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: exists z_1: R(z_1) -> T(z_1). forall z_1: Q_4(z_1) -> R(z_1). forall z_1: ~T(z_1). forall z_1: T(z_1) -> Q_4(z_1).
exists z_1: ~R(z_1) can be inferred via the existential modus tollens rule. forall z_1: T(z_1) -> R(z_1) can be inferred via the universal transitivity rule. exists z_1: R(z_1) -> Q_4(z_1) can be inferred via the existential transitivity rule. exists z_1: Q_4(z_1) -> T(z_1) can be inferred via the existential transitivity rule.