YES(?,POLY)

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

Proof Output:    
  The input was oriented with the instance of POP* as induced by the precedence
  
   f > g
  
  and safe mapping
  
   safe(f) = {2}, safe(s) = {1}, safe(g) = {1, 2}, safe(0) = {} .
  
  For your convenience, here is the input in predicative notation:
  
   Rules:
    {  f(s(; x); y) -> f(x; g(; x, y))
     , f(0(); y) -> y
     , g(; x, y) -> y}