Transposition Tables: SABER RATTLING

How would one go from SOBER to SABER?
Using matrix algebra a problem like this is probably trivial. But could a formula be generated from the transposition table deductively?

 SO BER
S00 0 
A014000
B00 000
E00 000
R00 000

how would we transpose from SABER RATTLING to SOBER BATTLING?

S A  BER R  ATTLING
0 14 000 16 0000000
S O  BER B  ATTLING

A R  O B
1 23 3 25 A W C Y
B O  R A

Solution: Tora Bora

Next time: WHERE DO CORRECT IDEAS COME FROM