Consider the following premises. For all x_4, x_4 is a mechanic or x_4 is an artist. For all x_4, x_4 is not an artist. For all x_4, x_4 is not 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 make tea.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.