Yes. Here's the list of postulates:

Blitzen < Dancer.
Blitzen < Donder,
Blitzen < Vixen and
Blitzen > Cupid
Comet > Prancer
Comet > Cupid.
Comet > Rudolph,
Cupid < Blitzen
Cupid < Comet,
Cupid < Dancer.
Cupid < Rudolph
Cupid < Vixen.
Dancer > Blitzen.
Dancer > Donder,
Dancer > Rudolph
Dasher < Blitzen.
Dasher < Dancer
Dasher < Vixen,
Dasher > Prancer
Donder > Comet
Donder > Cupid.
Donder > Vixen,
Donder >Dasher
Donder >Prancer.
Prancer < Blitzen.
Prancer < Cupid,
Prancer < Donder
Rudolph < Dancer and
Rudolph < Dasher.
Rudolph < Donder,
Rudolph > Prancer
Vixen < Comet.
Vixen < Dancer
Vixen > Dasher.
Vixen > Prancer   
Vixen > Rudolph,
(Front end of series is 1, sleigh end is 9)

There's a start.


A