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_6, x_6 will read a book or x_6 will listen to a song. For all x_6, x_6 will play a game or x_6 will not read a book. There is at least one x_6 for which if x_6 plays a game, then x_6 is playing tennis. For all x_6, if x_6 listens to a song, then x_6 is playing a game.
There is at least one x_6 for which if x_6 listens to a song, then x_6 is playing tennis can be inferred via the existential transitivity rule. For all x_6, if x_6 reads a book, then x_6 is playing a game can be inferred via the universal rewriting rule.