Small BCK algebras of order 3.3

list:=[
[# 1
[ 1, 2, 3 ],
[ 1, 1, 3 ],
[ 1, 1, 1 ]
],
[# 2
[ 1, 2, 3 ],
[ 1, 1, 2 ],
[ 1, 1, 1 ]
]
];