Certificate for #7841 ⟨a, b, c | ab=1, cac=bcb⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] cac=bcb

Axiom: cac=bcb.

Defines rule #2.

Referenced by [3].

[3] ccb=bcbac

Overlap of [2] cac=bcb with [2] cac=bcb:

ca c cac

Critical pair: cabcb=bcbac.

Reduce LHS:

[1]c(ab)cb
⇒ ccb

Defines rule #3.