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


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


WORST_CASE(?, O(n^1))
proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, n^1).

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 57 ms]
(4) CpxRelTRS
(5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(6) CpxTRS
(7) CpxTrsMatchBoundsProof [FINISHED, 678 ms]
(8) BOUNDS(1, n^1)


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

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


The TRS R consists of the following rules:

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

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

(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(1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1).


The TRS R consists of the following rules:

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

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

   encArg(1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(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: INNERMOST
----------------------------------------

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

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


The TRS R consists of the following rules:

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

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

   encArg(1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(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: INNERMOST
----------------------------------------

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

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


The TRS R consists of the following rules:

   0(1(2(x1))) -> 0(0(2(1(x1))))
   3(0(1(x1))) -> 0(0(3(1(x1))))
   0(1(4(3(x1)))) -> 0(0(4(1(3(x1)))))
   0(1(4(4(x1)))) -> 0(0(4(4(1(x1)))))
   0(4(2(1(x1)))) -> 0(2(0(4(1(x1)))))
   2(1(0(1(x1)))) -> 0(0(2(1(1(x1)))))
   2(2(0(1(x1)))) -> 2(1(0(0(2(x1)))))
   3(0(4(3(x1)))) -> 3(0(0(0(3(4(x1))))))
   4(0(1(3(x1)))) -> 1(0(0(3(4(x1)))))
   0(4(0(1(2(x1))))) -> 0(2(4(1(0(0(0(0(x1))))))))
   0(5(4(0(5(x1))))) -> 0(4(5(0(0(0(0(0(5(x1)))))))))
   2(0(1(5(1(x1))))) -> 0(0(2(5(1(1(x1))))))
   2(0(5(3(5(x1))))) -> 0(3(5(0(2(5(x1))))))
   2(2(0(5(2(x1))))) -> 0(2(5(0(2(0(2(x1)))))))
   2(2(3(0(1(x1))))) -> 0(0(2(2(1(3(x1))))))
