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If blue box had a true statement, black would have to be false, therefore it's on the black box.
If blue box has a false statement, it couldn't be either in the blue or the black box, even though the black box would say it is in the blue box, so it can't be false.
So the blue box is telling the truth, and the black box is lying. So the gems aren't in the blue box (Because black lies), and the gems are in a box with the word "blue" (so either blue or black).
I've never seen that to be the case, and isn't the issue in this puzzle.
"The gems are in *all* boxes that contain the word "Blue" in their statement"
it is only saying the gems are in one of the boxes with blue in the statement.
the negation of the statement is then
"It is false that the gems are in a box that contain the word "Blue" in their statement"
which means it would be in the white box (which contradicts black saying its in the blue box at the same time)