Consider the following premises. For all x_10, if x_10 were a taxi driver, then x_10 is an artist. For all x_10, x_10 will go running if and only if x_10 is an artist. There is at least one x_10 for which if x_10 were an artist, then x_10 is running. For all x_10, if x_10 goes running, then x_10 is a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, if is not true that x_10 will go running if and only if x_10 is an artist.
That contradicts the premises. Therefore the answer is no.