Certificate for #1476 ⟨a, b, c | ab=1, aca=cc⟩

Back:⟨a, b, c | ab=1, aca=cc⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] aca=cc

Axiom: aca=cc.

Defines rule #2.

Referenced by [3], [4].

[3] ccb=ac

Overlap of [2] aca=cc with [1] ab=1:

ac a ab

Critical pair: ac=ccb.

Flip LHS and RHS.

Defines rule #3.

[4] ccca=accc

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

ac a aca

Critical pair: accc=ccca.

Flip LHS and RHS.

Defines rule #4.