Consider the following premises. For all x_11, x_11 will read a book if and only if x_11 is a janitor. For all x_11, x_11 will play tennis or x_11 is a carpenter. For all x_11, if x_11 were a carpenter, then x_11 is a janitor. For all x_11, x_11 will not read a book. For all x_11, if x_11 were a janitor, then x_11 is a carpenter. For all x_11, x_11 will not play tennis or x_11 will play a game. Can we infer the following from them? There is at least one x_11 for which x_11 will not play a game.
 From the fact that for all x_11, if x_11 were a janitor, then x_11 is a carpenter, and that for all x_11, if x_11 were a carpenter, then x_11 is a janitor we can infer that for all x_11, x_11 is a janitor if and only if x_11 is a carpenter. From the fact that for all x_11, x_11 will read a book if and only if x_11 is a janitor, and that for all x_11, x_11 will not read a book we can infer that for all x_11, x_11 is not a janitor. From the fact that for all x_11, x_11 is a janitor if and only if x_11 is a carpenter, and that for all x_11, x_11 is not a janitor we can infer that for all x_11, x_11 is not a carpenter. From the fact that for all x_11, x_11 will play tennis or x_11 is a carpenter, and that for all x_11, x_11 will not play tennis or x_11 will play a game we can infer that for all x_11, x_11 is a carpenter or x_11 will play a game. Finally, from the fact that for all x_11, x_11 is a carpenter or x_11 will play a game, and that for all x_11, x_11 is not a carpenter we can infer that for all x_11, x_11 will play a game, which contradicts that There is at least one x_11 for which x_11 will not play a game. Therefore, the answer is no.