Consider the following premises. There is at least one x_14 for which x_14 will make tea or x_14 will write a letter. For all x_14, x_14 is a poet. For all x_14, x_14 will go running. For all x_14, if x_14 makes tea, then x_14 is a doctor. For all x_14, if x_14 writes a letter, then x_14 is a doctor. Can we infer the following from them? Some doctors will go running.
 From the fact that for all x_14, if x_14 makes tea, then x_14 is a doctor, that for all x_14, if x_14 writes a letter, then x_14 is a doctor, and that there is at least one x_14 for which x_14 will make tea or x_14 will write a letter we can infer that there is at least one x_14 for which x_14 is a doctor. From the fact that for all x_14, x_14 will go running, and that for all x_14, x_14 is a poet we can infer that for all x_14, x_14 will go running and x_14 is a poet. From the fact that for all x_14, x_14 will go running and x_14 is a poet we can infer that for all x_14, x_14 will go running. Finally, from the fact that there is at least one x_14 for which x_14 is a doctor, and that for all x_14, x_14 will go running we can infer that some doctors will go running. Therefore, the answer is yes.