Consider the following premises. For all x_6, if x_6 were a writer, then x_6 is an artist. For all x_6, x_6 will play a game. For all x_6, x_6 is a writer. There is at least one x_6 for which if x_6 reads a book, then x_6 is not an artist. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, x_6 will read a book.
 From the fact that for all x_6, if x_6 were a writer, then x_6 is an artist, and that for all x_6, x_6 is a writer we can infer that for all x_6, x_6 is an artist via universal modus ponens. From the fact that for all x_6, x_6 is an artist, and that for all x_6, x_6 will play a game we can infer that for all x_6, x_6 is an artist and x_6 will play a game via universal conjunction. From the fact that for all x_6, x_6 is an artist and x_6 will play a game we can infer that for all x_6, x_6 is an artist via universal simplification. Finally, from the fact that there is at least one x_6 for which if x_6 reads a book, then x_6 is not an artist, and that for all x_6, x_6 is an artist we can infer that there is at least one x_6 for which x_6 will not read a book via existential modus tollens, which contradicts that For all x_6, x_6 will read a book. Therefore, the answer is no.