The clash between the three families went on a full scale within no time. The third family head is also a proud man and he knew that he didn't do it. But since the other families are hell bent on accusing him, he didn't bother to convince them and decided to take that accusation to next level and started the battle.
Now that half of the family forces of the two families are down to nothing this is also the perfect timing for him to deal with them.
The only disadvantage is at the clash of the top. Two family heads versus one is going to be a bit troublesome. So, he decided to go into hiding and let the lower levels deal with the war. He has a great chance of winning.
Soon, the clash extended to all the common planets and there are invasions to not so common planets, and finally it even extended towards the maze.
By the time the family heads heard the news about the anomaly in the maze, they are already knee deep in the war.