Logical Decoding

You are given four results as below:
1111 = F
2222 = E
3333 = T
Then, can you find out how to code 4444?




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=====
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Amazing Facts

No Solution

In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki