Consider the following premises. For all x_12, x_12 will take a plane. For all x_12, x_12 will work. For all x_12, if x_12 takes a plane, then x_12 is cooking. There is at least one x_12 for which if x_12 cooks, then x_12 is drinking water. Can we infer the following from them? For all x_12, x_12 will work.
That is one of the premises. Therefore, the answer is yes.