Certificate for #4591 ⟨a, b, c | abc=1, bcca=c⟩

Completion settings:

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

Axiom: abc=1.

Defines rule #2.

Referenced by [3], [4], [6].

Axiom: bcca=c.

Referenced by [3], [4], [5].

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

Critical pair: ac=ca.

Defines rule #1.

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

Critical pair: bcc=cbc.

Defines rule #3.

Referenced by [5].

Overlap of [2] bcca=c with [4] bcc=cbc:

Critical pair: cbca=c.

Referenced by [6].

Overlap of [1] abc=1 with [5] cbca=c:

Critical pair: abc=bca.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.