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    |   I |   J |   K |   L |
|-----:|:---------|:---------------------------------|:--------|:------------------------------------------|:----------|:----|:-----|----:|----:|----:|----:|
| 2460 | 134X9386 | 70-AC3L00314W05A221BM25-00057583 | VXS020  | VACON0020-3L-0031-4+EMC2+QPES             | VACON0020 | 3L  | 0031 |   3 |   0 |   0 |   3 |
| 2460 | 134X9586 | 70-AC3L00044W02A121BM25-00057197 | VXS020  | VACON0020-3L-0004-4+EMC2+QPES             | VACON0020 | 3L  | 0004 |  12 |   0 |   0 |  12 |
| 2460 | 134X9588 | DO NOT USE – WRONG CONFIGURATION | VXS100  | VACON0020-3L-0006-4+EMC2+QPES             | VACON0020 | 3L  | 0006 |  17 |   0 |   0 |  17 |
| 2460 | 134X9593 | 70-AC3L00234W04A221BM25-00057320 | VXS020  | VACON0020-3L-0023-4+EMC2+QPES             | VACON0020 | 3L  | 0023 |   2 |   0 |   0 |   2 |
| 2460 | 135N0320 | 7DL-000221-116MUP                | VXSNXLM | NXL00022-C1N0SSS-00                       | NXL00022- | 1N  | SSS- |   1 |   0 |   0 |   1 |
| 2460 | 135N0785 | 70-AB3L00165W05B220BM2H-00048557 | VXS100  | VACON0100-3L-0016-5-FLOW                  | VACON0100 | 3L  | 0016 |   1 |   0 |   0 |   1 |
| 2460 | 135N0961 | 70-AB3L00465W06B220BM2H-00049234 | VXS100  | VACON0100-3L-0046-5-FLOW                  | VACON0100 | 3L  | 0046 |   1 |   0 |   0 |   1 |
| 2460 | 135N1023 | 70-AB3L00875W07B220BM26-00049851 | VXS100  | VACON0100-3L-0087-5                       | VACON0100 | 3L  | 0087 |   2 |   0 |   0 |   2 |
| 2460 | 135N1025 | 70-AB3L00315W05B220BM2H-00049467 | VXS100  | VACON0100-3L-0031-5-FLOW                  | VACON0100 | 3L  | 0031 |   1 |   0 |   0 |   1 |
| 2460 | 135N1118 | MPNXP-0100-6A2L0-SSS-A1A2000000  | VXSAIR  | MPNXP01006A2L0SSSA1A2000000               | MPNXP0100 | A2  | 0SSS |   2 |   0 |   0 |   2 |
| 2460 | 135N1161 | 70-AC3L00384W05A221BM25-00057198 | VXS020  | VACON0020-3L-0038-4+EMC2+QPES             | VACON0020 | 3L  | 0038 |   1 |   0 |   0 |   1 |
| 2460 | 135N1221 | 70-AC3L00014W01A140BM25-00057148 | VXS020  | VACON0020-3L-0001-4                       | VACON0020 | 3L  | 0001 |  17 |   0 |   0 |  17 |
| 2460 | 135N1971 | MPNXA-0325-6A0T0-2SG-A1A2000000  | VXSCDC  | MPNXA03256A0T02SGA1A2000000               | MPNXA0325 | A0  | 02SG |   1 |   0 |   0 |   1 |
| 2460 | 135N2448 | 70-AB3L00095W04B220BM2H-00048097 | VXS100  | VACON0100-3L-0009-5-FLOW                  | VACON0100 | 3L  | 0009 |   1 |   0 |   0 |   1 |
| 2460 | 135N2458 | DO NOT USE - WRONG CONFIGURATION | VXS100  | VACON0100-3L-0012-5-FLOW+IP54             | VACON0100 | 3L  | 0012 |   2 |   0 |   0 |   2 |
| 2460 | 135N2959 | 70-AB3L00385W06B220BM2H-00049078 | VXS100  | VACON0100-3L-0038-5-FLOW                  | VACON0100 | 3L  | 0038 |   1 |   0 |   0 |   1 |
