A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[5763]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-d852aa3f79feb557 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ y³
2. x²y ≈ yx²
3. xyx ≈ yx²
4. xyz ≈ xzy
5. xyz ≈ yxz
6. xyz ≈ xyzt³