Teachme2play: Yea, but what if, the turn before you say 5 fives opponent catches you lying f.e "4 fours"?

According to your annotated example game, you don't consider that to be good tactics. Note that in said game, B, not knowing what A has, doesn't call LIAR on either A's "four threes", nor on A's "four sixes".

Or he discoveres your plan and plays 5 fives before you? Excellent. So, we agree that the game just might have started by the first player playing "5 fives". No point going through the motions first (going through the motions is ok for a "live game" - it's deadly for a turn based web game).