BEST_CASE(Omega(n^3),?)

Solution:
---------

  "0" :: [] -(0)-> "c"(0, 0, 0)
  "0" :: [] -(0)-> "c"(10, 1, 2)
  "app" :: ["c"(0, 0, 0) x "b"(0, 0, 0)] -(0)-> "b"(0, 0, 0)
  "div" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 0)
  "div'" :: ["c"(0, 3, 11) x "c"(0, 0, 0)] -(1)-> "a"(0, 1, 0)
  "div'" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(0)-> "a"(0, 0, 0)
  "div'" :: ["c"(10, 1, 2) x "c"(0, 0, 0)] -(1)-> "a"(0, 0, 1)
  "egypt" :: ["a"(0, 0, 1)] -(0)-> "b"(0, 0, 0)
  "h" :: ["c"(0, 0, 0) x "c"(0, 0, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 0)
  "i" :: ["a"(0, 1, 0) x "a"(0, 0, 0)] -(15)-> "a"(0, 0, 1)
  "minus" :: ["c"(14, 10, 7) x "c"(0, 0, 0)] -(9)-> "c"(8, 1, 0)
  "mult" :: ["c"(4, 7, 14) x "c"(0, 0, 0)] -(7)-> "c"(0, 4, 3)
  "mult" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(0)-> "c"(0, 0, 0)
  "nil" :: [] -(0)-> "b"(0, 0, 0)
  "s" :: ["c"(0, 0, 0)] -(0)-> "c"(0, 0, 0)
  "s" :: ["c"(15, 9, 4)] -(13)-> "c"(10, 1, 2)
  "s" :: ["c"(15, 15, 6)] -(6)-> "c"(0, 3, 3)


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

  "0" :: [] -(0)-> "c"_cf(0, 0, 0)
  "app" :: ["c"_cf(0, 0, 0) x "b"_cf(0, 0, 0)] -(0)-> "b"_cf(0, 0, 0)
  "div" :: ["c"_cf(0, 0, 0) x "c"_cf(0, 0, 0)] -(0)-> "c"_cf(0, 0, 0)
  "div'" :: ["c"_cf(0, 0, 0) x "c"_cf(0, 0, 0)] -(0)-> "a"_cf(0, 0, 0)
  "egypt" :: ["a"_cf(0, 0, 0)] -(0)-> "b"_cf(0, 0, 0)
  "h" :: ["c"_cf(0, 0, 0) x "c"_cf(0, 0, 0) x "c"_cf(0, 0, 0)] -(0)-> "c"_cf(0, 0, 0)
  "i" :: ["a"_cf(0, 0, 0) x "a"_cf(0, 0, 0)] -(0)-> "a"_cf(0, 0, 0)
  "minus" :: ["c"_cf(0, 0, 0) x "c"_cf(0, 0, 0)] -(0)-> "c"_cf(0, 0, 0)
  "mult" :: ["c"_cf(0, 0, 0) x "c"_cf(0, 0, 0)] -(0)-> "c"_cf(0, 0, 0)
  "nil" :: [] -(0)-> "b"_cf(0, 0, 0)
  "s" :: ["c"_cf(0, 0, 0)] -(0)-> "c"_cf(0, 0, 0)


Base Constructors:
------------------
  "\"0\"_c" :: [] -(0)-> "c"(1, 0, 0)
  "\"0\"_c" :: [] -(0)-> "c"(0, 1, 0)
  "\"0\"_c" :: [] -(0)-> "c"(0, 0, 1)
  "\"app\"_b" :: ["c"(0, 0, 0) x "b"(2, 5, 0)] -(1)-> "b"(1, 0, 0)
  "\"app\"_b" :: ["c"(0, 0, 0) x "b"(0, 12, 0)] -(1)-> "b"(0, 1, 0)
  "\"app\"_b" :: ["c"(0, 0, 0) x "b"(0, 3, 4)] -(1)-> "b"(0, 0, 1)
  "\"div'\"_a" :: ["c"(4, 2, 0) x "c"(0, 0, 0)] -(1)-> "a"(1, 0, 0)
  "\"div'\"_a" :: ["c"(0, 3, 11) x "c"(0, 0, 0)] -(1)-> "a"(0, 1, 0)
  "\"div'\"_a" :: ["c"(10, 1, 2) x "c"(0, 0, 0)] -(1)-> "a"(0, 0, 1)
  "\"minus\"_c" :: ["c"(1, 1, 0) x "c"(0, 0, 0)] -(1)-> "c"(1, 0, 0)
  "\"minus\"_c" :: ["c"(6, 2, 7) x "c"(0, 0, 0)] -(1)-> "c"(0, 1, 0)
  "\"minus\"_c" :: ["c"(0, 1, 8) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 1)
  "\"mult\"_c" :: ["c"(2, 0, 0) x "c"(0, 0, 0)] -(1)-> "c"(1, 0, 0)
  "\"mult\"_c" :: ["c"(1, 1, 2) x "c"(0, 0, 0)] -(1)-> "c"(0, 1, 0)
  "\"mult\"_c" :: ["c"(0, 1, 2) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 1)
  "\"nil\"_b" :: [] -(0)-> "b"(1, 0, 0)
  "\"nil\"_b" :: [] -(0)-> "b"(0, 1, 0)
  "\"nil\"_b" :: [] -(0)-> "b"(0, 0, 1)
  "\"s\"_c" :: ["c"(1, 0, 0)] -(1)-> "c"(1, 0, 0)
  "\"s\"_c" :: ["c"(5, 1, 0)] -(1)-> "c"(0, 1, 0)
  "\"s\"_c" :: ["c"(0, 4, 2)] -(1)-> "c"(0, 0, 1)