Certificate for #3517 ⟨a, b, c | bb=ac, aca=b⟩

Completion settings:

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

Axiom: bb=ac.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2], [3].

Axiom: aca=b.

Reduce LHS:

Defines rule #1.

Referenced by [3].

Overlap of [2] bba=b with [1] ac=bb:

Critical pair: bbbb=bc.

Flip LHS and RHS.

Defines rule #3.