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:
|   CD |   CE |   CF |   CG |   CH |   CI |   CJ |   CK |   CL |   CM |
|-----:|-----:|-----:|-----:|-----:|-----:|-----:|-----:|-----:|-----:|
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    0 |    1 |    0 |    1 |   16 |
|    0 |    3 |   10 |    2 |   12 |    1 |    1 |    0 |    1 |   17 |
|    0 |    3 |   10 |    2 |   12 |    1 |    1 |    0 |    1 |   17 |
|    0 |    3 |   10 |    2 |   12 |    1 |    1 |    0 |    1 |   17 |
|    0 |    3 |   10 |    2 |   12 |    1 |    1 |    0 |    1 |   17 |
|    0 |    3 |   10 |    2 |   12 |    1 |    1 |    0 |    1 |   17 |
|    0 |    3 |   10 |    2 |   12 |    1 |    1 |    0 |    1 |   17 |
|    0 |    3 |   10 |    2 |   12 |    2 |    1 |    0 |    1 |   18 |
|    0 |    3 |   10 |    2 |   12 |    2 |    1 |    0 |    1 |   18 |
|    0 |    3 |   10 |    2 |   12 |    4 |    1 |    0 |    1 |   20 |
|    0 |    3 |   10 |    2 |   12 |    5 |    1 |    0 |    1 |   21 |
|    0 |    3 |   10 |    2 |   12 |    5 |    1 |    0 |    1 |   21 |
|    0 |    3 |   10 |    2 |   12 |    7 |    1 |    0 |    1 |   23 |
|    0 |    3 |   10 |    2 |   12 |    8 |    1 |    0 |    1 |   24 |
|    0 |    3 |   10 |    2 |   12 |    8 |    1 |    0 |    1 |   24 |
|    0 |    3 |   10 |    2 |   12 |    8 |    1 |    0 |    1 |   24 |
|    0 |    3 |   10 |    2 |   12 |    9 |    1 |    0 |    1 |   25 |
|    0 |    3 |   10 |    2 |   12 |    9 |    1 |    0 |    1 |   25 |
|    0 |    3 |   10 |    2 |   12 |    9 |    1 |    0 |    1 |   25 |
|    0 |    3 |   10 |    2 |   12 |    9 |    1 |    0 |    1 |   25 |
|    0 |    3 |   11 |    2 |   13 |   10 |    1 |    0 |    1 |   27 |
|    0 |    3 |   12 |    2 |   14 |   11 |    1 |    0 |    1 |   29 |
|    1 |    3 |   12 |    2 |   14 |   11 |    1 |    0 |    1 |   30 |
|    1 |    3 |   12 |    2 |   14 |   11 |    1 |    0 |    1 |   30 |
|    1 |    3 |   12 |    2 |   14 |   11 |    1 |    0 |    1 |   30 |
|    1 |    3 |   12 |    2 |   14 |   11 |    1 |    0 |    1 |   30 |
|    1 |    3 |   12 |    2 |   14 |   11 |    1 |    0 |    1 |   30 |
|    1 |    3 |   12 |    2 |   14 |   11 |    1 |    0 |    1 |   30 |
|    1 |    3 |   12 |    2 |   14 |   11 |    1 |    0 |    1 |   30 |
|    1 |    3 |   12 |    2 |   14 |   15 |    1 |    0 |    1 |   34 |
|    1 |    3 |   12 |    2 |   14 |   16 |    1 |    0 |    1 |   35 |
|    1 |    3 |   12 |    2 |   14 |   16 |    1 |    0 |    1 |   35 |
|    1 |    3 |   12 |    2 |   14 |   16 |    1 |    0 |    1 |   35 |
|    1 |    3 |   12 |    2 |   14 |   16 |    1 |    0 |    1 |   35 |
|    1 |    3 |   12 |    2 |   14 |   16 |    1 |    0 |    1 |   35 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    1 |    0 |    1 |   36 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    2 |   14 |   17 |    2 |    0 |    2 |   37 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    0 |    2 |   38 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    1 |    3 |   39 |
|    1 |    3 |   12 |    3 |   15 |   17 |    2 |    1 |    3 |   39 |
|    1 |    3 |   12 |    3 |   15 |   18 |    2 |    1 |    3 |   40 |
|    1 |    3 |   12 |    3 |   15 |   18 |    2 |    1 |    3 |   40 |
|    1 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   41 |
|    1 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   41 |
|    1 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   41 |
|    1 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   41 |
|    1 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   41 |
|    2 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   42 |
|    2 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   42 |
|    2 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   42 |
|    2 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   42 |
|    2 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   42 |
|    2 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   42 |
|    2 |    3 |   13 |    3 |   16 |   18 |    2 |    1 |    3 |   42 |
|    2 |    3 |   14 |    3 |   17 |   18 |    2 |    1 |    3 |   43 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    1 |    3 |   45 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    3 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   46 |
|    2 |    6 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   49 |
|    2 |    7 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   50 |
|    2 |    8 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   51 |
|    2 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   53 |
|    2 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   53 |
|    2 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   53 |
|    2 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   53 |
|    2 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   53 |
|    2 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   53 |
|    2 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   53 |
|    2 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   53 |
|    4 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   55 |
|    4 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   55 |
|    4 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   55 |
|    4 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   55 |
|    7 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   58 |
|    7 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   58 |
|    8 |   10 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   59 |
|   10 |   11 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   62 |
|   11 |   11 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   63 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   12 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   65 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |
|   13 |   12 |   14 |    5 |   19 |   18 |    2 |    2 |    4 |   66 |



label: CG=CH-CF
CL=CJ+CK
labeled_formulas: CG=CH-CF
CL=CJ+CK
output: {"Arithmetic-Relationship": ["CG=CH-CF", "CL=CJ+CK"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_205479___xlsx_fb4348457d700fea0faafb37f41a851462bc2913.xlsx___line_707