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Derivational Complexity: TRS pair #487102846
details
property
value
status
complete
benchmark
128056.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
294.428 seconds
cpu usage
954.101
user time
946.119
system time
7.98268
max virtual memory
1.874378E7
max residence set size
1.5290972E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 38 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), 10 ms] (10) typed CpxTrs (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 10 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), 1296 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 49 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), 1543 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 135 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 133 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), 1138 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), 7179 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2183 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2277 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2262 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2260 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5818 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6258 ms] (58) 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(0(1(2(2(2(3(3(2(2(0(1(3(1(x1)))))))))))))))))) -> 0(2(1(3(2(0(2(0(3(0(0(2(3(2(0(1(3(1(x1)))))))))))))))))) 0(0(1(0(1(2(3(0(3(1(2(3(1(3(3(2(1(1(x1)))))))))))))))))) -> 2(0(0(2(3(1(1(3(0(2(3(3(3(1(0(1(1(1(x1)))))))))))))))))) 0(0(1(1(0(0(0(2(2(3(1(0(3(1(2(1(0(3(x1)))))))))))))))))) -> 0(0(2(0(1(3(0(1(0(1(3(3(2(0(1(1(2(0(x1)))))))))))))))))) 0(0(2(0(2(2(0(3(3(2(0(1(2(1(0(3(1(0(x1)))))))))))))))))) -> 0(3(0(2(0(3(2(2(3(1(0(1(0(2(2(0(1(0(x1)))))))))))))))))) 0(0(2(0(3(2(0(2(0(0(1(3(3(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(2(0(2(0(1(3(0(2(3(2(3(0(1(2(0(3(x1)))))))))))))))))) 0(1(0(3(3(1(1(0(0(0(2(1(0(1(2(3(0(0(x1)))))))))))))))))) -> 0(1(0(1(1(0(1(0(0(0(3(0(2(1(3(3(2(0(x1)))))))))))))))))) 0(1(2(0(0(1(2(1(1(2(1(3(3(0(3(0(1(2(x1)))))))))))))))))) -> 0(0(2(2(1(3(3(2(1(3(1(1(1(0(1(2(0(0(x1)))))))))))))))))) 0(2(0(0(1(2(3(1(1(2(1(2(1(3(1(1(2(0(x1)))))))))))))))))) -> 1(1(1(1(1(2(0(2(2(1(1(3(2(2(0(3(0(0(x1)))))))))))))))))) 0(2(3(3(3(0(1(2(1(2(3(0(1(2(2(2(0(1(x1)))))))))))))))))) -> 1(2(0(3(3(2(2(3(2(2(1(3(0(2(1(0(0(1(x1)))))))))))))))))) 0(3(0(0(0(1(3(0(1(2(3(1(0(0(3(0(2(2(x1)))))))))))))))))) -> 0(0(2(3(3(1(0(0(2(3(2(0(0(0(1(1(3(0(x1)))))))))))))))))) 0(3(0(2(3(0(3(2(2(2(0(1(2(3(1(1(0(3(x1)))))))))))))))))) -> 0(2(2(0(3(0(0(3(3(3(0(2(1(2(1(1(3(2(x1)))))))))))))))))) 0(3(0(3(1(1(2(1(2(0(1(0(2(1(0(3(3(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(3(0(3(3(2(1(1(3(0(1(1(3(x1)))))))))))))))))) 0(3(0(3(2(0(3(3(1(2(1(1(0(3(1(3(0(0(x1)))))))))))))))))) -> 1(3(0(0(0(3(2(0(2(3(3(1(1(3(0(1(3(0(x1)))))))))))))))))) 0(3(1(0(3(3(0(0(3(0(2(1(3(1(2(3(3(2(x1)))))))))))))))))) -> 0(3(0(2(1(3(2(0(3(0(3(1(3(3(1(3(0(2(x1)))))))))))))))))) 0(3(1(2(0(3(0(2(1(2(1(2(1(2(2(3(2(0(x1)))))))))))))))))) -> 2(2(2(1(0(1(2(3(2(3(2(2(0(0(1(1(3(0(x1)))))))))))))))))) 0(3(1(3(1(2(3(3(1(2(1(1(1(2(1(3(0(3(x1)))))))))))))))))) -> 3(3(2(1(1(0(1(1(1(1(2(3(3(1(3(0(2(3(x1)))))))))))))))))) 0(3(3(0(2(0(1(2(0(3(1(0(3(3(3(1(0(3(x1)))))))))))))))))) -> 0(2(3(3(3(3(1(0(1(2(3(0(0(0(1(3(0(3(x1)))))))))))))))))) 0(3(3(3(0(3(3(0(3(0(3(0(3(3(1(0(1(2(x1)))))))))))))))))) -> 0(3(3(3(1(3(0(3(3(3(3(0(1(0(3(2(0(0(x1)))))))))))))))))) 1(0(0(0(2(2(2(1(2(1(2(1(2(1(2(1(2(2(x1)))))))))))))))))) -> 1(2(1(0(1(0(2(2(2(2(2(0(1(2(1(1(2(2(x1)))))))))))))))))) 1(0(0(3(1(1(1(2(3(2(3(0(0(1(3(0(0(1(x1)))))))))))))))))) -> 0(0(1(0(1(1(3(0(2(1(1(3(3(0(2(3(0(1(x1)))))))))))))))))) 1(0(1(2(1(1(3(0(0(2(0(3(1(1(2(3(2(2(x1)))))))))))))))))) -> 1(1(2(3(2(0(1(1(3(2(2(0(1(1(0(0(3(2(x1)))))))))))))))))) 1(0(2(1(0(0(3(1(0(3(2(2(1(1(2(2(3(3(x1)))))))))))))))))) -> 0(2(1(1(1(0(0(2(3(1(1(2(0(2(3(2(3(3(x1)))))))))))))))))) 1(1(0(1(2(3(0(1(2(2(1(0(1(0(0(3(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(1(0(0(1(0(3(2(0(2(2(3(1(0(x1))))))))))))))))))
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