| 2460 | 135N2963 | DO NOT USE – WRONG CONFIGURATION | VXS100  | VACON0020-3L-0017-2                       | VACON0020 | 3L  | 0017 |   1 |   0 |   0 |   1 |
| 2460 | 135N3017 | 70-AB3L00465W06B221BM26-00049369 | VXS100  | VACON0100-3L-0046-5                       | VACON0100 | 3L  | 0046 |   1 |   0 |   0 |   1 |
| 2460 | 135N3474 | 70-AB3L00725W07B220BM2H-00050262 | VXS100  | VACON0100-3L-0072-5-FLOW                  | VACON0100 | 3L  | 0072 |   1 |   0 |   0 |   1 |
| 2460 | 135N3897 | MPNXP-0072-5A2H0-SSS-A1A2000000  | VXS100  | MPNXP00725A2H0SSSA1A2000000               | MPNXP0072 | A2  | 0SSS |   1 |   0 |   0 |   1 |
| 2460 | 135N3964 | 70-AC3L00024W01A140BM25-00056582 | VXS020  | VACON0020-3L-0002-4                       | VACON0020 | 3L  | 0002 |  24 |   0 |   0 |  24 |
| 2460 | 135N3979 | 70-AC3L00084W03A141BM25-00057151 | VXS020  | VACON0020-3L-0008-4                       | VACON0020 | 3L  | 0008 |  14 |   0 |   0 |  14 |
| 2460 | 135N4676 | 7DL-000151-116NCK                | VXSNXLM | NXL00015-C1N0SSS-00+DPAP                  | NXL00015- | 1N  | SSS- |   1 |   0 |   0 |   1 |
| 2460 | 135N4678 | 7DL-000351-116MR1                | VXSNXLM | NXL00035-C1N1SSS-00+DPAP                  | NXL00035- | 1N  | SSS- |   4 |   0 |   0 |   4 |
| 2460 | 135N4679 | 7DL-000351-116PYP                | VXSNXLM | NXL00035-C1N1SSS-AA+DPAP                  | NXL00035- | 1N  | SSS- |  62 |   0 |   0 |  62 |
| 2460 | 135N4702 | 7DL-000351-116PUH                | VXSNXLM | NXL00035-C1N1SSS-C3+DPAP                  | NXL00035- | 1N  | SSS- |   1 |   0 |   0 |   1 |
| 2460 | 135N4704 | 7DL-000352-116N89                | VXSNXLM | NXL00035-C2H1SSV-0000+DPAP                | NXL00035- | 2H  | SSV- |   1 |   0 |   0 |   1 |
| 2460 | 135N4705 | 7DL-000352-116PUY                | VXSNXLM | NXL00035-C2H1SSV-00AA+DPAP                | NXL00035- | 2H  | SSV- |   4 |   0 |   0 |   4 |
| 2460 | 135N4737 | 7DL-000551-116NUR                | VXSNXLM | NXL00055-C1N1SSS-00+DPAP                  | NXL00055- | 1N  | SSS- |   4 |   0 |   0 |   4 |
| 2460 | 135N4739 | 7DL-000552-116MY9                | VXSNXLM | NXL00055-C2H1SSV-0000+DPAP                | NXL00055- | 2H  | SSV- |  13 |   0 |   0 |  13 |
| 2460 | 135N4743 | 7DL-000752-116PXH                | VXSNXLM | NXL00075-C2H1SSV-00AA+DPAP                | NXL00075- | 2H  | SSV- |   6 |   0 |   0 |   6 |
| 2460 | 135N4748 | 7DL-001252-116Q1F                | VXSNXLM | NXL00125-C2H1SSV-0000+DPAP                | NXL00125- | 2H  | SSV- |   5 |   0 |   0 |   5 |
| 2460 | 135N4749 | 7DL-001252-116RAM                | VXSNXLM | NXL00125-C2H1SSV-00AA+DPAP                | NXL00125- | 2H  | SSV- |   6 |   0 |   0 |   6 |
| 2460 | 135N4752 | 7DL-001652-116PFT                | VXSNXLM | NXL00165-C2H1SSV-00AA+DPAP                | NXL00165- | 2H  | SSV- |   1 |   0 |   0 |   1 |
