rust, 255 bytes

Result

AC

Duration

949ms

Code [DL]

use std::io::*;fn main(){let mut b="".into();stdin().read_to_string(&mut b);let a:Vec<i32>=b.split_whitespace().map(|e|e.parse().unwrap()).collect();print!("{}",(0..24).fold(0,|s,i|s-(a[i/2]*a[8-i/12*6-i%3]*a[(i/6+1&2)*3+(i+3)/2%3+3]^-(i as i32%2)))/6-2)}

stdin

82 63 12
35 83 71
20 05 13
05 23 96

stdout

35425

stderr

warning: unused `std::result::Result` which must be used
 --> /tmp/code.rs:1:46
  |
1 | use std::io::*;fn main(){let mut b="".into();stdin().read_to_string(&mut b);let a:Vec<i32>=b.split_whitespace().map(|e|e.parse().unwrap()).collect();print!("{}",(0..24).fold(0,|s,i|s-(a[i/2]*a[8-i/12*6-i%3]*a[(i/6+1&2)*3+(i+3)/2%3+3]^-(i as i32%2)))/6-2)}
  |                                              ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  |
  = note: #[warn(unused_must_use)] on by default

strace