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Derivational Complexity: TRS Innermost pair #487106424
details
property
value
status
complete
benchmark
124269.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)
295.899 seconds
cpu usage
978.669
user time
970.312
system time
8.35746
max virtual memory
1.8753916E7
max residence set size
1.5416132E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 55 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), 16 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 7 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 2192 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 118 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 129 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 3 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 2056 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 13 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), 11.5 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3279 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3279 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3274 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3247 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(3(0(1(4(2(4(4(3(0(1(x1)))))))))))) -> 3(1(5(5(4(2(1(2(5(2(2(2(1(4(5(0(1(x1))))))))))))))))) 0(0(4(1(3(2(1(3(4(3(4(1(x1)))))))))))) -> 0(0(5(2(3(0(4(0(0(5(2(5(2(0(2(2(1(x1))))))))))))))))) 0(1(2(4(3(5(0(3(2(4(3(4(x1)))))))))))) -> 2(2(2(2(1(2(2(1(4(2(4(2(2(5(5(0(x1)))))))))))))))) 0(1(4(4(0(3(0(4(0(4(0(0(x1)))))))))))) -> 0(4(0(4(3(2(0(0(0(0(0(1(5(5(5(1(x1)))))))))))))))) 0(1(4(4(3(5(1(4(4(5(0(0(x1)))))))))))) -> 5(5(5(3(4(3(0(0(3(2(2(5(2(5(5(5(4(2(x1)))))))))))))))))) 0(2(0(4(4(0(3(3(5(4(4(4(x1)))))))))))) -> 5(4(3(5(5(2(5(1(1(5(2(4(0(2(x1)))))))))))))) 0(2(1(3(5(1(4(0(3(4(3(0(x1)))))))))))) -> 2(0(3(5(1(5(5(5(1(5(0(1(5(4(0(5(2(2(x1)))))))))))))))))) 0(2(2(2(5(2(4(4(5(4(0(0(x1)))))))))))) -> 5(5(5(0(1(5(5(3(2(5(0(5(2(4(x1)))))))))))))) 0(2(3(5(4(3(4(0(0(4(5(2(x1)))))))))))) -> 0(1(2(5(2(1(5(5(3(1(2(0(0(5(3(0(x1)))))))))))))))) 0(2(4(3(0(1(0(3(2(2(0(3(x1)))))))))))) -> 4(1(3(0(0(5(5(5(2(0(0(0(5(5(5(5(2(x1))))))))))))))))) 0(2(4(4(3(5(0(0(3(3(0(3(x1)))))))))))) -> 0(3(0(5(0(4(5(2(5(0(0(5(2(5(0(2(x1)))))))))))))))) 0(3(1(2(4(4(3(1(5(4(0(1(x1)))))))))))) -> 2(1(0(1(2(0(0(5(5(0(0(2(2(2(0(2(3(x1))))))))))))))))) 0(3(1(3(3(1(2(4(1(4(3(5(x1)))))))))))) -> 2(1(1(5(0(2(5(5(5(5(0(1(3(1(1(5(5(1(x1)))))))))))))))))) 0(3(1(5(3(2(1(3(2(1(3(3(x1)))))))))))) -> 1(2(2(2(5(1(0(3(2(2(0(2(0(2(x1)))))))))))))) 0(3(5(1(1(1(4(5(3(3(1(1(x1)))))))))))) -> 2(5(5(1(5(5(2(5(1(4(0(5(1(5(0(3(5(x1))))))))))))))))) 0(4(0(2(0(3(4(0(3(0(4(1(x1)))))))))))) -> 0(5(2(1(0(4(2(2(0(1(0(5(1(5(0(2(x1)))))))))))))))) 0(4(0(2(3(2(0(1(1(0(5(4(x1)))))))))))) -> 2(4(5(2(1(2(0(1(2(0(0(2(0(4(x1)))))))))))))) 0(4(0(3(1(3(0(3(3(4(3(4(x1)))))))))))) -> 0(2(5(4(1(5(0(1(5(5(3(1(2(3(x1)))))))))))))) 0(4(1(0(3(5(3(0(5(1(1(4(x1)))))))))))) -> 2(1(0(1(1(2(2(2(0(5(5(5(1(2(5(2(0(x1))))))))))))))))) 0(4(1(2(4(4(0(1(4(5(1(4(x1)))))))))))) -> 0(5(5(5(2(0(4(3(2(5(5(4(1(2(0(0(1(x1))))))))))))))))) 0(4(1(5(5(4(1(3(5(1(1(3(x1)))))))))))) -> 3(3(5(5(5(2(1(0(2(2(0(2(0(5(2(x1))))))))))))))) 0(4(4(3(0(1(3(5(4(4(3(1(x1)))))))))))) -> 5(5(2(2(0(3(0(5(5(2(1(4(2(1(0(1(1(2(x1)))))))))))))))))) 0(4(4(5(4(5(4(4(2(3(3(4(x1)))))))))))) -> 5(1(2(5(0(3(5(0(3(1(5(1(5(2(x1)))))))))))))) 0(4(5(3(0(1(2(3(2(1(5(4(x1)))))))))))) -> 4(5(2(5(5(5(2(3(1(5(0(5(1(0(3(5(x1)))))))))))))))) 0(5(0(2(4(2(2(4(5(3(4(4(x1)))))))))))) -> 0(5(2(1(2(5(2(0(5(5(1(2(2(2(2(x1))))))))))))))) 0(5(1(4(4(4(5(2(3(4(5(3(x1)))))))))))) -> 1(5(5(4(3(4(2(5(2(5(4(5(5(2(5(5(x1)))))))))))))))) 1(1(1(4(1(3(3(3(2(1(5(1(x1)))))))))))) -> 3(5(2(2(5(0(5(5(5(5(1(1(4(4(x1)))))))))))))) 1(1(3(3(4(4(3(3(3(4(3(3(x1)))))))))))) -> 0(0(4(5(5(1(4(1(2(3(0(0(5(5(x1)))))))))))))) 1(1(3(4(4(3(3(4(1(1(0(5(x1)))))))))))) -> 3(5(0(2(5(3(5(2(5(5(2(0(3(5(5(x1)))))))))))))))
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return to Derivational Complexity: TRS Innermost