YES(?,ELEMENTARY)

'epo* (timeout of 60.0 seconds)'
--------------------------------
Answer:           YES(?,ELEMENTARY)
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  add(0(), x) -> x
     , add(s(x), y) -> s(add(x, y))
     , mult(0(), x) -> 0()
     , mult(s(x), y) -> add(y, mult(x, y))}

Proof Output:    
  Strict Rules in Predicative Notation:
   {  add(0(); x) -> x
    , add(s(; x); y) -> s(; add(x; y))
    , mult(0(), x;) -> 0()
    , mult(s(; x), y;) -> add(y; mult(x, y;))}
  Safe Mapping:
   safe(add) = {2}, safe(0) = {}, safe(s) = {1}, safe(mult) = {}
  Argument Permutation:
   mu(add) = [2, 1], mu(mult) = [2, 1]
  Precedence:
   mult ~ mult, mult > add, add ~ add