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: Joseph is a scientist or Mary is cooking. Joseph is not a scientist or it is late. If Mary cooks, then Robert is playing tennis. It is not cloudy. It is cloudy if and only if Robert is playing tennis.
Mary is cooking or it is late can be inferred via the resolution rule. If it is cloudy, then Robert is playing tennis can be inferred via the biconditional elimination rule. If Robert plays tennis, then it is cloudy can be inferred via the biconditional elimination rule. Robert is not playing tennis can be inferred via the biconditional elimination rule.