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

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