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Derivational Complexity: TRS Innermost pair #487106438
details
property
value
status
complete
benchmark
25849.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)
296.847 seconds
cpu usage
901.547
user time
892.999
system time
8.54807
max virtual memory
1.9006952E7
max residence set size
1.554832E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 44 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) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxWeightedTrs (19) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 24 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 3 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 2309 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 197 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 153 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 27 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 2922 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 418 ms] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 2 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 6183 ms] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2693 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2701 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2714 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2680 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2663 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2738 ms] (56) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(1(2(3(2(3(0(x1))))))) -> 0(1(3(2(2(3(0(x1))))))) 1(4(4(5(5(1(2(4(x1)))))))) -> 1(5(2(5(1(4(4(4(x1)))))))) 2(4(2(0(5(1(0(4(x1)))))))) -> 2(0(1(5(2(4(0(4(x1)))))))) 4(2(2(0(5(3(2(3(x1)))))))) -> 4(2(0(2(5(3(2(3(x1)))))))) 0(5(2(1(0(2(5(5(4(1(x1)))))))))) -> 0(2(2(1(3(4(0(1(0(2(x1)))))))))) 1(3(0(2(2(5(5(0(4(0(x1)))))))))) -> 1(3(2(0(2(5(5(0(4(0(x1)))))))))) 4(2(3(1(0(5(0(2(2(0(x1)))))))))) -> 4(3(4(5(0(3(2(2(4(2(x1)))))))))) 5(1(1(0(4(0(4(2(4(0(x1)))))))))) -> 4(5(2(4(4(0(0(1(1(0(x1)))))))))) 5(2(1(2(3(5(5(0(4(2(x1)))))))))) -> 5(4(3(2(4(5(1(5(2(2(x1)))))))))) 0(0(1(0(3(5(3(0(2(4(5(x1))))))))))) -> 2(1(2(3(2(5(4(1(3(1(x1)))))))))) 0(0(1(4(0(1(1(5(1(0(3(x1))))))))))) -> 3(5(5(2(3(5(1(5(3(0(x1)))))))))) 0(2(1(2(5(0(0(5(3(0(0(x1))))))))))) -> 4(5(0(4(3(0(1(3(5(5(x1)))))))))) 0(3(5(1(0(2(5(1(0(0(4(x1))))))))))) -> 4(3(4(5(1(2(2(1(5(1(x1)))))))))) 0(4(3(3(1(1(2(1(4(2(0(x1))))))))))) -> 0(4(3(3(1(1(1(2(4(2(0(x1))))))))))) 1(1(3(1(3(5(3(5(1(2(4(x1))))))))))) -> 4(3(2(4(5(2(0(5(4(2(x1)))))))))) 1(2(3(4(0(5(3(1(1(2(4(x1))))))))))) -> 3(4(2(4(1(5(1(4(3(3(x1)))))))))) 1(3(5(0(4(4(3(2(1(0(4(x1))))))))))) -> 3(3(1(3(2(5(2(4(2(4(x1)))))))))) 1(4(4(2(5(5(5(3(5(5(2(x1))))))))))) -> 1(0(1(5(5(2(1(1(0(4(x1)))))))))) 1(4(4(4(0(1(4(2(1(4(2(x1))))))))))) -> 5(2(1(4(4(2(5(3(4(0(x1)))))))))) 1(5(1(0(5(5(3(3(2(3(0(x1))))))))))) -> 3(0(1(0(3(5(5(0(4(1(x1)))))))))) 1(5(1(1(0(4(5(1(2(1(2(x1))))))))))) -> 1(1(5(2(2(2(3(4(5(5(x1)))))))))) 1(5(3(4(5(0(5(5(1(3(3(x1))))))))))) -> 3(5(2(4(1(3(3(0(2(1(x1)))))))))) 1(5(4(0(5(1(4(2(4(4(3(x1))))))))))) -> 1(5(4(0(1(5(4(2(4(4(3(x1))))))))))) 3(0(4(0(4(4(1(4(1(0(0(x1))))))))))) -> 2(2(1(1(2(3(0(1(5(0(x1)))))))))) 3(1(5(2(2(5(0(1(5(0(0(x1))))))))))) -> 1(0(2(5(0(5(0(5(3(0(x1))))))))))
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