Certificate for #17139 ⟨a, b | aaaa=1, abbbbb=b

Completion settings:

[1] aaaa=1

Axiom: aaaa=1.

Defines rule #3.

Referenced by [3], [6].

[2] abbbbb=b

Axiom: abbbbb=b.

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

[3] aaab=bbbbb

Overlap of [1] aaaa=1 with [2] abbbbb=b:

aaa a abbbbb

Critical pair: aaab=bbbbb.

Referenced by [4], [6].

[4] aab=bbbbbbbbb

Overlap of [3] aaab=bbbbb with [2] abbbbb=b:

aa ab abbbbb

Critical pair: aab=bbbbbbbbb.

Referenced by [5].

[5] ab=bbbbbbbbbbbbb

Overlap of [4] aab=bbbbbbbbb with [2] abbbbb=b:

a ab abbbbb

Critical pair: ab=bbbbbbbbbbbbb.

Defines rule #2.

Referenced by [6].

[6] bbbbbbbbbbbbbbbbb=b

Overlap of [1] aaaa=1 with [5] ab=bbbbbbbbbbbbb:

aaa a ab

Critical pair: aaabbbbbbbbbbbbb=b.

Reduce LHS:

[3](aaab)bbbbbbbbbbbb
bbbbbbbbbbbbbbbbb

Defines rule #1.