Certificate for #2571 ⟨a, b, c | aba=a, acbb=1⟩

Completion settings:

[1] aba=a

Axiom: aba=a.

Referenced by [3].

[2] acbb=1

Axiom: acbb=1.

Defines rule #2.

Referenced by [3].

[3] ab=1

Overlap of [1] aba=a with [2] acbb=1:

ab a acbb

Critical pair: ab=acbb.

Reduce RHS:

[2](acbb)
⇒ 1

Defines rule #1.