Consider the following premises. There is at least one x_11 for which x_11 will cook or x_11 is not a sailor. For all x_11, if x_11 cooks, then x_11 is running. For all x_11, x_11 is a soldier or x_11 will not go running. Can we infer the following from them? There is at least one x_11 for which if x_11 were a sailor, then x_11 is a soldier.
 From the fact that for all x_11, x_11 is a soldier or x_11 will not go running we can infer that for all x_11, if x_11 goes running, then x_11 is a soldier. From the fact that there is at least one x_11 for which x_11 will cook or x_11 is not a sailor we can infer that there is at least one x_11 for which if x_11 were a sailor, then x_11 is cooking. From the fact that for all x_11, if x_11 cooks, then x_11 is running, and that for all x_11, if x_11 goes running, then x_11 is a soldier we can infer that for all x_11, if x_11 cooks, then x_11 is a soldier. Finally, from the fact that there is at least one x_11 for which if x_11 were a sailor, then x_11 is cooking, and that for all x_11, if x_11 cooks, then x_11 is a soldier we can infer that there is at least one x_11 for which if x_11 were a sailor, then x_11 is a soldier. Therefore, the answer is yes.