The Catholic Faith does not publish a list of scientific truths
? The Catholic faith does not instruct in science but in revelation. She does publish a list of those beliefs. The question asks which of those published beliefs are contradicted by empirical science.
However, I suspect that certain inferences in Humani Generis could constitute a denial of certain currently accepted scientific facts.
Can you demonstrate the logic you used to make such inferences in Humani Generis?
If it is true (which I don’t think is currently really so) that “the Catholic Faith” insists that the human race arose from a single, exclusive pair of hominids, then that would probably be a “scientific truth contradicted by the Catholic faith”.
I am somewhat confused as to what you are saying above.
First, I agree with you. The Church does not teach “that the human race arose from a single, exclusive pair of hominids.” So this is not an example of any contradiction.
Second, (and, I think, to the points in Humani Generis), the historiographical sciences propose theories that give meaning by organizing events in a manner that shows coherence.
As a science, historiographers (paleontologists, geologists, historians, etc.) make observations and use inductive reasoning to put forth theories concerned with the origin and history of the cosmos and of living beings. Because phenomena of the distant past are not open to observation and experiment, historiographers must attempt to reconstruct the events of the past and appeal to the principle of uniformity.
Secular historians often have more difficulty in defending their positions than their counterparts in the experimental sciences (chemistry, physics, etc.). Unlike the experimental scientists, secular historians may only refer to available recorded human testimony and artifact, while the experimental sciences can always refer to repeatable experiments.
Despite their difficult position, historians succeed in giving well-rounded explanations for past events but their explanations or meanings are necessarily more contrived than derived, somewhat subjective, and always dependent on the discovery of additional artifact or ancient manuscript. For these reasons, secular historians often disagree on their interpretations of the same evidence.
However, your second question is very odd. I think the Catholic faith believes in conventional science, which is certainly in principle falsifiable.
But that was not the question. Of course, some claims in conventional science are falsifiable. The question is what claims does the Catholic faith make that have been falsified by conventional science?