Consider the following premises. There is at least one x_5 for which x_5 is not an astronaut. For all x_5, x_5 is a nurse. For all x_5, x_5 is an astronaut or x_5 is a writer. Can we infer the following from them? Some nurses are writers.
 From the fact that for all x_5, x_5 is an astronaut or x_5 is a writer, and that there is at least one x_5 for which x_5 is not an astronaut we can infer that there is at least one x_5 for which x_5 is a writer. Finally, from the fact that for all x_5, x_5 is a nurse, and that there is at least one x_5 for which x_5 is a writer we can infer that some nurses are writers. Therefore, the answer is yes.