Consider the following premises. For all x_2, x_2 is a carpenter and x_2 is a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: Elisabeth is not a carpenter.
 From the fact that for all x_2, x_2 is a carpenter and x_2 is a taxi driver we can infer that Elisabeth is a carpenter and Elisabeth is a taxi driver via universal instantiation. Finally, from the fact that Elisabeth is a carpenter and Elisabeth is a taxi driver we can infer that Elisabeth is a carpenter via simplification, which contradicts that Elisabeth is not a carpenter. Therefore, the answer is no.