Why don't the elif statements work?

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Python

I am trying to make it so that when the user chooses a number, the user's character will train for x amount of hours. However, when I choose a number other than 1, the code will still print the code for 1 hour.

import random
import time

bot = random.choice(["1","2","3","4","5"])
ATK = 1
DEF = 1
STR = 1
HP = 1
training = True
alive = True
combat = True
rest = "Rest" and "rest"
trainc = "Train" and "train"
stats =["ATK = " +str(ATK), "DEF= " + str(DEF), "STR = " + str(STR), "HP = " + str(HP)]

name = input("What is your name, fighter?: ")

print("Welcome to the Bare Knuckle Arena," + name + ".\n" "These are your current stats:" +  str(stats) + "\nFight and train to increase them.\nSee you in the morning.\n")
time.sleep(4)


print("Good morning fighter! It is time to train!")
train = input("What do you want to train today? (ATK,DEF,STR,HP):")
train_time = int(input("How long do you want to train for?(hrs): "))


if train =="ATK" or train == "atk" and train_time == "1":
    print("You duel for 1 hour...")
    time.sleep(3)
    ATK = ATK + 1
    print("ATK has increased to: " + str(ATK))
            
elif train =="ATK" or train == "atk" and train_time == "2":
        print("You duel for 2 hours...")
        time.sleep(3)
        ATK = ATK + 2
        print("ATK has increased to: " + str(ATK))
elif train =="ATK" or train == "atk" and train_time == "3":
        print("You duel for 3 hours...")
        time.sleep(3)
        ATK = ATK + 3
        print("ATK has increased to: " + str(ATK))
            
elif train =="ATK" or train == "atk" and train_time == "4":
        print("You duel for 4 hours...")
        time.sleep(3)
        ATK = ATK + 4
        print("ATK has increased to: " + str(ATK))

if train =="DEF" or train == "def" and train_time == "1":
            print("You spar for 1 hour...")
            time.sleep(3)
            DEF = DEF + 1
            print("DEF has increased to: " + str(DEF))
elif train =="DEF" or train == "def" and train_time == "2":
            print("You spar for 2 hours...")
            time.sleep(3)
            DEF = DEF + 2            
            print("DEF has increased to: " + str(DEF))

elif train =="DEF" or train == "def" and train_time == "3":
            print("You spar for 3 hours...")
            time.sleep(3)
            DEF = DEF + 3
            print("DEF has increased to: " + str(DEF))

elif train =="DEF" or train == "def" and train_time == "4":
            print("You spar for 4 hours...")
            time.sleep(3)
            DEF = DEF + 4
            print("DEF has increased to: " + str(DEF))

if train =="STR" or train == "str" and train_time == "1":
            print("You workout for 1 hour...")
            time.sleep(3)
            STR = STR + 1
            print("STR has increased to: " + str(STR))
elif train =="STR" or train == "str" and train_time == "2":
            print("You workout for 2 hours...")
            time.sleep(3)
            STR = STR + 2            
            print("STR has increased to: " + str(STR))

elif train =="STR" or train == "str" and train_time == "3":
            print("You workout for 3 hours...")
            time.sleep(3)
            STR = STR + 3
            print("STR has increased to: " + str(STR))

elif train =="STR" or train == "str" and train_time == "4":
            print("You workout for 4 hours...")
            time.sleep(3)
            STR = STR + 4
            print("STR has increased to: " + str(STR))
            

if train =="HP" or train == "hp" and train_time == "1":
            print("You run for 1 hour...")
            time.sleep(3)
            HP = HP + 1
            print("HP has increased to: " + str(HP))
elif train =="HP" or train == "hp" and train_time == "2":
            print("You run for 2 hours...")
            time.sleep(3)
            HP = HP + 2            
            print("HP has increased to: " + str(HP))

elif train =="HP" or train == "hp" and train_time == "3":
            print("You run for 3 hours...")
            time.sleep(3)
            HP = HP + 3
            print("HP has increased to: " + str(HP))

elif train =="HP" or train == "hp" and train_time == "4":
            print("You run for 4 hours...")
            time.sleep(3)
            HP = HP + 4
            print("HP has increased to: " + str(HP))
else:
    while train != "ATK" and train != "DEF" and train != "HP" and train != "STR":
        print("Please choose a valid option.")
        train = input("What do you want to train today? (ATK,DEF,STR,HP):")

if train_time > 4:
    print("You will be over training! Choose less than 4 hours.")
    train = input("What do you want to train today? (ATK,DEF,STR,HP):")
    train_time = input("How long do you want to train for?: ")

if train_time < 4:
    rt = input("Would you like to rest or keep training?(Rest/Train):")
    if rt == "Rest" or "rest":
        print("Good job training today.Tommorow you have your first fight. Good luck.")
        print("")
        print("You rest...")
        time.sleep(5)
    elif rt == "Train" and "train":
        train = input("What do you want to train? (ATK,DEF,STR,HP):")
        train_time = int(input("How long do you want to train for?: "))

What I have tried:

I have tried rearranging the conditionals and using or instead of and, and I don't know where to go from there