Consider the following premises. For all x_9, x_9 is a carpenter or x_9 will not drive a car. For all x_9, x_9 will listen to a song or x_9 will drive a car. For all x_9, if x_9 were a carpenter, then x_9 is listening to a song. For all x_9, if x_9 listens to a song, then x_9 is a carpenter. Can we infer the following from them? For all x_9, x_9 is a carpenter.
 From the fact that for all x_9, if x_9 listens to a song, then x_9 is a carpenter, and that for all x_9, if x_9 were a carpenter, then x_9 is listening to a song we can infer that for all x_9, x_9 will listen to a song if and only if x_9 is a carpenter. From the fact that for all x_9, x_9 is a carpenter or x_9 will not drive a car we can infer that for all x_9, if x_9 drives a car, then x_9 is a carpenter. From the fact that for all x_9, x_9 will listen to a song if and only if x_9 is a carpenter we can infer that for all x_9, if x_9 listens to a song, then x_9 is a carpenter. Finally, from the fact that for all x_9, if x_9 listens to a song, then x_9 is a carpenter, that for all x_9, if x_9 drives a car, then x_9 is a carpenter, and that for all x_9, x_9 will listen to a song or x_9 will drive a car we can infer that for all x_9, x_9 is a carpenter. Therefore, the answer is yes.