Consider the following premises. For all x_14, if x_14 cooks, then x_14 is not an electrician. For all x_14, if x_14 were a cashier, then x_14 is cooking. For all x_14, x_14 is an electrician. For all x_14, if x_14 cooks, then x_14 is a cashier. Mary is a cashier or it is raining. Can we infer the following from them? It is not raining.
 From the fact that for all x_14, if x_14 cooks, then x_14 is a cashier, and that for all x_14, if x_14 were a cashier, then x_14 is cooking we can infer that for all x_14, x_14 will cook if and only if x_14 is a cashier. From the fact that for all x_14, if x_14 cooks, then x_14 is not an electrician, and that for all x_14, x_14 is an electrician we can infer that for all x_14, x_14 will not cook. From the fact that for all x_14, x_14 will cook if and only if x_14 is a cashier, and that for all x_14, x_14 will not cook we can infer that for all x_14, x_14 is not a cashier. From the fact that for all x_14, x_14 is not a cashier we can infer that Mary is not a cashier. Finally, from the fact that Mary is a cashier or it is raining, and that Mary is not a cashier we can infer that it is raining, which contradicts that It is not raining. Therefore, the answer is no.