Consider the following premises. For all x_14, x_14 is rich or x_14 will not take a plane. For all x_14, if x_14 were a poet, then x_14 is taking a plane. For all x_14, x_14 is a police officer or x_14 is not rich. For all x_14, x_14 is a poet. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_14 for which x_14 is not a police officer.
 From the fact that for all x_14, x_14 is rich or x_14 will not take a plane we can infer that for all x_14, if x_14 takes a plane, then x_14 is rich via universal rewriting. From the fact that for all x_14, if x_14 were a poet, then x_14 is taking a plane, and that for all x_14, x_14 is a poet we can infer that for all x_14, x_14 will take a plane via universal modus ponens. From the fact that for all x_14, x_14 is a police officer or x_14 is not rich we can infer that for all x_14, if x_14 were rich, then x_14 is a police officer via universal rewriting. From the fact that for all x_14, if x_14 takes a plane, then x_14 is rich, and that for all x_14, if x_14 were rich, then x_14 is a police officer we can infer that for all x_14, if x_14 takes a plane, then x_14 is a police officer via universal transitivity. Finally, from the fact that for all x_14, if x_14 takes a plane, then x_14 is a police officer, and that for all x_14, x_14 will take a plane we can infer that for all x_14, x_14 is a police officer via universal modus ponens, which contradicts that There is at least one x_14 for which x_14 is not a police officer. Therefore, the answer is no.