Certificate for #7412 ⟨a, b, c | ab=1, acac=bc⟩

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 #3.

Referenced by [3].

Axiom: acac=bc.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

Overlap of [1] ab=1 with [2] bc=acac:

Critical pair: aacac=c.

Defines rule #1.