Consider the following premises. Robert is a scientist or Elisabeth is writing a letter. For all x_14, if x_14 cooks, then x_14 is a police officer. If Elisabeth writes a letter, then Jennifer is cooking. If Robert were a scientist, then Jennifer is cooking. Can we infer the following from them? Jennifer is a police officer.
 From the fact that for all x_14, if x_14 cooks, then x_14 is a police officer we can infer that if Jennifer cooks, then Jennifer is a police officer. From the fact that if Robert were a scientist, then Jennifer is cooking, that if Elisabeth writes a letter, then Jennifer is cooking, and that Robert is a scientist or Elisabeth is writing a letter we can infer that Jennifer is cooking. Finally, from the fact that if Jennifer cooks, then Jennifer is a police officer, and that Jennifer is cooking we can infer that Jennifer is a police officer. Therefore, the answer is yes.