Consider the following premises. There is at least one x_8 for which x_8 is happy or x_8 will read a book. For all x_8, x_8 will listen to a song or x_8 will not read a book. For all x_8, x_8 will listen to a song if and only if x_8 is happy. 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 listen to a song if and only if x_8 is happy we can infer that for all x_8, if x_8 were happy, then x_8 is listening to a song. From the fact that for all x_8, x_8 will listen to a song or x_8 will not read a book we can infer that for all x_8, if x_8 reads a book, then x_8 is listening to a song. Finally, from the fact that for all x_8, if x_8 were happy, then x_8 is listening to a song, that for all x_8, if x_8 reads a book, then x_8 is listening to a song, and that there is at least one x_8 for which x_8 is happy or x_8 will read a book 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.