   2(5(0(1(4(x1))))) -> 2(0(0(5(4(1(x1))))))
   2(5(4(0(1(x1))))) -> 0(2(0(4(5(1(x1))))))
   5(0(4(2(3(x1))))) -> 5(0(0(2(4(3(x1))))))
   5(1(0(1(2(x1))))) -> 0(2(0(5(1(1(x1))))))
   0(4(1(2(0(1(x1)))))) -> 0(0(1(4(0(2(1(x1)))))))
   0(4(2(2(0(1(x1)))))) -> 0(2(2(1(0(0(4(x1)))))))
   0(4(3(3(5(1(x1)))))) -> 0(0(4(3(1(5(3(x1)))))))
   2(4(5(3(0(1(x1)))))) -> 0(3(0(2(4(5(1(x1)))))))
   2(5(3(0(4(2(x1)))))) -> 0(0(2(4(5(3(2(x1)))))))
   3(0(1(4(2(2(x1)))))) -> 3(4(1(0(2(0(2(x1)))))))
   3(2(1(4(0(3(x1)))))) -> 0(0(2(3(3(4(1(x1)))))))
   3(5(3(0(1(3(x1)))))) -> 3(5(3(1(0(0(3(x1)))))))
   4(3(2(2(4(4(x1)))))) -> 4(3(4(0(2(2(4(x1)))))))
   4(3(4(5(1(3(x1)))))) -> 4(3(1(4(5(0(3(x1)))))))
   5(0(1(2(5(2(x1)))))) -> 5(2(0(1(5(0(0(2(x1))))))))
   5(0(4(2(3(1(x1)))))) -> 5(3(4(1(0(0(2(x1)))))))
   5(1(1(3(0(4(x1)))))) -> 0(0(1(5(3(1(4(x1)))))))
   5(1(4(2(0(5(x1)))))) -> 0(2(4(1(5(0(5(x1)))))))
   5(4(0(1(2(2(x1)))))) -> 1(5(0(2(4(0(2(x1)))))))
   0(0(5(3(2(1(2(x1))))))) -> 0(0(5(3(1(0(2(2(x1))))))))
   0(1(0(1(4(5(1(x1))))))) -> 0(0(0(1(1(4(5(3(1(x1)))))))))
   0(1(2(5(3(0(1(x1))))))) -> 0(0(0(1(5(1(2(3(x1))))))))
   0(1(3(0(1(2(1(x1))))))) -> 0(0(1(2(1(5(3(1(x1))))))))
   0(1(3(0(5(4(1(x1))))))) -> 0(5(1(3(4(0(0(0(1(x1)))))))))
   0(1(5(3(0(3(2(x1))))))) -> 0(0(2(3(3(1(4(5(x1))))))))
   0(4(0(3(5(2(5(x1))))))) -> 0(2(0(0(0(3(4(5(5(x1)))))))))
   0(4(2(0(4(3(2(x1))))))) -> 2(4(0(0(2(0(3(4(x1))))))))
   0(4(2(1(0(5(2(x1))))))) -> 4(1(0(0(0(2(5(2(x1))))))))
   0(4(2(2(5(5(2(x1))))))) -> 2(5(5(4(0(2(0(2(x1))))))))
   2(0(1(2(4(4(2(x1))))))) -> 2(0(0(0(1(4(4(2(2(x1)))))))))
   2(1(2(0(3(0(5(x1))))))) -> 0(0(3(2(5(0(2(1(x1))))))))
   2(3(0(4(3(0(5(x1))))))) -> 0(3(3(5(2(0(0(4(x1))))))))
   2(4(5(3(3(5(5(x1))))))) -> 0(2(5(5(5(3(3(4(x1))))))))
   2(5(5(2(4(0(5(x1))))))) -> 2(0(0(4(5(2(5(5(x1))))))))
   3(0(0(3(1(5(1(x1))))))) -> 3(1(5(0(0(0(3(1(x1))))))))
   3(0(0(3(2(2(2(x1))))))) -> 3(3(2(0(2(0(0(2(x1))))))))
   3(0(4(2(0(4(2(x1))))))) -> 3(0(2(0(4(4(2(0(x1))))))))
   3(0(5(5(5(3(2(x1))))))) -> 3(2(5(5(0(0(3(5(x1))))))))
   4(3(3(3(2(1(2(x1))))))) -> 1(0(3(3(3(4(2(2(x1))))))))
   4(4(3(0(1(1(1(x1))))))) -> 4(0(0(4(3(1(1(1(x1))))))))
   5(1(0(3(0(5(2(x1))))))) -> 0(2(0(5(3(3(1(5(x1))))))))
   5(1(2(0(0(5(1(x1))))))) -> 5(1(0(0(0(2(5(1(x1))))))))
   5(4(0(1(1(0(5(x1))))))) -> 1(5(0(0(0(5(4(1(x1))))))))
