Certificate for #5527 ⟨a, b, c | ab=c, abca=c⟩

Completion settings:

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

Axiom: ab=c.

Defines rule #2.

Referenced by [2], [3].

Axiom: abca=c.

Reduce LHS:

Defines rule #1.

Referenced by [3].

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

Critical pair: ccc=cb.

Flip LHS and RHS.

Defines rule #3.