Certificate for #7469 ⟨a, b, c | ab=1, baac=ca⟩

Completion settings:

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

Axiom: ab=1.

Defines rule #1.

Referenced by [3], [5].

Axiom: baac=ca.

Referenced by [3], [4].

Overlap of [1] ab=1 with [2] baac=ca:

Critical pair: aca=aac.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [2] baac=ca with [3] aac=aca:

Critical pair: baca=ca.

Referenced by [5].

Overlap of [4] baca=ca with [1] ab=1:

Critical pair: bac=cab.

Reduce RHS:

Defines rule #3.