A certified basis of 11 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[2860]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-97fe313d37a223f7 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁵
2. x²y ≈ xyx
3. x²y ≈ yx²
4. x³y ≈ yx³
5. x²y² ≈ y²x²
6. x⁴y ≈ yx⁴
7. x³y² ≈ y²x³
8. x⁴y² ≈ y²x⁴
9. x³y³ ≈ y³x³
10. x⁴y³ ≈ y³x⁴
11. x⁴y⁴ ≈ y⁴x⁴