{"id":"two-out-of-three-set-algebra","text":"The Two Out of Three solution expresses \"appears in >= 2 of 3 arrays\" as the union of all pairwise set intersections: `(s1 & s2) | (s1 & s3) | (s2 & s3)`.","truth_value":"IN","source":"entries/2026/06/06/two-out-of-three-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":["set-for-o1-membership-universal"],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"two-out-of-three-set-algebra","truth_value":"IN","reason":"premise"}]}}