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Derivational Complexity: TRS Innermost pair #487105562
details
property
value
status
complete
benchmark
2.61.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
292.044 seconds
cpu usage
1137.19
user time
1124.89
system time
12.2978
max virtual memory
3.8116108E7
max residence set size
1.5053492E7
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^3))
output
WORST_CASE(?, 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^3). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 268 ms] (4) CpxRelTRS (5) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (6) CpxRelTRS (7) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxWeightedTrs (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxTypedWeightedTrs (11) CompletionProof [UPPER BOUND(ID), 0 ms] (12) CpxTypedWeightedCompleteTrs (13) NarrowingProof [BOTH BOUNDS(ID, ID), 4007 ms] (14) CpxTypedWeightedCompleteTrs (15) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (16) CpxRNTS (17) InliningProof [UPPER BOUND(ID), 387 ms] (18) CpxRNTS (19) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxRNTS (21) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxRNTS (23) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (24) CpxRNTS (25) IntTrsBoundProof [UPPER BOUND(ID), 292 ms] (26) CpxRNTS (27) IntTrsBoundProof [UPPER BOUND(ID), 137 ms] (28) CpxRNTS (29) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (30) CpxRNTS (31) IntTrsBoundProof [UPPER BOUND(ID), 16 ms] (32) CpxRNTS (33) IntTrsBoundProof [UPPER BOUND(ID), 23 ms] (34) CpxRNTS (35) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (36) CpxRNTS (37) IntTrsBoundProof [UPPER BOUND(ID), 211 ms] (38) CpxRNTS (39) IntTrsBoundProof [UPPER BOUND(ID), 53 ms] (40) CpxRNTS (41) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (42) CpxRNTS (43) IntTrsBoundProof [UPPER BOUND(ID), 178 ms] (44) CpxRNTS (45) IntTrsBoundProof [UPPER BOUND(ID), 44 ms] (46) CpxRNTS (47) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (48) CpxRNTS (49) IntTrsBoundProof [UPPER BOUND(ID), 159 ms] (50) CpxRNTS (51) IntTrsBoundProof [UPPER BOUND(ID), 45 ms] (52) CpxRNTS (53) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (54) CpxRNTS (55) IntTrsBoundProof [UPPER BOUND(ID), 794 ms] (56) CpxRNTS (57) IntTrsBoundProof [UPPER BOUND(ID), 299 ms] (58) CpxRNTS (59) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (60) CpxRNTS (61) IntTrsBoundProof [UPPER BOUND(ID), 2769 ms] (62) CpxRNTS (63) IntTrsBoundProof [UPPER BOUND(ID), 1238 ms] (64) CpxRNTS (65) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (66) CpxRNTS (67) IntTrsBoundProof [UPPER BOUND(ID), 418 ms] (68) CpxRNTS (69) IntTrsBoundProof [UPPER BOUND(ID), 160 ms] (70) CpxRNTS (71) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (72) CpxRNTS (73) IntTrsBoundProof [UPPER BOUND(ID), 167 ms] (74) CpxRNTS (75) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] (76) CpxRNTS (77) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (78) CpxRNTS (79) IntTrsBoundProof [UPPER BOUND(ID), 229 ms] (80) CpxRNTS (81) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (82) CpxRNTS (83) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (84) CpxRNTS (85) IntTrsBoundProof [UPPER BOUND(ID), 148 ms] (86) CpxRNTS (87) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] (88) CpxRNTS (89) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (90) CpxRNTS (91) IntTrsBoundProof [UPPER BOUND(ID), 647 ms] (92) CpxRNTS
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