Certificate for #6927 ⟨a, b, c | ab=1, acbac=c⟩

Completion settings:

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

Axiom: ab=1.

Defines rule #1.

Axiom: acbac=c.

Referenced by [3], [4].

Overlap of [2] acbac=c with [2] acbac=c:

Critical pair: acbc=cbac.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [2] acbac=c with [3] cbac=acbc:

Critical pair: aacbc=c.

Defines rule #3.