Consider the following premises. For all x_5, x_5 is not a lawyer or x_5 is a police officer. For all x_5, x_5 is sad. For all x_5, x_5 is not sad or x_5 is a writer. There is at least one x_5 for which x_5 is not a writer or x_5 is a taxi driver. Can we infer the following from them? There is at least one x_5 for which x_5 is a police officer or x_5 is a taxi driver.
 From the fact that for all x_5, x_5 is sad we can infer that for all x_5, x_5 is sad or x_5 is a lawyer. From the fact that for all x_5, x_5 is sad or x_5 is a lawyer, and that for all x_5, x_5 is not sad or x_5 is a writer we can infer that for all x_5, x_5 is a lawyer or x_5 is a writer. From the fact that for all x_5, x_5 is a lawyer or x_5 is a writer, and that for all x_5, x_5 is not a lawyer or x_5 is a police officer we can infer that for all x_5, x_5 is a writer or x_5 is a police officer. Finally, from the fact that for all x_5, x_5 is a writer or x_5 is a police officer, and that there is at least one x_5 for which x_5 is not a writer or x_5 is a taxi driver we can infer that there is at least one x_5 for which x_5 is a police officer or x_5 is a taxi driver. Therefore, the answer is yes.