A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[1262]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-edf5222bb72955de in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x⁴
2. x²y ≈ xyx
3. x²y ≈ yx²
4. x³y ≈ yx³
5. x²y² ≈ y²x²
6. x³y² ≈ y²x³
7. x³y³ ≈ y³x³