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[3346]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-08b2a23e87565cb1 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. x²y² ≈ yxy
3. xyx ≈ xyx²
4. xy²z ≈ xyz
5. x²yz ≈ xyxz
6. xyzx ≈ xzyx