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 (
    10556, 10101, 10558, 10142, 10134, 10141, 
    10053, 10138, 10130, 9934, 10563, 10569, 
    10572, 10602, 10603, 10137, 12517, 
    12531, 12526, 12509, 10226, 10551, 
    10550, 10193, 10659, 10664, 10666, 
    10661, 10663, 10190, 10657, 10658, 
    10194, 10692, 12530, 12516, 12496, 
    12519, 12510, 10087, 10100, 10698, 
    10478, 9883, 9901, 10493, 10485, 10476, 
    10479, 10494, 10492, 10468, 9903, 10487, 
    9899, 10473, 10486, 9881, 9896, 9892, 
    10481, 9876, 10474, 10491
  ) 
  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 0.00238

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 (10556,10101,10558,10142,10134,10141,10053,10138,10130,9934,10563,10569,10572,10602,10603,10137,12517,12531,12526,12509,10226,10551,10550,10193,10659,10664,10666,10661,10663,10190,10657,10658,10194,10692,12530,12516,12496,12519,12510,10087,10100,10698,10478,9883,9901,10493,10485,10476,10479,10494,10492,10468,9903,10487,9899,10473,10486,9881,9896,9892,10481,9876,10474,10491) 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
9876 romantika-izumrudnye-holmy-col-270 265/280/286/327
9881 romantika-zhemchuzhnyy-bereg-col-07 265/280/286/327
9883 romantika-aromatnaya-pudra-col-61 265/280/286/327
9892 romantika-zelenyy-chay-col-42 265/280/286/327
9896 romantika-zvezdnaya-noch-col-53 265/280/286/327
9899 romantika-dushistaya-lavanda-col-86 265/280/286/327
9901 romantika-barhatnyy-iris-col-98 265/280/286/327
9903 romantika-granatovyy-zakat-col-89 265/280/286/327
9934 product-9934 265/271/275
10053 product-10053 265/271/275
10087 product-10087 265/271/275
10100 podushka-dekorativnaya-romantika-52-30h50 265/271/275
10101 podushka-dekorativnaya-salon-06-30h50 265/271/275
10130 product-10130 265/271/275
10134 podushka-dekorativnaya-simmetrika-i-01-45x45 265/271/275
10137 podushka-dekorativnaya-target-soft-04-45x45 265/271/275
10138 product-10138 265/271/275
10141 podushka-dekorativnaya-simmetrika-i-02-v-50h50 265/271/275
10142 product-10142 265/271/275
10190 podushka-dekorativnaya-garmoniya-grafika-07-30h50 265/271/275
10193 podushka-dekorativnaya-garmoniya-bukle-05-30h50 265/271/275
10194 podushka-dekorativnaya-garmoniya-grafika-09-30h50 265/271/275
10226 podushka-dekorativnaya-winnie-02-30h50 265/271/275
10468 romantika-gornye-vershiny-col-504 265/280/286/327
10473 romantika-dymchataya-orhideya-col-509 265/280/286/327
10474 romantika-ispanskaya-villa-col-510 265/280/286/327
10476 romantika-bryzgi-priboya-col-512 265/280/286/327
10478 romantika-antichnaya-moneta-col-514 265/280/286/327
10479 romantika-vanilnyy-krem-col-515 265/280/286/327
10481 romantika-zybuchie-peski-col-517 265/280/286/327
10485 romantika-bodryaschiy-kofe-col-520 265/280/286/327
10486 romantika-zharenyy-kashtan-col-522 265/280/286/327
10487 romantika-dikiy-kiparis-col-523 265/280/286/327
10491 romantika-korolevskaya-siren-col-527 265/280/286/327
10492 romantika-glubokoe-ozero-col-528 265/280/286/327
10493 romantika-blagorodnyy-sapfir-col-529 265/280/286/327
10494 romantika-virtualnoe-puteshestvie-col-530 265/280/286/327
10550 podushka-dekorativnaya-winnie-03-50x50 265/271/275
10551 podushka-dekorativnaya-winnie-02-50x50 265/271/275
10556 podushka-dekorativnaya-salon-04-50x50 265/271/275
10558 podushka-dekorativnaya-salon-06-50x50 265/271/275
10563 product-10563 265/271/275
10569 podushka-dekorativnaya-swiss-velvet-10-45x45 265/271/275
10572 product-10572 265/271/275
10602 product-10602 265/271/275
10603 product-10603 265/271/275
10657 podushka-dekorativnaya-garmoniya-grafika-07-50x50 265/271/275
10658 podushka-dekorativnaya-garmoniya-grafika-08-50x50 265/271/275
10659 podushka-dekorativnaya-garmoniya-bukle-05-50x50 265/271/275
10661 podushka-dekorativnaya-garmoniya-grafika-01-45x45 265/271/275
10663 podushka-dekorativnaya-garmoniya-grafika-04-45x45 265/271/275
10664 podushka-dekorativnaya-garmoniya-bukle-07-30x50 265/271/275
10666 podushka-dekorativnaya-garmoniya-bukle-08-30x50 265/271/275
10692 podushka-dekorativnaya-garmoniya-grafika-09-50x50 265/271/275
10698 product-10698 265/271/275
12496 podushka-dekorativnaya-garmoniya-rogozhka-03-seryy-kant-30h50 265/271/275
12509 podushka-dekorativnaya-vista-03-chernyy-kant-50h50 265/271/275
12510 podushka-dekorativnaya-garmoniya-rogozhka-04-siniy-kant-30h50 265/271/275
12516 podushka-dekorativnaya-garmoniya-rogozhka-02-goluboy-kant-50h50 265/271/275
12517 podushka-dekorativnaya-vista-02-belyy-kant-50h50 265/271/275
12519 podushka-dekorativnaya-garmoniya-rogozhka-03-seryy-kant-50h50 265/271/275
12526 podushka-dekorativnaya-vista-03-siniy-kant-30h50 265/271/275
12530 podushka-dekorativnaya-garmoniya-rogozhka-02-goluboy-kant-30h50 265/271/275
12531 podushka-dekorativnaya-vista-02-goluboy-kant-30h50 265/271/275