A certified basis of 2 identities

This list of identities is a basis, proved in Lean, of 10 semigroups of order six, all of which generate the variety V[3393]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-19e35d105056a3b6 in the data of the bases-min seal.

Certified for

[6, 3393] [6, 3557] [6, 3558] [6, 3625] [6, 3626] [6, 6172] [6, 6180] [6, 6187] [6, 6188] [6, 9884]

The identities

x² ≈ x²y
xy² ≈ xyz