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 James were a server, then Elisabeth is climbing a mountain. It is late or James is a server. If it is late, then Elisabeth is climbing a mountain. Elisabeth is a cashier or Elisabeth is not climbing a mountain.
If Elisabeth climbs a mountain, then Elisabeth is a cashier can be inferred via the rewriting rule. Elisabeth is climbing a mountain can be inferred via the disjunction elimination rule.