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Runtime Complexity: TRS Innermost pair #487111650
details
property
value
status
complete
benchmark
quicksort.raml.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
raML
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
57.6451 seconds
cpu usage
221.868
user time
215.583
system time
6.28552
max virtual memory
3.8686412E7
max residence set size
5913792.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^2), O(n^2))
output
WORST_CASE(Omega(n^2), O(n^2)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^2, n^2). (0) CpxRelTRS (1) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 159 ms] (2) CpxRelTRS (3) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (4) CpxWeightedTrs (5) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxTypedWeightedTrs (7) CompletionProof [UPPER BOUND(ID), 10 ms] (8) CpxTypedWeightedCompleteTrs (9) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (12) CpxRNTS (13) InliningProof [UPPER BOUND(ID), 961 ms] (14) CpxRNTS (15) SimplificationProof [BOTH BOUNDS(ID, ID), 4 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), 573 ms] (22) CpxRNTS (23) IntTrsBoundProof [UPPER BOUND(ID), 202 ms] (24) CpxRNTS (25) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (26) CpxRNTS (27) IntTrsBoundProof [UPPER BOUND(ID), 332 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 23 ms] (30) CpxRNTS (31) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (32) CpxRNTS (33) IntTrsBoundProof [UPPER BOUND(ID), 289 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 34 ms] (36) CpxRNTS (37) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (38) CpxRNTS (39) IntTrsBoundProof [UPPER BOUND(ID), 943 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 205 ms] (42) CpxRNTS (43) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (44) CpxRNTS (45) IntTrsBoundProof [UPPER BOUND(ID), 47 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] (48) CpxRNTS (49) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (50) CpxRNTS (51) IntTrsBoundProof [UPPER BOUND(ID), 431 ms] (52) CpxRNTS (53) IntTrsBoundProof [UPPER BOUND(ID), 76 ms] (54) CpxRNTS (55) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (56) CpxRNTS (57) IntTrsBoundProof [UPPER BOUND(ID), 46 ms] (58) CpxRNTS (59) IntTrsBoundProof [UPPER BOUND(ID), 1 ms] (60) CpxRNTS (61) ResultPropagationProof [UPPER BOUND(ID), 3 ms] (62) CpxRNTS (63) IntTrsBoundProof [UPPER BOUND(ID), 238 ms] (64) CpxRNTS (65) IntTrsBoundProof [UPPER BOUND(ID), 64 ms] (66) CpxRNTS (67) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (68) CpxRNTS (69) IntTrsBoundProof [UPPER BOUND(ID), 230 ms] (70) CpxRNTS (71) IntTrsBoundProof [UPPER BOUND(ID), 52 ms] (72) CpxRNTS (73) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (74) CpxRNTS (75) IntTrsBoundProof [UPPER BOUND(ID), 415 ms] (76) CpxRNTS (77) IntTrsBoundProof [UPPER BOUND(ID), 108 ms] (78) CpxRNTS (79) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (80) CpxRNTS (81) IntTrsBoundProof [UPPER BOUND(ID), 331 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), 257 ms] (88) CpxRNTS (89) IntTrsBoundProof [UPPER BOUND(ID), 93 ms] (90) CpxRNTS (91) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (92) CpxRNTS
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