YES(?,POLY)

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

Proof Output:    
  The input was oriented with the instance of POP* as induced by the precedence
  
   empty
  
  and safe mapping
  
   safe(add) = {}, safe(0) = {}, safe(s) = {1} .
  
  For your convenience, here is the input in predicative notation:
  
   Rules:
    {  add(0(), x;) -> x
     , add(s(; x), y;) -> s(; add(x, y;))}