What an interesting puzzle.
I would place each identifier on the same line as the top line of the problem. Then I would simply follow print alignment, using appropriate Nemeth spacing rules:
The logical sum symbol is an operation symbol so it is unspaced. NC 20.5
The tilde meaning "not" is also an operation symbol so it is unspaced. NC 20.9
The therefore symbol should be spaced. NC 23.18
I think the word "invalid" reads better if it is put on the same line as each 'therefore' answer. Use the single-word switch.
Please note, if you are using the Nemeth lesson manual as a resource, the first edition is obsolete. The second edition is available for downloading at https://nfb.org/programs-services/braille-certification/mathematics-braille-transcribing
Lindy