Consider the following premises. For all x_2, if x_2 drinks water, then x_2 is running. For all x_2, if x_2 goes running, then x_2 is a soldier. There is at least one x_2 for which if x_2 were a soldier, then x_2 is a police officer. Can we infer the following from them? For all x_2, if x_2 drinks water, then x_2 is running.
That is one of the premises. Therefore, the answer is yes.