Consider the following premises. There is at least one x_13 for which x_13 is not bored. For all x_13, x_13 is a taxi driver if and only if x_13 will listen to a song. For all x_13, if x_13 were a taxi driver, then x_13 is listening to a song. For all x_13, x_13 is a taxi driver if and only if x_13 is bored. 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 for all x_13, x_13 is a taxi driver if and only if x_13 will listen to a song we can infer that for all x_13, if x_13 listens to a song, then x_13 is a taxi driver. From the fact that for all x_13, x_13 is a taxi driver if and only if x_13 is bored, and that there is at least one x_13 for which x_13 is not bored we can infer that there is at least one x_13 for which x_13 is not a taxi driver. From the fact that for all x_13, if x_13 were a taxi driver, then x_13 is listening to a song, and that for all x_13, if x_13 listens to a song, then x_13 is a taxi driver we can infer that for all x_13, x_13 is a taxi driver if and only if x_13 will listen to a song. Finally, from the fact that for all x_13, x_13 is a taxi driver if and only if x_13 will listen to a song, and that there is at least one x_13 for which x_13 is not a taxi driver 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.