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Derivational Complexity: TRS Innermost pair #487106952
details
property
value
status
complete
benchmark
132920.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.508 seconds
cpu usage
857.625
user time
850.237
system time
7.38714
max virtual memory
1.8753064E7
max residence set size
1.5207688E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 35 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), 41 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 1724 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 36 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 25 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 24 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 3629 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 395 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), 16.3 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4677 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4713 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4672 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(1(2(2(0(1(2(1(3(1(3(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(1(0(1(0(0(3(1(3(1(2(2(1(x1)))))))))))))))))) 0(0(1(0(0(2(1(0(1(1(3(2(2(0(1(3(3(0(x1)))))))))))))))))) -> 0(0(2(2(0(0(1(1(1(3(1(0(0(3(1(2(3(0(x1)))))))))))))))))) 0(0(1(0(3(3(3(3(3(0(3(0(0(1(0(1(1(0(x1)))))))))))))))))) -> 0(0(3(3(0(0(3(0(3(0(0(1(1(1(3(1(3(0(x1)))))))))))))))))) 0(0(1(2(0(2(0(0(2(0(0(2(2(3(1(2(0(1(x1)))))))))))))))))) -> 0(3(1(0(0(0(0(2(0(2(2(2(0(2(1(2(0(1(x1)))))))))))))))))) 0(0(1(2(3(3(2(3(0(0(2(2(0(2(1(2(0(1(x1)))))))))))))))))) -> 0(0(2(3(1(1(2(2(0(3(3(1(2(2(0(0(0(2(x1)))))))))))))))))) 0(0(2(0(3(0(3(1(3(2(3(1(2(0(1(1(0(0(x1)))))))))))))))))) -> 0(3(2(2(1(1(0(1(3(0(3(1(3(2(0(0(0(0(x1)))))))))))))))))) 0(0(2(3(3(0(1(2(3(0(1(2(2(1(0(1(1(1(x1)))))))))))))))))) -> 0(0(0(2(2(1(1(2(1(0(3(3(3(2(1(0(1(1(x1)))))))))))))))))) 0(0(3(0(0(1(3(3(3(1(0(2(0(1(3(3(1(1(x1)))))))))))))))))) -> 0(3(0(1(1(1(0(3(1(3(0(3(0(1(2(0(3(3(x1)))))))))))))))))) 0(0(3(0(2(3(3(0(2(3(0(1(0(2(1(2(1(3(x1)))))))))))))))))) -> 0(3(2(1(0(3(0(2(2(3(2(1(0(0(3(3(0(1(x1)))))))))))))))))) 0(1(0(3(0(1(0(1(3(2(2(0(2(3(1(2(3(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(1(3(2(1(0(0(3(3(2(2(2(1(x1)))))))))))))))))) 0(1(0(3(1(2(2(0(0(2(2(0(2(3(2(1(2(0(x1)))))))))))))))))) -> 0(0(2(2(2(1(0(2(1(0(3(2(2(2(1(0(3(0(x1)))))))))))))))))) 