A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of 12 semigroups of order six, all of which generate the variety V[1236]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-422da11c4e8728f0 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x⁴
2. x²y ≈ xyx
3. x²y ≈ yx²
4. x³y ≈ xy³
5. x²y ≈ x²y³
6. xyz ≈ xzy
7. xyz ≈ yxz
8. x³yz ≈ xyz