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Derivational Complexity: TRS pair #487103196
details
property
value
status
complete
benchmark
137136.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)
297.032 seconds
cpu usage
898.49
user time
891.459
system time
7.03101
max virtual memory
1.9083416E7
max residence set size
1.478774E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 85 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), 20 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) RcToIrcProof [BOTH BOUNDS(ID, ID), 2275 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 49 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 12 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 3564 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 119 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 86 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 16 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1672 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 15 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 14.1 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4367 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4417 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4415 ms] (52) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(2(2(2(1(1(0(2(1(3(4(2(0(3(1(3(x1)))))))))))))))))))) -> 3(3(0(0(2(4(2(3(3(1(0(0(4(3(0(2(0(4(4(1(x1)))))))))))))))))))) 0(0(0(3(0(3(3(4(1(2(2(2(0(1(1(4(0(1(2(0(x1)))))))))))))))))))) -> 3(3(3(0(0(2(3(4(0(0(0(1(3(0(0(4(1(0(3(4(x1)))))))))))))))))))) 0(0(0(4(4(2(2(2(3(2(0(3(4(0(1(1(2(0(3(3(x1)))))))))))))))))))) -> 2(0(3(3(3(1(1(2(0(3(4(2(0(4(0(0(0(3(2(1(x1)))))))))))))))))))) 0(0(1(0(2(4(4(1(4(0(4(0(4(2(0(2(1(3(1(2(x1)))))))))))))))))))) -> 2(2(4(2(4(0(0(1(0(1(2(2(2(1(0(2(4(0(0(2(x1)))))))))))))))))))) 0(0(1(2(2(0(3(2(3(1(3(4(2(3(3(3(2(1(0(1(x1)))))))))))))))))))) -> 1(1(0(3(3(4(0(0(3(3(0(0(0(0(2(3(0(2(1(4(x1)))))))))))))))))))) 0(1(4(0(1(2(1(3(0(0(2(2(0(2(0(0(0(0(1(3(x1)))))))))))))))))))) -> 0(1(0(3(3(2(2(3(2(0(0(1(2(4(0(2(0(2(3(3(x1)))))))))))))))))))) 0(2(0(2(2(3(3(2(2(1(3(0(1(1(2(3(3(4(2(2(x1)))))))))))))))))))) -> 4(2(1(0(1(0(1(2(3(0(1(0(3(2(4(0(2(0(2(2(x1)))))))))))))))))))) 0(2(2(4(2(3(4(4(1(4(4(3(2(0(3(0(3(1(4(2(x1)))))))))))))))))))) -> 3(4(0(1(2(3(0(1(0(4(0(1(1(0(2(3(3(3(1(1(x1)))))))))))))))))))) 0(2(3(1(3(4(4(0(2(0(4(4(3(2(3(4(0(0(3(0(x1)))))))))))))))))))) -> 1(0(0(1(1(3(2(4(0(2(0(4(3(4(4(3(0(0(3(0(x1)))))))))))))))))))) 0(2(3(3(0(2(0(2(0(4(1(2(0(2(2(3(1(1(0(2(x1)))))))))))))))))))) -> 