Certificate for #1080 ⟨a, b, c | aa=1, abbcc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abbcc=1

Axiom: abbcc=1.

Referenced by [3].

[3] a=bbcc

Overlap of [1] aa=1 with [2] abbcc=1:

a a abbcc

Critical pair: a=bbcc.

Defines rule #2.

Referenced by [4].

[4] bbccbbcc=1

Overlap of [1] aa=1 with [3] a=bbcc:

aa a

Critical pair: bbcca=1.

Reduce LHS:

[3]bbcc(a)
⇒ bbccbbcc

Defines rule #1.