Certificate for #5118 ⟨a, b | aabaaab=aaab

Completion settings:

[1] aabaaab=aaab

Axiom: aabaaab=aaab.

Referenced by [3].

[2] aaab=c

Axiom: aaab=c.

Defines rule #2.

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

[3] aabaaab=c

Simplify [1] aabaaab=aaab.

Reduce RHS:

[2](aaab)
c

Referenced by [4].

[4] aabc=c

Overlap of [3] aabaaab=c with [2] aaab=c:

aab aaab aaab

Critical pair: aabc=c.

Defines rule #3.

Referenced by [5].

[5] ac=cc

Overlap of [2] aaab=c with [4] aabc=c:

a aab aabc

Critical pair: ac=cc.

Defines rule #1.