Small Residuated Lattices of order 3.1.3

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

Computed by Peter Jipsen using GAP 4.1 (this list can be copied and read into GAP)