A truth-claim may be true, along a series of levels and sets, or it may be true for some situations and not for others, or it may be false. A lie is an intent to deceive, whether consciously or otherwise.
Truth has, truths have, a context; in the context of God, Truth is absolute, revealed to one extent or another. In the context of atomism, truth is propositional, a stated thesis or premise, and confirmed by atom-based evidence, usually repeatable.
If you are dealing with God, there is Self-realization or Prophetic presentation, confirmed by signs following. If you are dealing with atomic realism, usually truth-claims are made in conventional disciplines. These latter are comprised of inter-monadic communities of knowers, "scientists." With these, one knows by argument to authority. With God, similar arguments to authority (proven Prophets) are the general procedure.
Some truth-claims are unprovable in the axiomized system that develops them (Godel's Incompleteness Theorems); to prove or disprove these, one needs a second framing, a more completely axiomized system.
People of the Lie;
On Bullsh*t by Harry Frankfurt;
Lying: Moral Choice in Public and Private Life;
Understanding Yourself by Mark Prophet.