WORST_CASE(?,O(n^3))

Solution:
---------

  "0" :: [] -(0)-> "A"(11, 0, 0)
  "0" :: [] -(0)-> "A"(0, 0, 0)
  "choose" :: ["A"(0, 0, 0) x "A"(0, 11, 0) x "A"(0, 0, 0) x "A"(11, 0, 0)] -(1)-> "A"(0, 0, 0)
  "cons" :: ["A"(2, 0, 0) x "A"(15, 13, 13)] -(2)-> "A"(2, 13, 13)
  "cons" :: ["A"(11, 0, 0) x "A"(11, 0, 0)] -(11)-> "A"(11, 0, 0)
  "cons" :: ["A"(0, 0, 0) x "A"(11, 0, 0)] -(0)-> "A"(0, 11, 0)
  "cons" :: ["A"(0, 0, 0) x "A"(15, 13, 13)] -(0)-> "A"(0, 15, 13)
  "cons" :: ["A"(0, 0, 0) x "A"(0, 0, 0)] -(0)-> "A"(0, 0, 0)
  "insert" :: ["A"(0, 0, 0) x "A"(11, 0, 0)] -(1)-> "A"(0, 0, 0)
  "nil" :: [] -(0)-> "A"(2, 13, 13)
  "nil" :: [] -(0)-> "A"(11, 0, 0)
  "nil" :: [] -(0)-> "A"(15, 15, 15)
  "s" :: ["A"(11, 0, 0)] -(11)-> "A"(11, 0, 0)
  "s" :: ["A"(0, 0, 0)] -(0)-> "A"(0, 0, 0)
  "sort" :: ["A"(2, 13, 13)] -(12)-> "A"(0, 0, 0)


Cost Free Signatures:
---------------------

  "0" :: [] -(0)-> "A"_cf(0, 0, 0)
  "choose" :: ["A"_cf(13, 0, 0) x "A"_cf(13, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(13)-> "A"_cf(13, 0, 0)
  "choose" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(8)-> "A"_cf(0, 0, 0)
  "choose" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0)
  "choose" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(9)-> "A"_cf(0, 0, 0)
  "cons" :: ["A"_cf(13, 0, 0) x "A"_cf(13, 0, 0)] -(13)-> "A"_cf(13, 0, 0)
  "cons" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0)
  "cons" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 8, 8)] -(0)-> "A"_cf(0, 0, 8)
  "cons" :: ["A"_cf(0, 0, 0) x "A"_cf(14, 3, 3)] -(0)-> "A"_cf(0, 14, 3)
  "insert" :: ["A"_cf(13, 0, 0) x "A"_cf(13, 0, 0)] -(13)-> "A"_cf(13, 0, 0)
  "insert" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(8)-> "A"_cf(0, 0, 0)
  "insert" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0)
  "insert" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(9)-> "A"_cf(0, 0, 0)
  "nil" :: [] -(0)-> "A"_cf(13, 0, 0)
  "nil" :: [] -(0)-> "A"_cf(14, 14, 8)
  "nil" :: [] -(0)-> "A"_cf(15, 14, 0)
  "nil" :: [] -(0)-> "A"_cf(0, 0, 0)
  "nil" :: [] -(0)-> "A"_cf(0, 8, 8)
  "nil" :: [] -(0)-> "A"_cf(14, 8, 8)
  "s" :: ["A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0)
  "sort" :: ["A"_cf(13, 0, 0)] -(0)-> "A"_cf(13, 0, 0)


Base Constructors:
------------------
  "\"0\"_A" :: [] -(0)-> "A"(1, 0, 0)
  "\"0\"_A" :: [] -(0)-> "A"(0, 1, 0)
  "\"0\"_A" :: [] -(1)-> "A"(0, 0, 1)
  "\"cons\"_A" :: ["A"(1, 0, 0) x "A"(1, 0, 0)] -(1)-> "A"(1, 0, 0)
  "\"cons\"_A" :: ["A"(0, 0, 0) x "A"(1, 0, 0)] -(0)-> "A"(0, 1, 0)
  "\"cons\"_A" :: ["A"(0, 0, 0) x "A"(0, 1, 1)] -(0)-> "A"(0, 0, 1)
  "\"nil\"_A" :: [] -(0)-> "A"(1, 0, 0)
  "\"nil\"_A" :: [] -(0)-> "A"(0, 1, 0)
  "\"nil\"_A" :: [] -(0)-> "A"(0, 0, 1)
  "\"s\"_A" :: ["A"(1, 0, 0)] -(1)-> "A"(1, 0, 0)
  "\"s\"_A" :: ["A"(0, 0, 0)] -(0)-> "A"(0, 1, 0)
  "\"s\"_A" :: ["A"(1, 0, 0)] -(1)-> "A"(0, 0, 1)