Consider the following premises. Thomas is a doctor if and only if Susan is a nurse. Susan is not a nurse. For all x_10, x_10 will not work or x_10 will play squash. For all x_10, x_10 will work or x_10 is a doctor. Can we infer the following from them? For all x_10, x_10 will work or x_10 is a doctor.
That is one of the premises. Therefore, the answer is yes.