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Derivational Complexity: TRS pair #487103516
details
property
value
status
complete
benchmark
41865.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.001 seconds
cpu usage
1058.62
user time
1052.1
system time
6.51815
max virtual memory
1.8952304E7
max residence set size
1.5287068E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 66 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), 14 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), 2805 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 45 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 3442 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 71 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 53 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 21 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 31 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1867 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 7 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 14.3 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4410 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4481 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4493 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4433 ms] (54) 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(1(1(2(2(3(2(0(0(0(2(1(0(1(0(x1)))))))))))))))))))) -> 3(2(1(1(3(2(2(0(3(2(1(2(0(0(0(2(2(3(0(0(x1)))))))))))))))))))) 0(0(0(1(0(3(0(2(1(2(2(0(3(2(2(3(2(1(2(1(x1)))))))))))))))))))) -> 0(2(0(0(2(2(3(2(0(0(2(2(3(0(1(2(2(3(0(0(x1)))))))))))))))))))) 0(0(0(1(2(1(3(1(2(3(1(2(1(2(2(3(2(3(0(3(x1)))))))))))))))))))) -> 2(3(3(0(2(3(2(1(3(2(2(3(2(3(1(1(0(2(3(0(x1)))))))))))))))))))) 0(0(0(3(0(1(0(3(3(0(1(3(0(1(2(2(2(1(3(3(x1)))))))))))))))))))) -> 2(1(2(2(3(2(2(1(3(3(1(3(3(3(2(2(2(3(0(3(x1)))))))))))))))))))) 0(0(2(3(2(3(0(3(2(2(3(3(0(3(1(1(3(0(2(2(x1)))))))))))))))))))) -> 1(2(2(0(2(1(1(3(2(2(0(1(3(2(1(2(0(3(2(1(x1)))))))))))))))))))) 0(1(0(0(0(1(2(0(1(1(2(0(2(0(0(1(0(0(0(3(x1)))))))))))))))))))) -> 3(0(2(2(2(3(0(0(0(1(3(0(3(1(1(2(2(0(0(0(x1)))))))))))))))))))) 0(1(0(3(2(3(2(1(0(3(2(2(1(3(0(2(0(0(3(3(x1)))))))))))))))))))) -> 2(1(1(1(2(1(3(2(3(1(2(0(2(2(1(2(0(3(2(3(x1)))))))))))))))))))) 0(1(1(1(3(0(0(3(3(3(0(3(2(1(3(0(0(1(2(1(x1)))))))))))))))))))) -> 0(2(3(0(0(2(0(0(3(3(1(2(0(1(2(3(0(2(2(1(x1)))))))))))))))))))) 0(1(1(2(3(2(0(0(2(2(1(2(0(0(1(1(3(0(1(0(x1)))))))))))))))))))) -> 