In this paper, we analyze how stream monotonicity classification can be adopted for the introduced developed model, which processes both temporal and negative events. As we show, information about stream monotonicity can be easily used to optimize individual stream operators as well as a full query plan. Comparing our stream engine with such engines as CEDR, STREAM and PIPES we demonstrate how a primary key constraint can be used in different types of the developed stream schemes. We implemented all of the above techniques in StreamAPAS.