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Derivational Complexity: TRS pair #487103132
details
property
value
status
complete
benchmark
137087.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.906 seconds
cpu usage
1026.99
user time
1019.89
system time
7.09836
max virtual memory
3.7910996E7
max residence set size
1.4990656E7
stage attributes
key
value
starexec-result
KILLED
output
KILLED 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 55 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 10 ms] (10) typed CpxTrs (11) OrderProof [LOWER BOUND(ID), 0 ms] (12) typed CpxTrs (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 2485 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 72 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 3117 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 107 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 109 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 27 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1790 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 23 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 14.5 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4446 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4499 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4585 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4502 ms] (54) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(1(0(2(3(2(3(2(0(1(1(2(0(4(3(0(3(2(x1)))))))))))))))))))) -> 2(2(2(3(0(3(2(2(0(0(4(4(2(0(3(2(3(2(2(3(x1)))))))))))))))))))) 0(0(0(1(3(3(3(1(2(3(1(1(1(4(3(1(4(3(2(3(x1)))))))))))))))))))) -> 2(2(4(3(3(0(2(3(3(2(1(1(3(2(0(2(4(0(4(3(x1)))))))))))))))))))) 0(0(0(3(4(3(3(3(4(0(1(0(0(3(1(1(2(0(3(3(x1)))))))))))))))))))) -> 3(0(2(3(2(1(1(3(3(2(4(1(3(0(4(3(3(1(4(0(x1)))))))))))))))))))) 0(0(3(3(4(0(0(2(1(3(1(2(1(4(3(1(3(3(0(2(x1)))))))))))))))))))) -> 0(4(2(4(2(3(0(1(2(2(2(4(3(4(4(3(3(4(3(4(x1)))))))))))))))))))) 0(1(1(4(3(2(0(4(4(0(0(2(3(4(0(3(3(3(3(4(x1)))))))))))))))))))) -> 3(0(3(1(4(2(0(0(3(4(0(3(1(4(3(2(3(1(3(3(x1)))))))))))))))))))) 0(1(2(2(1(4(1(4(4(2(2(0(2(0(4(3(2(2(2(3(x1)))))))))))))))))))) -> 2(4(2(1(2(0(1(0(2(0(0(1(1(1(2(0(3(3(3(2(x1)))))))))))))))))))) 0(1(3(4(4(4(2(3(4(0(1(1(2(3(3(4(3(1(0(1(x1)))))))))))))))))))) -> 3(1(1(3(4(4(4(3(2(0(2(3(2(0(2(3(0(3(0(2(x1)))))))))))))))))))) 0(2(1(1(1(1(3(0(3(3(1(0(1(3(3(3(0(3(4(4(x1)))))))))))))))))))) -> 4(1(2(2(2(3(3(3(1(3(3(1(2(1(2(3(0(3(0(0(x1)))))))))))))))))))) 