MAYBE

We are left with following problem, upon which TcT provides the
certificate MAYBE.

Strict Trs:
  { ge(x, 0()) -> true()
  , ge(0(), s(y)) -> false()
  , ge(s(x), s(y)) -> ge(x, y)
  , minus(x, 0()) -> x
  , minus(0(), y) -> 0()
  , minus(s(x), s(y)) -> minus(x, y)
  , id_inc(x) -> x
  , id_inc(x) -> s(x)
  , div(x, y) -> if(ge(y, s(0())), ge(x, y), x, y)
  , if(true(), true(), x, y) -> id_inc(div(minus(x, y), y))
  , if(true(), false(), x, y) -> 0()
  , if(false(), b, x, y) -> div_by_zero() }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

The input cannot be shown compatible

Arrrr..