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Derivational Complexity: TRS Innermost pair #487108896
details
property
value
status
complete
benchmark
PEANO_nosorts-noand_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
291.545 seconds
cpu usage
342.007
user time
338.376
system time
3.63119
max virtual memory
1.9103472E7
max residence set size
5443880.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^2).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), 229 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), 2394 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 4 ms] (14) CpxRNTS (15) InliningProof [UPPER BOUND(ID), 92 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), 124 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), 139 ms] (30) CpxRNTS (31) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (32) CpxRNTS (33) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 25 ms] (36) CpxRNTS (37) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] (38) CpxRNTS (39) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 788 ms] (42) CpxRNTS (43) IntTrsBoundProof [UPPER BOUND(ID), 337 ms] (44) CpxRNTS (45) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 1220 ms] (48) CpxRNTS (49) IntTrsBoundProof [UPPER BOUND(ID), 883 ms] (50) CpxRNTS (51) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (52) CpxRNTS (53) IntTrsBoundProof [UPPER BOUND(ID), 660 ms] (54) CpxRNTS (55) IntTrsBoundProof [UPPER BOUND(ID), 138 ms] (56) CpxRNTS (57) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (58) CpxRNTS (59) IntTrsBoundProof [UPPER BOUND(ID), 169 ms] (60) CpxRNTS (61) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (62) CpxRNTS (63) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (64) CpxRNTS (65) IntTrsBoundProof [UPPER BOUND(ID), 208 ms] (66) CpxRNTS (67) IntTrsBoundProof [UPPER BOUND(ID), 1 ms] (68) CpxRNTS (69) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (70) CpxRNTS (71) IntTrsBoundProof [UPPER BOUND(ID), 227 ms] (72) CpxRNTS (73) IntTrsBoundProof [UPPER BOUND(ID), 13 ms] (74) CpxRNTS (75) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (76) CpxRNTS (77) IntTrsBoundProof [UPPER BOUND(ID), 137 ms] (78) CpxRNTS (79) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (80) CpxRNTS (81) FinalProof [FINISHED, 0 ms] (82) BOUNDS(1, n^2) (83) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CpxRelTRS (85) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (86) typed CpxTrs (87) OrderProof [LOWER BOUND(ID), 0 ms] (88) typed CpxTrs (89) RewriteLemmaProof [LOWER BOUND(ID), 303 ms] (90) BEST (91) proven lower bound (92) LowerBoundPropagationProof [FINISHED, 0 ms]
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