0(2(2(4(3(2(1(2(3(3(4(4(4(0(2(0(3(2(0(4(x1)))))))))))))))))))) -> 1(2(2(1(2(4(4(3(2(3(0(4(2(3(2(3(3(2(4(4(x1)))))))))))))))))))) 0(2(3(0(2(0(3(2(0(0(2(1(1(0(0(2(4(0(3(2(x1)))))))))))))))))))) -> 0(1(4(1(1(3(3(0(1(1(2(3(4(2(4(4(3(0(0(2(x1)))))))))))))))))))) 0(2(4(0(4(3(3(2(3(1(1(0(4(2(1(1(3(2(0(0(x1)))))))))))))))))))) -> 2(3(3(3(0(1(1(2(1(0(0(4(0(4(4(2(3(3(0(1(x1)))))))))))))))))))) 0(2(4(3(3(0(1(1(3(1(0(4(2(1(3(0(2(1(3(3(x1)))))))))))))))))))) -> 2(3(2(0(3(4(3(3(3(0(1(3(0(2(3(2(1(1(2(1(x1)))))))))))))))))))) 0(3(1(2(2(0(4(3(3(3(2(2(2(4(1(1(2(2(2(1(x1)))))))))))))))))))) -> 3(0(4(1(4(2(3(4(2(3(0(2(2(3(3(1(1(3(3(0(x1)))))))))))))))))))) 0(3(2(2(1(1(3(2(1(1(2(1(4(3(1(0(3(4(2(0(x1)))))))))))))))))))) -> 0(1(2(0(3(0(4(3(3(4(0(1(3(4(3(0(0(3(0(4(x1)))))))))))))))))))) 0(3(2(2(1(2(3(4(0(2(0(1(3(4(2(0(2(4(1(2(x1)))))))))))))))))))) -> 3(0(1(2(1(0(1(0(3(1(2(3(0(3(3(0(0(4(2(2(x1)))))))))))))))))))) 0(3(4(2(4(2(4(1(4(2(3(3(3(3(0(1(1(3(4(1(x1)))))))))))))))))))) -> 0(1(2(3(4(3(4(4(3(3(0(2(3(0(4(2(3(3(2(3(x1)))))))))))))))))))) 0(4(0(1(3(2(3(3(4(4(4(1(3(3(1(0(4(4(2(3(x1)))))))))))))))))))) -> 3(1(0(3(4(2(4(3(3(4(4(3(0(0(3(4(3(3(2(0(x1)))))))))))))))))))) 0(4(1(1(1(3(0(3(4(2(0(3(2(4(4(0(3(2(0(0(x1)))))))))))))))))))) -> 4(1(0(0(0(3(4(4(4(3(2(2(2(3(3(1(0(3(3(2(x1)))))))))))))))))))) 0(4(1(1(3(0(2(0(3(2(2(1(0(3(4(3(4(4(4(0(x1)))))))))))))))))))) -> 2(2(3(1(3(4(3(1(4(1(4(3(1(1(1(1(2(4(2(3(x1)))))))))))))))))))) 0(4(1(2(2(1(4(3(3(2(0(0(3(4(3(4(2(1(2(2(x1)))))))))))))))))))) -> 4(2(3(1(4(2(4(2(0(3(3(1(2(2(0(3(3(2(1(3(x1)))))))))))))))))))) 0(4(3(1(2(0(1(2(3(4(4(3(3(3(1(1(4(3(2(3(x1)))))))))))))))))))) -> 3(3(0(0(3(0(3(3(3(3(2(4(4(0(1(4(2(3(1(2(x1)))))))))))))))))))) 0(4(3(3(0(2(0(1(4(3(3(2(0(3(4(4(1(1(0(2(x1)))))))))))))))))))) -> 3(4(3(3(1(0(3(3(3(3(2(4(4(4(3(4(4(0(3(4(x1)))))))))))))))))))) 0(4(3(3(3(1(2(1(3(2(0(2(2(1(0(2(3(3(1(0(x1)))))))))))))))))))) -> 3(0(4(4(3(3(3(3(3(0(2(1(1(4(2(3(3(1(2(1(x1)))))))))))))))))))) 0(4(4(0(2(4(0(0(2(0(1(2(1(2(3(0(1(2(2(2(x1)))))))))))))))))))) -> 4(3(1(1(1(1(1(3(3(4(0(4(4(0(3(1(0(1(4(3(x1)))))))))))))))))))) 0(4(4(2(4(0(3(0(3(3(3(4(3(1(3(4(1(0(2(3(x1)))))))))))))))))))) -> 1(4(3(3(2(4(3(3(4(4(0(2(3(3(0(1(1(3(0(4(x1)))))))))))))))))))) 0(4(4(3(4(2(2(2(2(3(1(2(2(3(4(3(3(0(1(2(x1)))))))))))))))))))) -> 3(2(0(3(4(3(1(2(2(1(1(0(2(3(3(4(4(3(4(3(x1)))))))))))))))))))) 1(0(1(4(2(2(0(3(0(2(2(2(0(1(1(3(3(3(1(1(x1)))))))))))))))))))) -> 4(2(2(3(0(3(2(1(2(0(1(3(1(0(2(3(0(4(2(3(x1))))))))))))))))))))
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