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 y, if y plays tennis, then y is reading a book. For all y, if y works, then y is sleeping. There is at least one y for which if y reads a book, then y is working. For all y, if y sleeps, then y is playing tennis.
For all y, if y works, then y is playing tennis can be inferred via the universal transitivity rule. For all y, if y sleeps, then y is reading a book can be inferred via the universal transitivity rule. There is at least one y for which if y reads a book, then y is sleeping can be inferred via the existential transitivity rule. There is at least one y for which if y plays tennis, then y is working can be inferred via the existential transitivity rule.