Consider the following premises. For all x_4, x_4 is a poet. For all x_4, if x_4 goes running, then x_4 is a cashier. For all x_4, x_4 is a doctor or x_4 will go running. For all x_4, if x_4 were a doctor, then x_4 is a cashier. Can we infer the following from them? If we can, name the inference rule being used: For all x_4, x_4 is a poet.
That is one of the premises. Therefore, the answer is yes.