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Derivational Complexity: TRS pair #487102780
details
property
value
status
complete
benchmark
150468.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.211 seconds
cpu usage
1164.86
user time
1160.05
system time
4.81245
max virtual memory
1.9155356E7
max residence set size
6386436.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 33 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 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), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 3835 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 52 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 18 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1472 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 259 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 269 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 12 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 13 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 3186 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), 23.1 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7271 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7305 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7387 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16.8 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(0(0(0(1(0(x1))))))) -> 2(1(2(2(0(1(1(2(x1)))))))) 2(0(0(2(2(2(0(1(0(0(x1)))))))))) -> 2(1(2(2(2(1(1(0(1(2(1(x1))))))))))) 0(1(2(2(2(0(2(1(1(1(2(1(1(0(x1)))))))))))))) -> 1(2(0(1(0(1(2(1(2(1(2(2(2(1(1(0(x1)))))))))))))))) 2(1(1(2(0(1(1(2(0(0(1(0(0(1(x1)))))))))))))) -> 2(2(2(1(2(0(2(1(2(2(0(0(1(0(2(x1))))))))))))))) 1(0(0(2(1(1(0(1(0(2(0(2(0(1(1(x1))))))))))))))) -> 1(0(0(2(2(2(2(1(0(0(2(2(2(1(2(1(x1)))))))))))))))) 0(0(1(0(0(1(1(0(2(2(2(1(1(2(0(2(x1)))))))))))))))) -> 1(0(2(0(0(1(2(1(2(0(1(1(2(1(2(1(2(2(x1)))))))))))))))))) 0(0(2(0(0(0(1(2(2(2(1(0(1(1(2(1(2(0(2(x1))))))))))))))))))) -> 2(1(2(2(2(0(0(0(1(2(0(1(1(1(2(1(0(2(1(2(x1)))))))))))))))))))) 0(2(1(0(1(2(2(2(2(0(0(2(0(0(1(0(2(2(1(x1))))))))))))))))))) -> 2(2(1(2(2(1(2(2(2(2(2(0(0(2(2(1(2(2(1(2(x1)))))))))))))))))))) 1(1(1(2(2(0(2(0(0(2(0(2(0(2(0(0(0(2(1(1(0(x1))))))))))))))))))))) -> 1(1(1(0(0(2(1(0(1(1(1(2(0(1(2(0(0(2(2(1(2(2(x1)))))))))))))))))))))) 1(2(1(0(2(1(0(1(2(1(2(1(2(0(0(0(0(0(2(1(0(x1))))))))))))))))))))) -> 1(1(0(1(0(2(1(2(1(2(0(1(0(1(0(0(2(2(2(1(2(2(x1)))))))))))))))))))))) 0(1(2(1(1(1(1(1(1(0(1(2(2(2(2(2(2(1(0(1(1(1(x1)))))))))))))))))))))) -> 0(2(2(0(1(1(1(2(1(2(2(0(0(0(2(1(2(1(1(0(2(1(2(x1))))))))))))))))))))))) 0(2(0(2(1(2(2(1(1(2(0(2(1(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))))) -> 