Consider the following premises. Barbara is a poet if and only if Barbara is an artist. If Richard drinks water, then Jennifer is a carpenter. For all x_23, if x_23 were a nurse, then x_23 is a carpenter. For all x_28, x_28 is not an artist. Jennifer is a nurse or Richard is drinking water. Can we infer the following from them? If we can, name the inference rule being used: Jennifer is not a carpenter.
 From the fact that for all x_28, x_28 is not an artist we can infer that Barbara is not an artist via universal instantiation. From the fact that for all x_23, if x_23 were a nurse, then x_23 is a carpenter we can infer that if Jennifer were a nurse, then Jennifer is a carpenter via universal instantiation. Finally, from the fact that if Jennifer were a nurse, then Jennifer is a carpenter, that if Richard drinks water, then Jennifer is a carpenter, and that Jennifer is a nurse or Richard is drinking water we can infer that Jennifer is a carpenter via disjunction elimination, which contradicts that Jennifer is not a carpenter. Therefore, the answer is no.