nonexhaustive

The story

1. Proto-Indo-European*né
2. Proto-Germanic*ne
3. Proto-Indo-European*ís?
4. Proto-Indo-European*h₁óynos
5. Proto-Germanic*ainaz
6. Proto-Germanic*nainaz
7. Proto-West Germanic*nain
8. Old Englishnān
9. Middle Englishnon
10. Old Englishnān
11. Old Englishnān-
12. Middle Englishnon-
13. Englishnon-
14. Proto-Indo-European*h₁éǵʰ
15. Proto-Indo-European*h₁éǵʰs
16. Proto-Italic*eks
17. Latinex
18. Latinex-
19. Proto-Indo-European*h₂ews-
20. Proto-Indo-European*h₂ews-ye-ti
21. Proto-Italic*auziō
22. Latinhauriō
23. Latinexhauriō
24. Latinexhaustus
25. Medieval Latinexhaustīvus
26. Englishexhaustive
27. English todaynonexhaustive

From non- + exhaustive.