A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 8 semigroups of order six, all of which generate the variety V[3810]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b493acacd9a21990 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. x²y ≈ xyx
3. x²y ≈ x²y²
4. xyz ≈ xyz²
5. x²yz ≈ x²zy
6. xy²z ≈ xzyz