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Derivational Complexity: TRS Innermost pair #487107218
details
property
value
status
complete
benchmark
138269.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)
294.822 seconds
cpu usage
789.903
user time
782.267
system time
7.63596
max virtual memory
1.8684968E7
max residence set size
1.5239564E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 42 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), 4 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), 39 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), 1979 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 137 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 126 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), 1922 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 105 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 11 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 11.5 s] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3237 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3322 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3283 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(2(2(3(5(3(4(4(4(5(x1)))))))))))) -> 3(1(0(0(3(1(1(0(0(1(2(3(1(0(0(x1))))))))))))))) 0(1(3(1(5(1(1(5(2(4(1(3(x1)))))))))))) -> 5(3(2(3(0(0(5(2(0(3(3(2(3(3(1(x1))))))))))))))) 0(1(5(1(4(1(2(4(1(4(1(3(x1)))))))))))) -> 3(3(0(2(0(5(0(5(3(3(5(1(1(5(3(1(1(x1))))))))))))))))) 0(1(5(2(2(1(2(5(2(3(1(4(x1)))))))))))) -> 1(1(0(0(4(5(4(2(0(5(2(1(2(2(0(0(4(x1))))))))))))))))) 0(1(5(5(5(2(3(2(2(2(2(1(x1)))))))))))) -> 1(5(0(0(3(2(0(0(4(0(3(4(0(3(2(3(4(x1))))))))))))))))) 0(2(0(5(5(5(3(5(5(3(5(5(x1)))))))))))) -> 0(3(3(3(1(0(5(1(0(3(3(2(1(5(5(x1))))))))))))))) 0(2(4(3(2(5(5(5(2(5(0(2(x1)))))))))))) -> 0(1(1(3(4(0(3(5(2(2(2(3(0(5(1(0(x1)))))))))))))))) 0(2(4(3(5(1(5(4(1(4(1(5(x1)))))))))))) -> 2(1(0(0(3(1(0(0(1(5(0(4(3(5(5(0(0(x1))))))))))))))))) 0(4(1(2(5(2(1(1(2(2(5(1(x1)))))))))))) -> 0(0(0(1(1(0(1(4(5(4(3(1(0(1(4(5(4(x1))))))))))))))))) 0(4(1(5(2(5(3(3(3(5(2(5(x1)))))))))))) -> 0(0(3(2(0(0(5(1(0(0(4(2(1(0(3(0(2(2(x1)))))))))))))))))) 0(5(2(5(0(3(0(1(2(5(5(4(x1)))))))))))) -> 4(3(1(3(3(1(1(0(2(4(4(0(0(5(4(4(4(x1))))))))))))))))) 1(0(2(4(1(5(5(4(1(2(1(0(x1)))))))))))) -> 0(5(1(0(1(3(1(0(0(5(0(0(4(2(2(4(2(x1))))))))))))))))) 1(0(4(1(4(3(2(5(5(3(2(4(x1)))))))))))) -> 3(0(0(3(2(4(3(2(1(3(2(0(0(4(4(0(0(x1))))))))))))))))) 1(1(2(5(4(1(2(3(5(1(3(2(x1)))))))))))) -> 0(3(1(1(1(0(5(3(0(5(0(0(0(2(x1)))))))))))))) 1(2(1(4(3(5(2(2(1(5(5(4(x1)))))))))))) -> 3(3(5(3(5(5(0(0(5(0(0(2(0(1(1(x1))))))))))))))) 1(3(2(4(4(2(3(2(2(3(2(0(x1)))))))))))) -> 3(3(0(4(0(0(4(5(3(0(3(1(0(0(0(x1))))))))))))))) 1(4(0(4(1(1(1(4(1(2(4(1(x1)))))))))))) -> 2(1(3(0(0(2(1(2(3(3(5(1(3(2(x1)))))))))))))) 1(5(1(4(3(3(5(5(2(4(1(5(x1)))))))))))) -> 1(4(2(0(3(0(2(5(0(5(1(5(1(5(x1)))))))))))))) 2(0(0(5(5(2(0(1(4(4(5(0(x1)))))))))))) -> 4(0(3(1(3(0(2(3(4(2(5(1(0(1(x1)))))))))))))) 2(0(3(5(3(4(4(3(2(4(0(3(x1)))))))))))) -> 4(0(5(0(0(3(1(3(0(1(0(0(0(1(x1)))))))))))))) 2(0(5(2(2(5(1(4(1(1(1(2(x1)))))))))))) -> 4(0(0(0(0(3(1(0(0(2(1(0(2(4(4(3(0(x1))))))))))))))))) 2(1(2(5(2(4(2(5(2(2(4(4(x1)))))))))))) -> 3(1(2(0(4(5(0(0(2(5(3(0(2(1(5(1(x1)))))))))))))))) 2(1(4(1(5(5(1(0(2(4(2(5(x1)))))))))))) -> 2(3(0(2(3(1(0(5(0(3(5(4(0(1(x1)))))))))))))) 2(1(5(5(2(5(5(0(3(0(5(2(x1)))))))))))) -> 0(3(1(2(4(4(0(0(5(3(0(0(2(1(0(5(1(0(x1)))))))))))))))))) 2(2(2(4(1(2(2(4(2(2(4(0(x1)))))))))))) -> 3(5(0(5(0(4(0(3(0(4(2(0(5(1(3(0(0(2(x1)))))))))))))))))) 2(2(2(5(2(2(2(3(1(4(1(4(x1)))))))))))) -> 2(4(0(1(3(1(1(3(3(3(1(1(2(0(2(3(0(x1))))))))))))))))) 2(2(4(1(2(1(1(5(4(1(4(4(x1)))))))))))) -> 3(3(3(3(0(4(5(1(1(0(1(0(0(0(2(5(0(0(x1)))))))))))))))))) 2(2(4(1(3(2(0(1(5(4(5(4(x1)))))))))))) -> 1(1(3(4(0(1(3(0(0(4(0(1(0(2(3(x1))))))))))))))) 2(2(4(2(3(4(4(3(3(1(5(3(x1)))))))))))) -> 5(0(3(1(4(5(2(1(3(1(1(5(0(4(x1)))))))))))))) 2(2(5(1(2(2(2(4(3(5(2(4(x1)))))))))))) -> 4(3(3(1(0(3(0(5(3(2(3(2(1(1(4(x1))))))))))))))) 2(2(5(2(5(5(2(4(1(0(4(1(x1)))))))))))) -> 2(0(0(3(5(2(2(4(0(2(0(0(4(2(1(4(5(0(x1))))))))))))))))))
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return to Derivational Complexity: TRS Innermost