@kirkus basically corresponding to
RegionDisjoint[Polygon[{{3, 0}, {1, 1}, {0, 3}}], BooleanRegion[(#1 && ! #2) || (#3 && ! #4) || (#5 && ! #6) &, {Line[{{x, y}, {3, 0}}], Point[{3, 0}], Line[{{x, y}, {1, 1}}], Point[{1, 1}], Line[{{x, y}, {0, 3}}], Point[{0, 3}]}]]