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. p_1 -> w. p_8 <-> w. p -> p_1.
p -> w can be inferred via the transitivity rule. p_8 -> w can be inferred via the biconditional elimination rule. w -> p_8 can be inferred via the biconditional elimination rule. ~w can be inferred via the biconditional elimination rule.