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Derivational Complexity: TRS Innermost pair #487106796
details
property
value
status
complete
benchmark
133432.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.204 seconds
cpu usage
831.347
user time
823.448
system time
7.89859
max virtual memory
1.8818356E7
max residence set size
1.483206E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 165 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), 21 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 25 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 2656 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 218 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 116 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 32 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 4123 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 116 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 13 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 23.0 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6698 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6704 ms] (48) 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(3(4(5(0(5(4(1(5(1(1(5(4(1(5(x1)))))))))))))))))))) -> 0(2(5(1(0(0(5(0(4(1(4(1(2(4(1(4(1(5(0(1(x1)))))))))))))))))))) 0(1(1(2(3(3(4(0(4(0(4(4(5(3(3(3(1(5(1(4(x1)))))))))))))))))))) -> 4(1(5(4(4(0(5(5(3(4(4(1(0(4(0(3(2(2(0(4(x1)))))))))))))))))))) 0(1(4(1(2(5(3(0(2(4(1(0(4(2(1(5(1(3(1(3(x1)))))))))))))))))))) -> 0(2(4(3(1(5(0(3(4(1(3(1(2(0(5(1(4(0(1(0(x1)))))))))))))))))))) 0(1(4(3(0(5(2(5(3(2(1(0(5(1(0(3(4(3(5(5(x1)))))))))))))))))))) -> 0(4(0(1(5(0(2(2(5(0(3(4(1(4(1(0(1(5(0(0(x1)))))))))))))))))))) 0(1(5(0(1(5(2(0(1(5(0(4(0(4(5(1(3(2(3(4(x1)))))))))))))))))))) -> 4(2(4(2(2(1(4(3(1(4(4(4(0(1(4(2(2(0(1(3(x1)))))))))))))))))))) 0(2(0(1(5(5(0(1(4(1(4(1(1(3(5(5(3(2(2(5(x1)))))))))))))))))))) -> 1(4(1(1(2(5(0(1(4(5(0(0(2(2(4(2(0(0(3(5(x1)))))))))))))))))))) 0(2(3(3(3(0(4(5(1(3(4(2(5(2(2(0(0(0(0(2(x1)))))))))))))))))))) -> 5(5(2(4(4(1(1(4(1(0(2(5(2(2(2(1(4(4(2(0(x1)))))))))))))))))))) 0(2(5(1(5(5(2(1(4(3(3(4(5(4(5(3(2(4(0(2(x1)))))))))))))))))))) -> 2(5(1(0(2(0(3(0(1(2(1(4(4(2(3(4(2(0(2(2(x1)))))))))))))))))))) 0(2(5(4(1(1(5(5(2(1(3(1(1(5(4(1(1(3(1(3(x1)))))))))))))))))))) -> 3(1(0(4(1(4(5(4(3(1(3(0(3(2(5(1(3(1(4(4(x1)))))))))))))))))))) 0(3(2(2(3(3(5(4(2(0(4(0(5(5(0(5(5(4(1(2(x1)))))))))))))))))))) -> 0(5(4(5(4(4(4(3(3(1(2(1(4(1(5(2(2(0(2(5(x1)))))))))))))))))))) 0(3(4(4(3(4(1(0(2(1(3(3(2(4(5(1(2(2(0(2(x1)))))))))))))))))))) -> 1(0(3(0(4(2(3(4(1(0(3(2(1(5(4(1(4(5(4(5(x1)))))))))))))))))))) 0(3(5(1(2(2(4(5(2(4(4(3(2(4(3(1(4(5(0(5(x1)))))))))))))))))))) -> 1(4(5(1(0(2(1(4(4(3(0(2(2(1(4(5(5(3(0(2(x1)))))))))))))))))))) 