Consider the following premises. Patricia is an artist or Jessica is not a politician. Jessica is not a politician. Jessica is a politician if and only if Patricia is an artist. If it is late, then Patricia is an artist. Can we infer the following from them? It is not late.
 From the fact that Patricia is an artist or Jessica is not a politician we can infer that if Jessica were a politician, then Patricia is an artist. From the fact that Jessica is a politician if and only if Patricia is an artist we can infer that if Patricia were an artist, then Jessica is a politician. From the fact that if Jessica were a politician, then Patricia is an artist, and that if Patricia were an artist, then Jessica is a politician we can infer that Jessica is a politician if and only if Patricia is an artist. From the fact that Jessica is a politician if and only if Patricia is an artist, and that Jessica is not a politician we can infer that Patricia is not an artist. Finally, from the fact that if it is late, then Patricia is an artist, and that Patricia is not an artist we can infer that it is not late. Therefore, the answer is yes.