I think that the premise of the question has to be expanded. There are multiple fables in the compendium and each one features a different conflict and resolution. The stories that become the fables are all different, as his own freedom was granted on his ability to weave stories of different depths, conflicts, and resolutions. It is here where there is not "one" conflict and "one" resolution. Rather, there are different examples of conflicts and resolutions depending on the fable.
For example, in "The Fox and the Crow," the conflict is that the crow has something that the fox wants. The resolution lies in the Fox's cunning ability to flatter and the Crow's desire to be the recipient of more praise. The resolution is that the fox ends up getting what he wants out of the crow, proving the illusory nature of false praise. In another fable, "The Two Pots," the conflict faced by the earthenware pot and the bronze pot is enduring the torrent of the river, while the resolution is that both pots remain separate from one another, as the earthenware pot recognizes not to try to be something that it is not and remain what it is. In these fables, there are different conflicts and resolutions that reflect different human truths to be explored and lessons to be taught.