Consider the following premises. For all x_6, if x_6 were a carpenter, then x_6 is working. For all x_6, x_6 is not an electrician or x_6 will listen to a song. For all x_6, x_6 is an electrician or x_6 will make tea. For all x_6, if x_6 listens to a song, then x_6 is a carpenter. For all x_6, if x_6 makes tea, then x_6 is working. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, x_6 will work.
 From the fact that for all x_6, x_6 is an electrician or x_6 will make tea, and that for all x_6, x_6 is not an electrician or x_6 will listen to a song we can infer that for all x_6, x_6 will make tea or x_6 will listen to a song via universal resolution. From the fact that for all x_6, if x_6 listens to a song, then x_6 is a carpenter, and that for all x_6, if x_6 were a carpenter, then x_6 is working we can infer that for all x_6, if x_6 listens to a song, then x_6 is working via universal transitivity. Finally, from the fact that for all x_6, if x_6 makes tea, then x_6 is working, that for all x_6, if x_6 listens to a song, then x_6 is working, and that for all x_6, x_6 will make tea or x_6 will listen to a song we can infer that for all x_6, x_6 will work via universal disjunction elimination. Therefore, the answer is yes.