"Murder by Numbers" is from the Synchronicity compact disc.
It is indeed on the CD.
I am pretty sure it was on the vinyl album I had. I am kind of elephant memory on these things - at least when it comes to music. However it was 1983 (a long time ago) and about 50% of all the Vinyl I ever bought were Japanese pressings (a lot of the rest was 12" 45's that always sounded better than LP's). I'll be honest but regular pressings were to put it mildly mostly crap!
Is it possible I had the Japanese pressing which was different?
Unfortunately, my Vinyl is in storage in my parents basement somewhere half way across the country so I can't confirm this but I remember playing it on Vinyl before CD came out.