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Derivational Complexity: TRS pair #487102964
details
property
value
status
complete
benchmark
149415.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.472 seconds
cpu usage
1166.76
user time
1161.43
system time
5.32838
max virtual memory
1.9204668E7
max residence set size
6411516.0
stage attributes
key
value
starexec-result
KILLED
output
KILLED proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 34 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), 0 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), 3454 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 46 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 4 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1625 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 163 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 97 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 13 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 3013 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 5 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7195 ms] (46) CdtProblem (47) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 24.0 s] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7235 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7234 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 25.7 s] (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(1(2(x1))) -> 1(2(1(2(x1)))) 0(0(1(0(x1)))) -> 2(1(2(2(2(x1))))) 0(1(0(0(0(x1))))) -> 0(1(2(0(1(2(1(x1))))))) 2(0(0(2(2(0(1(1(x1)))))))) -> 2(1(2(2(2(1(2(2(2(0(0(1(2(2(2(2(x1)))))))))))))))) 0(2(1(2(0(0(2(2(1(2(0(2(1(x1))))))))))))) -> 0(2(1(0(0(2(1(0(1(2(2(2(2(x1))))))))))))) 1(0(2(0(2(1(0(2(2(0(2(2(0(x1))))))))))))) -> 2(1(0(0(1(2(2(1(0(0(2(0(1(0(1(x1))))))))))))))) 1(2(0(1(1(1(2(2(0(2(0(1(0(x1))))))))))))) -> 2(1(2(2(1(2(2(2(1(2(1(2(0(0(2(x1))))))))))))))) 2(2(0(2(2(2(2(0(1(0(0(2(1(x1))))))))))))) -> 2(1(2(0(2(1(1(2(2(1(1(1(2(1(1(1(1(1(1(x1))))))))))))))))))) 1(2(2(0(1(2(2(1(2(0(2(2(0(1(x1)))))))))))))) -> 1(2(0(1(0(1(2(0(1(2(2(2(2(2(x1)))))))))))))) 1(0(2(2(2(2(1(2(1(1(1(0(2(0(0(2(x1)))))))))))))))) -> 1(2(0(0(2(0(2(2(1(2(1(1(1(0(0(1(2(0(x1)))))))))))))))))) 1(1(2(1(0(0(0(2(0(2(0(2(2(0(0(0(x1)))))))))))))))) -> 2(0(0(1(2(2(1(0(2(1(2(1(2(2(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))) 2(1(0(1(0(0(0(2(2(2(0(1(0(0(0(2(x1)))))))))))))))) -> 2(2(2(0(2(1(0(1(0(0(1(1(2(2(2(1(2(1(2(2(1(x1))))))))))))))))))))) 0(1(0(0(2(0(0(2(0(1(1(0(1(0(2(1(0(x1))))))))))))))))) -> 0(2(1(2(1(2(2(0(2(1(1(2(2(1(2(1(1(2(2(1(0(2(0(1(0(x1))))))))))))))))))))))))) 1(2(0(2(0(0(0(0(2(0(0(2(0(1(0(0(0(0(x1)))))))))))))))))) -> 1(2(1(1(2(2(2(1(0(1(2(0(2(0(1(1(2(0(2(2(2(1(x1)))))))))))))))))))))) 2(1(1(1(2(1(1(2(2(2(0(2(1(1(1(1(0(0(x1)))))))))))))))))) -> 2(1(1(0(1(2(2(2(1(2(1(2(0(2(1(2(2(2(0(0(1(2(x1)))))))))))))))))))))) 1(2(0(0(1(0(2(0(2(2(0(1(0(0(0(1(2(1(1(x1))))))))))))))))))) -> 1(2(1(1(0(2(0(1(0(2(1(0(0(1(2(0(1(1(2(2(x1)))))))))))))))))))) 0(1(2(0(2(1(1(2(1(1(0(1(0(1(2(0(2(2(0(2(x1)))))))))))))))))))) -> 2(2(2(1(1(2(1(2(2(2(2(2(1(2(0(1(2(1(0(2(0(2(0(2(2(x1))))))))))))))))))))))))) 0(2(0(2(1(0(1(1(1(1(0(1(2(0(2(1(1(1(1(0(0(x1))))))))))))))))))))) -> 0(2(2(1(2(0(2(2(2(0(1(2(1(2(1(1(1(1(1(2(1(2(0(x1))))))))))))))))))))))) 0(1(2(2(0(0(0(2(2(2(2(2(2(2(2(0(1(1(2(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(0(2(1(2(0(1(1(1(2(0(0(1(1(2(1(2(2(1(1(2(2(1(2(2(x1))))))))))))))))))))))))))) 1(1(1(1(2(0(1(0(2(2(0(2(2(2(1(0(1(1(1(0(2(2(0(x1))))))))))))))))))))))) -> 2(2(2(0(2(1(2(2(1(0(1(0(1(1(2(2(2(1(2(1(0(1(0(0(1(0(2(1(x1)))))))))))))))))))))))))))) 1(1(2(0(0(1(2(1(0(2(0(1(0(2(1(0(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(1(0(2(1(2(2(1(1(1(1(0(1(0(1(2(1(2(1(x1)))))))))))))))))))))))) 2(0(0(0(0(1(2(0(0(1(0(2(2(0(1(1(1(2(1(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(1(0(1(0(1(2(2(1(0(1(2(0(2(0(1(1(2(2(0(1(2(1(1(x1)))))))))))))))))))))))))) 0(0(1(0(0(0(2(0(2(2(2(2(1(2(2(0(2(2(2(1(0(2(1(1(x1)))))))))))))))))))))))) -> 2(1(0(1(1(1(2(0(2(1(2(0(1(0(2(1(1(1(2(0(1(2(1(1(1(2(2(x1))))))))))))))))))))))))))) 0(0(0(0(0(0(1(1(0(1(1(0(0(2(1(0(2(0(0(1(0(1(0(0(0(x1))))))))))))))))))))))))) -> 2(1(2(1(1(2(0(1(0(0(2(1(1(1(2(0(2(2(1(0(2(1(1(2(2(2(1(1(1(x1))))))))))))))))))))))))))))) 0(1(2(1(2(0(0(0(1(1(2(0(0(2(0(1(0(0(1(0(0(2(2(1(1(x1))))))))))))))))))))))))) -> 0(1(2(2(2(2(2(0(0(1(0(0(2(2(2(1(0(2(0(1(2(2(0(2(0(1(2(2(1(2(x1)))))))))))))))))))))))))))))) 2(1(0(0(1(1(0(0(1(1(0(2(1(1(1(1(0(1(2(1(0(2(2(1(1(x1))))))))))))))))))))))))) -> 2(2(2(0(0(2(2(2(0(0(0(0(2(2(0(0(2(0(1(0(1(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(1(2(1(2(1(0(1(1(2(2(0(2(2(1(1(2(1(0(2(2(0(2(x1)))))))))))))))))))))))))) -> 0(2(1(2(1(2(2(0(0(0(1(0(2(0(1(2(2(1(0(0(1(1(2(2(2(2(2(0(1(2(1(x1)))))))))))))))))))))))))))))))
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