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Derivational Complexity: TRS pair #487103374
details
property
value
status
complete
benchmark
138254.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.203 seconds
cpu usage
890.011
user time
882.066
system time
7.94477
max virtual memory
1.8746308E7
max residence set size
1.5026244E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 84 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 27 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), 1233 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), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 25 ms] (28) CpxRNTS (29) CompletionProof [UPPER BOUND(ID), 6 ms] (30) CpxTypedWeightedCompleteTrs (31) NarrowingProof [BOTH BOUNDS(ID, ID), 2187 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 157 ms] (34) CpxRNTS (35) SimplificationProof [BOTH BOUNDS(ID, ID), 160 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 932 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 2 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), 7211 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2112 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2171 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2173 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2191 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2137 ms] (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(4(2(5(0(1(4(2(1(0(1(x1)))))))))))) -> 2(2(5(5(2(0(0(5(3(1(5(4(1(2(5(5(5(1(x1)))))))))))))))))) 0(1(1(1(4(0(4(5(0(4(3(1(x1)))))))))))) -> 5(2(5(2(5(5(5(0(4(4(3(1(5(2(2(5(3(x1))))))))))))))))) 0(1(4(0(0(3(2(4(3(1(0(4(x1)))))))))))) -> 2(5(5(3(1(2(2(5(4(3(1(1(5(3(5(x1))))))))))))))) 0(2(4(3(3(1(4(0(1(3(2(2(x1)))))))))))) -> 3(2(4(4(3(5(1(5(5(3(3(1(0(2(2(1(x1)))))))))))))))) 0(3(2(4(0(4(5(3(4(1(2(4(x1)))))))))))) -> 2(1(5(1(0(3(0(5(1(2(3(5(1(5(5(1(x1)))))))))))))))) 0(3(4(2(1(4(1(4(4(4(4(0(x1)))))))))))) -> 3(2(1(0(5(0(3(5(4(0(2(3(1(0(5(0(x1)))))))))))))))) 0(3(4(5(2(1(4(2(3(4(4(3(x1)))))))))))) -> 0(5(3(5(3(0(1(0(5(0(5(1(3(5(4(2(x1)))))))))))))))) 0(4(0(4(0(4(4(5(0(1(5(2(x1)))))))))))) -> 3(1(5(1(3(3(4(1(5(5(4(1(3(3(x1)))))))))))))) 0(4(2(3(5(4(4(4(1(2(2(4(x1)))))))))))) -> 0(4(2(0(3(0(5(0(2(1(2(5(1(5(5(4(x1)))))))))))))))) 0(4(2(4(1(1(3(0(0(4(1(4(x1)))))))))))) -> 2(3(1(5(4(5(2(0(2(1(5(1(3(1(x1)))))))))))))) 0(4(4(1(0(3(2(2(3(4(3(4(x1)))))))))))) -> 5(1(5(0(2(5(5(2(3(2(4(3(1(2(2(5(x1)))))))))))))))) 0(4(4(1(5(3(4(2(4(0(2(5(x1)))))))))))) -> 5(2(0(2(5(3(0(1(0(0(2(0(3(5(1(5(x1)))))))))))))))) 0(5(2(2(1(3(4(0(1(3(5(4(x1)))))))))))) -> 1(0(2(2(5(2(1(1(5(5(5(5(5(3(1(x1))))))))))))))) 0(5(3(2(1(3(4(0(4(4(0(0(x1)))))))))))) -> 4(2(5(5(5(2(2(5(5(3(2(5(5(0(5(x1))))))))))))))) 1(0(2(1(0(3(1(4(4(4(4(5(x1)))))))))))) -> 3(1(3(3(5(1(3(1(5(5(3(2(5(3(2(x1))))))))))))))) 1(0(5(0(5(2(4(0(4(2(1(1(x1)))))))))))) -> 5(1(1(0(0(5(5(5(0(2(1(0(2(5(5(4(3(x1))))))))))))))))) 1(2(1(4(0(1(4(0(1(5(1(1(x1)))))))))))) -> 2(2(2(3(1(5(2(2(2(0(1(3(3(5(5(0(x1)))))))))))))))) 1(2(3(0(4(0(3(0(4(4(3(4(x1)))))))))))) -> 2(3(5(3(0(5(0(2(3(1(4(5(0(0(x1)))))))))))))) 1(3(2(1(2(4(4(2(1(3(2(2(x1)))))))))))) -> 1(3(5(3(0(5(2(2(5(3(5(5(5(3(5(1(x1)))))))))))))))) 1(3(4(4(4(3(0(3(5(5(1(2(x1)))))))))))) -> 5(2(2(5(2(2(1(5(3(2(1(2(5(5(5(5(5(x1))))))))))))))))) 1(3(5(4(1(0(4(0(3(4(0(4(x1)))))))))))) -> 5(1(0(5(3(1(5(1(5(0(0(2(2(1(3(0(5(x1))))))))))))))))) 1(4(2(5(1(4(0(1(3(0(4(0(x1)))))))))))) -> 3(1(3(2(0(2(0(0(2(2(5(1(3(5(5(1(x1)))))))))))))))) 1(4(3(1(0(1(1(1(2(3(4(4(x1)))))))))))) -> 5(3(4(1(2(2(2(2(5(0(5(1(5(1(5(3(5(x1))))))))))))))))) 1(4(3(3(0(1(2(1(0(3(3(5(x1)))))))))))) -> 5(0(2(5(5(5(2(5(3(2(4(5(0(5(x1)))))))))))))) 2(1(1(3(4(4(3(4(4(0(4(3(x1)))))))))))) -> 2(3(3(1(0(0(1(2(2(2(5(1(1(2(4(1(2(3(x1))))))))))))))))))
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