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 an electrician if and only if James is cooking. If James cooks, then Sarah is not a soldier. Sarah is a soldier. If it is overcast, then it is late. It is overcast.
It is late can be inferred via the modus ponens rule. James is not cooking can be inferred via the modus tollens rule. Sarah is a soldier and it is overcast can be inferred via the conjunction rule. It is overcast and Sarah is a soldier can be inferred via the conjunction rule. If Patricia were an electrician, then James is cooking can be inferred via the biconditional elimination rule. If James cooks, then Patricia is an electrician can be inferred via the biconditional elimination rule.