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: forall x_12: P_12(x_12) <-> U(x_12). forall x_12: ~P_12(x_12). forall x_12: U(x_12) <-> S_3(x_12). S_3(d) <-> p.
S_3(d) -> p can be inferred via the biconditional elimination rule. p -> S_3(d) can be inferred via the biconditional elimination rule. forall x_12: P_12(x_12) -> U(x_12) can be inferred via the universal biconditional elimination rule. forall x_12: U(x_12) -> S_3(x_12) can be inferred via the universal biconditional elimination rule. forall x_12: U(x_12) -> P_12(x_12) can be inferred via the universal biconditional elimination rule. forall x_12: S_3(x_12) -> U(x_12) can be inferred via the universal biconditional elimination rule. forall x_12: ~U(x_12) can be inferred via the universal biconditional elimination rule.