Consider the following premises. For all x_5, if x_5 plays a game, then x_5 is a mechanic. There is at least one x_5 for which x_5 will play a game if and only if x_5 will read a book. For all x_5, if x_5 were a mechanic, then x_5 is playing a game. For all x_5, x_5 is not a mechanic. Can we infer the following from them? There is at least one x_5 for which x_5 will not read a book.
 From the fact that for all x_5, if x_5 plays a game, then x_5 is a mechanic, and that for all x_5, if x_5 were a mechanic, then x_5 is playing a game we can infer that for all x_5, x_5 will play a game if and only if x_5 is a mechanic. From the fact that for all x_5, x_5 will play a game if and only if x_5 is a mechanic, and that for all x_5, x_5 is not a mechanic we can infer that for all x_5, x_5 will not play a game. Finally, from the fact that there is at least one x_5 for which x_5 will play a game if and only if x_5 will read a book, and that for all x_5, x_5 will not play a game we can infer that there is at least one x_5 for which x_5 will not read a book. Therefore, the answer is yes.