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Derivational Complexity: TRS pair #487102802
details
property
value
status
complete
benchmark
26871.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)
297.313 seconds
cpu usage
831.595
user time
824.019
system time
7.57606
max virtual memory
1.8914164E7
max residence set size
1.4922136E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 44 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 9 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), 6 ms] (12) typed CpxTrs (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1747 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 3 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 31 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 15 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1866 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 129 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 116 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 7 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 869 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), 6252 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1856 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1908 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1885 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1895 ms] (54) 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(1(1(2(3(0(1(1(x1)))))))) -> 0(1(1(2(1(3(0(1(x1)))))))) 3(0(2(4(1(0(3(3(x1)))))))) -> 3(0(2(1(4(0(3(3(x1)))))))) 3(2(5(0(1(3(4(5(3(x1))))))))) -> 3(2(5(1(0(3(4(5(3(x1))))))))) 4(3(0(5(5(0(1(1(2(x1))))))))) -> 4(3(0(5(5(1(0(1(2(x1))))))))) 1(0(5(4(5(0(0(0(1(4(x1)))))))))) -> 1(5(0(5(0(4(0(0(1(4(x1)))))))))) 1(4(2(5(2(2(5(0(3(1(x1)))))))))) -> 0(5(0(0(3(5(2(5(5(0(x1)))))))))) 3(3(2(3(3(2(1(3(3(2(x1)))))))))) -> 3(0(4(2(1(4(5(1(3(3(x1)))))))))) 4(2(2(1(4(3(4(0(1(2(x1)))))))))) -> 2(3(0(0(1(4(4(2(4(2(x1)))))))))) 4(2(2(2(1(2(2(5(5(3(x1)))))))))) -> 1(2(0(2(1(1(0(2(5(3(x1)))))))))) 4(4(5(3(3(2(4(1(3(5(x1)))))))))) -> 0(0(3(5(0(5(1(5(5(2(x1)))))))))) 5(0(3(5(1(5(3(2(3(1(x1)))))))))) -> 5(4(1(5(5(4(4(5(1(1(x1)))))))))) 0(2(5(1(2(3(5(0(5(5(4(x1))))))))))) -> 5(0(1(0(5(4(2(4(0(0(x1)))))))))) 0(4(1(1(4(0(5(3(2(4(0(x1))))))))))) -> 4(4(0(4(5(0(5(2(2(5(x1)))))))))) 0(4(3(1(5(5(1(5(1(1(3(x1))))))))))) -> 0(1(5(2(2(4(5(2(3(3(x1)))))))))) 1(1(3(0(5(3(3(3(3(2(0(x1))))))))))) -> 4(2(3(3(2(5(0(4(2(1(x1)))))))))) 1(1(5(3(0(1(5(0(0(2(3(x1))))))))))) -> 5(4(3(5(1(0(0(3(4(0(x1)))))))))) 1(3(4(3(3(4(2(4(0(2(2(x1))))))))))) -> 1(4(4(2(1(0(5(2(0(2(x1)))))))))) 1(4(2(1(1(1(5(2(5(0(5(x1))))))))))) -> 2(4(0(2(1(0(5(1(4(1(x1)))))))))) 1(4(2(4(4(0(2(3(5(5(1(x1))))))))))) -> 1(2(0(4(4(2(0(2(0(1(x1)))))))))) 2(1(0(2(2(5(0(0(2(3(3(x1))))))))))) -> 5(2(4(0(4(3(4(5(0(3(x1)))))))))) 2(1(2(3(2(4(1(5(0(3(2(x1))))))))))) -> 2(2(5(4(4(4(2(3(2(0(x1)))))))))) 2(2(1(0(3(4(3(4(4(4(5(x1))))))))))) -> 5(4(5(5(4(4(5(0(5(3(x1)))))))))) 2(5(3(1(1(3(4(5(3(2(4(x1))))))))))) -> 3(4(1(3(3(0(2(4(3(4(x1)))))))))) 3(0(2(0(0(5(0(3(3(4(1(x1))))))))))) -> 0(4(2(4(4(1(4(5(1(4(x1)))))))))) 3(0(5(3(4(4(5(3(2(5(4(x1))))))))))) -> 5(5(4(0(3(4(1(0(4(5(x1)))))))))) 3(1(0(4(5(4(3(2(2(0(3(x1))))))))))) -> 5(4(2(1(4(3(2(0(3(5(x1)))))))))) 3(5(2(5(3(5(2(3(4(4(3(x1))))))))))) -> 2(0(1(0(5(2(2(2(0(3(x1))))))))))
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