A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[8713]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-6cf255b905f4d1c2 in the data of the bases-min seal.

Certified for

The identities

1. x²y ≈ xy
2. xy ≈ xy²
3. xy ≈ xyxy
4. xy ≈ xyzy
5. xy ≈ xzxy
6. xy ≈ xyzxy