theorem :: GFACIRC1:122

for x, y, z being set st z <> [<*x,y*>,xor2] holds
( x in InputVertices (GFA3AdderStr (x,y,z)) & y in InputVertices (GFA3AdderStr (x,y,z)) & z in InputVertices (GFA3AdderStr (x,y,z)) )