Certificate for #1505 ⟨a, b, c | ab=1, bac=cc⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] cc=bac

Axiom: bac=cc.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] cbac=bac

Overlap of [2] cc=bac with [2] cc=bac:

c c cc

Critical pair: cbac=bacc.

Reduce RHS:

[2]ba(cc)
[1]⇒ b(ab)ac
⇒ bac

Defines rule #3.