Consider the following premises. For all x_8, x_8 will not drive a car or x_8 is a taxi driver. For all x_8, x_8 is not a scientist or x_8 is an electrician. For all x_8, x_8 will drive a car or x_8 is a scientist. For all x_8, if x_8 were a taxi driver, then x_8 is fast. For all x_8, if x_8 were an electrician, then x_8 is fast. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_8 for which neither x_8 is fast nor x_8 is a politician.
 From the fact that for all x_8, x_8 will drive a car or x_8 is a scientist, and that for all x_8, x_8 will not drive a car or x_8 is a taxi driver we can infer that for all x_8, x_8 is a scientist or x_8 is a taxi driver via universal resolution. From the fact that for all x_8, x_8 is a scientist or x_8 is a taxi driver, and that for all x_8, x_8 is not a scientist or x_8 is an electrician we can infer that for all x_8, x_8 is a taxi driver or x_8 is an electrician via universal resolution. From the fact that for all x_8, if x_8 were a taxi driver, then x_8 is fast, that for all x_8, if x_8 were an electrician, then x_8 is fast, and that for all x_8, x_8 is a taxi driver or x_8 is an electrician we can infer that for all x_8, x_8 is fast via universal disjunction elimination. Finally, from the fact that for all x_8, x_8 is fast we can infer that for all x_8, x_8 is fast or x_8 is a politician via universal addition, which contradicts that There is at least one x_8 for which neither x_8 is fast nor x_8 is a politician. Therefore, the answer is no.