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 works, then y is a police officer. For all y, if y were a police officer, then y is sleeping. For all y, if y sleeps, then y is playing squash. For all y, if y plays squash, then y is working.
For all y, if y works, then y is sleeping can be inferred via the universal transitivity rule. For all y, if y were a police officer, then y is playing squash can be inferred via the universal transitivity rule. For all y, if y sleeps, then y is working can be inferred via the universal transitivity rule. For all y, if y plays squash, then y is a police officer can be inferred via the universal transitivity rule.