Certificate for #5394 ⟨a, b | abbaaab=bbab

Completion settings:

[1] abbaaab=bbab

Axiom: abbaaab=bbab.

Referenced by [3].

[2] bbab=c

Axiom: bbab=c.

Defines rule #5.

Referenced by [3], [4], [6], [7].

[3] abbaaab=c

Simplify [1] abbaaab=bbab.

Reduce RHS:

[2](bbab)
c

Defines rule #6.

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

[4] bbac=cbab

Overlap of [2] bbab=c with [2] bbab=c:

bba b bbab

Critical pair: bbac=cbab.

Defines rule #2.

[5] abbaac=cbaaab

Overlap of [3] abbaaab=c with [3] abbaaab=c:

abbaa ab abbaaab

Critical pair: abbaac=cbaaab.

Defines rule #3.

[6] abbaaac=cbab

Overlap of [3] abbaaab=c with [2] bbab=c:

abbaaa b bbab

Critical pair: abbaaac=cbab.

Defines rule #4.

[7] bbc=cbaaab

Overlap of [2] bbab=c with [3] abbaaab=c:

bb ab abbaaab

Critical pair: bbc=cbaaab.

Defines rule #1.