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Derivational Complexity: TRS pair #487103382
details
property
value
status
complete
benchmark
139310.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
292.907 seconds
cpu usage
961.175
user time
953.556
system time
7.61871
max virtual memory
1.8778516E7
max residence set size
1.4746472E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 63 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), 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), 1353 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 27 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), 1677 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 97 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 109 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 16 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 19 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1099 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 7 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 7854 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2381 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2404 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2379 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2383 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6225 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6604 ms] (58) 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(1(2(0(0(3(3(1(2(2(1(1(2(2(3(1(x1)))))))))))))))))) -> 0(3(0(1(2(3(2(2(0(0(1(2(2(3(1(1(0(1(x1)))))))))))))))))) 0(0(0(3(3(1(3(0(2(3(1(1(2(2(2(0(2(0(x1)))))))))))))))))) -> 0(1(0(0(0(1(2(3(2(1(3(3(2(0(2(3(2(0(x1)))))))))))))))))) 0(0(1(0(1(3(2(3(3(2(1(0(1(0(2(2(1(0(x1)))))))))))))))))) -> 0(3(1(1(3(2(2(3(2(0(0(0(0(1(1(2(1(0(x1)))))))))))))))))) 0(1(0(1(0(2(2(0(0(1(3(1(2(3(0(2(2(2(x1)))))))))))))))))) -> 0(1(0(1(1(2(3(1(2(0(0(2(2(3(0(2(0(2(x1)))))))))))))))))) 0(1(0(1(3(1(3(0(1(2(3(0(0(3(1(3(1(1(x1)))))))))))))))))) -> 0(1(1(3(2(3(0(3(1(1(0(0(3(1(0(3(1(1(x1)))))))))))))))))) 0(1(0(2(0(0(0(3(3(0(1(1(2(2(0(0(0(0(x1)))))))))))))))))) -> 0(1(0(1(3(3(0(2(0(2(0(0(1(0(2(0(0(0(x1)))))))))))))))))) 0(1(3(2(2(1(3(1(0(3(1(2(0(0(0(1(0(2(x1)))))))))))))))))) -> 0(1(3(0(2(0(3(0(1(2(2(1(1(1(3(0(0(2(x1)))))))))))))))))) 0(1(3(3(0(3(0(2(3(2(2(1(1(2(1(2(2(2(x1)))))))))))))))))) -> 1(2(3(1(1(0(2(3(0(2(1(2(3(0(2(2(3(2(x1)))))))))))))))))) 0(2(1(2(2(0(0(3(3(0(1(1(1(0(1(0(0(2(x1)))))))))))))))))) -> 0(2(1(0(1(2(0(1(3(0(0(1(2(1(3(0(0(2(x1)))))))))))))))))) 0(2(2(1(3(2(0(1(3(3(3(1(3(0(0(3(2(3(x1)))))))))))))))))) -> 0(2(3(3(2(3(0(1(1(2(3(1(3(0(3(0(2(3(x1)))))))))))))))))) 0(2(2(3(0(2(1(0(1(3(0(1(2(0(0(3(0(1(x1)))))))))))))))))) -> 0(2(3(2(3(1(3(2(0(0(0(0(2(0(0(1(1(1(x1)))))))))))))))))) 0(2(2(3(3(1(1(3(1(3(3(1(3(2(1(1(0(3(x1)))))))))))))))))) -> 0(3(3(2(3(2(3(1(3(1(1(0(1(1(3(2(1(3(x1)))))))))))))))))) 0(3(0(0(0(0(1(3(1(2(3(3(2(1(2(1(0(2(x1)))))))))))))))))) -> 3(1(0(3(3(2(3(2(1(1(0(1(0(0(2(0(0(2(x1)))))))))))))))))) 0(3(1(1(3(1(3(1(2(0(0(0(0(0(3(3(1(1(x1)))))))))))))))))) -> 3(3(0(0(1(1(3(3(2(0(0(1(3(1(0(0(1(1(x1)))))))))))))))))) 0(3(1(3(2(1(1(0(1(3(1(3(1(1(2(2(3(1(x1)))))))))))))))))) -> 3(1(0(3(2(3(2(3(1(1(1(1(3(2(0(1(1(1(x1)))))))))))))))))) 0(3(3(0(3(0(1(2(1(0(3(0(0(2(1(3(1(1(x1)))))))))))))))))) -> 0(0(1(0(0(2(3(3(3(2(3(0(0(1(1(3(1(1(x1)))))))))))))))))) 0(3(3(3(1(0(1(0(3(2(2(1(0(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(1(3(3(1(3(2(0(0(1(0(3(2(0(3(3(0(x1)))))))))))))))))) 0(3(3(3(1(0(2(1(0(3(3(0(3(1(2(2(3(3(x1)))))))))))))))))) -> 0(2(0(0(1(2(3(3(3(2(3(3(0(3(1(1(3(3(x1)))))))))))))))))) 0(3(3(3(3(0(3(2(1(3(0(0(1(3(0(2(2(1(x1)))))))))))))))))) -> 0(3(3(3(1(1(0(0(0(3(2(3(0(2(3(2(3(1(x1)))))))))))))))))) 1(0(0(1(1(1(0(2(3(0(3(2(2(2(3(3(3(0(x1)))))))))))))))))) -> 0(3(2(3(2(3(3(2(0(0(1(1(2(1(1(3(0(0(x1)))))))))))))))))) 1(0(0(2(0(1(0(3(2(2(2(0(1(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(2(0(1(1(0(0(2(3(2(0(0(0(2(3(2(3(x1)))))))))))))))))) 1(0(2(0(0(2(2(1(0(3(1(1(3(3(0(1(1(2(x1)))))))))))))))))) -> 0(2(3(0(2(0(0(1(1(1(1(2(1(1(3(3(0(2(x1)))))))))))))))))) 1(0(2(0(1(0(0(3(3(2(1(2(1(2(1(2(0(1(x1)))))))))))))))))) -> 1(2(1(0(1(2(3(2(0(0(2(3(1(0(2(1(0(1(x1))))))))))))))))))
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