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_6: P_6(x_6) -> S(x_6). forall x_6: P_6(x_6). exists x_6: R_3(x_6) <-> S(x_6).
forall x_6: S(x_6) can be inferred via the universal modus ponens rule. exists x_6: R_3(x_6) -> S(x_6) can be inferred via the existential biconditional elimination rule. exists x_6: S(x_6) -> R_3(x_6) can be inferred via the existential biconditional elimination rule.