Consider the following premises. For all x_11, x_11 will play squash or x_11 is poor. For all x_11, x_11 will not play squash. There is at least one x_11 for which if x_11 were poor, then x_11 is making tea. For all x_11, if x_11 were a doctor, then x_11 is not making tea. Can we infer the following from them? There is at least one x_11 for which x_11 is not a doctor.
 From the fact that for all x_11, x_11 will play squash or x_11 is poor, and that for all x_11, x_11 will not play squash we can infer that for all x_11, x_11 is poor. From the fact that there is at least one x_11 for which if x_11 were poor, then x_11 is making tea, and that for all x_11, x_11 is poor we can infer that there is at least one x_11 for which x_11 will make tea. Finally, from the fact that for all x_11, if x_11 were a doctor, then x_11 is not making tea, and that there is at least one x_11 for which x_11 will make tea we can infer that there is at least one x_11 for which x_11 is not a doctor. Therefore, the answer is yes.