/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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WORST_CASE(?, O(n^1))
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, n^1).

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 68 ms]
(4) CpxRelTRS
(5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(6) CpxTRS
(7) CpxTrsMatchBoundsProof [FINISHED, 187 ms]
(8) BOUNDS(1, n^1)


----------------------------------------

(0)
Obligation:
The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).


The TRS R consists of the following rules:

   0(0(1(2(2(2(2(1(3(4(0(2(0(5(1(4(1(2(0(3(5(5(3(2(4(0(3(5(0(1(0(2(3(0(4(1(1(3(1(5(1(5(1(0(1(5(1(1(0(0(4(3(2(4(0(4(1(0(3(3(0(0(5(4(3(5(4(4(0(3(2(0(4(1(3(4(2(2(2(0(4(1(3(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(0(4(0(5(5(0(4(2(1(5(2(4(3(1(2(0(3(5(1(5(1(3(1(1(1(3(0(3(1(5(2(2(5(5(5(5(5(2(5(0(1(2(2(5(2(3(4(0(0(1(1(3(3(1(5(5(0(3(0(1(3(1(0(3(2(4(1(0(5(2(3(2(0(5(1(1(3(3(5(5(4(0(3(0(3(3(3(5(4(0(1(0(2(0(5(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(5(3(3(0(4(2(1(0(4(4(3(4(3(2(2(4(4(1(3(0(2(2(5(0(1(4(3(0(5(4(3(5(4(0(4(3(0(4(2(3(0(0(1(1(3(0(0(1(0(0(0(2(2(2(0(0(2(0(4(5(4(0(5(3(3(0(3(2(3(0(2(5(0(4(1(3(3(0(4(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(0(4(2(5(0(1(3(3(0(0(4(0(2(3(1(1(2(4(0(5(5(3(0(5(1(3(3(5(2(3(3(4(1(4(3(4(3(1(5(0(1(5(5(1(2(1(2(1(3(5(2(1(1(3(5(4(2(3(4(4(3(5(2(2(2(5(5(0(3(4(3(3(1(4(1(3(4(0(4(4(1(1(5(5(4(2(5(2(3(1(4(5(0(4(1(1(0(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(3(2(2(4(1(3(4(1(0(2(4(2(0(0(0(0(2(3(2(2(2(2(2(1(5(1(4(1(2(0(0(5(1(1(5(4(3(4(1(1(1(1(1(0(2(3(0(0(0(1(2(5(1(3(5(0(0(3(3(2(1(1(0(1(4(1(0(2(2(4(0(0(3(3(3(4(0(1(1(3(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(5(2(2(5(3(0(4(3(4(0(3(0(3(3(5(0(2(2(0(5(4(1(1(1(2(5(2(3(4(4(5(2(1(5(3(3(1(3(4(2(4(5(5(2(2(5(2(4(4(2(2(1(0(3(3(4(0(0(2(4(5(0(4(1(0(3(1(2(1(5(0(1(1(2(2(2(1(5(5(3(1(3(1(0(5(0(5(4(5(1(2(1(0(4(0(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(3(5(5(1(1(1(1(4(2(0(2(2(2(0(2(3(0(2(3(0(4(2(3(4(1(1(4(5(3(5(2(4(0(3(2(2(2(1(2(2(2(3(0(5(3(3(0(5(4(0(1(5(5(3(2(0(3(3(1(3(4(1(3(1(3(2(5(1(4(0(2(5(2(0(1(2(0(3(2(1(0(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(2(4(2(3(1(4(1(5(4(3(4(2(3(1(4(1(4(5(4(1(5(4(5(0(5(3(0(2(3(1(4(0(0(1(1(5(1(3(1(0(4(5(2(2(1(0(2(2(5(5(5(5(4(3(4(1(5(4(2(5(3(4(1(5(0(1(2(0(0(4(5(5(2(0(4(5(5(4(4(5(3(2(2(3(5(2(5(0(2(3(2(4(5(5(4(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(2(2(1(1(3(4(2(2(0(0(2(3(2(1(2(1(3(1(2(5(2(4(4(1(5(1(1(2(0(0(0(0(1(1(0(4(4(1(3(3(2(3(2(4(3(4(4(1(3(5(5(4(4(1(3(3(2(0(1(1(2(2(2(2(4(4(5(2(2(2(3(0(2(4(5(4(0(1(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(3(1(2(5(3(1(5(2(2(2(3(1(1(5(3(1(5(4(0(1(3(4(1(5(4(3(1(1(3(0(3(4(2(2(5(4(1(5(3(3(0(2(3(5(5(3(1(1(5(5(2(2(3(5(1(2(3(5(5(3(4(0(1(2(1(0(5(1(2(4(5(3(2(3(4(5(1(1(0(1(3(0(5(2(1(1(0(2(1(5(1(2(3(4(1(1(1(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(2(2(5(3(4(2(4(2(2(4(1(1(2(2(3(0(0(3(0(5(1(0(4(5(0(1(0(1(4(3(1(1(1(0(3(0(2(2(0(0(1(4(0(2(0(2(5(5(4(1(5(3(2(0(5(4(4(0(5(5(5(4(1(2(0(0(3(4(3(1(0(3(2(2(4(3(3(4(2(4(3(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(4(3(4(4(4(4(2(5(3(5(3(1(3(5(4(3(1(5(5(1(5(3(5(5(3(0(4(3(3(4(1(5(4(0(1(5(0(1(5(2(1(0(5(0(5(0(0(3(5(1(1(1(2(5(0(4(2(2(0(0(4(1(5(1(2(3(3(4(1(4(1(5(5(5(4(2(3(2(5(2(0(3(0(4(5(2(5(3(5(5(3(0(5(1(4(0(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(5(0(3(2(0(0(2(4(1(3(5(3(4(4(2(3(2(1(4(5(2(4(3(5(5(3(2(0(4(1(0(2(5(0(1(2(4(4(2(3(2(4(4(2(4(0(2(4(3(2(2(2(1(4(3(5(2(3(2(5(4(1(4(3(0(2(0(4(5(5(4(3(0(4(2(0(4(2(3(1(4(3(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(0(5(0(5(2(3(1(5(3(0(5(1(2(2(3(0(2(5(3(5(3(4(1(3(5(1(4(5(3(2(2(5(5(3(5(2(4(1(1(5(5(5(5(5(2(4(0(3(2(2(0(3(4(1(5(2(5(3(2(3(1(5(3(0(5(0(0(4(4(3(0(3(5(0(1(1(3(0(3(3(2(5(5(0(3(1(4(2(1(3(4(0(2(2(5(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(5(4(4(2(0(0(5(3(0(0(2(4(0(2(0(3(0(3(5(0(3(0(1(2(2(1(4(5(4(5(0(3(5(0(1(1(2(4(3(3(2(3(0(5(2(0(0(0(3(0(4(0(5(3(4(3(0(0(4(4(5(0(3(0(1(1(2(5(4(0(1(5(4(3(2(1(3(4(0(2(3(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(4(0(5(5(5(4(2(3(4(4(5(0(4(3(2(1(5(1(0(4(0(3(3(3(1(0(4(5(3(3(1(4(1(2(0(0(5(4(1(0(4(0(1(3(4(1(5(5(5(1(5(1(4(0(4(0(4(4(3(0(2(4(5(0(5(3(3(4(4(2(0(5(5(2(4(5(5(2(0(1(5(4(3(1(5(1(1(0(2(3(1(3(4(2(5(5(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(3(0(2(0(3(0(5(4(1(2(0(5(4(1(1(1(5(3(2(2(4(3(5(1(3(2(4(2(0(4(4(2(4(0(4(2(0(3(5(3(0(1(4(4(3(1(0(0(1(5(2(4(0(4(0(2(4(0(2(2(4(5(4(3(5(4(1(0(2(4(3(3(1(0(3(5(0(2(3(5(3(3(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(5(5(5(1(2(4(4(3(2(4(3(3(4(5(2(0(4(2(1(2(1(0(0(5(5(1(3(4(1(3(1(1(3(0(5(1(3(5(2(5(0(3(1(2(3(1(0(0(5(5(0(2(3(5(5(0(0(1(4(5(5(2(3(1(1(5(5(2(5(4(4(4(5(3(4(1(0(0(0(4(2(2(3(1(2(3(0(2(0(3(0(5(4(5(2(4(5(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(3(2(1(3(1(3(3(3(0(5(0(3(0(1(4(2(0(0(3(3(1(4(3(4(3(0(1(3(5(0(3(0(2(2(3(2(2(5(2(0(2(2(3(4(0(4(1(4(2(3(0(1(4(4(1(3(2(3(0(1(3(2(2(0(2(2(2(1(0(3(1(4(1(1(0(2(1(3(5(3(5(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