Certificate for #12297 ⟨a, b | aaab=ba, bbbb=b

Completion settings:

[1] ba=aaab

Axiom: aaab=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbbb=b

Axiom: bbbb=b.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab=aaab

Overlap of [2] bbbb=b with [1] ba=aaab:

bbb b ba

Critical pair: bbbaaab=ba.

Reduce LHS:

[1]bb(ba)aab
[1]b(ba)aabaab
[1](ba)aabaabaab
[1]aaa(ba)abaabaab
[1]aaaaaa(ba)baabaab
[1]aaaaaaaaab(ba)abaab
[1]aaaaaaaaa(ba)aababaab
[1]aaaaaaaaaaaa(ba)ababaab
[1]aaaaaaaaaaaaaaa(ba)babaab
[1]aaaaaaaaaaaaaaaaaab(ba)baab
[1]aaaaaaaaaaaaaaaaaa(ba)aabbaab
[1]aaaaaaaaaaaaaaaaaaaaa(ba)abbaab
[1]aaaaaaaaaaaaaaaaaaaaaaaa(ba)bbaab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaabb(ba)ab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaab(ba)aabab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)aabaabab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)abaabab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)baabab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab(ba)abab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)aababab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)ababab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)babab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab(ba)bab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)aabbab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)abbab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)bbab
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabb(ba)b
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab(ba)aabb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)aabaabb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)abaabb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)baabb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab(ba)abb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)aababb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)ababb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)babb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab(ba)bb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)aabbb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)abbb
[1]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(ba)bbb
[2]aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa(bbbb)
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab

Reduce RHS:

[1](ba)
aaab

Defines rule #1.