A certified basis of 2 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[11915]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-e96063eb75ae053f in the data of the bases-min seal.

Certified for

[6, 11915] [6, 14689] [6, 14814] [6, 14833] [6, 14851] [6, 14852]

The identities

x ≈ x³
xyzy ≈ xzy²