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: If Karen were an astronaut, then Michael is playing squash. If Michael plays squash, then James is a nurse. If James were a nurse, then Jennifer is poor. If Jennifer were poor, then Karen is an astronaut.
If Karen were an astronaut, then James is a nurse can be inferred via the transitivity rule. If Michael plays squash, then Jennifer is poor can be inferred via the transitivity rule. If James were a nurse, then Karen is an astronaut can be inferred via the transitivity rule. If Jennifer were poor, then Michael is playing squash can be inferred via the transitivity rule.