Not sure what you're trying to say with that expression, but you probably didn't say what you meant.
(a != n) AND (a != i) means that both terms are true, and unbound variables are conventionally treated as universally quantified, so you're saying that no atheists are anarchists and no atheists are indifferent. It'd be nice if that were true (it'd be nice if it were true of any group), but it's unrealistic.
Few people who take a strong atheist stance seem to be indifferent, but there are quite a few who have anarchist leanings. For a proper notion of "anarchist", anyway.

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RE: Question?
a code that is not based on religiosity, (or atheism for that matter) but rather, a balance of rationale and compassion for all manner of human being
Perhaps you didn't mean this ... or maybe you did ... but (atheism != anarchy) AND (atheism != indifference) evaluates to true.
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