According to the following page, a primary key is used for both LIKE and NOT LIKE conditions:
https://clickhouse.com/docs/en/engines/table-engines/mergetree-family/mergetree/#functions-support

As I found, a primary key is not used for NOT LIKE 'prefix%' conditions, engine scans all granules.

**How to reproduce**
ClickHouse Playground:
https://fiddle.clickhouse.com/095384c8-7b7e-45ec-b7e7-42dc8150be89

```
CREATE TABLE data
(str String)
ENGINE=MergeTree
ORDER BY str;

INSERT INTO data (str)
SELECT 'aa' FROM numbers(100000);

INSERT INTO data (str)
SELECT 'ba' FROM numbers(100000);

INSERT INTO data (str)
SELECT 'ca' FROM numbers(100000);

SET send_logs_level='trace';

SELECT count()
FROM data
WHERE str NOT LIKE 'a%';
```

`(SelectExecutor): Selected 3/3 parts by partition key, 3 parts by primary key, 36/36 marks by primary key, 36 marks to read from 3 ranges`

**Additional context**
Primary key is used for LIKE conditions, engine skips granules:
https://fiddle.clickhouse.com/95dd14a6-2e9f-4c45-94cd-169233f2a702

Primary key is used for != conditions, engine skips granules:
https://fiddle.clickhouse.com/e208b937-20c3-4cc0-896b-bfe83b42454a

{
    return (func_name == "and" || func_name == "or" || func_name == "not" || func_name == "indexHint");
}
ASTPtr cloneASTWithInversionPushDown(const ASTPtr node, const bool need_inversion = false)
{
    const ASTFunction * func = node->as<ASTFunction>();
    if (func && isLogicalOperator(func->name))
    {
        if (func->name == "not")
        {
            return cloneASTWithInversionPushDown(func->arguments->children.front(), !need_inversion);
        }
        const auto result_node = makeASTFunction(func->name);
        
        if (result_node->name != "indexHint" && need_inversion)
        {
            result_node->name = (result_node->name == "and") ? "or" : "and";
        }
        if (func->arguments)
        {
            for (const auto & child : func->arguments->children)
            {
                result_node->arguments->children.push_back(cloneASTWithInversionPushDown(child, need_inversion));
            }
        }
        return result_node;
    }
    auto cloned_node = node->clone();