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Derivational Complexity: TRS pair #487103062
details
property
value
status
complete
benchmark
149713.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.19 seconds
cpu usage
1165.18
user time
1159.79
system time
5.39479
max virtual memory
1.9195092E7
max residence set size
6342084.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 8 ms] (8) CpxRelTRS (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 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), 3859 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 68 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 19 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1503 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 124 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 102 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 13 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 11 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 3061 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), 22.4 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7210 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7202 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7201 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(1(0(1(2(0(2(2(x1)))))))) -> 1(2(0(2(0(1(2(0(x1)))))))) 1(2(2(0(1(1(2(2(x1)))))))) -> 1(2(1(2(0(2(1(2(x1)))))))) 2(2(0(0(1(0(1(0(0(x1))))))))) -> 1(0(1(1(2(1(2(1(2(0(x1)))))))))) 2(1(0(1(1(0(2(0(0(1(x1)))))))))) -> 2(0(1(2(1(1(1(2(0(0(1(x1))))))))))) 0(2(0(0(0(1(0(0(0(1(2(x1))))))))))) -> 1(0(2(0(2(1(0(0(1(2(1(2(x1)))))))))))) 0(0(0(1(1(2(0(0(2(1(1(1(0(x1))))))))))))) -> 1(1(0(2(2(2(1(1(2(2(2(1(1(1(x1)))))))))))))) 0(0(1(2(0(2(2(0(0(2(2(0(2(x1))))))))))))) -> 1(2(2(1(0(2(0(2(1(2(1(2(1(1(x1)))))))))))))) 0(0(1(0(1(0(0(1(1(0(0(0(1(0(x1)))))))))))))) -> 2(2(1(2(1(1(2(1(1(1(2(1(2(0(2(0(2(x1))))))))))))))))) 0(2(2(0(0(1(2(2(0(0(2(0(2(2(x1)))))))))))))) -> 0(1(0(2(1(2(1(2(2(1(2(1(0(2(0(x1))))))))))))))) 2(2(0(2(0(0(0(2(1(0(0(2(1(0(0(x1))))))))))))))) -> 2(2(1(2(1(2(2(1(2(0(0(0(2(2(0(0(x1)))))))))))))))) 2(2(2(2(0(1(0(0(1(0(1(2(0(1(0(0(2(x1))))))))))))))))) -> 1(2(1(0(2(1(2(2(0(1(0(1(2(1(1(1(0(0(x1)))))))))))))))))) 1(0(1(2(2(0(1(0(0(2(2(2(0(2(2(1(1(2(0(x1))))))))))))))))))) -> 2(0(0(2(0(0(2(2(0(1(1(2(1(0(2(2(2(1(1(x1))))))))))))))))))) 1(0(0(2(1(2(1(0(2(2(0(0(2(2(2(0(2(0(0(0(x1)))))))))))))))))))) -> 2(2(2(1(2(1(2(1(0(2(1(2(0(2(1(1(1(1(2(0(2(2(x1)))))))))))))))))))))) 2(0(2(2(2(2(2(2(1(2(1(0(0(2(2(2(2(0(1(2(x1)))))))))))))))))))) -> 2(1(2(1(1(2(2(1(2(2(2(1(1(2(1(2(0(1(1(2(0(x1))))))))))))))))))))) 