Certificate for #6102 ⟨a, b, c | ab=c, cac=bb⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] abaab=bb

Axiom: cac=bb.

Reduce LHS:

[1](c)ac
[1]⇒ aba(c)
⇒ abaab

Defines rule #2.

Referenced by [3].

[3] ababb=bbaab

Overlap of [2] abaab=bb with [2] abaab=bb:

aba ab abaab

Critical pair: ababb=bbaab.

Defines rule #1.