Task: Arithmetic-Relationship (source dataset: Auto-Relate)

You are given a table with numerical values in multiple columns. Your task is to analyze the data and identify semantic relationships, expressed in arithmetic relationships, that exist between columns.

These relationships may involve any combination of the following operations: addition (+), subtraction (−), multiplication (*), and division (/). The expressions can involve two or more columns and may be nested (e.g., B = (A + C) / D).

Please only identify arithmetic relationships that hold semantically based on the data, and do not return relationships that are likely spurious, e.g., (A = B * 0), where A is an all 0 column. Please only return minimal atomic relationships, e.g., if A = B + C and D = E + F, then there is no need to return A = B + C + E + F - D.

No explanation, return all the formula(s) in JSON format: {"Arithmetic-Relationship": [<list-of-formulas>]}. If no relationship is found, return {"Arithmetic-Relationship": []}.

Input Table:
|    A | B   | C                                                  |    D |   E |    F |        G |          H |
|-----:|:----|:---------------------------------------------------|-----:|----:|-----:|---------:|-----------:|
| 2020 | Q4  | ACCIDENT FUND INSURANCE CO OF AMERICA              | 5158 |  36 | 5194 | 0.993069 | 0.00693107 |
| 2020 | Q4  | ACIC                                               |   62 |   0 |   62 | 1        | 0          |
| 2020 | Q4  | Actec Systems, Inc                                 |    3 |   0 |    3 | 1        | 0          |
| 2020 | Q4  | ACUITY A MUTUAL INSURANCE CO                       |   91 |   0 |   91 | 1        | 0          |
| 2020 | Q4  | Adventis Health System Sunbelt Healtcare Corp.     |   30 |   2 |   32 | 0.9375   | 0.0625     |
| 2020 | Q4  | AIG Claims Inc                                     |  132 |   4 |  136 | 0.970588 | 0.0294118  |
| 2020 | Q4  | Alternative Service Concepts                       |    2 |   0 |    2 | 1        | 0          |
| 2020 | Q4  | American Claims Management                         |    6 |   0 |    6 | 1        | 0          |
| 2020 | Q4  | AMERICAN INTERSTATE INS CO                         |   94 |   1 |   95 | 0.989474 | 0.0105263  |
| 2020 | Q4  | Amerisure Insurance Company                        |  275 |   1 |  276 | 0.996377 | 0.00362319 |
| 2020 | Q4  | AmGUARD                                            | 1669 | 149 | 1818 | 0.918042 | 0.0819582  |
| 2020 | Q4  | Amtrust North America                              |   78 |   2 |   80 | 0.975    | 0.025      |
| 2020 | Q4  | Argonaut Insurance Company                         |  226 |  18 |  244 | 0.92623  | 0.0737705  |
| 2020 | Q4  | Atlantic Specialty Insurance Company               |    3 |   0 |    3 | 1        | 0          |
| 2020 | Q4  | AUTO OWNERS INSURANCE COMPANY                      |   31 |   1 |   32 | 0.96875  | 0.03125    |
| 2020 | Q4  | BCIC                                               |    1 |   1 |    2 | 0.5      | 0.5        |
| 2020 | Q4  | Benchmark Administrators                           |    4 |   0 |    4 | 1        | 0          |
| 2020 | Q4  | Berkley Nat'l Ins Co formerly Berkley Agribus RIsk |    3 |   0 |    3 | 1        | 0          |
| 2020 | Q4  | Berkley Net Underwriters                           |   10 |   8 |   18 | 0.555556 | 0.444444   |
| 2020 | Q4  | Berkley Tech - Amercan Mining Claims Srvcs         |    6 |   0 |    6 | 1        | 0          |
