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             |
|:-----------|:----------|:------|------:|-------:|-------:|:--------------|
| Ananyiv    | October   | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | October   | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | November  | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | November  | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | December  | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | December  | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | January   | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | January   | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | February  | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | February  | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | March     | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | March     | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | April     | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | April     | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | May       | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | May       | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | June      | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | June      | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | July      | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | July      | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | August    | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | August    | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Ananyiv    | September | Exit  |  7.9  |  7.9   |  0     | Firm          |
| Ananyiv    | September | Exit  | 16.1  | 16.1   |  0     | Interruptible |
| Oleksiivka | October   | Exit  |  7.9  |  6.1   |  1.8   | Firm          |
| Oleksiivka | October   | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | November  | Exit  |  7.9  |  3.6   |  4.3   | Firm          |
| Oleksiivka | November  | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | December  | Exit  |  7.9  |  1.2   |  6.7   | Firm          |
| Oleksiivka | December  | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | January   | Exit  |  7.9  |  3.34  |  4.56  | Firm          |
| Oleksiivka | January   | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | February  | Exit  |  7.9  |  3     |  4.9   | Firm          |
| Oleksiivka | February  | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | March     | Exit  |  7.9  |  4.59  |  3.31  | Firm          |
| Oleksiivka | March     | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | April     | Exit  |  7.9  |  5.6   |  2.3   | Firm          |
| Oleksiivka | April     | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | May       | Exit  |  7.9  |  6.44  |  1.46  | Firm          |
| Oleksiivka | May       | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | June      | Exit  |  7.9  |  6.6   |  1.3   | Firm          |
| Oleksiivka | June      | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | July      | Exit  |  7.9  |  6.6   |  1.3   | Firm          |
| Oleksiivka | July      | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | August    | Exit  |  7.9  |  6.6   |  1.3   | Firm          |
| Oleksiivka | August    | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Oleksiivka | September | Exit  |  7.9  |  6.6   |  1.3   | Firm          |
| Oleksiivka | September | Exit  |  2.2  |  2.2   |  0     | Interruptible |
| Grebeniki  | October   | Exit  | 36    | 25.08  | 10.92  | Firm          |
| Grebeniki  | October   | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | November  | Exit  | 36    | 21.83  | 14.17  | Firm          |
| Grebeniki  | November  | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | December  | Exit  | 36    | 23.1   | 12.9   | Firm          |
| Grebeniki  | December  | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | January   | Exit  | 36    | 19.96  | 16.04  | Firm          |
| Grebeniki  | January   | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | February  | Exit  | 36    | 20.26  | 15.74  | Firm          |
| Grebeniki  | February  | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | March     | Exit  | 36    | 26.19  |  9.81  | Firm          |
| Grebeniki  | March     | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | April     | Exit  | 36    | 30.47  |  5.53  | Firm          |
| Grebeniki  | April     | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | May       | Exit  | 36    | 31.3   |  4.7   | Firm          |
| Grebeniki  | May       | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | June      | Exit  | 36    | 31.2   |  4.8   | Firm          |
| Grebeniki  | June      | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | July      | Exit  | 36    | 31.01  |  4.99  | Firm          |
| Grebeniki  | July      | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | August    | Exit  | 36    | 30.8   |  5.2   | Firm          |
| Grebeniki  | August    | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | September | Exit  | 36    | 31.3   |  4.7   | Firm          |
| Grebeniki  | September | Exit  | 62.4  | 62.4   |  0     | Interruptible |
| Grebeniki  | October   | Entry |  3.96 |  2.347 |  1.613 | Firm          |
| Grebeniki  | October   | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | November  | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | November  | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | December  | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | December  | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | January   | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | January   | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | February  | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | February  | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | March     | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | March     | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | April     | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | April     | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | May       | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | May       | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | June      | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | June      | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | July      | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | July      | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | August    | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | August    | Entry |  0    |  0     |  0     | Interruptible |
| Grebeniki  | September | Entry |  3.96 |  3.96  |  0     | Firm          |
| Grebeniki  | September | Entry |  0    |  0     |  0     | Interruptible |
| Kausany    | October   | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | October   | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | November  | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | November  | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | December  | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | December  | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | January   | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | January   | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | February  | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | February  | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | March     | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | March     | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | April     | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | April     | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | May       | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | May       | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | June      | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | June      | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | July      | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | July      | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | August    | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | August    | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | September | Exit  | 12    | 12     |  0     | Firm*         |
| Kausany    | September | Exit  |  3.8  |  3.8   |  0     | Interruptible |
| Kausany    | October   | Entry | 36    | 32.98  |  3.02  | Firm*         |
| Kausany    | October   | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | November  | Entry | 36    | 30     |  6     | Firm*         |
| Kausany    | November  | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | December  | Entry | 36    | 29.65  |  6.35  | Firm*         |
| Kausany    | December  | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | January   | Entry | 36    | 29.635 |  6.365 | Firm*         |
| Kausany    | January   | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | February  | Entry | 36    | 29.635 |  6.365 | Firm*         |
| Kausany    | February  | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | March     | Entry | 36    | 32.74  |  3.26  | Firm*         |
| Kausany    | March     | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | April     | Entry | 36    | 35.67  |  0.33  | Firm*         |
| Kausany    | April     | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | May       | Entry | 36    | 35.7   |  0.3   | Firm*         |
| Kausany    | May       | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | June      | Entry | 36    | 35.88  |  0.12  | Firm*         |
| Kausany    | June      | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | July      | Entry | 36    | 35.88  |  0.12  | Firm*         |
| Kausany    | July      | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | August    | Entry | 36    | 35.88  |  0.12  | Firm*         |
| Kausany    | August    | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Kausany    | September | Entry | 36    | 35.88  |  0.12  | Firm*         |
| Kausany    | September | Entry | 62.4  | 62.4   |  0     | Interruptible |
| Limanskoe  | October   | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | October   | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | November  | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | November  | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | December  | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | December  | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | January   | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | January   | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | February  | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | February  | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | March     | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | March     | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | April     | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | April     | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | May       | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | May       | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | June      | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | June      | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | July      | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | July      | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | August    | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | August    | Exit  |  0.72 |  0.72  |  0     | Interruptible |
| Limanskoe  | September | Exit  |  0    |  0     |  0     | Firm          |
| Limanskoe  | September | Exit  |  0.72 |  0.72  |  0     | Interruptible |



label: E=D-F
labeled_formulas: E=D-F
output: {"Arithmetic-Relationship": ["E=D-F"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_362287___xlsx_489eb70883819981eb4585a082e85320ea7bc763.xlsx___line_149