MAYBE

'epo* (timeout of 60.0 seconds)'
--------------------------------
Answer:           MAYBE
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  half(0()) -> 0()
     , half(s(0())) -> 0()
     , half(s(s(x))) -> s(half(x))
     , le(0(), y) -> true()
     , le(s(x), 0()) -> false()
     , le(s(x), s(y)) -> le(x, y)
     , inc(s(x)) -> s(inc(x))
     , inc(0()) -> s(0())
     , logarithm(x) -> logIter(x, 0())
     , logIter(x, y) ->
       if(le(s(0()), x), le(s(s(0())), x), half(x), inc(y))
     , if(false(), b, x, y) -> logZeroError()
     , if(true(), false(), x, s(y)) -> y
     , if(true(), true(), x, y) -> logIter(x, y)
     , f() -> g()
     , f() -> h()}

Proof Output:    
  The input cannot be shown compatible