Consider the following premises. For all x_4, x_4 is not an electrician or x_4 is a doctor. For all x_4, x_4 is not a mechanic or x_4 will make tea. For all x_4, if x_4 were a doctor, then x_4 is reading a book. For all x_4, if x_4 makes tea, then x_4 is reading a book. For all x_4, x_4 is an electrician or x_4 is a mechanic. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_4 for which x_4 will not read a book.
 From the fact that for all x_4, x_4 is an electrician or x_4 is a mechanic, and that for all x_4, x_4 is not an electrician or x_4 is a doctor we can infer that for all x_4, x_4 is a mechanic or x_4 is a doctor via universal resolution. From the fact that for all x_4, x_4 is a mechanic or x_4 is a doctor, and that for all x_4, x_4 is not a mechanic or x_4 will make tea we can infer that for all x_4, x_4 is a doctor or x_4 will make tea via universal resolution. Finally, from the fact that for all x_4, if x_4 were a doctor, then x_4 is reading a book, that for all x_4, if x_4 makes tea, then x_4 is reading a book, and that for all x_4, x_4 is a doctor or x_4 will make tea we can infer that for all x_4, x_4 will read a book via universal disjunction elimination, which contradicts that There is at least one x_4 for which x_4 will not read a book. Therefore, the answer is no.