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:
    {  plus(0(), x) -> x
     , plus(s(x), y) -> s(plus(p(s(x)), y))
     , times(0(), y) -> 0()
     , times(s(x), y) -> plus(y, times(p(s(x)), y))
     , p(s(0())) -> 0()
     , p(s(s(x))) -> s(p(s(x)))
     , fac(0(), x) -> x
     , fac(s(x), y) -> fac(p(s(x)), times(s(x), y))
     , factorial(x) -> fac(x, s(0()))}

Proof Output:    
  The input cannot be shown compatible