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_11, x_11 will not read a book. For all x_11, if x_11 reads a book, then x_11 is sleeping. For all x_11, x_11 is fast or x_11 will make tea. For all x_11, if x_11 sleeps, then x_11 is fast. There is at least one x_11 for which if x_11 were fast, then x_11 is reading a book.
There is at least one x_11 for which x_11 is not fast can be inferred via the existential modus tollens rule. For all x_11, if x_11 reads a book, then x_11 is fast can be inferred via the universal transitivity rule. There is at least one x_11 for which if x_11 were fast, then x_11 is sleeping can be inferred via the existential transitivity rule. There is at least one x_11 for which if x_11 sleeps, then x_11 is reading a book can be inferred via the existential transitivity rule.