Consider the following premises. Sarah is listening to a song or Jessica is not a bartender. Joseph is not drinking water. If Sarah listens to a song, then Joseph is drinking water. If Joseph drinks water, then Sarah is listening to a song. Can we infer the following from them? Jessica is a bartender.
 From the fact that if Joseph drinks water, then Sarah is listening to a song, and that if Sarah listens to a song, then Joseph is drinking water we can infer that Joseph is drinking water if and only if Sarah is listening to a song. From the fact that Sarah is listening to a song or Jessica is not a bartender we can infer that if Jessica were a bartender, then Sarah is listening to a song. From the fact that Joseph is drinking water if and only if Sarah is listening to a song we can infer that if Sarah listens to a song, then Joseph is drinking water. From the fact that if Jessica were a bartender, then Sarah is listening to a song, and that if Sarah listens to a song, then Joseph is drinking water we can infer that if Jessica were a bartender, then Joseph is drinking water. Finally, from the fact that if Jessica were a bartender, then Joseph is drinking water, and that Joseph is not drinking water we can infer that Jessica is not a bartender, which contradicts that Jessica is a bartender. Therefore, the answer is no.