Fruit Bearing Trees

We are going on our second year in the antique rental house.  And I can feel the familiar calling of fall now that the hard little pears are starting to fall to the ground with a distinctive thud.  I wish I knew what kind of pears they are or what to do with them.  We have two trees of the same mysterious variety.  They get to be slightly smaller than a baseball and stay rock hard throughout the growing season. Last year I left a number of them on the counter for weeks at a time and they just got harder, not softer.  It doesn’t matter if I pick them off the tree or wait until they fall; they are impenetrable to both tooth and knife.  Most of them take on the physical characteristics of a potato with weird knobs and divots rather than the classic pear shape (though the photo does not show this) so I’m wondering if I

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