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:
    {  cond1(true(), x) -> cond2(even(x), x)
     , cond2(true(), x) -> cond1(neq(x, 0()), div2(x))
     , cond2(false(), x) -> cond1(neq(x, 0()), p(x))
     , neq(0(), 0()) -> false()
     , neq(0(), s(x)) -> true()
     , neq(s(x), 0()) -> true()
     , neq(s(x), s(y())) -> neq(x, y())
     , even(0()) -> true()
     , even(s(0())) -> false()
     , even(s(s(x))) -> even(x)
     , div2(0()) -> 0()
     , div2(s(0())) -> 0()
     , div2(s(s(x))) -> s(div2(x))
     , p(0()) -> 0()
     , p(s(x)) -> x}

Proof Output:    
  The input cannot be shown compatible