Consider the following premises. For all x_10, if x_10 sleeps, then x_10 is a carpenter. There is at least one x_10 for which x_10 is not bored. For all x_10, x_10 will sleep or x_10 is a police officer. For all x_10, if x_10 were a carpenter, then x_10 is bored. Can we infer the following from them? There is at least one x_10 for which x_10 is a police officer.
 From the fact that for all x_10, if x_10 were a carpenter, then x_10 is bored, and that there is at least one x_10 for which x_10 is not bored we can infer that there is at least one x_10 for which x_10 is not a carpenter. From the fact that for all x_10, if x_10 sleeps, then x_10 is a carpenter, and that there is at least one x_10 for which x_10 is not a carpenter we can infer that there is at least one x_10 for which x_10 will not sleep. Finally, from the fact that for all x_10, x_10 will sleep or x_10 is a police officer, and that there is at least one x_10 for which x_10 will not sleep we can infer that there is at least one x_10 for which x_10 is a police officer. Therefore, the answer is yes.