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If 1 is true, then 2 is true, but then 3 must either true and false. Meaning 1 is false .
Since 1 is false, 3 is false .
If 6 is true, then 1, 2, 3 and 4 are false, meaning 5 is true. But that contradicts 6, meaning 6 is false .
If 4 is true, then 1, 2 or 3 is true. But since 1 and 3 are false, 2 must be true meaning 4 is false, contradiction. 4 is false
Since 4 is false, then 2 is false .
Since 1, 2, 3 and 4 are false - 5 is true