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: p_8 <-> r_2. p_1 and w. ~r_2.
p_1 can be inferred via the simplification rule. w can be inferred via the simplification rule. p_8 -> r_2 can be inferred via the biconditional elimination rule. r_2 -> p_8 can be inferred via the biconditional elimination rule. ~p_8 can be inferred via the biconditional elimination rule.