A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 11 semigroups of order six, all of which generate the variety V[852]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-e14439e07a9b09bd in the data of the bases-min seal.

Certified for

The identities

1. x²y ≈ xy²
2. x²y ≈ yx²
3. xyx ≈ yx²
4. xyz ≈ xzy
5. xyz ≈ yxz
6. x⁴ ≈ yztx