Consider the following premises. For all x_5, if x_5 were sad, then x_5 is a taxi driver. For all x_5, if x_5 were rich, then x_5 is sad. There is at least one x_5 for which if x_5 drives a car, then x_5 is happy. For all x_5, if x_5 were happy, then x_5 is rich. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, the fact that x_5 drives a car does not imply that x_5 is a taxi driver.
That contradicts the premises. Therefore the answer is no.