   5(4(3(2(1(2(3(x1))))))) -> 5(2(0(2(3(3(1(4(x1))))))))
   0(1(3(3(5(2(1(4(x1)))))))) -> 0(5(1(3(3(4(1(0(2(x1)))))))))
   0(4(2(2(0(1(0(4(x1)))))))) -> 0(2(0(0(4(1(0(2(4(x1)))))))))
   0(4(2(2(5(0(5(2(x1)))))))) -> 0(2(2(0(0(2(4(5(5(x1)))))))))
   2(1(5(0(1(3(2(4(x1)))))))) -> 2(5(0(2(1(3(3(1(4(x1)))))))))
   2(4(3(4(1(2(3(2(x1)))))))) -> 2(1(3(4(3(4(2(0(2(x1)))))))))
   2(4(5(3(0(1(1(1(x1)))))))) -> 0(0(2(1(1(5(3(4(1(x1)))))))))
   2(5(1(2(4(0(5(2(x1)))))))) -> 0(4(1(5(2(5(2(0(0(2(x1))))))))))
   4(0(1(2(4(5(3(2(x1)))))))) -> 4(0(2(4(3(1(4(5(2(x1)))))))))
   5(0(5(2(3(4(0(1(x1)))))))) -> 5(5(4(0(3(0(0(2(1(x1)))))))))
   5(1(5(1(2(0(3(5(x1)))))))) -> 0(0(2(5(3(5(1(1(5(x1)))))))))
   5(4(0(3(1(1(2(4(x1)))))))) -> 2(3(1(5(0(0(0(4(1(4(x1))))))))))
   5(5(3(2(1(1(0(4(x1)))))))) -> 4(1(5(0(2(5(3(3(1(x1)))))))))
   0(3(3(0(4(0(2(2(5(x1))))))))) -> 3(5(0(2(4(3(0(0(0(0(2(x1)))))))))))
   0(4(0(0(1(0(1(4(2(x1))))))))) -> 0(4(1(0(0(2(0(2(4(1(x1))))))))))
   0(5(0(1(3(0(3(4(5(x1))))))))) -> 5(0(3(3(4(0(0(0(1(5(x1))))))))))
   2(1(2(4(0(5(1(3(5(x1))))))))) -> 0(0(4(2(2(1(1(5(3(5(x1))))))))))
   2(3(0(5(2(5(0(4(2(x1))))))))) -> 2(0(5(3(4(2(0(2(5(2(x1))))))))))
   2(3(4(2(0(1(2(1(2(x1))))))))) -> 2(0(2(1(2(1(3(4(0(2(x1))))))))))
   2(4(1(3(0(3(0(4(1(x1))))))))) -> 0(0(0(3(4(3(2(4(1(1(x1))))))))))
   3(0(1(0(3(3(0(5(1(x1))))))))) -> 3(0(1(0(0(0(5(3(3(1(x1))))))))))
   4(1(1(3(0(5(2(5(4(x1))))))))) -> 1(3(5(0(0(2(4(5(1(4(x1))))))))))
   5(2(0(4(0(4(2(3(1(x1))))))))) -> 5(0(0(3(1(4(4(2(0(2(x1))))))))))
   5(3(0(3(0(1(3(4(3(x1))))))))) -> 5(3(4(3(1(0(0(0(3(4(3(x1)))))))))))
   0(1(0(1(3(2(5(0(1(4(x1)))))))))) -> 0(2(3(0(0(3(1(5(4(1(1(x1)))))))))))
   2(1(1(0(2(3(1(0(5(5(x1)))))))))) -> 0(2(2(3(1(5(1(1(5(0(0(x1)))))))))))
   2(5(0(4(0(5(1(0(3(3(x1)))))))))) -> 2(5(4(5(1(3(0(0(0(0(3(x1)))))))))))
   2(5(1(1(2(5(0(4(3(2(x1)))))))))) -> 2(5(1(5(2(4(3(0(0(2(1(x1)))))))))))
   3(2(0(1(2(0(4(4(2(5(x1)))))))))) -> 3(0(0(2(5(1(2(3(4(4(2(x1)))))))))))
   4(1(4(2(5(0(1(1(0(1(x1)))))))))) -> 4(5(4(1(0(0(1(0(2(1(1(x1)))))))))))
   4(2(1(4(0(1(1(3(0(3(x1)))))))))) -> 1(4(0(0(2(1(3(4(1(3(4(x1)))))))))))
   5(4(3(3(5(5(5(1(0(2(x1)))))))))) -> 5(3(3(4(0(2(5(0(5(5(1(x1)))))))))))
   encArg(1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(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: INNERMOST
----------------------------------------

