Menes could not wrote the statement in the red bottle
Because that mean the puzzle would locked.
50% Yellow bottle is cure
50% Blue bottle is cure
So The statement in RED Bottle wrote by Nil
in this case it's true
that's mean the Yellow Bottle is not the cure. (Written by Menes = F)
the Blue bottle is not the cute. (Written by Menes = F)
The cure is in the Red Bottle.
The solve is The Red Bottle.