Learn English – What’s a word for knowing something from experience

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I'm trying to figure out a word that describes subconsciously knowing something from experience. My initial attempt was "instinct", but that has more gifted and primal connotations.

The use case I had in mind was as follows:

"If we assume that the model is applicable, it tells us what we've ________ known for a while […]"

Update:

The word that fits best for my use case seems to be intuitively.

Another good one was empirically, but it tends to imply there were some experiments carried out to glean the knowledge, which wasn't the case.

Best Answer

How about conditioned?

OD:

condition: train or accustom to behave in a certain way or to accept certain circumstances: ‘our minds are heavily conditioned and circumscribed by habit’ [with object and infinitive] ‘they are beliefs which he has been conditioned to accept’ ‘social conditioning’

More example sentences

‘We have become conditioned into being, behaving, reacting to any situation in a certain way, and we perpetuate this conditioning by the way we think.’

‘They are beliefs which he has been conditioned to accept.’

Conditioned fits the sense of knowing something but without being conscious of it.

Update: Based on your edits to the question, how about intuitive?

OD:

intuitive: using or based on what one feels to be true even without conscious reasoning; instinctive

Your example:

"If we assume that the model is applicable, it tells us what we've known intuitively for a while [...]"

One develops intuition based on experience. For example, chemists often speak of chemical intuition when speculating on the outcome of chemical reactions.

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