To give another example for this proposed system, I redid this years Einstein matches in this format. I had to cut two alliances (Sorry Archimedes and Carson, I still love you!), but I made some reasonable predictions so that the finals rounds would still be the same. The quarter finals are the same schedule as the Tri-Finals.
Code:
Blue Red
TF1 Newton Hopper
TF2 Galileo Tesla
TF3 Curie Carver
TF1 M2 Newton Hopper
TF2 M2 Galileo Tesla
TF3 M2 Curie Carver
TF3 M3 Curie Carver
SM1 Hopper Tesla
SM2 Carver Tesla
SM1 M2 Hopper Tesla
SM2 M2 Carver Tesla
SM2 M3 Carver Tesla
SM3 Hopper Carver
SM3 M2 Hopper Carver
SM3 M3 Hopper Carver
F1 Tesla Carver
F2 Tesla Carver
F3 Tesla Carver