The phrase "conform to fact" is correct and usable in written English.
You can use this phrase to refer to something being in agreement with an established set of facts or evidence. For example, "The student's work clearly does not conform to fact and therefore she did not receive a passing grade."
I am only interested in the merit of the ideas and because ideas do matter, this is an opportunity to consider if they conform to scientific fact and how they fare in human terms.
Instead of altering its plan to conform to changing facts, the White House simply altered its rationale for the tax cuts.
A thorough examination of the cases comprising what has been referenced as the minority view reveals reasoning similar to ours, which provides the opportunity for recovery only upon a showing of a special relationship between the plaintiff and alleged tortfeasor and narrowly tailors the recovery to conform to the facts of the case under scrutiny.
He said the explanation from the Chinese side "does not conform to the facts and is completely unacceptable, and I have responded to them as such".
Despite the predictability of its setting, Misfits was unusual, as it didn't conform to type – in fact, it takes its paranormal characters more seriously than most documentary makers take their apparently real subjects.
Our rule in this particular is different from that of the House of Commons; it is also better, for it makes our theory conform to what is fact in both countries, that the act of becoming in reality a Member of the House depends wholly upon the will of the person elected and returned.
Our findings did not conform to the established facts, in that statistically significant differences were observed in the seropositivity between the age groups of camels, being higher in the sexually mature age group.
The appellants have argued that Idlewild's operations do not in fact conform to the various federal statutory and administrative standards under authority of which the operations are conducted.
The cosmological principles light and night do not in fact conform to those strictures.
