Consider the following premises. For all x_13, x_13 is not an artist. For all x_13, if x_13 listens to a song, then x_13 is playing squash. For all x_13, if x_13 plays squash, then x_13 is a carpenter. There is at least one x_13 for which if x_13 were a nurse, then x_13 is an artist. For all x_13, x_13 is a carpenter if and only if x_13 is a nurse. Can we infer the following from them? There is at least one x_13 for which x_13 will not listen to a song.
 From the fact that there is at least one x_13 for which if x_13 were a nurse, then x_13 is an artist, and that for all x_13, x_13 is not an artist we can infer that there is at least one x_13 for which x_13 is not a nurse. From the fact that for all x_13, if x_13 listens to a song, then x_13 is playing squash, and that for all x_13, if x_13 plays squash, then x_13 is a carpenter we can infer that for all x_13, if x_13 listens to a song, then x_13 is a carpenter. From the fact that for all x_13, x_13 is a carpenter if and only if x_13 is a nurse, and that there is at least one x_13 for which x_13 is not a nurse we can infer that there is at least one x_13 for which x_13 is not a carpenter. Finally, from the fact that for all x_13, if x_13 listens to a song, then x_13 is a carpenter, and that there is at least one x_13 for which x_13 is not a carpenter we can infer that there is at least one x_13 for which x_13 will not listen to a song. Therefore, the answer is yes.