Relation R: (non-transitive)
R(a,a), R(a,c)
R(b,b)
R(c,b), R(c,c)
R(0,x) x = 0, a, b, c, 1
R(x,1) x = 0, a, b, c, 1

Orthosupplement:
0 a b c 1
0 b a c 1

Candidates to fill: (0, a), (0, b), (0, c), (0, 1)*, (a, b)*, (a, c), (c, c)*