Consider the following premises. Sarah is not cooking or Jessica is an artist. Sarah is cooking and John is playing squash. If it is sunny, then Linda is a scientist. If Jessica were an artist, then Linda is a scientist. Can we infer the following from them? Linda is a scientist.
 From the fact that Sarah is cooking and John is playing squash we can infer that Sarah is cooking. From the fact that Sarah is cooking we can infer that Sarah is cooking or it is sunny. From the fact that Sarah is cooking or it is sunny, and that Sarah is not cooking or Jessica is an artist we can infer that it is sunny or Jessica is an artist. Finally, from the fact that if it is sunny, then Linda is a scientist, that if Jessica were an artist, then Linda is a scientist, and that it is sunny or Jessica is an artist we can infer that Linda is a scientist. Therefore, the answer is yes.