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Derivational Complexity: TRS Innermost pair #487109382
details
property
value
status
complete
benchmark
10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
292.501 seconds
cpu usage
1138.15
user time
1123.96
system time
14.1897
max virtual memory
3.8098564E7
max residence set size
1.4752352E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^3))
output
WORST_CASE(Omega(n^1), O(n^3)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^3). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 260 ms] (4) CpxRelTRS (5) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) NarrowingProof [BOTH BOUNDS(ID, ID), 418 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (14) CpxRNTS (15) InliningProof [UPPER BOUND(ID), 507 ms] (16) CpxRNTS (17) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxRNTS (21) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (22) CpxRNTS (23) IntTrsBoundProof [UPPER BOUND(ID), 34 ms] (24) CpxRNTS (25) IntTrsBoundProof [UPPER BOUND(ID), 4 ms] (26) CpxRNTS (27) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 57 ms] (30) CpxRNTS (31) IntTrsBoundProof [UPPER BOUND(ID), 21 ms] (32) CpxRNTS (33) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 78 ms] (36) CpxRNTS (37) IntTrsBoundProof [UPPER BOUND(ID), 3 ms] (38) CpxRNTS (39) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 251 ms] (42) CpxRNTS (43) IntTrsBoundProof [UPPER BOUND(ID), 105 ms] (44) CpxRNTS (45) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 96 ms] (48) CpxRNTS (49) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (50) CpxRNTS (51) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (52) CpxRNTS (53) IntTrsBoundProof [UPPER BOUND(ID), 350 ms] (54) CpxRNTS (55) IntTrsBoundProof [UPPER BOUND(ID), 24 ms] (56) CpxRNTS (57) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (58) CpxRNTS (59) IntTrsBoundProof [UPPER BOUND(ID), 147 ms] (60) CpxRNTS (61) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (62) CpxRNTS (63) ResultPropagationProof [UPPER BOUND(ID), 2 ms] (64) CpxRNTS (65) IntTrsBoundProof [UPPER BOUND(ID), 308 ms] (66) CpxRNTS (67) IntTrsBoundProof [UPPER BOUND(ID), 42 ms] (68) CpxRNTS (69) ResultPropagationProof [UPPER BOUND(ID), 3 ms] (70) CpxRNTS (71) IntTrsBoundProof [UPPER BOUND(ID), 2949 ms] (72) CpxRNTS (73) IntTrsBoundProof [UPPER BOUND(ID), 2239 ms] (74) CpxRNTS (75) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (76) CpxRNTS (77) IntTrsBoundProof [UPPER BOUND(ID), 1833 ms] (78) CpxRNTS (79) IntTrsBoundProof [UPPER BOUND(ID), 1197 ms] (80) CpxRNTS (81) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (82) CpxRNTS (83) IntTrsBoundProof [UPPER BOUND(ID), 599 ms] (84) CpxRNTS (85) IntTrsBoundProof [UPPER BOUND(ID), 128 ms] (86) CpxRNTS (87) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (88) CpxRNTS (89) IntTrsBoundProof [UPPER BOUND(ID), 56 ms] (90) CpxRNTS (91) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (92) CpxRNTS
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