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 Michael takes a plane, then Joseph is drinking water. If James listens to a song, then Michael is taking a plane. If it snows, then James is listening to a song. If Joseph drinks water, then it is snowing.
If Michael takes a plane, then it is snowing can be inferred via the transitivity rule. If James listens to a song, then Joseph is drinking water can be inferred via the transitivity rule. If it snows, then Michael is taking a plane can be inferred via the transitivity rule. If Joseph drinks water, then James is listening to a song can be inferred via the transitivity rule.