Consider the following premises. For all x_11, x_11 is a doctor. There is at least one x_11 for which if x_11 were a doctor, then x_11 is playing a game. For all x_11, x_11 is not a taxi driver. For all x_11, x_11 is a taxi driver or x_11 will sleep. Can we infer the following from them? For all x_11, either x_11 will play a game or x_11 will sleep are not true.
 From the fact that for all x_11, x_11 is a taxi driver or x_11 will sleep, and that for all x_11, x_11 is not a taxi driver we can infer that for all x_11, x_11 will sleep. From the fact that there is at least one x_11 for which if x_11 were a doctor, then x_11 is playing a game, and that for all x_11, x_11 is a doctor we can infer that there is at least one x_11 for which x_11 will play a game. Finally, from the fact that there is at least one x_11 for which x_11 will play a game, and that for all x_11, x_11 will sleep we can infer that there is at least one x_11 for which x_11 will play a game and x_11 will sleep, which contradicts that For all x_11, either x_11 will play a game or x_11 will sleep are not true. Therefore, the answer is no.