Refuted

It's no wonder that his proposition was refuted so soon.

Tom refuted these allegations.

Tom refuted the assertion with a counterexample.

Tom refuted that assertion with a counterexample.

The natural scientific method essentially consists not of verification, but falsification: a model is valid as long as it cannot be experimentally refuted.

Botswana wildlife authorities have refuted reports the country's rhinoceros population is on the verge of extinction due to poaching.

Kalman refuted those claims.

No good idea is born in conferences. But a lot of bad ideas are refuted.