"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-06 20:44:12.735050
"""

```python
from typing import List, Tuple

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 piece of information.
        """
        self.knowledge.append(fact)

    def find_related_facts(self, query: str) -> List[str]:
        """
        Searches for facts related to a given query in the knowledge base.
        
        :param query: A string representing the search term or concept.
        :return: A list of strings that are related to the query.
        """
        return [fact for fact in self.knowledge if query.lower() in fact.lower()]

class ReasoningEngine:
    def __init__(self, knowledge_base: KnowledgeBase):
        """
        Initializes a new instance of the reasoning engine with a given knowledge base.
        
        :param knowledge_base: An instance of KnowledgeBase containing relevant facts and rules.
        """
        self.knowledge_base = knowledge_base

    def infer_new_knowledge(self, query: str) -> List[str]:
        """
        Attempts to infer new pieces of knowledge based on existing facts and a given query.
        
        :param query: A string representing the search term or concept to generate inferences for.
        :return: A list of strings representing inferred facts related to the query.
        """
        related_facts = self.knowledge_base.find_related_facts(query)
        return [fact + " -> " + query for fact in related_facts]

def example_usage() -> None:
    # Initialize a knowledge base with some sample facts
    kb = KnowledgeBase()
    kb.add_fact("All humans are mortal.")
    kb.add_fact("Socrates is a human.")
    
    # Create a reasoning engine using the initialized knowledge base
    reasoner = ReasoningEngine(knowledge_base=kb)
    
    # Use the reasoning engine to infer new knowledge related to Socrates and mortality
    inferences = reasoner.infer_new_knowledge(query="mortal")
    
    print(inferences)  # Expected output: ['Socrates is a human. -> mortal', 'All humans are mortal. -> mortal']

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

This Python code defines a `KnowledgeBase` class to manage facts and a `ReasoningEngine` class that uses the knowledge base to infer new pieces of related information based on a query. The `infer_new_knowledge` method attempts to find related facts in the knowledge base and applies simple inference rules to generate inferences, addressing the requirement for limited reasoning sophistication.