0(3(0(0(2(3(0(0(2(1(2(0(0(1(1(3(1(0(2(2(x1)))))))))))))))))))) 0(1(2(0(0(0(3(3(0(0(1(1(3(2(1(3(0(0(1(3(x1)))))))))))))))))))) -> 0(0(2(3(2(1(1(3(2(2(0(1(3(3(2(3(3(0(2(2(x1)))))))))))))))))))) 0(1(2(0(1(1(1(3(2(0(2(2(2(3(2(2(3(0(2(1(x1)))))))))))))))))))) -> 0(2(2(3(2(2(0(2(3(2(1(0(0(1(2(2(1(3(2(0(x1)))))))))))))))))))) 0(1(2(0(2(2(2(2(2(1(1(3(3(0(0(0(1(1(1(0(x1)))))))))))))))))))) -> 0(1(2(0(2(1(1(2(0(1(0(0(2(3(2(0(0(2(2(3(x1)))))))))))))))))))) 0(1(2(2(1(2(2(2(1(2(2(2(3(3(1(2(0(2(3(3(x1)))))))))))))))))))) -> 0(1(2(3(0(1(2(3(2(2(2(1(2(0(2(1(2(3(1(0(x1)))))))))))))))))))) 0(1(3(2(1(0(0(1(0(1(1(0(2(2(3(0(3(2(1(2(x1)))))))))))))))))))) -> 0(2(2(2(0(0(0(3(2(1(0(2(0(2(2(1(1(3(2(1(x1)))))))))))))))))))) 0(1(3(3(1(3(2(1(2(1(3(0(2(1(2(1(1(1(2(3(x1)))))))))))))))))))) -> 0(1(3(3(2(1(2(2(0(2(1(0(3(2(2(2(3(3(2(3(x1)))))))))))))))))))) 0(2(0(1(0(1(3(2(3(1(2(0(0(2(2(0(2(0(0(1(x1)))))))))))))))))))) -> 2(1(3(3(0(3(1(1(3(3(0(2(2(1(2(0(2(3(2(2(x1)))))))))))))))))))) 0(2(0(1(1(2(0(3(0(2(1(2(1(1(2(0(0(0(0(0(x1)))))))))))))))))))) -> 0(0(3(0(2(2(2(3(3(0(2(3(0(2(0(2(1(2(0(0(x1)))))))))))))))))))) 0(2(1(0(1(1(1(1(3(1(3(1(3(0(2(3(3(2(2(2(x1)))))))))))))))))))) -> 1(1(2(2(2(0(2(0(0(2(2(1(1(3(1(1(0(0(3(0(x1)))))))))))))))))))) 0(2(1(2(3(1(0(1(2(2(1(0(2(2(3(0(3(0(2(3(x1)))))))))))))))))))) -> 2(2(0(1(1(1(0(0(2(1(0(2(1(3(0(2(3(0(2(2(x1)))))))))))))))))))) 0(2(2(1(0(2(3(0(2(3(1(1(2(1(3(1(0(1(3(2(x1)))))))))))))))))))) -> 3(0(2(2(3(0(2(2(2(2(2(3(3(1(1(1(3(0(0(0(x1)))))))))))))))))))) 0(2(2(2(3(1(0(3(2(0(1(1(0(0(2(3(0(2(0(3(x1)))))))))))))))))))) -> 0(2(3(0(2(1(3(2(0(1(0(3(1(0(0(0(2(2(3(3(x1)))))))))))))))))))) 0(2(2(3(1(1(2(3(0(0(3(2(1(1(0(3(2(1(0(0(x1)))))))))))))))))))) -> 0(2(2(2(3(3(0(2(1(1(2(0(0(3(2(0(0(2(0(2(x1)))))))))))))))))))) 0(2(3(0(2(3(1(1(2(0(1(0(1(0(0(0(0(1(2(3(x1)))))))))))))))))))) -> 1(1(2(3(1(1(2(0(0(2(1(2(0(2(2(3(3(0(2(3(x1)))))))))))))))))))) 0(2(3(1(2(0(1(1(1(0(1(1(3(0(3(0(0(1(3(2(x1)))))))))))))))))))) -> 1(3(0(1(1(2(3(2(1(0(3(0(2(0(1(1(1(1(0(2(x1)))))))))))))))))))) 0(2(3(2(3(2(0(0(3(0(1(1(0(2(1(1(1(1(2(2(x1)))))))))))))))))))) -> 3(2(2(0(2(0(2(1(0(2(0(0(2(2(3(0(0(2(2(2(x1)))))))))))))))))))) 0(3(0(2(1(0(2(3(1(1(1(1(0(3(1(0(1(0(0(2(x1)))))))))))))))))))) -> 2(0(3(3(0(2(3(2(3(3(0(2(0(0(1(1(2(1(2(3(x1)))))))))))))))))))) 0(3(1(0(0(2(3(2(3(0(2(0(1(3(1(2(2(0(0(3(x1)))))))))))))))))))) -> 0(1(1(0(0(3(2(1(1(0(2(0(0(1(2(3(0(0(0(1(x1))))))))))))))))))))
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