| 2460 | 135N4756 | 7DL-003152-116N4C                | VXSNXLM | NXL00315-C2H1SSV-0000+DPAP                | NXL00315- | 2H  | SSV- |   1 |   0 |   0 |   1 |
| 2460 | 135N4757 | 7DL-003152-116P1J                | VXSNXLM | NXL00315-C2H1SSV-00AA+DPAP                | NXL00315- | 2H  | SSV- |   5 |   0 |   0 |   5 |
| 2460 | 135N4761 | 70-AC1L00092W03A140BM25-00057138 | VXS020  | VACON0020-1L-0009-2                       | VACON0020 | 1L  | 0009 |   1 |   0 |   0 |   1 |
| 2460 | 135N4763 | 7DL-003852-116RAN                | VXSNXLM | NXL00385-C2H1SSV-00AA+DPAP                | NXL00385- | 2H  | SSV- |   0 |   0 |   0 |   0 |
| 2460 | 135N4771 | 7DL-004655-116MNU                | VXSNXLM | NXL00465-C5H1SSV-0000+DPAP                | NXL00465- | 5H  | SSV- |   1 |   0 |   0 |   1 |
| 2460 | 135N5112 | 70-AB3L00615W06B520BM2H-00049546 | VXS100  | VACON0100-3L-0061-5-FLOW+IP54             | VACON0100 | 3L  | 0061 |   2 |   0 |   1 |   1 |
| 2460 | 135N7749 | 7DL-000451-116PYC                | VXSNXLM | NXL00045-C1N1SSS-00+DPAP                  | NXL00045- | 1N  | SSS- |   2 |   0 |   0 |   2 |
| 2460 | 135N8005 | 7DL-000251-116P39                | VXSNXLM | NXL00025-C1N0SSS-00+DPAP                  | NXL00025- | 1N  | SSS- |   2 |   0 |   0 |   2 |
| 2460 | 135N8124 | 70-AB3L01402W08B220BM26-00050126 | VXS100  | VACON0100-3L-0140-2 MR08-0140-2+IP21+EMC2 | VACON0100 | 3L  | 0140 |   1 |   0 |   0 |   1 |
| 2460 | 135N8264 | SANXS-0003-5A2H1-SSV-A1A2000000  | VXSAIR  | SANXS00035A2H1SSVA1A2000000               | SANXS0003 | A2  | 1SSV |   3 |   0 |   0 |   3 |
| 2460 | 135N8390 | 70-AB3L00315W05B520BM4A-00048526 | VXS100  | VACON0100-3L-0031-5-HVAC+SBF4+IP54        | VACON0100 | 3L  | 0031 |   1 |   0 |   0 |   1 |
| 2460 | 135U1228 | 70-AB3L00615W06B220BM2H-00105499 | VXS100  | VACON0100-3L-0061-5-FLOW+SRBT+DPAP        | VACON0100 | 3L  | 0061 |   1 |   0 |   0 |   1 |
| 2460 | 135U1741 | SANXS-0261-5A2H0-SSG-A1A20000C5  | VXSAIR  | SANXS02615A2H0SSGA1A20000C5               | SANXS0261 | A2  | 0SSG |   1 |   0 |   0 |   1 |
| 2460 | 135U2030 | 70SCO00406                       | VXS020X | VACON0020-3L-0009-4-X+HMTX+QDSS           | VACON0020 | 3L  | 0009 |   2 |   0 |   0 |   2 |
| 2460 | 135U2720 | SANXS-0005-5A2H1-SSV-A9A2000000  | VXSAIR  | SANXS00055A2H1SSVA9A2000000               | SANXS0005 | A2  | 1SSV |   1 |   0 |   0 |   1 |
| 2460 | 135U2724 | SANXS-0168-5A2H1-SSV-A1B50000C3  | VXSAIR  | SANXS01685A2H1SSVA1B50000C3               | SANXS0168 | A2  | 1SSV |   2 |   0 |   0 |   2 |
| 2460 | 135U3673 | 70-AB3L00385W06B521BM26-00105937 | VXS100  | VACON0100-3L-0038-5+SCB1+SDB4+SEE3+IP54   | VACON0100 | 3L  | 0038 |   8 |   0 |   0 |   8 |
| 2460 | 135U3674 | 70-AB3L00235W05B521BM26-00106379 | VXS100  | VACON0100-3L-0023-5+SCB1+SDB4+SEE3+IP54   | VACON0100 | 3L  | 0023 |   1 |   0 |   0 |   1 |
