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Derivational Complexity: TRS Innermost pair #487107166
details
property
value
status
complete
benchmark
137799.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
299.469 seconds
cpu usage
976.255
user time
970.25
system time
6.00515
max virtual memory
1.8755256E7
max residence set size
1.4388308E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 41 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), 11 ms] (12) typed CpxTrs (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), 29 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 23 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 3786 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 124 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 132 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 21 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 20 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 7110 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 355 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 25 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 32.9 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9946 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10.1 s] (48) 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(1(2(1(0(0(0(3(0(0(3(2(0(2(3(x1)))))))))))))))))))) -> 2(0(2(1(1(0(3(0(2(1(1(2(2(0(0(1(3(1(1(2(x1)))))))))))))))))))) 0(0(0(0(3(1(0(3(0(2(0(0(2(2(0(2(0(3(3(1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(2(2(3(3(0(2(3(0(2(1(2(0(3(x1)))))))))))))))))))) 0(0(1(0(0(0(2(0(0(0(1(2(2(0(2(2(0(1(1(3(x1)))))))))))))))))))) -> 2(2(0(0(1(2(3(3(0(2(1(2(1(2(0(2(2(2(2(0(x1)))))))))))))))))))) 0(0(2(3(2(1(1(1(3(2(1(2(3(2(2(3(2(2(0(3(x1)))))))))))))))))))) -> 3(3(0(0(2(0(3(0(1(0(2(0(3(1(2(2(0(1(2(1(x1)))))))))))))))))))) 0(1(1(2(2(1(2(1(2(3(2(3(3(2(0(2(2(1(2(1(x1)))))))))))))))))))) -> 1(2(1(1(0(0(1(2(0(1(2(0(2(2(2(0(0(3(3(2(x1)))))))))))))))))))) 0(1(2(0(1(2(1(1(0(2(2(1(0(2(3(3(1(0(2(2(x1)))))))))))))))))))) -> 0(3(0(2(0(2(3(2(2(3(3(2(2(0(0(2(0(3(0(0(x1)))))))))))))))))))) 0(1(2(2(0(1(0(0(2(0(3(0(0(0(0(0(2(3(0(1(x1)))))))))))))))))))) -> 2(3(2(1(1(3(1(2(0(3(2(0(2(2(0(1(2(0(2(3(x1)))))))))))))))))))) 0(1(2(3(3(2(2(1(0(2(1(1(2(3(0(0(2(2(2(2(x1)))))))))))))))))))) -> 2(0(2(3(2(1(2(0(1(3(2(1(2(3(2(1(2(1(2(2(x1)))))))))))))))))))) 0(2(2(0(2(1(0(2(0(0(3(0(0(3(2(1(0(3(3(1(x1)))))))))))))))))))) -> 0(2(1(2(1(0(2(0(2(0(2(1(2(3(2(1(3(3(2(1(x1)))))))))))))))))))) 0(2(2(0(2(3(2(3(0(3(0(2(0(0(1(2(0(2(3(2(x1)))))))))))))))))))) -> 2(2(0(1(2(0(2(0(2(2(2(0(0(2(2(0(3(2(2(2(x1)))))))))))))))))))) 0(2(2(3(1(1(2(3(1(0(0(1(2(0(2(2(2(3(1(3(x1)))))))))))))))))))) -> 2(2(0(2(2(2(0(1(0(2(2(3(2(3(3(1(3(3(0(2(x1)))))))))))))))))))) 0(2(3(3(3(2(0(1(2(2(3(2(0(2(2(0(2(2(1(3(x1)))))))))))))))))))) -> 