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Derivational Complexity: TRS pair #487103586
details
property
value
status
complete
benchmark
139174.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.984 seconds
cpu usage
982.525
user time
974.332
system time
8.19327
max virtual memory
1.8751364E7
max residence set size
1.5012692E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 40 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), 25 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), 1303 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 29 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1631 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 69 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 92 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 14 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1142 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 12 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), 7858 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2322 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2354 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2390 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2387 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5772 ms] (56) 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(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1)))))))))))))))))) 0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1)))))))))))))))))) 0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1)))))))))))))))))) 0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1)))))))))))))))))) 0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1)))))))))))))))))) 0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1)))))))))))))))))) 0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1)))))))))))))))))) 0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1)))))))))))))))))) 0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1)))))))))))))))))) 0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1)))))))))))))))))) 0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1)))))))))))))))))) 1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1)))))))))))))))))) 1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1)))))))))))))))))) 1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1)))))))))))))))))) 1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1)))))))))))))))))) 1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1)))))))))))))))))) 1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1)))))))))))))))))) 1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1)))))))))))))))))) 1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1)))))))))))))))))) 1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1)))))))))))))))))) 1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1)))))))))))))))))) 1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1)))))))))))))))))) 1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1)))))))))))))))))) 1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1)))))))))))))))))) 1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1))))))))))))))))))
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