Consider the following premises. For all x_13, if x_13 were an electrician, then x_13 is taking a plane. For all x_13, x_13 will go running or x_13 is an electrician. For all x_13, if x_13 goes running, then x_13 is taking a plane. William is writing a letter. Can we infer the following from them? For all x_13, if x_13 were an electrician, then x_13 is taking a plane.
That is one of the premises. Therefore, the answer is yes.