Consider the following premises. For all x_13, if x_13 were bored, then x_13 is a carpenter. There is at least one x_13 for which x_13 will listen to a song or x_13 is bored. For all x_13, x_13 is a police officer and x_13 is a taxi driver. For all x_13, if x_13 listens to a song, then x_13 is a carpenter. Can we infer the following from them? There is at least one x_13 for which x_13 is a police officer and x_13 is a carpenter.
 From the fact that for all x_13, if x_13 listens to a song, then x_13 is a carpenter, that for all x_13, if x_13 were bored, then x_13 is a carpenter, and that there is at least one x_13 for which x_13 will listen to a song or x_13 is bored we can infer that there is at least one x_13 for which x_13 is a carpenter. From the fact that for all x_13, x_13 is a police officer and x_13 is a taxi driver we can infer that for all x_13, x_13 is a police officer. Finally, from the fact that for all x_13, x_13 is a police officer, and that there is at least one x_13 for which x_13 is a carpenter we can infer that there is at least one x_13 for which x_13 is a police officer and x_13 is a carpenter. Therefore, the answer is yes.