Certificate for #7112 ⟨a, b, c | ab=1, ccacc=a⟩

Back:⟨a, b, c | ab=1, ccacc=a⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

[2] ccacc=a

Axiom: ccacc=a.

Defines rule #3.

Referenced by [3], [4].

[3] aacc=ccaa

Overlap of [2] ccacc=a with [2] ccacc=a:

cca cc ccacc

Critical pair: ccaa=aacc.

Flip LHS and RHS.

Defines rule #2.

[4] acacc=ccaca

Overlap of [2] ccacc=a with [2] ccacc=a:

ccac c ccacc

Critical pair: ccaca=acacc.

Flip LHS and RHS.

Defines rule #4.