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(x, g(x)) -> x
     , f(x, h(y)) -> f(h(x), y)}

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