A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[9800]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-e4873045ff373df3 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁶
2. xy ≈ yx
3. x⁵y ≈ x²y
4. x²y ≈ x²y⁴
5. x⁴y ≈ xy⁴
6. x⁴yz ≈ xyz