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Derivational Complexity: TRS Innermost pair #487106422
details
property
value
status
complete
benchmark
91218.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
298.685 seconds
cpu usage
786.864
user time
779.41
system time
7.45423
max virtual memory
1.8683044E7
max residence set size
1.489456E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 36 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) RewriteLemmaProof [LOWER BOUND(ID), 10.5 s] (14) BOUNDS(1, INF) (15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (16) CpxTRS (17) NonCtorToCtorProof [UPPER BOUND(ID), 6 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 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), 396 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 170 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 129 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 3 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 2827 ms] (38) CdtProblem (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 277 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), 10.3 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3117 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3108 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3140 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7352 ms] (54) CdtProblem (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 558 ms] (56) 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(0(0(1(1(1(1(2(2(1(2(1(2(2(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(0(0(2(1(2(1(1(1(0(0(1(1(2(1(0(1(1(0(1(2(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 0(0(0(1(2(2(0(0(0(1(2(1(0(1(1(0(2(0(1(2(2(0(0(x1))))))))))))))))))))))) -> 2(1(0(1(1(1(2(1(1(0(2(0(2(1(2(0(1(0(2(2(0(1(1(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(0(2(1(1(2(0(2(0(1(1(1(0(0(1(1(2(2(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(2(1(1(1(0(1(0(1(1(1(1(0(1(1(0(1(1(0(2(1(0(0(2(1(1(x1))))))))))))))))))))))))))) 0(0(1(0(0(1(0(1(0(2(0(1(1(0(0(2(2(1(0(0(1(2(2(x1))))))))))))))))))))))) -> 2(0(1(1(2(2(1(1(0(1(0(2(1(1(2(1(1(2(2(1(0(1(1(1(0(0(1(x1))))))))))))))))))))))))))) 0(0(2(1(0(0(1(2(1(0(0(0(1(1(1(0(0(2(2(0(0(0(0(x1))))))))))))))))))))))) -> 0(2(1(0(1(1(1(2(0(2(2(0(0(1(1(2(1(1(0(0(1(1(1(2(1(2(1(x1))))))))))))))))))))))))))) 0(0(2(1(0(1(0(0(1(2(1(2(1(1(2(0(1(2(2(0(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(0(1(2(2(0(1(2(0(2(1(0(1(1(1(1(2(1(1(1(x1))))))))))))))))))))))))))) 0(0(2(1(1(2(0(1(2(2(0(1(0(2(2(1(2(0(1(1(0(1(1(x1))))))))))))))))))))))) -> 2(1(1(1(0(2(0(1(1(1(1(2(2(1(0(2(0(1(0(0(1(0(2(1(0(1(1(x1))))))))))))))))))))))))))) 0(1(2(0(1(0(2(0(1(1(0(2(1(1(0(2(0(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(1(1(0(2(0(1(1(0(0(2(2(1(1(0(0(1(0(0(1(1(0(1(2(1(1(x1))))))))))))))))))))))))))) 0(2(0(1(0(0(1(2(0(1(2(1(0(0(1(1(0(0(1(1(2(0(1(x1))))))))))))))))))))))) -> 