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_3, if x_3 makes tea, then x_3 is playing tennis. There is at least one x_3 for which if x_3 drinks water, then x_3 is making tea. For all x_3, if x_3 plays tennis, then x_3 is drinking water.
For all x_3, if x_3 makes tea, then x_3 is drinking water can be inferred via the universal transitivity rule. There is at least one x_3 for which if x_3 drinks water, then x_3 is playing tennis can be inferred via the existential transitivity rule. There is at least one x_3 for which if x_3 plays tennis, then x_3 is making tea can be inferred via the existential transitivity rule.