Certificate for #6997 ⟨a, b, c | ab=1, bacbc=c⟩

Completion settings:

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

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

Axiom: bacbc=c.

Referenced by [3], [4].

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

Critical pair: ac=acbc.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [2] bacbc=c with [3] acbc=ac:

Critical pair: bac=c.

Defines rule #2.

Referenced by [5].

Overlap of [4] bac=c with [3] acbc=ac:

Critical pair: bac=cbc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.