Consider the following premises. For all x_4, if x_4 were a soldier, then x_4 is taking a plane. For all x_4, if x_4 reads a book, then x_4 is cooking. For all x_4, if x_4 takes a plane, then x_4 is cooking. There is at least one x_4 for which x_4 is a soldier. Can we infer the following from them? There is at least one x_4 for which x_4 will cook.
 From the fact that for all x_4, if x_4 were a soldier, then x_4 is taking a plane, and that for all x_4, if x_4 takes a plane, then x_4 is cooking we can infer that for all x_4, if x_4 were a soldier, then x_4 is cooking. From the fact that there is at least one x_4 for which x_4 is a soldier we can infer that there is at least one x_4 for which x_4 is a soldier or x_4 will read a book. Finally, from the fact that for all x_4, if x_4 were a soldier, then x_4 is cooking, that for all x_4, if x_4 reads a book, then x_4 is cooking, and that there is at least one x_4 for which x_4 is a soldier or x_4 will read a book we can infer that there is at least one x_4 for which x_4 will cook. Therefore, the answer is yes.