MAYBE

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

Strict Trs:
  { minus(s(x), y) -> if(gt(s(x), y), x, y)
  , if(true(), x, y) -> s(minus(x, y))
  , if(false(), x, y) -> 0()
  , gt(s(x), s(y)) -> gt(x, y)
  , gt(s(x), 0()) -> true()
  , gt(0(), y) -> false()
  , ge(x, 0()) -> true()
  , ge(s(x), s(y)) -> ge(x, y)
  , ge(0(), s(x)) -> false()
  , div(x, y) -> if1(ge(x, y), x, y)
  , if1(true(), x, y) -> if2(gt(y, 0()), x, y)
  , if1(false(), x, y) -> 0()
  , if2(true(), x, y) -> s(div(minus(x, y), y))
  , if2(false(), x, y) -> 0() }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

The input cannot be shown compatible

Arrrr..