The diagram shows an elimination tournament amongst six teams, A-F. The winner of each game follows a blue line.
After the tournament, each team made a statement, as follows: A: We lost our first game, but to win the tournament, we would have had to win three games. B: We did not play A. C: We lost to D. D: We played B in our second game. E: We did not play C. F: We won our first game.