MAYBE MAYBE TRS: { cond(false(), x, y) -> 0(), cond(true(), x, y) -> s(minus(x, s(y))), ge(u, 0()) -> true(), ge(s(u), s(v)) -> ge(u, v), ge(0(), s(v)) -> false(), minus(x, y) -> cond(ge(x, s(y)), x, y) } DUP: We consider a duplicating system. Trs: { cond(false(), x, y) -> 0(), cond(true(), x, y) -> s(minus(x, s(y))), ge(u, 0()) -> true(), ge(s(u), s(v)) -> ge(u, v), ge(0(), s(v)) -> false(), minus(x, y) -> cond(ge(x, s(y)), x, y) } Fail