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Derivational Complexity: TRS Innermost pair #487107156
details
property
value
status
complete
benchmark
91254.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.971 seconds
cpu usage
914.265
user time
907.898
system time
6.36677
max virtual memory
1.868358E7
max residence set size
1.4548624E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 27 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) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxWeightedTrs (19) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 5 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 3 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 444 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 38 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 2855 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 573 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 13.1 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3440 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3401 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3424 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10.2 s] (52) CdtProblem (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 1314 ms] (54) 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(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1)))))))))))))))))))))))))))
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