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Derivational Complexity: TRS Innermost pair #487106878
details
property
value
status
complete
benchmark
132969.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
298.347 seconds
cpu usage
592.841
user time
585.119
system time
7.72197
max virtual memory
1.8752528E7
max residence set size
1.5053312E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 157 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), 3 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), 49 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), 2062 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 158 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 101 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 35 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 1834 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 115 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 9 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 9422 ms] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2848 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2741 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(1(2(2(3(5(4(2(2(3(4(1(x1)))))))))))) -> 0(3(2(5(0(0(1(0(4(2(1(0(4(1(0(x1))))))))))))))) 0(2(2(4(2(4(3(5(3(3(3(4(x1)))))))))))) -> 4(5(1(4(0(1(1(0(0(2(5(2(5(4(3(2(1(x1))))))))))))))))) 0(2(3(4(4(4(0(2(0(2(4(0(x1)))))))))))) -> 4(1(1(4(0(0(2(0(5(2(4(1(1(3(5(x1))))))))))))))) 0(2(3(5(4(1(0(3(5(3(4(1(x1)))))))))))) -> 0(5(2(1(0(0(5(2(5(5(5(1(4(1(5(1(1(x1))))))))))))))))) 0(2(3(5(4(4(3(3(5(3(2(4(x1)))))))))))) -> 1(1(1(1(2(0(1(1(3(0(0(3(2(1(1(x1))))))))))))))) 0(3(2(2(5(3(4(5(3(0(2(2(x1)))))))))))) -> 1(1(1(5(3(0(5(2(1(1(0(2(3(2(4(x1))))))))))))))) 0(3(3(1(3(4(0(1(2(3(5(0(x1)))))))))))) -> 0(1(1(0(4(1(4(5(2(3(5(1(1(2(0(0(x1)))))))))))))))) 0(3(5(5(2(2(1(2(0(3(1(0(x1)))))))))))) -> 4(1(5(0(2(0(0(1(1(5(1(3(3(1(0(5(x1)))))))))))))))) 0(5(2(2(1(0(3(5(4(2(0(4(x1)))))))))))) -> 1(1(5(2(2(0(0(3(4(1(1(5(4(1(x1)))))))))))))) 1(2(0(0(1(5(2(3(4(4(5(2(x1)))))))))))) -> 4(2(1(5(2(5(0(0(4(1(0(0(2(0(x1)))))))))))))) 1(2(0(0(3(2(5(4(3(3(3(2(x1)))))))))))) -> 0(2(2(0(4(1(3(2(5(4(1(5(4(1(x1)))))))))))))) 1(2(2(2(2(2(2(5(3(4(3(3(x1)))))))))))) -> 5(0(4(1(4(2(1(1(1(1(5(3(1(5(4(5(1(2(x1)))))))))))))))))) 1(2(4(4(4(0(0(1(0(0(4(3(x1)))))))))))) -> 5(2(4(0(0(1(5(2(1(1(3(2(0(5(x1)))))))))))))) 1(2(5(0(3(3(0(3(3(0(2(3(x1)))))))))))) -> 1(5(0(2(4(5(1(1(3(0(1(4(4(2(2(1(x1)))))))))))))))) 1(2(5(2(4(4(4(4(4(4(0(4(x1)))))))))))) -> 5(4(3(1(1(3(1(0(1(0(4(4(4(1(3(x1))))))))))))))) 1(3(4(3(4(4(5(3(5(3(4(4(x1)))))))))))) -> 0(3(0(1(3(2(0(0(1(4(2(5(0(0(0(3(5(0(x1)))))))))))))))))) 1(4(5(1(0(5(3(3(4(4(4(5(x1)))))))))))) -> 5(0(1(1(0(1(0(0(0(4(0(1(0(4(1(4(x1)))))))))))))))) 2(0(1(2(0(4(4(4(3(5(4(0(x1)))))))))))) -> 1(1(0(0(1(0(4(1(1(5(2(1(1(5(0(3(1(5(x1)))))))))))))))))) 2(0(2(0(0(1(4(4(3(4(0(2(x1)))))))))))) -> 2(4(1(1(1(4(2(5(1(3(2(5(4(5(5(x1))))))))))))))) 2(0(2(2(4(0(5(3(2(2(1(0(x1)))))))))))) -> 1(1(5(1(0(0(3(0(1(3(5(1(0(4(1(4(x1)))))))))))))))) 2(0(2(4(3(5(3(2(5(3(4(1(x1)))))))))))) -> 2(1(5(2(0(1(1(4(2(5(1(4(1(1(3(2(x1)))))))))))))))) 2(0(2(5(4(4(4(3(0(3(2(0(x1)))))))))))) -> 1(1(4(2(0(1(0(1(1(1(4(2(0(4(3(2(4(0(x1)))))))))))))))))) 2(0(3(0(4(3(4(3(0(3(5(0(x1)))))))))))) -> 2(0(1(4(5(4(4(2(0(4(1(0(2(4(0(1(1(5(x1)))))))))))))))))) 2(0(3(3(4(4(3(2(0(2(4(3(x1)))))))))))) -> 2(5(2(4(1(3(0(2(1(0(5(3(0(1(0(x1))))))))))))))) 2(0(5(2(2(4(4(0(3(4(4(3(x1)))))))))))) -> 1(0(1(1(1(5(4(5(0(1(5(5(3(1(5(4(0(5(x1)))))))))))))))))) 2(2(2(0(2(5(4(3(0(5(5(2(x1)))))))))))) -> 0(3(2(1(1(1(3(1(4(5(0(2(5(2(1(x1))))))))))))))) 2(2(2(1(2(4(3(3(4(3(0(4(x1)))))))))))) -> 0(2(1(5(4(2(1(1(0(1(3(1(3(0(0(1(2(1(x1)))))))))))))))))) 2(2(2(5(2(4(3(5(3(5(0(2(x1)))))))))))) -> 4(2(0(4(2(5(4(1(4(5(1(3(1(1(1(1(x1)))))))))))))))) 2(2(3(3(4(5(4(2(2(2(3(5(x1)))))))))))) -> 2(3(1(4(4(2(3(0(5(5(1(0(4(5(4(1(1(x1))))))))))))))))) 2(2(3(5(2(3(0(0(3(4(3(3(x1)))))))))))) -> 2(3(2(1(1(1(5(1(3(1(1(5(4(1(3(2(1(2(x1)))))))))))))))))) 2(2(3(5(5(3(4(4(4(4(5(2(x1)))))))))))) -> 2(0(0(2(5(1(0(0(4(1(3(2(1(0(3(1(0(x1))))))))))))))))) 2(2(4(3(0(1(2(4(4(4(4(4(x1)))))))))))) -> 4(3(1(4(4(1(2(1(1(1(4(2(5(5(2(x1))))))))))))))) 2(2(5(3(4(5(2(3(1(3(3(5(x1)))))))))))) -> 2(1(1(1(4(1(3(3(5(4(2(1(4(1(3(x1)))))))))))))))
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return to Derivational Complexity: TRS Innermost