(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 3. 
The certificate found is represented by the following graph.

"[69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768]
{(69,70,[0_1|0, 3_1|0, 2_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]), (69,71,[1_1|1, 0_1|1, 3_1|1, 2_1|1, 4_1|1, 5_1|1]), (69,72,[0_1|2]), (69,75,[0_1|2]), (69,82,[0_1|2]), (69,86,[0_1|2]), (69,90,[0_1|2]), (69,98,[0_1|2]), (69,108,[0_1|2]), (69,115,[0_1|2]), (69,123,[0_1|2]), (69,131,[0_1|2]), (69,138,[0_1|2]), (69,142,[4_1|2]), (69,149,[0_1|2]), (69,155,[0_1|2]), (69,163,[2_1|2]), (69,170,[0_1|2]), (69,178,[2_1|2]), (69,185,[0_1|2]), (69,192,[0_1|2]), (69,200,[0_1|2]), (69,209,[0_1|2]), (69,215,[0_1|2]), (69,221,[0_1|2]), (69,229,[5_1|2]), (69,238,[0_1|2]), (69,245,[3_1|2]), (69,255,[0_1|2]), (69,258,[3_1|2]), (69,264,[3_1|2]), (69,273,[3_1|2]), (69,278,[3_1|2]), (69,285,[3_1|2]), (69,292,[3_1|2]), (69,299,[3_1|2]), (69,306,[0_1|2]), (69,312,[3_1|2]), (69,322,[3_1|2]), (69,328,[0_1|2]), (69,332,[0_1|2]), (69,339,[0_1|2]), (69,348,[2_1|2]), (69,356,[0_1|2]), (69,366,[2_1|2]), (69,370,[0_1|2]), (69,376,[0_1|2]), (69,381,[0_1|2]), (69,386,[2_1|2]), (69,394,[0_1|2]), (69,399,[2_1|2]), (69,404,[2_1|2]), (69,414,[0_1|2]), (69,419,[0_1|2]), (69,425,[2_1|2]), (69,432,[0_1|2]), (69,441,[2_1|2]), (69,451,[0_1|2]), (69,457,[0_1|2]), (69,465,[0_1|2]), (69,472,[2_1|2]), (69,480,[0_1|2]), (69,489,[0_1|2]), (69,496,[2_1|2]), (69,505,[2_1|2]), (69,514,[1_1|2]), (69,518,[4_1|2]), (69,526,[4_1|2]), (69,532,[4_1|2]), (69,538,[1_1|2]), (69,545,[4_1|2]), (69,552,[1_1|2]), (69,561,[4_1|2]), (69,571,[1_1|2]), (69,581,[5_1|2]), (69,586,[5_1|2]), (69,592,[5_1|2]), (69,599,[5_1|2]), (69,607,[0_1|2]), (69,612,[0_1|2]), (69,619,[0_1|2]), (69,625,[0_1|2]), (69,631,[5_1|2]), (69,638,[0_1|2]), (69,646,[1_1|2]), (69,652,[1_1|2]), (69,659,[2_1|2]), (69,668,[5_1|2]), (69,675,[5_1|2]), (69,685,[4_1|2]), (69,693,[5_1|2]), (69,702,[5_1|2]), (69,712,[0_1|3]), (70,70,[1_1|0, cons_0_1|0, cons_3_1|0, cons_2_1|0, cons_4_1|0, cons_5_1|0]), (71,70,[encArg_1|1]), (71,71,[1_1|1, 0_1|1, 3_1|1, 2_1|1, 4_1|1, 