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

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