A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of 10 semigroups of order six, all of which generate the variety V[2593]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-ca40ac2f845aead4 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. x²y ≈ xy²
3. x²y ≈ yx²
4. xyx ≈ yx²
5. xy² ≈ xy³
6. xyz ≈ xzy
7. xyz ≈ yxz
8. xyz ≈ xyz²