0.00/0.68 YES 0.00/0.68 0.00/0.68 Problem: 0.00/0.69 split(x, nil()) -> tp2(nil(), nil()) 0.00/0.69 split(x, cons(y, ys)) -> tp2(zs1, cons(y, zs2)) <= split(x, ys) = tp2(zs1, zs2), le(x, y) = true() 0.00/0.69 split(x, cons(y, ys)) -> tp2(cons(y, zs1), zs2) <= split(x, ys) = tp2(zs1, zs2), le(x, y) = false() 0.00/0.69 le(0(), y) -> true() 0.00/0.69 le(s(x), 0()) -> false() 0.00/0.69 le(s(x), s(y)) -> le(x, y) 0.00/0.69 0.00/0.69 Proof: 0.00/0.69 This system is confluent. 0.00/0.69 By \cite{GNG13}, Theorem 9. 0.00/0.69 This system is of type 3 or smaller. 0.00/0.69 This system is deterministic. 0.00/0.69 This system is weakly left-linear. 0.00/0.69 System R transformed to optimized U(R). 0.00/0.69 This system is orthogonal. 0.00/0.69 0.00/0.99 EOF