Certificate for #5072 ⟨a, b | aaabbaa=aabb⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b < c
• Auxiliary generators:
  1. aabb=c

Axiom: aaabbaa=aabb.

Referenced by [3].

Axiom: aabb=c.

Defines rule #2.

Referenced by [3], [4], [5], [6].

Simplify [1] aaabbaa=aabb.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabbaa=c with [2] aabb=c:

Critical pair: acaa=c.

Defines rule #3.

Referenced by [5], [6], [7].

Overlap of [4] acaa=c with [2] aabb=c:

Critical pair: acc=cbb.

Flip LHS and RHS.

Defines rule #1.

Overlap of [4] acaa=c with [2] aabb=c:

Critical pair: acac=cabb.

Flip LHS and RHS.

Defines rule #4.

Overlap of [4] acaa=c with [4] acaa=c:

Critical pair: acac=ccaa.

Flip LHS and RHS.

Defines rule #5.