(4(1(4(2(5(5(5(0(3(5(5(4(4(3(5(1(5(5(5(1(4(1(1(0(3(0(1(0(5(1(1(3(0(4(1(5(1(2(5(4(3(5(2(2(5(5(4(5(2(3(4(1(4(0(2(4(0(2(3(0(1(0(4(4(1(5(1(3(1(4(1(3(4(5(1(4(0(0(1(4(5(0(1(5(2(2(4(5(4(3(5(2(5(0(1(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(5(4(1(3(0(2(0(1(3(0(5(5(2(1(3(2(3(0(1(4(3(0(4(4(1(2(5(3(2(2(2(0(0(0(5(2(4(0(4(4(2(2(2(3(5(1(4(3(5(3(1(2(4(0(3(0(4(5(3(5(2(0(0(5(4(2(4(4(2(3(3(0(4(4(2(2(1(4(2(2(1(4(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(4(5(1(5(5(3(0(1(3(0(0(4(0(0(5(1(4(3(3(3(4(3(0(4(1(5(3(1(2(5(3(4(1(5(2(1(3(5(5(2(0(1(5(4(2(5(0(0(4(1(4(1(3(4(1(5(2(4(2(5(2(5(0(1(5(5(2(3(3(4(2(4(0(1(2(2(2(3(0(5(5(5(3(2(1(2(2(3(3(4(5(3(5(0(5(4(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(4(3(0(4(2(4(2(1(3(3(5(2(2(2(1(1(2(5(1(3(3(2(3(1(2(5(5(5(5(2(2(2(3(5(2(1(1(3(1(2(1(0(3(0(0(1(1(1(4(1(2(3(0(4(0(3(2(2(1(2(0(2(1(3(5(2(3(0(2(0(2(4(3(2(0(1(4(0(0(1(4(1(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(3(3(5(5(2(0(1(0(5(0(0(1(2(4(5(5(1(3(3(3(0(5(0(3(2(1(5(4(5(4(5(2(2(2(3(2(5(1(1(1(5(1(4(2(4(0(0(1(0(2(1(2(3(2(5(1(2(3(5(4(0(4(4(1(5(3(4(5(5(5(2(5(1(2(3(2(2(1(1(0(5(2(5(1(0(4(5(5(3(4(0(5(3(1(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(1(3(1(0(5(4(0(3(0(5(3(4(2(4(4(1(2(5(4(0(2(0(3(3(1(4(4(0(3(2(0(2(4(4(5(3(0(4(0(5(4(4(0(0(1(3(5(2(1(1(5(3(5(2(0(1(4(2(5(0(4(0(0(4(1(4(0(5(2(2(3(1(0(3(3(4(3(3(3(0(4(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(3(5(3(5(3(4(5(5(3(2(4(2(4(5(3(1(5(2(5(0(0(1(4(5(2(2(4(1(1(4(5(0(2(0(3(4(4(5(2(1(2(2(5(3(5(0(0(3(5(4(5(1(2(1(0(1(1(3(5(3(0(1(5(4(5(1(0(1(3(3(1(4(3(4(1(1(3(4(4(4(4(5(5(0(1(1(2(4(4(4(5(5(1(2(4(3(1(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(4(0(4(3(5(5(3(3(1(0(0(2(5(4(2(2(4(1(3(3(3(2(2(5(0(4(5(2(1(0(4(4(4(3(0(3(1(2(1(1(3(3(3(3(3(1(4(4(2(1(3(2(5(4(0(2(5(5(5(5(4(0(2(4(1(3(5(1(4(0(2(4(1(2(0(5(1(1(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(5(5(1(5(5(5(3(4(3(1(0(3(2(1(5(4(1(4(1(3(5(2(5(3(1(3(4(3(0(3(4(2(1(4(4(0(1(2(2(2(4(1(4(3(1(4(1(2(5(3(0(5(2(5(3(1(1(0(3(3(1(5(3(3(1(5(2(5(1(5(0(5(2(0(4(4(0(3(1(1(5(0(4(5(5(1(5(3(3(5(4(5(5(1(1(0(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(3(4(3(0(5(5(2(0(2(1(1(2(1(0(3(5(0(0(1(0(4(1(1(0(5(1(2(5(0(0(0(0(0(5(4(3(5(4(4(3(0(0(1(3(0(0(1(4(3(5(4(0(3(4(0(1(4(5(5(3(0(2(1(0(3(5(4(5(0(4(1(3(5(1(5(0(4(4(4(2(4(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(3(5(5(5(3(5(0(2(3(5(1(1(5(3(4(2(5(3(4(1(3(5(3(5(5(4(5(4(0(5(5(5(3(1(3(5(2(1(4(1(2(5(5(0(5(2(0(5(4(3(5(0(4(1(0(0(5(5(0(5(2(2(1(5(4(4(0(4(2(4(4(5(0(4(3(4(1(1(3(3(3(5(3(5(3(4(4(1(5(5(4(1(5(5(0(0(5(5(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(0(0(5(4(3(2(1(4(0(4(2(0(2(3(2(0(1(4(3(1(4(0(0(5(5(3(3(4(3(4(1(3(2(2(3(5(0(1(4(0(4(4(4(2(0(4(2(2(0(2(1(4(1(0(0(5(5(2(1(4(3(3(3(5(2(2(3(2(1(3(3(2(1(5(2(0(3(3(0(1(3(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(5(5(2(1(3(3(0(5(1(5(2(2(3(4(3(5(5(0(1(3(4(3(4(0(5(1(5(4(1(0(3(5(1(4(5(2(1(5(4(4(5(0(0(4(4(2(2(2(2(3(0(0(1(4(4(2(3(3(4(3(1(4(4(4(5(2(3(5(5(3(4(2(1(3(3(1(2(3(2(1(2(1(5(2(4(1(4(5(2(4(4(4(5(3(1(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(2(4(0(2(5(3(2(3(3(2(3(5(2(1(0(2(5(2(2(3(2(4(2(3(0(4(5(3(3(1(0(0(1(0(1(0(2(0(1(5(0(4(3(1(2(3(2(1(1(2(5(0(3(3(5(5(2(2(3(4(4(4(1(2(2(3(4(4(4(0(2(2(4(4(3(1(1(2(3(0(1(1(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(1(3(4(5(2(5(5(3(0(2(3(0(1(5(0(3(3(4(3(2(3(5(5(5(0(4(5(2(2(5(5(0(5(3(1(3(5(4(3(4(1(3(0(0(2(2(5(5(2(5(2(2(2(2(5(1(3(4(5(5(0(0(1(2(1(4(5(1(0(5(5(4(3(2(0(3(4(4(4(2(5(0(0(0(0(1(1(3(3(1(4(4(1(2(2(5(4(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(3(2(5(4(2(5(1(1(4(5(3(5(3(4(2(4(4(4(2(4(2(0(1(2(2(4(3(4(0(1(3(1(4(0(2(3(5(0(4(3(0(0(1(0(2(3(1(1(0(2(5(5(4(1(4(1(0(3(0(5(3(1(1(0(5(4(3(3(0(0(0(0(3(2(4(4(5(2(5(0(4(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(3(5(0(0(2(2(4(3(5(0(2(4(5(1(2(3(5(3(1(4(4(0(2(2(2(3(4(4(4(1(3(1(1(2(3(4(3(5(5(3(4(2(5(4(1(1(3(5(4(2(0(2(4(1(1(2(5(5(5(2(5(0(5(5(2(3(2(5(0(0(1(2(5(1(5(5(5(1(5(2(4(5(4(3(0(5(4(2(5(5(2(0(2(5(2(3(4(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   4(3(2(0(4(4(3(2(2(4(1(2(2(5(3(3(2(4(4(5(5(0(1(1(0(3(3(2(0(2(1(2(0(0(3(1(4(0(1(4(4(1(2(1(0(2(2(3(3(2(5(5(4(2(3(4(1(2(0(4(5(2(4(0(2(0(4(2(5(2(1(4(5(1(4(1(3(0(1(2(2(1(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(3(4(3(2(0(4(2(4(0(2(1(5(4(0(3(0(2(1(2(1(1(1(0(1(3(4(0(4(1(5(3(3(4(0(5(1(2(5(0(1(3(3(4(5(5(0(4(3(1(5(3(5(4(2(2(1(5(5(2(4(3(0(3(5(4(4(4(2(4(2(4(3(3(4(3(5(4(2(5(3(5(1(2(4(5(5(5(2(4(2(1(3(1(1(3(3(1(5(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   5(2(3(0(2(3(5(5(3(3(0(4(0(0(5(0(3(0(3(2(3(1(0(0(3(5(4(1(2(1(3(3(3(4(0(5(5(2(0(1(4(1(1(2(2(4(0(1(3(0(5(3(3(3(4(2(4(2(1(0(2(4(1(0(0(3(0(1(4(2(1(0(3(5(1(4(0(4(4(2(0(2(3(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(1(5(1(5(2(5(0(5(3(3(0(1(1(2(1(5(1(0(1(1(4(3(0(5(2(5(5(3(2(2(5(4(5(5(2(4(1(3(1(2(1(2(3(1(3(2(2(2(0(5(1(1(4(0(5(3(3(4(5(4(5(4(0(3(5(5(3(3(4(5(1(0(4(4(2(4(0(5(2(2(3(0(5(0(5(5(5(3(2(2(0(3(0(5(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

