Certificate for #2729 ⟨a, b, c | abc=a, caab=1⟩

Completion settings:

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

Axiom: abc=a.

Defines rule #3.

Referenced by [3], [4].

Axiom: caab=1.

Referenced by [3], [5].

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

Critical pair: caa=c.

Defines rule #4.

Referenced by [4], [5].

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

Critical pair: abc=aaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Overlap of [2] caab=1 with [3] caa=c:

Critical pair: cb=1.

Defines rule #1.