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

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

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