The precedence of && is higher than ||

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Java

The output for the code below is:

1. true
2. false
1. true
2. true

I understand why the 1st line of output should be true.

I don't understand why the 2st line of output should be false, because 13 <= 5 and 13 != 12 makes 'false', 'false' and 13 > 10 makes 'true'.

I don't understand why the 3rd line of output should be true, because 12 > 10 or 12 <= 5 makes 'true', and 'true' and 12 != 12 makes false.

I understand why the 4rd line of output should be true.

public class MyProgram
{
    public void start()
    {
        doBooleans(12);
        doBooleans(13);
    }

    private void doBooleans(int value)
    {
        boolean result;

        result = value > 10 || value <= 5 && value != 12;
        System.out.println("1. " + result);

        result = (value > 10 || value <= 5) && value != 12;
        System.out.println("2. " + result);
    }
}