Certificate for #7839 ⟨a, b, c | ab=1, cac=bbc⟩

Back:⟨a, b, c | ab=1, cac=bbc⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] bbc=cac

Axiom: cac=bbc.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] acac=bc

Overlap of [1] ab=1 with [2] bbc=cac:

a b bbc

Critical pair: acac=bc.

Defines rule #4.

Referenced by [4].

[4] acbc=bcac

Overlap of [3] acac=bc with [3] acac=bc:

ac ac acac

Critical pair: acbc=bcac.

Defines rule #3.