Petals Around the Rose: Fraternity Register

The only way to truly solve this puzzle is to look at the source code. Even then there is the possibility that the machine (be it virtual or real) may make a "mistake".

Anyone who says that they have got it right after the first roll obviously does not understand much about proof.

On one level you can get the answer but is this answer truly correct? What proof do you have that this answer always works?