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:
    {  minus(x, 0()) -> x
     , minus(s(x), s(y)) -> minus(x, y)
     , quot(0(), s(y)) -> 0()
     , quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
     , 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())
     , log(x) -> logIter(x, 0())
     , logIter(x, y) ->
       if(le(s(0()), x), le(s(s(0())), x), quot(x, s(s(0()))), inc(y))
     , if(false(), b, x, y) -> logZeroError()
     , if(true(), false(), x, s(y)) -> y
     , if(true(), true(), x, y) -> logIter(x, y)}

Proof Output:    
  The input cannot be shown compatible