0(4(1(0(1(1(3(1(5(2(0(1(3(1(0(2(0(0(0(3(x1)))))))))))))))))))) -> 3(1(4(0(1(0(1(1(2(0(0(4(3(4(0(3(2(1(1(3(x1)))))))))))))))))))) 0(4(1(5(4(1(3(0(2(3(5(0(2(0(0(5(1(5(1(3(x1)))))))))))))))))))) -> 0(5(0(3(3(0(4(0(4(5(5(5(0(2(1(0(0(4(0(0(x1)))))))))))))))))))) 0(4(2(1(1(0(4(4(1(0(1(2(5(5(4(4(0(2(0(1(x1)))))))))))))))))))) -> 1(2(0(1(4(0(5(0(2(0(3(1(4(0(4(1(1(4(3(1(x1)))))))))))))))))))) 0(5(0(4(4(4(3(5(1(4(5(4(1(5(0(3(0(1(3(1(x1)))))))))))))))))))) -> 0(4(0(0(1(1(0(1(4(5(5(0(5(0(0(3(4(0(0(2(x1)))))))))))))))))))) 0(5(1(4(1(0(4(1(0(0(0(3(2(2(2(4(4(5(2(2(x1)))))))))))))))))))) -> 0(0(1(4(0(3(0(0(2(4(4(1(3(0(5(5(0(2(4(3(x1)))))))))))))))))))) 0(5(1(5(3(0(2(4(4(3(4(0(4(1(0(5(1(0(0(4(x1)))))))))))))))))))) -> 0(5(1(4(1(3(0(5(2(4(2(0(1(1(0(4(0(2(2(4(x1)))))))))))))))))))) 0(5(4(0(3(2(4(2(5(2(4(0(5(3(5(4(0(1(0(3(x1)))))))))))))))))))) -> 1(4(1(2(5(4(2(0(0(0(3(1(1(4(4(4(4(0(0(4(x1)))))))))))))))))))) 1(0(2(3(3(0(4(0(5(0(4(4(3(3(0(3(1(3(2(4(x1)))))))))))))))))))) -> 4(0(5(2(5(0(2(1(2(1(4(4(1(0(5(3(4(0(5(4(x1)))))))))))))))))))) 1(1(0(5(4(5(3(3(3(0(1(2(1(2(5(4(1(2(1(3(x1)))))))))))))))))))) -> 4(4(1(5(0(1(3(1(4(0(4(4(3(0(0(2(2(0(3(4(x1)))))))))))))))))))) 1(1(5(0(3(3(2(0(4(3(1(1(5(1(1(3(4(4(3(5(x1)))))))))))))))))))) -> 5(4(2(2(0(3(0(2(0(5(0(0(4(0(5(1(0(5(5(4(x1)))))))))))))))))))) 1(2(1(1(3(4(2(3(3(2(3(4(4(1(3(3(4(4(2(1(x1)))))))))))))))))))) -> 3(4(4(2(4(1(2(0(3(1(4(4(2(5(0(2(0(0(5(5(x1)))))))))))))))))))) 1(2(2(2(1(5(0(4(3(4(0(2(0(5(5(3(1(0(3(3(x1)))))))))))))))))))) -> 0(1(1(4(1(3(2(5(3(1(2(5(5(0(2(0(3(4(3(2(x1)))))))))))))))))))) 1(2(4(1(0(3(0(3(4(0(3(1(1(2(0(5(1(1(2(5(x1)))))))))))))))))))) -> 4(1(4(1(4(0(1(2(4(2(4(3(1(3(2(4(5(5(0(5(x1)))))))))))))))))))) 1(3(0(3(2(4(2(1(2(3(2(2(3(0(1(2(5(1(5(5(x1)))))))))))))))))))) -> 2(5(0(1(1(4(5(0(1(0(2(1(3(2(4(2(0(3(4(2(x1)))))))))))))))))))) 1(3(2(5(0(5(3(4(5(1(0(4(1(2(5(5(3(3(4(5(x1)))))))))))))))))))) -> 1(0(0(2(4(0(3(1(1(0(4(3(2(0(2(2(1(2(4(3(x1)))))))))))))))))))) 1(3(2(5(5(1(3(3(0(4(4(0(3(3(2(1(2(4(2(5(x1)))))))))))))))))))) -> 1(5(2(2(1(5(0(4(1(1(4(4(5(3(4(4(2(1(0(1(x1)))))))))))))))))))) 1(3(4(1(5(2(4(5(3(0(1(5(4(3(4(2(1(0(4(3(x1)))))))))))))))))))) -> 0(1(0(4(2(0(3(4(0(3(4(2(4(2(4(4(2(5(3(2(x1)))))))))))))))))))) 1(3(5(4(1(3(1(4(4(2(5(5(4(3(4(4(4(3(2(3(x1)))))))))))))))))))) -> 4(2(0(3(4(0(5(5(3(4(0(5(3(4(5(1(0(5(1(4(x1)))))))))))))))))))) 1(4(2(3(3(3(1(4(5(0(0(5(4(5(4(0(5(0(2(5(x1)))))))))))))))))))) -> 4(1(4(1(3(4(3(5(5(0(1(4(1(2(1(4(2(0(1(1(x1)))))))))))))))))))) 1(4(3(3(4(4(5(0(3(1(4(5(4(3(5(0(5(3(0(0(x1)))))))))))))))))))) -> 3(1(5(0(4(0(4(1(1(0(1(4(4(4(2(5(1(1(3(2(x1)))))))))))))))))))) 1(4(3(4(4(0(4(0(3(1(1(5(0(4(2(3(3(1(1(1(x1)))))))))))))))))))) -> 1(0(5(2(0(1(0(1(2(4(2(0(4(5(0(1(1(4(5(1(x1))))))))))))))))))))
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