A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 16 semigroups of order six, all of which generate the variety V[3198]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-d118f3038e09a439 in the data of the bases-min seal.

Certified for

[6, 3198] [6, 3199] [6, 3210] [6, 3211] [6, 3218] [6, 3235] [6, 5950] [6, 5973] [6, 7072] [6, 7145] [6, 7202] [6, 7209] [6, 7213] [6, 7215] [6, 8582] [6, 9992]

The identities

x²y ≈ xy
xyx ≈ yx²
xyzx ≈ xzyx