Consider the following premises. If it snows, then Joseph is playing tennis. For all x_11, x_11 will not cook. For all x_11, x_11 will cook or x_11 will not play tennis. Can we infer the following from them? If we can, name the inference rule being used: It is snowing.
 From the fact that for all x_11, x_11 will cook or x_11 will not play tennis we can infer that for all x_11, if x_11 plays tennis, then x_11 is cooking via universal rewriting. From the fact that for all x_11, if x_11 plays tennis, then x_11 is cooking, and that for all x_11, x_11 will not cook we can infer that for all x_11, x_11 will not play tennis via universal modus tollens. From the fact that for all x_11, x_11 will not play tennis we can infer that Joseph is not playing tennis via universal instantiation. Finally, from the fact that if it snows, then Joseph is playing tennis, and that Joseph is not playing tennis we can infer that it is not snowing via modus tollens, which contradicts that It is snowing. Therefore, the answer is no.