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_5, if x_5 reads a book, then x_5 is a writer. For all x_5, x_5 will read a book or x_5 will not play a game. For all x_5, if x_5 were a writer, then x_5 is playing a game.
For all x_5, if x_5 reads a book, then x_5 is playing a game can be inferred via the universal transitivity rule. For all x_5, if x_5 plays a game, then x_5 is reading a book can be inferred via the universal rewriting rule.