Consider the following premises. For all x_16, x_16 is poor or x_16 is a police officer. Patricia is curious if and only if Elisabeth is a police officer. If Patricia were curious, then it is late. Elisabeth is not poor or Patricia is making tea. If Patricia makes tea, then it is late. Can we infer the following from them? If we can, name the inference rule being used: It is not late.
 From the fact that for all x_16, x_16 is poor or x_16 is a police officer we can infer that Elisabeth is poor or Elisabeth is a police officer via universal instantiation. From the fact that Elisabeth is poor or Elisabeth is a police officer, and that Elisabeth is not poor or Patricia is making tea we can infer that Elisabeth is a police officer or Patricia is making tea via resolution. From the fact that Patricia is curious if and only if Elisabeth is a police officer we can infer that if Elisabeth were a police officer, then Patricia is curious via biconditional elimination. From the fact that if Elisabeth were a police officer, then Patricia is curious, and that if Patricia were curious, then it is late we can infer that if Elisabeth were a police officer, then it is late via transitivity. Finally, from the fact that if Elisabeth were a police officer, then it is late, that if Patricia makes tea, then it is late, and that Elisabeth is a police officer or Patricia is making tea we can infer that it is late via disjunction elimination, which contradicts that It is not late. Therefore, the answer is no.