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Derivational Complexity: TRS Innermost pair #487106920
details
property
value
status
complete
benchmark
26916.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
294.449 seconds
cpu usage
778.981
user time
771.55
system time
7.43135
max virtual memory
1.87791E7
max residence set size
1.4897864E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 34 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), 7 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), 31 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 4 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 2082 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 208 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 166 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 9 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 2766 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 330 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 14 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 5394 ms] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2436 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2385 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2393 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2425 ms] (52) 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(2(2(3(4(4(0(x1)))))))) -> 0(1(2(3(2(4(4(0(x1)))))))) 0(0(5(1(0(2(4(5(3(x1))))))))) -> 0(0(1(5(2(0(4(5(3(x1))))))))) 4(0(1(2(0(1(2(0(2(x1))))))))) -> 4(2(1(0(0(2(1(0(2(x1))))))))) 4(1(2(3(0(5(0(3(0(x1))))))))) -> 4(1(0(2(3(0(5(3(0(x1))))))))) 2(2(1(0(5(0(3(1(0(5(x1)))))))))) -> 2(2(1(0(0(3(5(1(0(5(x1)))))))))) 3(1(2(5(5(3(2(2(3(0(x1)))))))))) -> 3(5(4(1(4(1(5(2(3(0(x1)))))))))) 4(3(4(3(2(4(5(3(2(4(x1)))))))))) -> 4(4(4(1(5(5(5(2(1(0(x1)))))))))) 5(4(3(0(1(5(5(4(1(4(x1)))))))))) -> 5(4(3(0(1(5(4(5(1(4(x1)))))))))) 0(0(5(4(2(0(5(1(5(2(2(x1))))))))))) -> 4(4(1(5(3(2(1(5(5(0(x1)))))))))) 0(1(1(1(5(1(2(0(1(2(5(x1))))))))))) -> 0(1(1(1(5(1(0(2(1(2(5(x1))))))))))) 0(3(3(1(2(5(1(3(4(2(1(x1))))))))))) -> 0(3(5(1(1(4(2(3(3(2(1(x1))))))))))) 0(3(3(3(1(2(3(2(1(0(3(x1))))))))))) -> 0(5(0(5(5(3(2(1(1(1(x1)))))))))) 0(3(4(2(3(3(3(2(0(0(1(x1))))))))))) -> 1(5(0(5(4(5(4(5(0(5(x1)))))))))) 0(4(1(4(1(2(4(2(3(2(0(x1))))))))))) -> 2(1(1(3(4(5(2(1(0(4(x1)))))))))) 1(0(0(3(1(5(5(3(0(2(2(x1))))))))))) -> 2(0(0(2(4(1(3(5(0(3(x1)))))))))) 1(0(4(2(2(1(5(3(3(2(4(x1))))))))))) -> 2(2(0(1(5(4(2(0(0(4(x1)))))))))) 1(3(0(3(0(4(3(5(3(1(4(x1))))))))))) -> 1(2(0(3(1(0(1(3(5(5(x1)))))))))) 1(3(2(5(2(4(5(5(1(4(1(x1))))))))))) -> 0(4(2(4(3(2(4(2(5(1(x1)))))))))) 1(3(2(5(2(5(1(4(2(1(0(x1))))))))))) -> 2(0(4(3(5(2(3(3(1(2(x1)))))))))) 1(3(4(5(2(2(0(1(5(1(3(x1))))))))))) -> 3(1(5(2(0(4(0(0(3(5(x1)))))))))) 1(4(3(5(1(0(2(4(2(1(4(x1))))))))))) -> 4(1(2(4(1(2(3(5(1(2(x1)))))))))) 1(4(4(0(5(3(2(5(3(1(5(x1))))))))))) -> 3(3(2(0(5(0(5(4(0(0(x1)))))))))) 1(5(2(3(5(0(5(0(0(2(2(x1))))))))))) -> 2(4(0(0(5(1(0(4(0(4(x1)))))))))) 2(1(1(0(0(1(4(3(5(5(4(x1))))))))))) -> 0(3(4(0(0(5(2(4(5(0(x1)))))))))) 2(1(5(1(5(1(3(0(5(5(0(x1))))))))))) -> 1(1(0(2(3(5(4(1(1(5(x1)))))))))) 2(2(0(1(3(3(0(3(3(2(3(x1))))))))))) -> 0(1(5(0(0(2(3(3(2(4(x1)))))))))) 2(2(1(4(2(5(2(2(5(3(1(x1))))))))))) -> 5(5(4(3(1(0(5(0(3(4(x1)))))))))) 2(4(3(0(3(1(0(1(1(3(5(x1))))))))))) -> 1(4(4(4(2(5(0(5(4(4(x1)))))))))) 2(4(5(0(3(3(1(1(0(3(3(x1))))))))))) -> 0(2(3(4(0(4(0(2(2(0(x1))))))))))
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return to Derivational Complexity: TRS Innermost