Small BCK algebras of order 5.13

Help for the posets applet 
list:=[
[# 1
[ 1, 2, 3, 4, 5 ],
[ 1, 1, 3, 4, 5 ],
[ 1, 2, 1, 4, 5 ],
[ 1, 2, 1, 1, 5 ],
[ 1, 2, 1, 4, 1 ]
],
[# 2
[ 1, 2, 3, 4, 5 ],
[ 1, 1, 3, 4, 5 ],
[ 1, 2, 1, 4, 3 ],
[ 1, 2, 1, 1, 3 ],
[ 1, 2, 1, 4, 1 ]
],
[# 3
[ 1, 2, 3, 4, 5 ],
[ 1, 1, 3, 4, 5 ],
[ 1, 2, 1, 3, 3 ],
[ 1, 2, 1, 1, 3 ],
[ 1, 2, 1, 3, 1 ]
]
];
Computed by Peter Jipsen using GAP 3.4 (this list can be copied and read into GAP)