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_10, if x_10 drinks water, then x_10 is a janitor. For all x_10, x_10 will play squash. For all x_10, if x_10 were a doctor, then x_10 is not an office clerk. For all x_10, x_10 will drink water. For all x_10, if x_10 were a janitor, then x_10 is an office clerk.
For all x_10, x_10 is a janitor can be inferred via the universal modus ponens rule. For all x_10, if x_10 drinks water, then x_10 is an office clerk can be inferred via the universal transitivity rule. For all x_10, x_10 will play squash and x_10 will drink water can be inferred via the universal conjunction rule. For all x_10, x_10 will drink water and x_10 will play squash can be inferred via the universal conjunction rule.