A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 9 semigroups of order six, all of which generate the variety V[2612]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-44c426c5ade84ccd in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. x²y ≈ yx²
3. xyx ≈ yx²
4. xy² ≈ xy³
5. xyz ≈ xzy
6. xyz ≈ yxz