Small BCK algebras of order 4.7

list:=[
[# 1
[ 1, 2, 3, 4 ],
[ 1, 1, 3, 4 ],
[ 1, 1, 1, 4 ],
[ 1, 1, 3, 1 ]
],
[# 2
[ 1, 2, 3, 4 ],
[ 1, 1, 3, 2 ],
[ 1, 1, 1, 2 ],
[ 1, 1, 3, 1 ]
],
[# 3
[ 1, 2, 3, 4 ],
[ 1, 1, 2, 2 ],
[ 1, 1, 1, 2 ],
[ 1, 1, 2, 1 ]
]
];