Certificate for #6828 ⟨a, b, c | ab=1, aacba=c⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b < c

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

Axiom: aacba=c.

Referenced by [3], [4].

Overlap of [2] aacba=c with [1] ab=1:

Critical pair: aacb=cb.

Referenced by [4], [5].

Overlap of [2] aacba=c with [3] aacb=cb:

Critical pair: cba=c.

Defines rule #3.

Referenced by [5], [6].

Overlap of [3] aacb=cb with [4] cba=c:

Critical pair: aac=cba.

Reduce RHS:

Defines rule #2.

Referenced by [6].

Overlap of [4] cba=c with [5] aac=c:

Critical pair: cbc=cac.

Defines rule #4.