let ap, bm, cp be non pair set ; for x, y, z being set holds InputVertices (BitGFA1Str ap,bm,cp) misses InnerVertices (BitGFA2Str x,y,z)
let x, y, z be set ; InputVertices (BitGFA1Str ap,bm,cp) misses InnerVertices (BitGFA2Str x,y,z)
set S1 = BitGFA1Str ap,bm,cp;
set S2 = BitGFA2Str x,y,z;
not InputVertices (BitGFA1Str ap,bm,cp) is with_pair
by GFACIRC1:80;
hence
InputVertices (BitGFA1Str ap,bm,cp) misses InnerVertices (BitGFA2Str x,y,z)
by FACIRC_1:5, GFACIRC1:114; verum