Certificate for #5245 ⟨a, b | aabbbaa=abbb⟩

Back:⟨a, b | aabbbaa=abbb⟩

Completion settings:

[1] aabbbaa=abbb

Axiom: aabbbaa=abbb.

Referenced by [3].

[2] abbb=c

Axiom: abbb=c.

Defines rule #1.

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

[3] aabbbaa=c

Simplify [1] aabbbaa=abbb.

Reduce RHS:

[2](abbb)
⇒ c

Referenced by [4].

[4] acaa=c

Overlap of [3] aabbbaa=c with [2] abbb=c:

a abbbaa abbb

Critical pair: acaa=c.

Defines rule #2.

Referenced by [5], [6].

[5] cbbb=acac

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

aca a abbb

Critical pair: acac=cbbb.

Flip LHS and RHS.

Defines rule #3.

[6] ccaa=acac

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

aca a acaa

Critical pair: acac=ccaa.

Flip LHS and RHS.

Defines rule #4.