0(1(1(0(0(2(3(1(0(1(0(2(2(3(3(1(3(3(x1)))))))))))))))))) -> 0(1(3(1(0(3(1(2(1(0(0(2(2(0(3(1(3(3(x1)))))))))))))))))) 0(1(1(1(0(1(3(0(2(3(2(3(0(1(0(0(1(1(x1)))))))))))))))))) -> 0(1(2(0(3(0(1(0(2(3(3(1(0(1(1(0(1(1(x1)))))))))))))))))) 0(1(1(3(1(1(2(1(3(1(3(0(2(0(2(3(2(1(x1)))))))))))))))))) -> 0(1(1(0(2(2(1(1(3(3(1(1(3(2(2(0(1(3(x1)))))))))))))))))) 0(1(2(1(3(3(3(0(2(3(2(1(0(3(0(3(2(1(x1)))))))))))))))))) -> 0(1(0(3(0(0(3(1(3(2(2(2(1(2(3(3(1(3(x1)))))))))))))))))) 0(1(2(2(1(1(3(1(3(2(1(0(3(2(0(1(3(3(x1)))))))))))))))))) -> 0(1(2(2(3(0(3(2(1(1(2(1(3(0(1(1(3(3(x1)))))))))))))))))) 0(1(2(3(0(3(1(1(2(0(3(2(1(2(3(3(2(1(x1)))))))))))))))))) -> 0(0(3(3(1(3(3(2(2(1(0(1(2(2(2(1(3(1(x1)))))))))))))))))) 0(1(3(1(0(2(1(2(0(3(3(2(3(2(3(2(3(2(x1)))))))))))))))))) -> 0(3(3(2(3(2(1(3(2(0(3(0(1(1(2(2(3(2(x1)))))))))))))))))) 0(1(3(2(0(0(0(1(1(3(3(3(0(1(3(1(0(2(x1)))))))))))))))))) -> 0(2(3(3(1(0(3(1(0(3(1(2(0(0(3(1(1(0(x1)))))))))))))))))) 0(1(3(2(3(1(0(2(0(1(3(2(0(3(1(2(3(3(x1)))))))))))))))))) -> 0(1(0(2(0(3(3(3(2(3(1(2(3(0(2(1(3(1(x1)))))))))))))))))) 0(1(3(3(3(3(3(1(0(2(2(3(2(3(0(1(2(1(x1)))))))))))))))))) -> 0(3(1(0(3(3(1(2(2(3(0(3(2(2(1(3(1(3(x1)))))))))))))))))) 0(2(0(1(0(3(2(1(3(2(0(3(0(1(3(0(0(2(x1)))))))))))))))))) -> 0(1(0(3(2(1(0(3(1(0(3(2(0(0(3(2(0(2(x1)))))))))))))))))) 0(2(3(2(0(0(2(3(0(2(0(2(2(1(2(2(0(2(x1)))))))))))))))))) -> 0(3(0(0(0(3(0(2(2(2(2(2(0(2(1(2(2(2(x1)))))))))))))))))) 0(3(0(3(0(0(2(3(3(3(2(0(1(1(0(3(2(0(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(0(3(1(3(3(2(1(2(2(0(0(x1)))))))))))))))))) 0(3(2(0(1(1(3(0(1(0(1(1(3(3(0(3(1(2(x1)))))))))))))))))) -> 0(3(2(1(3(0(3(0(1(0(1(1(3(1(0(3(1(2(x1)))))))))))))))))) 1(0(0(1(3(0(3(1(2(3(3(3(2(0(3(2(1(0(x1)))))))))))))))))) -> 1(0(2(2(2(3(3(3(1(3(3(0(0(1(1(0(3(0(x1)))))))))))))))))) 1(0(0(1(3(2(1(3(1(0(3(0(1(0(1(3(1(1(x1)))))))))))))))))) -> 1(0(0(0(3(2(0(1(3(1(3(1(1(0(1(3(1(1(x1)))))))))))))))))) 1(0(0(2(2(0(1(3(3(2(3(1(2(1(3(1(0(2(x1)))))))))))))))))) -> 1(0(3(2(1(3(0(1(1(0(0(3(2(2(1(3(2(2(x1)))))))))))))))))) 1(0(0(2(3(1(0(1(3(3(3(3(3(2(1(2(3(3(x1)))))))))))))))))) -> 1(3(0(3(2(3(3(3(0(3(2(2(1(0(1(3(1(3(x1)))))))))))))))))) 1(0(1(1(2(0(2(2(0(1(0(3(0(1(2(3(1(1(x1)))))))))))))))))) -> 1(0(0(0(1(0(2(2(2(2(1(3(0(1(1(1(1(3(x1)))))))))))))))))) 1(0(2(3(2(3(2(0(0(0(1(0(3(1(1(0(2(1(x1)))))))))))))))))) -> 1(0(0(3(0(1(0(1(0(0(3(1(2(1(2(2(2(3(x1))))))))))))))))))
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return to Derivational Complexity: TRS Innermost