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_2, if x_2 drinks water, then x_2 is listening to a song. For all x_2, x_2 will not listen to a song. For all x_2, x_2 will play tennis or x_2 will not drink water. For all x_2, if x_2 plays tennis, then x_2 is drinking water.
For all x_2, x_2 will not drink water can be inferred via the universal modus tollens rule. For all x_2, if x_2 plays tennis, then x_2 is listening to a song can be inferred via the universal transitivity rule. For all x_2, if x_2 drinks water, then x_2 is playing tennis can be inferred via the universal rewriting rule.