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If you have too many CV’s to look at, you can simply trash a random set (or automatically send a rejection email), then look at the remainder. You should still have roughly the same ratio of skilled candidates.

To still have the same ratio of skilled candidates would mean the automatic rejection has zero merit. For example, what about filtering for a minimum of x years of work experience for a senior position? Surely your ratio of skilled and appropriate candidates will increase.

What kind of proficiency do you mean, exactly? To me, the concept sounds too nebulous for a machine to analyse, as it needs precise instructions/criteria.

How do you "sort by proficency"?