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Derivational Complexity: TRS Innermost pair #487105146
details
property
value
status
complete
benchmark
thiemann40.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
298.808 seconds
cpu usage
1156.88
user time
1142.43
system time
14.4505
max virtual memory
3.8605904E7
max residence set size
1.516588E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^2))
output
WORST_CASE(Omega(n^1), O(n^2)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^2). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 370 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), 2710 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 12 ms] (14) CpxRNTS (15) InliningProof [UPPER BOUND(ID), 985 ms] (16) CpxRNTS (17) SimplificationProof [BOTH BOUNDS(ID, ID), 4 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), 76 ms] (24) CpxRNTS (25) IntTrsBoundProof [UPPER BOUND(ID), 33 ms] (26) CpxRNTS (27) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 59 ms] (30) CpxRNTS (31) IntTrsBoundProof [UPPER BOUND(ID), 13 ms] (32) CpxRNTS (33) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 86 ms] (36) CpxRNTS (37) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (38) CpxRNTS (39) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 67 ms] (42) CpxRNTS (43) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (44) CpxRNTS (45) ResultPropagationProof [UPPER BOUND(ID), 2 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 8 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), 1856 ms] (54) CpxRNTS (55) IntTrsBoundProof [UPPER BOUND(ID), 903 ms] (56) CpxRNTS (57) ResultPropagationProof [UPPER BOUND(ID), 3 ms] (58) CpxRNTS (59) IntTrsBoundProof [UPPER BOUND(ID), 97 ms] (60) CpxRNTS (61) IntTrsBoundProof [UPPER BOUND(ID), 32 ms] (62) CpxRNTS (63) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (64) CpxRNTS (65) IntTrsBoundProof [UPPER BOUND(ID), 128 ms] (66) CpxRNTS (67) IntTrsBoundProof [UPPER BOUND(ID), 51 ms] (68) CpxRNTS (69) ResultPropagationProof [UPPER BOUND(ID), 3 ms] (70) CpxRNTS (71) IntTrsBoundProof [UPPER BOUND(ID), 3201 ms] (72) CpxRNTS (73) IntTrsBoundProof [UPPER BOUND(ID), 2150 ms] (74) CpxRNTS (75) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (76) CpxRNTS (77) IntTrsBoundProof [UPPER BOUND(ID), 871 ms] (78) CpxRNTS (79) IntTrsBoundProof [UPPER BOUND(ID), 128 ms] (80) CpxRNTS (81) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (82) CpxRNTS (83) IntTrsBoundProof [UPPER BOUND(ID), 799 ms] (84) CpxRNTS (85) IntTrsBoundProof [UPPER BOUND(ID), 88 ms] (86) CpxRNTS (87) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (88) CpxRNTS (89) IntTrsBoundProof [UPPER BOUND(ID), 539 ms] (90) CpxRNTS (91) IntTrsBoundProof [UPPER BOUND(ID), 128 ms] (92) CpxRNTS
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