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Derivational Complexity: TRS Innermost pair #487106342
details
property
value
status
complete
benchmark
150468.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)
297.231 seconds
cpu usage
1165.34
user time
1161.33
system time
4.01566
max virtual memory
1.8956792E7
max residence set size
6246968.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 51 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) 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), 64 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), 1555 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 259 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 173 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 15 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 17.1 s] (36) CdtProblem (37) CdtLeafRemovalProof [ComplexityIfPolyImplication, 15 ms] (38) CdtProblem (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 629 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 19 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 87.2 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 24.1 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(0(1(0(x1))))))) -> 2(1(2(2(0(1(1(2(x1)))))))) 2(0(0(2(2(2(0(1(0(0(x1)))))))))) -> 2(1(2(2(2(1(1(0(1(2(1(x1))))))))))) 0(1(2(2(2(0(2(1(1(1(2(1(1(0(x1)))))))))))))) -> 1(2(0(1(0(1(2(1(2(1(2(2(2(1(1(0(x1)))))))))))))))) 2(1(1(2(0(1(1(2(0(0(1(0(0(1(x1)))))))))))))) -> 2(2(2(1(2(0(2(1(2(2(0(0(1(0(2(x1))))))))))))))) 1(0(0(2(1(1(0(1(0(2(0(2(0(1(1(x1))))))))))))))) -> 1(0(0(2(2(2(2(1(0(0(2(2(2(1(2(1(x1)))))))))))))))) 0(0(1(0(0(1(1(0(2(2(2(1(1(2(0(2(x1)))))))))))))))) -> 1(0(2(0(0(1(2(1(2(0(1(1(2(1(2(1(2(2(x1)))))))))))))))))) 0(0(2(0(0(0(1(2(2(2(1(0(1(1(2(1(2(0(2(x1))))))))))))))))))) -> 2(1(2(2(2(0(0(0(1(2(0(1(1(1(2(1(0(2(1(2(x1)))))))))))))))))))) 0(2(1(0(1(2(2(2(2(0(0(2(0(0(1(0(2(2(1(x1))))))))))))))))))) -> 2(2(1(2(2(1(2(2(2(2(2(0(0(2(2(1(2(2(1(2(x1)))))))))))))))))))) 1(1(1(2(2(0(2(0(0(2(0(2(0(2(0(0(0(2(1(1(0(x1))))))))))))))))))))) -> 1(1(1(0(0(2(1(0(1(1(1(2(0(1(2(0(0(2(2(1(2(2(x1)))))))))))))))))))))) 1(2(1(0(2(1(0(1(2(1(2(1(2(0(0(0(0(0(2(1(0(x1))))))))))))))))))))) -> 1(1(0(1(0(2(1(2(1(2(0(1(0(1(0(0(2(2(2(1(2(2(x1)))))))))))))))))))))) 0(1(2(1(1(1(1(1(1(0(1(2(2(2(2(2(2(1(0(1(1(1(x1)))))))))))))))))))))) -> 0(2(2(0(1(1(1(2(1(2(2(0(0(0(2(1(2(1(1(0(2(1(2(x1))))))))))))))))))))))) 0(2(0(2(1(2(2(1(1(2(0(2(1(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))))) -> 0(1(0(2(2(2(2(1(1(1(0(1(1(2(1(2(2(2(1(2(2(1(x1)))))))))))))))))))))) 0(0(0(0(2(2(1(0(1(1(0(0(0(1(1(1(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(2(2(0(0(0(1(2(0(1(0(2(2(2(2(2(0(1(2(2(2(0(1(0(x1)))))))))))))))))))))))) 2(0(1(0(1(1(1(0(0(0(2(2(1(2(2(2(1(0(0(0(2(2(0(x1))))))))))))))))))))))) -> 2(2(2(1(2(2(0(1(2(1(1(0(0(2(1(1(2(0(1(1(2(1(2(2(x1)))))))))))))))))))))))) 0(0(1(0(2(2(0(2(1(0(1(1(1(1(2(2(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))) -> 2(0(2(1(1(2(2(1(1(2(0(0(0(0(2(1(2(2(0(1(1(0(2(1(1(x1))))))))))))))))))))))))) 1(0(0(1(1(1(2(0(0(1(2(2(1(0(2(2(1(0(0(2(2(0(1(1(x1)))))))))))))))))))))))) -> 