User blog comment:Wythagoras/Graphs/@comment-1605058-20140917154317

I don't think you have shown that SSCG(4)>PSSCG(4). You haven't, for example, shown that by starting with co(P_2+P_3) followed by square fused to triangle followed by hexagon followed by... (a lot of graphs) ... followed by a lot of K4 graphs. This is by all means unlikely, but who said it's impossible?