  k  random 2k facts   debate  fabricating liar
  1           0.5964   0.7538            0.0732
  2           0.6407   0.8031            0.0522
  3           0.6783   0.8391            0.0476
  5           0.7420   0.8953            0.0520
  8           0.8387   0.9569            0.0725
 11           1.0000   0.9954            0.0917

dominance check: among all C(4,2) = 6 choices of two positive facts, the top-2 by weight maximizes the revealed positive weight
