Using the bool function to monitor led

unable to advance my code to trigger the buttons to turn off the led and to advance. tried using bool function to monitor the value going though the led

code is below
#include <LiquidCrystal.h>

LiquidCrystal lcd(12, 11, 5, 4, 3, 2);

int RED_1 = 10;
int RED_2 = 9;
//int RED_3 = 8;
int GO_LED = 6;

boolean running = false;

int PLAYER_1_BUTTON = 1;
int PLAYER_2_BUTTON = 0;
int START_BUTTON = 13;

int Player_1_time = 0;
int Player_2_time = 0;

void setup() {

// put your setup code here, to run once:
pinMode(RED_1, OUTPUT);
pinMode(RED_2, OUTPUT);
pinMode(GO_LED, OUTPUT);
// pinMode(RED_3, OUTPUT); pin no longer used

pinMode(PLAYER_1_BUTTON, INPUT);
pinMode(PLAYER_2_BUTTON, INPUT);
pinMode(START_BUTTON, INPUT);

Serial.begin(9600);
lcd.begin(16,2);
// lcd.setCursor(0.0);
}

void loop() {

int GO_LED_state = digitalRead(GO_LED);
int Start_buttonState = digitalRead(START_BUTTON);
int buttonState_1 = digitalRead(PLAYER_1_BUTTON);
int buttonState_2 = digitalRead(PLAYER_2_BUTTON);

if(Start_buttonState == HIGH ){
//if(RED_1 == LOW && RED_2 == LOW && RED_3 == LOW){
Serial.println(GO_LED_state == HIGH);
// delay(500);
digitalWrite(RED_1, HIGH);
delay(1000);
digitalWrite(RED_2,HIGH);
// delay(1000);
// digitalWrite(RED_3,HIGH);
delay(3870);
digitalWrite(GO_LED, HIGH);

digitalWrite(RED_1,LOW);
digitalWrite(RED_2,LOW);

// digitalWrite(RED_3,LOW);

//RED_1 == LOW && RED_2 == LOW && RED_3 == LOW
/* if(buttonState_1 == HIGH || buttonState_2 == HIGH && GO_LED == LOW ){
lcd.print("False Start, Please hit restart");
GO_LED = LOW;
}*/

if(GO_LED_state == HIGH){

// if(RED_1 == LOW && RED_2 == LOW && RED_3 == LOW){

  if( buttonState_1 == HIGH){
    Player_1_time = millis();
    digitalWrite(GO_LED, LOW);
  }
  
  else if(buttonState_2 == HIGH){
    Player_2_time = millis();
    digitalWrite(GO_LED, LOW);
    
  }

  if(Player_1_time > Player_2_time){
    lcd.print("PLAYER 1 WINS!!!");
    delay(1000);
  }
  
  else if(Player_1_time < Player_2_time){
    lcd.print("PLAYER 2 WINS!!!");
    delay(1000);
  }
  
  digitalWrite(GO_LED, LOW);

  Player_1_time = Player_1_time - 4870;
  Player_2_time = Player_2_time - 4870;

  lcd.setCursor(0,0);
  lcd.print( Player_1_time);
  lcd.setCursor(0,1);
  lcd.print(Player_2_time);

  Serial.println("It works");
delay(15000);
}

}
}

Read the forum guidelines to see how to properly post code and some hints on how to get the most from this forum.
Use the IDE autoformat tool (ctrl-t or Tools, Auto format) before posting code in code tags.

Describe what the code actually does and how that differs from what you want.

What does that mean?

You set up one boolean variable, running. But you never use it for anything. Please post the code (in the correct format) where you tried to USE a bool for something and explain why it didn't work for you.

Steve

novice code is often overcomplicated

consider

#undef MyHW
#ifdef MyHW
struct LiquidCrystal {
    LiquidCrystal   (int a, int b, int c, int d, int e, int f)  { };
    void begin      (int c, int r)  { };
    void clear      (void)          { };
    void setCursor  (int c, int r)  { };
    void print      (int i)         { Serial.println (i); };
    void print      (const char *s) { Serial.println (s); };
};

int RED_1  = 11;
int RED_2  = 12;
int GO_LED = 13;

int PLAYER_2_BUTTON = A3;
int PLAYER_1_BUTTON = A2;
int START_BUTTON    = A1;

enum { Off = HIGH, On = LOW };
#else

# include <LiquidCrystal.h>

int RED_1 = 10;
int RED_2 = 9;
int GO_LED = 6;

int PLAYER_1_BUTTON = 1;
int PLAYER_2_BUTTON = 0;
int START_BUTTON = 13;

enum { Off = HIGH, On = LOW };
#endif

// -----------------------------------------------------------------------------
LiquidCrystal lcd  (12, 11, 5, 4, 3, 2);

boolean running = false;

unsigned long start_time;
unsigned long player_1_time;
unsigned long player_2_time;

// -----------------------------------------------------------------------------
void setup  () {
    pinMode  (RED_1,  OUTPUT);
    pinMode  (RED_2,  OUTPUT);
    pinMode  (GO_LED, OUTPUT);

    digitalWrite  (RED_1,  Off);
    digitalWrite  (RED_2,  Off);
    digitalWrite  (GO_LED, Off);

    pinMode  (PLAYER_1_BUTTON, INPUT_PULLUP);
    pinMode  (PLAYER_2_BUTTON, INPUT_PULLUP);
    pinMode  (START_BUTTON,    INPUT_PULLUP);

    Serial.begin  (9600);

    lcd.begin  (16,2);
}

// -----------------------------------------------------------------------------
void winner  (
    const char      *s,
    unsigned long    time )
{
    lcd.setCursor  (0,0);
    lcd.print (s);
    lcd.setCursor (0,1);
    lcd.print (time);

    digitalWrite  (RED_1,  Off);
    digitalWrite  (RED_2,  Off);
    digitalWrite  (GO_LED, Off);

    running = false;
}

// -----------------------------------------------------------------------------
void loop  () {
    int Start_buttonState = digitalRead  (START_BUTTON);
    int buttonState_1     = digitalRead  (PLAYER_1_BUTTON);
    int buttonState_2     = digitalRead  (PLAYER_2_BUTTON);

    if  (Start_buttonState == On ) {
        lcd.clear ();

        delay  (1000);
        digitalWrite  (RED_1,On);
        delay  (1000);
        digitalWrite  (RED_2,On);
        delay  (1000);
        digitalWrite  (GO_LED, On);

        running    = true;
        start_time = millis ();
    }

    if (running)  {
        if (buttonState_1 == On)
            winner ("PLAYER 1 WINS!!!", millis () - start_time);
       if  (buttonState_2 == On)
            winner ("PLAYER 2 WINS!!!", millis () - start_time);
    }
}