0(2(2(2(1(2(2(0(2(0(3(1(3(1(0(2(0(2(1(2(x1)))))))))))))))))))) 0(3(2(1(1(2(2(2(3(2(0(1(2(2(0(0(3(1(0(1(x1)))))))))))))))))))) -> 2(1(2(1(0(2(2(2(1(0(0(2(1(0(1(2(0(3(3(0(x1)))))))))))))))))))) 0(3(3(2(2(3(2(2(1(3(2(2(0(1(3(0(2(3(2(3(x1)))))))))))))))))))) -> 1(2(0(0(1(1(0(2(2(2(0(2(1(3(1(0(3(0(0(1(x1)))))))))))))))))))) 1(0(0(1(3(0(0(0(3(2(1(2(3(1(2(1(3(1(3(2(x1)))))))))))))))))))) -> 1(3(2(1(1(0(3(2(3(2(0(2(0(2(3(3(1(0(3(1(x1)))))))))))))))))))) 1(0(2(1(2(2(0(1(2(2(0(1(3(3(3(2(3(0(1(0(x1)))))))))))))))))))) -> 2(0(3(2(0(1(1(0(2(3(1(0(2(3(2(2(3(0(1(3(x1)))))))))))))))))))) 1(0(2(2(3(0(2(3(0(1(2(0(0(1(3(1(2(3(1(2(x1)))))))))))))))))))) -> 2(2(3(0(0(1(1(2(2(0(2(0(3(1(3(2(2(3(0(0(x1)))))))))))))))))))) 1(0(3(0(2(0(2(1(2(2(2(2(3(3(0(0(3(1(0(2(x1)))))))))))))))))))) -> 1(2(0(2(2(1(2(2(2(0(2(0(1(3(0(2(1(1(1(0(x1)))))))))))))))))))) 1(1(2(2(2(1(2(0(2(2(2(0(1(0(0(0(3(2(3(1(x1)))))))))))))))))))) -> 2(2(3(2(2(3(3(2(2(3(0(3(2(0(2(0(1(2(0(2(x1)))))))))))))))))))) 1(1(3(3(2(2(1(3(2(2(0(0(1(2(1(1(3(3(2(2(x1)))))))))))))))))))) -> 2(2(3(0(1(3(1(2(3(3(0(3(2(0(2(0(0(3(1(0(x1)))))))))))))))))))) 1(2(2(0(3(0(2(2(3(0(3(1(3(3(3(3(2(2(0(2(x1)))))))))))))))))))) -> 3(2(1(3(2(2(0(3(0(2(2(2(2(1(1(3(2(2(3(2(x1)))))))))))))))))))) 1(2(2(3(1(2(2(3(0(0(0(2(2(2(3(0(1(2(3(0(x1)))))))))))))))))))) -> 3(2(3(1(0(2(1(2(1(0(2(0(0(1(2(0(2(2(1(0(x1)))))))))))))))))))) 1(2(3(0(1(1(3(3(2(0(3(1(2(0(3(1(0(3(0(0(x1)))))))))))))))))))) -> 2(1(2(2(0(0(1(0(2(1(1(1(0(1(3(0(1(1(3(0(x1)))))))))))))))))))) 1(2(3(1(2(1(0(0(2(0(3(0(2(1(0(1(1(2(0(2(x1)))))))))))))))))))) -> 0(0(2(0(0(1(1(2(2(2(1(2(1(3(2(2(0(2(0(3(x1)))))))))))))))))))) 1(2(3(2(0(3(2(3(0(3(1(3(0(2(0(1(3(0(2(0(x1)))))))))))))))))))) -> 3(1(0(2(2(2(0(2(2(0(3(3(0(0(3(0(3(1(1(0(x1)))))))))))))))))))) 1(2(3(3(0(0(0(3(0(0(0(1(0(2(2(2(2(2(3(0(x1)))))))))))))))))))) -> 3(1(0(2(2(2(3(0(1(0(2(2(2(3(0(2(2(0(1(1(x1)))))))))))))))))))) 2(0(0(2(2(0(1(2(0(1(2(3(1(3(1(2(3(2(0(3(x1)))))))))))))))))))) -> 2(2(1(3(2(2(0(2(2(2(1(2(2(2(1(0(3(3(2(1(x1)))))))))))))))))))) 2(0(1(0(2(3(2(3(2(2(0(2(3(1(2(0(0(0(0(1(x1)))))))))))))))))))) -> 2(2(2(1(1(0(0(0(3(2(1(3(0(2(1(2(0(2(2(1(x1)))))))))))))))))))) 2(0(1(0(2(3(3(0(2(2(3(2(0(1(1(3(2(1(2(0(x1)))))))))))))))))))) -> 3(2(1(0(2(1(2(3(2(2(2(3(2(2(0(2(2(3(1(0(x1)))))))))))))))))))) 2(0(1(2(1(2(3(0(1(2(0(1(1(0(3(0(2(3(2(3(x1)))))))))))))))))))) -> 0(0(2(0(2(2(2(0(0(0(0(3(2(1(2(0(3(3(1(0(x1)))))))))))))))))))) 2(0(3(1(0(2(2(0(1(0(0(2(1(0(1(0(1(3(3(0(x1)))))))))))))))))))) -> 3(3(2(0(1(2(2(2(0(2(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))))) 2(1(0(0(3(0(1(0(3(2(0(0(2(1(0(1(3(2(3(2(x1)))))))))))))))))))) -> 0(0(0(0(1(0(1(2(2(2(3(0(0(0(0(2(2(0(0(1(x1)))))))))))))))))))) 2(1(0(1(3(3(2(1(3(0(2(3(0(2(1(0(2(3(2(2(x1)))))))))))))))))))) -> 2(1(2(3(1(0(3(2(2(2(2(0(3(0(2(1(0(2(3(2(x1))))))))))))))))))))
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