"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-07 19:36:22.693449
"""

```python
from typing import List, Dict


class KnowledgeBase:
    def __init__(self):
        self.knowledge = {}

    def add_fact(self, fact: str) -> None:
        """
        Adds a new fact to the knowledge base.

        :param fact: A string representing a new fact.
        """
        if fact not in self.knowledge:
            self.knowledge[fact] = []

    def get_facts(self) -> Dict[str, List[str]]:
        """
        Retrieves all facts stored in the knowledge base.

        :return: A dictionary of facts where keys are the fact statements and values are lists of associated evidence.
        """
        return self.knowledge


class ReasoningEngine:
    def __init__(self):
        self.kb = KnowledgeBase()
        self.rules = {}

    def add_rule(self, rule: str) -> None:
        """
        Adds a new inference rule to the reasoning engine.

        :param rule: A string representing an inference rule.
        """
        if rule not in self.rules:
            self.rules[rule] = []

    def infer(self, fact: str) -> List[str]:
        """
        Infers additional facts based on existing knowledge and rules.

        :param fact: The initial known fact to start the inference process with.
        :return: A list of inferred facts.
        """
        inferred_facts = set()
        for rule in self.rules:
            if all(fact in f for f in rule.split(" -> ")):
                conclusion, _ = rule.split(" -> ")
                inferred_facts.add(conclusion)
        
        return list(inferred_facts)

    def reason(self, initial_fact: str) -> List[str]:
        """
        Performs reasoning to derive new facts based on the knowledge base and rules.

        :param initial_fact: The starting fact for the reasoning process.
        :return: A list of derived facts including the initial fact.
        """
        known_facts = [initial_fact]
        inferred = self.infer(initial_fact)
        
        while inferred:
            known_facts.extend(inferred)
            new_inferences = set(self.infer(' '.join(known_facts)))
            inferred = list(new_inferences - set(known_facts))
        
        return known_facts

# Example usage
if __name__ == "__main__":
    reasoning_engine = ReasoningEngine()
    reasoning_engine.kb.add_fact("A")
    reasoning_engine.kb.add_fact("B -> C")
    reasoning_engine.add_rule("C -> D")
    
    derived_facts = reasoning_engine.reason("A")
    print(derived_facts)
```