Certificate for #2949 ⟨a, b, c | aab=b, cac=b⟩

Completion settings:

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

Axiom: aab=b.

Referenced by [3].

Axiom: cac=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] aab=b.

Reduce RHS:

Referenced by [4].

Overlap of [3] aab=cac with [2] b=cac:

Critical pair: aacac=cac.

Defines rule #1.