The movie was originally two hours long and had two songs by RE-FLEX (Fishman's band who did POLITICS OF DANCING). The press notes for the movie list the two RE-FLEX songs (LIFE'S TOO DANGEROUS and REVOLUTION NOW) in it's complete credit listing for the movie. However, the movie was cut to 90 minutes for theatrical release, and the credit for RE-FLEX was changed to ADDITIONAL SOURCE MUSIC BY PAUL FISHMAN.
This clip above is clearly a RE-FLEX instrumental (it's the only synthpop in SUPERMAN IV)!! I wonder why Fishman got all the credit and why Re-Flex's name was removed (as well as the song titles).