Consider the following premises. For all x_7, x_7 will work or x_7 will go running. For all x_7, x_7 will work if and only if x_7 will make tea. For all x_7, if x_7 makes tea, then x_7 is cooking. For all x_7, if x_7 goes running, then x_7 is making tea. Can we infer the following from them? For all x_7, x_7 will cook.
 From the fact that for all x_7, x_7 will work if and only if x_7 will make tea we can infer that for all x_7, if x_7 works, then x_7 is making tea. From the fact that for all x_7, if x_7 works, then x_7 is making tea, that for all x_7, if x_7 goes running, then x_7 is making tea, and that for all x_7, x_7 will work or x_7 will go running we can infer that for all x_7, x_7 will make tea. Finally, from the fact that for all x_7, if x_7 makes tea, then x_7 is cooking, and that for all x_7, x_7 will make tea we can infer that for all x_7, x_7 will cook. Therefore, the answer is yes.