SemiBase

A certified basis of 13 identities

This list of identities is a basis, proved in Lean, of [6, 14914], which generates the variety V[14914]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b4d8398a56f87c9c in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁵
  2. x²y² ≈ yx²y
  3. x²y² ≈ yxyx
  4. x²y² ≈ y²x²
  5. x⁴yx ≈ xyx
  6. x³yx ≈ yxy³
  7. x³y² ≈ yx³y
  8. xyzx ≈ xzyx
  9. x²yzy ≈ xyxzy
  10. x²yzy ≈ xy²zx
  11. x²yzy ≈ xzxy²
  12. x²yzy ≈ yx²zy
  13. xyztx ≈ xytzx