A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 5595], which generates the variety V[5595]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-eac83a8d440af2b3 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. x³y ≈ x²y
3. x²yx ≈ xyx²
4. x²yx ≈ yx³
5. xyxy ≈ yx²y
6. x²y²x ≈ x²y³
7. xyxz ≈ yx²z
8. x²y²z ≈ xy²xz