"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-07 11:00:45.274179
"""

```python
from typing import List, Dict, Any


class ReasoningEngine:
    """
    A simple reasoning engine that can evaluate logical statements based on given facts.
    """

    def __init__(self):
        self.knowledge_base: Dict[str, bool] = {}

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

        :param fact: A string representing the logical statement (e.g., "A is True").
        :param value: A boolean indicating the truth value of the fact.
        """
        self.knowledge_base[fact] = value

    def evaluate_statement(self, statement: str) -> bool:
        """
        Evaluates the truth value of a given statement based on the knowledge base.

        :param statement: The logical statement to evaluate.
        :return: A boolean indicating whether the statement is true or false.
        """
        return self.knowledge_base.get(statement, False)

    def derive_new_fact(self, rule: str) -> None:
        """
        Derives a new fact based on a logical rule and existing facts.

        :param rule: The logical rule to apply (e.g., "A AND B implies C").
        """
        left_side, right_side = rule.split("implies")
        left_facts = [fact.strip() for fact in left_side.strip().split("and")]
        derived_fact = all([self.knowledge_base[fact] if fact in self.knowledge_base else False for fact in left_facts])
        new_fact = f"{right_side.strip()}"
        self.add_fact(new_fact, derived_fact)


def example_usage():
    """
    Demonstrates the usage of the ReasoningEngine class.
    """
    engine = ReasoningEngine()
    # Adding facts
    engine.add_fact("A is True", True)
    engine.add_fact("B is False", False)

    # Evaluating a statement based on existing facts
    print(engine.evaluate_statement("A"))  # Should output: True

    # Deriving a new fact based on logical rules
    engine.derive_new_fact("A and B implies C")
    print(engine.evaluate_statement("C"))  # Should output: False


if __name__ == "__main__":
    example_usage()
```