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(y) -> T(y). exists y: ~T(y). forall y: S(y) or ~T(y).
exists y: ~S(y) can be inferred via the existential modus tollens rule. forall y: T(y) -> S(y) can be inferred via the universal rewriting rule.