Consider the following premises. For all x_5, x_5 will cook and x_5 is rich. There is at least one x_5 for which x_5 is a nurse. Can we infer the following from them? For all x_5, x_5 is not a nurse.
 From the fact that for all x_5, x_5 will cook and x_5 is rich we can infer that for all x_5, x_5 will cook. From the fact that there is at least one x_5 for which x_5 is a nurse, and that for all x_5, x_5 will cook we can infer that some nurses will cook. Finally, from the fact that some nurses will cook we can infer that there is at least one x_5 for which x_5 is a nurse, which contradicts that For all x_5, x_5 is not a nurse. Therefore, the answer is no.