MAYBE

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

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

The input cannot be shown compatible

Arrrr..