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 (
    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, 12498, 
    13101, 13100, 10699, 10695, 10195, 
    10576, 10696, 9760, 10583, 10701, 10582, 
    10139, 12503, 10575, 9932, 10075, 10135, 
    9952
  ) 
  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 0.00146

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 (12520,12497,12528,12512,12511,12527,10580,10579,9936,9931,12521,12504,12502,12505,13099,12514,12513,9759,10496,10560,10561,10581,10102,9940,10578,10143,9947,10567,10568,10565,9933,12499,12500,10200,10201,10566,10545,10227,10552,12506,10693,12508,9953,12522,12507,12498,13101,13100,10699,10695,10195,10576,10696,9760,10583,10701,10582,10139,12503,10575,9932,10075,10135,9952) 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)"
    }
  }
}

Result

product_id seo_name seo_path
9759 podushka-dekorativnaya-erwin-ii-01-30h50 265/271/275
9760 product-9760 265/271/275
9931 product-9931 265/271/275
9932 product-9932 265/271/275
9933 product-9933 265/271/275
9936 product-9936 265/271/275
9940 podushka-dekorativnaya-esckimo-05-30h50 265/271/275
9947 product-9947 265/271/275
9952 podushka-dekorativnaya-respect-11-30h50 265/271/275
9953 product-9953 265/271/275
10075 podushka-dekorativnaya-respect-04-50h50 265/271/275
10102 podushka-dekorativnaya-esckimo-04-30h50 265/271/275
10135 product-10135 265/271/275
10139 podushka-dekorativnaya-persona-03-50h50 265/271/275
10143 product-10143 265/271/275
10195 podushka-dekorativnaya-magnifico-05-30h50 265/271/275
10200 podushka-dekorativnaya-impulse-i-01-30h50 265/271/275
10201 podushka-dekorativnaya-impulse-i-02-30h50 265/271/275
10227 podushka-dekorativnaya-inspiration-plain-03-30h50 265/271/275
10496 podushka-dekorativnaya-erwin-ii-03-30h50 265/271/275
10545 podushka-dekorativnaya-inspiration-03-50x50 265/271/275
10552 podushka-dekorativnaya-inspiration-plain-03-50x50 265/271/275
10560 podushka-dekorativnaya-erwin-ii-03-50x50 265/271/275
10561 podushka-dekorativnaya-erwin-ii-05-50x50 265/271/275
10565 podushka-dekorativnaya-flashback-03-45x45 265/271/275
10566 podushka-dekorativnaya-inspiration-03-45x45 265/271/275
10567 podushka-dekorativnaya-flashback-01-45x45 265/271/275
10568 podushka-dekorativnaya-flashback-02-45x45 265/271/275
10575 podushka-dekorativnaya-primo-05-30x50 265/271/275
10576 podushka-dekorativnaya-magnifico-plain-01-30x50 265/271/275
10578 product-10578 265/271/275
10579 podushka-dekorativnaya-bella-vita-06-30x50 265/271/275
10580 podushka-dekorativnaya-bella-vita-02-30x50 265/271/275
10581 podushka-dekorativnaya-esckimo-01-30x50 265/271/275
10582 podushka-dekorativnaya-mechta-18-30x50 265/271/275
10583 product-10583 265/271/275
10693 podushka-dekorativnaya-inspiration-plain-12-45x45 265/271/275
10695 product-10695 265/271/275
10696 product-10696 265/271/275
10699 product-10699 265/271/275
10701 product-10701 265/271/275
12497 podushka-dekorativnaya-akcent-01-30h50 265/271/275
12498 podushka-dekorativnaya-krasota-17-chernyy-kant-30h50 265/271/275
12499 podushka-dekorativnaya-impulse-03-30x50 265/271/275
12500 podushka-dekorativnaya-impulse-03-50x50 265/271/275
12502 podushka-dekorativnaya-desert-02-30h50 265/271/275
12503 podushka-dekorativnaya-persona-11-45h45 265/271/275
12504 podushka-dekorativnaya-desert-01-30h50 265/271/275
12505 podushka-dekorativnaya-desert-03-30h50 265/271/275
12506 podushka-dekorativnaya-inspiration-plain-11-45h45 265/271/275
12507 podushka-dekorativnaya-krasota-17-cherno-belyy-kant-50h50 265/271/275
12508 podushka-dekorativnaya-krasota-12-50h50 265/271/275
12511 podushka-dekorativnaya-aurora-02-ryzhiy-kant-50h50 265/271/275
12512 podushka-dekorativnaya-akcent-02-50h50 265/271/275
12513 podushka-dekorativnaya-empire-21-belyy-kant-30h50 265/271/275
12514 podushka-dekorativnaya-divo-04-belyy-kant-50h50 265/271/275
12520 podushka-dekorativnaya-akcent-01-belyy-kant-50h50 265/271/275
12521 podushka-dekorativnaya-del-vento-01-30h50 265/271/275
12522 podushka-dekorativnaya-krasota-17-cherno-belyy-kant-30h50 265/271/275
12527 podushka-dekorativnaya-aurora-02-seryy-kant-30h50 265/271/275
12528 podushka-dekorativnaya-akcent-02-30h50 265/271/275
13099 podushka-dekorativnaya-divo-04-belyy-kant-30h50 265/271/275
13100 podushka-dekorativnaya-les-01-30h50 265/271/275
13101 podushka-dekorativnaya-krasota-17-chernyy-kant-50h50 265/271/275