Bueno, si las sumas son de 3 números, uno de cada posición, estos ejemplos harían (creo, los he generado automaticamente):
[18, 132, 226, 87] [80, 246, 46, 151] [99, 199, 23]
[50, 98, 217, 74] [207, 67, 192, 150] [1, 229, 242]
[45, 52, 115, 234] [134, 118, 252, 194] [111, 79, 90]

PD: El código, python:


import random
def test(a, b, c):
done = []
for i1 in a:
for i2 in b:
for i3 in c:
r = i1 + i2 + i3
if r in done:
return False
done.append(r)
return done

while True:
a = [int(random.random()*0xFF) for i in range(4)]
b = [int(random.random()*0xFF) for i in range(4)]
c = [int(random.random()*0xFF) for i in range(3)]
if test(a, b, c):
print(a, b, c)
break