Certificate for #5585 ⟨a, b, c | ab=c, bcac=a⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = deg(b) = 0, a < b; deg(c) = 1

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

Axiom: bcac=a.

Reduce LHS:

Defines rule #2.

Referenced by [3].

Overlap of [2] babaab=a with [2] babaab=a:

Critical pair: babaaa=aabaab.

Defines rule #1.