Certificate for #4477 ⟨a, b | aaaabbba=bba

Completion settings:

[1] aaaabbba=bba

Axiom: aaaabbba=bba.

Referenced by [3].

[2] bba=c

Axiom: bba=c.

Defines rule #2.

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

[3] aaaabbba=c

Simplify [1] aaaabbba=bba.

Reduce RHS:

[2](bba)
c

Referenced by [4].

[4] aaaabc=c

Overlap of [3] aaaabbba=c with [2] bba=c:

aaaab bba bba

Critical pair: aaaabc=c.

Defines rule #1.

Referenced by [5].

[5] bbc=caaabc

Overlap of [2] bba=c with [4] aaaabc=c:

bb a aaaabc

Critical pair: bbc=caaabc.

Defines rule #3.