Craftman 19.5, model number 917256563. brigs andstraton. engine will not turnover even with new battery

Hello:

>>From your Description it Sounds like a Bad Clutch/Neutral, Blade Engagement Safety Switch or a Bad Starter or Starter Solenoid.
>>The Following is an Instruction File for the Safety Switch System. Any Input is Appreciated.
>>The Color Code of the Wires May be Different than those I Use as a Reference in the Instruction File.
>>**PLEASE REMEMBER THAT THE INSTRUCTIONS FOR CHECKING THE SAFETY SWITCHES IS JUST THAT!!! FOR CHECKING ONLY.
>>I NEVER Suggest a Mower be Operated with a Safety Device or Switch Disconnected or Bypassed.
>>**Now. On Some Model Mowers you can Simply Unplug the Safety Switch from the Harness. On Other Models you have to Place a Jumper Wire Between the Harness Terminals (on the 4 Post Switch (Clutch/Brake) Jumper from Same Color Wire (Example: White to White) First and then Check for Fire, Now Include the Black to Black Wires if No Fire. Check the Clutch/Brake and the Blade/PTO Safety Switches First. Then Check the Oil Guard Switch (if Applicable). Check the Seat Safety Last. Usually the Seat Safety is Not in the System for Starting the Engine. Just to Ensure Someone is in the Seat when Engaging the Transaxle and/or Blades. Use a Paper Clip or a Short Wire to Make a Jumper.**
>>Use a Multimeter and Check the Continuity of the Switch. The Meter should Show when the Contacts are Closed and Open. The Meter will Swing All the Way Over when the Switch Contacts are Closed and Swing Back to the Rest Point when the Switch Contacts are Open.
>>The Following is an Instruction File I Made for Checking/Testing the Starter and Solenoid.
>>**(with the Spark Plug/s Removed) To Check the Solenoid and Starter, Once you are Sure the Battery is Fully Charged/New, then Use your Jumper Cable Set and Attach the Positive Lead Onto the Positive Post of the Battery (make sure the Battery is Fully Charged or is a New Battery).
>>Now Firmly Touch the Large Post on the Starter.
>>If the Starter Does Not Turn and you can turn the Engine by Hand, then the Starter is Bad.
>>If the Starter Turns the Engine Properly, Then Check the Solenoid. Firmly Touch the Small Post at the Base of the Solenoid that has the Ign Wire Attached to it.
If the Solenoid Does Not Click, then a Safety Switch is Preventing the Starter System from Operating and the Safety Switch must be Replaced to Correct this Problem.
>>If The Starter Does Not Turn and the Solenoid Clicks, Then the Solenoid is Bad.**
Please, Do Not Hesitate, If I Missed Something or you Hit a Snag or this Does Not Correct the Problem, I am Here if You Require More Assistance.
Hope this Helps. Let me Know What Happens, Please. May the All Mighty Bless You and Yours. Be Safe and Be Happy. Thanks.

Good Luck

Respectfully

jbridger (John)