In the 3 statements you've shown, statement #3 is definitely false, as you have already mentioned.
To clarify, I really meant if there were some state between true and false that could make these consistent.
No, statements #1 and #2 are inconsistent statements, they contradict each other.
Actually, since there's no discrepancy that statement #3 is false, it is a bit of a red herring, irrelevant. Alternately, statement #3 can be omitted and statement #1 and #2 can be re-written as:
1) Statement 2 is true.
2) Statement 1 is false.
The next statement is true.
The previous statement is false.
If you are looking for a word or phrase to describe the relationship of the statements, I would say the statements are "paradoxical".
You can also use the term: non sequitur.
noun: non sequitur; plural noun: non sequiturs; noun: nonsequitur; plural noun: nonsequiturs
a conclusion or statement that does not logically follow from the previous argument or statement.