Consider the following premises. Barbara is fast or Mary is drinking water. Barbara is fast if and only if Jennifer is a taxi driver. Jennifer is a taxi driver or Mary is not drinking water. Can we infer the following from them? Jennifer is not a taxi driver.
 From the fact that Barbara is fast if and only if Jennifer is a taxi driver we can infer that if Barbara were fast, then Jennifer is a taxi driver. From the fact that Jennifer is a taxi driver or Mary is not drinking water we can infer that if Mary drinks water, then Jennifer is a taxi driver. Finally, from the fact that if Barbara were fast, then Jennifer is a taxi driver, that if Mary drinks water, then Jennifer is a taxi driver, and that Barbara is fast or Mary is drinking water we can infer that Jennifer is a taxi driver, which contradicts that Jennifer is not a taxi driver. Therefore, the answer is no.