Consider the following premises. For all x_12, x_12 will drive a car or x_12 is a police officer. There is at least one x_12 for which if x_12 makes tea, then x_12 is an astronaut. For all x_12, x_12 will not drive a car. For all x_12, if x_12 writes a letter, then x_12 is an astronaut. For all x_12, x_12 will write a letter or x_12 will make tea. Can we infer the following from them? There is at least one x_12 for which x_12 is an astronaut and x_12 is a police officer.
 From the fact that for all x_12, if x_12 writes a letter, then x_12 is an astronaut, that there is at least one x_12 for which if x_12 makes tea, then x_12 is an astronaut, and that for all x_12, x_12 will write a letter or x_12 will make tea we can infer that there is at least one x_12 for which x_12 is an astronaut. From the fact that for all x_12, x_12 will drive a car or x_12 is a police officer, and that for all x_12, x_12 will not drive a car we can infer that for all x_12, x_12 is a police officer. Finally, from the fact that there is at least one x_12 for which x_12 is an astronaut, and that for all x_12, x_12 is a police officer we can infer that there is at least one x_12 for which x_12 is an astronaut and x_12 is a police officer. Therefore, the answer is yes.