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By curiosity, I would like to see an example of a model category with the underlying category locally presentable which is not accessible in this sense (and just in case: even by using Vopěnka's principle).

By curiosity, I would like to see an example of a model category with the underlying category locally presentable which is not accessible (and just in case: even by using Vopěnka's principle).

By curiosity, I would like to see an example of a model category with the underlying category locally presentable which is not accessible in this sense (and just in case: even by using Vopěnka's principle).

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Example of non accessible model categories

By curiosity, I would like to see an example of a model category with the underlying category locally presentable which is not accessible (and just in case: even by using Vopěnka's principle).