A certified basis of 18 identities
This list of identities is a basis, proved in Lean, of [6, 5625], which generates the variety V[5625]. Removing the identities that follow from the others leaves 12 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-4053bc4810e345ae in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- x²y² ≈ xyxy
- xyxy ≈ xy²x
- xyxy ≈ yx²y
- x³yx ≈ x²yx
- xyzx ≈ xzyx
- x²yzy ≈ xyxzy
- xyxzy ≈ yx²zy
- xyxz² ≈ xyzxz
- xyzxy ≈ xyzyx
- xyzxy ≈ yxzxy
- xyzxz ≈ xyz²x
- xyztx ≈ xytzx
- xyztx ≈ xzytx
- xyxztz ≈ xyzxtz
- xyzxty ≈ yxzxty
- xyztxz ≈ xyztzx
- xyztux ≈ xytzux