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: If it is cloudy, then James is playing tennis. For all x_11, if x_11 listens to a song, then x_11 is not a police officer. For all x_11, x_11 will play tennis if and only if x_11 will listen to a song. For all x_11, x_11 is a police officer.
For all x_11, x_11 will not listen to a song can be inferred via the universal modus tollens rule. For all x_11, if x_11 plays tennis, then x_11 is listening to a song can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 listens to a song, then x_11 is playing tennis can be inferred via the universal biconditional elimination rule.