Sorry for the late response, it took a while to dig through the AI and scripts.
So if you do 4 Ekimus, and let the stage fall (and nobody else will contribute to the final point count), then it won't count as 5th one.
Each Ekimus adds certain number of points that is stored in the database. Once the desired point count is reached, then SOI is switched to another state.
Each stage "fall" resets the point counter.