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: ~Q_11(x_12). forall x_12: R(x_12) -> Q_11(x_12). exists x_12: Q_11(x_12) -> R(x_12). forall x_12: R(x_12) -> Q_12(x_12). forall x_12: Q_12(x_12) -> T(x_12). forall x_12: T(x_12) -> R(x_12).
forall x_12: ~R(x_12) can be inferred via the universal modus tollens rule. forall x_12: R(x_12) -> T(x_12) can be inferred via the universal transitivity rule. forall x_12: Q_12(x_12) -> R(x_12) can be inferred via the universal transitivity rule. forall x_12: T(x_12) -> Q_11(x_12) can be inferred via the universal transitivity rule. forall x_12: T(x_12) -> Q_12(x_12) can be inferred via the universal transitivity rule. exists x_12: Q_11(x_12) -> Q_12(x_12) can be inferred via the existential transitivity rule. exists x_12: Q_11(x_12) <-> R(x_12) can be inferred via the existential biconditional introduction rule. exists x_12: R(x_12) <-> Q_11(x_12) can be inferred via the existential biconditional introduction rule.