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Derivational Complexity: TRS Innermost pair #487106720
details
property
value
status
complete
benchmark
127538.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.884 seconds
cpu usage
916.946
user time
908.982
system time
7.96355
max virtual memory
1.895002E7
max residence set size
1.4985528E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 158 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), 28 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), 23 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 6 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 1561 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 169 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 158 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 43 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 3744 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 354 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), 15.8 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4720 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4776 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4720 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4718 ms] (52) 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(3(3(1(3(1(1(2(2(3(2(0(1(2(x1)))))))))))))))))) -> 0(0(3(2(0(1(0(2(2(3(1(1(3(1(3(2(1(2(x1)))))))))))))))))) 0(0(1(1(2(0(1(0(3(1(2(1(1(3(0(0(0(2(x1)))))))))))))))))) -> 0(2(2(0(0(1(0(1(1(1(0(2(3(0(0(3(1(1(x1)))))))))))))))))) 0(0(1(1(3(1(2(0(3(3(1(0(0(2(0(0(1(3(x1)))))))))))))))))) -> 0(1(2(0(1(0(3(2(0(3(1(3(0(0(1(0(1(3(x1)))))))))))))))))) 0(0(1(3(0(1(3(2(3(1(3(1(1(2(0(1(1(3(x1)))))))))))))))))) -> 1(1(0(0(3(1(1(0(3(1(3(1(0(3(2(2(1(3(x1)))))))))))))))))) 0(0(3(1(2(0(0(0(1(2(3(3(0(3(1(3(3(0(x1)))))))))))))))))) -> 0(1(0(3(0(0(0(0(1(1(3(0(2(2(3(3(3(3(x1)))))))))))))))))) 0(1(2(0(0(0(2(3(0(2(1(0(3(1(3(0(3(1(x1)))))))))))))))))) -> 1(1(0(2(0(1(3(0(0(0(3(3(2(0(0(2(3(1(x1)))))))))))))))))) 0(1(2(0(0(1(2(0(3(1(3(0(1(0(1(2(1(3(x1)))))))))))))))))) -> 1(1(0(2(3(1(0(3(0(2(0(1(1(0(3(0(1(2(x1)))))))))))))))))) 0(1(2(1(2(0(2(0(3(0(1(2(3(0(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(1(0(0(1(0(0(3(3(2(0(2(2(2(1(3(x1)))))))))))))))))) 0(2(0(0(0(3(3(0(0(1(2(3(0(1(2(2(0(2(x1)))))))))))))))))) -> 0(1(0(2(0(0(0(0(1(0(0(3(2(2(3(2(3(2(x1)))))))))))))))))) 0(2(0(1(0(2(0(1(2(0(3(3(1(2(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(2(3(0(0(2(0(1(3(2(1(0(1(2(3(0(x1)))))))))))))))))) 0(2(0(2(0(1(2(1(2(3(0(0(1(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(2(3(3(1(0(2(2(2(2(0(1(0(1(3(0(3(x1)))))))))))))))))) 0(2(0(2(1(3(0(1(3(2(0(3(0(1(3(0(3(2(x1)))))))))))))))))) -> 1(3(0(3(3(3(0(1(0(1(0(2(0(3(2(2(0(2(x1)))))))))))))))))) 0(3(0(1(2(3(3(3(1(0(1(2(0(2(0(3(2(3(x1)))))))))))))))))) -> 0(2(0(2(1(0(3(3(2(1(1(0(3(0(3(3(2(3(x1)))))))))))))))))) 0(3(0(3(3(2(2(1(1(1(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 3(1(2(3(0(1(1(1(0(2(0(3(3(0(0(2(2(2(x1)))))))))))))))))) 0(3(1(2(1(2(3(0(0(1(2(0(1(1(0(1(3(0(x1)))))))))))))))))) -> 0(2(0(1(2(3(0(2(1(1(3(3(1(1(1(0(0(0(x1)))))))))))))))))) 0(3(1(3(1(3(1(0(0(3(0(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 0(0(2(3(3(3(0(0(3(1(3(3(2(1(1(0(3(1(x1)))))))))))))))))) 0(3(2(1(0(0(1(3(0(3(2(0(3(3(2(2(2(0(x1)))))))))))))))))) -> 0(2(3(2(0(0(3(0(1(1(2(0(2(3(2(3(0(3(x1)))))))))))))))))) 0(3(2(1(0(0(2(0(1(2(0(2(2(1(2(1(0(3(x1)))))))))))))))))) -> 1(1(0(0(0(2(0(0(2(2(2(2(3(2(3(0(1(1(x1)))))))))))))))))) 0(3(2(1(1(2(0(1(1(3(3(1(1(3(0(3(3(0(x1)))))))))))))))))) -> 2(3(3(3(0(1(1(1(1(0(3(2(1(3(0(1(3(0(x1)))))))))))))))))) 0(3(3(0(1(0(0(1(2(1(3(3(3(0(0(2(0(3(x1)))))))))))))))))) -> 0(3(0(3(3(1(3(0(0(1(0(2(3(1(0(2(0(3(x1)))))))))))))))))) 0(3(3(0(1(3(2(3(1(2(3(0(1(0(0(2(1(2(x1)))))))))))))))))) -> 1(0(2(3(0(2(0(0(1(1(0(1(2(3(3(3(2(3(x1)))))))))))))))))) 0(3(3(1(0(2(0(3(1(2(3(0(3(0(2(0(3(0(x1)))))))))))))))))) -> 0(3(3(0(3(0(0(0(1(0(3(3(3(2(1(0(2(2(x1)))))))))))))))))) 0(3(3(1(3(3(2(0(2(3(1(2(1(2(2(1(3(3(x1)))))))))))))))))) -> 3(2(2(3(3(3(1(2(3(2(0(0(1(1(2(1(3(3(x1)))))))))))))))))) 0(3(3(3(2(1(1(1(0(3(1(2(0(0(0(2(2(2(x1)))))))))))))))))) -> 0(2(2(3(0(1(1(1(0(2(3(2(1(0(0(3(3(2(x1)))))))))))))))))) 1(0(3(0(1(1(1(0(1(1(2(1(2(0(2(0(2(2(x1)))))))))))))))))) -> 0(3(2(1(0(1(0(2(2(2(1(1(0(1(0(2(1(1(x1)))))))))))))))))) 1(0(3(2(2(0(2(1(2(2(2(0(1(3(3(0(1(2(x1)))))))))))))))))) -> 0(1(1(0(0(2(2(3(1(2(1(2(0(2(3(2(3(2(x1)))))))))))))))))) 1(0(3(3(3(2(1(2(3(0(0(0(1(1(1(2(2(0(x1)))))))))))))))))) -> 1(1(1(0(2(3(1(3(0(2(3(1(0(0(2(2(0(3(x1)))))))))))))))))) 1(1(0(3(1(3(1(3(0(1(2(0(0(2(1(2(0(2(x1)))))))))))))))))) -> 1(3(1(1(1(1(0(2(2(0(1(0(3(0(2(0(2(3(x1)))))))))))))))))) 1(1(1(2(1(1(2(0(2(0(0(0(2(0(0(0(1(3(x1)))))))))))))))))) -> 1(1(1(0(2(0(0(2(2(0(1(3(0(1(0(0(1(2(x1))))))))))))))))))
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return to Derivational Complexity: TRS Innermost