Certificate for #5938 ⟨a, b | abbbba=abbbb

Completion settings:

[1] abbbba=abbbb

Axiom: abbbba=abbbb.

Referenced by [3].

[2] abbbb=c

Axiom: abbbb=c.

Defines rule #2.

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

[3] abbbba=c

Simplify [1] abbbba=abbbb.

Reduce RHS:

[2](abbbb)
c

Referenced by [4].

[4] ca=c

Overlap of [3] abbbba=c with [2] abbbb=c:

abbbba abbbb

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

[5] cbbbb=cc

Overlap of [4] ca=c with [2] abbbb=c:

c a abbbb

Critical pair: cc=cbbbb.

Flip LHS and RHS.

Defines rule #3.