bonding conditionals go brrrr


5 ghost atoms are sent from the left chamber to the right chamber. Each test case uses only three of said ghost atoms. Whichever ghost atom ends up as the third real atom determines the case for how to output. 

Arm 5 is the mvp, as its repetitive motion in assembling the output leads to the symmetry that allows 1/3p. Title refers to the fact that there are so many conditionals that not even I, its author, is 100% sure how its able to work.