YES(?,POLY)

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

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