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Derivational Complexity: TRS Innermost pair #487109392
details
property
value
status
complete
benchmark
1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
292.204 seconds
cpu usage
1113.36
user time
1098.69
system time
14.6722
max virtual memory
3.78487E7
max residence set size
1.5052756E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^3))
output
WORST_CASE(Omega(n^1), O(n^3)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^3). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 200 ms] (4) CpxRelTRS (5) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) NarrowingProof [BOTH BOUNDS(ID, ID), 559 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (14) CpxRNTS (15) InliningProof [UPPER BOUND(ID), 422 ms] (16) CpxRNTS (17) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxRNTS (21) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (22) CpxRNTS (23) IntTrsBoundProof [UPPER BOUND(ID), 64 ms] (24) CpxRNTS (25) IntTrsBoundProof [UPPER BOUND(ID), 4 ms] (26) CpxRNTS (27) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 48 ms] (30) CpxRNTS (31) IntTrsBoundProof [UPPER BOUND(ID), 22 ms] (32) CpxRNTS (33) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 292 ms] (36) CpxRNTS (37) IntTrsBoundProof [UPPER BOUND(ID), 126 ms] (38) CpxRNTS (39) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 27 ms] (42) CpxRNTS (43) IntTrsBoundProof [UPPER BOUND(ID), 3 ms] (44) CpxRNTS (45) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 127 ms] (48) CpxRNTS (49) IntTrsBoundProof [UPPER BOUND(ID), 62 ms] (50) CpxRNTS (51) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (52) CpxRNTS (53) IntTrsBoundProof [UPPER BOUND(ID), 1726 ms] (54) CpxRNTS (55) IntTrsBoundProof [UPPER BOUND(ID), 1009 ms] (56) CpxRNTS (57) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (58) CpxRNTS (59) IntTrsBoundProof [UPPER BOUND(ID), 799 ms] (60) CpxRNTS (61) IntTrsBoundProof [UPPER BOUND(ID), 309 ms] (62) CpxRNTS (63) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (64) CpxRNTS (65) IntTrsBoundProof [UPPER BOUND(ID), 308 ms] (66) CpxRNTS (67) IntTrsBoundProof [UPPER BOUND(ID), 87 ms] (68) CpxRNTS (69) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (70) CpxRNTS (71) IntTrsBoundProof [UPPER BOUND(ID), 117 ms] (72) CpxRNTS (73) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (74) CpxRNTS (75) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (76) CpxRNTS (77) IntTrsBoundProof [UPPER BOUND(ID), 87 ms] (78) CpxRNTS (79) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (80) CpxRNTS (81) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (82) CpxRNTS (83) IntTrsBoundProof [UPPER BOUND(ID), 167 ms] (84) CpxRNTS (85) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (86) CpxRNTS (87) FinalProof [FINISHED, 0 ms] (88) BOUNDS(1, n^3) (89) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CpxRelTRS (91) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (92) typed CpxTrs
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