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Solve my base three numerical self-referential sentences puzzle!

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The object of this difficult puzzle is to make four sentences mutually truthful by filling in base three numbers.

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Title: Solve my base three numerical self-referential sentences puzzle!
Description:

The object of this difficult puzzle is to make four sentences mutually truthfull by filling in base three numbers.

Category Breakdown: Math - Three - Number - Puzzle - Base - Sentence

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