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: Patricia is playing tennis or Barbara is not playing a game. Michael is not a soldier. Patricia is playing tennis if and only if Michael is a soldier.
If Barbara plays a game, then Patricia is playing tennis can be inferred via the rewriting rule. If Patricia plays tennis, then Michael is a soldier can be inferred via the biconditional elimination rule. If Michael were a soldier, then Patricia is playing tennis can be inferred via the biconditional elimination rule. Patricia is not playing tennis can be inferred via the biconditional elimination rule.