0.00/0.51 YES 0.00/0.51 0.00/0.51 Problem: 0.00/0.52 not(x) -> false() <= x = true() 0.00/0.52 not(x) -> true() <= x = false() 0.00/0.52 0.00/0.52 Proof: 0.00/0.52 This system is confluent. 0.00/0.52 By \cite{GNG13}, Theorem 9. 0.00/0.52 This system is of type 3 or smaller. 0.00/0.52 This system is deterministic. 0.00/0.52 This system is weakly left-linear. 0.00/0.52 System R transformed to optimized U(R). 0.00/0.52 This system is orthogonal. 0.00/0.52 0.00/0.84 EOF