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Derivational Complexity: TRS pair #487103564
details
property
value
status
complete
benchmark
139025.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
294.621 seconds
cpu usage
887.896
user time
881.074
system time
6.82146
max virtual memory
1.8744808E7
max residence set size
1.4789744E7
stage attributes
key
value
starexec-result
KILLED
output
KILLED proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 36 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 0 ms] (10) typed CpxTrs (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (12) TRS for Loop Detection (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1397 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 66 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), 1589 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 51 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 78 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 24 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1070 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 9 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 7307 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2141 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2130 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2180 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2196 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5586 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6896 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(0(1(0(1(2(2(2(0(3(2(0(2(3(0(3(x1)))))))))))))))))) -> 0(0(0(2(2(1(2(0(0(2(3(2(1(3(0(0(0(3(x1)))))))))))))))))) 0(0(0(0(3(2(0(3(2(3(2(2(1(0(0(0(1(3(x1)))))))))))))))))) -> 0(0(3(2(1(0(3(0(0(0(2(3(2(2(0(0(1(3(x1)))))))))))))))))) 0(0(0(1(2(0(1(3(2(1(2(2(0(0(3(2(1(1(x1)))))))))))))))))) -> 0(0(1(0(1(3(0(2(0(2(1(3(1(2(0(2(2(1(x1)))))))))))))))))) 0(0(0(3(0(1(3(2(3(2(3(0(2(2(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(2(0(0(3(0(2(3(0(0(2(3(0(2(1(0(x1)))))))))))))))))) 0(0(1(1(3(0(0(0(0(3(3(0(0(2(3(2(0(3(x1)))))))))))))))))) -> 0(0(0(0(2(2(0(3(3(1(3(1(0(3(0(0(0(3(x1)))))))))))))))))) 0(0(1(2(0(3(3(0(1(2(1(1(2(3(3(3(1(2(x1)))))))))))))))))) -> 0(1(0(2(3(1(3(1(3(2(1(1(3(0(2(3(0(2(x1)))))))))))))))))) 0(0(3(2(1(2(0(3(2(0(2(0(3(3(2(2(1(0(x1)))))))))))))))))) -> 0(0(0(2(2(2(3(2(3(3(2(0(1(3(0(2(1(0(x1)))))))))))))))))) 0(0(3(2(3(3(0(0(0(0(2(1(2(2(2(0(1(0(x1)))))))))))))))))) -> 0(0(2(0(2(2(2(1(0(3(0(3(2(0(3(0(1(0(x1)))))))))))))))))) 0(1(0(2(3(1(3(0(2(0(1(2(2(3(3(3(3(3(x1)))))))))))))))))) -> 3(2(0(3(1(1(0(3(1(2(3(0(2(2(0(3(3(3(x1)))))))))))))))))) 0(1(0(3(0(1(2(2(2(1(2(0(1(0(0(2(2(2(x1)))))))))))))))))) -> 0(2(2(2(1(0(0(1(2(1(0(2(0(0(2(2(3(1(x1)))))))))))))))))) 0(1(0(3(2(0(1(1(2(2(1(1(2(3(3(1(0(3(x1)))))))))))))))))) -> 3(2(1(1(1(0(2(0(3(0(2(1(3(1(1(2(0(3(x1)))))))))))))))))) 0(1(1(0(0(2(0(1(2(1(2(0(2(2(3(3(1(3(x1)))))))))))))))))) -> 0(1(0(2(3(1(0(2(1(2(0(0(2(3(2(1(1(3(x1)))))))))))))))))) 0(1(1(1(3(3(0(1(2(0(2(1(2(1(2(3(0(0(x1)))))))))))))))))) -> 3(1(1(0(2(0(1(2(2(1(0(3(1(3(1(0(2(0(x1)))))))))))))))))) 0(1(1(3(0(1(2(1(0(1(2(0(3(0(1(1(2(1(x1)))))))))))))))))) -> 0(1(1(0(1(0(1(0(1(1(2(1(2(3(0(3(2(1(x1)))))))))))))))))) 0(1(2(0(1(0(1(0(1(2(1(3(2(0(2(1(3(2(x1)))))))))))))))))) -> 0(1(2(1(2(3(2(0(3(0(1(1(1(0(2(0(2(1(x1)))))))))))))))))) 0(1(2(1(3(1(3(3(2(1(1(1(2(2(3(2(1(1(x1)))))))))))))))))) -> 0(2(3(3(1(1(2(2(1(2(1(1(3(2(1(3(1(1(x1)))))))))))))))))) 0(1(3(0(0(3(2(2(3(2(0(3(1(0(0(0(0(0(x1)))))))))))))))))) -> 0(2(0(3(1(0(2(1(3(3(0(3(0(0(2(0(0(0(x1)))))))))))))))))) 0(2(2(3(1(0(1(2(3(3(3(1(1(1(0(3(2(0(x1)))))))))))))))))) -> 3(1(2(0(0(3(1(0(3(2(2(3(1(3(1(1(2(0(x1)))))))))))))))))) 0(2(3(0(0(0(1(3(0(0(0(1(1(2(3(3(2(1(x1)))))))))))))))))) -> 3(2(3(0(0(3(0(2(1(0(0(3(1(2(1(0(0(1(x1)))))))))))))))))) 0(3(0(2(1(0(1(2(0(1(2(3(1(3(1(2(0(1(x1)))))))))))))))))) -> 0(0(1(0(3(1(3(2(1(3(0(1(1(2(2(0(2(1(x1)))))))))))))))))) 0(3(1(0(1(3(0(1(2(3(2(0(0(3(0(0(0(2(x1)))))))))))))))))) -> 0(3(3(0(0(1(0(0(2(0(3(1(2(0(0(3(1(2(x1)))))))))))))))))) 0(3(2(0(1(3(0(3(2(0(1(2(1(0(2(1(0(2(x1)))))))))))))))))) -> 0(0(2(0(1(2(3(2(3(2(0(0(1(1(3(1(0(2(x1)))))))))))))))))) 0(3(2(0(3(0(2(1(0(2(2(0(3(0(2(2(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(0(2(0(0(2(2(2(3(0(3(1(0(x1))))))))))))))))))
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