0(2(2(1(1(0(0(1(1(1(1(2(1(0(0(1(1(1(2(0(0(1(0(1(1(0(1(x1))))))))))))))))))))))))))) 0(2(0(1(2(2(0(0(0(2(0(0(0(0(1(1(0(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 2(0(0(2(2(2(2(1(1(2(1(1(2(0(0(0(0(1(1(0(0(0(1(1(0(1(1(x1))))))))))))))))))))))))))) 0(2(1(1(2(2(1(2(1(2(0(0(0(1(2(1(0(1(2(1(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(0(1(0(2(1(1(1(0(1(0(2(1(1(2(2(1(2(1(1(1(1(1(1(0(x1))))))))))))))))))))))))))) 0(2(2(0(1(0(1(0(0(0(1(1(1(0(0(2(2(1(2(1(0(1(0(x1))))))))))))))))))))))) -> 0(2(0(1(1(1(1(1(1(1(2(2(1(1(1(2(2(1(1(1(0(2(1(0(2(1(1(x1))))))))))))))))))))))))))) 0(2(2(0(1(1(0(1(0(1(1(0(0(2(2(2(1(0(1(2(1(2(1(x1))))))))))))))))))))))) -> 0(2(1(2(1(1(1(1(0(0(2(1(1(2(1(0(1(1(2(1(1(2(2(1(2(1(1(x1))))))))))))))))))))))))))) 0(2(2(0(2(0(2(1(1(2(1(0(1(0(1(0(2(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 0(2(2(2(2(1(1(2(1(0(1(1(1(0(1(1(0(1(2(1(0(1(1(1(0(2(1(x1))))))))))))))))))))))))))) 0(2(2(1(1(0(2(0(0(0(2(1(1(1(2(0(0(2(2(2(1(1(1(x1))))))))))))))))))))))) -> 1(1(0(1(0(2(2(0(2(1(2(1(0(1(2(1(1(0(1(0(1(1(0(2(0(1(1(x1))))))))))))))))))))))))))) 1(0(1(0(2(1(0(2(1(0(1(2(1(0(2(0(1(1(2(0(0(0(2(x1))))))))))))))))))))))) -> 1(0(1(2(1(2(1(0(1(2(2(1(2(1(0(0(1(0(0(1(1(2(1(1(1(2(2(x1))))))))))))))))))))))))))) 1(0(1(2(0(0(0(0(1(2(2(2(1(2(1(2(0(2(1(2(0(1(1(x1))))))))))))))))))))))) -> 1(1(1(1(0(1(1(0(2(0(2(2(1(2(2(2(1(2(2(1(2(0(2(1(0(1(1(x1))))))))))))))))))))))))))) 1(0(1(2(0(2(1(1(0(0(0(0(2(0(0(1(2(2(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(2(0(1(1(1(2(0(0(0(2(2(0(2(1(1(1(2(1(1(0(1(0(1(2(0(x1))))))))))))))))))))))))))) 1(0(1(2(2(1(0(0(0(0(1(2(1(0(0(1(0(1(2(2(0(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(1(1(0(0(2(2(0(1(2(1(1(1(0(1(0(0(1(1(2(1(0(0(1(x1))))))))))))))))))))))))))) 1(0(2(0(0(1(0(1(1(1(2(1(1(2(1(0(0(1(0(2(2(0(0(x1))))))))))))))))))))))) -> 1(1(0(2(1(0(1(1(1(0(0(0(0(1(2(1(1(1(0(0(2(1(1(0(0(1(0(x1))))))))))))))))))))))))))) 1(0(2(1(0(0(2(1(1(1(1(2(2(0(1(1(1(1(1(2(0(1(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(1(1(2(1(1(1(2(1(2(0(0(0(1(1(0(0(1(2(1(1(1(1(x1))))))))))))))))))))))))))) 1(0(2(2(2(1(1(0(1(0(1(1(2(2(1(0(1(2(1(0(0(1(1(x1))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(0(0(1(0(0(2(1(0(2(1(1(1(2(1(1(1(0(1(1(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(0(1(1(2(0(1(0(2(1(0(0(0(0(2(2(1(0(x1))))))))))))))))))))))) -> 1(1(0(2(2(1(2(2(2(1(1(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(x1))))))))))))))))))))))))))) 1(1(1(2(0(1(2(2(0(1(0(1(1(0(0(0(0(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(0(1(1(0(1(1(1(0(2(1(0(2(1(0(1(0(1(0(2(2(x1))))))))))))))))))))))))))) 1(1(1(2(1(0(0(2(0(0(0(2(1(0(2(1(0(0(1(1(2(0(2(x1))))))))))))))))))))))) -> 1(1(1(1(1(2(0(1(1(1(1(1(2(0(0(2(2(1(1(2(0(2(1(1(2(0(2(x1)))))))))))))))))))))))))))
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return to Derivational Complexity: TRS Innermost