Certificate for #6989 ⟨a, b, c | ab=1, bacaa=c⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b < c

Axiom: ab=1.

Defines rule #1.

Referenced by [3], [4].

Axiom: bacaa=c.

Referenced by [3], [4], [5], [7].

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

Critical pair: ac=acaa.

Flip LHS and RHS.

Referenced by [6].

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

Critical pair: baca=cb.

Referenced by [5], [6], [8].

Overlap of [2] bacaa=c with [4] baca=cb:

Critical pair: cba=c.

Referenced by [6].

Overlap of [4] baca=cb with [3] acaa=ac:

Critical pair: bac=cba.

Reduce RHS:

Defines rule #3.

Referenced by [7], [8].

Overlap of [2] bacaa=c with [6] bac=c:

Critical pair: caa=c.

Defines rule #4.

Overlap of [4] baca=cb with [6] bac=c:

Critical pair: ca=cb.

Flip LHS and RHS.

Defines rule #2.