"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-08 19:39:08.718528
"""

```python
from typing import List, Dict

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

    def add_fact(self, fact: str) -> None:
        """Add a new fact to the knowledge base."""
        if fact not in self.knowledge:
            self.knowledge[fact] = True
        else:
            raise ValueError("Fact already exists in the knowledge base.")

    def retrieve_facts(self, query: str) -> List[str]:
        """Retrieve all facts that match the given query."""
        matching_facts = [fact for fact in self.knowledge if query.lower() in fact.lower()]
        return matching_facts

class RuleEngine:
    def __init__(self):
        self.rules = []

    def add_rule(self, rule: str) -> None:
        """Add a new rule to the rule engine."""
        self.rules.append(rule)

    def apply_rules(self, facts: List[str]) -> Dict[str, bool]:
        """Apply all rules to the given facts and return a result set."""
        results = {}
        for fact in facts:
            for rule in self.rules:
                if rule.startswith(fact):
                    conclusion = rule[len(fact):].strip()
                    results[conclusion] = True
        return results

def create_reasoning_engine() -> RuleEngine:
    """Create and return a reasoning engine with initial setup."""
    engine = RuleEngine()
    # Adding some example facts and rules for demonstration purposes
    kb = KnowledgeBase()
    kb.add_fact("The sky is blue")
    kb.add_fact("Water boils at 100 degrees Celsius")
    
    # Example rule: If the sky is blue, then it's not raining.
    engine.add_rule("The sky is blue if and only if it's not raining.")
    # Another example: If water boils, then it's hot.
    engine.add_rule("Water boils if and only if it's hot.")

    return engine

# Example usage
reasoning_engine = create_reasoning_engine()
facts = reasoning_engine.retrieve_facts("sky")
print(f"Retrieved facts about the sky: {facts}")
results = reasoning_engine.apply_rules(list(facts))
print(f"Reasoning results: {results}")
```

This code defines a `KnowledgeBase` class for managing facts and a `RuleEngine` class for applying logical rules. The `create_reasoning_engine` function initializes these classes with some example data to demonstrate their usage, addressing the problem of limited reasoning sophistication by providing basic rule-based inference capabilities.