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 y: S_3(y) -> S_2(y). forall y: S_2(y) -> T(y). exists y: ~T(y). forall y: R(y) <-> S_2(y). forall y: T(y) -> S_3(y).
exists y: ~S_2(y) can be inferred via the existential modus tollens rule. forall y: S_3(y) -> T(y) can be inferred via the universal transitivity rule. forall y: S_2(y) -> S_3(y) can be inferred via the universal transitivity rule. forall y: T(y) -> S_2(y) can be inferred via the universal transitivity rule. forall y: R(y) -> S_2(y) can be inferred via the universal biconditional elimination rule. forall y: S_2(y) -> R(y) can be inferred via the universal biconditional elimination rule.