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Derivational Complexity: TRS Innermost pair #487107608
details
property
value
status
complete
benchmark
s6.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Mixed_SRS
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
292.865 seconds
cpu usage
1124.08
user time
1109.4
system time
14.6843
max virtual memory
3.965448E7
max residence set size
1.5159972E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^3).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), 22 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), 283 ms] (14) CpxTypedWeightedCompleteTrs (15) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 47 ms] (16) CpxRNTS (17) InliningProof [UPPER BOUND(ID), 3213 ms] (18) CpxRNTS (19) SimplificationProof [BOTH BOUNDS(ID, ID), 24 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), 282 ms] (26) CpxRNTS (27) IntTrsBoundProof [UPPER BOUND(ID), 37 ms] (28) CpxRNTS (29) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (30) CpxRNTS (31) IntTrsBoundProof [UPPER BOUND(ID), 225 ms] (32) CpxRNTS (33) IntTrsBoundProof [UPPER BOUND(ID), 4 ms] (34) CpxRNTS (35) ResultPropagationProof [UPPER BOUND(ID), 13 ms] (36) CpxRNTS (37) IntTrsBoundProof [UPPER BOUND(ID), 729 ms] (38) CpxRNTS (39) IntTrsBoundProof [UPPER BOUND(ID), 94 ms] (40) CpxRNTS (41) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (42) CpxRNTS (43) IntTrsBoundProof [UPPER BOUND(ID), 849 ms] (44) CpxRNTS (45) IntTrsBoundProof [UPPER BOUND(ID), 141 ms] (46) CpxRNTS (47) ResultPropagationProof [UPPER BOUND(ID), 11 ms] (48) CpxRNTS (49) IntTrsBoundProof [UPPER BOUND(ID), 851 ms] (50) CpxRNTS (51) IntTrsBoundProof [UPPER BOUND(ID), 128 ms] (52) CpxRNTS (53) ResultPropagationProof [UPPER BOUND(ID), 26 ms] (54) CpxRNTS (55) IntTrsBoundProof [UPPER BOUND(ID), 603 ms] (56) CpxRNTS (57) IntTrsBoundProof [UPPER BOUND(ID), 331 ms] (58) CpxRNTS (59) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (60) CpxRNTS (61) IntTrsBoundProof [UPPER BOUND(ID), 308 ms] (62) CpxRNTS (63) IntTrsBoundProof [UPPER BOUND(ID), 300 ms] (64) CpxRNTS (65) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (66) CpxRNTS (67) IntTrsBoundProof [UPPER BOUND(ID), 276 ms] (68) CpxRNTS (69) IntTrsBoundProof [UPPER BOUND(ID), 148 ms] (70) CpxRNTS (71) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (72) CpxRNTS (73) IntTrsBoundProof [UPPER BOUND(ID), 782 ms] (74) CpxRNTS (75) IntTrsBoundProof [UPPER BOUND(ID), 181 ms] (76) CpxRNTS (77) ResultPropagationProof [UPPER BOUND(ID), 8 ms] (78) CpxRNTS (79) IntTrsBoundProof [UPPER BOUND(ID), 1414 ms] (80) CpxRNTS (81) IntTrsBoundProof [UPPER BOUND(ID), 494 ms] (82) CpxRNTS (83) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (84) CpxRNTS (85) IntTrsBoundProof [UPPER BOUND(ID), 2232 ms] (86) CpxRNTS (87) IntTrsBoundProof [UPPER BOUND(ID), 770 ms] (88) CpxRNTS (89) ResultPropagationProof [UPPER BOUND(ID), 2 ms] (90) CpxRNTS (91) IntTrsBoundProof [UPPER BOUND(ID), 801 ms] (92) CpxRNTS
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