What is the psychological term for reframing that uses false statements?
Short answer
I think you are referring to 'self-deception', or 'interpersonal deception'.

Background
Self-deception is


  a process of denying or rationalizing away the relevance, significance, or importance of opposing evidence and logical argument. Self-deception involves convincing oneself of a truth (or lack of truth) so that one does not reveal any self-knowledge of the deception.


Self-deception is not simply an erroneous thought, as the acquisition and maintenance of the false belief is intentional not accidental. Self-deceivers apparently must (1) hold contradictory beliefs, and (2) intentionally get themselves to hold a belief they know or believe truly to be false. Therefore, it is related to interpersonal deception, where people intentionally let others to believe something, while knowing or believing truly that that is not true (source: Stanford University).


  Interpersonal deception theory (IDT) attempts to explain how individuals handle actual (or perceived) deception at the conscious or subconscious level while engaged in face-to-face communication.