Consider the following premises. It is late if and only if Thomas is a nurse. Michael is playing a game if and only if William is running. For all x_23, x_23 is not a nurse. Michael is not playing a game. Can we infer the following from them? It is not late and William is not running.
 From the fact that for all x_23, x_23 is not a nurse we can infer that Thomas is not a nurse. From the fact that it is late if and only if Thomas is a nurse, and that Thomas is not a nurse we can infer that it is not late. From the fact that Michael is playing a game if and only if William is running, and that Michael is not playing a game we can infer that William is not running. Finally, from the fact that it is not late, and that William is not running we can infer that it is not late and William is not running. Therefore, the answer is yes.