A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 5 semigroups of order six, all of which generate the variety V[7434]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-9c622e44ebc1dbce in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. x²yx ≈ xyx
3. xyx ≈ xyx²
4. xyx ≈ yxyx
5. xyxz ≈ yxyz
6. xyzx ≈ xzyx