S is empty.
Rewrite Strategy: FULL
----------------------------------------

(1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID))
The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem:

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   encode_5(x_1) -> 5(encArg(x_1))


----------------------------------------

(2)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1).


The TRS R consists of the following rules:

   0(0(1(2(2(2(2(1(3(4(0(2(0(5(1(4(1(2(0(3(5(5(3(2(4(0(3(5(0(1(0(2(3(0(4(1(1(3(1(5(1(5(1(0(1(5(1(1(0(0(4(3(2(4(0(4(1(0(3(3(0(0(5(4(3(5(4(4(0(3(2(0(4(1(3(4(2(2(2(0(4(1(3(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(0(4(0(5(5(0(4(2(1(5(2(4(3(1(2(0(3(5(1(5(1(3(1(1(1(3(0(3(1(5(2(2(5(5(5(5(5(2(5(0(1(2(2(5(2(3(4(0(0(1(1(3(3(1(5(5(0(3(0(1(3(1(0(3(2(4(1(0(5(2(3(2(0(5(1(1(3(3(5(5(4(0(3(0(3(3(3(5(4(0(1(0(2(0(5(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(5(3(3(0(4(2(1(0(4(4(3(4(3(2(2(4(4(1(3(0(2(2(5(0(1(4(3(0(5(4(3(5(4(0(4(3(0(4(2(3(0(0(1(1(3(0(0(1(0(0(0(2(2(2(0(0(2(0(4(5(4(0(5(3(3(0(3(2(3(0(2(5(0(4(1(3(3(0(4(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(0(4(2(5(0(1(3(3(0(0(4(0(2(3(1(1(2(4(0(5(5(3(0(5(1(3(3(5(2(3(3(4(1(4(3(4(3(1(5(0(1(5(5(1(2(1(2(1(3(5(2(1(1(3(5(4(2(3(4(4(3(5(2(2(2(5(5(0(3(4(3(3(1(4(1(3(4(0(4(4(1(1(5(5(4(2(5(2(3(1(4(5(0(4(1(1(0(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(3(2(2(4(1(3(4(1(0(2(4(2(0(0(0(0(2(3(2(2(2(2(2(1(5(1(4(1(2(0(0(5(1(1(5(4(3(4(1(1(1(1(1(0(2(3(0(0(0(1(2(5(1(3(5(0(0(3(3(2(1(1(0(1(4(1(0(2(2(4(0(0(3(3(3(4(0(1(1(3(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(5(2(2(5(3(0(4(3(4(0(3(0(3(3(5(0(2(2(0(5(4(1(1(1(2(5(2(3(4(4(5(2(1(5(3(3(1(3(4(2(4(5(5(2(2(5(2(4(4(2(2(1(0(3(3(4(0(0(2(4(5(0(4(1(0(3(1(2(1(5(0(1(1(2(2(2(1(5(5(3(1(3(1(0(5(0(5(4(5(1(2(1(0(4(0(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(3(5(5(1(1(1(1(4(2(0(2(2(2(0(2(3(0(2(3(0(4(2(3(4(1(1(4(5(3(5(2(4(0(3(2(2(2(1(2(2(2(3(0(5(3(3(0(5(4(0(1(5(5(3(2(0(3(3(1(3(4(1(3(1(3(2(5(1(4(0(2(5(2(0(1(2(0(3(2(1(0(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(2(4(2(3(1(4(1(5(4(3(4(2(3(1(4(1(4(5(4(1(5(4(5(0(5(3(0(2(3(1(4(0(0(1(1(5(1(3(1(0(4(5(2(2(1(0(2(2(5(5(5(5(4(3(4(1(5(4(2(5(3(4(1(5(0(1(2(0(0(4(5(5(2(0(4(5(5(4(4(5(3(2(2(3(5(2(5(0(2(3(2(4(5(5(4(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(2(2(1(1(3(4(2(2(0(0(2(3(2(1(2(1(3(1(2(5(2(4(4(1(5(1(1(2(0(0(0(0(1(1(0(4(4(1(3(3(2(3(2(4(3(4(4(1(3(5(5(4(4(1(3(3(2(0(1(1(2(2(2(2(4(4(5(2(2(2(3(0(2(4(5(4(0(1(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(3(1(2(5(3(1(5(2(2(2(3(1(1(5(3(1(5(4(0(1(3(4(1(5(4(3(1(1(3(0(3(4(2(2(5(4(1(5(3(3(0(2(3(5(5(3(1(1(5(5(2(2(3(5(1(2(3(5(5(3(4(0(1(2(1(0(5(1(2(4(5(3(2(3(4(5(1(1(0(1(3(0(5(2(1(1(0(2(1(5(1(2(3(4(1(1(1(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(2(2(5(3(4(2(4(2(2(4(1(1(2(2(3(0(0(3(0(5(1(0(4(5(0(1(0(1(4(3(1(1(1(0(3(0(2(2(0(0(1(4(0(2(0(2(5(5(4(1(5(3(2(0(5(4(4(0(5(5(5(4(1(2(0(0(3(4(3(1(0(3(2(2(4(3(3(4(2(4(3(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(4(3(4(4(4(4(2(5(3(5(3(1(3(5(4(3(1(5(5(1(5(3(5(5(3(0(4(3(3(4(1(5(4(0(1(5(0(1(5(2(1(0(5(0(5(0(0(3(5(1(1(1(2(5(0(4(2(2(0(0(4(1(5(1(2(3(3(4(1(4(1(5(5(5(4(2(3(2(5(2(0(3(0(4(5(2(5(3(5(5(3(0(5(1(4(0(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(5(0(3(2(0(0(2(4(1(3(5(3(4(4(2(3(2(1(4(5(2(4(3(5(5(3(2(0(4(1(0(2(5(0(1(2(4(4(2(3(2(4(4(2(4(0(2(4(3(2(2(2(1(4(3(5(2(3(2(5(4(1(4(3(0(2(0(4(5(5(4(3(0(4(2(0(4(2(3(1(4(3(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(0(5(0(5(2(3(1(5(3(0(5(1(2(2(3(0(2(5(3(5(3(4(1(3(5(1(4(5(3(2(2(5(5(3(5(2(4(1(1(5(5(5(5(5(2(4(0(3(2(2(0(3(4(1(5(2(5(3(2(3(1(5(3(0(5(0(0(4(4(3(0(3(5(0(1(1(3(0(3(3(2(5(5(0(3(1(4(2(1(3(4(0(2(2(5(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(5(4(4(2(0(0(5(3(0(0(2(4(0(2(0(3(0(3(5(0(3(0(1(2(2(1(4(5(4(5(0(3(5(0(1(1(2(4(3(3(2(3(0(5(2(0(0(0(3(0(4(0(5(3(4(3(0(0(4(4(5(0(3(0(1(1(2(5(4(0(1(5(4(3(2(1(3(4(0(2(3(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(4(0(5(5(5(4(2(3(4(4(5(0(4(3(2(1(5(1(0(4(0(3(3(3(1(0(4(5(3(3(1(4(1(2(0(0(5(4(1(0(4(0(1(3(4(1(5(5(5(1(5(1(4(0(4(0(4(4(3(0(2(4(5(0(5(3(3(4(4(2(0(5(5(2(4(5(5(2(0(1(5(4(3(1(5(1(1(0(2(3(1(3(4(2(5(5(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(3(0(2(0(3(0(5(4(1(2(0(5(4(1(1(1(5(3(2(2(4(3(5(1(3(2(4(2(0(4(4(2(4(0(4(2(0(3(5(3(0(1(4(4(3(1(0(0(1(5(2(4(0(4(0(2(4(0(2(2(4(5(4(3(5(4(1(0(2(4(3(3(1(0(3(5(0(2(3(5(3(3(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(5(5(5(1(2(4(4(3(2(4(3(3(4(5(2(0(4(2(1(2(1(0(0(5(5(1(3(4(1(3(1(1(3(0(5(1(3(5(2(5(0(3(1(2(3(1(0(0(5(5(0(2(3(5(5(0(0(1(4(5(5(2(3(1(1(5(5(2(5(4(4(4(5(3(4(1(0(0(0(4(2(2(3(1(2(3(0(2(0(3(0(5(4(5(2(4(5(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(3(2(1(3(1(3(3(3(0(5(0(3(0(1(4(2(0(0(3(3(1(4(3(4(3(0(1(3(5(0(3(0(2(2(3(2(2(5(2(0(2(2(3(4(0(4(1(4(2(3(0(1(4(4(1(3(2(3(0(1(3(2(2(0(2(2(2(1(0(3(1(4(1(1(0(2(1(3(5(3(5(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(4(1(4(2(5(5(5(0(3(5(5(4(4(3(5(1(5(5(