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I made your code readable. Please do that from now on.

Your flow is as follows...

• if span[1] is not selected then
• click span[1]
• else if span[2] is not selected then
• click span[2]

Please clarify what precisely is happening so we can help you properly.

EDIT

As I mention above your second part is checking if span[2] is not selected...

• If Element 1 is not selected
• Click it
• Else Click Element 2

Here is how you can follow your logic

if (!driver.findElement(By.xpath("/html/body/div[1]/div[2]/div[4]/div[1]/div/div/div[2]/div/div[1]/div[1]/div[2]/div[2]/span/span[1]")).isSelected() ) {
    driver.findElement(By.xpath("/html/body/div[1]/div[2]/div[4]/div[1]/div/div/div[2]/div/div[1]/div[1]/div[2]/div[2]/span/span[1]")).click();
} else {
    driver.findElement(By.xpath("/html/body/div[1]/div[2]/div[4]/div[1]/div/div/div[2]/div/div[1]/div[1]/div[2]/div[2]/span/span[2]")).click();
}