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 not play a game. There is at least one x_6 for which if x_6 reads a book, then x_6 is working. For all x_6, if x_6 were a writer, then x_6 is reading a book. For all x_6, if x_6 works, then x_6 is playing a game.
For all x_6, x_6 will not work can be inferred via the universal modus tollens rule. There is at least one x_6 for which if x_6 reads a book, then x_6 is playing a game can be inferred via the existential transitivity rule. There is at least one x_6 for which if x_6 were a writer, then x_6 is working can be inferred via the existential transitivity rule.