Certificate for #7600 ⟨a, b, c | ab=1, cbac=ac⟩

Completion settings:

• Auxiliary generators:
  1. d = ac
• Reduction order:
  • Left-to-right recursive path with deg(b) = deg(c) = deg(d) = 0, b < c < d; deg(a) = 1

Axiom: ab=1.

Defines rule #2.

Axiom: cbac=ac.

Referenced by [4].

Axiom: ac=d.

Defines rule #3.

Referenced by [4], [5], [6].

Simplify [2] cbac=ac.

Reduce RHS:

Referenced by [5].

Overlap of [4] cbac=d with [3] ac=d:

Critical pair: cbd=d.

Defines rule #1.

Referenced by [6].

Overlap of [3] ac=d with [5] cbd=d:

Critical pair: ad=dbd.

Defines rule #4.