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Derivational Complexity: TRS Innermost pair #487107042
details
property
value
status
complete
benchmark
139025.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.529 seconds
cpu usage
577.073
user time
570.054
system time
7.01896
max virtual memory
1.868578E7
max residence set size
1.4805528E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 38 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), 7 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), 28 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 9 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 1937 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 162 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 104 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 2 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 9 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 4168 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 335 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), 15.9 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4838 ms] (46) 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(0(1(0(1(2(2(2(0(3(2(0(2(3(0(3(x1)))))))))))))))))) -> 0(0(0(2(2(1(2(0(0(2(3(2(1(3(0(0(0(3(x1)))))))))))))))))) 0(0(0(0(3(2(0(3(2(3(2(2(1(0(0(0(1(3(x1)))))))))))))))))) -> 0(0(3(2(1(0(3(0(0(0(2(3(2(2(0(0(1(3(x1)))))))))))))))))) 0(0(0(1(2(0(1(3(2(1(2(2(0(0(3(2(1(1(x1)))))))))))))))))) -> 0(0(1(0(1(3(0(2(0(2(1(3(1(2(0(2(2(1(x1)))))))))))))))))) 0(0(0(3(0(1(3(2(3(2(3(0(2(2(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(2(0(0(3(0(2(3(0(0(2(3(0(2(1(0(x1)))))))))))))))))) 0(0(1(1(3(0(0(0(0(3(3(0(0(2(3(2(0(3(x1)))))))))))))))))) -> 0(0(0(0(2(2(0(3(3(1(3(1(0(3(0(0(0(3(x1)))))))))))))))))) 0(0(1(2(0(3(3(0(1(2(1(1(2(3(3(3(1(2(x1)))))))))))))))))) -> 0(1(0(2(3(1(3(1(3(2(1(1(3(0(2(3(0(2(x1)))))))))))))))))) 0(0(3(2(1(2(0(3(2(0(2(0(3(3(2(2(1(0(x1)))))))))))))))))) -> 0(0(0(2(2(2(3(2(3(3(2(0(1(3(0(2(1(0(x1)))))))))))))))))) 0(0(3(2(3(3(0(0(0(0(2(1(2(2(2(0(1(0(x1)))))))))))))))))) -> 0(0(2(0(2(2(2(1(0(3(0(3(2(0(3(0(1(0(x1)))))))))))))))))) 0(1(0(2(3(1(3(0(2(0(1(2(2(3(3(3(3(3(x1)))))))))))))))))) -> 3(2(0(3(1(1(0(3(1(2(3(0(2(2(0(3(3(3(x1)))))))))))))))))) 0(1(0(3(0(1(2(2(2(1(2(0(1(0(0(2(2(2(x1)))))))))))))))))) -> 0(2(2(2(1(0(0(1(2(1(0(2(0(0(2(2(3(1(x1)))))))))))))))))) 0(1(0(3(2(0(1(1(2(2(1(1(2(3(3(1(0(3(x1)))))))))))))))))) -> 3(2(1(1(1(0(2(0(3(0(2(1(3(1(1(2(0(3(x1)))))))))))))))))) 0(1(1(0(0(2(0(1(2(1(2(0(2(2(3(3(1(3(x1)))))))))))))))))) -> 0(1(0(2(3(1(0(2(1(2(0(0(2(3(2(1(1(3(x1)))))))))))))))))) 0(1(1(1(3(3(0(1(2(0(2(1(2(1(2(3(0(0(x1)))))))))))))))))) -> 3(1(1(0(2(0(1(2(2(1(0(3(1(3(1(0(2(0(x1)))))))))))))))))) 