Consider the following premises. For all x_2, if x_2 drinks water, then x_2 is playing a game. For all x_2, x_2 will play a game or x_2 is not a doctor. For all x_2, x_2 is a doctor or x_2 will drink water. Can we infer the following from them? For all x_2, x_2 will play a game.
 From the fact that for all x_2, x_2 will play a game or x_2 is not a doctor we can infer that for all x_2, if x_2 were a doctor, then x_2 is playing a game. Finally, from the fact that for all x_2, if x_2 were a doctor, then x_2 is playing a game, that for all x_2, if x_2 drinks water, then x_2 is playing a game, and that for all x_2, x_2 is a doctor or x_2 will drink water we can infer that for all x_2, x_2 will play a game. Therefore, the answer is yes.