Certificate for #1534 ⟨a, b, c | ab=1, cac=bb⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] cac=bb

Axiom: cac=bb.

Defines rule #3.

Referenced by [3].

[3] cb=bbac

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

ca c cac

Critical pair: cabb=bbac.

Reduce LHS:

[1]c(ab)b
⇒ cb

Defines rule #2.