2(1(2(1(1(2(2(0(2(2(1(2(2(1(1(1(2(1(0(0(1(x1))))))))))))))))))))) -> 2(2(0(1(0(2(2(0(1(2(2(2(1(1(1(2(1(1(2(1(1(x1))))))))))))))))))))) 2(2(2(1(0(1(0(2(2(0(1(2(2(0(0(1(1(1(0(1(1(x1))))))))))))))))))))) -> 1(0(0(1(2(2(2(1(0(0(0(0(0(0(1(0(1(2(1(2(1(1(x1)))))))))))))))))))))) 1(0(0(1(2(2(2(0(0(0(1(0(1(1(0(0(2(0(0(0(0(0(x1)))))))))))))))))))))) -> 2(1(2(1(2(0(2(0(2(1(2(1(1(0(0(1(1(1(0(1(1(2(2(2(x1)))))))))))))))))))))))) 0(2(0(2(2(1(1(0(0(2(0(0(1(0(2(2(1(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 2(0(2(2(2(1(2(2(2(0(2(1(2(1(0(1(2(2(0(1(0(0(2(2(x1)))))))))))))))))))))))) 0(0(0(2(2(0(1(1(2(0(1(1(0(2(2(1(0(1(2(2(1(0(0(1(x1)))))))))))))))))))))))) -> 1(1(0(1(0(1(1(1(2(1(2(1(1(2(0(0(2(0(1(0(2(2(1(2(1(x1))))))))))))))))))))))))) 2(0(0(2(2(1(0(1(0(1(1(1(0(2(0(2(1(2(1(0(0(1(1(1(x1)))))))))))))))))))))))) -> 2(2(0(1(0(1(2(1(0(2(1(1(0(0(2(2(0(1(0(2(1(2(1(1(1(x1))))))))))))))))))))))))) 2(2(0(2(2(0(0(2(2(1(1(2(0(0(0(1(2(1(0(2(2(0(2(2(x1)))))))))))))))))))))))) -> 1(0(2(1(2(1(2(2(2(0(1(2(1(2(1(2(2(1(0(1(2(0(1(2(2(2(x1)))))))))))))))))))))))))) 0(1(1(1(0(2(1(1(1(1(2(2(2(0(0(1(1(0(1(0(0(0(1(0(2(x1))))))))))))))))))))))))) -> 0(0(1(2(0(0(2(1(2(2(2(1(1(1(2(1(2(1(2(0(1(2(1(0(2(1(2(1(x1)))))))))))))))))))))))))))) 0(0(2(2(1(0(2(1(1(0(0(0(2(1(1(0(2(0(1(1(1(2(0(2(2(0(x1)))))))))))))))))))))))))) -> 1(2(1(2(1(1(2(1(1(2(1(0(2(2(0(1(0(0(0(2(0(0(1(2(0(2(1(x1))))))))))))))))))))))))))) 0(0(1(0(1(2(1(2(0(0(2(0(1(0(0(2(0(1(1(2(1(0(2(2(0(0(1(x1))))))))))))))))))))))))))) -> 2(2(2(0(0(1(1(1(2(2(0(1(0(2(1(2(2(2(1(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))) 2(1(0(0(0(1(0(2(2(1(1(1(2(2(2(2(2(1(1(0(1(0(1(1(2(0(0(x1))))))))))))))))))))))))))) -> 1(1(1(1(2(2(2(2(0(1(0(2(0(1(2(2(2(1(2(1(1(2(1(1(2(0(1(1(x1)))))))))))))))))))))))))))) 0(2(1(2(0(1(1(0(0(0(0(0(2(2(1(2(0(0(1(2(1(2(0(1(0(1(2(2(x1)))))))))))))))))))))))))))) -> 1(2(1(1(1(0(1(2(0(2(1(2(1(2(1(0(2(0(1(0(0(2(1(1(2(1(1(0(2(x1))))))))))))))))))))))))))))) 0(1(1(1(1(2(0(1(1(1(2(1(2(0(1(0(2(0(1(0(1(1(0(1(2(1(0(0(0(x1))))))))))))))))))))))))))))) -> 1(2(0(0(1(2(1(2(0(2(1(0(1(2(1(2(0(2(1(2(1(0(1(2(1(0(1(1(2(0(1(x1))))))))))))))))))))))))))))))) 1(0(1(2(0(1(1(0(2(0(0(1(1(2(2(0(1(1(1(1(1(2(1(0(1(0(2(0(2(x1))))))))))))))))))))))))))))) -> 2(0(0(2(0(1(0(2(0(0(0(0(1(1(2(1(0(1(2(1(1(2(1(2(0(2(2(0(0(1(x1)))))))))))))))))))))))))))))) 2(1(0(2(1(1(2(1(0(0(2(0(1(2(2(0(0(1(1(0(2(0(0(2(1(0(1(2(2(x1))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(1(2(0(1(1(2(0(1(1(2(1(2(1(0(0(1(0(0(2(2(1(x1))))))))))))))))))))))))))))))
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