0(1(1(3(0(1(2(1(0(1(2(0(3(0(1(1(2(1(x1)))))))))))))))))) -> 0(1(1(0(1(0(1(0(1(1(2(1(2(3(0(3(2(1(x1)))))))))))))))))) 0(1(2(0(1(0(1(0(1(2(1(3(2(0(2(1(3(2(x1)))))))))))))))))) -> 0(1(2(1(2(3(2(0(3(0(1(1(1(0(2(0(2(1(x1)))))))))))))))))) 0(1(2(1(3(1(3(3(2(1(1(1(2(2(3(2(1(1(x1)))))))))))))))))) -> 0(2(3(3(1(1(2(2(1(2(1(1(3(2(1(3(1(1(x1)))))))))))))))))) 0(1(3(0(0(3(2(2(3(2(0(3(1(0(0(0(0(0(x1)))))))))))))))))) -> 0(2(0(3(1(0(2(1(3(3(0(3(0(0(2(0(0(0(x1)))))))))))))))))) 0(2(2(3(1(0(1(2(3(3(3(1(1(1(0(3(2(0(x1)))))))))))))))))) -> 3(1(2(0(0(3(1(0(3(2(2(3(1(3(1(1(2(0(x1)))))))))))))))))) 0(2(3(0(0(0(1(3(0(0(0(1(1(2(3(3(2(1(x1)))))))))))))))))) -> 3(2(3(0(0(3(0(2(1(0(0(3(1(2(1(0(0(1(x1)))))))))))))))))) 0(3(0(2(1(0(1(2(0(1(2(3(1(3(1(2(0(1(x1)))))))))))))))))) -> 0(0(1(0(3(1(3(2(1(3(0(1(1(2(2(0(2(1(x1)))))))))))))))))) 0(3(1(0(1(3(0(1(2(3(2(0(0(3(0(0(0(2(x1)))))))))))))))))) -> 0(3(3(0(0(1(0(0(2(0(3(1(2(0(0(3(1(2(x1)))))))))))))))))) 0(3(2(0(1(3(0(3(2(0(1(2(1(0(2(1(0(2(x1)))))))))))))))))) -> 0(0(2(0(1(2(3(2(3(2(0(0(1(1(3(1(0(2(x1)))))))))))))))))) 0(3(2(0(3(0(2(1(0(2(2(0(3(0(2(2(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(0(2(0(0(2(2(2(3(0(3(1(0(x1)))))))))))))))))) 0(3(3(1(2(3(2(2(0(3(3(1(1(0(1(2(3(0(x1)))))))))))))))))) -> 0(3(2(0(3(1(3(1(0(1(1(2(2(2(3(3(3(0(x1)))))))))))))))))) 1(0(0(0(0(3(3(3(3(0(3(3(0(0(1(0(1(1(x1)))))))))))))))))) -> 1(0(0(0(0(3(0(0(3(0(3(3(3(1(0(1(3(1(x1)))))))))))))))))) 1(0(0(1(0(1(0(0(2(3(2(3(1(0(3(2(2(0(x1)))))))))))))))))) -> 1(0(0(0(2(2(2(2(3(1(0(1(3(0(0(3(1(0(x1)))))))))))))))))) 1(0(1(0(1(1(1(3(3(1(2(3(3(1(3(0(1(1(x1)))))))))))))))))) -> 1(1(1(1(0(1(3(0(2(3(1(3(3(0(3(1(1(1(x1)))))))))))))))))) 1(0(2(1(2(0(1(1(0(1(1(3(0(1(2(1(3(1(x1)))))))))))))))))) -> 1(1(0(2(3(1(1(0(2(1(0(1(2(1(0(3(1(1(x1)))))))))))))))))) 1(1(0(1(2(1(0(1(1(3(1(3(3(0(1(3(1(1(x1)))))))))))))))))) -> 1(3(1(2(3(0(1(1(1(0(3(0(3(1(1(1(1(1(x1)))))))))))))))))) 1(1(0(1(2(2(3(1(2(1(3(3(3(0(0(1(3(0(x1)))))))))))))))))) -> 1(0(0(3(2(2(3(3(3(1(3(1(1(1(0(2(1(0(x1)))))))))))))))))) 1(1(1(1(2(3(2(2(0(2(2(0(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(1(1(1(2(1(0(3(2(3(1(2(0(2(1(0(2(1(x1)))))))))))))))))) 1(1(1(2(2(3(1(3(0(1(3(0(1(3(1(3(1(2(x1)))))))))))))))))) -> 1(1(1(1(3(1(1(0(0(3(2(3(3(1(2(3(1(2(x1)))))))))))))))))) 1(1(2(3(2(1(3(1(2(1(2(0(3(0(0(1(2(2(x1)))))))))))))))))) -> 1(1(0(2(2(2(0(1(0(3(2(3(1(2(2(1(3(1(x1)))))))))))))))))) 1(2(1(2(1(2(0(1(2(0(1(3(2(0(0(1(2(0(x1)))))))))))))))))) -> 1(2(1(1(0(0(0(3(2(1(2(2(2(1(0(1(2(0(x1)))))))))))))))))) 1(2(1(2(2(0(1(3(2(2(1(1(3(1(3(0(1(2(x1)))))))))))))))))) -> 1(3(1(1(0(2(3(1(2(1(2(2(3(2(1(0(2(1(x1))))))))))))))))))
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return to Derivational Complexity: TRS Innermost