**Neither a teacher nor a native speaker.**
"to not" is not good English.
You should use "not to", as euncu did.
Cheers!
That's why I didn't put the first "to" inside the quotation marks. When it's used in a sentence it would become, for example "didn't meet" (rather than "didn't to meet") so the "not" part is within the phrase. However, I take your point!
On sort of the same note, in that case, Euncu's would be "not to live up
to", as opposed to "not to live up".