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Derivational Complexity: TRS pair #487102586
details
property
value
status
complete
benchmark
s6.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
Mixed_SRS
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
292.442 seconds
cpu usage
1122.56
user time
1109.15
system time
13.4023
max virtual memory
3.955554E7
max residence set size
1.5358584E7
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^3))
output
WORST_CASE(?, O(n^3)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^3). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 166 ms] (4) CpxRelTRS (5) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (6) CpxRelTRS (7) RcToIrcProof [BOTH BOUNDS(ID, ID), 42 ms] (8) CpxRelTRS (9) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxWeightedTrs (11) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxTypedWeightedTrs (13) CompletionProof [UPPER BOUND(ID), 0 ms] (14) CpxTypedWeightedCompleteTrs (15) NarrowingProof [BOTH BOUNDS(ID, ID), 218 ms] (16) CpxTypedWeightedCompleteTrs (17) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 38 ms] (18) CpxRNTS (19) InliningProof [UPPER BOUND(ID), 2949 ms] (20) CpxRNTS (21) SimplificationProof [BOTH BOUNDS(ID, ID), 30 ms] (22) CpxRNTS (23) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 11 ms] (24) CpxRNTS (25) ResultPropagationProof [UPPER BOUND(ID), 4 ms] (26) CpxRNTS (27) IntTrsBoundProof [UPPER BOUND(ID), 198 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 55 ms] (30) CpxRNTS (31) ResultPropagationProof [UPPER BOUND(ID), 13 ms] (32) CpxRNTS (33) IntTrsBoundProof [UPPER BOUND(ID), 182 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 3 ms] (36) CpxRNTS (37) ResultPropagationProof [UPPER BOUND(ID), 13 ms] (38) CpxRNTS (39) IntTrsBoundProof [UPPER BOUND(ID), 588 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 60 ms] (42) CpxRNTS (43) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (44) CpxRNTS (45) IntTrsBoundProof [UPPER BOUND(ID), 1138 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 111 ms] (48) CpxRNTS (49) ResultPropagationProof [UPPER BOUND(ID), 15 ms] (50) CpxRNTS (51) IntTrsBoundProof [UPPER BOUND(ID), 790 ms] (52) CpxRNTS (53) IntTrsBoundProof [UPPER BOUND(ID), 68 ms] (54) CpxRNTS (55) ResultPropagationProof [UPPER BOUND(ID), 8 ms] (56) CpxRNTS (57) IntTrsBoundProof [UPPER BOUND(ID), 619 ms] (58) CpxRNTS (59) IntTrsBoundProof [UPPER BOUND(ID), 180 ms] (60) CpxRNTS (61) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (62) CpxRNTS (63) IntTrsBoundProof [UPPER BOUND(ID), 598 ms] (64) CpxRNTS (65) IntTrsBoundProof [UPPER BOUND(ID), 349 ms] (66) CpxRNTS (67) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (68) CpxRNTS (69) IntTrsBoundProof [UPPER BOUND(ID), 475 ms] (70) CpxRNTS (71) IntTrsBoundProof [UPPER BOUND(ID), 67 ms] (72) CpxRNTS (73) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (74) CpxRNTS (75) IntTrsBoundProof [UPPER BOUND(ID), 701 ms] (76) CpxRNTS (77) IntTrsBoundProof [UPPER BOUND(ID), 321 ms] (78) CpxRNTS (79) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (80) CpxRNTS (81) IntTrsBoundProof [UPPER BOUND(ID), 1342 ms] (82) CpxRNTS (83) IntTrsBoundProof [UPPER BOUND(ID), 213 ms] (84) CpxRNTS (85) ResultPropagationProof [UPPER BOUND(ID), 17 ms] (86) CpxRNTS (87) IntTrsBoundProof [UPPER BOUND(ID), 2342 ms] (88) CpxRNTS (89) IntTrsBoundProof [UPPER BOUND(ID), 597 ms] (90) CpxRNTS (91) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (92) CpxRNTS
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