The word dispute be used as a verb or a noun:
Do not dispute me on this.
The dispute was settled quickly.
However, the word refute can be used only as a verb:
- I shall refute this claim.
The only way to use it as a noun is to add the suffix ‑tation:
- That was a weak refutation.
Why is this?
There was a noun (synonymous with refutation), but it was never very popular, so it died out. For example:
We finde no concurrent determination of ages past, and a positive and undeniable refute of these present, the affirmative is mutable.