5_1|1]), (71,72,[0_1|2]), (71,75,[0_1|2]), (71,82,[0_1|2]), (71,86,[0_1|2]), (71,90,[0_1|2]), (71,98,[0_1|2]), (71,108,[0_1|2]), (71,115,[0_1|2]), (71,123,[0_1|2]), (71,131,[0_1|2]), (71,138,[0_1|2]), (71,142,[4_1|2]), (71,149,[0_1|2]), (71,155,[0_1|2]), (71,163,[2_1|2]), (71,170,[0_1|2]), (71,178,[2_1|2]), (71,185,[0_1|2]), (71,192,[0_1|2]), (71,200,[0_1|2]), (71,209,[0_1|2]), (71,215,[0_1|2]), (71,221,[0_1|2]), (71,229,[5_1|2]), (71,238,[0_1|2]), (71,245,[3_1|2]), (71,255,[0_1|2]), (71,258,[3_1|2]), (71,264,[3_1|2]), (71,273,[3_1|2]), (71,278,[3_1|2]), (71,285,[3_1|2]), (71,292,[3_1|2]), (71,299,[3_1|2]), (71,306,[0_1|2]), (71,312,[3_1|2]), (71,322,[3_1|2]), (71,328,[0_1|2]), (71,332,[0_1|2]), (71,339,[0_1|2]), (71,348,[2_1|2]), (71,356,[0_1|2]), (71,366,[2_1|2]), (71,370,[0_1|2]), (71,376,[0_1|2]), (71,381,[0_1|2]), (71,386,[2_1|2]), (71,394,[0_1|2]), (71,399,[2_1|2]), (71,404,[2_1|2]), (71,414,[0_1|2]), (71,419,[0_1|2]), (71,425,[2_1|2]), (71,432,[0_1|2]), (71,441,[2_1|2]), (71,451,[0_1|2]), (71,457,[0_1|2]), (71,465,[0_1|2]), (71,472,[2_1|2]), (71,480,[0_1|2]), (71,489,[0_1|2]), (71,496,[2_1|2]), (71,505,[2_1|2]), (71,514,[1_1|2]), (71,518,[4_1|2]), (71,526,[4_1|2]), (71,532,[4_1|2]), (71,538,[1_1|2]), (71,545,[4_1|2]), (71,552,[1_1|2]), (71,561,[4_1|2]), (71,571,[1_1|2]), (71,581,[5_1|2]), (71,586,[5_1|2]), (71,592,[5_1|2]), (71,599,[5_1|2]), (71,607,[0_1|2]), (71,612,[0_1|2]), (71,619,[0_1|2]), (71,625,[0_1|2]), (71,631,[5_1|2]), (71,638,[0_1|2]), (71,646,[1_1|2]), (71,652,[1_1|2]), (71,659,[2_1|2]), (71,668,[5_1|2]), (71,675,[5_1|2]), (71,685,[4_1|2]), (71,693,[5_1|2]), (71,702,[5_1|2]), (71,712,[0_1|3]), (72,73,[0_1|2]), (73,74,[2_1|2]), (73,328,[0_1|2]), (73,332,[0_1|2]), (73,339,[0_1|2]), (73,348,[2_1|2]), (73,356,[0_1|2]), (74,71,[1_1|2]), (74,163,[1_1|2]), (74,178,[1_1|2]), (74,348,[1_1|2]), (74,366,[1_1|2]), (74,386,[1_1|2]), (74,399,[1_1|2]), (74,404,[1_1|2]), (74,425,[1_1|2]), (74,441,[1_1|2]), (74,472,[1_1|2]), (74,496,[1_1|2]), (74,505,[1_1|2]), (74,659,[1_1|2]), (75,76,[0_1|2]), (76,77,[0_1|2]), (77,78,[1_1|2]), (78,79,[5_1|2]), (79,80,[1_1|2]), (80,81,[2_1|2]), (80,489,[0_1|2]), (80,496,[2_1|2]), (80,505,[2_1|2]), (81,71,[3_1|2]), (81,514,[3_1|2]), (81,538,[3_1|2]), (81,552,[3_1|2]), (81,571,[3_1|2]), (81,646,[3_1|2]), (81,652,[3_1|2]), (81,266,[3_1|2]), (81,255,[0_1|2]), (81,258,[3_1|2]), (81,264,[3_1|2]), (81,273,[3_1|2]), (81,278,[3_1|2]), (81,285,[3_1|2]), (81,292,[3_1|2]), (81,299,[3_1|2]), (81,306,[0_1|2]), (81,312,[3_1|2]), (81,322,[3_1|2]), (81,715,[3_1|3]), (81,712,[0_1|3]), (82,83,[0_1|2]), (83,84,[4_1|2]), (84,85,[1_1|2]), (85,71,[3_1|2]), (85,245,[3_1|2]), (85,258,[3_1|2]), (85,264,[3_1|2]), (85,273,[3_1|2]), (85,278,[