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: It is overcast if and only if it is windy. It is sunny if and only if it is late. It is not windy. John is bored. If it is late, then John is not bored.
It is not late can be inferred via the modus tollens rule. It is not windy and John is bored can be inferred via the conjunction rule. John is bored and it is not windy can be inferred via the conjunction rule. If it is overcast, then it is windy can be inferred via the biconditional elimination rule. If it is sunny, then it is late can be inferred via the biconditional elimination rule. If it is windy, then it is overcast can be inferred via the biconditional elimination rule. If it is late, then it is sunny can be inferred via the biconditional elimination rule. It is not overcast can be inferred via the biconditional elimination rule.