Consider the following premises. For all x_8, if x_8 reads a book, then x_8 is a writer. For all x_8, x_8 will read a book or x_8 will listen to a song. For all x_8, if x_8 were a writer, then x_8 is playing a game. There is at least one x_8 for which if x_8 listens to a song, then x_8 is a writer. Can we infer the following from them? For all x_8, x_8 will not play a game.
 From the fact that for all x_8, if x_8 reads a book, then x_8 is a writer, that there is at least one x_8 for which if x_8 listens to a song, then x_8 is a writer, and that for all x_8, x_8 will read a book or x_8 will listen to a song we can infer that there is at least one x_8 for which x_8 is a writer. Finally, from the fact that for all x_8, if x_8 were a writer, then x_8 is playing a game, and that there is at least one x_8 for which x_8 is a writer we can infer that there is at least one x_8 for which x_8 will play a game, which contradicts that For all x_8, x_8 will not play a game. Therefore, the answer is no.