0(1(0(2(2(2(2(1(1(1(0(1(1(2(1(2(2(2(1(2(2(1(x1)))))))))))))))))))))) 0(0(0(0(2(2(1(0(1(1(0(0(0(1(1(1(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(2(2(0(0(0(1(2(0(1(0(2(2(2(2(2(0(1(2(2(2(0(1(0(x1)))))))))))))))))))))))) 2(0(1(0(1(1(1(0(0(0(2(2(1(2(2(2(1(0(0(0(2(2(0(x1))))))))))))))))))))))) -> 2(2(2(1(2(2(0(1(2(1(1(0(0(2(1(1(2(0(1(1(2(1(2(2(x1)))))))))))))))))))))))) 0(0(1(0(2(2(0(2(1(0(1(1(1(1(2(2(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))) -> 2(0(2(1(1(2(2(1(1(2(0(0(0(0(2(1(2(2(0(1(1(0(2(1(1(x1))))))))))))))))))))))))) 1(0(0(1(1(1(2(0(0(1(2(2(1(0(2(2(1(0(0(2(2(0(1(1(x1)))))))))))))))))))))))) -> 2(2(0(0(0(2(2(1(1(1(2(2(1(1(2(1(2(1(2(1(2(2(2(1(1(1(x1)))))))))))))))))))))))))) 1(0(0(2(2(2(1(1(0(0(2(1(1(2(0(0(2(0(2(1(0(2(0(1(x1)))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(2(0(1(2(2(2(2(0(0(2(0(1(1(2(1(2(1(1(x1)))))))))))))))))))))))))) 0(0(1(2(0(0(0(2(2(0(2(2(2(1(2(0(2(0(0(1(1(1(0(2(1(x1))))))))))))))))))))))))) -> 0(2(1(0(2(1(2(1(2(1(2(1(2(2(0(1(2(0(2(2(0(2(0(1(1(2(1(1(x1)))))))))))))))))))))))))))) 0(0(2(1(0(0(2(0(2(0(0(2(1(1(1(1(0(2(1(1(0(1(1(0(2(x1))))))))))))))))))))))))) -> 1(1(1(1(1(2(0(1(1(2(2(0(0(0(2(1(2(1(2(2(0(2(2(2(2(2(x1)))))))))))))))))))))))))) 0(1(0(0(2(1(1(1(1(0(2(0(2(2(1(0(1(1(2(1(1(1(0(2(0(x1))))))))))))))))))))))))) -> 0(0(2(1(2(0(2(2(0(2(1(0(0(0(0(2(1(2(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))) 0(2(2(1(2(2(0(0(0(0(1(2(1(0(2(1(2(1(0(0(0(2(1(0(1(x1))))))))))))))))))))))))) -> 2(2(1(2(2(1(2(2(1(1(2(2(1(2(2(1(2(0(0(2(0(0(2(0(2(2(x1)))))))))))))))))))))))))) 2(1(0(2(1(1(2(1(2(2(0(0(0(2(2(0(1(1(1(1(1(1(0(0(2(x1))))))))))))))))))))))))) -> 2(0(2(2(2(2(1(2(2(0(2(0(0(1(1(2(1(2(2(2(2(1(2(0(0(2(x1)))))))))))))))))))))))))) 2(2(1(1(1(1(2(1(2(1(2(1(2(1(2(0(2(1(2(1(2(0(2(1(0(x1))))))))))))))))))))))))) -> 2(1(2(2(0(2(2(1(2(2(0(2(2(2(1(2(2(0(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))) 0(1(0(2(1(2(0(2(1(2(0(0(2(0(2(1(1(0(1(1(1(1(1(0(2(0(x1)))))))))))))))))))))))))) -> 2(1(2(2(1(2(2(0(1(1(2(1(2(1(2(0(1(1(1(0(2(2(2(2(2(2(2(1(0(x1))))))))))))))))))))))))))))) 1(0(1(2(2(1(1(2(1(1(1(2(0(2(1(0(0(2(1(2(1(0(2(1(1(0(1(x1))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(0(2(1(2(2(0(0(2(1(1(0(1(2(2(1(0(2(0(2(0(0(x1)))))))))))))))))))))))))))) 2(0(0(2(2(1(1(0(1(2(2(2(0(2(2(2(2(0(1(0(2(2(0(0(1(0(1(x1))))))))))))))))))))))))))) -> 2(2(1(0(0(0(2(1(2(2(1(2(2(0(2(2(2(0(1(1(0(0(0(1(1(1(0(0(x1)))))))))))))))))))))))))))) 2(1(0(0(2(2(0(2(2(2(2(1(1(2(1(2(1(0(1(2(2(2(0(2(1(1(1(1(x1)))))))))))))))))))))))))))) -> 2(1(2(2(2(2(2(0(2(1(2(2(2(0(2(2(1(0(0(0(2(0(2(0(0(0(0(1(0(x1)))))))))))))))))))))))))))))
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