2(2(0(0(0(2(2(1(1(1(2(2(1(1(2(1(2(1(2(1(2(2(2(1(1(1(x1)))))))))))))))))))))))))) 1(0(0(2(2(2(1(1(0(0(2(1(1(2(0(0(2(0(2(1(0(2(0(1(x1)))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(2(0(1(2(2(2(2(0(0(2(0(1(1(2(1(2(1(1(x1)))))))))))))))))))))))))) 0(0(1(2(0(0(0(2(2(0(2(2(2(1(2(0(2(0(0(1(1(1(0(2(1(x1))))))))))))))))))))))))) -> 0(2(1(0(2(1(2(1(2(1(2(1(2(2(0(1(2(0(2(2(0(2(0(1(1(2(1(1(x1)))))))))))))))))))))))))))) 0(0(2(1(0(0(2(0(2(0(0(2(1(1(1(1(0(2(1(1(0(1(1(0(2(x1))))))))))))))))))))))))) -> 1(1(1(1(1(2(0(1(1(2(2(0(0(0(2(1(2(1(2(2(0(2(2(2(2(2(x1)))))))))))))))))))))))))) 0(1(0(0(2(1(1(1(1(0(2(0(2(2(1(0(1(1(2(1(1(1(0(2(0(x1))))))))))))))))))))))))) -> 0(0(2(1(2(0(2(2(0(2(1(0(0(0(0(2(1(2(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))) 0(2(2(1(2(2(0(0(0(0(1(2(1(0(2(1(2(1(0(0(0(2(1(0(1(x1))))))))))))))))))))))))) -> 2(2(1(2(2(1(2(2(1(1(2(2(1(2(2(1(2(0(0(2(0(0(2(0(2(2(x1)))))))))))))))))))))))))) 2(1(0(2(1(1(2(1(2(2(0(0(0(2(2(0(1(1(1(1(1(1(0(0(2(x1))))))))))))))))))))))))) -> 2(0(2(2(2(2(1(2(2(0(2(0(0(1(1(2(1(2(2(2(2(1(2(0(0(2(x1)))))))))))))))))))))))))) 2(2(1(1(1(1(2(1(2(1(2(1(2(1(2(0(2(1(2(1(2(0(2(1(0(x1))))))))))))))))))))))))) -> 2(1(2(2(0(2(2(1(2(2(0(2(2(2(1(2(2(0(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))) 0(1(0(2(1(2(0(2(1(2(0(0(2(0(2(1(1(0(1(1(1(1(1(0(2(0(x1)))))))))))))))))))))))))) -> 2(1(2(2(1(2(2(0(1(1(2(1(2(1(2(0(1(1(1(0(2(2(2(2(2(2(2(1(0(x1))))))))))))))))))))))))))))) 1(0(1(2(2(1(1(2(1(1(1(2(0(2(1(0(0(2(1(2(1(0(2(1(1(0(1(x1))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(0(2(1(2(2(0(0(2(1(1(0(1(2(2(1(0(2(0(2(0(0(x1)))))))))))))))))))))))))))) 2(0(0(2(2(1(1(0(1(2(2(2(0(2(2(2(2(0(1(0(2(2(0(0(1(0(1(x1))))))))))))))))))))))))))) -> 2(2(1(0(0(0(2(1(2(2(1(2(2(0(2(2(2(0(1(1(0(0(0(1(1(1(0(0(x1)))))))))))))))))))))))))))) 2(1(0(0(2(2(0(2(2(2(2(1(1(2(1(2(1(0(1(2(2(2(0(2(1(1(1(1(x1)))))))))))))))))))))))))))) -> 2(1(2(2(2(2(2(0(2(1(2(2(2(0(2(2(1(0(0(0(2(0(2(0(0(0(0(1(0(x1))))))))))))))))))))))))))))) 2(1(1(1(2(1(1(0(2(0(0(1(0(2(2(0(0(0(1(0(1(1(1(0(2(0(1(0(x1)))))))))))))))))))))))))))) -> 2(2(0(2(2(1(2(2(0(0(1(1(0(0(2(1(2(1(2(2(2(1(1(0(1(0(1(2(2(x1))))))))))))))))))))))))))))) 2(2(1(1(1(0(1(0(0(0(0(1(0(0(0(1(2(0(2(2(1(0(1(0(1(2(2(2(0(x1))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(2(0(1(0(0(1(1(1(1(1(1(1(2(2(1(0(0(2(2(2(1(x1)))))))))))))))))))))))))))))) 0(0(2(0(1(2(2(0(1(1(1(2(0(2(2(2(2(2(0(2(1(1(2(2(0(1(0(1(2(0(x1)))))))))))))))))))))))))))))) -> 1(2(2(2(1(1(0(2(2(2(2(1(2(1(2(1(2(2(2(2(0(2(0(1(0(2(2(2(1(1(0(x1))))))))))))))))))))))))))))))) 0(1(2(0(1(2(2(0(1(0(2(1(0(1(1(0(0(2(0(2(2(2(1(0(0(0(0(2(0(1(x1)))))))))))))))))))))))))))))) -> 2(0(2(2(2(1(0(0(0(0(2(2(1(2(1(1(0(1(2(1(2(2(1(2(1(1(0(2(0(1(2(x1))))))))))))))))))))))))))))))) 0(1(2(2(2(2(0(0(0(0(1(1(2(0(2(0(1(2(1(2(0(2(2(0(1(0(1(2(0(1(x1)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(1(0(0(2(1(2(2(0(0(0(1(1(2(1(0(2(2(2(0(2(1(2(0(1(x1)))))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(1(1(1(0(0(0(0(2(0(1(0(0(1(1(2(0(0(1(0(1(0(x1)))))))))))))))))))))))))))))) -> 2(2(0(2(1(2(2(2(1(0(2(2(0(2(1(0(2(2(0(0(0(2(2(0(0(2(1(0(0(1(2(0(x1))))))))))))))))))))))))))))))))
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