MAYBE

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

Strict Trs:
  { cond1(true(), x, y) -> cond2(gr(x, y), x, y)
  , cond2(true(), x, y) -> cond3(gr(x, 0()), x, y)
  , cond2(false(), x, y) -> cond4(gr(y, 0()), x, y)
  , gr(0(), x) -> false()
  , gr(s(x), 0()) -> true()
  , gr(s(x), s(y)) -> gr(x, y)
  , cond3(true(), x, y) -> cond3(gr(x, 0()), p(x), y)
  , cond3(false(), x, y) -> cond1(and(gr(x, 0()), gr(y, 0())), x, y)
  , cond4(true(), x, y) -> cond4(gr(y, 0()), x, p(y))
  , cond4(false(), x, y) -> cond1(and(gr(x, 0()), gr(y, 0())), x, y)
  , p(0()) -> 0()
  , p(s(x)) -> x
  , and(x, false()) -> false()
  , and(true(), true()) -> true()
  , and(false(), x) -> false() }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

The input cannot be shown compatible

Arrrr..