Consider the following premises. There is at least one x_8 for which x_8 is not an artist or x_8 will play a game. For all x_8, if x_8 cooks, then x_8 is reading a book. For all x_8, if x_8 plays a game, then x_8 is reading a book. For all x_8, if x_8 reads a book, then x_8 is cooking. For all x_8, x_8 is an artist or x_8 will cook. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, x_8 will not read a book.
 From the fact that for all x_8, x_8 is an artist or x_8 will cook, and that there is at least one x_8 for which x_8 is not an artist or x_8 will play a game we can infer that there is at least one x_8 for which x_8 will cook or x_8 will play a game via existential resolution. From the fact that for all x_8, if x_8 cooks, then x_8 is reading a book, and that for all x_8, if x_8 reads a book, then x_8 is cooking we can infer that for all x_8, x_8 will cook if and only if x_8 will read a book via universal biconditional introduction. From the fact that for all x_8, x_8 will cook if and only if x_8 will read a book we can infer that for all x_8, if x_8 cooks, then x_8 is reading a book via universal biconditional elimination. Finally, from the fact that for all x_8, if x_8 cooks, then x_8 is reading a book, that for all x_8, if x_8 plays a game, then x_8 is reading a book, and that there is at least one x_8 for which x_8 will cook or x_8 will play a game we can infer that there is at least one x_8 for which x_8 will read a book via existential disjunction elimination, which contradicts that For all x_8, x_8 will not read a book. Therefore, the answer is no.