Certificate for #5504 ⟨a, b, c | ab=c, aaca=c⟩

Completion settings:

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

Axiom: ab=c.

Defines rule #4.

Referenced by [3].

Axiom: aaca=c.

Defines rule #2.

Referenced by [3], [4].

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

Critical pair: aacc=cb.

Flip LHS and RHS.

Referenced by [5].

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

Critical pair: aacc=caca.

Defines rule #1.

Referenced by [5].

Simplify [3] cb=aacc.

Reduce RHS:

Defines rule #3.