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Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.40 pair #433313358
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
n177.star.cs.uiowa.edu
space
raML
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
58.2969 seconds
cpu usage
223.56
user time
216.452
system time
7.10778
max virtual memory
3.821788E7
max residence set size
6040552.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^2), O(n^2))
output
222.91/58.11 WORST_CASE(Omega(n^2), O(n^2)) 222.91/58.12 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 222.91/58.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 222.91/58.12 222.91/58.12 222.91/58.12 The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^2, n^2). 222.91/58.12 222.91/58.12 (0) CpxRelTRS 222.91/58.12 (1) STerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 182 ms] 222.91/58.12 (2) CpxRelTRS 222.91/58.12 (3) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] 222.91/58.12 (4) CpxWeightedTrs 222.91/58.12 (5) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] 222.91/58.12 (6) CpxTypedWeightedTrs 222.91/58.12 (7) CompletionProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (8) CpxTypedWeightedCompleteTrs 222.91/58.12 (9) NarrowingProof [BOTH BOUNDS(ID, ID), 5 ms] 222.91/58.12 (10) CpxTypedWeightedCompleteTrs 222.91/58.12 (11) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (12) CpxRNTS 222.91/58.12 (13) InliningProof [UPPER BOUND(ID), 729 ms] 222.91/58.12 (14) CpxRNTS 222.91/58.12 (15) SimplificationProof [BOTH BOUNDS(ID, ID), 10 ms] 222.91/58.12 (16) CpxRNTS 222.91/58.12 (17) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 3 ms] 222.91/58.12 (18) CpxRNTS 222.91/58.12 (19) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (20) CpxRNTS 222.91/58.12 (21) IntTrsBoundProof [UPPER BOUND(ID), 756 ms] 222.91/58.12 (22) CpxRNTS 222.91/58.12 (23) IntTrsBoundProof [UPPER BOUND(ID), 134 ms] 222.91/58.12 (24) CpxRNTS 222.91/58.12 (25) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (26) CpxRNTS 222.91/58.12 (27) IntTrsBoundProof [UPPER BOUND(ID), 422 ms] 222.91/58.12 (28) CpxRNTS 222.91/58.12 (29) IntTrsBoundProof [UPPER BOUND(ID), 95 ms] 222.91/58.12 (30) CpxRNTS 222.91/58.12 (31) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (32) CpxRNTS 222.91/58.12 (33) IntTrsBoundProof [UPPER BOUND(ID), 431 ms] 222.91/58.12 (34) CpxRNTS 222.91/58.12 (35) IntTrsBoundProof [UPPER BOUND(ID), 35 ms] 222.91/58.12 (36) CpxRNTS 222.91/58.12 (37) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (38) CpxRNTS 222.91/58.12 (39) IntTrsBoundProof [UPPER BOUND(ID), 1176 ms] 222.91/58.12 (40) CpxRNTS 222.91/58.12 (41) IntTrsBoundProof [UPPER BOUND(ID), 266 ms] 222.91/58.12 (42) CpxRNTS 222.91/58.12 (43) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (44) CpxRNTS 222.91/58.12 (45) IntTrsBoundProof [UPPER BOUND(ID), 129 ms] 222.91/58.12 (46) CpxRNTS 222.91/58.12 (47) IntTrsBoundProof [UPPER BOUND(ID), 53 ms] 222.91/58.12 (48) CpxRNTS 222.91/58.12 (49) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (50) CpxRNTS 222.91/58.12 (51) IntTrsBoundProof [UPPER BOUND(ID), 672 ms] 222.91/58.12 (52) CpxRNTS 222.91/58.12 (53) IntTrsBoundProof [UPPER BOUND(ID), 117 ms] 222.91/58.12 (54) CpxRNTS 222.91/58.12 (55) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (56) CpxRNTS 222.91/58.12 (57) IntTrsBoundProof [UPPER BOUND(ID), 169 ms] 222.91/58.12 (58) CpxRNTS 222.91/58.12 (59) IntTrsBoundProof [UPPER BOUND(ID), 52 ms] 222.91/58.12 (60) CpxRNTS 222.91/58.12 (61) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (62) CpxRNTS 222.91/58.12 (63) IntTrsBoundProof [UPPER BOUND(ID), 261 ms] 222.91/58.12 (64) CpxRNTS 222.91/58.12 (65) IntTrsBoundProof [UPPER BOUND(ID), 44 ms] 222.91/58.12 (66) CpxRNTS 222.91/58.12 (67) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (68) CpxRNTS 222.91/58.12 (69) IntTrsBoundProof [UPPER BOUND(ID), 300 ms] 222.91/58.12 (70) CpxRNTS 222.91/58.12 (71) IntTrsBoundProof [UPPER BOUND(ID), 75 ms] 222.91/58.12 (72) CpxRNTS 222.91/58.12 (73) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (74) CpxRNTS 222.91/58.12 (75) IntTrsBoundProof [UPPER BOUND(ID), 618 ms] 222.91/58.12 (76) CpxRNTS 222.91/58.12 (77) IntTrsBoundProof [UPPER BOUND(ID), 128 ms] 222.91/58.12 (78) CpxRNTS 222.91/58.12 (79) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (80) CpxRNTS 222.91/58.12 (81) IntTrsBoundProof [UPPER BOUND(ID), 411 ms] 222.91/58.12 (82) CpxRNTS 222.91/58.12 (83) IntTrsBoundProof [UPPER BOUND(ID), 43 ms] 222.91/58.12 (84) CpxRNTS 222.91/58.12 (85) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (86) CpxRNTS 222.91/58.12 (87) IntTrsBoundProof [UPPER BOUND(ID), 338 ms] 222.91/58.12 (88) CpxRNTS 222.91/58.12 (89) IntTrsBoundProof [UPPER BOUND(ID), 134 ms] 222.91/58.12 (90) CpxRNTS 222.91/58.12 (91) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 222.91/58.12 (92) CpxRNTS
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