Consider the following premises. For all x_5, if x_5 were an astronaut, then x_5 is curious. There is at least one x_5 for which if x_5 listens to a song, then x_5 is playing a game. For all x_5, x_5 is not curious. For all x_5, if x_5 plays a game, then x_5 is an astronaut. Can we infer the following from them? There is at least one x_5 for which x_5 will not listen to a song.
 From the fact that for all x_5, if x_5 were an astronaut, then x_5 is curious, and that for all x_5, x_5 is not curious we can infer that for all x_5, x_5 is not an astronaut. From the fact that for all x_5, if x_5 plays a game, then x_5 is an astronaut, and that for all x_5, x_5 is not an astronaut 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 if x_5 listens to a song, then x_5 is playing a game, 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 listen to a song. Therefore, the answer is yes.