Consider the following premises. For all x_11, x_11 will listen to a song if and only if x_11 is a police officer. For all x_11, x_11 will play tennis and x_11 is an astronaut. For all x_11, x_11 will listen to a song or x_11 will play a game. For all x_11, if x_11 plays a game, then x_11 is a police officer. Can we infer the following from them? There is at least one x_11 for which either x_11 will play tennis or x_11 is a police officer are not true.
 From the fact that for all x_11, x_11 will listen to a song if and only if x_11 is a police officer we can infer that for all x_11, if x_11 listens to a song, then x_11 is a police officer. From the fact that for all x_11, if x_11 listens to a song, then x_11 is a police officer, that for all x_11, if x_11 plays a game, then x_11 is a police officer, and that for all x_11, x_11 will listen to a song or x_11 will play a game we can infer that for all x_11, x_11 is a police officer. From the fact that for all x_11, x_11 will play tennis and x_11 is an astronaut we can infer that for all x_11, x_11 will play tennis. Finally, from the fact that for all x_11, x_11 will play tennis, and that for all x_11, x_11 is a police officer we can infer that for all x_11, x_11 will play tennis and x_11 is a police officer, which contradicts that There is at least one x_11 for which either x_11 will play tennis or x_11 is a police officer are not true. Therefore, the answer is no.