Truth does not need to be sought or proved. Everything is the truth. Take whatever you want, it will be the truth. Of interest is the proof that two entities that seem incompatible and different are actually exactly the same.
The problem with any dispute is that one of the parties (or both) focus on proving the opposite point of view false. Ideally, it would be sufficient for each side to focus on proving its own point of view.
"I don't believe you," the man says... and they try to prove the truth to him. "I believe you," and a person is told a lie, but miraculously that lie tries to be true. Faith is love, and love is a form of truth, the content of which may well be the illusion of a lie.
The truth is true even if it has no proof. A lie is false, even if it's proven. The evidence does not make the truth true or false. However, the lie does not change its essence because if she has proof or not.