Consider the following premises. For all x_8, x_8 will not write a letter. For all z_1, if z_1 plays a game, then z_1 is sleeping. For all x_8, x_8 will write a letter or x_8 will play a game. Can we infer the following from them? John is not sleeping.
 From the fact that for all x_8, x_8 will write a letter or x_8 will play a game, and that for all x_8, x_8 will not write a letter we can infer that for all x_8, x_8 will play a game. From the fact that for all x_8, x_8 will play a game we can infer that John is playing a game. From the fact that for all z_1, if z_1 plays a game, then z_1 is sleeping we can infer that if John plays a game, then John is sleeping. Finally, from the fact that if John plays a game, then John is sleeping, and that John is playing a game we can infer that John is sleeping, which contradicts that John is not sleeping. Therefore, the answer is no.