Consider the following premises. For all x_6, if x_6 were a doctor, then x_6 is not playing a game. For all x_6, x_6 is a doctor or x_6 will play squash. For all x_6, x_6 will play a game. Can we infer the following from them? For all x_6, if x_6 were a doctor, then x_6 is not playing a game.
That is one of the premises. Therefore, the answer is yes.