"I think she knew me--and I think she did NOT know me.
These opinions do conflict, I perceive it plainly; I cannot reconcile them, neither can I, by argument, dismiss either of the two, or even persuade one to outweigh the other.

The matter standeth simply thus: she MUST have known my face, my figure, my voice, for how could it be otherwise?
Yet she SAID she knew me not, and that is proof perfect, for she cannot lie.

But stop--I think I begin to see.

Peradventure he hath influenced her, commanded her, compelled her to lie.

That is the solution.