I'm curious (and I really am curious, rather than being argumentative)......
Someone says "X doesn't exist".
You show them multiple examples of X.
They ignore you.
A few days later they repeat "X doesn't exist" and add in "I've challenged people to show me X for years and no one has ever shown X".
How do you characterize that?
In creationists, I see that as a faith based confirmation bias filtering what can be seen and what cannot. I base that assessment on the testimony of Old Earth Creationist and geologist Glenn Morton, who had earlier been a Young Earth Creationist:
"Thus was born the realization that there is a dangerous demon, Morton''s demon < Creation Science, Morton's Demon >, on the loose. When I was a YEC, I had a demon that did similar things for me that Maxwell's demon did for thermodynamics. Morton's demon was a demon who sat at the gate of my sensory input apparatus and if and when he saw supportive evidence coming in, he opened the gate. But if he saw contradictory data coming in, he closed the gate. In this way, the demon allowed me to believe that I was right and to avoid any nasty contradictory data. Fortunately, I eventually realized that the demon was there and began to open the gate when he wasn't looking.
[snip]
"The demon makes its victim feel very comfortable as there is no contradictory data in view. The demon is better than a set of rose colored glasses. The demon's victim does not understand why everyone else doesn't fall down and accept the victim's views. After all, the world is thought to be as the victim sees it
[snip]
"But one thing that those unaffected by this demon don't understand is that the victim is not lying about the data. The demon only lets his victim see what the demon wants him to see and thus the victim, whose sensory input is horribly askew, feels that he is totally honest about the data. The victim doesn't know that he is the host to an evil parasite and indeed many of their opponents don't know that as well since the demon is smart enough to be too small to be seen."
I find Morton sincere and credible. If he says that he was blind to this process, as counterintuitive as that claim may seem, I believe him. And that is how I see the creationists - not as liars, but as people under the sway of a powerful cognitive bias.
This process, as you may know, also goes by the name "antiprocessing."
You also have to factor in how she taunts and goads the science advocates into posting science to her, only to have her do what you describe above, followed by more taunts, which triggers more science posts to her
That's the creationist two-step.
There is never a duty to provide evidence to a faith based thinker. They didn't use it to arrive at there present position, they reject it out of hand without even looking at it, and cannot be budged by it. It's sufficient to advise them to believe in evolution by faith. Simply choose to believe it. There is no other means by which they could or would.