Certificate for #398 ⟨a, b, c | abc=a, cab=1⟩

Completion settings:

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

Axiom: abc=a.

Defines rule #4.

Referenced by [3], [4].

Axiom: cab=1.

Referenced by [3], [5].

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

Critical pair: ca=c.

Defines rule #2.

Referenced by [4], [5].

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

Critical pair: abc=aa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] cab=1 with [3] ca=c:

Critical pair: cb=1.

Defines rule #3.