| 2020 | Q4  | BITCO General Insurance                            |   37 |   4 |   41 | 0.902439 | 0.097561   |
| 2020 | Q4  | Brentwood                                          |   76 |   0 |   76 | 1        | 0          |
| 2020 | Q4  | BrickStreet Mutual Insurance Company               |   18 |   0 |   18 | 1        | 0          |
| 2020 | Q4  | BROADSPIRE SERVICES                                |  820 |  11 |  831 | 0.986763 | 0.0132371  |
| 2020 | Q4  | BROTHERHOOD MUTUAL INSURANCE COMPANY               |    5 |   0 |    5 | 1        | 0          |
| 2020 | Q4  | CBCS                                               |  172 |   3 |  175 | 0.982857 | 0.0171429  |
| 2020 | Q4  | CCMSI                                              |  642 |  12 |  654 | 0.981651 | 0.0183486  |
| 2020 | Q4  | Chesterfield Services Inc                          |    2 |   0 |    2 | 1        | 0          |
| 2020 | Q4  | Chubb and Sons                                     |   80 |   1 |   81 | 0.987654 | 0.0123457  |
| 2020 | Q4  | Church Mutual Insurance Company S. I.              |   61 |   1 |   62 | 0.983871 | 0.016129   |
| 2020 | Q4  | City of Wichita                                    |  119 |   5 |  124 | 0.959677 | 0.0403226  |
| 2020 | Q4  | Claims Administrative Services                     |    3 |   0 |    3 | 1        | 0          |
| 2020 | Q4  | Columbia Ins Grp                                   |   18 |   0 |   18 | 1        | 0          |
| 2020 | Q4  | Continental Casualty Company                       |  504 |  35 |  539 | 0.935065 | 0.0649351  |
| 2020 | Q4  | CONTINENTAL NATL INDEMNITY CO                      |    3 |   0 |    3 | 1        | 0          |
| 2020 | Q4  | Continental Western Insurance Company              |   60 |   3 |   63 | 0.952381 | 0.047619   |
| 2020 | Q4  | CorVel Enterprise Comp                             |  192 |  11 |  203 | 0.945813 | 0.0541872  |
| 2020 | Q4  | Cowell Insurance Service Inc                       |  203 |  24 |  227 | 0.894273 | 0.105727   |
| 2020 | Q4  | Dollar General Corporation                         |   22 |   0 |   22 | 1        | 0          |
| 2020 | Q4  | EMC RISK SERVICES LLC                              |   42 |   3 |   45 | 0.933333 | 0.0666667  |
| 2020 | Q4  | EMPLOYERS MUTUAL CASUALTY COMPANY                  |  344 |  46 |  390 | 0.882051 | 0.117949   |
| 2020 | Q4  | Employers Preferred Insurance Company              |   71 |   0 |   71 | 1        | 0          |
| 2020 | Q4  | Enstar US                                          |    5 |   1 |    6 | 0.833333 | 0.166667   |
| 2020 | Q4  | ESIS                                               |  394 |   6 |  400 | 0.985    | 0.015      |
| 2020 | Q4  | Farm Bureau Property and Casualty Insurance Compan |   31 |   0 |   31 | 1        | 0          |
| 2020 | Q4  | FARMERS INSURANCE GROUP                            |   49 |   9 |   58 | 0.844828 | 0.155172   |
| 2020 | Q4  | Federated Mutual Insurance Company                 |  458 |   5 |  463 | 0.989201 | 0.0107991  |
| 2020 | Q4  | FEDERATED RURAL ELECTRIC INSURANCE                 |   45 |   5 |   50 | 0.9      | 0.1        |
| 2020 | Q4  | Gallagher Bassett Services Inc                     | 4924 |  30 | 4954 | 0.993944 | 0.00605571 |
| 2020 | Q4  | Great American Insurance Company                   |   31 |   1 |   32 | 0.96875  | 0.03125    |
| 2020 | Q4  | Great Divide Insurance Co                          |   28 |   0 |   28 | 1        | 0          |
