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Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.40 pair #433313711
details
property
value
status
complete
benchmark
thiemann18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n044.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
291.734 seconds
cpu usage
1124.19
user time
1109.14
system time
15.0529
max virtual memory
5.6020288E7
max residence set size
1.5162928E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^3))
output
1123.63/291.55 WORST_CASE(Omega(n^1), O(n^3)) 1123.63/291.57 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 1123.63/291.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 1123.63/291.57 1123.63/291.57 1123.63/291.57 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^3). 1123.63/291.57 1123.63/291.57 (0) CpxTRS 1123.63/291.57 (1) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] 1123.63/291.57 (2) CpxWeightedTrs 1123.63/291.57 (3) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] 1123.63/291.57 (4) CpxTypedWeightedTrs 1123.63/291.57 (5) CompletionProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (6) CpxTypedWeightedCompleteTrs 1123.63/291.57 (7) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] 1123.63/291.57 (8) CpxTypedWeightedCompleteTrs 1123.63/291.57 (9) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 6 ms] 1123.63/291.57 (10) CpxRNTS 1123.63/291.57 (11) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] 1123.63/291.57 (12) CpxRNTS 1123.63/291.57 (13) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] 1123.63/291.57 (14) CpxRNTS 1123.63/291.57 (15) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (16) CpxRNTS 1123.63/291.57 (17) IntTrsBoundProof [UPPER BOUND(ID), 183 ms] 1123.63/291.57 (18) CpxRNTS 1123.63/291.57 (19) IntTrsBoundProof [UPPER BOUND(ID), 15 ms] 1123.63/291.57 (20) CpxRNTS 1123.63/291.57 (21) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (22) CpxRNTS 1123.63/291.57 (23) IntTrsBoundProof [UPPER BOUND(ID), 293 ms] 1123.63/291.57 (24) CpxRNTS 1123.63/291.57 (25) IntTrsBoundProof [UPPER BOUND(ID), 166 ms] 1123.63/291.57 (26) CpxRNTS 1123.63/291.57 (27) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (28) CpxRNTS 1123.63/291.57 (29) IntTrsBoundProof [UPPER BOUND(ID), 503 ms] 1123.63/291.57 (30) CpxRNTS 1123.63/291.57 (31) IntTrsBoundProof [UPPER BOUND(ID), 186 ms] 1123.63/291.57 (32) CpxRNTS 1123.63/291.57 (33) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (34) CpxRNTS 1123.63/291.57 (35) IntTrsBoundProof [UPPER BOUND(ID), 160 ms] 1123.63/291.57 (36) CpxRNTS 1123.63/291.57 (37) IntTrsBoundProof [UPPER BOUND(ID), 74 ms] 1123.63/291.57 (38) CpxRNTS 1123.63/291.57 (39) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (40) CpxRNTS 1123.63/291.57 (41) IntTrsBoundProof [UPPER BOUND(ID), 160 ms] 1123.63/291.57 (42) CpxRNTS 1123.63/291.57 (43) IntTrsBoundProof [UPPER BOUND(ID), 34 ms] 1123.63/291.57 (44) CpxRNTS 1123.63/291.57 (45) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (46) CpxRNTS 1123.63/291.57 (47) IntTrsBoundProof [UPPER BOUND(ID), 1044 ms] 1123.63/291.57 (48) CpxRNTS 1123.63/291.57 (49) IntTrsBoundProof [UPPER BOUND(ID), 335 ms] 1123.63/291.57 (50) CpxRNTS 1123.63/291.57 (51) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (52) CpxRNTS 1123.63/291.57 (53) IntTrsBoundProof [UPPER BOUND(ID), 2077 ms] 1123.63/291.57 (54) CpxRNTS 1123.63/291.57 (55) IntTrsBoundProof [UPPER BOUND(ID), 522 ms] 1123.63/291.57 (56) CpxRNTS 1123.63/291.57 (57) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (58) CpxRNTS 1123.63/291.57 (59) IntTrsBoundProof [UPPER BOUND(ID), 5926 ms] 1123.63/291.57 (60) CpxRNTS 1123.63/291.57 (61) IntTrsBoundProof [UPPER BOUND(ID), 1671 ms] 1123.63/291.57 (62) CpxRNTS 1123.63/291.57 (63) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (64) CpxRNTS 1123.63/291.57 (65) IntTrsBoundProof [UPPER BOUND(ID), 669 ms] 1123.63/291.57 (66) CpxRNTS 1123.63/291.57 (67) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] 1123.63/291.57 (68) CpxRNTS 1123.63/291.57 (69) FinalProof [FINISHED, 0 ms] 1123.63/291.57 (70) BOUNDS(1, n^3) 1123.63/291.57 (71) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] 1123.63/291.57 (72) CpxTRS 1123.63/291.57 (73) SlicingProof [LOWER BOUND(ID), 0 ms] 1123.63/291.57 (74) CpxTRS 1123.63/291.57 (75) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] 1123.63/291.57 (76) typed CpxTrs 1123.63/291.57 (77) OrderProof [LOWER BOUND(ID), 5 ms] 1123.63/291.57 (78) typed CpxTrs 1123.63/291.57 (79) RewriteLemmaProof [LOWER BOUND(ID), 332 ms] 1123.63/291.57 (80) BEST 1123.63/291.57 (81) proven lower bound 1123.63/291.57 (82) LowerBoundPropagationProof [FINISHED, 0 ms] 1123.63/291.57 (83) BOUNDS(n^1, INF) 1123.63/291.57 (84) typed CpxTrs 1123.63/291.57 (85) RewriteLemmaProof [LOWER BOUND(ID), 31 ms] 1123.63/291.57 (86) typed CpxTrs 1123.63/291.57 (87) RewriteLemmaProof [LOWER BOUND(ID), 52 ms] 1123.63/291.57 (88) typed CpxTrs 1123.63/291.57 1123.63/291.57 1123.63/291.57 ---------------------------------------- 1123.63/291.57
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