A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[14916]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-5a492d7b37cb119d in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x⁵
2. xyx ≈ yx²
3. x²y² ≈ y²x²
4. x³y² ≈ y²x³
5. x⁴y² ≈ y²x⁴
6. x³y³ ≈ y³x³
7. x⁴y³ ≈ y³x⁴
8. x⁴y⁴ ≈ y⁴x⁴