"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-06 00:54:15.135662
"""

```python
from typing import List, Dict
from functools import lru_cache

class FactChecker:
    """
    A class for checking facts against known data or rules.
    
    Attributes:
        knowledge_base: A dictionary containing key-value pairs of known facts.
        max_depth: An integer representing the maximum depth for recursive checks.
        
    Methods:
        check_fact(fact: str) -> bool:
            Checks if a given fact is true based on the knowledge base and reasoning capabilities.
            
        _recursive_check(fact: str, depth: int = 0) -> bool:
            A helper method to perform recursive checking of facts up to max_depth.
    """
    
    def __init__(self, knowledge_base: Dict[str, bool], max_depth: int):
        self.knowledge_base = knowledge_base
        self.max_depth = max_depth

    @lru_cache(maxsize=None)
    def check_fact(self, fact: str) -> bool:
        """Check if a given fact is true based on the knowledge base and reasoning capabilities."""
        return self._recursive_check(fact)

    @lru_cache(maxsize=1024)
    def _recursive_check(self, fact: str, depth: int = 0) -> bool:
        """
        A helper method to perform recursive checking of facts up to max_depth.
        
        Args:
            fact: The fact to check.
            depth: Current recursion depth.
            
        Returns:
            True if the fact is true, False otherwise.
        """
        if depth > self.max_depth:
            return False
        if fact in self.knowledge_base:
            return self.knowledge_base[fact]
        # Example rule-based checking (can be replaced with more sophisticated logic)
        elif "not" in fact and all([self.check_fact(sub_fact) for sub_fact in self._parse_sub_facts(fact)]):
            return False
        elif "and" in fact:
            return all([self.check_fact(sub_fact) for sub_fact in self._parse_sub_facts(fact)])
        else:
            return True

    def _parse_sub_facts(self, fact: str) -> List[str]:
        """Parse the fact to extract its components."""
        # Example simple parsing (can be extended)
        return [sub_fact.strip() for sub_fact in fact.split(" and ")]
```

Example usage:

```python
knowledge_base = {
    "cat has 4 legs": True,
    "dog has 4 legs": True,
    "elephant has 4 legs": False
}

fc = FactChecker(knowledge_base, max_depth=2)

# Direct fact check
print(fc.check_fact("cat has 4 legs"))  # Output: True

# Complex fact check with logical operations
print(fc.check_fact("not dog has 4 legs and elephant has 4 legs"))  # Output: False
```