SemiBase

A certified basis of 15 identities

This list of identities is a basis, proved in Lean, of [6, 9736], which generates the variety V[9736]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-dcf3fa8800d409e9 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x²yx ≈ xyx²
  3. x²y² ≈ xyxy
  4. x³yx ≈ x²yx
  5. x²yz ≈ xyxz
  6. xyzx ≈ xzyx
  7. xyzy ≈ xzy²
  8. xyzt ≈ xzyt
  9. xyzt ≈ xzyt
  10. xyzt ≈ xzyt
  11. xyzt ≈ xzyt
  12. xyzt ≈ xzyt
  13. xyzt ≈ xzyt
  14. xyztx ≈ xytzx
  15. xyztx ≈ xytzx