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Derivational Complexity: TRS pair #487103762
details
property
value
status
complete
benchmark
138142.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.03 seconds
cpu usage
805.477
user time
797.401
system time
8.07654
max virtual memory
1.8820332E7
max residence set size
1.5143976E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 164 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 19 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), 997 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 4 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 13 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1727 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 60 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 54 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 5 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 13 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 869 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), 7004 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2055 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2026 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2053 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2003 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(3(0(4(3(1(4(5(2(0(x1)))))))))))) -> 1(0(2(3(5(5(1(0(3(2(2(3(3(4(2(4(x1)))))))))))))))) 0(0(0(3(1(5(0(5(1(0(3(1(x1)))))))))))) -> 3(3(1(2(5(5(1(2(4(4(4(1(2(3(3(x1))))))))))))))) 0(0(1(1(4(3(4(0(5(1(4(3(x1)))))))))))) -> 3(4(1(1(2(5(5(2(2(2(2(3(5(0(4(2(x1)))))))))))))))) 0(0(1(3(4(3(4(4(4(0(3(0(x1)))))))))))) -> 2(5(5(0(2(5(2(5(4(4(2(1(1(2(4(3(5(1(x1)))))))))))))))))) 0(0(2(1(0(3(0(0(1(0(1(0(x1)))))))))))) -> 2(1(2(4(3(4(2(5(5(3(5(1(0(0(3(x1))))))))))))))) 0(0(4(3(0(0(1(4(0(1(3(5(x1)))))))))))) -> 5(1(5(1(0(2(2(2(3(3(4(5(3(4(2(2(2(0(x1)))))))))))))))))) 0(0(5(4(0(0(3(1(3(0(1(5(x1)))))))))))) -> 3(1(0(5(5(5(5(4(1(1(2(2(2(4(5(2(1(2(x1)))))))))))))))))) 0(0(5(4(5(0(5(0(0(3(0(3(x1)))))))))))) -> 2(5(5(3(3(0(4(1(4(2(1(1(2(4(4(1(0(x1))))))))))))))))) 0(1(0(0(1(3(1(0(3(2(5(0(x1)))))))))))) -> 5(1(1(4(0(3(2(2(4(2(2(1(2(5(1(x1))))))))))))))) 0(1(0(0(1(4(4(4(4(2(1(0(x1)))))))))))) -> 5(5(2(4(1(5(3(1(2(2(2(4(2(3(2(1(3(4(x1)))))))))))))))))) 0(1(1(3(4(4(0(2(0(1(1(1(x1)))))))))))) -> 0(5(3(2(2(2(5(1(4(1(3(2(4(2(2(1(2(1(x1)))))))))))))))))) 0(1(4(5(0(0(5(1(3(0(4(5(x1)))))))))))) -> 2(3(3(1(2(5(4(1(2(5(3(4(1(2(5(5(3(5(x1)))))))))))))))))) 0(2(0(4(4(1(2(1(0(4(3(3(x1)))))))))))) -> 2(1(2(4(3(5(2(5(2(5(3(4(4(1(x1)))))))))))))) 0(2(4(3(4(1(2(0(1(4(4(5(x1)))))))))))) -> 4(2(5(1(2(1(2(3(0(2(2(2(2(2(3(3(x1)))))))))))))))) 0(3(0(4(4(0(0(4(4(0(1(3(x1)))))))))))) -> 5(2(1(2(4(2(2(4(0(4(3(1(0(2(3(2(5(3(x1)))))))))))))))))) 0(3(4(1(3(4(1(0(1(4(3(1(x1)))))))))))) -> 2(2(2(3(2(0(2(5(2(2(2(1(5(2(4(1(x1)))))))))))))))) 0(3(4(3(5(0(0(4(4(3(1(1(x1)))))))))))) -> 4(2(1(1(2(2(5(1(2(0(4(5(4(2(1(2(5(x1))))))))))))))))) 0(3(5(4(0(1(1(4(0(5(5(0(x1)))))))))))) -> 3(2(4(1(0(5(1(1(2(3(5(3(2(1(2(2(x1)))))))))))))))) 0(4(0(3(1(4(0(4(1(4(5(5(x1)))))))))))) -> 2(5(1(2(2(4(2(5(2(5(4(1(0(4(x1)))))))))))))) 0(4(3(1(3(0(4(5(1(5(0(0(x1)))))))))))) -> 3(5(1(2(1(3(2(2(2(2(0(3(2(2(2(2(4(5(x1)))))))))))))))))) 0(4(3(5(3(1(4(4(0(0(0(4(x1)))))))))))) -> 5(2(3(3(2(4(3(5(2(3(4(2(2(3(3(2(0(x1))))))))))))))))) 0(4(5(0(0(2(0(3(3(5(5(5(x1)))))))))))) -> 2(4(2(2(2(5(1(0(2(4(4(2(1(2(2(x1))))))))))))))) 0(5(0(4(1(0(1(0(5(4(0(5(x1)))))))))))) -> 5(3(1(5(3(2(5(3(1(0(2(3(5(2(0(4(x1)))))))))))))))) 0(5(1(5(0(0(5(4(5(0(4(1(x1)))))))))))) -> 5(5(2(4(2(5(5(0(4(0(1(1(2(5(5(5(5(x1))))))))))))))))) 0(5(3(1(1(1(4(4(3(0(1(4(x1)))))))))))) -> 2(0(2(4(5(5(2(2(3(3(5(0(5(2(3(2(x1)))))))))))))))) 0(5(3(1(2(5(1(3(4(3(5(0(x1)))))))))))) -> 5(2(2(5(2(0(5(5(2(5(5(5(3(5(4(2(x1)))))))))))))))) 0(5(4(2(1(0(4(3(0(2(3(3(x1)))))))))))) -> 3(3(3(2(3(2(0(5(4(2(3(4(1(2(3(x1)))))))))))))))
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