Consider the following premises. For all x_8, x_8 will go running if and only if x_8 will cook. For all x_8, x_8 is a sailor if and only if x_8 will go running. Can we infer the following from them? For all x_8, if x_8 cooks, then x_8 is a sailor.
 From the fact that for all x_8, x_8 is a sailor if and only if x_8 will go running we can infer that for all x_8, if x_8 goes running, then x_8 is a sailor. From the fact that for all x_8, x_8 will go running if and only if x_8 will cook we can infer that for all x_8, if x_8 cooks, then x_8 is running. Finally, from the fact that for all x_8, if x_8 cooks, then x_8 is running, and that for all x_8, if x_8 goes running, then x_8 is a sailor we can infer that for all x_8, if x_8 cooks, then x_8 is a sailor. Therefore, the answer is yes.