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: exists x_12: ~Q_8(x_12). forall x_12: S_3(x_12) <-> T_2(x_12). forall x_12: S_3(x_12) <-> Q_8(x_12).
forall x_12: S_3(x_12) -> T_2(x_12) can be inferred via the universal biconditional elimination rule. forall x_12: S_3(x_12) -> Q_8(x_12) can be inferred via the universal biconditional elimination rule. forall x_12: T_2(x_12) -> S_3(x_12) can be inferred via the universal biconditional elimination rule. forall x_12: Q_8(x_12) -> S_3(x_12) can be inferred via the universal biconditional elimination rule. exists x_12: ~S_3(x_12) can be inferred via the existential biconditional elimination rule.