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: R_1(y) -> P(y). exists y: P(y) -> S(y). forall y: U(y) -> R_1(y). forall y: S(y) -> U(y).
forall y: U(y) -> P(y) can be inferred via the universal transitivity rule. forall y: S(y) -> R_1(y) can be inferred via the universal transitivity rule. exists y: P(y) -> U(y) can be inferred via the existential transitivity rule. exists y: R_1(y) -> S(y) can be inferred via the existential transitivity rule.