Where does “nonexistent” come from?

I need to work through this chain carefully, as it appears to have some errors or unusual elements that don't form a coherent etymological path. The chain given is: English existent | Latin existens | Latin nonus | Latin ex | Latin ex | English nine | Latin novem | Proto-Indo-European new- This doesn't form a logical sequence. "Nonexistent" would be a combination of "non-" (from Latin non, meaning "not") + "existent" (from Latin existens). The chain seems to conflate two separate etymological paths and includes anomalies like "English nine" appearing mid-chain in what should be a Latin-to-English progression. Given the constraints and the unreliable chain provided, I should note that I cannot construct an accurate one-sentence etymology from this chain as presented, since it violates basic etymological logic (English words shouldn't appear in the middle of a Latin

nonexistent (English): Not existent; not real