Certificate for #4821 ⟨a, b, c | ab=a, acbac=1⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [5].

Axiom: acbac=1.

Referenced by [3], [4].

Overlap of [2] acbac=1 with [2] acbac=1:

Critical pair: acb=bac.

Defines rule #2.

Referenced by [4].

Overlap of [2] acbac=1 with [3] acb=bac:

Critical pair: bacac=1.

Defines rule #3.

Referenced by [5].

Overlap of [1] ab=a with [4] bacac=1:

Critical pair: a=aacac.

Flip LHS and RHS.

Defines rule #4.