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: For all x_5, x_5 will not make tea. For all x_5, if x_5 writes a letter, then x_5 is a cashier. For all x_5, if x_5 were a writer, then x_5 is writing a letter. For all x_5, x_5 will make tea or x_5 is a writer.
For all x_5, if x_5 were a writer, then x_5 is a cashier can be inferred via the universal transitivity rule. For all x_5, x_5 is a writer can be inferred via the universal disjunctive syllogism rule.