crystal, 107 bytes

Result

AC

Duration

5514ms

Code [DL]

a=`dd`.split.map &.to_i;p (0..8).map{|z|z/6*(a[z]-=a[9+z%3])*(a[s=3+-~z%3]*a[t=-~s%3]-a[t+3]*a[s-3])}.sum/6

stdin

96 02 25
63 29 76
97 52 06
66 74 03

stdout

14552

stderr

0+1 records in
0+1 records out
36 bytes copied, 7.8166e-05 s, 461 kB/s

strace