SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    15943, 15951, 15952, 15956, 15958, 15959, 
    15944, 15960, 15961, 15962, 15966, 
    15957, 15965, 15945, 15968, 15946, 
    15947, 15949, 15950, 12520, 12497, 
    12528, 12512, 12511, 12527, 10580, 
    10579, 9936, 9931, 12521, 12504, 12502, 
    12505, 13099, 12514, 12513, 9759, 10496, 
    10560, 10561, 10581, 10102, 9940, 10578, 
    10143, 9947, 10567, 10568, 10565, 9933, 
    12499, 12500, 10200, 10201, 10566, 
    10545, 10227, 10552, 12506, 10693, 
    12508, 9953, 12522, 12507
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00180

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 128,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (15943,15951,15952,15956,15958,15959,15944,15960,15961,15962,15966,15957,15965,15945,15968,15946,15947,15949,15950,12520,12497,12528,12512,12511,12527,10580,10579,9936,9931,12521,12504,12502,12505,13099,12514,12513,9759,10496,10560,10561,10581,10102,9940,10578,10143,9947,10567,10568,10565,9933,12499,12500,10200,10201,10566,10545,10227,10552,12506,10693,12508,9953,12522,12507) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}