"incontrovertible argument" is correct and usable in written English.
It can be used to describe a strong, indisputable argument that cannot be denied or argued against. For example, "The prosecutor presented an incontrovertible argument that the suspect had committed the crime."
Gonzalo Arijón's documentary "Stranded: I've Come From a Plane That Crashed on the Mountains" offers an incontrovertible argument for the necessity of team spirit in the face of catastrophe.
According to Lindquist, "The new experiments provide an almost incontrovertible argument in favor" of the hypothesis that prions alone can be infectious--at least in yeast.
As the Obama administration lunges ever more rightward day by day, revealing Obama's unwillingness even to try to govern in the face of Republican obduracy, all that remains in Obama's favor is the incontrovertible argument that he's "better than Bush".
The social and moral arguments are incontrovertible.
This reveals that it is false to assume that data alone, or evidence-based assessment, has the potential to point us towards a single narrative or argument leading to an incontrovertible conclusion in research.
By John Cassidy April 28, 2015 Negotiations about Greece's debt may proceed more smoothly without the country's prickly finance minister, Yanis Varoufakis, but his arguments about austerity are incontrovertible.
In the argument over the derelict house, one incontrovertible fact emerges: it was improperly purchased by the Bedford Hills group.
Leaving to one side the moral argument for the move, which is incontrovertible, many of the beneficiaries are UK citizens born, schooled and raised here at taxpayers' expense; where would they go, since we are the only country daft enough to pander to the rich in this way?
With reference to the troubles in the euro zone, their arguments against a currency union were sufficiently clear, if not incontrovertible, to cast doubt on one of the nationalists' fundamental claims.
In the absence of incontrovertible scientific data, it will be hard to minimise the influence of lobbying and special pleading from either side of the argument.
Her argument nonetheless would be more persuasive if she had dealt directly with what would seem to be an incontrovertible fact, that at the top echelons of American corporate and professional life women are still grossly underrepresented.