5(1(4(1(1(0(3(0(1(0(5(1(1(3(0(4(1(5(1(2(5(4(3(5(2(2(5(5(4(5(2(3(4(1(4(0(2(4(0(2(3(0(1(0(4(4(1(5(1(3(1(4(1(3(4(5(1(4(0(0(1(4(5(0(1(5(2(2(4(5(4(3(5(2(5(0(1(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(5(4(1(3(0(2(0(1(3(0(5(5(2(1(3(2(3(0(1(4(3(0(4(4(1(2(5(3(2(2(2(0(0(0(5(2(4(0(4(4(2(2(2(3(5(1(4(3(5(3(1(2(4(0(3(0(4(5(3(5(2(0(0(5(4(2(4(4(2(3(3(0(4(4(2(2(1(4(2(2(1(4(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(4(5(1(5(5(3(0(1(3(0(0(4(0(0(5(1(4(3(3(3(4(3(0(4(1(5(3(1(2(5(3(4(1(5(2(1(3(5(5(2(0(1(5(4(2(5(0(0(4(1(4(1(3(4(1(5(2(4(2(5(2(5(0(1(5(5(2(3(3(4(2(4(0(1(2(2(2(3(0(5(5(5(3(2(1(2(2(3(3(4(5(3(5(0(5(4(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(4(3(0(4(2(4(2(1(3(3(5(2(2(2(1(1(2(5(1(3(3(2(3(1(2(5(5(5(5(2(2(2(3(5(2(1(1(3(1(2(1(0(3(0(0(1(1(1(4(1(2(3(0(4(0(3(2(2(1(2(0(2(1(3(5(2(3(0(2(0(2(4(3(2(0(1(4(0(0(1(4(1(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(3(3(5(5(2(0(1(0(5(0(0(1(2(4(5(5(1(3(3(3(0(5(0(3(2(1(5(4(5(4(5(2(2(2(3(2(5(1(1(1(5(1(4(2(4(0(0(1(0(2(1(2(3(2(5(1(2(3(5(4(0(4(4(1(5(3(4(5(5(5(2(5(1(2(3(2(2(1(1(0(5(2(5(1(0(4(5(5(3(4(0(5(3(1(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(1(3(1(0(5(4(0(3(0(5(3(4(2(4(4(1(2(5(4(0(2(0(3(3(1(4(4(0(3(2(0(2(4(4(5(3(0(4(0(5(4(4(0(0(1(3(5(2(1(1(5(3(5(2(0(1(4(2(5(0(4(0(0(4(1(4(0(5(2(2(3(1(0(3(3(4(3(3(3(0(4(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(3(5(3(5(3(4(5(5(3(2(4(2(4(5(3(1(5(2(5(0(0(1(4(5(2(2(4(1(1(4(5(0(2(0(3(4(4(5(2(1(2(2(5(3(5(0(0(3(5(4(5(1(2(1(0(1(1(3(5(3(0(1(5(4(5(1(0(1(3(3(1(4(3(4(1(1(3(4(4(4(4(5(5(0(1(1(2(4(4(4(5(5(1(2(4(3(1(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(4(0(4(3(5(5(3(3(1(0(0(2(5(4(2(2(4(1(3(3(3(2(2(5(0(4(5(2(1(0(4(4(4(3(0(3(1(2(1(1(3(3(3(3(3(1(4(4(2(1(3(2(5(4(0(2(5(5(5(5(4(0(2(4(1(3(5(1(4(0(2(4(1(2(0(5(1(1(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(5(5(1(5(5(5(3(4(3(1(0(3(2(1(5(4(1(4(1(3(5(2(5(3(1(3(4(3(0(3(4(2(1(4(4(0(1(2(2(2(4(1(4(3(1(4(1(2(5(3(0(5(2(5(3(1(1(0(3(3(1(5(3(3(1(5(2(5(1(5(0(5(2(0(4(4(0(3(1(1(5(0(4(5(5(1(5(3(3(5(4(5(5(1(1(0(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(3(4(3(0(5(5(2(0(2(1(1(2(1(0(3(5(0(0(1(0(4(1(1(0(5(1(2(5(0(0(0(0(0(5(4(3(5(4(4(3(0(0(1(3(0(0(1(4(3(5(4(0(3(4(0(1(4(5(5(3(0(2(1(0(3(5(4(5(0(4(1(3(5(1(5(0(4(4(4(2(4(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(3(5(5(5(3(5(0(2(3(5(1(1(5(3(4(2(5(3(4(1(3(5(3(5(5(4(5(4(0(5(5(5(3(1(3(5(2(1(4(1(2(5(5(0(5(2(0(5(4(3(5(0(4(1(0(0(5(5(0(5(2(2(1(5(4(4(0(4(2(4(4(5(0(4(3(4(1(1(3(3(3(5(3(5(3(4(4(1(5(5(4(1(5(5(0(0(5(5(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(0(0(5(4(3(2(1(4(0(4(2(0(2(3(2(0(1(4(3(1(4(0(0(5(5(3(3(4(3(4(1(3(2(2(3(5(0(1(4(0(4(4(4(2(0(4(2(2(0(2(1(4(1(0(0(5(5(2(1(4(3(3(3(5(2(2(3(2(1(3(3(2(1(5(2(0(3(3(0(1(3(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(5(5(2(1(3(3(0(5(1(5(2(2(3(4(3(5(5(0(1(3(4(3(4(0(5(1(5(4(1(0(3(5(1(4(5(2(1(5(4(4(5(0(0(4(4(2(2(2(2(3(0(0(1(4(4(2(3(3(4(3(1(4(4(4(5(2(3(5(5(3(4(2(1(3(3(1(2(3(2(1(2(1(5(2(4(1(4(5(2(4(4(4(5(3(1(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(2(4(0(2(5(3(2(3(3(2(3(5(2(1(0(2(5(2(2(3(2(4(2(3(0(4(5(3(3(1(0(0(1(0(1(0(2(0(1(5(0(4(3(1(2(3(2(1(1(2(5(0(3(3(5(5(2(2(3(4(4(4(1(2(2(3(4(4(4(0(2(2(4(4(3(1(1(2(3(0(1(1(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(1(3(4(5(2(5(5(3(0(2(3(0(1(5(0(3(3(4(3(2(3(5(5(5(0(4(5(2(2(5(5(0(5(3(1(3(5(4(3(4(1(3(0(0(2(2(5(5(2(5(2(2(2(2(5(1(3(4(5(5(0(0(1(2(1(4(5(1(0(5(5(4(3(2(0(3(4(4(4(2(5(0(0(0(0(1(1(3(3(1(4(4(1(2(2(5(4(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(3(2(5(4(2(5(1(1(4(5(3(5(3(4(2(4(4(4(2(4(2(0(1(2(2(4(3(4(0(1(3(1(4(0(2(3(5(0(4(3(0(0(1(0(2(3(1(1(0(2(5(5(4(1(4(1(0(3(0(5(3(1(1(0(5(4(3(3(0(0(0(0(3(2(4(4(5(2(5(0(4(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(3(5(0(0(2(2(4(3(5(0(2(4(5(1(2(3(5(3(1(4(4(0(2(2(2(3(4(4(4(1(3(1(1(2(3(4(3(5(5(3(4(2(5(4(1(1(3(5(4(2(0(2(4(1(1(2(5(5(5(2(5(0(5(5(2(3(2(5(0(0(1(2(5(1(5(5(5(1(5(2(4(5(4(3(0(5(4(2(5(5(2(0(2(5(2(3(4(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   4(3(2(0(4(4(3(2(2(4(1(2(2(5(3(3(2(4(4(5(5(0(1(1(0(3(3(2(0(2(1(2(0(0(3(1(4(0(1(4(4(1(2(1(0(2(2(3(3(2(5(5(4(2(3(4(1(2(0(4(5(2(4(0(2(0(4(2(5(2(1(4(5(1(4(1(3(0(1(2(2(1(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(3(4(3(2(0(4(2(4(0(2(1(5(4(0(3(0(2(1(2(1(1(1(0(1(3(4(0(4(1(5(3(3(4(0(5(1(2(5(0(1(3(3(4(5(5(0(4(3(1(5(3(5(4(2(2(1(5(5(2(4(3(0(3(5(4(4(4(2(4(2(4(3(3(4(3(5(4(2(5(3(5(1(2(4(5(5(5(2(4(2(1(3(1(1(3(3(1(5(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   5(2(3(0(2(3(5(5(3(3(0(4(0(0(5(0(3(0(3(2(3(1(0(0(3(5(4(1(2(1(3(3(3(4(0(5(5(2(0(1(4(1(1(2(2(4(0(1(3(0(5(3(3(3(4(2(4(2(1(0(2(4(1(0(0(3(0(1(4(2(1(0(3(5(1(4(0(4(4(2(0(2(3(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(1(5(1(5(2(5(0(5(3(3(0(1(1(2(1(5(1(0(1(1(4(3(0(5(2(5(5(3(2(2(5(4(5(5(2(4(1(3(1(2(1(2(3(1(3(2(2(2(0(5(1(1(4(0(5(3(3(4(5(4(5(4(0(3(5(5(3(3(4(5(1(0(4(4(2(4(0(5(2(2(3(0(5(0(5(5(5(3(2(2(0(3(0(5(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