| 2020 | Q4  | GUIDE ONE ELITE INSURANCE CO                       |    1 |   0 |    1 | 1        | 0          |
| 2020 | Q4  | GuideOne Mutual Insurance Company                  |   43 |   4 |   47 | 0.914894 | 0.0851064  |
| 2020 | Q4  | Hanover Insurance Company                          |   31 |   0 |   31 | 1        | 0          |
| 2020 | Q4  | HARLEYVILLE INSURANCE COMPANY                      |    1 |   0 |    1 | 1        | 0          |
| 2020 | Q4  | Hartford Fire Insurance Company                    | 1144 |   8 | 1152 | 0.993056 | 0.00694444 |
| 2020 | Q4  | HT - CINCINNATI INSURANCE CO                       |   71 |  10 |   81 | 0.876543 | 0.123457   |
| 2020 | Q4  | Illinois Casualty Company - Mitchell               |    1 |   0 |    1 | 1        | 0          |
| 2020 | Q4  | Kansas Building Industry Workers Compensation Fund |  194 |  20 |  214 | 0.906542 | 0.0934579  |
| 2020 | Q4  | Kansas Restaurant and Hospitality Association      |  132 |   8 |  140 | 0.942857 | 0.0571429  |
| 2020 | Q4  | KASB WORKERS COMPENSATION FUND, INC                |  226 |   2 |  228 | 0.991228 | 0.00877193 |
| 2020 | Q4  | LIBERTY MUTUAL GRP & HELMSMAN MGMT                 | 6103 |  98 | 6201 | 0.984196 | 0.0158039  |
| 2020 | Q4  | MARKEL SERVICE INCORPORATED                        |  470 |  27 |  497 | 0.945674 | 0.054326   |
| 2020 | Q4  | Matrix Absence Management Inc                      |   21 |   0 |   21 | 1        | 0          |
| 2020 | Q4  | MEADOWBROOK INC                                    |   10 |   0 |   10 | 1        | 0          |
| 2020 | Q4  | MERIDIAN SECURITY INSURANCE COMPANY                |   17 |   2 |   19 | 0.894737 | 0.105263   |
| 2020 | Q4  | Midwest Builders Casualty Mutual Company           |  727 |   0 |  727 | 1        | 0          |
| 2020 | Q4  | Midwest Family Mutual                              |   22 |   1 |   23 | 0.956522 | 0.0434783  |
| 2020 | Q4  | Midwest Insurance Company                          |  518 |  99 |  617 | 0.839546 | 0.160454   |
| 2020 | Q4  | Midwestern Insurance Alliance Inc                  |   10 |  11 |   21 | 0.47619  | 0.52381    |
| 2020 | Q4  | Missouri Employers Mutual                          |  288 |  46 |  334 | 0.862275 | 0.137725   |
| 2020 | Q4  | Mitsui Sumitomo Insurance Company                  |   16 |   0 |   16 | 1        | 0          |
| 2020 | Q4  | NATIONAL AMERICAN INSURANCE CO                     |   51 |   0 |   51 | 1        | 0          |
| 2020 | Q4  | National Interstate Insurance Co                   |   48 |   0 |   48 | 1        | 0          |
| 2020 | Q4  | Nationwide Agribusiness ISO                        |  869 |  22 |  891 | 0.975309 | 0.0246914  |
| 2020 | Q4  | Nationwide Insurance Company                       |  663 |  34 |  697 | 0.95122  | 0.0487805  |
| 2020 | Q4  | Nationwide National Casualty Co ISO                |   14 |   0 |   14 | 1        | 0          |
| 2020 | Q4  | Next Level Administrators                          |   14 |   0 |   14 | 1        | 0          |
| 2020 | Q4  | North American Risk Services                       |   15 |   0 |   15 | 1        | 0          |
| 2020 | Q4  | Penn Millers Insurance Co                          |    7 |   0 |    7 | 1        | 0          |
| 2020 | Q4  | Protective Insurance Company                       |   14 |   3 |   17 | 0.823529 | 0.176471   |
| 2020 | Q4  | QuikTrip Corporation                               |   25 |   0 |   25 | 1        | 0          |
| 2020 | Q4  | Risk Administration Services                       |  259 |  26 |  285 | 0.908772 | 0.0912281  |
