Certificate for #3065 ⟨a, b, c | abc=a, cab=a⟩

Completion settings:

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

Axiom: abc=a.

Defines rule #3.

Referenced by [3], [4].

Axiom: cab=a.

Defines rule #2.

Referenced by [3], [4].

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

Critical pair: aba=aab.

Flip LHS and RHS.

Defines rule #4.

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

Critical pair: ca=ac.

Flip LHS and RHS.

Defines rule #1.