How to list all methods of a class (not Extended and Included methods)

Using Ruby 2.2.1, How to list all methods (preferrably Array of String names) of a class that is only defined in that class / file where include and extend methods are filtered out. I want to distinguish class and instance methods as well.

Currently, I can get all the uninherited methods using MyClass.methods(false) but this still includes methods that are part of an include Module.

Explicitly, say, I have:

class MyClass < BaseClass
  extend AnotherBaseClass
  include MyModule

  def foo
  end
  
  def bar
  end
end

I want to get:

somecodethatreturnssomething
#=> ['foo', 'bar']
# Not including BaseClass, AnotherBaseClass, and ModuleClass methods

UPDATE:

@Wand Maker's answer is correct when I run it in a separate irb console. However, I still have a problem specifically that I am including ActionView::Helpers::UrlHelper in MyClass. I always get extra methods: default_url_options?, default_url_options=, and default_url_options. I thought that include behaves the same regardless of Rails or not, so I didn't tag this question with Rails.

I even added byebug at the end of the file of MyClass, so that I could inspect the class and run MyClass.singleton_methods(false) or run MyClass.instance_methods(false). But they still include these three unwanted methods.

I can remove these three extra methods from the array manually, so I could get the dynamic list of methods of my class, but I am just afraid that in the future my app will break if there's an update or something that will add new methods to the class (unknowingly).

UPDATE:

The 3 methods only get added in Rails 3 it seemed (the project I'm working on), but not in Rails 4 (as @Wand Maker and I have tested).

This is the exact code (where I removed already everything, but still getting same results/problem)

# lib/my_class.rb
class MyClass
  include ActionView::Helpers::UrlHelper

  def welcome
    puts 'Hello Jules!'
  end

  def farewell
    puts 'Goodbye Jules!'
  end
end

byebug

Or I could delete that file: my_class.rb (and copy and paste that whole code in rails console)

But, still getting the same problem.

You can do something like below:

MyClass.instance_methods(false)
#=> [:foo, :bar]

If you want to include any class methods defined in MyClass, you could do:

MyClass.instance_methods(false) + MyClass.singleton_methods(false)

---

Here is working example with all classes/modules defined

class BaseClass
  def moo
  end
end

module AnotherBaseClass
  def boo
  end
end

module MyModule
  def roo
  end
end

class MyClass < BaseClass
  extend AnotherBaseClass
  include MyModule

  def self.goo
  end

  def foo
  end

  def bar
  end
end

p MyClass.instance_methods(false) + MyClass.singleton_methods(false)
#=> [:foo, :bar, :goo]

p RUBY_VERSION
#=> "2.2.2"