| 2020 | Q4  | Risk Enterprise Management                         |  413 |  13 |  426 | 0.969484 | 0.0305164  |
| 2020 | Q4  | Roes-Great West Casualty Company                   |   13 |   0 |   13 | 1        | 0          |
| 2020 | Q4  | ROES - CREATIVE RISK SOLUTIONS                     |   14 |   4 |   18 | 0.777778 | 0.222222   |
| 2020 | Q4  | Seabright Insurance Company                        |    3 |   2 |    5 | 0.6      | 0.4        |
| 2020 | Q4  | Secura Insurance                                   |   10 |   0 |   10 | 1        | 0          |
| 2020 | Q4  | SEDGWICK CMS INC                                   | 2661 | 344 | 3005 | 0.885524 | 0.114476   |
| 2020 | Q4  | SEDGWICK COUNTY                                    |   76 |   0 |   76 | 1        | 0          |
| 2020 | Q4  | Sentry Insurance                                   |  340 |   4 |  344 | 0.988372 | 0.0116279  |
| 2020 | Q4  | STATE AUTO PROPERTY & CASUALTY INSURANCE COMPANY   |   25 |   0 |   25 | 1        | 0          |
| 2020 | Q4  | STATE AUTOMOBILE MUTUAL INSURANCE COMPANY          |   27 |   0 |   27 | 1        | 0          |
| 2020 | Q4  | State Self Ins Fund/KPHA                           | 1382 |  35 | 1417 | 0.9753   | 0.0247001  |
| 2020 | Q4  | Stonewood Insurance Management                     |   26 |   4 |   30 | 0.866667 | 0.133333   |
| 2020 | Q4  | Systema - BHHC                                     |  527 |   4 |  531 | 0.992467 | 0.00753296 |
| 2020 | Q4  | Thomas McGee                                       |  651 |   6 |  657 | 0.990868 | 0.00913242 |
| 2020 | Q4  | Travelers                                          | 6382 | 301 | 6683 | 0.95496  | 0.0450397  |
| 2020 | Q4  | Triangle Insurance Company                         |   30 |   1 |   31 | 0.967742 | 0.0322581  |
| 2020 | Q4  | Tyson Fresh Meats, Inc.                            |  133 |   3 |  136 | 0.977941 | 0.0220588  |
| 2020 | Q4  | UNDERWRITERS SAFETY AND CLAIMS                     |    1 |   0 |    1 | 1        | 0          |
| 2020 | Q4  | Unified School District 259                        |  115 |   0 |  115 | 1        | 0          |
| 2020 | Q4  | Union Standard Insurance                           |    3 |   0 |    3 | 1        | 0          |
| 2020 | Q4  | United Fire & Casualty                             |   26 |   0 |   26 | 1        | 0          |
| 2020 | Q4  | United States Fire Insurance Company               |    5 |   0 |    5 | 1        | 0          |
| 2020 | Q4  | United Wisconsin Insurance Co                      |   16 |   3 |   19 | 0.842105 | 0.157895   |
| 2020 | Q4  | Vanliner Insurance                                 |   10 |   0 |   10 | 1        | 0          |
| 2020 | Q4  | Walmart Claims Services, Inc.  formerly aka Claims |  329 |  21 |  350 | 0.94     | 0.06       |
| 2020 | Q4  | West Bend Mutual Insurance                         |   16 |   0 |   16 | 1        | 0          |
| 2020 | Q4  | York Risk Services Group                           |  478 |   8 |  486 | 0.983539 | 0.0164609  |
| 2020 | Q4  | Zenith National Insurance Company                  |   39 |   0 |   39 | 1        | 0          |
| 2020 | Q4  | Zurich American Insurance Company                  |  938 |  27 |  965 | 0.972021 | 0.0279793  |



label: G=D/F
H=E/F
labeled_formulas: G=D/F
H=E/F
output: {"Arithmetic-Relationship": ["G=D/F", "H=E/F"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_288474___xlsx_bf9672df605765d3f726c78edb89eea474997913.xlsx___line_635