SemiBase

A certified basis of 14 identities

This list of identities is a basis, proved in Lean, of [6, 9095], which generates the variety V[9095]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-3ecfd7a8c1b959aa in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁵
  2. x²y² ≈ yx²y
  3. x²y² ≈ y²x²
  4. x⁴yx ≈ xyx
  5. xyx ≈ xy⁴x
  6. x³yx ≈ yxy³
  7. x³y² ≈ yx³y
  8. x²yz ≈ xyxz
  9. xyzx ≈ xzyx
  10. xyzy ≈ xzy²
  11. xy⁴z ≈ xyz
  12. x²yzy ≈ xy²zx
  13. x²yzy ≈ yx²zy
  14. xyzt ≈ xzyt