| 2460 | 135U5463 | 70SCO01193                       | VXS020X | VACON0020-1L-0007-2-X+HMTX+QDSS           | VACON0020 | 1L  | 0007 |   2 |   0 |   0 |   2 |
| 2460 | 135U6706 | 70-AB3L00725W07B220BM26-00106876 | VXS100  | VACON0100-3L-0072-5+SRBT+HMTX+DPAP        | VACON0100 | 3L  | 0072 |   1 |   0 |   0 |   1 |
| 2460 | 135U8999 | MPNXP-0022-5A2H1-SSV-A1B5000000  | VXSAIR  | MPNXP00225A2H1SSVA1B5000000               | MPNXP0022 | A2  | 1SSV |   2 |   0 |   0 |   2 |
| 2460 | 135X3837 | 70-AB3L00315W05B221BM26-00016966 | VXS100  | VACON0100-3L-0031-5+HMTX                  | VACON0100 | 3L  | 0031 |   1 |   0 |   0 |   1 |
| 2460 | 135X5070 | 70-AB3L00125W04B221BM26-00014158 | VXS100  | VACON0100-3L-0012-5+HMTX                  | VACON0100 | 3L  | 0012 |   1 |   0 |   0 |   1 |
| 2460 | 135X5439 | MPNXP-0730-5A0N0-SSB-A1A2B4C2D2  | VXSAIR  | MPNXP07305A0N0SSBA1A2B4C2D2               | MPNXP0730 | A0  | 0SSB |   1 |   0 |   1 |   0 |
| 2460 | 135X6878 | 70-AB3L00165W05B221BM26-00081848 | VXS100  | VACON0100-3L-0016-5+HMTX                  | VACON0100 | 3L  | 0016 |   1 |   0 |   0 |   1 |
| 2460 | 135X6879 | 70-AB3L00235W05B221BM26-00016965 | VXS100  | VACON0100-3L-0023-5+HMTX                  | VACON0100 | 3L  | 0023 |   1 |   0 |   0 |   1 |
| 2460 | 135X6927 | MPNXP-0385-6A0N0-TSA-A1A200D2C3  | VXSAIR  | MPNXP03856A0N0TSAA1A200D2C3               | MPNXP0385 | A0  | 0TSA |   1 |   0 |   0 |   1 |
| 2460 | 135X9023 | 7DS-006155-116S8M                | VXSNXLM | NXS00615-A5T1SSV-A8A2B4B500               | NXS00615- | 5T  | SSV- |   1 |   0 |   0 |   1 |
| 2460 | 135X9188 | 7DS-000452-116SBL                | VXSNXLM | NXS00045-A2H1SSV-A1A2000000               | NXS00045- | 2H  | SSV- |   1 |   0 |   0 |   1 |
| 2460 | 136F1972 | 7DP-001252-116UDE                | VXSNXLM | NXP00125-A2H1SSV-A1A2000000               | NXP00125- | 2H  | SSV- |   1 |   0 |   0 |   1 |
| 2460 | 136F3083 | 7DS-002255-116UZR                | VXSNXLM | NXS00225-A5H1SSV-A1A2000000               | NXS00225- | 5H  | SSV- |   1 |   0 |   0 |   1 |
| 2460 | 136F3086 | 70-AC3L00054W02A121BM25-00058358 | VXS020  | VACON0020-3L-0005-4+EMC2+QPES+WT02        | VACON0020 | 3L  | 0005 |   2 |   0 |   0 |   2 |
| 2460 | 136F6415 | 70-AC3L00124W03A121BM25-00058362 | VXS020  | VACON0020-3L-0012-4+EMC2+QPES+WT02        | VACON0020 | 3L  | 0012 |   1 |   0 |   0 |   1 |
| 2460 | 136G3608 | 7DI-008752-116Y67                | VXSNXLM | NXI00875-A2T0CSS-A1A2000000               | NXI00875- | 2T  | CSS- |   1 |   0 |   0 |   1 |



label: L=I-J-K
labeled_formulas: L=I-J-K
output: {"Arithmetic-Relationship": ["L=I-J-K"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_390331___xlsx_ff140c55b34c8afb3f4a200c08bf51cd8a7635a2.xlsx___line_842