Certificate for #2372 ⟨a, b, c | aab=a, bbac=1⟩

Completion settings:

[1] aab=a

Axiom: aab=a.

Defines rule #1.

Referenced by [3], [4].

[2] bbac=1

Axiom: bbac=1.

Defines rule #4.

Referenced by [3].

[3] abac=aa

Overlap of [1] aab=a with [2] bbac=1:

aa b bbac

Critical pair: aa=abac.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] aac=aaa

Overlap of [1] aab=a with [3] abac=aa:

a ab abac

Critical pair: aaa=aac.

Flip LHS and RHS.

Defines rule #2.