theorem
for
x,
y,
z being
set st
z <> [<*x,y*>,xor2] &
x <> [<*y,z*>,nor2] &
y <> [<*z,x*>,nor2] &
z <> [<*x,y*>,nor2] holds
(
x in InputVertices (BitGFA3Str (x,y,z)) &
y in InputVertices (BitGFA3Str (x,y,z)) &
z in InputVertices (BitGFA3Str (x,y,z)) )