MAYBE

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

Strict Trs:
  { division(x, y) -> div(x, y, 0())
  , div(x, y, z) -> if(lt(x, y), x, y, inc(z))
  , if(true(), x, y, z) -> z
  , if(false(), x, s(y), z) -> div(minus(x, s(y)), s(y), z)
  , lt(x, 0()) -> false()
  , lt(0(), s(y)) -> true()
  , lt(s(x), s(y)) -> lt(x, y)
  , inc(0()) -> s(0())
  , inc(s(x)) -> s(inc(x))
  , minus(x, 0()) -> x
  , minus(s(x), s(y)) -> minus(x, y) }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

The input cannot be shown compatible

Arrrr..