Consider the following premises. Karen is not making tea or it is cloudy. If it is cloudy, then it is late. Charles is a carpenter if and only if it is late. It is not windy or Charles is a carpenter. It is windy or Karen is making tea. Can we infer the following from them? If we can, name the inference rule being used: It is not late.
 From the fact that Charles is a carpenter if and only if it is late we can infer that if Charles were a carpenter, then it is late via biconditional elimination. From the fact that it is windy or Karen is making tea, and that it is not windy or Charles is a carpenter we can infer that Karen is making tea or Charles is a carpenter via resolution. From the fact that Karen is making tea or Charles is a carpenter, and that Karen is not making tea or it is cloudy we can infer that Charles is a carpenter or it is cloudy via resolution. Finally, from the fact that if Charles were a carpenter, then it is late, that if it is cloudy, then it is late, and that Charles is a carpenter or it is cloudy we can infer that it is late via disjunction elimination, which contradicts that It is not late. Therefore, the answer is no.