A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[2862]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-31235269cc03c0ab in the data of the bases-min seal.

Certified for

The identities

1. x⁴ ≈ x⁶
2. xy ≈ yx
3. x³y ≈ xy³
4. x⁵y ≈ x³y
5. x⁴y² ≈ x²y²
6. x⁴yz ≈ x²yz
7. xyzt ≈ xyzt³