Certificate for #6819 ⟨a, b, c | ab=1, aacaa=c⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1

Axiom: ab=1.

Defines rule #4.

Referenced by [3].

Axiom: aacaa=c.

Defines rule #2.

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

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

Critical pair: aaca=cb.

Flip LHS and RHS.

Defines rule #5.

Overlap of [2] aacaa=c with [2] aacaa=c:

Critical pair: aacc=ccaa.

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] aacaa=c with [2] aacaa=c:

Critical pair: aacac=cacaa.

Flip LHS and RHS.

Defines rule #3.