The (relative) TRS S consists of the following rules:

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   encode_5(x_1) -> 5(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

(3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID))
proved innermost termination of relative rules
----------------------------------------

(4)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1).


The TRS R consists of the following rules:

   0(0(1(2(2(2(2(1(3(4(0(2(0(5(1(4(1(2(0(3(5(5(3(2(4(0(3(5(0(1(0(2(3(0(4(1(1(3(1(5(1(5(1(0(1(5(1(1(0(0(4(3(2(4(0(4(1(0(3(3(0(0(5(4(3(5(4(4(0(3(2(0(4(1(3(4(2(2(2(0(4(1(3(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(0(4(0(5(5(0(4(2(1(5(2(4(3(1(2(0(3(5(1(5(1(3(1(1(1(3(0(3(1(5(2(2(5(5(5(5(5(2(5(0(1(2(2(5(2(3(4(0(0(1(1(3(3(1(5(5(0(3(0(1(3(1(0(3(2(4(1(0(5(2(3(2(0(5(1(1(3(3(5(5(4(0(3(0(3(3(3(5(4(0(1(0(2(0(5(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(5(3(3(0(4(2(1(0(4(4(3(4(3(2(2(4(4(1(3(0(2(2(5(0(1(4(3(0(5(4(3(5(4(0(4(3(0(4(2(3(0(0(1(1(3(0(0(1(0(0(0(2(2(2(0(0(2(0(4(5(4(0(5(3(3(0(3(2(3(0(2(5(0(4(1(3(3(0(4(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(0(4(2(5(0(1(3(3(0(0(4(0(2(3(1(1(2(4(0(5(5(3(0(5(1(3(3(5(2(3(3(4(1(4(3(4(3(1(5(0(1(5(5(1(2(1(2(1(3(5(2(1(1(3(5(4(2(3(4(4(3(5(2(2(2(5(5(0(3(4(3(3(1(4(1(3(4(0(4(4(1(1(5(5(4(2(5(2(3(1(4(5(0(4(1(1(0(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(3(2(2(4(1(3(4(1(0(2(4(2(0(0(0(0(2(3(2(2(2(2(2(1(5(1(4(1(2(0(0(5(1(1(5(4(3(4(1(1(1(1(1(0(2(3(0(0(0(1(2(5(1(3(5(0(0(3(3(2(1(1(0(1(4(1(0(2(2(4(0(0(3(3(3(4(0(1(1(3(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(5(2(2(5(3(0(4(3(4(0(3(0(3(3(5(0(2(2(0(5(4(1(1(1(2(5(2(3(4(4(5(2(1(5(3(3(1(3(4(2(4(5(5(2(2(5(2(4(4(2(2(1(0(3(3(4(0(0(2(4(5(0(4(1(0(3(1(2(1(5(0(1(1(2(2(2(1(5(5(3(1(3(1(0(5(0(5(4(5(1(2(1(0(4(0(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(3(5(5(1(1(1(1(4(2(0(2(2(2(0(2(3(0(2(3(0(4(2(3(4(1(1(4(5(3(5(2(4(0(3(2(2(2(1(2(2(2(3(0(5(3(3(0(5(4(0(1(5(5(3(2(0(3(3(1(3(4(1(3(1(3(2(5(1(4(0(2(5(2(0(1(2(0(3(2(1(0(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(2(4(2(3(1(4(1(5(4(3(4(2(3(1(4(1(4(5(4(1(5(4(5(0(5(3(0(2(3(1(4(0(0(1(1(5(1(3(1(0(4(5(2(2(1(0(2(2(5(5(5(5(4(3(4(1(5(4(2(5(3(4(1(5(0(1(2(0(0(4(5(5(2(0(4(5(5(4(4(5(3(2(2(3(5(2(5(0(2(3(2(4(5(5(4(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(2(2(1(1(3(4(2(2(0(0(2(3(2(1(2(1(3(1(2(5(2(4(4(1(5(1(1(2(0(0(0(0(1(1(0(4(4(1(3(3(2(3(2(4(3(4(4(1(3(5(5(4(4(1(3(3(2(0(1(1(2(2(2(2(4(4(5(2(2(2(3(0(2(4(5(4(0(1(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(3(1(2(5(3(1(5(2(2(2(3(1(1(5(3(1(5(4(0(1(3(4(1(5(4(3(1(1(3(0(3(4(2(2(5(4(1(5(3(3(0(2(3(5(5(3(1(1(5(5(2(2(3(5(1(2(3(5(5(3(4(0(1(2(1(0(5(1(2(4(5(3(2(3(4(5(1(1(0(1(3(0(5(2(1(1(0(2(1(5(1(2(3(4(1(1(1(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(2(2(5(3(4(2(4(2(2(4(1(1(2(2(3(0(0(3(0(5(1(0(4(5(0(1(0(1(4(3(1(1(1(0(3(0(2(2(0(0(1(4(0(2(0(2(5(5(4(1(5(3(2(0(5(4(4(0(5(5(5(4(1(2(0(0(3(4(3(1(0(3(2(2(4(3(3(4(2(4(3(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(4(3(4(4(4(4(2(5(3(5(3(1(3(5(4(3(1(5(5(1(5(3(5(5(3(0(4(3(3(4(1(5(4(0(1(5(0(1(5(2(1(0(5(0(5(0(0(3(5(1(1(1(2(5(0(4(2(2(0(0(4(1(5(1(2(3(3(4(1(4(1(5(5(5(4(2(3(2(5(2(0(3(0(4(5(2(5(3(5(5(3(0(5(1(4(0(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(5(0(3(2(0(0(2(4(1(3(5(3(4(4(2(3(2(1(4(5(2(4(3(5(5(3(2(0(4(1(0(2(5(0(1(2(4(4(2(3(2(4(4(2(4(0(2(4(3(2(2(2(1(4(3(5(2(3(2(5(4(1(4(3(0(2(0(4(5(5(4(3(0(4(2(0(4(2(3(1(4(3(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(0(5(0(5(2(3(1(5(3(0(5(1(2(2(3(0(2(5(3(5(3(4(1(3(5(1(4(5(3(2(2(5(5(3(5(2(4(1(1(5(5(5(5(5(2(4(0(3(2(2(0(3(4(1(5(2(5(3(2(3(1(5(3(0(5(0(0(4(4(3(0(3(5(0(1(1(3(0(3(3(2(5(5(0(3(1(4(2(1(3(4(0(2(2(5(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(5(4(4(2(0(0(5(3(0(0(2(4(0(2(0(3(0(3(5(0(3(0(1(2(2(1(4(5(4(5(0(3(5(0(1(1(2(4(3(3(2(3(0(5(2(0(0(0(3(0(4(0(5(3(4(3(0(0(4(4(5(0(3(0(1(1(2(5(4(0(1(5(4(3(2(1(3(4(0(2(3(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(4(0(5(5(5(4(2(3(4(4(5(0(4(3(2(1(5(1(0(4(0(3(3(3(1(0(4(5(3(3(1(4(1(2(0(0(5(4(1(0(4(0(1(3(4(1(5(5(5(1(5(1(4(0(4(0(4(4(3(0(2(4(5(0(5(3(3(4(4(2(0(5(5(2(4(5(5(2(0(1(5(4(3(1(5(1(1(0(2(3(1(3(4(2(5(5(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(3(0(2(0(3(0(5(4(1(2(0(5(4(1(1(1(5(3(2(2(4(3(5(1(3(2(4(2(0(4(4(2(4(0(4(2(0(3(5(3(0(1(4(4(3(1(0(0(1(5(2(4(0(4(0(2(4(0(2(2(4(5(4(3(5(4(1(0(2(4(3(3(1(0(3(5(0(2(3(5(3(3(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(5(5(5(1(2(4(4(3(2(4(3(3(4(5(2(0(4(2(1(2(1(0(0(5(5(1(3(4(1(3(1(1(3(0(5(1(3(5(2(5(0(3(1(2(3(1(0(0(5(5(0(2(3(5(5(0(0(1(4(5(5(2(3(1(1(5(5(2(5(4(4(4(5(3(4(1(0(0(0(4(2(2(3(1(2(3(0(2(0(3(0(5(4(5(2(4(5(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(3(2(1(3(1(3(3(3(0(5(0(3(0(1(4(2(0(0(3(3(1(4(3(4(3(0(1(3(5(0(3(0(2(2(3(2(2(5(2(0(2(2(3(4(0(4(1(4(2(3(0(1(4(4(1(3(2(3(0(1(3(2(2(0(2(2(2(1(0(3(1(4(1(1(0(2(1(3(5(3(5(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(4(1(4(2(5(5(5(0(3(5(5(4(4(3(5(1(5(5(5(1(4(1(1(0(3(0(1(0(5(1(1(3(0(4(1(5(1(2(5(4(3(5(2(2(5(5(4(5(2(3(4(1(4(0(2(4(0(2(3(0(1(0(4(4(1(5(1(3(1(4(1(3(4(5(1(4(0(0(1(4(5(0(1(5(2(2(4(5(4(3(5(2(5(0(1(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