Consider the following premises. For all x_2, x_2 will go running. There is at least one x_2 for which x_2 is curious or x_2 will not go running. For all x_2, if x_2 were curious, then x_2 is cooking. Can we infer the following from them? There is at least one x_2 for which x_2 will cook.
 From the fact that there is at least one x_2 for which x_2 is curious or x_2 will not go running we can infer that there is at least one x_2 for which if x_2 goes running, then x_2 is curious. From the fact that there is at least one x_2 for which if x_2 goes running, then x_2 is curious, and that for all x_2, if x_2 were curious, then x_2 is cooking we can infer that there is at least one x_2 for which if x_2 goes running, then x_2 is cooking. Finally, from the fact that there is at least one x_2 for which if x_2 goes running, then x_2 is cooking, and that for all x_2, x_2 will go running we can infer that there is at least one x_2 for which x_2 will cook. Therefore, the answer is yes.