3_1|2]), (85,285,[3_1|2]), (85,292,[3_1|2]), (85,299,[3_1|2]), (85,312,[3_1|2]), (85,322,[3_1|2]), (85,527,[3_1|2]), (85,533,[3_1|2]), (85,255,[0_1|2]), (85,306,[0_1|2]), (85,715,[3_1|3]), (85,712,[0_1|3]), (86,87,[0_1|2]), (87,88,[4_1|2]), (88,89,[4_1|2]), (88,552,[1_1|2]), (88,561,[4_1|2]), (89,71,[1_1|2]), (89,142,[1_1|2]), (89,518,[1_1|2]), (89,526,[1_1|2]), (89,532,[1_1|2]), (89,545,[1_1|2]), (89,561,[1_1|2]), (89,685,[1_1|2]), (90,91,[0_1|2]), (91,92,[0_1|2]), (92,93,[1_1|2]), (93,94,[1_1|2]), (94,95,[4_1|2]), (95,96,[5_1|2]), (96,97,[3_1|2]), (97,71,[1_1|2]), (97,514,[1_1|2]), (97,538,[1_1|2]), (97,552,[1_1|2]), (97,571,[1_1|2]), (97,646,[1_1|2]), (97,652,[1_1|2]), (97,632,[1_1|2]), (98,99,[2_1|2]), (99,100,[3_1|2]), (99,751,[3_1|3]), (100,101,[0_1|2]), (101,102,[0_1|2]), (102,103,[3_1|2]), (103,104,[1_1|2]), (104,105,[5_1|2]), (105,106,[4_1|2]), (105,552,[1_1|2]), (106,107,[1_1|2]), (107,71,[1_1|2]), (107,142,[1_1|2]), (107,518,[1_1|2]), (107,526,[1_1|2]), (107,532,[1_1|2]), (107,545,[1_1|2]), (107,561,[1_1|2]), (107,685,[1_1|2]), (107,572,[1_1|2]), (108,109,[0_1|2]), (108,722,[0_1|3]), (109,110,[1_1|2]), (110,111,[2_1|2]), (111,112,[1_1|2]), (112,113,[5_1|2]), (113,114,[3_1|2]), (114,71,[1_1|2]), (114,514,[1_1|2]), (114,538,[1_1|2]), (114,552,[1_1|2]), (114,571,[1_1|2]), (114,646,[1_1|2]), (114,652,[1_1|2]), (114,367,[1_1|2]), (114,473,[1_1|2]), (115,116,[5_1|2]), (116,117,[1_1|2]), (117,118,[3_1|2]), (118,119,[4_1|2]), (119,120,[0_1|2]), (120,121,[0_1|2]), (121,122,[0_1|2]), (121,72,[0_1|2]), (121,75,[0_1|2]), (121,82,[0_1|2]), (121,86,[0_1|2]), (121,90,[0_1|2]), (121,98,[0_1|2]), (121,108,[0_1|2]), (121,115,[0_1|2]), (121,123,[0_1|2]), (121,131,[0_1|2]), (121,725,[0_1|3]), (121,728,[0_1|3]), (122,71,[1_1|2]), (122,514,[1_1|2]), (122,538,[1_1|2]), (122,552,[1_1|2]), (122,571,[1_1|2]), (122,646,[1_1|2]), (122,652,[1_1|2]), (122,143,[1_1|2]), (122,686,[1_1|2]), (123,124,[5_1|2]), (124,125,[1_1|2]), (125,126,[3_1|2]), (126,127,[3_1|2]), (127,128,[4_1|2]), (128,129,[1_1|2]), (129,130,[0_1|2]), (130,71,[2_1|2]), (130,142,[2_1|2]), (130,518,[2_1|2]), (130,526,[2_1|2]), (130,532,[2_1|2]), (130,545,[2_1|2]), (130,561,[2_1|2]), (130,685,[2_1|2]), (130,572,[2_1|2]), (130,328,[0_1|2]), (130,332,[0_1|2]), (130,339,[0_1|2]), (130,348,[2_1|2]), 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----------------------------------------

(8)
BOUNDS(1, n^1)