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Derivational Complexity: TRS pair #487103386
details
property
value
status
complete
benchmark
160210.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
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
295.117 seconds
cpu usage
1157.17
user time
1152.05
system time
5.12008
max virtual memory
1.8911604E7
max residence set size
7294968.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 152 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), 16 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), 3395 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 54 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 23 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 5642 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 20 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 9 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 19 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 24 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 2896 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 22.9 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7135 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7222 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7198 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16.3 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(0(1(2(2(0(1(2(x1)))))))) -> 1(2(1(0(0(0(2(0(2(x1))))))))) 0(2(0(0(2(0(0(2(x1)))))))) -> 0(0(2(2(0(0(0(2(x1)))))))) 0(0(0(2(1(1(2(2(2(x1))))))))) -> 0(0(0(0(2(0(1(0(0(2(x1)))))))))) 0(1(0(1(1(2(1(0(0(x1))))))))) -> 0(0(2(1(1(0(0(1(1(x1))))))))) 0(1(2(0(1(2(2(2(2(x1))))))))) -> 0(0(0(0(0(2(1(0(2(2(0(0(x1)))))))))))) 1(2(2(0(0(1(2(0(1(x1))))))))) -> 1(2(1(2(2(0(1(0(0(x1))))))))) 2(0(0(0(0(1(2(1(1(x1))))))))) -> 2(2(1(0(1(0(0(2(1(1(x1)))))))))) 2(0(1(2(1(1(1(2(0(x1))))))))) -> 2(0(0(2(1(2(0(0(2(0(x1)))))))))) 2(1(1(0(1(0(1(2(1(x1))))))))) -> 2(0(0(2(1(0(2(1(1(2(x1)))))))))) 0(1(0(1(1(1(2(0(0(1(x1)))))))))) -> 2(0(0(1(1(0(0(2(1(0(0(0(x1)))))))))))) 1(1(0(1(0(1(2(0(2(2(1(x1))))))))))) -> 1(1(0(1(2(2(2(1(0(0(1(x1))))))))))) 2(0(2(2(2(1(2(1(2(1(0(x1))))))))))) -> 0(2(1(0(0(2(1(1(1(1(1(0(x1)))))))))))) 0(1(2(1(1(1(1(1(2(0(1(2(0(x1))))))))))))) -> 2(1(0(0(0(0(0(2(1(1(2(2(1(1(0(1(0(x1))))))))))))))))) 0(2(1(2(0(2(2(0(0(2(0(1(0(x1))))))))))))) -> 0(0(2(0(0(0(0(2(2(0(2(0(1(0(x1)))))))))))))) 1(2(0(1(0(1(1(1(2(2(1(1(1(x1))))))))))))) -> 1(0(2(1(2(2(2(1(0(0(0(2(2(0(x1)))))))))))))) 1(2(2(0(2(2(0(1(2(0(2(2(1(x1))))))))))))) -> 0(1(1(0(0(2(0(2(1(0(2(0(2(0(x1)))))))))))))) 0(1(2(0(2(0(2(1(0(1(1(0(1(0(x1)))))))))))))) -> 2(0(0(0(2(0(0(1(0(0(2(0(2(1(0(0(0(0(0(2(0(0(x1)))))))))))))))))))))) 0(2(1(0(2(0(2(0(2(1(1(2(0(1(x1)))))))))))))) -> 0(0(0(2(0(0(1(1(1(1(0(0(0(0(2(1(0(0(x1)))))))))))))))))) 1(2(1(1(2(2(2(1(0(1(2(2(1(0(x1)))))))))))))) -> 2(0(0(0(2(2(1(0(0(0(2(0(2(0(0(1(1(x1))))))))))))))))) 2(1(2(2(1(2(1(1(2(0(1(2(2(2(x1)))))))))))))) -> 2(1(0(1(2(0(0(1(1(1(0(0(0(0(2(1(x1)))))))))))))))) 0(0(0(1(1(0(1(1(0(1(1(2(1(2(2(x1))))))))))))))) -> 1(0(1(1(0(2(1(0(0(1(1(2(0(0(2(1(x1)))))))))))))))) 0(0(1(2(0(1(2(2(0(1(2(0(0(2(1(x1))))))))))))))) -> 1(1(1(0(0(2(1(0(0(2(2(2(2(0(0(x1))))))))))))))) 0(1(0(0(2(0(1(1(0(0(1(2(2(2(1(1(x1)))))))))))))))) -> 2(1(1(0(1(1(0(0(2(2(1(0(0(2(0(1(x1)))))))))))))))) 2(1(2(1(2(0(2(2(2(2(0(2(0(2(1(0(x1)))))))))))))))) -> 0(2(1(2(0(0(2(1(0(0(2(2(0(0(2(2(0(x1))))))))))))))))) 0(2(2(1(2(0(1(2(1(0(1(0(0(2(0(2(2(1(x1)))))))))))))))))) -> 0(0(2(2(2(1(2(2(1(0(2(2(1(1(0(0(0(2(2(x1))))))))))))))))))) 1(2(1(0(1(0(1(2(2(0(0(0(0(1(1(1(2(0(x1)))))))))))))))))) -> 2(0(1(1(0(0(2(2(2(0(1(1(0(2(1(0(0(0(1(x1))))))))))))))))))) 1(2(2(1(0(0(1(0(1(0(2(1(1(0(1(1(0(1(x1)))))))))))))))))) -> 1(0(2(1(0(1(0(2(1(0(2(1(1(1(0(0(1(1(x1))))))))))))))))))
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