Certificate for #7865 ⟨a, b, c | ab=1, ccc=aca⟩

Completion settings:

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

Axiom: ab=1.

Defines rule #4.

Referenced by [3].

Axiom: ccc=aca.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3], [4].

Overlap of [2] aca=ccc with [1] ab=1:

Critical pair: ac=cccb.

Flip LHS and RHS.

Defines rule #2.

Overlap of [2] aca=ccc with [2] aca=ccc:

Critical pair: acccc=cccca.

Flip LHS and RHS.

Defines rule #1.