Consider the following premises. Mary is not making tea or it is overcast. For all x_6, x_6 is a carpenter. For all x_6, x_6 is not a carpenter or x_6 will cook. Can we infer the following from them? Mary is cooking or it is overcast.
 From the fact that for all x_6, x_6 is a carpenter we can infer that for all x_6, x_6 is a carpenter or x_6 will make tea. From the fact that for all x_6, x_6 is a carpenter or x_6 will make tea, and that for all x_6, x_6 is not a carpenter or x_6 will cook we can infer that for all x_6, x_6 will make tea or x_6 will cook. From the fact that for all x_6, x_6 will make tea or x_6 will cook we can infer that Mary is making tea or Mary is cooking. Finally, from the fact that Mary is making tea or Mary is cooking, and that Mary is not making tea or it is overcast we can infer that Mary is cooking or it is overcast. Therefore, the answer is yes.