Certificate for #2920 ⟨a, b, c | aab=b, aca=b⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Referenced by [3].

[2] b=aca

Axiom: aca=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=aca

Simplify [1] aab=b.

Reduce RHS:

[2](b)
⇒ aca

Referenced by [4].

[4] aaaca=aca

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

aa b b

Critical pair: aaaca=aca.

Defines rule #1.