Certificate for #4564 ⟨a, b, c | abc=1, baca=c⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < c < b

Axiom: abc=1.

Defines rule #1.

Referenced by [3], [5].

Axiom: baca=c.

Referenced by [3], [4].

Overlap of [2] baca=c with [1] abc=1:

Critical pair: bac=cbc.

Defines rule #2.

Referenced by [4].

Overlap of [2] baca=c with [3] bac=cbc:

Critical pair: cbca=c.

Referenced by [5].

Overlap of [1] abc=1 with [4] cbca=c:

Critical pair: abc=bca.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.