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Derivational Complexity: TRS pair #487103668
details
property
value
status
complete
benchmark
262998.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.48 seconds
cpu usage
1150.44
user time
1146.8
system time
3.64188
max virtual memory
1.882582E7
max residence set size
5966364.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 35 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) RcToIrcProof [BOTH BOUNDS(ID, ID), 5397 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 46 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 14 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 384 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 85 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 81 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 9 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 14 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 4731 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 28.8 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9172 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9198 ms] (50) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(0(1(1(0(1(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(1(1(0(1(1(0(1(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(1(1(0(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(1(1(0(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(1(0(1(1(0(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(0(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(0(1(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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-> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(1(1(0(0(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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-> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(1(1(0(0(0(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(1(0(1(1(0(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(0(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
popout
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return to Derivational Complexity: TRS