Consider the following premises. There is at least one x_8 for which x_8 is curious or x_8 will listen to a song. For all x_8, x_8 will not play a game. For all x_8, x_8 will play a game if and only if x_8 is curious. Can we infer the following from them? There is at least one x_8 for which x_8 will listen to a song.
 From the fact that for all x_8, x_8 will play a game if and only if x_8 is curious we can infer that for all x_8, if x_8 were curious, then x_8 is playing a game. From the fact that for all x_8, if x_8 were curious, then x_8 is playing a game, and that for all x_8, x_8 will not play a game we can infer that for all x_8, x_8 is not curious. Finally, from the fact that there is at least one x_8 for which x_8 is curious or x_8 will listen to a song, and that for all x_8, x_8 is not curious we can infer that there is at least one x_8 for which x_8 will listen to a song. Therefore, the answer is yes.