Consider the following premises. For all x_10, if x_10 were a carpenter, then x_10 is a taxi driver. For all x_10, x_10 is not a musician. There is at least one x_10 for which if x_10 were a taxi driver, then x_10 is a musician. For all x_10, if x_10 were a musician, then x_10 is a taxi driver. Can we infer the following from them? There is at least one x_10 for which x_10 is not a carpenter.
 From the fact that for all x_10, if x_10 were a musician, then x_10 is a taxi driver, and that there is at least one x_10 for which if x_10 were a taxi driver, then x_10 is a musician we can infer that there is at least one x_10 for which x_10 is a musician if and only if x_10 is a taxi driver. From the fact that there is at least one x_10 for which x_10 is a musician if and only if x_10 is a taxi driver, and that for all x_10, x_10 is not a musician we can infer that there is at least one x_10 for which x_10 is not a taxi driver. Finally, from the fact that for all x_10, if x_10 were a carpenter, then x_10 is a taxi driver, and that there is at least one x_10 for which x_10 is not a taxi driver we can infer that there is at least one x_10 for which x_10 is not a carpenter. Therefore, the answer is yes.