Consider the following premises. Jessica is not a carpenter. Jessica is cooking or it is overcast. For all x_10, if x_10 cooks, then x_10 is a carpenter. Can we infer the following from them? It is not overcast.
 From the fact that for all x_10, if x_10 cooks, then x_10 is a carpenter we can infer that if Jessica cooks, then Jessica is a carpenter. From the fact that if Jessica cooks, then Jessica is a carpenter, and that Jessica is not a carpenter we can infer that Jessica is not cooking. Finally, from the fact that Jessica is cooking or it is overcast, and that Jessica is not cooking we can infer that it is overcast, which contradicts that It is not overcast. Therefore, the answer is no.