SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 9726], which generates the variety V[9726]. Removing the identities that follow from the others leaves 8 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-f1203b524a4b29d2 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x³y ≈ x²yx
  3. xyxy ≈ xy²x
  4. xyx² ≈ xyx³
  5. xyx²z ≈ xyxzx
  6. xyzxy ≈ xyzyx
  7. xyzxz ≈ xyz²x
  8. xyztxz ≈ xyztzx