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Derivational Complexity: TRS pair #487102792
details
property
value
status
complete
benchmark
140287.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)
296.181 seconds
cpu usage
971.106
user time
963.282
system time
7.82336
max virtual memory
1.8751628E7
max residence set size
1.5222956E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 64 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) RcToIrcProof [BOTH BOUNDS(ID, ID), 1416 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 38 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 12 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1570 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 160 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 109 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 7 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 25 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1065 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 14 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 1 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 7521 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2239 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2166 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2182 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2166 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5766 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(3(2(0(2(2(0(0(3(2(1(2(2(2(0(x1)))))))))))))))))) -> 0(0(3(2(0(2(3(1(0(2(2(2(0(0(0(2(2(0(x1)))))))))))))))))) 0(0(2(1(1(0(3(3(1(1(0(2(0(3(1(0(1(0(x1)))))))))))))))))) -> 0(2(1(0(1(1(3(3(0(0(1(0(1(3(2(1(0(0(x1)))))))))))))))))) 0(0(2(1(2(0(3(3(1(3(1(2(0(0(0(1(0(1(x1)))))))))))))))))) -> 0(0(1(0(3(0(2(2(1(1(3(3(2(0(1(0(0(1(x1)))))))))))))))))) 0(0(2(2(2(3(2(1(3(0(3(1(1(0(0(3(1(0(x1)))))))))))))))))) -> 0(1(2(1(2(3(0(0(0(0(3(1(3(1(2(2(3(0(x1)))))))))))))))))) 0(0(3(0(3(2(0(0(1(1(2(2(2(2(3(0(2(0(x1)))))))))))))))))) -> 0(2(1(0(2(1(3(0(3(0(0(0(2(2(3(2(2(0(x1)))))))))))))))))) 0(0(3(1(0(2(0(1(2(3(2(1(0(3(2(1(1(3(x1)))))))))))))))))) -> 1(3(2(0(2(3(2(0(1(1(0(0(0(1(1(3(3(2(x1)))))))))))))))))) 0(0(3(3(3(1(0(0(3(1(3(0(1(2(2(0(0(3(x1)))))))))))))))))) -> 0(0(1(2(3(1(3(0(0(0(2(1(3(3(3(0(0(3(x1)))))))))))))))))) 0(1(0(2(1(2(0(1(0(1(0(0(3(2(0(3(2(0(x1)))))))))))))))))) -> 0(1(0(2(1(0(3(2(0(0(1(0(2(3(2(0(1(0(x1)))))))))))))))))) 0(1(1(0(2(0(3(2(0(3(0(1(2(2(2(1(0(0(x1)))))))))))))))))) -> 0(0(0(1(2(2(3(0(2(1(1(3(0(2(0(1(2(0(x1)))))))))))))))))) 0(1(2(2(1(1(1(0(1(0(2(1(1(0(0(3(1(2(x1)))))))))))))))))) -> 0(2(0(0(1(0(1(1(2(0(1(1(2(1(1(1(3(2(x1)))))))))))))))))) 0(2(0(1(0(3(3(3(1(1(1(1(0(3(0(3(3(0(x1)))))))))))))))))) -> 1(3(0(3(3(3(0(0(0(1(1(3(0(1(3(2(1(0(x1)))))))))))))))))) 0(2(1(0(3(3(1(0(3(0(3(2(1(1(1(3(0(2(x1)))))))))))))))))) -> 0(1(0(3(0(1(3(2(1(0(0(2(3(2(3(1(3(1(x1)))))))))))))))))) 0(2(1(0(3(3(1(2(0(3(3(1(0(2(1(2(2(2(x1)))))))))))))))))) -> 0(2(2(3(1(0(1(3(1(3(0(2(0(2(2(2(1(3(x1)))))))))))))))))) 0(2(1(1(0(0(3(1(1(2(2(3(1(1(2(0(2(0(x1)))))))))))))))))) -> 0(1(0(2(2(1(2(1(1(1(3(0(2(3(0(0(1(2(x1)))))))))))))))))) 0(3(0(3(2(0(3(3(1(1(0(3(3(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(0(3(0(3(1(3(3(3(0(1(3(0(2(1(3(0(x1)))))))))))))))))) 0(3(2(2(2(0(3(2(2(0(3(2(0(3(3(1(0(3(x1)))))))))))))))))) -> 3(0(0(2(3(0(2(2(3(2(3(3(1(0(2(2(0(3(x1)))))))))))))))))) 0(3(2(3(0(0(3(2(1(0(3(2(2(1(0(3(1(2(x1)))))))))))))))))) -> 0(3(3(3(1(2(0(3(1(2(0(2(3(2(0(2(1(0(x1)))))))))))))))))) 0(3(2(3(2(0(3(3(3(3(3(3(1(2(1(0(2(0(x1)))))))))))))))))) -> 3(3(0(2(3(3(2(2(0(3(0(1(1(3(3(3(2(0(x1)))))))))))))))))) 0(3(3(0(1(2(2(1(3(0(1(0(3(3(3(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(3(3(0(3(3(2(2(1(1(0(3(1(x1)))))))))))))))))) 1(0(1(1(0(0(1(3(0(0(3(1(2(3(1(1(1(3(x1)))))))))))))))))) -> 1(2(3(0(1(3(0(1(0(1(1(0(0(1(1(3(1(3(x1)))))))))))))))))) 1(0(1(3(0(2(0(0(3(0(3(1(0(3(2(1(3(0(x1)))))))))))))))))) -> 1(0(1(3(2(0(0(0(2(3(3(0(0(0(1(3(3(1(x1)))))))))))))))))) 1(0(2(0(2(2(1(1(2(0(3(3(3(2(1(0(3(0(x1)))))))))))))))))) -> 1(1(0(1(3(2(3(3(1(0(2(2(0(2(3(0(2(0(x1)))))))))))))))))) 1(0(2(2(1(0(3(2(2(1(0(3(1(1(2(1(1(1(x1)))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(1(1(1(3(2(1(3(1(1(x1)))))))))))))))))) 1(0(2(3(0(1(1(1(1(1(1(2(3(1(0(3(2(1(x1)))))))))))))))))) -> 1(0(0(1(0(1(1(3(1(1(2(1(3(2(3(1(2(1(x1)))))))))))))))))) 1(0(2(3(1(0(0(3(1(2(0(3(3(1(2(3(2(1(x1)))))))))))))))))) -> 2(2(3(0(2(0(1(3(0(1(0(1(1(3(2(3(3(1(x1))))))))))))))))))
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