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Derivational Complexity: TRS Innermost pair #487104248
details
property
value
status
complete
benchmark
#3.8b.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
291.64 seconds
cpu usage
1143.0
user time
1131.09
system time
11.9085
max virtual memory
3.8003132E7
max residence set size
1.5054312E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^4))
output
WORST_CASE(Omega(n^1), O(n^4)) 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^4). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 210 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), 2897 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 1 ms] (14) CpxRNTS (15) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (16) CpxRNTS (17) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) ResultPropagationProof [UPPER BOUND(ID), 3 ms] (20) CpxRNTS (21) IntTrsBoundProof [UPPER BOUND(ID), 85 ms] (22) CpxRNTS (23) IntTrsBoundProof [UPPER BOUND(ID), 3 ms] (24) CpxRNTS (25) ResultPropagationProof [UPPER BOUND(ID), 2 ms] (26) CpxRNTS (27) IntTrsBoundProof [UPPER BOUND(ID), 372 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 126 ms] (30) CpxRNTS (31) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (32) CpxRNTS (33) IntTrsBoundProof [UPPER BOUND(ID), 125 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 31 ms] (36) CpxRNTS (37) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (38) CpxRNTS (39) IntTrsBoundProof [UPPER BOUND(ID), 87 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 11 ms] (42) CpxRNTS (43) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (44) CpxRNTS (45) IntTrsBoundProof [UPPER BOUND(ID), 712 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 317 ms] (48) CpxRNTS (49) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (50) CpxRNTS (51) IntTrsBoundProof [UPPER BOUND(ID), 381 ms] (52) CpxRNTS (53) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (54) CpxRNTS (55) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (56) CpxRNTS (57) IntTrsBoundProof [UPPER BOUND(ID), 160 ms] (58) CpxRNTS (59) IntTrsBoundProof [UPPER BOUND(ID), 53 ms] (60) CpxRNTS (61) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (62) CpxRNTS (63) IntTrsBoundProof [UPPER BOUND(ID), 1048 ms] (64) CpxRNTS (65) IntTrsBoundProof [UPPER BOUND(ID), 661 ms] (66) CpxRNTS (67) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (68) CpxRNTS (69) IntTrsBoundProof [UPPER BOUND(ID), 526 ms] (70) CpxRNTS (71) IntTrsBoundProof [UPPER BOUND(ID), 169 ms] (72) CpxRNTS (73) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (74) CpxRNTS (75) IntTrsBoundProof [UPPER BOUND(ID), 85 ms] (76) CpxRNTS (77) IntTrsBoundProof [UPPER BOUND(ID), 2 ms] (78) CpxRNTS (79) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (80) CpxRNTS (81) IntTrsBoundProof [UPPER BOUND(ID), 86 ms] (82) CpxRNTS (83) IntTrsBoundProof [UPPER BOUND(ID), 1 ms] (84) CpxRNTS (85) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (86) CpxRNTS (87) IntTrsBoundProof [UPPER BOUND(ID), 237 ms] (88) CpxRNTS (89) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (90) CpxRNTS (91) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (92) CpxRNTS
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