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_16: S_4(x_16) <-> Q_12(x_16). exists x_16: U(x_16) <-> R_3(x_16). forall x_16: S_4(x_16) <-> R(x_16). forall x_16: ~Q_12(x_16). forall x_16: R(x_16) <-> R_3(x_16).
forall x_16: S_4(x_16) -> Q_12(x_16) can be inferred via the universal biconditional elimination rule. forall x_16: S_4(x_16) -> R(x_16) can be inferred via the universal biconditional elimination rule. forall x_16: R(x_16) -> R_3(x_16) can be inferred via the universal biconditional elimination rule. exists x_16: U(x_16) -> R_3(x_16) can be inferred via the existential biconditional elimination rule. forall x_16: Q_12(x_16) -> S_4(x_16) can be inferred via the universal biconditional elimination rule. forall x_16: R(x_16) -> S_4(x_16) can be inferred via the universal biconditional elimination rule. forall x_16: R_3(x_16) -> R(x_16) can be inferred via the universal biconditional elimination rule. exists x_16: R_3(x_16) -> U(x_16) can be inferred via the existential biconditional elimination rule. forall x_16: ~S_4(x_16) can be inferred via the universal biconditional elimination rule.