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Derivational Complexity: TRS pair #487103240
details
property
value
status
complete
benchmark
27009.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.086 seconds
cpu usage
998.515
user time
991.24
system time
7.27429
max virtual memory
1.8781468E7
max residence set size
1.5396544E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 149 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 7 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), 1530 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 48 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 18 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 34 ms] (28) CpxRNTS (29) CompletionProof [UPPER BOUND(ID), 17 ms] (30) CpxTypedWeightedCompleteTrs (31) NarrowingProof [BOTH BOUNDS(ID, ID), 2289 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 148 ms] (34) CpxRNTS (35) SimplificationProof [BOTH BOUNDS(ID, ID), 109 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1037 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), 7149 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2147 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2114 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2155 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2150 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2146 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2193 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(1(0(2(3(x1))))))) -> 0(0(0(1(2(0(3(x1))))))) 0(4(1(3(5(2(5(x1))))))) -> 0(4(5(1(3(2(5(x1))))))) 2(1(1(0(0(3(2(1(x1)))))))) -> 2(1(0(1(3(0(2(1(x1)))))))) 1(3(1(2(0(0(5(0(4(2(x1)))))))))) -> 5(1(1(4(2(4(1(3(4(2(x1)))))))))) 2(0(0(4(5(4(1(4(3(4(x1)))))))))) -> 2(5(1(5(3(3(2(4(2(4(x1)))))))))) 2(2(5(1(1(3(4(3(1(1(x1)))))))))) -> 2(2(1(5(1(3(4(3(1(1(x1)))))))))) 0(0(2(5(0(2(3(4(1(5(3(x1))))))))))) -> 3(4(5(1(5(4(0(0(0(1(x1)))))))))) 0(2(0(3(5(3(0(2(0(5(0(x1))))))))))) -> 5(3(0(0(2(4(1(5(1(1(x1)))))))))) 0(2(1(1(2(1(3(3(3(0(5(x1))))))))))) -> 2(2(1(0(5(3(2(2(2(3(x1)))))))))) 0(3(5(2(0(5(3(4(5(0(2(x1))))))))))) -> 0(5(3(4(4(1(0(1(1(5(x1)))))))))) 0(4(0(1(5(0(3(0(1(0(4(x1))))))))))) -> 5(1(3(0(0(5(1(3(5(2(x1)))))))))) 0(5(2(3(2(5(1(4(1(5(1(x1))))))))))) -> 1(3(2(4(3(2(3(4(5(0(x1)))))))))) 1(0(3(3(1(5(2(3(3(0(4(x1))))))))))) -> 1(0(5(2(3(2(2(3(3(4(x1)))))))))) 1(1(1(0(1(2(3(2(3(2(1(x1))))))))))) -> 1(1(5(1(3(4(0(0(0(2(x1)))))))))) 1(1(5(0(2(1(0(0(5(2(4(x1))))))))))) -> 0(5(3(4(1(0(2(3(5(2(x1)))))))))) 1(4(3(0(5(0(5(5(0(1(5(x1))))))))))) -> 0(5(0(4(4(5(4(5(1(3(x1)))))))))) 2(2(1(3(2(3(3(1(0(3(0(x1))))))))))) -> 5(0(1(1(0(0(0(5(1(4(x1)))))))))) 2(2(4(5(4(4(4(2(1(0(0(x1))))))))))) -> 2(1(5(5(0(1(2(0(2(2(x1)))))))))) 2(3(5(0(2(2(1(5(3(2(0(x1))))))))))) -> 4(5(5(4(5(3(1(0(0(2(x1)))))))))) 2(4(1(0(1(0(2(3(4(0(5(x1))))))))))) -> 0(5(5(2(0(0(3(0(5(0(x1)))))))))) 2(5(0(1(3(4(4(5(4(3(1(x1))))))))))) -> 5(4(5(0(3(2(2(5(4(2(x1)))))))))) 3(0(1(3(2(3(0(4(3(4(2(x1))))))))))) -> 2(5(0(5(5(3(1(4(5(0(x1)))))))))) 3(0(4(5(4(4(2(5(0(1(3(x1))))))))))) -> 5(1(1(3(5(4(5(3(2(1(x1))))))))))
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