A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 8 semigroups of order six, all of which generate the variety V[5550]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-8fa318afed234f03 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. x²y ≈ xyx
3. x³y ≈ x²y
4. x²y ≈ x²y²
5. xy² ≈ xy³
6. xyz ≈ xzy
7. xy²z ≈ xyz