0(1(0(4(1(3(3(0(1(4(3(2(3(3(0(3(2(3(0(2(x1)))))))))))))))))))) 0(2(3(3(1(4(3(0(3(1(4(3(2(1(0(2(4(1(2(3(x1)))))))))))))))))))) -> 1(2(3(0(0(4(2(2(1(3(0(0(4(3(3(3(1(4(0(2(x1)))))))))))))))))))) 0(3(2(2(4(4(2(3(0(3(4(1(1(3(0(3(3(3(2(2(x1)))))))))))))))))))) -> 3(2(2(3(2(3(0(4(0(1(0(1(2(3(4(0(4(2(1(2(x1)))))))))))))))))))) 0(3(4(3(1(3(3(2(4(0(3(3(2(2(3(3(0(3(2(2(x1)))))))))))))))))))) -> 0(4(2(3(3(3(4(2(3(1(2(3(0(4(2(0(4(0(4(2(x1)))))))))))))))))))) 0(4(1(0(0(1(4(4(1(2(0(3(4(2(0(0(3(4(1(2(x1)))))))))))))))))))) -> 2(3(3(0(3(4(0(1(0(0(1(1(2(1(0(2(0(4(0(2(x1)))))))))))))))))))) 0(4(1(1(0(0(1(0(2(0(2(4(0(1(0(4(1(0(3(3(x1)))))))))))))))))))) -> 2(0(0(4(0(4(0(2(3(0(0(0(0(1(0(3(2(1(1(2(x1)))))))))))))))))))) 0(4(2(0(3(1(3(4(3(4(0(0(1(2(4(4(4(0(4(2(x1)))))))))))))))))))) -> 4(3(3(0(3(1(0(1(2(4(1(4(3(0(0(1(4(3(0(2(x1)))))))))))))))))))) 0(4(2(2(0(1(4(1(4(3(2(3(0(3(1(0(1(1(1(1(x1)))))))))))))))))))) -> 2(2(1(0(1(0(0(2(0(3(2(2(2(3(1(1(3(0(3(1(x1)))))))))))))))))))) 0(4(3(1(4(3(4(1(4(2(0(0(1(2(1(3(1(1(0(2(x1)))))))))))))))))))) -> 0(2(0(0(1(1(2(4(1(1(1(1(3(3(3(4(2(1(2(0(x1)))))))))))))))))))) 0(4(4(0(0(0(0(2(2(1(2(2(1(4(4(2(1(4(1(2(x1)))))))))))))))))))) -> 1(2(4(2(2(1(1(0(0(0(1(3(0(0(2(3(1(1(3(0(x1)))))))))))))))))))) 1(0(0(3(1(0(1(1(4(1(3(0(1(3(4(3(3(4(2(3(x1)))))))))))))))))))) -> 0(2(3(4(2(0(3(0(3(2(2(1(0(3(3(0(3(3(1(3(x1)))))))))))))))))))) 1(0(1(1(4(1(2(2(3(2(3(1(4(2(3(3(2(4(0(2(x1)))))))))))))))))))) -> 2(4(1(2(1(2(2(0(4(1(3(0(3(2(3(0(1(0(3(2(x1)))))))))))))))))))) 1(0(3(2(0(0(0(2(2(3(4(2(2(1(3(4(2(4(1(2(x1)))))))))))))))))))) -> 1(2(1(0(4(0(1(1(0(2(3(3(3(2(4(3(0(2(4(2(x1)))))))))))))))))))) 1(0(4(2(2(2(0(2(0(3(0(2(1(4(1(4(1(2(4(2(x1)))))))))))))))))))) -> 1(0(2(3(2(1(1(3(0(2(1(3(1(4(2(4(2(1(1(2(x1)))))))))))))))))))) 1(1(0(2(0(2(0(4(0(2(0(1(1(3(4(4(3(1(4(2(x1)))))))))))))))))))) -> 4(4(2(1(0(3(4(3(1(1(0(0(3(3(0(0(2(2(4(2(x1)))))))))))))))))))) 1(2(0(3(1(3(1(0(4(2(0(1(4(2(1(3(2(1(1(2(x1)))))))))))))))))))) -> 1(3(1(3(3(0(0(1(2(0(1(1(0(2(0(2(2(1(4(2(x1)))))))))))))))))))) 1(2(1(3(3(0(3(2(1(1(4(2(3(3(4(0(2(2(3(2(x1)))))))))))))))))))) -> 4(0(2(2(0(2(0(2(3(0(3(0(0(1(4(1(3(3(0(2(x1)))))))))))))))))))) 1(2(3(3(0(4(1(3(3(4(2(0(3(1(0(1(1(1(4(2(x1)))))))))))))))))))) -> 1(0(3(0(2(0(1(0(3(0(0(0(2(3(1(0(4(2(3(3(x1)))))))))))))))))))) 1(2(3(4(0(4(1(0(2(2(4(2(4(2(0(0(4(4(0(2(x1)))))))))))))))))))) -> 1(1(3(1(0(0(3(0(2(2(1(1(0(4(2(3(1(2(3(2(x1)))))))))))))))))))) 1(3(0(0(3(4(4(2(0(3(0(1(2(4(3(4(4(0(4(2(x1)))))))))))))))))))) -> 3(0(1(2(0(1(0(2(0(0(4(2(2(0(0(2(0(1(4(2(x1))))))))))))))))))))
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