What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: There is at least one x_5 for which x_5 will listen to a song or x_5 will drive a car. For all x_5, x_5 is not a nurse. For all x_5, if x_5 works, then x_5 is a nurse. For all x_5, x_5 will work if and only if x_5 will listen to a song.
For all x_5, x_5 will not work can be inferred via the universal modus tollens rule. For all x_5, if x_5 works, then x_5 is listening to a song can be inferred via the universal biconditional elimination rule. For all x_5, if x_5 listens to a song, then x_5 is working can be inferred via the universal biconditional elimination rule.