(5(4(1(3(0(2(0(1(3(0(5(5(2(1(3(2(3(0(1(4(3(0(4(4(1(2(5(3(2(2(2(0(0(0(5(2(4(0(4(4(2(2(2(3(5(1(4(3(5(3(1(2(4(0(3(0(4(5(3(5(2(0(0(5(4(2(4(4(2(3(3(0(4(4(2(2(1(4(2(2(1(4(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(4(5(1(5(5(3(0(1(3(0(0(4(0(0(5(1(4(3(3(3(4(3(0(4(1(5(3(1(2(5(3(4(1(5(2(1(3(5(5(2(0(1(5(4(2(5(0(0(4(1(4(1(3(4(1(5(2(4(2(5(2(5(0(1(5(5(2(3(3(4(2(4(0(1(2(2(2(3(0(5(5(5(3(2(1(2(2(3(3(4(5(3(5(0(5(4(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(4(3(0(4(2(4(2(1(3(3(5(2(2(2(1(1(2(5(1(3(3(2(3(1(2(5(5(5(5(2(2(2(3(5(2(1(1(3(1(2(1(0(3(0(0(1(1(1(4(1(2(3(0(4(0(3(2(2(1(2(0(2(1(3(5(2(3(0(2(0(2(4(3(2(0(1(4(0(0(1(4(1(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(3(3(5(5(2(0(1(0(5(0(0(1(2(4(5(5(1(3(3(3(0(5(0(3(2(1(5(4(5(4(5(2(2(2(3(2(5(1(1(1(5(1(4(2(4(0(0(1(0(2(1(2(3(2(5(1(2(3(5(4(0(4(4(1(5(3(4(5(5(5(2(5(1(2(3(2(2(1(1(0(5(2(5(1(0(4(5(5(3(4(0(5(3(1(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(1(3(1(0(5(4(0(3(0(5(3(4(2(4(4(1(2(5(4(0(2(0(3(3(1(4(4(0(3(2(0(2(4(4(5(3(0(4(0(5(4(4(0(0(1(3(5(2(1(1(5(3(5(2(0(1(4(2(5(0(4(0(0(4(1(4(0(5(2(2(3(1(0(3(3(4(3(3(3(0(4(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(3(5(3(5(3(4(5(5(3(2(4(2(4(5(3(1(5(2(5(0(0(1(4(5(2(2(4(1(1(4(5(0(2(0(3(4(4(5(2(1(2(2(5(3(5(0(0(3(5(4(5(1(2(1(0(1(1(3(5(3(0(1(5(4(5(1(0(1(3(3(1(4(3(4(1(1(3(4(4(4(4(5(5(0(1(1(2(4(4(4(5(5(1(2(4(3(1(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(4(0(4(3(5(5(3(3(1(0(0(2(5(4(2(2(4(1(3(3(3(2(2(5(0(4(5(2(1(0(4(4(4(3(0(3(1(2(1(1(3(3(3(3(3(1(4(4(2(1(3(2(5(4(0(2(5(5(5(5(4(0(2(4(1(3(5(1(4(0(2(4(1(2(0(5(1(1(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(5(5(1(5(5(5(3(4(3(1(0(3(2(1(5(4(1(4(1(3(5(2(5(3(1(3(4(3(0(3(4(2(1(4(4(0(1(2(2(2(4(1(4(3(1(4(1(2(5(3(0(5(2(5(3(1(1(0(3(3(1(5(3(3(1(5(2(5(1(5(0(5(2(0(4(4(0(3(1(1(5(0(4(5(5(1(5(3(3(5(4(5(5(1(1(0(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(3(4(3(0(5(5(2(0(2(1(1(2(1(0(3(5(0(0(1(0(4(1(1(0(5(1(2(5(0(0(0(0(0(5(4(3(5(4(4(3(0(0(1(3(0(0(1(4(3(5(4(0(3(4(0(1(4(5(5(3(0(2(1(0(3(5(4(5(0(4(1(3(5(1(5(0(4(4(4(2(4(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(3(5(5(5(3(5(0(2(3(5(1(1(5(3(4(2(5(3(4(1(3(5(3(5(5(4(5(4(0(5(5(5(3(1(3(5(2(1(4(1(2(5(5(0(5(2(0(5(4(3(5(0(4(1(0(0(5(5(0(5(2(2(1(5(4(4(0(4(2(4(4(5(0(4(3(4(1(1(3(3(3(5(3(5(3(4(4(1(5(5(4(1(5(5(0(0(5(5(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(0(0(5(4(3(2(1(4(0(4(2(0(2(3(2(0(1(4(3(1(4(0(0(5(5(3(3(4(3(4(1(3(2(2(3(5(0(1(4(0(4(4(4(2(0(4(2(2(0(2(1(4(1(0(0(5(5(2(1(4(3(3(3(5(2(2(3(2(1(3(3(2(1(5(2(0(3(3(0(1(3(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(5(5(2(1(3(3(0(5(1(5(2(2(3(4(3(5(5(0(1(3(4(3(4(0(5(1(5(4(1(0(3(5(1(4(5(2(1(5(4(4(5(0(0(4(4(2(2(2(2(3(0(0(1(4(4(2(3(3(4(3(1(4(4(4(5(2(3(5(5(3(4(2(1(3(3(1(2(3(2(1(2(1(5(2(4(1(4(5(2(4(4(4(5(3(1(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(2(4(0(2(5(3(2(3(3(2(3(5(2(1(0(2(5(2(2(3(2(4(2(3(0(4(5(3(3(1(0(0(1(0(1(0(2(0(1(5(0(4(3(1(2(3(2(1(1(2(5(0(3(3(5(5(2(2(3(4(4(4(1(2(2(3(4(4(4(0(2(2(4(4(3(1(1(2(3(0(1(1(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(1(3(4(5(2(5(5(3(0(2(3(0(1(5(0(3(3(4(3(2(3(5(5(5(0(4(5(2(2(5(5(0(5(3(1(3(5(4(3(4(1(3(0(0(2(2(5(5(2(5(2(2(2(2(5(1(3(4(5(5(0(0(1(2(1(4(5(1(0(5(5(4(3(2(0(3(4(4(4(2(5(0(0(0(0(1(1(3(3(1(4(4(1(2(2(5(4(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(3(2(5(4(2(5(1(1(4(5(3(5(3(4(2(4(4(4(2(4(2(0(1(2(2(4(3(4(0(1(3(1(4(0(2(3(5(0(4(3(0(0(1(0(2(3(1(1(0(2(5(5(4(1(4(1(0(3(0(5(3(1(1(0(5(4(3(3(0(0(0(0(3(2(4(4(5(2(5(0(4(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(3(5(0(0(2(2(4(3(5(0(2(4(5(1(2(3(5(3(1(4(4(0(2(2(2(3(4(4(4(1(3(1(1(2(3(4(3(5(5(3(4(2(5(4(1(1(3(5(4(2(0(2(4(1(1(2(5(5(5(2(5(0(5(5(2(3(2(5(0(0(1(2(5(1(5(5(5(1(5(2(4(5(4(3(0(5(4(2(5(5(2(0(2(5(2(3(4(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   4(3(2(0(4(4(3(2(2(4(1(2(2(5(3(3(2(4(4(5(5(0(1(1(0(3(3(2(0(2(1(2(0(0(3(1(4(0(1(4(4(1(2(1(0(2(2(3(3(2(5(5(4(2(3(4(1(2(0(4(5(2(4(0(2(0(4(2(5(2(1(4(5(1(4(1(3(0(1(2(2(1(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(3(4(3(2(0(4(2(4(0(2(1(5(4(0(3(0(2(1(2(1(1(1(0(1(3(4(0(4(1(5(3(3(4(0(5(1(2(5(0(1(3(3(4(5(5(0(4(3(1(5(3(5(4(2(2(1(5(5(2(4(3(0(3(5(4(4(4(2(4(2(4(3(3(4(3(5(4(2(5(3(5(1(2(4(5(5(5(2(4(2(1(3(1(1(3(3(1(5(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   5(2(3(0(2(3(5(5(3(3(0(4(0(0(5(0(3(0(3(2(3(1(0(0(3(5(4(1(2(1(3(3(3(4(0(5(5(2(0(1(4(1(1(2(2(4(0(1(3(0(5(3(3(3(4(2(4(2(1(0(2(4(1(0(0(3(0(1(4(2(1(0(3(5(1(4(0(4(4(2(0(2(3(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(1(5(1(5(2(5(0(5(3(3(0(1(1(2(1(5(1(0(1(1(4(3(0(5(2(5(5(3(2(2(5(4(5(5(2(4(1(3(1(2(1(2(3(1(3(2(2(2(0(5(1(1(4(0(5(3(3(4(5(4(5(4(0(3(5(5(3(3(4(5(1(0(4(4(2(4(0(5(2(2(3(0(5(0(5(5(5(3(2(2(0(3(0(5(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

The (relative) TRS S consists of the following rules:

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   encode_5(x_1) -> 5(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

(5) RelTrsToTrsProof (UPPER BOUND(ID))
transformed relative TRS to TRS
----------------------------------------

(6)
Obligation:
The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, n^1).


