2(4(1(0(0(0(x1)))))))))))))))))))) popout

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

job log

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all output return to Derivational Complexity: TRS Innermost