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Derivational Complexity: TRS pair #487102694
details
property
value
status
complete
benchmark
140318.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.948 seconds
cpu usage
913.427
user time
905.3
system time
8.1274
max virtual memory
1.8883736E7
max residence set size
1.5310264E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 103 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 19 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), 1314 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 45 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), 1547 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 125 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 77 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1060 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), 7439 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2223 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2204 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2210 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2214 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5931 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6359 ms] (58) 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(0(3(1(3(1(2(2(1(3(1(0(0(2(x1)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(x1)))))))))))))))))) 0(0(0(1(0(0(0(2(1(1(2(0(1(0(1(2(0(0(x1)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x1)))))))))))))))))) 0(0(0(3(0(3(0(1(2(1(0(0(0(1(2(3(3(3(x1)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(x1)))))))))))))))))) 0(0(1(0(1(1(1(0(2(2(3(3(1(3(0(2(1(0(x1)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(x1)))))))))))))))))) 0(0(1(1(1(3(2(2(2(1(3(2(3(0(0(0(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(x1)))))))))))))))))) 0(0(1(2(0(0(3(3(2(1(3(3(3(1(1(1(1(2(x1)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(x1)))))))))))))))))) 0(0(1(2(0(1(0(1(1(0(1(2(2(3(3(1(2(2(x1)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(x1)))))))))))))))))) 0(0(1(3(1(0(3(1(1(3(1(2(3(1(2(2(1(1(x1)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(x1)))))))))))))))))) 0(0(1(3(2(1(0(0(3(2(3(1(3(0(0(2(0(0(x1)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(x1)))))))))))))))))) 0(0(2(2(1(1(3(0(2(2(2(2(0(3(3(0(1(0(x1)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(x1)))))))))))))))))) 0(0(2(3(3(3(0(0(1(1(2(2(0(3(2(3(3(0(x1)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(x1)))))))))))))))))) 0(0(3(0(2(0(1(1(3(1(0(2(0(0(0(2(1(1(x1)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(x1)))))))))))))))))) 0(0(3(0(3(1(2(0(3(0(3(1(0(0(1(0(1(3(x1)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(x1)))))))))))))))))) 0(0(3(0(3(3(3(1(1(1(3(1(1(2(1(2(3(0(x1)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(x1)))))))))))))))))) 0(0(3(2(1(3(1(3(3(0(1(2(0(0(0(2(0(2(x1)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(x1)))))))))))))))))) 0(0(3(3(1(2(3(0(2(3(3(3(0(0(3(2(2(3(x1)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(x1)))))))))))))))))) 0(1(2(3(0(2(1(2(3(0(0(3(0(1(0(1(3(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(x1)))))))))))))))))) 0(1(3(0(1(0(1(1(2(2(2(3(3(0(3(0(0(0(x1)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(x1)))))))))))))))))) 0(2(2(3(2(3(2(2(2(2(2(3(3(0(0(0(0(3(x1)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(x1)))))))))))))))))) 0(2(3(3(1(0(3(0(0(0(2(0(1(3(1(3(3(0(x1)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(x1)))))))))))))))))) 0(3(0(3(2(2(0(3(3(1(0(0(3(0(3(0(1(0(x1)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(x1)))))))))))))))))) 0(3(1(2(3(1(0(3(3(3(1(3(0(3(2(2(1(2(x1)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(x1)))))))))))))))))) 0(3(3(3(1(2(0(0(3(2(0(1(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(x1))))))))))))))))))
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