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Derivational Complexity: TRS pair #487103444
details
property
value
status
complete
benchmark
165975.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.402 seconds
cpu usage
1162.35
user time
1154.85
system time
7.4996
max virtual memory
1.9000108E7
max residence set size
1.3489188E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 97 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 23 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 0 ms] (10) typed CpxTrs (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (12) TRS for Loop Detection (13) RelTrsToTrsProof [UPPER BOUND(ID), 1 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 2776 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 71 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 24 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 5001 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 96 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 88 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 37 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 2483 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 10 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 18.9 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5340 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5338 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5353 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13.0 s] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13.1 s] (56) 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(1(x1))) -> 2(1(2(1(x1)))) 0(2(2(1(2(0(x1)))))) -> 2(2(1(2(1(1(1(x1))))))) 0(1(1(2(2(1(0(x1))))))) -> 1(2(1(2(1(2(2(1(1(1(x1)))))))))) 2(0(1(0(2(2(1(x1))))))) -> 2(0(1(2(1(2(1(1(x1)))))))) 0(1(2(1(1(1(0(1(x1)))))))) -> 2(1(2(2(1(2(1(0(1(x1))))))))) 2(1(0(2(2(2(2(2(x1)))))))) -> 2(1(2(2(2(0(2(2(x1)))))))) 0(1(1(1(0(2(0(1(2(x1))))))))) -> 1(2(1(2(2(1(1(2(2(1(2(x1))))))))))) 0(1(2(1(1(1(2(0(0(2(x1)))))))))) -> 2(1(0(0(1(2(1(2(1(1(2(x1))))))))))) 0(2(0(0(0(2(1(0(1(2(x1)))))))))) -> 2(1(1(0(0(2(0(2(1(2(1(x1))))))))))) 1(0(2(0(0(2(0(2(0(1(x1)))))))))) -> 1(1(0(1(0(1(2(1(2(1(1(1(0(x1))))))))))))) 1(2(0(2(2(0(1(2(0(0(x1)))))))))) -> 0(1(2(1(2(1(2(1(2(2(0(x1))))))))))) 0(0(2(2(2(2(0(0(2(0(0(x1))))))))))) -> 0(2(0(2(1(2(1(1(2(1(1(1(1(1(2(0(2(x1))))))))))))))))) 2(0(2(2(0(1(2(2(2(2(0(x1))))))))))) -> 2(1(2(2(1(2(1(1(2(2(2(1(1(0(1(2(x1)))))))))))))))) 0(2(2(0(1(2(1(2(0(0(1(1(x1)))))))))))) -> 0(1(1(2(1(2(2(1(1(1(2(2(0(0(x1)))))))))))))) 1(0(2(2(0(2(0(0(0(1(1(1(x1)))))))))))) -> 2(1(2(1(1(0(2(0(1(1(2(2(1(2(1(x1))))))))))))))) 0(0(0(0(0(2(0(1(2(1(1(1(2(x1))))))))))))) -> 0(0(1(1(1(1(2(2(2(1(2(1(1(1(1(1(x1)))))))))))))))) 0(0(0(0(2(2(0(0(0(1(2(1(0(x1))))))))))))) -> 1(0(0(2(2(2(2(1(2(1(1(2(1(1(x1)))))))))))))) 0(0(2(0(0(1(1(0(0(2(0(1(0(x1))))))))))))) -> 2(0(2(1(1(2(2(1(2(1(2(2(1(1(1(2(2(1(x1)))))))))))))))))) 0(1(0(1(2(0(1(1(2(2(1(0(1(x1))))))))))))) -> 2(1(0(0(1(1(2(2(2(1(2(2(1(1(x1)))))))))))))) 0(1(0(2(0(0(2(0(1(0(2(1(0(x1))))))))))))) -> 2(1(2(1(1(1(0(1(0(0(0(0(2(2(x1)))))))))))))) 0(2(1(1(2(1(1(0(0(2(2(0(2(x1))))))))))))) -> 0(1(0(1(0(1(0(2(1(2(1(1(1(0(2(x1))))))))))))))) 1(0(1(0(1(2(0(1(1(1(0(2(2(x1))))))))))))) -> 2(1(1(1(0(2(1(1(2(1(2(1(2(2(1(x1))))))))))))))) 2(0(0(2(1(0(1(1(1(2(0(1(1(x1))))))))))))) -> 2(1(2(1(1(0(1(1(0(1(2(1(0(0(0(x1))))))))))))))) 0(0(1(2(0(0(1(1(2(1(1(0(2(0(x1)))))))))))))) -> 2(1(0(1(1(1(1(2(1(1(2(1(2(1(1(0(x1)))))))))))))))) 0(1(0(1(2(1(1(1(0(1(2(1(0(0(x1)))))))))))))) -> 2(1(2(2(1(1(1(2(1(1(2(1(2(1(2(x1)))))))))))))))
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