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Derivational Complexity: TRS Innermost pair #487107144
details
property
value
status
complete
benchmark
138142.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)
296.091 seconds
cpu usage
856.433
user time
848.973
system time
7.45917
max virtual memory
1.8810344E7
max residence set size
1.4724164E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 40 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 0 ms] (10) typed CpxTrs (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (12) TRS for Loop Detection (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), 39 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), 1859 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 60 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 67 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), 2131 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 54 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), 10.2 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2864 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2741 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2713 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2760 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(3(0(4(3(1(4(5(2(0(x1)))))))))))) -> 1(0(2(3(5(5(1(0(3(2(2(3(3(4(2(4(x1)))))))))))))))) 0(0(0(3(1(5(0(5(1(0(3(1(x1)))))))))))) -> 3(3(1(2(5(5(1(2(4(4(4(1(2(3(3(x1))))))))))))))) 0(0(1(1(4(3(4(0(5(1(4(3(x1)))))))))))) -> 3(4(1(1(2(5(5(2(2(2(2(3(5(0(4(2(x1)))))))))))))))) 0(0(1(3(4(3(4(4(4(0(3(0(x1)))))))))))) -> 2(5(5(0(2(5(2(5(4(4(2(1(1(2(4(3(5(1(x1)))))))))))))))))) 0(0(2(1(0(3(0(0(1(0(1(0(x1)))))))))))) -> 2(1(2(4(3(4(2(5(5(3(5(1(0(0(3(x1))))))))))))))) 0(0(4(3(0(0(1(4(0(1(3(5(x1)))))))))))) -> 5(1(5(1(0(2(2(2(3(3(4(5(3(4(2(2(2(0(x1)))))))))))))))))) 0(0(5(4(0(0(3(1(3(0(1(5(x1)))))))))))) -> 3(1(0(5(5(5(5(4(1(1(2(2(2(4(5(2(1(2(x1)))))))))))))))))) 0(0(5(4(5(0(5(0(0(3(0(3(x1)))))))))))) -> 2(5(5(3(3(0(4(1(4(2(1(1(2(4(4(1(0(x1))))))))))))))))) 0(1(0(0(1(3(1(0(3(2(5(0(x1)))))))))))) -> 5(1(1(4(0(3(2(2(4(2(2(1(2(5(1(x1))))))))))))))) 0(1(0(0(1(4(4(4(4(2(1(0(x1)))))))))))) -> 5(5(2(4(1(5(3(1(2(2(2(4(2(3(2(1(3(4(x1)))))))))))))))))) 0(1(1(3(4(4(0(2(0(1(1(1(x1)))))))))))) -> 0(5(3(2(2(2(5(1(4(1(3(2(4(2(2(1(2(1(x1)))))))))))))))))) 0(1(4(5(0(0(5(1(3(0(4(5(x1)))))))))))) -> 2(3(3(1(2(5(4(1(2(5(3(4(1(2(5(5(3(5(x1)))))))))))))))))) 0(2(0(4(4(1(2(1(0(4(3(3(x1)))))))))))) -> 2(1(2(4(3(5(2(5(2(5(3(4(4(1(x1)))))))))))))) 0(2(4(3(4(1(2(0(1(4(4(5(x1)))))))))))) -> 4(2(5(1(2(1(2(3(0(2(2(2(2(2(3(3(x1)))))))))))))))) 0(3(0(4(4(0(0(4(4(0(1(3(x1)))))))))))) -> 5(2(1(2(4(2(2(4(0(4(3(1(0(2(3(2(5(3(x1)))))))))))))))))) 0(3(4(1(3(4(1(0(1(4(3(1(x1)))))))))))) -> 2(2(2(3(2(0(2(5(2(2(2(1(5(2(4(1(x1)))))))))))))))) 0(3(4(3(5(0(0(4(4(3(1(1(x1)))))))))))) -> 4(2(1(1(2(2(5(1(2(0(4(5(4(2(1(2(5(x1))))))))))))))))) 0(3(5(4(0(1(1(4(0(5(5(0(x1)))))))))))) -> 3(2(4(1(0(5(1(1(2(3(5(3(2(1(2(2(x1)))))))))))))))) 0(4(0(3(1(4(0(4(1(4(5(5(x1)))))))))))) -> 2(5(1(2(2(4(2(5(2(5(4(1(0(4(x1)))))))))))))) 0(4(3(1(3(0(4(5(1(5(0(0(x1)))))))))))) -> 3(5(1(2(1(3(2(2(2(2(0(3(2(2(2(2(4(5(x1)))))))))))))))))) 0(4(3(5(3(1(4(4(0(0(0(4(x1)))))))))))) -> 5(2(3(3(2(4(3(5(2(3(4(2(2(3(3(2(0(x1))))))))))))))))) 0(4(5(0(0(2(0(3(3(5(5(5(x1)))))))))))) -> 2(4(2(2(2(5(1(0(2(4(4(2(1(2(2(x1))))))))))))))) 0(5(0(4(1(0(1(0(5(4(0(5(x1)))))))))))) -> 5(3(1(5(3(2(5(3(1(0(2(3(5(2(0(4(x1)))))))))))))))) 0(5(1(5(0(0(5(4(5(0(4(1(x1)))))))))))) -> 5(5(2(4(2(5(5(0(4(0(1(1(2(5(5(5(5(x1))))))))))))))))) 0(5(3(1(1(1(4(4(3(0(1(4(x1)))))))))))) -> 2(0(2(4(5(5(2(2(3(3(5(0(5(2(3(2(x1)))))))))))))))) 0(5(3(1(2(5(1(3(4(3(5(0(x1)))))))))))) -> 5(2(2(5(2(0(5(5(2(5(5(5(3(5(4(2(x1)))))))))))))))) 0(5(4(2(1(0(4(3(0(2(3(3(x1)))))))))))) -> 3(3(3(2(3(2(0(5(4(2(3(4(1(2(3(x1))))))))))))))) 0(5(4(5(0(3(3(0(4(0(5(4(x1)))))))))))) -> 5(4(2(5(4(1(2(1(3(3(4(2(2(2(1(2(5(0(x1)))))))))))))))))) 1(0(0(0(1(0(5(0(1(1(3(0(x1)))))))))))) -> 3(5(5(2(1(2(5(5(5(0(2(3(3(1(0(2(x1))))))))))))))))
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return to Derivational Complexity: TRS Innermost