Consider the following premises. For all x_14, if x_14 sleeps, then x_14 is not a cashier. For all x_14, x_14 is not sad. For all x_14, x_14 will sleep if and only if x_14 will listen to a song. For all x_14, x_14 is sad. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_14 for which x_14 will listen to a song.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.