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: w -> p_5. p_5 <-> w. p. w -> ~p.
~w can be inferred via the modus tollens rule. p_5 -> w can be inferred via the biconditional elimination rule. w -> p_5 can be inferred via the biconditional elimination rule.