Javascript auto logout code

Conceptually, you only need 1 timer running at a time. One timer that runs for 14 minutes and another that runs for another minute (15 minutes total). Once the 14 minute timer runs out, kill it and then start the 1 minute timer. If that one minute timer runs out, log the user out. If the user presses the "Stay Logged In" button, kill the 1 minute timer and restart the 14 minute timer. Rinse and repeat.

I changed your code the best I could. Hope you get the point.

// Set timeout variables.
var timoutWarning = 840000; // Display warning in 14 Mins.
var timoutNow = 60000; // Warning has been shown, give the user 1 minute to interact
var logoutUrl = 'logout.php'; // URL to logout page.

var warningTimer;
var timeoutTimer;

// Start warning timer.
function StartWarningTimer() {
    warningTimer = setTimeout("IdleWarning()", timoutWarning);
}

// Reset timers.
function ResetTimeOutTimer() {
    clearTimeout(timeoutTimer);
    StartWarningTimer();
    $("#timeout").dialog('close');
}

// Show idle timeout warning dialog.
function IdleWarning() {
    clearTimeout(warningTimer);
    timeoutTimer = setTimeout("IdleTimeout()", timoutNow);
    $("#timeout").dialog({
        modal: true
    });
    // Add code in the #timeout element to call ResetTimeOutTimer() if
    // the "Stay Logged In" button is clicked
}

// Logout the user.
function IdleTimeout() {
    window.location = logoutUrl;
}

update to @VtoCorleone's answer :

var warningTimeout = 840000;
var timoutNow = 60000;
var warningTimerID,timeoutTimerID;

function startTimer() {
    // window.setTimeout returns an Id that can be used to start and stop a timer
    warningTimerID = window.setTimeout(warningInactive, warningTimeout);
}

function warningInactive() {
    window.clearTimeout(warningTimerID);
    timeoutTimerID = window.setTimeout(IdleTimeout, timoutNow);
    $('#modalAutoLogout').modal('show');
}

function resetTimer() {
    window.clearTimeout(timeoutTimerID);
    window.clearTimeout(warningTimerID);
    startTimer();
}

// Logout the user.
function IdleTimeout() {
    document.getElementById('logout-form').submit();
}

function setupTimers () {
    document.addEventListener("mousemove", resetTimer, false);
    document.addEventListener("mousedown", resetTimer, false);
    document.addEventListener("keypress", resetTimer, false);
    document.addEventListener("touchmove", resetTimer, false);
    document.addEventListener("onscroll", resetTimer, false);
    startTimer();
}

$(document).on('click','#btnStayLoggedIn',function(){
    resetTimer();
    $('#modalAutoLogout').modal('hide');
});

$(document).ready(function(){
    setupTimers();
});

I had to do the same functionality for our project. Used the following code:-

 <script>
   $(document).click(function(){
        if(typeof timeOutObj != "undefined") {
            clearTimeout(timeOutObj);
        }

        timeOutObj = setTimeout(function(){ 
            localStorage.clear();
            window.location = "/";
        }, 1200000);   //will expire after twenty minutes

   });
</script>

The above code will set a timer every time we click anywhere on the screen. In case we don't click it auto-logs out to home screen.