A plays B twice.
IF ONE PLAYER WINS BOTH (say A), A plays C twice
   IF A WINS BOTH, C plays C, and winner plays A 5 times and needs to win 4
   IF THEY SPLIT, A plays C twice more
      IF A WINS BOTH, C plays C, and winner plays A 3 times and needs to win all 3
      IF THEY SPLIT, A plays C 4 more times (A wins ties)
      IF C WINS BOTH, A plays C again
         IF A WINS, A plays C best-of-3
         IF C WINS, C plays B 3 times, and B needs to win all 3
   IF C WINS BOTH, A plays C again
      IF A WINS, A plays C again
         IF A WINS, A plays C 4 times (A wins ties)
         IF C WINS, A plays B
            IF A WINS, A plays C best-of-3
            IF C WINS, C plays B 3 times, and B needs to win all 3
      IF C WINS, A plays C
         IF A WINS, A plays C 4 times, and A needs to win all 4
         IF B WINS, C plays B 4 times (C wins ties)
IF THEY SPLIT, A plays B twice again.  
   IF ONE PLAYER WINS BOTH (say A), A plays C twice
      IF A WINS BOTH, C plays C, and winner plays A 3 times and needs to win all 3
      IF THEY SPLIT, A plays C 4 times (A wins ties)
      IF C WINS BOTH, A plays C again
         IF A WINS, A plays C best-of-3
         IF C WINS, C plays B 3 times, and B needs to win all 3
   IF THEY SPLIT, A plays B again (say A wins).  A plays C twice
      IF A WINS BOTH, A plays B 3 times, and B needs to win all 3
      IF THEY SPLIT, A plays C best-of-3
      IF C WINS BOTH, A plays C, and winner plays C twice (C wins ties)