Consider the following premises. For all x_7, x_7 will sleep if and only if x_7 will play a game. For all x_7, x_7 will not take a plane. For all x_7, x_7 is a doctor if and only if x_7 will play a game. For all x_7, x_7 will take a plane if and only if x_7 will sleep. Can we infer the following from them? For all x_7, x_7 will not take a plane.
That is one of the premises. Therefore, the answer is yes.