A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of 8 semigroups of order six, all of which generate the variety V[12774]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-a27fa7a870f2853b in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. xy ≈ xy²
3. x²y ≈ xyxy
4. x²yxz ≈ xyxz
5. x²yzx ≈ xyzx
6. xyxz ≈ xyzxz
7. xyxzx ≈ xyzx
8. x²yzy ≈ xyxzy