Python score counter and lives in game with while, if, elif anf else

I'm trying to create this game but I'm stuck with this whole score counter lives and how to break the while loop.

player = input("Welcome! Let's play Rock, Paper, Scissors, Lizard, Spock. You have five lives. Press enter to start.")

from random import randint

t = ["rock", "paper", "scissors", "lizard", "spock"]

computer = t[randint(0,4)]

player = False

while player == False:

    lives = 5
    score = 0
    player = input("rock, paper, scissors, lizard, spock?")
    print("Computer plays",computer)
    if player == computer:
        print("Tie!")
        score + 1
    elif player == "rock":
        if computer == "paper":
            print("You lose!", computer, "covers", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
        elif computer == "lizard":
            print("You win!", player, "crushes", computer)
            score + 2
        elif computer == "spock":
            print("You lose!", computer, "vaporises", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
        else:
            print("You win!", player, "smashes", computer)
            score + 2
    elif player == "paper":
        if computer == "scissors":
            print("You lose!", computer, "cuts", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
        elif computer == "lizard":
            print("You lose!", computer, "eats", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
        elif computer == "spock":
            print("You win!", player, "disproves", computer)
            score + 2
        else:
            print("You win!", player, "covers", computer)
            score + 2
    elif player == "scissors":
        if computer == "rock":
            print("You lose...", computer, "smashes", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
        elif computer == "spock":
            print("You lose!", computer, "smashes", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
        elif computer == "lizard":
            print("You win!", player, "decapitates", computer)
            score + 2
        else:
            print("You win!", player, "cuts", computer)
            score + 2
    elif player == "spock":
        if computer == "lizard":
            print("You lose!", computer, "poisons", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
        elif computer == "scissors":
            print("You win!", player, "smashes", computer)
            score + 2
        elif computer == "rock":
            print("You win!", player, "vaporises", computer)
            score + 2
        else:
            print("You lose!", computer, "disproves", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
    elif player == "lizard":
        if computer == "spock":
            print("You win!", player, "poisons", computer)
            score + 2
        elif computer == "rock":
            print("You lose!", computer, "crushes", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
        elif computer == "paper":
            print("You win!", player, "eats", computer)
            score + 2
        else:
            print("You lose!", computer, "decapitates", player)
            lives - 1
            if lives == 0:
                print("Your socre is", score)
                break
    else:
        print("That's not a valid play!")
    player = False
    computer = t[randint(0,4)]