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Derivational Complexity: TRS Innermost pair #487107286
details
property
value
status
complete
benchmark
123759.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.413 seconds
cpu usage
811.493
user time
803.138
system time
8.35554
max virtual memory
1.8885928E7
max residence set size
1.5196592E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 41 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), 18 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 2226 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 205 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 189 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 16 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 1927 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 79 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), 11.2 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3188 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3154 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3131 ms] (50) 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(1(0(0(4(2(1(4(0(0(2(5(x1)))))))))))) -> 4(3(3(3(3(5(4(0(2(3(3(3(2(2(3(0(x1)))))))))))))))) 0(1(1(5(4(1(5(5(1(4(0(4(x1)))))))))))) -> 3(0(3(1(2(4(2(2(3(2(1(0(1(4(5(1(4(x1))))))))))))))))) 0(1(3(0(5(2(2(4(1(1(1(4(x1)))))))))))) -> 3(0(3(0(3(3(4(5(5(5(2(5(1(4(4(5(3(1(x1)))))))))))))))))) 0(2(0(1(0(0(4(5(1(0(3(0(x1)))))))))))) -> 5(4(5(3(3(5(3(3(5(3(0(3(2(4(3(0(0(2(x1)))))))))))))))))) 0(2(4(0(1(1(5(0(3(4(0(4(x1)))))))))))) -> 3(3(2(0(4(1(4(2(2(0(0(4(4(2(3(x1))))))))))))))) 0(2(5(1(3(4(5(1(1(1(1(2(x1)))))))))))) -> 0(0(0(3(3(2(3(3(1(4(5(5(3(2(4(x1))))))))))))))) 0(2(5(2(4(1(1(1(0(4(5(5(x1)))))))))))) -> 3(5(5(5(2(3(1(3(5(2(5(4(5(2(2(3(0(1(x1)))))))))))))))))) 0(3(3(5(4(3(4(0(3(4(2(4(x1)))))))))))) -> 2(5(3(3(0(3(5(5(4(2(2(2(2(3(3(1(3(3(x1)))))))))))))))))) 0(3(4(1(2(4(1(5(3(4(0(4(x1)))))))))))) -> 1(3(3(1(0(3(5(3(3(0(0(5(2(1(4(4(2(5(x1)))))))))))))))))) 0(3(5(4(4(4(1(1(1(3(2(0(x1)))))))))))) -> 3(2(2(3(3(0(3(1(4(5(3(0(1(4(0(3(3(x1))))))))))))))))) 0(4(1(4(1(0(4(2(3(5(0(0(x1)))))))))))) -> 2(2(5(3(3(2(2(4(4(2(3(4(2(5(3(3(x1)))))))))))))))) 0(4(1(4(2(4(0(0(0(0(2(4(x1)))))))))))) -> 5(4(4(0(4(3(3(5(2(0(0(2(4(4(0(x1))))))))))))))) 0(4(2(2(1(4(3(3(3(4(5(0(x1)))))))))))) -> 0(5(5(2(5(5(3(2(5(1(3(4(4(0(x1)))))))))))))) 0(4(4(1(2(4(5(3(0(4(5(1(x1)))))))))))) -> 3(1(1(2(2(1(3(2(5(2(2(2(2(2(5(3(3(x1))))))))))))))))) 0(4(5(1(3(1(0(0(5(4(0(4(x1)))))))))))) -> 0(0(0(3(4(5(2(5(5(3(0(1(5(3(x1)))))))))))))) 0(5(0(1(3(4(4(3(4(3(2(2(x1)))))))))))) -> 1(5(5(5(2(3(2(5(3(1(5(5(5(5(3(3(x1)))))))))))))))) 0(5(1(4(0(3(4(4(2(0(0(4(x1)))))))))))) -> 1(0(2(2(5(3(4(2(3(0(5(5(2(0(1(1(3(x1))))))))))))))))) 1(0(1(0(5(0(0(2(0(3(4(0(x1)))))))))))) -> 3(2(0(1(5(5(3(2(1(0(1(3(2(0(2(4(3(x1))))))))))))))))) 1(0(2(2(4(0(5(1(0(3(1(4(x1)))))))))))) -> 3(0(1(4(2(0(2(2(2(5(1(3(3(3(3(1(x1)))))))))))))))) 1(0(4(1(0(4(1(5(4(3(1(1(x1)))))))))))) -> 1(5(0(2(5(3(1(3(3(2(1(2(4(3(2(3(x1)))))))))))))))) 1(0(4(5(1(0(5(0(2(2(0(1(x1)))))))))))) -> 1(5(5(5(2(4(5(4(2(2(3(0(4(2(3(x1))))))))))))))) 1(1(0(0(2(1(4(1(1(1(3(5(x1)))))))))))) -> 4(5(3(3(2(0(4(5(5(2(2(2(1(4(3(2(x1)))))))))))))))) 1(1(1(4(4(1(1(4(5(2(1(2(x1)))))))))))) -> 0(5(1(1(5(3(0(3(3(5(4(1(0(5(5(x1))))))))))))))) 1(1(2(5(3(2(0(0(2(2(3(4(x1)))))))))))) -> 5(2(3(3(3(0(4(3(1(3(3(5(4(2(3(3(1(x1))))))))))))))))) 1(1(4(3(1(1(1(5(0(1(3(0(x1)))))))))))) -> 2(1(4(5(3(3(1(2(0(3(2(2(3(5(3(2(x1)))))))))))))))) 1(2(2(4(2(2(4(1(0(1(4(0(x1)))))))))))) -> 3(0(3(3(0(3(3(4(5(0(1(1(4(5(5(5(2(x1))))))))))))))))) 1(2(2(4(3(1(1(2(5(1(3(0(x1)))))))))))) -> 5(2(5(3(1(5(3(3(3(3(3(1(3(0(4(x1))))))))))))))) 1(2(5(1(5(2(4(0(5(4(1(1(x1)))))))))))) -> 3(0(1(5(1(3(4(2(5(0(4(2(3(0(3(0(2(x1))))))))))))))))) 1(3(1(0(4(4(3(4(0(2(1(5(x1)))))))))))) -> 3(1(3(5(2(5(3(3(3(3(0(3(2(0(5(4(2(3(x1)))))))))))))))))) 1(3(2(3(0(1(5(4(0(2(0(5(x1)))))))))))) -> 3(5(2(2(5(3(3(5(2(4(5(2(0(2(3(x1))))))))))))))) 1(3(4(3(1(1(1(4(4(4(1(2(x1)))))))))))) -> 1(5(1(2(5(1(3(3(4(5(3(5(2(3(2(0(5(1(x1))))))))))))))))))
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