The TRS R consists of the following rules:

   0(0(1(2(2(2(2(1(3(4(0(2(0(5(1(4(1(2(0(3(5(5(3(2(4(0(3(5(0(1(0(2(3(0(4(1(1(3(1(5(1(5(1(0(1(5(1(1(0(0(4(3(2(4(0(4(1(0(3(3(0(0(5(4(3(5(4(4(0(3(2(0(4(1(3(4(2(2(2(0(4(1(3(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(0(4(0(5(5(0(4(2(1(5(2(4(3(1(2(0(3(5(1(5(1(3(1(1(1(3(0(3(1(5(2(2(5(5(5(5(5(2(5(0(1(2(2(5(2(3(4(0(0(1(1(3(3(1(5(5(0(3(0(1(3(1(0(3(2(4(1(0(5(2(3(2(0(5(1(1(3(3(5(5(4(0(3(0(3(3(3(5(4(0(1(0(2(0(5(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(5(3(3(0(4(2(1(0(4(4(3(4(3(2(2(4(4(1(3(0(2(2(5(0(1(4(3(0(5(4(3(5(4(0(4(3(0(4(2(3(0(0(1(1(3(0(0(1(0(0(0(2(2(2(0(0(2(0(4(5(4(0(5(3(3(0(3(2(3(0(2(5(0(4(1(3(3(0(4(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(0(4(2(5(0(1(3(3(0(0(4(0(2(3(1(1(2(4(0(5(5(3(0(5(1(3(3(5(2(3(3(4(1(4(3(4(3(1(5(0(1(5(5(1(2(1(2(1(3(5(2(1(1(3(5(4(2(3(4(4(3(5(2(2(2(5(5(0(3(4(3(3(1(4(1(3(4(0(4(4(1(1(5(5(4(2(5(2(3(1(4(5(0(4(1(1(0(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(3(2(2(4(1(3(4(1(0(2(4(2(0(0(0(0(2(3(2(2(2(2(2(1(5(1(4(1(2(0(0(5(1(1(5(4(3(4(1(1(1(1(1(0(2(3(0(0(0(1(2(5(1(3(5(0(0(3(3(2(1(1(0(1(4(1(0(2(2(4(0(0(3(3(3(4(0(1(1(3(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(5(2(2(5(3(0(4(3(4(0(3(0(3(3(5(0(2(2(0(5(4(1(1(1(2(5(2(3(4(4(5(2(1(5(3(3(1(3(4(2(4(5(5(2(2(5(2(4(4(2(2(1(0(3(3(4(0(0(2(4(5(0(4(1(0(3(1(2(1(5(0(1(1(2(2(2(1(5(5(3(1(3(1(0(5(0(5(4(5(1(2(1(0(4(0(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(3(5(5(1(1(1(1(4(2(0(2(2(2(0(2(3(0(2(3(0(4(2(3(4(1(1(4(5(3(5(2(4(0(3(2(2(2(1(2(2(2(3(0(5(3(3(0(5(4(0(1(5(5(3(2(0(3(3(1(3(4(1(3(1(3(2(5(1(4(0(2(5(2(0(1(2(0(3(2(1(0(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(2(4(2(3(1(4(1(5(4(3(4(2(3(1(4(1(4(5(4(1(5(4(5(0(5(3(0(2(3(1(4(0(0(1(1(5(1(3(1(0(4(5(2(2(1(0(2(2(5(5(5(5(4(3(4(1(5(4(2(5(3(4(1(5(0(1(2(0(0(4(5(5(2(0(4(5(5(4(4(5(3(2(2(3(5(2(5(0(2(3(2(4(5(5(4(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(2(2(1(1(3(4(2(2(0(0(2(3(2(1(2(1(3(1(2(5(2(4(4(1(5(1(1(2(0(0(0(0(1(1(0(4(4(1(3(3(2(3(2(4(3(4(4(1(3(5(5(4(4(1(3(3(2(0(1(1(2(2(2(2(4(4(5(2(2(2(3(0(2(4(5(4(0(1(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(3(1(2(5(3(1(5(2(2(2(3(1(1(5(3(1(5(4(0(1(3(4(1(5(4(3(1(1(3(0(3(4(2(2(5(4(1(5(3(3(0(2(3(5(5(3(1(1(5(5(2(2(3(5(1(2(3(5(5(3(4(0(1(2(1(0(5(1(2(4(5(3(2(3(4(5(1(1(0(1(3(0(5(2(1(1(0(2(1(5(1(2(3(4(1(1(1(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(2(2(5(3(4(2(4(2(2(4(1(1(2(2(3(0(0(3(0(5(1(0(4(5(0(1(0(1(4(3(1(1(1(0(3(0(2(2(0(0(1(4(0(2(0(2(5(5(4(1(5(3(2(0(5(4(4(0(5(5(5(4(1(2(0(0(3(4(3(1(0(3(2(2(4(3(3(4(2(4(3(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(4(3(4(4(4(4(2(5(3(5(3(1(3(5(4(3(1(5(5(1(5(3(5(5(3(0(4(3(3(4(1(5(4(0(1(5(0(1(5(2(1(0(5(0(5(0(0(3(5(1(1(1(2(5(0(4(2(2(0(0(4(1(5(1(2(3(3(4(1(4(1(5(5(5(4(2(3(2(5(2(0(3(0(4(5(2(5(3(5(5(3(0(5(1(4(0(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(5(0(3(2(0(0(2(4(1(3(5(3(4(4(2(3(2(1(4(5(2(4(3(5(5(3(2(0(4(1(0(2(5(0(1(2(4(4(2(3(2(4(4(2(4(0(2(4(3(2(2(2(1(4(3(5(2(3(2(5(4(1(4(3(0(2(0(4(5(5(4(3(0(4(2(0(4(2(3(1(4(3(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(0(5(0(5(2(3(1(5(3(0(5(1(2(2(3(0(2(5(3(5(3(4(1(3(5(1(4(5(3(2(2(5(5(3(5(2(4(1(1(5(5(5(5(5(2(4(0(3(2(2(0(3(4(1(5(2(5(3(2(3(1(5(3(0(5(0(0(4(4(3(0(3(5(0(1(1(3(0(3(3(2(5(5(0(3(1(4(2(1(3(4(0(2(2(5(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(4(5(4(4(2(0(0(5(3(0(0(2(4(0(2(0(3(0(3(5(0(3(0(1(2(2(1(4(5(4(5(0(3(5(0(1(1(2(4(3(3(2(3(0(5(2(0(0(0(3(0(4(0(5(3(4(3(0(0(4(4(5(0(3(0(1(1(2(5(4(0(1(5(4(3(2(1(3(4(0(2(3(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(4(0(5(5(5(4(2(3(4(4(5(0(4(3(2(1(5(1(0(4(0(3(3(3(1(0(4(5(3(3(1(4(1(2(0(0(5(4(1(0(4(0(1(3(4(1(5(5(5(1(5(1(4(0(4(0(4(4(3(0(2(4(5(0(5(3(3(4(4(2(0(5(5(2(4(5(5(2(0(1(5(4(3(1(5(1(1(0(2(3(1(3(4(2(5(5(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(3(0(2(0(3(0(5(4(1(2(0(5(4(1(1(1(5(3(2(2(4(3(5(1(3(2(4(2(0(4(4(2(4(0(4(2(0(3(5(3(0(1(4(4(3(1(0(0(1(5(2(4(0(4(0(2(4(0(2(2(4(5(4(3(5(4(1(0(2(4(3(3(1(0(3(5(0(2(3(5(3(3(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(5(5(5(1(2(4(4(3(2(4(3(3(4(5(2(0(4(2(1(2(1(0(0(5(5(1(3(4(1(3(1(1(3(0(5(1(3(5(2(5(0(3(1(2(3(1(0(0(5(5(0(2(3(5(5(0(0(1(4(5(5(2(3(1(1(5(5(2(5(4(4(4(5(3(4(1(0(0(0(4(2(2(3(1(2(3(0(2(0(3(0(5(4(5(2(4(5(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(3(2(1(3(1(3(3(3(0(5(0(3(0(1(4(2(0(0(3(3(1(4(3(4(3(0(1(3(5(0(3(0(2(2(3(2(2(5(2(0(2(2(3(4(0(4(1(4(2(3(0(1(4(4(1(3(2(3(0(1(3(2(2(0(2(2(2(1(0(3(1(4(1(1(0(2(1(3(5(3(5(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(4(1(4(2(5(5(5(0(3(5(5(4(4(3(5(1(5(5(5(1(4(1(1(0(3(0(1(0(5(1(1(3(0(4(1(5(1(2(5(4(3(5(2(2(5(5(4(5(2(3(4(1(4(0(2(4(0(2(3(0(1(0(4(4(1(5(1(3(1(4(1(3(4(5(1(4(0(0(1(4(5(0(1(5(2(2(4(5(4(3(5(2(5(0(1(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(5(4(1(3(0(2(0(1(3(0(5(5(2(1(3(2(3(0(1(4(3(0(4(4(1(2(5(3(2(2(2(0(0(0(5(2(4(0(4(4(2(2(2(3(5(1(4(3(5(3(1(2(4(0(3(0(4(5(3(5(2(0(0(5(4(2(4(4(2(3(3(0(4(4(2(2(1(4(2(2(1(4(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(4(5(1(5(5(3(0(1(3(0(0(4(0(0(5(1(4(3(3(3(4(3(0(4(1(5(3(1(2(5(3(4(1(5(2(1(3(5(5(2(0(1(5(4(2(5(0(0(4(1(4(1(3(4(1(5(2(4(2(5(2(5(0(1(5(5(2(3(3(4(2(4(0(1(2(2(2(3(0(5(5(5(3(2(1(2(2(3(3(4(5(3(5(0(5(4(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(4(3(0(4(2(4(2(1(3(3(5(2(2(2(1(1(2(5(1(3(3(2(3(1(2(5(5(5(5(2(2(2(3(5(2(1(1(3(1(2(1(0(3(0(0(1(1(1(4(1(2(3(0(4(0(3(2(2(1(2(0(2(1(3(5(2(3(0(2(0(2(4(3(2(0(1(4(0(0(1(4(1(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(3(3(5(5(2(0(1(0(5(0(0(1(2(4(5(5(1(3(3(3(0(5(0(3(2(1(5(4(5(4(5(2(2(2(3(2(5(1(1(1(5(1(4(2(4(0(0(1(0(2(1(2(3(2(5(1(2(3(5(4(0(4(4(1(5(3(4(5(5(5(2(5(1(2(3(2(2(1(1(0(5(2(5(1(0(4(5(5(3(4(0(5(3(1(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(1(3(1(0(5(4(0(3(0(5(3(4(2(4(4(1(2(5(4(0(2(0(3(3(1(4(4(0(3(2(0(2(4(4(5(3(0(4(0(5(4(4(0(0(1(3(5(2(1(1(5(3(5(2(0(1(4(2(5(0(4(0(0(4(1(4(0(5(2(2(3(1(0(3(3(4(3(3(3(0(4(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(5(3(5(3(5(3(4(5(5(3(2(4(2(4(5(3(1(5(2(5(0(0(1(4(5(2(2(4(1(1(4(5(0(2(0(3(4(4(5(2(1(2(2(5(3(5(0(0(3(5(4(5(1(2(1(0(1(1(3(5(3(0(1(5(4(5(1(0(1(3(3(1(4(3(4(1(1(3(4(4(4(4(5(5(0(1(1(2(4(4(4(5(5(1(2(4(3(1(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(4(0(4(3(5(5(3(3(1(0(0(2(5(4(2(2(4(1(3(3(3(2(2(5(0(4(5(2(1(0(4(4(4(3(0(3(1(2(1(1(3(3(3(3(3(1(4(4(2(1(3(2(5(4(0(2(5(5(5(5(4(0(2(4(1(3(5(1(4(0(2(4(1(2(0(5(1(1(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(5(5(1(5(5(5(3(4(3(1(0(3(2(1(5(4(1(4(1(3(5(2(5(3(1(3(4(3(0(3(4(2(1(4(4(0(1(2(2(2(4(1(4(3(1(4(1(2(5(3(0(5(2(5(3(1(1(0(3(3(1(5(3(3(1(5(2(5(1(5(0(5(2(0(4(4(0(3(1(1(5(0(4(5(5(1(5(3(3(5(4(5(5(1(1(0(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2(3(4(3(0(5(5(2(0(2(1(1(2(1(0(3(5(0(0(1(0(4(1(1(0(5(1(2(5(0(0(0(0(0(5(4(3(5(4(4(3(0(0(1(3(0(0(1(4(3(5(4(0(3(4(0(1(4(5(5(3(0(2(1(0(3(5(4(5(0(4(1(3(5(1(5(0(4(4(4(2(4(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(3(5(5(5(3(5(0(2(3(5(1(1(5(3(4(2(5(3(4(1(3(5(3(5(5(4(5(4(0(5(5(5(3(1(3(5(2(1(4(1(2(5(5(0(5(2(0(5(4(3(5(0(4(1(0(0(5(5(0(5(2(2(1(5(4(4(0(4(2(4(4(5(0(4(3(4(1(1(3(3(3(5(3(5(3(4(4(1(5(5(4(1(5(5(0(0(5(5(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(0(0(5(4(3(2(1(4(0(4(2(0(2(3(2(0(1(4(3(1(4(0(0(5(5(3(3(4(3(4(1(3(2(2(3(5(0(1(4(0(4(4(4(2(0(4(2(2(0(2(1(4(1(0(0(5(5(2(1(4(3(3(3(5(2(2(3(2(1(3(3(2(1(5(2(0(3(3(0(1(3(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(5(5(2(1(3(3(0(5(1(5(2(2(3(4(3(5(5(0(1(3(4(3(4(0(5(1(5(4(1(0(3(5(1(4(5(2(1(5(4(4(5(0(0(4(4(2(2(2(2(3(0(0(1(4(4(2(3(3(4(3(1(4(4(4(5(2(3(5(5(3(4(2(1(3(3(1(2(3(2(1(2(1(5(2(4(1(4(5(2(4(4(4(5(3(1(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(2(4(0(2(5(3(2(3(3(2(3(5(2(1(0(2(5(2(2(3(2(4(2(3(0(4(5(3(3(1(0(0(1(0(1(0(2(0(1(5(0(4(3(1(2(3(2(1(1(2(5(0(3(3(5(5(2(2(3(4(4(4(1(2(2(3(4(4(4(0(2(2(4(4(3(1(1(2(3(0(1(1(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(1(3(4(5(2(5(5(3(0(2(3(0(1(5(0(3(3(4(3(2(3(5(5(5(0(4(5(2(2(5(5(0(5(3(1(3(5(4(3(4(1(3(0(0(2(2(5(5(2(5(2(2(2(2(5(1(3(4(5(5(0(0(1(2(1(4(5(1(0(5(5(4(3(2(0(3(4(4(4(2(5(0(0(0(0(1(1(3(3(1(4(4(1(2(2(5(4(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(3(2(5(4(2(5(1(1(4(5(3(5(3(4(2(4(4(4(2(4(2(0(1(2(2(4(3(4(0(1(3(1(4(0(2(3(5(0(4(3(0(0(1(0(2(3(1(1(0(2(5(5(4(1(4(1(0(3(0(5(3(1(1(0(5(4(3(3(0(0(0(0(3(2(4(4(5(2(5(0(4(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(3(5(0(0(2(2(4(3(5(0(2(4(5(1(2(3(5(3(1(4(4(0(2(2(2(3(4(4(4(1(3(1(1(2(3(4(3(5(5(3(4(2(5(4(1(1(3(5(4(2(0(2(4(1(1(2(5(5(5(2(5(0(5(5(2(3(2(5(0(0(1(2(5(1(5(5(5(1(5(2(4(5(4(3(0(5(4(2(5(5(2(0(2(5(2(3(4(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   4(3(2(0(4(4(3(2(2(4(1(2(2(5(3(3(2(4(4(5(5(0(1(1(0(3(3(2(0(2(1(2(0(0(3(1(4(0(1(4(4(1(2(1(0(2(2(3(3(2(5(5(4(2(3(4(1(2(0(4(5(2(4(0(2(0(4(2(5(2(1(4(5(1(4(1(3(0(1(2(2(1(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(3(4(3(2(0(4(2(4(0(2(1(5(4(0(3(0(2(1(2(1(1(1(0(1(3(4(0(4(1(5(3(3(4(0(5(1(2(5(0(1(3(3(4(5(5(0(4(3(1(5(3(5(4(2(2(1(5(5(2(4(3(0(3(5(4(4(4(2(4(2(4(3(3(4(3(5(4(2(5(3(5(1(2(4(5(5(5(2(4(2(1(3(1(1(3(3(1(5(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   5(2(3(0(2(3(5(5(3(3(0(4(0(0(5(0(3(0(3(2(3(1(0(0(3(5(4(1(2(1(3(3(3(4(0(5(5(2(0(1(4(1(1(2(2(4(0(1(3(0(5(3(3(3(4(2(4(2(1(0(2(4(1(0(0(3(0(1(4(2(1(0(3(5(1(4(0(4(4(2(0(2(3(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(1(1(5(1(5(2(5(0(5(3(3(0(1(1(2(1(5(1(0(1(1(4(3(0(5(2(5(5(3(2(2(5(4(5(5(2(4(1(3(1(2(1(2(3(1(3(2(2(2(0(5(1(1(4(0(5(3(3(4(5(4(5(4(0(3(5(5(3(3(4(5(1(0(4(4(2(4(0(5(2(2(3(0(5(0(5(5(5(3(2(2(0(3(0(5(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   encode_5(x_1) -> 5(encArg(x_1))

