LOGIC DOES NOT ALWAYS OBTAIN WITH MAN
In the human context, logic does not always obtain.
Just because A beats B and B beats C does not necessarily mean that A can defeat C, for example.
Recently, Detroit beat KC routinely in their division, but Baltimore beat Detroit. Yet, KC swept Baltimore in the playoffs, even more recently, to win the pennant and to play in the Word Series as AL champions versus SF Giants.
In the human context, logic does not always obtain.