Consider the following premises. It is not cloudy or it is cold. It is cloudy or Charles is an office clerk. For all y_2, y_2 will cook. If it is cold, then Jessica is sad. If Charles were an office clerk, then Jessica is sad. Can we infer the following from them? Jessica is not sad.
 From the fact that it is cloudy or Charles is an office clerk, and that it is not cloudy or it is cold we can infer that Charles is an office clerk or it is cold. Finally, from the fact that if Charles were an office clerk, then Jessica is sad, that if it is cold, then Jessica is sad, and that Charles is an office clerk or it is cold we can infer that Jessica is sad, which contradicts that Jessica is not sad. Therefore, the answer is no.