Morphocompletion for #5811 ⟨a, b | abaaab=aaaba

Solved by morph:2/1,2/0,2/0,2/0,2/1. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#Rule
1. abaaab ⇒ aaaba
2. aaabaaaab ⇒ abaaaaaba
3. ababaaaaaba ⇒ aaabaaaaab
4. aaabaabaaaaaba ⇒ abaaaaabaaaaab
5. aaabaaaaabaab ⇒ ababaaaaaaaba
6. abababaaaaaaaba ⇒ aaabaaaaaabaab
7. aaabaaaaabbaaab ⇒ ababaaaaaaabaa
8. aaabaaaaaabbaaab ⇒ aaabaaaaaabaaba
9. aaabaaaaaabaabaab ⇒ abababaaaaaaaaaba
10. aaabaaaaaaabbaaab ⇒ aaabaaaaaaabaaba
...

Collecting factors up to length 3, frequency 2:

Length 2:[2/0] aa, [2/1] ab

Considering [length 2 / frequency 1] ab=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. aaca ⇒ caac
2. aaccaac ⇒ ccaacca
3. aacccaacc ⇒ ccccaacca
4. ccaaccaa ⇒ aacccaac
5. aacccccaacca ⇒ ccaaccccaacc
6. ccaaccacaac ⇒ aaccccaacca
7. ccaaccaccaacc ⇒ aaccccccaacca
8. ccaaccccaaccac ⇒ aacccccccaacca
9. aaaacccaac ⇒ ccaaccacaa
10. ccaaccacaaa ⇒ aaaaccccaac
11. aaaaccccaacca ⇒ ccaaccacacaac
12. aaaaaaccccaac ⇒ ccaaccacacaaa
13. ccaaccacacaaaa ⇒ aaaaaacccccaac
14. ab ⇒ c
15. caacb ⇒ aacc
16. ccaaccb ⇒ aaaacc
17. ccaaccacb ⇒ aaaaaacc
18. ccaaccacacb ⇒ aaaaaaaacc
19. ccaaccccaacccb ⇒ aacccaaaaaacc
20. ccaaccacacacb ⇒ aaaaaaaaaacc
...

Collecting factors up to length 5, frequency 2:

Length 2:[2/0] cc, [2/1] aa
Length 3:[3/0] cca, [3/1] aac
Length 4:[4/0] ccaa, [4/1] aacc

Considering [length 2 / frequency 0] cc=d.

Step 3

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. dc ⇒ cd
2. cc ⇒ d
3. aaca ⇒ caac
4. aadaad ⇒ daadac
5. aadaac ⇒ daada
6. aacdaad ⇒ ddaada
7. aacdaacd ⇒ ddaadac
8. daadaa ⇒ aacdaac
9. aacddaada ⇒ daaddaad
10. daadadaad ⇒ aadddaada
11. daadacaad ⇒ aaddaadac
12. daadacaac ⇒ aaddaada
13. aaaacdaac ⇒ daadacaa
14. daadacaaa ⇒ aaaaddaac
15. ab ⇒ c
16. daadb ⇒ aaaad
17. daacb ⇒ caad
18. caacb ⇒ aad
19. daadacb ⇒ aaaaaad
20. daadacacb ⇒ aaaaaaaad
...

Collecting factors up to length 3, frequency 2:

Length 2:[2/0] aa, [2/1] da

Considering [length 2 / frequency 0] aa=e.

Step 4

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. dc ⇒ cd
2. dec ⇒ ece
3. deece ⇒ ecded
4. deecded ⇒ ecddede
5. dedeec ⇒ ecdded
6. dedeeec ⇒ ecddded
7. cc ⇒ d
8. ecec ⇒ ded
9. eceec ⇒ dded
10. eceeec ⇒ ddded
11. eceeeec ⇒ dddded
12. eceeeeec ⇒ ddddded
13. ea ⇒ ae
14. deda ⇒ eece
15. eca ⇒ cec
16. aa ⇒ e
17. eb ⇒ ac
18. dedb ⇒ eed
19. cecb ⇒ ed
20. ab ⇒ c
...

Collecting factors up to length 3, frequency 2:

Length 2:[2/0] ec, [2/1] de

Considering [length 2 / frequency 0] ec=f.

Step 5

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. ded ⇒ ff
2. deff ⇒ fdfd
3. defdfd ⇒ fdfff
4. defdfff ⇒ fdffdfd
5. fe ⇒ df
6. fdfde ⇒ defdf
7. dc ⇒ cd
8. fc ⇒ ed
9. ec ⇒ f
10. cc ⇒ d
11. fa ⇒ cf
12. fdfda ⇒ deedf
13. ea ⇒ ae
14. aa ⇒ e
15. dfb ⇒ ced
16. ffb ⇒ eed
17. fdfdb ⇒ deeed
18. eb ⇒ ac
19. cfb ⇒ ed
20. ab ⇒ c
...

Collecting factors up to length 3, frequency 2:

Length 2:[2/0] fd, [2/1] de

Considering [length 2 / frequency 1] de=g.

Step 6

Rewriting system is complete. See a, b | abaaab=aaaba.