Byzantine battle results are in:

20,000 vs Anatolia

10,000 of them Thematic.

GODS OF DICE SAY ANATOLIA HAS A STRENGTH OF: 

10,000 Professionals

Thematics go first: 

25% Losses (2,500)

Anatolia gets nutted in the face for 50% (5,000)

Then come the Kataphracts and their Tagma toy boys

15% losses (1,500)

Anatolia loses 30% (3000)

Byzantine Victory! Anatolia falls to the Empire. 

In conclusion:

Thema Trezbizond loses 2,500 Thematics, and 1,500 of its professional troops. Eastern Anatolia annexed successfully. Fairly smooth battle.