Morphocompletion for #4186 ⟨a, b, c | aab=1, abca=c⟩

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

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. ac ⇒ ca
2. cbaa ⇒ c
3. cbcaa ⇒ cc
4. cbccaa ⇒ ccc
5. cbcccaa ⇒ cccc
6. abc ⇒ cba
7. ccb ⇒ cbc
8. cab ⇒ cba
9. aab ⇒ 1
10. cbbaa ⇒ cb
11. cbbcaa ⇒ cbc
12. cbbccaa ⇒ cbcc
13. cbcb ⇒ cbbc
14. cbab ⇒ cbba
15. cbaba ⇒ cb
16. cbbbaa ⇒ cbb
17. cbbab ⇒ cbbba
18. cbbaba ⇒ cbb
...

Collecting factors up to length 4 / frequency 4:

[2/0]cb30lf:15,lp:13,ls:2,rf:12,rp:12,rs:2,re:2,lprp:9,lsrp:11,lprs:2,a:3
[2/1]aa18lf:9,lp:1,ls:8
[2/2]ab12lf:7,lp:1,ls:4
[2/3]ba11lf:9,ls:2,rf:4,rs:4,a:3
[3/0]cbb12lf:6,lp:6,rf:5,rp:5,rs:2,re:2,lprp:3,lprs:2,a:10
[3/1]caa10lf:5,ls:5,a:5
[3/2]cbc8lf:4,lp:4,rf:3,rp:3,rs:2,re:2,a:5
[3/3]bab6lf:4,ls:2,a:16

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

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. dc ⇒ cd
2. da ⇒ ad
3. cda ⇒ cad
4. ac ⇒ ca
5. aad ⇒ c
6. ada ⇒ c
7. dbc ⇒ dd
8. dbaa ⇒ d
9. ddb ⇒ dbd
10. cb ⇒ d
11. cdb ⇒ dd
12. cddb ⇒ ddd
13. abd ⇒ dba
14. abc ⇒ ad
15. abad ⇒ d
16. adb ⇒ abd
17. cab ⇒ ad
18. aab ⇒ 1
19. ababd ⇒ db
...

Collecting factors up to length 6 / frequency 3:

[2/0]ab13lf:7,lp:4,ls:2,rf:1,rp:1
[2/1]db12lf:6,lp:2,ls:4,rf:3,rp:3,rs:1,re:1,lsrp:10,a:11
[2/2]ad8lf:4,lp:2,ls:2,rf:4,rp:3,rs:4,re:3,a:4
[3/0]aba4lf:2,lp:2,a:18
[3/1]abd2lf:1,ls:1,rf:1,rp:1,rs:1,re:1,a:11
[3/2]ddb2lf:1,ls:1,a:15
[4/0]abab2lf:1,lp:1,a:21
[4/1]babd2lf:1,ls:1,a:21

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

Step 3

Rewriting system is complete. See ⟨a, b, c | aab=1, abca=c⟩.