XPost: comp.theory, comp.lang.c++, comp.lang.c   
   From: polcott333@gmail.com   
      
   void P()   
   {   
      if H(P)  // returns 1 for halts 0 for loops   
        HERE: goto HERE;   
   }   
      
   For *any* decider H and input P   
   If H says halts then P loops   
   If H says loops then P halts   
   Making this HP diagonal case unsatisfiable.   
      
   Finally a simple way to say it that uses terms exactly correctly.   
      
   *** NOTE *** THIS IS ONLY THE CONVENTIONAL NOTION   
      
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   Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius   
   hits a target no one else can see." Arthur Schopenhauer   
      
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