This happens to be a negative edge triggered JK flip flop. I used boolean algebra and found D = E' and E = D'. Given the propagation delay I thought this was
File:Negative-edge triggered master slave D flip-flop.svg - Wikimedia Commons
Master Slave Flip - an overview | ScienceDirect Topics
Telecommunication and Electronics Projects: Working of Master Slave Negative Edge D Flip-Flop