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Derivational Complexity: TRS Innermost pair #487107038
details
property
value
status
complete
benchmark
26127.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.863 seconds
cpu usage
888.672
user time
880.189
system time
8.48356
max virtual memory
1.8778684E7
max residence set size
1.500732E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 46 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 12 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 0 ms] (10) typed CpxTrs (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 5 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), 23 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 3 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 30 ms] (26) CpxRNTS (27) CompletionProof [UPPER BOUND(ID), 0 ms] (28) CpxTypedWeightedCompleteTrs (29) NarrowingProof [BOTH BOUNDS(ID, ID), 2348 ms] (30) CpxTypedWeightedCompleteTrs (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 231 ms] (32) CpxRNTS (33) SimplificationProof [BOTH BOUNDS(ID, ID), 167 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 2994 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 285 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), 6107 ms] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2878 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2865 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2866 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2885 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2844 ms] (54) 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(1(0(1(2(3(x1))))))) -> 0(0(1(0(2(1(3(x1))))))) 3(4(3(5(4(5(5(x1))))))) -> 3(4(3(4(5(5(5(x1))))))) 5(3(5(4(5(3(3(5(x1)))))))) -> 5(5(3(4(5(3(3(5(x1)))))))) 1(3(3(1(4(3(2(3(5(x1))))))))) -> 1(3(1(3(3(4(2(3(5(x1))))))))) 4(1(3(0(2(0(1(5(1(0(x1)))))))))) -> 1(2(3(3(2(5(2(1(1(4(x1)))))))))) 5(5(2(5(2(0(3(4(2(0(x1)))))))))) -> 5(5(5(2(2(3(0(2(4(0(x1)))))))))) 0(1(0(3(4(2(1(4(2(4(4(x1))))))))))) -> 4(5(3(2(3(1(5(1(1(4(x1)))))))))) 0(1(2(0(5(1(5(0(2(1(0(x1))))))))))) -> 3(3(3(4(4(5(5(2(0(2(x1)))))))))) 0(2(0(2(2(1(2(3(1(5(2(x1))))))))))) -> 0(5(2(1(1(2(1(1(4(2(x1)))))))))) 0(2(3(3(5(3(5(5(2(0(3(x1))))))))))) -> 3(5(0(1(5(2(2(4(5(1(x1)))))))))) 0(4(3(4(2(5(4(1(1(5(0(x1))))))))))) -> 4(0(2(3(1(0(5(3(5(1(x1)))))))))) 0(5(0(3(3(1(4(3(2(2(5(x1))))))))))) -> 0(2(0(0(0(4(4(5(3(4(x1)))))))))) 0(5(4(5(3(4(5(4(3(2(4(x1))))))))))) -> 0(4(4(3(4(5(3(3(0(4(x1)))))))))) 1(0(1(0(0(3(3(4(0(3(3(x1))))))))))) -> 4(3(5(5(2(3(0(3(1(0(x1)))))))))) 1(0(3(5(5(2(5(3(4(4(5(x1))))))))))) -> 2(5(4(4(2(3(5(0(2(0(x1)))))))))) 1(0(4(4(4(5(5(3(2(3(2(x1))))))))))) -> 2(4(1(3(0(3(5(3(3(1(x1)))))))))) 1(2(1(2(3(4(1(0(2(4(0(x1))))))))))) -> 1(1(5(4(5(4(3(3(2(4(x1)))))))))) 1(2(1(5(3(1(5(3(2(0(2(x1))))))))))) -> 1(1(4(0(5(5(3(5(0(5(x1)))))))))) 1(2(3(3(0(1(0(0(5(4(5(x1))))))))))) -> 3(0(2(2(0(0(2(4(5(2(x1)))))))))) 1(3(0(0(0(2(0(3(4(4(3(x1))))))))))) -> 3(4(2(1(4(0(3(5(1(5(x1)))))))))) 1(3(5(2(2(0(2(3(3(1(3(x1))))))))))) -> 1(3(2(5(2(0(2(3(3(1(3(x1))))))))))) 1(4(1(2(2(1(5(3(0(2(5(x1))))))))))) -> 0(5(1(4(1(4(3(4(5(0(x1)))))))))) 2(0(2(5(2(2(3(3(5(3(3(x1))))))))))) -> 2(3(2(5(1(1(4(5(1(2(x1)))))))))) 2(2(2(2(5(5(1(4(2(2(0(x1))))))))))) -> 3(0(1(5(5(2(5(5(4(1(x1)))))))))) 2(2(5(3(5(0(3(0(5(4(3(x1))))))))))) -> 5(3(0(1(2(3(5(3(5(5(x1)))))))))) 2(3(0(1(3(4(3(0(5(4(5(x1))))))))))) -> 5(1(0(0(2(2(5(2(2(4(x1)))))))))) 2(3(1(4(2(0(1(1(3(4(2(x1))))))))))) -> 1(5(5(2(3(2(0(5(2(0(x1))))))))))
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