Morphocompletion for #546 ⟨a, b | ababa=aab⟩

Solved by morph:2/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. ababa ⇒ aab
2. abaab ⇒ aabba
3. aabbaba ⇒ aabab
4. aabbaab ⇒ aababba
5. abaaabb ⇒ aaabbba
6. aababbaa ⇒ abaaab
7. aababbaba ⇒ aaabb
8. aaabbbaba ⇒ aaabbab
9. aabbaaab ⇒ aaabbbaa
10. aaabbbaab ⇒ aaabbabba
11. abaaababb ⇒ aaababbba
12. abaaaabbb ⇒ aaaabbbba
13. aaabbabbaa ⇒ abaaabab
...

Collecting factors up to length 8 / frequency 7:

[2/0]ab37lf:28,lp:5,ls:4,rf:21,rp:2,rs:5,lprs:1
[2/1]aa35lf:25,lp:8,ls:2,rf:24,rp:11,rs:1,lprp:6,lprs:1
[2/2]ba25lf:21,ls:4,rf:15,rs:6
[2/3]bb18lf:15,ls:3,rf:15,rs:1,a:1
[3/0]aab24lf:15,lp:5,ls:4,rf:13,rp:4,rs:2,re:1,lprp:2,lsrp:2,lprs:1
[3/1]aba21lf:12,lp:5,ls:4,rf:6,rp:2
[3/2]abb14lf:12,ls:2,rf:10,rs:1,a:1
[3/3]aaa11lf:8,lp:3,rf:10,rp:7,lprp:2,a:3
[3/4]baa11lf:9,ls:2,rf:3,rs:1,a:1
[3/5]bba9lf:9,rf:9,rs:6,a:1
[3/6]bab8lf:8,rf:6,rs:3
[4/0]aabb12lf:8,lp:3,ls:1,rf:7,rp:1,rs:1,a:1
[4/1]aaab11lf:7,lp:3,ls:1,rf:9,rp:6,rs:1,lprp:2,lsrp:1,a:3
[4/2]abaa8lf:4,lp:4,rf:2,rp:2,a:1
[4/3]baba8lf:4,ls:4
[4/4]abba7lf:7,rf:5,rs:3,a:1
[4/5]bbaa7lf:5,ls:2,rf:1,rs:1,a:3
[4/6]baab6lf:3,ls:3,a:1
[5/0]aaabb9lf:5,lp:3,ls:1,rf:6,rp:5,rs:1,re:1,lprp:2,lsrp:1,a:4
[5/1]aabba7lf:4,lp:3,rf:3,rp:1,rs:1,re:1,a:1
[5/2]abaaa6lf:3,lp:3,rf:2,rp:2,a:3
[5/3]abbaa6lf:4,ls:2,a:3
[5/4]bbaba6lf:3,ls:3,a:2
[5/5]aabab5lf:3,lp:2,rf:4,rp:2,rs:2,re:1,a:2
[5/6]baaab4lf:3,ls:1,rf:2,rs:1,a:3
[6/0]aaabbb6lf:3,lp:2,ls:1,rf:3,rp:2,a:4
[6/1]aababb6lf:3,lp:2,ls:1,rf:2,rp:1,a:3
[6/2]abaaab4lf:2,lp:2,rf:2,rp:2,rs:1,re:1,a:3
[6/3]aabbaa4lf:2,lp:2,a:4
[6/4]abbaba4lf:2,ls:2,a:2
[6/5]babbaa4lf:2,ls:2,a:3
[6/6]aabbab3lf:2,lp:1,rf:2,rs:1,a:2
[7/0]aaabbba4lf:2,lp:2,rf:2,rp:2,rs:1,re:1,a:4
[7/1]aababba4lf:2,lp:2,rf:1,rp:1,rs:1,re:1,a:3
[7/2]abaaaab2lf:1,lp:1,a:40
[7/3]abaaaba2lf:1,lp:1,rf:1,rp:1,a:22
[7/4]aabbaaa2lf:1,lp:1,a:4
[7/5]aaaabbb2lf:1,ls:1,rf:1,rp:1,lsrp:1,a:40
[7/6]aaababb2lf:1,ls:1,rf:1,rp:1,lsrp:1,a:29

Considering [length 2 / frequency 0] ab=c.

Step 2

Rewriting system is complete. See ⟨a, b | ababa=aab⟩.