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 it is cold, then Richard is a scientist. It is overcast if and only if Jennifer is bored. It is cold. Jennifer is not bored.
Richard is a scientist can be inferred via the modus ponens rule. It is cold and Jennifer is not bored can be inferred via the conjunction rule. Jennifer is not bored and it is cold can be inferred via the conjunction rule. If it is overcast, then Jennifer is bored can be inferred via the biconditional elimination rule. If Jennifer were bored, then it is overcast can be inferred via the biconditional elimination rule. It is not overcast can be inferred via the biconditional elimination rule.