A certified basis of 11 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[7950]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-7475851ea07ad3a5 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. x²yx ≈ xyx
3. xyx ≈ xyx²
4. xyxy ≈ xy²x
5. xyxy ≈ yx²y
6. xyxzx ≈ xyzx
7. xyxzy ≈ yx²zy
8. xyzxy ≈ xyzyx
9. xyzxy ≈ xzyxy
10. xyzxy ≈ xzy²x
11. xyzxy ≈ yxzxy