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Derivational Complexity: TRS pair #487103222
details
property
value
status
complete
benchmark
149633.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.182 seconds
cpu usage
1167.42
user time
1162.37
system time
5.0543
max virtual memory
1.923004E7
max residence set size
6659240.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 35 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), 21 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), 3270 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 60 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 17 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1639 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 123 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 67 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 13 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 22 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 2606 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 5 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6440 ms] (46) CdtProblem (47) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 21.3 s] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6423 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6820 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16.2 s] (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(1(0(0(x1)))) -> 2(2(0(2(1(x1))))) 1(0(1(1(0(1(x1)))))) -> 1(1(1(0(0(1(x1)))))) 1(0(1(0(0(0(1(0(0(0(x1)))))))))) -> 1(1(0(1(2(2(2(0(0(2(0(2(2(2(x1)))))))))))))) 0(2(2(0(1(1(2(2(2(1(2(x1))))))))))) -> 2(2(2(0(1(1(2(2(2(0(0(2(x1)))))))))))) 1(0(2(1(0(1(2(1(2(0(0(x1))))))))))) -> 2(1(1(1(2(2(0(0(0(0(1(2(x1)))))))))))) 2(1(0(0(0(0(0(2(2(0(1(x1))))))))))) -> 0(2(0(2(1(1(2(2(0(2(0(1(x1)))))))))))) 1(0(0(0(0(0(0(2(0(1(1(1(0(0(x1)))))))))))))) -> 1(0(1(1(0(2(2(2(2(2(0(1(2(2(0(0(2(2(x1)))))))))))))))))) 0(1(1(0(2(2(0(0(1(0(1(1(0(0(2(2(x1)))))))))))))))) -> 2(0(2(1(1(0(0(0(2(2(0(2(2(1(1(1(0(x1))))))))))))))))) 0(1(2(2(0(2(1(2(2(0(1(0(2(0(0(0(x1)))))))))))))))) -> 0(0(2(0(1(2(2(2(2(2(2(0(1(2(2(0(0(x1))))))))))))))))) 1(0(0(2(1(2(1(2(2(2(2(0(0(0(1(2(x1)))))))))))))))) -> 0(0(2(2(2(2(2(0(0(2(2(0(0(0(1(2(2(2(x1)))))))))))))))))) 1(2(1(1(0(0(0(1(0(0(0(0(1(2(1(0(x1)))))))))))))))) -> 1(0(2(1(1(1(1(2(2(2(0(1(0(2(2(2(0(0(x1)))))))))))))))))) 2(1(0(0(2(1(2(2(0(2(2(2(0(0(0(1(x1)))))))))))))))) -> 2(1(0(2(1(0(2(2(2(0(0(2(2(2(0(2(0(1(1(x1))))))))))))))))))) 1(2(1(2(0(1(2(0(1(0(2(1(2(1(0(1(1(x1))))))))))))))))) -> 2(1(1(2(2(0(1(0(1(1(1(1(1(2(0(2(1(1(x1)))))))))))))))))) 2(2(1(2(2(1(1(0(0(0(0(1(2(2(1(0(2(x1))))))))))))))))) -> 2(2(2(2(0(1(0(1(1(1(2(0(0(1(0(0(1(2(2(x1))))))))))))))))))) 0(2(0(1(0(2(1(0(2(1(1(0(0(0(2(0(0(0(x1)))))))))))))))))) -> 2(1(2(2(2(2(1(0(0(0(1(0(1(1(1(0(2(2(0(0(x1)))))))))))))))))))) 1(1(2(2(1(0(1(0(1(1(2(2(1(1(0(1(2(0(2(x1))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(1(1(1(1(1(1(2(2(2(2(2(2(1(2(2(2(2(x1)))))))))))))))))))))))))) 0(0(0(2(1(2(0(1(1(1(0(0(1(2(2(0(1(1(2(0(x1)))))))))))))))))))) -> 2(2(2(0(2(0(1(1(1(2(1(2(1(2(2(0(2(1(1(0(1(2(2(2(x1)))))))))))))))))))))))) 1(0(2(1(0(2(1(2(1(2(0(2(0(0(1(1(1(0(0(2(x1)))))))))))))))))))) -> 2(2(1(2(2(2(2(2(2(2(2(1(0(1(2(0(2(1(0(0(1(1(1(0(x1)))))))))))))))))))))))) 2(1(1(0(2(0(0(2(0(2(2(0(1(0(1(1(2(0(0(0(x1)))))))))))))))))))) -> 2(2(2(2(2(2(0(1(1(1(1(2(2(2(2(2(0(0(1(1(1(0(x1)))))))))))))))))))))) 0(0(0(1(1(1(1(0(2(0(1(1(2(0(2(2(0(2(2(0(0(x1))))))))))))))))))))) -> 2(2(2(2(1(1(1(2(2(0(2(2(2(2(2(1(1(1(1(2(2(2(x1)))))))))))))))))))))) 0(0(0(2(1(0(1(2(2(1(0(1(0(1(0(2(1(2(2(2(0(1(x1)))))))))))))))))))))) -> 0(2(0(2(2(2(2(0(1(0(0(0(0(1(0(2(0(2(2(2(2(2(1(0(1(x1))))))))))))))))))))))))) 2(1(2(0(0(0(1(2(1(1(2(2(0(0(2(2(0(2(2(2(0(1(x1)))))))))))))))))))))) -> 2(2(2(1(0(0(2(2(0(2(0(1(1(2(1(1(1(1(1(1(1(2(1(1(x1)))))))))))))))))))))))) 1(0(0(2(1(0(1(0(2(1(0(1(2(2(1(0(0(0(0(0(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(0(1(0(2(1(1(1(1(2(2(2(2(2(2(1(1(2(0(1(1(x1))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(2(1(1(2(1(2(0(1(2(2(1(0(1(0(0(0(x1)))))))))))))))))))))))) -> 2(2(1(1(0(0(0(1(1(1(0(1(0(2(0(2(2(2(2(2(1(1(1(1(2(x1))))))))))))))))))))))))) 2(2(0(2(2(1(2(2(1(1(0(1(2(1(2(1(2(1(0(0(0(1(1(0(x1)))))))))))))))))))))))) -> 2(0(2(0(2(0(0(1(1(1(0(1(0(0(2(0(1(2(2(1(0(0(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))) 0(1(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(2(0(1(0(1(2(1(0(x1))))))))))))))))))))))))) -> 1(1(1(1(1(1(1(0(2(0(2(1(1(0(0(2(0(2(2(0(1(2(1(2(0(1(x1)))))))))))))))))))))))))) 0(2(2(1(0(2(1(0(0(1(1(0(0(0(2(1(1(0(1(2(0(1(1(0(0(x1))))))))))))))))))))))))) -> 2(1(2(2(0(1(2(2(1(2(2(2(0(0(1(0(0(1(1(1(1(1(2(1(2(0(2(1(x1))))))))))))))))))))))))))))
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