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_9, if x_9 drinks water, then x_9 is taking a plane. For all x_9, if x_9 takes a plane, then x_9 is cooking. There is at least one x_9 for which x_9 will play a game. For all x_9, x_9 will drink water. For all x_9, if x_9 reads a book, then x_9 is taking a plane.
For all x_9, x_9 will take a plane can be inferred via the universal modus ponens rule. For all x_9, if x_9 drinks water, then x_9 is cooking can be inferred via the universal transitivity rule. For all x_9, if x_9 reads a book, then x_9 is cooking can be inferred via the universal transitivity rule. There is at least one x_9 for which x_9 will play a game and x_9 will drink water can be inferred via the existential conjunction rule. There is at least one x_9 for which x_9 will drink water and x_9 will play a game can be inferred via the existential conjunction rule.