In most cases, IDP implementations do not cause a single logout when an IDP session expires. One reason is that many SP implementations do not support single logoff using a backend channel (using a SOAP call) and that the only binding is available in this situation.
Your SP session is likely to expire because it follows the parameter sessionNotOnOrAfterthat is included in Authentication statementfrom Assertionincluded in the ResponseSAML message sent from IDP during a single sign-on.
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