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Derivational Complexity: TRS Innermost pair #487107098
details
property
value
status
complete
benchmark
139256.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.896 seconds
cpu usage
916.815
user time
909.873
system time
6.94163
max virtual memory
1.8685372E7
max residence set size
1.506572E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 30 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), 17 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), 1873 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 124 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), 22 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 3617 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 125 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 12 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 16.0 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4549 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4537 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4504 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4501 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(2(3(0(2(2(0(1(3(0(2(2(1(0(2(0(1(x1)))))))))))))))))) -> 0(0(0(2(1(2(3(2(1(3(2(0(1(2(0(0(0(2(x1)))))))))))))))))) 0(1(0(0(1(0(2(3(0(3(2(1(0(3(0(2(3(2(x1)))))))))))))))))) -> 0(3(2(1(0(3(0(2(0(0(1(3(2(0(0(2(1(3(x1)))))))))))))))))) 0(1(0(2(2(0(3(3(3(3(1(2(2(0(1(2(2(0(x1)))))))))))))))))) -> 0(2(2(2(3(2(1(3(3(0(0(0(1(1(3(2(2(0(x1)))))))))))))))))) 0(1(3(1(3(0(0(2(0(3(3(0(3(0(0(2(0(1(x1)))))))))))))))))) -> 0(3(1(3(0(2(3(0(0(0(1(2(0(0(3(3(0(1(x1)))))))))))))))))) 0(2(0(1(1(2(3(0(2(0(2(1(1(0(1(3(1(1(x1)))))))))))))))))) -> 0(3(2(2(3(0(1(1(0(2(0(0(2(1(1(1(1(1(x1)))))))))))))))))) 0(2(0(2(2(3(0(1(1(0(0(2(2(0(1(0(1(0(x1)))))))))))))))))) -> 0(0(0(2(1(1(2(2(2(1(2(0(0(0(0(0(3(1(x1)))))))))))))))))) 0(2(0(3(3(3(3(0(1(0(1(1(0(2(0(0(1(3(x1)))))))))))))))))) -> 0(3(0(1(2(1(2(0(0(1(3(3(3(0(1(0(0(3(x1)))))))))))))))))) 0(2(3(2(1(1(1(0(1(3(1(3(3(3(1(2(0(3(x1)))))))))))))))))) -> 0(3(1(1(3(3(2(1(1(2(0(0(1(1(2(3(3(3(x1)))))))))))))))))) 0(2(3(3(2(2(0(1(0(3(0(3(0(2(3(2(0(2(x1)))))))))))))))))) -> 0(3(2(1(0(0(3(3(2(2(2(0(2(0(3(0(3(2(x1)))))))))))))))))) 0(3(0(2(3(1(3(0(2(0(3(2(2(1(3(1(0(0(x1)))))))))))))))))) -> 0(2(1(2(1(3(3(2(0(0(1(2(3(0(0(0(3(3(x1)))))))))))))))))) 0(3(0(3(3(2(0(3(2(1(0(0(2(1(0(0(3(0(x1)))))))))))))))))) -> 0(1(0(3(2(0(0(0(2(3(0(0(0(1(3(3(2(3(x1)))))))))))))))))) 0(3(1(0(1(2(1(2(0(3(2(2(3(3(0(3(1(1(x1)))))))))))))))))) -> 0(3(3(3(2(1(1(1(1(2(3(2(0(0(1(3(0(2(x1)))))))))))))))))) 0(3(2(0(3(1(0(3(0(0(3(1(0(1(3(0(1(1(x1)))))))))))))))))) -> 0(0(0(3(1(2(0(3(1(1(3(0(0(0(3(3(1(1(x1)))))))))))))))))) 0(3(3(2(1(0(1(0(1(2(2(3(0(2(0(0(3(1(x1)))))))))))))))))) -> 0(2(1(3(0(0(1(2(3(3(0(3(1(2(0(0(2(1(x1)))))))))))))))))) 1(0(0(2(0(3(2(2(2(3(3(3(3(0(2(2(3(0(x1)))))))))))))))))) -> 3(3(3(2(0(0(2(2(0(0(3(3(2(2(0(2(1(3(x1)))))))))))))))))) 1(0(1(0(1(0(2(0(1(1(2(3(0(1(2(3(1(3(x1)))))))))))))))))) -> 1(1(3(1(2(0(3(2(0(0(2(1(0(1(1(0(1(3(x1)))))))))))))))))) 1(0(1(0(2(3(1(3(3(2(2(0(3(0(1(1(3(0(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(2(1(0(0(0(0(0(1(2(2(3(x1)))))))))))))))))) 1(0(2(1(0(3(1(0(1(0(1(3(0(3(3(3(0(2(x1)))))))))))))))))) -> 0(0(0(0(3(0(1(2(0(1(1(3(3(3(1(1(3(2(x1)))))))))))))))))) 1(0(2(1(3(2(1(0(1(0(3(0(2(3(1(1(2(0(x1)))))))))))))))))) -> 1(3(0(0(1(3(1(1(2(0(2(1(1(2(0(0(3(2(x1)))))))))))))))))) 1(0(2(2(2(0(3(0(1(0(1(3(1(1(1(3(1(2(x1)))))))))))))))))) -> 2(0(3(0(0(1(3(1(1(2(0(3(2(1(1(1(1(2(x1)))))))))))))))))) 1(1(0(1(0(1(0(3(1(2(1(0(2(0(2(1(0(0(x1)))))))))))))))))) -> 1(0(1(0(0(0(2(1(0(1(0(0(3(1(1(2(2(1(x1)))))))))))))))))) 1(1(0(2(0(1(3(0(3(2(3(0(1(2(3(1(1(3(x1)))))))))))))))))) -> 1(0(2(1(1(3(2(2(0(0(1(3(3(0(3(1(3(1(x1)))))))))))))))))) 1(1(0(2(1(1(1(0(2(3(2(2(0(3(1(3(0(1(x1)))))))))))))))))) -> 3(1(3(2(0(1(2(1(1(2(0(0(0(2(1(1(1(3(x1)))))))))))))))))) 1(1(2(2(2(0(3(0(0(1(2(2(2(3(1(0(1(0(x1)))))))))))))))))) -> 1(2(0(3(0(0(0(0(2(1(2(2(3(1(2(1(2(1(x1)))))))))))))))))) 1(1(3(0(1(3(0(1(0(0(1(3(0(0(2(0(3(3(x1)))))))))))))))))) -> 3(3(0(0(3(1(1(2(0(0(1(1(0(0(1(3(0(3(x1)))))))))))))))))) 1(1(3(1(3(1(3(1(2(2(3(0(1(0(0(2(0(1(x1)))))))))))))))))) -> 1(2(1(0(1(1(2(2(0(0(3(3(1(1(0(3(3(1(x1)))))))))))))))))) 1(1(3(3(2(1(3(1(3(0(1(2(2(1(3(0(2(2(x1)))))))))))))))))) -> 3(1(3(2(3(2(1(3(0(0(1(1(1(3(2(2(1(2(x1)))))))))))))))))) 1(2(0(1(2(0(1(0(1(2(2(0(1(3(1(1(0(1(x1)))))))))))))))))) -> 1(2(1(1(2(2(1(2(0(0(1(1(0(1(1(0(0(3(x1)))))))))))))))))) 1(2(1(2(3(0(1(2(1(3(2(2(3(1(2(0(2(2(x1)))))))))))))))))) -> 1(2(3(3(2(1(3(1(0(0(2(2(2(1(2(1(2(2(x1))))))))))))))))))
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return to Derivational Complexity: TRS Innermost