MAYBE

'Pop* with parameter subtitution (timeout of 60.0 seconds)'
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Answer:           MAYBE
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  f(0()) -> cons(0(), n__f(s(0())))
     , f(s(0())) -> f(p(s(0())))
     , p(s(X)) -> X
     , f(X) -> n__f(X)
     , activate(n__f(X)) -> f(X)
     , activate(X) -> X}

Proof Output:    
  The input cannot be shown compatible