Certificate for #1713 ⟨a, b, c | aab=bc, cac=1⟩

Completion settings:

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

Axiom: aab=bc.

Defines rule #4.

Referenced by [5].

Axiom: cac=1.

Referenced by [3], [4].

Overlap of [2] cac=1 with [2] cac=1:

Critical pair: ca=ac.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

Overlap of [2] cac=1 with [3] ac=ca:

Critical pair: cca=1.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] cca=1 with [1] aab=bc:

Critical pair: ccbc=ab.

Referenced by [6].

Overlap of [5] ccbc=ab with [4] cca=1:

Critical pair: ccb=abca.

Defines rule #3.