A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 11 semigroups of order six, all of which generate the variety V[3471]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-ea4419f9a5e0590a in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. x²yx ≈ xyx
3. xyx ≈ xyx²
4. x²y² ≈ xyxy
5. x²y² ≈ xy²x
6. x²y² ≈ yx²y
7. xyzy ≈ xzy²