Consider the following premises. For all x_6, if x_6 were a police officer, then x_6 is playing a game. For all x_6, if x_6 were a scientist, then x_6 is playing a game. For all x_6, x_6 is not a taxi driver or x_6 is a scientist. There is at least one x_6 for which x_6 is an electrician. For all x_6, x_6 is a taxi driver or x_6 is a police officer. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_6 for which x_6 will play a game and x_6 is an electrician.
 From the fact that for all x_6, x_6 is a taxi driver or x_6 is a police officer, and that for all x_6, x_6 is not a taxi driver or x_6 is a scientist we can infer that for all x_6, x_6 is a police officer or x_6 is a scientist via universal resolution. From the fact that for all x_6, if x_6 were a police officer, then x_6 is playing a game, that for all x_6, if x_6 were a scientist, then x_6 is playing a game, and that for all x_6, x_6 is a police officer or x_6 is a scientist we can infer that for all x_6, x_6 will play a game via universal disjunction elimination. Finally, from the fact that for all x_6, x_6 will play a game, and that there is at least one x_6 for which x_6 is an electrician we can infer that there is at least one x_6 for which x_6 will play a game and x_6 is an electrician via existential conjunction. Therefore, the answer is yes.