Certificate for #6930 ⟨a, b, c | ab=1, acbba=c⟩

Back:⟨a, b, c | ab=1, acbba=c⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] acbba=c

Axiom: acbba=c.

Referenced by [3], [4], [5].

[3] acbb=cb

Overlap of [2] acbba=c with [1] ab=1:

acbb a ab

Critical pair: acbb=cb.

Defines rule #3.

Referenced by [4], [5].

[4] cba=c

Overlap of [2] acbba=c with [3] acbb=cb:

acbba acbb

Critical pair: cba=c.

Defines rule #2.

[5] ccbb=cbcb

Overlap of [2] acbba=c with [3] acbb=cb:

acbb a acbb

Critical pair: acbbcb=ccbb.

Reduce LHS:

[3](acbb)cb
⇒ cbcb

Flip LHS and RHS.

Defines rule #4.