Certificate for #2747 ⟨a, b, c | abc=a, ccab=1⟩

Completion settings:

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

Axiom: abc=a.

Defines rule #2.

Referenced by [3], [4].

Axiom: ccab=1.

Referenced by [3], [5].

Overlap of [2] ccab=1 with [1] abc=a:

Critical pair: cca=c.

Defines rule #4.

Referenced by [4], [5].

Overlap of [1] abc=a with [3] cca=c:

Critical pair: abc=aca.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] ccab=1 with [3] cca=c:

Critical pair: cb=1.

Defines rule #1.