What is it called when a criterion is true if either individual criterion is true?
a dream come true If a person has visions or dreams that consistently come true, that person might be called "a prophet," or said to be "psychic." Unfortunately, the great majority of those who claim to be prophets are either experiencing the hallucinations of mental illness, and called "delusional," or they are "con artists," cleverly cheating foolish people out of their money.
atman - is individual self with ego, and ignorance which unable to discriminate unreal to real. Atman is true Self (capital "S") and your true essence which is eternal and never changes. They are closely linked with the universe, cosmic consciousness or Brahman. Brahman is the unchanging, infinite, immanent, and absolute reality. The Brahman within the individual is called the Atman.
There is a tendency for everybody to think that their own religion or belief is the "true religion", or something like that. Jehova's Witnesses are not alone in this - others, too, will say that their's is the true religion - whatever their belief. This makes such claims quite useless as a criterion to determine which religion is the "true one" - you'll just have to research about different religions, and make up your own…
Yes, it is perfectly true that not all ideas are called beliefs. We make the distinction between beliefs, which may or may not be accurate, and facts, which are accurate. Of course, people are often mistaken when they classify a particular idea as being either a belief or a fact. Nonetheless, it remains a meaningful distinction.