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Derivational Complexity: TRS Innermost pair #487104302
details
property
value
status
complete
benchmark
#3.6b.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
293.511 seconds
cpu usage
1145.48
user time
1134.25
system time
11.2302
max virtual memory
3.8203028E7
max residence set size
1.4741548E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^4))
output
WORST_CASE(Omega(n^1), O(n^4)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^4). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 216 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), 10.3 s] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (14) CpxRNTS (15) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (16) CpxRNTS (17) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (20) CpxRNTS (21) IntTrsBoundProof [UPPER BOUND(ID), 105 ms] (22) CpxRNTS (23) IntTrsBoundProof [UPPER BOUND(ID), 5 ms] (24) CpxRNTS (25) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (26) CpxRNTS (27) IntTrsBoundProof [UPPER BOUND(ID), 283 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 157 ms] (30) CpxRNTS (31) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (32) CpxRNTS (33) IntTrsBoundProof [UPPER BOUND(ID), 66 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 1 ms] (36) CpxRNTS (37) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (38) CpxRNTS (39) IntTrsBoundProof [UPPER BOUND(ID), 16 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 31 ms] (42) CpxRNTS (43) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (44) CpxRNTS (45) IntTrsBoundProof [UPPER BOUND(ID), 769 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 168 ms] (48) CpxRNTS (49) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (50) CpxRNTS (51) IntTrsBoundProof [UPPER BOUND(ID), 2182 ms] (52) CpxRNTS (53) IntTrsBoundProof [UPPER BOUND(ID), 167 ms] (54) CpxRNTS (55) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (56) CpxRNTS (57) IntTrsBoundProof [UPPER BOUND(ID), 583 ms] (58) CpxRNTS (59) IntTrsBoundProof [UPPER BOUND(ID), 287 ms] (60) CpxRNTS (61) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (62) CpxRNTS (63) IntTrsBoundProof [UPPER BOUND(ID), 258 ms] (64) CpxRNTS (65) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] (66) CpxRNTS (67) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (68) CpxRNTS (69) IntTrsBoundProof [UPPER BOUND(ID), 171 ms] (70) CpxRNTS (71) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (72) CpxRNTS (73) ResultPropagationProof [UPPER BOUND(ID), 1 ms] (74) CpxRNTS (75) IntTrsBoundProof [UPPER BOUND(ID), 209 ms] (76) CpxRNTS (77) IntTrsBoundProof [UPPER BOUND(ID), 3 ms] (78) CpxRNTS (79) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (80) CpxRNTS (81) IntTrsBoundProof [UPPER BOUND(ID), 228 ms] (82) CpxRNTS (83) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (84) CpxRNTS (85) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (86) CpxRNTS (87) IntTrsBoundProof [UPPER BOUND(ID), 107 ms] (88) CpxRNTS (89) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (90) CpxRNTS (91) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (92) CpxRNTS
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