Consider the following premises. For all x_16, x_16 will play a game or x_16 is not a soldier. If James plays a game, then it is cloudy. James is a soldier. Can we infer the following from them? If we can, name the inference rule being used: It is not cloudy.
 From the fact that for all x_16, x_16 will play a game or x_16 is not a soldier we can infer that for all x_16, if x_16 were a soldier, then x_16 is playing a game via universal rewriting. From the fact that for all x_16, if x_16 were a soldier, then x_16 is playing a game we can infer that if James were a soldier, then James is playing a game via universal instantiation. From the fact that if James were a soldier, then James is playing a game, and that James is a soldier we can infer that James is playing a game via modus ponens. Finally, from the fact that if James plays a game, then it is cloudy, and that James is playing a game we can infer that it is cloudy via modus ponens, which contradicts that It is not cloudy. Therefore, the answer is no.