#Ruby, size 37, by Rodolvertice
puts 5423187690^2351479806^1523406978
I noticed that the code had exactly three of each digit 0-9, so I guessed the solution would be three numbers that were permutations of 1234567890. Rather than check all of those, I decided to start with numbers of the form 1234500000, xor them, and see if the first 13 bits were correct; if so, then I would fill in the last five digits of each number with a permutation of 67890 and check the final result. The Python 3 script I threw together found this solution within a few seconds.
