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Runtime_Complexity_Full_Rewriting 2019-04-01 06.11 pair #433307942
details
property
value
status
complete
benchmark
recursion-5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n119.star.cs.uiowa.edu
space
TCT_12
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
291.827 seconds
cpu usage
394.655
user time
390.336
system time
4.31949
max virtual memory
3.796656E7
max residence set size
5754920.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^5))
output
394.46/291.75 WORST_CASE(Omega(n^1), O(n^5)) 394.46/291.76 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 394.46/291.76 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 394.46/291.76 394.46/291.76 394.46/291.76 The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, n^5). 394.46/291.76 394.46/291.76 (0) CpxTRS 394.46/291.76 (1) RcToIrcProof [BOTH BOUNDS(ID, ID), 6 ms] 394.46/291.76 (2) CpxTRS 394.46/291.76 (3) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] 394.46/291.76 (4) CpxWeightedTrs 394.46/291.76 (5) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] 394.46/291.76 (6) CpxTypedWeightedTrs 394.46/291.76 (7) CompletionProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (8) CpxTypedWeightedCompleteTrs 394.46/291.76 (9) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] 394.46/291.76 (10) CpxTypedWeightedCompleteTrs 394.46/291.76 (11) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (12) CpxRNTS 394.46/291.76 (13) InliningProof [UPPER BOUND(ID), 60 ms] 394.46/291.76 (14) CpxRNTS 394.46/291.76 (15) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] 394.46/291.76 (16) CpxRNTS 394.46/291.76 (17) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] 394.46/291.76 (18) CpxRNTS 394.46/291.76 (19) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (20) CpxRNTS 394.46/291.76 (21) IntTrsBoundProof [UPPER BOUND(ID), 105 ms] 394.46/291.76 (22) CpxRNTS 394.46/291.76 (23) IntTrsBoundProof [UPPER BOUND(ID), 3 ms] 394.46/291.76 (24) CpxRNTS 394.46/291.76 (25) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (26) CpxRNTS 394.46/291.76 (27) IntTrsBoundProof [UPPER BOUND(ID), 98 ms] 394.46/291.76 (28) CpxRNTS 394.46/291.76 (29) IntTrsBoundProof [UPPER BOUND(ID), 75 ms] 394.46/291.76 (30) CpxRNTS 394.46/291.76 (31) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (32) CpxRNTS 394.46/291.76 (33) IntTrsBoundProof [UPPER BOUND(ID), 87 ms] 394.46/291.76 (34) CpxRNTS 394.46/291.76 (35) IntTrsBoundProof [UPPER BOUND(ID), 52 ms] 394.46/291.76 (36) CpxRNTS 394.46/291.76 (37) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (38) CpxRNTS 394.46/291.76 (39) IntTrsBoundProof [UPPER BOUND(ID), 120 ms] 394.46/291.76 (40) CpxRNTS 394.46/291.76 (41) IntTrsBoundProof [UPPER BOUND(ID), 102 ms] 394.46/291.76 (42) CpxRNTS 394.46/291.76 (43) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (44) CpxRNTS 394.46/291.76 (45) IntTrsBoundProof [UPPER BOUND(ID), 126 ms] 394.46/291.76 (46) CpxRNTS 394.46/291.76 (47) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (48) CpxRNTS 394.46/291.76 (49) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (50) CpxRNTS 394.46/291.76 (51) IntTrsBoundProof [UPPER BOUND(ID), 189 ms] 394.46/291.76 (52) CpxRNTS 394.46/291.76 (53) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] 394.46/291.76 (54) CpxRNTS 394.46/291.76 (55) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (56) CpxRNTS 394.46/291.76 (57) IntTrsBoundProof [UPPER BOUND(ID), 107 ms] 394.46/291.76 (58) CpxRNTS 394.46/291.76 (59) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (60) CpxRNTS 394.46/291.76 (61) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (62) CpxRNTS 394.46/291.76 (63) IntTrsBoundProof [UPPER BOUND(ID), 208 ms] 394.46/291.76 (64) CpxRNTS 394.46/291.76 (65) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] 394.46/291.76 (66) CpxRNTS 394.46/291.76 (67) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (68) CpxRNTS 394.46/291.76 (69) IntTrsBoundProof [UPPER BOUND(ID), 106 ms] 394.46/291.76 (70) CpxRNTS 394.46/291.76 (71) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (72) CpxRNTS 394.46/291.76 (73) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (74) CpxRNTS 394.46/291.76 (75) IntTrsBoundProof [UPPER BOUND(ID), 148 ms] 394.46/291.76 (76) CpxRNTS 394.46/291.76 (77) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] 394.46/291.76 (78) CpxRNTS 394.46/291.76 (79) ResultPropagationProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (80) CpxRNTS 394.46/291.76 (81) IntTrsBoundProof [UPPER BOUND(ID), 115 ms] 394.46/291.76 (82) CpxRNTS 394.46/291.76 (83) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] 394.46/291.76 (84) CpxRNTS 394.46/291.76 (85) FinalProof [FINISHED, 0 ms] 394.46/291.76 (86) BOUNDS(1, n^5) 394.46/291.76 (87) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] 394.46/291.76 (88) TRS for Loop Detection 394.46/291.76 (89) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] 394.46/291.76 (90) BEST 394.46/291.76 (91) proven lower bound 394.46/291.76 (92) LowerBoundPropagationProof [FINISHED, 0 ms]
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