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[5613]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-426aaea0a720d3da in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. x²yx ≈ xyx²
3. x²y² ≈ xyxy
4. x²y² ≈ xy²x
5. x³yx ≈ x²yx
6. x²y³ ≈ xy³x
7. x²yz ≈ xyxz
8. xyzx ≈ xzyx
9. xyzy ≈ xzy²
10. x²yzy ≈ xy²zx
11. xyzt ≈ xzyt