My friend, Justin, and I tried doing the mechanism for the reaction. We were able to generate product through these two steps:
1) Aldol Condensation (2x to remove 2H2O)
2) [4+2] Cycloaddition (Thermal Conditions) aka Diels-Alder Reaction
My friend suspected the aldol condensation since the product has four less hydrogens and two less oxygen atoms (which can be translated to two less water molecules) than the starting materials. Attached herein is the mechanism. Any comments on it would be highly appreciated. Have a nice day!