S is empty.
Rewrite Strategy: FULL
----------------------------------------

(7) CpxTrsMatchBoundsProof (FINISHED)
A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. 
The certificate found is represented by the following graph.

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{(150,151,[0_1|0, 1_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (150,152,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (150,153,[5_1|2]), (150,252,[4_1|2]), (150,351,[5_1|2]), (150,450,[3_1|2]), (150,549,[4_1|2]), (150,648,[2_1|2]), (150,747,[5_1|2]), (150,846,[3_1|2]), (150,945,[2_1|2]), (150,1044,[1_1|2]), (150,1143,[2_1|2]), (150,1242,[2_1|2]), (150,1341,[3_1|2]), (150,1440,[5_1|2]), (150,1539,[4_1|2]), (150,1638,[0_1|2]), (150,1737,[3_1|2]), (150,1836,[5_1|2]), (150,1935,[5_1|2]), (150,2034,[5_1|2]), (151,151,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (152,153,[5_1|2]), (152,252,[4_1|2]), (152,351,[5_1|2]), (152,450,[3_1|2]), (152,549,[4_1|2]), (152,648,[2_1|2]), (152,747,[5_1|2]), (152,846,[3_1|2]), (152,945,[2_1|2]), (152,1044,[1_1|2]), (152,1143,[2_1|2]), (152,1242,[2_1|2]), (152,1341,[3_1|2]), (152,1440,[5_1|2]), (152,1539,[4_1|2]), (152,1638,[0_1|2]), (152,1737,[3_1|2]), (152,1836,[5_1|2]), (152,1935,[5_1|2]), (152,2034,[5_1|2]), (153,154,[5_1|2]), (154,155,[0_1|2]), (155,156,[4_1|2]), (156,157,[0_1|2]), (157,158,[5_1|2]), (158,159,[5_1|2]), (159,160,[0_1|2]), (160,161,[4_1|2]), (161,162,[2_1|2]), (162,163,[1_1|2]), (163,164,[5_1|2]), (164,165,[2_1|2]), (165,166,[4_1|2]), (166,167,[3_1|2]), (167,168,[1_1|2]), (168,169,[2_1|2]), (169,170,[0_1|2]), (170,171,[3_1|2]), (171,172,[5_1|2]), (172,173,[1_1|2]), (173,174,[5_1|2]), (174,175,[1_1|2]), (175,176,[3_1|2]), (176,177,[1_1|2]), (177,178,[1_1|2]), (178,179,[1_1|2]), (179,180,[3_1|2]), (180,181,[0_1|2]), (181,182,[3_1|2]), (182,183,[1_1|2]), (183,184,[5_1|2]), (184,185,[2_1|2]), (185,186,[2_1|2]), (186,187,[5_1|2]), (187,188,[5_1|2]), (188,189,[5_1|2]), (189,190,[5_1|2]), (190,191,[5_1|2]), (191,192,[2_1|2]), (192,193,[5_1|2]), (193,194,[0_1|2]), (194,195,[1_1|2]), (195,196,[2_1|2]), (196,197,[2_1|2]), 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(1785,1786,[2_1|2]), (1786,1787,[5_1|2]), (1787,1788,[2_1|2]), (1788,1789,[2_1|2]), (1789,1790,[2_1|2]), (1790,1791,[2_1|2]), (1791,1792,[5_1|2]), (1792,1793,[1_1|2]), (1793,1794,[3_1|2]), (1794,1795,[4_1|2]), (1795,1796,[5_1|2]), (1796,1797,[5_1|2]), (1797,1798,[0_1|2]), (1798,1799,[0_1|2]), (1799,1800,[1_1|2]), (1800,1801,[2_1|2]), (1801,1802,[1_1|2]), (1802,1803,[4_1|2]), (1803,1804,[5_1|2]), (1804,1805,[1_1|2]), (1805,1806,[0_1|2]), (1806,1807,[5_1|2]), (1807,1808,[5_1|2]), (1808,1809,[4_1|2]), (1809,1810,[3_1|2]), (1810,1811,[2_1|2]), (1811,1812,[0_1|2]), (1812,1813,[3_1|2]), (1813,1814,[4_1|2]), (1814,1815,[4_1|2]), (1815,1816,[4_1|2]), (1816,1817,[2_1|2]), (1817,1818,[5_1|2]), (1818,1819,[0_1|2]), (1819,1820,[0_1|2]), (1820,1821,[0_1|2]), (1821,1822,[0_1|2]), (1822,1823,[1_1|2]), (1823,1824,[1_1|2]), (1824,1825,[3_1|2]), (1825,1826,[3_1|2]), (1826,1827,[1_1|2]), (1827,1828,[4_1|2]), (1828,1829,[4_1|2]), (1829,1830,[1_1|2]), (1830,1831,[2_1|2]), (1831,1832,[2_1|2]), (1832,1833,[5_1|2]), (1833,1834,[4_1|2]), (1834,1835,[2_1|2]), (1835,152,[4_1|2]), (1835,450,[4_1|2]), (1835,846,[4_1|2]), (1835,1341,[4_1|2]), (1835,1737,[4_1|2]), (1835,1936,[4_1|2]), (1835,1935,[5_1|2]), (1836,1837,[1_1|2]), (1837,1838,[3_1|2]), (1838,1839,[5_1|2]), (1839,1840,[0_1|2]), (1840,1841,[0_1|2]), (1841,1842,[2_1|2]), (1842,1843,[2_1|2]), (1843,1844,[4_1|2]), (1844,1845,[3_1|2]), (1845,1846,[5_1|2]), (1846,1847,[0_1|2]), (1847,1848,[2_1|2]), (1848,1849,[4_1|2]), (1849,1850,[5_1|2]), (1850,1851,[1_1|2]), (1851,1852,[2_1|2]), (1852,1853,[3_1|2]), (1853,1854,[5_1|2]), (1854,1855,[3_1|2]), (1855,1856,[1_1|2]), (1856,1857,[4_1|2]), (1857,1858,[4_1|2]), (1858,1859,[0_1|2]), (1859,1860,[2_1|2]), (1860,1861,[2_1|2]), (1861,1862,[2_1|2]), (1862,1863,[3_1|2]), (1863,1864,[4_1|2]), (1864,1865,[4_1|2]), (1865,1866,[4_1|2]), (1866,1867,[1_1|2]), (1867,1868,[3_1|2]), (1868,1869,[1_1|2]), (1869,1870,[1_1|2]), (1870,1871,[2_1|2]), (1871,1872,[3_1|2]), (1872,1873,[4_1|2]), (1873,1874,[3_1|2]), (1874,1875,[5_1|2]), (1875,1876,[5_1|2]), (1876,1877,[3_1|2]), (1877,1878,[4_1|2]), (1878,1879,[2_1|2]), (1879,1880,[5_1|2]), (1880,1881,[4_1|2]), (1881,1882,[1_1|2]), (1882,1883,[1_1|2]), (1883,1884,[3_1|2]), (1884,1885,[5_1|2]), (1885,1886,[4_1|2]), (1886,1887,[2_1|2]), (1887,1888,[0_1|2]), (1888,1889,[2_1|2]), (1889,1890,[4_1|2]), (1890,1891,[1_1|2]), (1891,1892,[1_1|2]), (1892,1893,[2_1|2]), (1893,1894,[5_1|2]), (1894,1895,[5_1|2]), (1895,1896,[5_1|2]), (1896,1897,[2_1|2]), (1897,1898,[5_1|2]), (1898,1899,[0_1|2]), (1899,1900,[5_1|2]), (1900,1901,[5_1|2]), (1901,1902,[2_1|2]), (1902,1903,[3_1|2]), (1903,1904,[2_1|2]), (1904,1905,[5_1|2]), (1905,1906,[0_1|2]), (1906,1907,[0_1|2]), (1907,1908,[1_1|2]), (1908,1909,[2_1|2]), (1909,1910,[5_1|2]), (1910,1911,[1_1|2]), (1911,1912,[5_1|2]), (1912,1913,[5_1|2]), (1913,1914,[5_1|2]), (1914,1915,[1_1|2]), (1915,1916,[5_1|2]), (1916,1917,[2_1|2]), (1917,1918,[4_1|2]), (1918,1919,[5_1|2]), (1919,1920,[4_1|2]), (1920,1921,[3_1|2]), (1921,1922,[0_1|2]), (1922,1923,[5_1|2]), (1923,1924,[4_1|2]), (1924,1925,[2_1|2]), (1925,1926,[5_1|2]), (1926,1927,[5_1|2]), (1927,1928,[2_1|2]), (1928,1929,[0_1|2]), (1929,1930,[2_1|2]), (1930,1931,[5_1|2]), (1931,1932,[2_1|2]), (1932,1933,[3_1|2]), (1933,1934,[4_1|2]), (1934,152,[2_1|2]), (1934,1638,[2_1|2]), (1934,649,[2_1|2]), (1934,1242,[2_1|2]), (1934,1341,[3_1|2]), (1934,1440,[5_1|2]), (1934,1539,[4_1|2]), (1935,1936,[3_1|2]), (1936,1937,[4_1|2]), (1937,1938,[3_1|2]), (1938,1939,[2_1|2]), (1939,1940,[0_1|2]), (1940,1941,[4_1|2]), (1941,1942,[2_1|2]), (1942,1943,[4_1|2]), (1943,1944,[0_1|2]), (1944,1945,[2_1|2]), (1945,1946,[1_1|2]), (1946,1947,[5_1|2]), (1947,1948,[4_1|2]), (1948,1949,[0_1|2]), (1949,1950,[3_1|2]), (1950,1951,[0_1|2]), (1951,1952,[2_1|2]), (1952,1953,[1_1|2]), (1953,1954,[2_1|2]), (1954,1955,[1_1|2]), (1955,1956,[1_1|2]), (1956,1957,[1_1|2]), (1957,1958,[0_1|2]), (1958,1959,[1_1|2]), (1959,1960,[3_1|2]), (1960,1961,[4_1|2]), (1961,1962,[0_1|2]), (1962,1963,[4_1|2]), (1963,1964,[1_1|2]), (1964,1965,[5_1|2]), (1965,1966,[3_1|2]), (1966,1967,[3_1|2]), (1967,1968,[4_1|2]), (1968,1969,[0_1|2]), (1969,1970,[5_1|2]), (1970,1971,[1_1|2]), (1971,1972,[2_1|2]), (1972,1973,[5_1|2]), (1973,1974,[0_1|2]), (1974,1975,[1_1|2]), (1975,1976,[3_1|2]), (1976,1977,[3_1|2]), (1977,1978,[4_1|2]), (1978,1979,[5_1|2]), (1979,1980,[5_1|2]), (1980,1981,[0_1|2]), (1981,1982,[4_1|2]), (1982,1983,[3_1|2]), (1983,1984,[1_1|2]), (1984,1985,[5_1|2]), (1985,1986,[3_1|2]), (1986,1987,[5_1|2]), (1987,1988,[4_1|2]), (1988,1989,[2_1|2]), (1989,1990,[2_1|2]), (1990,1991,[1_1|2]), (1991,1992,[5_1|2]), (1992,1993,[5_1|2]), (1993,1994,[2_1|2]), (1994,1995,[4_1|2]), (1995,1996,[3_1|2]), (1996,1997,[0_1|2]), (1997,1998,[3_1|2]), (1998,1999,[5_1|2]), (1999,2000,[4_1|2]), (2000,2001,[4_1|2]), (2001,2002,[4_1|2]), (2002,2003,[2_1|2]), (2003,2004,[4_1|2]), (2004,2005,[2_1|2]), (2005,2006,[4_1|2]), (2006,2007,[3_1|2]), (2007,2008,[3_1|2]), (2008,2009,[4_1|2]), (2009,2010,[3_1|2]), (2010,2011,[5_1|2]), (2011,2012,[4_1|2]), (2012,2013,[2_1|2]), (2013,2014,[5_1|2]), (2014,2015,[3_1|2]), (2015,2016,[5_1|2]), (2016,2017,[1_1|2]), (2017,2018,[2_1|2]), (2018,2019,[4_1|2]), (2019,2020,[5_1|2]), (2020,2021,[5_1|2]), (2021,2022,[5_1|2]), (2022,2023,[2_1|2]), (2023,2024,[4_1|2]), (2024,2025,[2_1|2]), (2025,2026,[1_1|2]), (2026,2027,[3_1|2]), (2027,2028,[1_1|2]), (2028,2029,[1_1|2]), (2029,2030,[3_1|2]), (2030,2031,[3_1|2]), (2031,2032,[1_1|2]), (2032,2033,[5_1|2]), (2033,152,[0_1|2]), (2033,450,[0_1|2, 3_1|2]), (2033,846,[0_1|2, 3_1|2]), (2033,1341,[0_1|2]), (2033,1737,[0_1|2]), (2033,550,[0_1|2]), (2033,1540,[0_1|2]), (2033,153,[5_1|2]), (2033,252,[4_1|2]), (2033,351,[5_1|2]), (2033,549,[4_1|2]), (2033,648,[2_1|2]), (2033,747,[5_1|2]), (2034,2035,[1_1|2]), (2035,2036,[1_1|2]), (2036,2037,[5_1|2]), (2037,2038,[1_1|2]), (2038,2039,[5_1|2]), (2039,2040,[2_1|2]), (2040,2041,[5_1|2]), (2041,2042,[0_1|2]), (2042,2043,[5_1|2]), (2043,2044,[3_1|2]), (2044,2045,[3_1|2]), (2045,2046,[0_1|2]), (2046,2047,[1_1|2]), (2047,2048,[1_1|2]), (2048,2049,[2_1|2]), (2049,2050,[1_1|2]), (2050,2051,[5_1|2]), (2051,2052,[1_1|2]), (2052,2053,[0_1|2]), (2053,2054,[1_1|2]), (2054,2055,[1_1|2]), (2055,2056,[4_1|2]), (2056,2057,[3_1|2]), (2057,2058,[0_1|2]), (2058,2059,[5_1|2]), (2059,2060,[2_1|2]), (2060,2061,[5_1|2]), (2061,2062,[5_1|2]), (2062,2063,[3_1|2]), (2063,2064,[2_1|2]), (2064,2065,[2_1|2]), (2065,2066,[5_1|2]), (2066,2067,[4_1|2]), (2067,2068,[5_1|2]), (2068,2069,[5_1|2]), (2069,2070,[2_1|2]), (2070,2071,[4_1|2]), (2071,2072,[1_1|2]), (2072,2073,[3_1|2]), (2073,2074,[1_1|2]), (2074,2075,[2_1|2]), (2075,2076,[1_1|2]), (2076,2077,[2_1|2]), (2077,2078,[3_1|2]), (2078,2079,[1_1|2]), (2079,2080,[3_1|2]), (2080,2081,[2_1|2]), (2081,2082,[2_1|2]), (2082,2083,[2_1|2]), (2083,2084,[0_1|2]), (2084,2085,[5_1|2]), (2085,2086,[1_1|2]), (2086,2087,[1_1|2]), (2087,2088,[4_1|2]), (2088,2089,[0_1|2]), (2089,2090,[5_1|2]), (2090,2091,[3_1|2]), (2091,2092,[3_1|2]), (2092,2093,[4_1|2]), (2093,2094,[5_1|2]), (2094,2095,[4_1|2]), (2095,2096,[5_1|2]), (2096,2097,[4_1|2]), (2097,2098,[0_1|2]), (2098,2099,[3_1|2]), (2099,2100,[5_1|2]), (2100,2101,[5_1|2]), (2101,2102,[3_1|2]), (2102,2103,[3_1|2]), (2103,2104,[4_1|2]), (2104,2105,[5_1|2]), (2105,2106,[1_1|2]), (2106,2107,[0_1|2]), (2107,2108,[4_1|2]), (2108,2109,[4_1|2]), (2109,2110,[2_1|2]), (2110,2111,[4_1|2]), (2111,2112,[0_1|2]), (2112,2113,[5_1|2]), (2113,2114,[2_1|2]), (2114,2115,[2_1|2]), (2115,2116,[3_1|2]), (2116,2117,[0_1|2]), (2117,2118,[5_1|2]), (2118,2119,[0_1|2]), (2119,2120,[5_1|2]), (2120,2121,[5_1|2]), (2121,2122,[5_1|2]), (2122,2123,[3_1|2]), (2123,2124,[2_1|2]), (2124,2125,[2_1|2]), (2125,2126,[0_1|2]), (2126,2127,[3_1|2]), (2127,2128,[0_1|2]), (2128,2129,[5_1|2]), (2129,2130,[0_1|2]), (2130,2131,[1_1|2]), (2131,2132,[0_1|2]), (2131,549,[4_1|2]), (2132,152,[1_1|2]), (2132,648,[1_1|2]), (2132,945,[1_1|2, 2_1|2]), (2132,1143,[1_1|2, 2_1|2]), (2132,1242,[1_1|2]), (2132,1044,[1_1|2])}"
----------------------------------------

(8)
BOUNDS(1, n^1)