A certified basis of 2 identities

This list of identities is a basis, proved in Lean, of 5 semigroups of order six, all of which generate the variety V[11897]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-8bfb7a4ad7e28a8f in the data of the bases-min seal.

Certified for

[6, 11897] [6, 14651] [6, 14680] [6, 14762] [6, 14780]

The identities

x ≈ x³
x²yz ≈ xyxz