Text based fight game
Design

As it stands, your current design is very rigid, and not extensible in any way. The best approach for a situation like this could be to use Object Oriented Programming, but in accordance with the Python talk, Stop Writing Classes, all of your code can be shortened to one function.

def fight_enemy(enemy_name, min_enemy_damage, max_enemy_damage, min_player_damage, max_player_damage):
    enemy_damage_dealt = random.randint(min_enemy_damage, max_enemy_damage)
    player_damage_dealt = random.randint(min_player_damage, max_player_damage)

    if enemy_damage_dealt &gt; player_damage_dealt:
        print("Uh-oh! You died!")
    elif enemy_damage_dealt &lt; player_damage_dealt:
        print("You killed the {enemy_name}".format(enemy_name=enemy_name))
    else:
        print("You walk away unscathed, but the {enemy_name} still lives.".format(enemy_name=enemy_name))


Here's an example function call:

fight_enemy("Enemy", 1, 10, 1, 10)




Naming

Many of your variable names are so cryptic that it's understand what they're doing, even in the context of other code. Here's a small list of some of your bad variable names.


fdmg1
edmg_c


While identifying bad names is important, fixing them is even better. Here's a small list of tips to follow when naming variables.


Don't make the name too short. (Unless you're doing stuff like coordinates, with x, and y.)
Don't include abbreviations unless the name is long, and the abbreviations are still readable.
Use underscores _ to separate words.




Nitpicks

When getting an value from random.randint(), there's no need to convert to an integer using int. random.randint() already returns an integer value.

You should also be using string formatting with str.format, rather than passing multiple arguments to print(). For example, the following line:

print("The Enemy hits a", edmg_b)


Would become:

print("The Enemy hits a {damage}".format(damage=edmg_b))


For more on str.format, see the docs.

You also have to useless imports:

import time
import sys


If you don't use the contents of these modules, the imports can be removed.



In short, I've refactored your code down to this:

import random

def fight_enemy(enemy_name, min_enemy_damage, max_enemy_damage, min_player_damage, max_player_damage):
    enemy_damage_dealt = random.randint(min_enemy_damage, max_enemy_damage)
    player_damage_dealt = random.randint(min_player_damage, max_player_damage)

    if enemy_damage_dealt &gt; player_damage_dealt:
        print("Uh-oh! You died!")
    elif enemy_damage_dealt &lt; player_damage_dealt:
        print("You killed the {enemy_name}".format(enemy_name=enemy_name))
    else:
        print("You walk away unscathed, but the {enemy_name} still lives.".format(enemy_name=enemy_name))


Hope this helps! Enjoy!