Consider the following premises. There is at least one x_6 for which if x_6 reads a book, then x_6 is a carpenter. For all x_6, x_6 is not bored. For all x_6, if x_6 listens to a song, then x_6 is reading a book. For all x_6, if x_6 were a carpenter, then x_6 is bored. Can we infer the following from them? There is at least one x_6 for which x_6 will not listen to a song.
 From the fact that for all x_6, if x_6 listens to a song, then x_6 is reading a book, and that there is at least one x_6 for which if x_6 reads a book, then x_6 is a carpenter we can infer that there is at least one x_6 for which if x_6 listens to a song, then x_6 is a carpenter. From the fact that for all x_6, if x_6 were a carpenter, then x_6 is bored, and that for all x_6, x_6 is not bored we can infer that for all x_6, x_6 is not a carpenter. Finally, from the fact that there is at least one x_6 for which if x_6 listens to a song, then x_6 is a carpenter, and that for all x_6, x_6 is not a carpenter we can infer that there is at least one x_6 for which x_6 will not listen to a song. Therefore, the answer is yes.