A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[8866]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b4eeb542dec210fb in the data of the bases-min seal.

Certified for

[6, 8866] [6, 8877] [6, 9010] [6, 9020] [6, 11237] [6, 11389]

The identities

x² ≈ x⁴
xyx ≈ yx²
x²y²z ≈ xy²xz