Consider the following premises. For all x_9, if x_9 plays a game, then x_9 is writing a letter. For all x_9, x_9 will play a game or x_9 will not sleep. For all x_9, if x_9 writes a letter, then x_9 is sleeping. Can we infer the following from them? The fact that James writes a letter does not imply that James is sleeping.
That contradicts the premises. Therefore the answer is no.