Certificate for #1653 ⟨a, b, c | aab=ac, cbc=1⟩

Back:⟨a, b, c | aab=ac, cbc=1⟩

Completion settings:

[1] aab=ac

Axiom: aab=ac.

Defines rule #2.

Referenced by [5].

[2] cbc=1

Axiom: cbc=1.

Referenced by [3], [4].

[3] cb=bc

Overlap of [2] cbc=1 with [2] cbc=1:

cb c cbc

Critical pair: cb=bc.

Defines rule #1.

Referenced by [4].

[4] bcc=1

Overlap of [2] cbc=1 with [3] cb=bc:

cbc cb

Critical pair: bcc=1.

Defines rule #3.

Referenced by [5].

[5] accc=aa

Overlap of [1] aab=ac with [4] bcc=1:

aa b bcc

Critical pair: aa=accc.

Flip LHS and RHS.

Defines rule #4.