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Derivational Complexity: TRS Innermost pair #487107110
details
property
value
status
complete
benchmark
91242.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
292.407 seconds
cpu usage
924.935
user time
917.474
system time
7.46015
max virtual memory
1.8817388E7
max residence set size
1.4980716E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 69 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) RewriteLemmaProof [LOWER BOUND(ID), 4784 ms] (14) BOUNDS(1, INF) (15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (16) CpxTRS (17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 36 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 291 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 147 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 140 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 2838 ms] (38) CdtProblem (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 26 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), 9231 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2622 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2610 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2552 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6251 ms] (54) CdtProblem (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 616 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(0(0(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1))))))))))))))))))))))))))) 0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1))))))))))))))))))))))))))) 0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1))))))))))))))))))))))))))) 0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))))) 0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1))))))))))))))))))))))))))) 0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1))))))))))))))))))))))))))) 0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1))))))))))))))))))))))))))) 0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1))))))))))))))))))))))))))) 0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1))))))))))))))))))))))))))) 0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1))))))))))))))))))))))))))) 1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1))))))))))))))))))))))))))) 1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1))))))))))))))))))))))))))) 1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1))))))))))))))))))))))))))) 1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1))))))))))))))))))))))))))) 1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1))))))))))))))))))))))))))) 1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1))))))))))))))))))))))))))) 1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1))))))))))))))))))))))))))) 1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1))))))))))))))))))))))))))) 1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1))))))))))))))))))))))))))) 1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
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return to Derivational Complexity: TRS Innermost