45.50/11.86	YES
46.34/12.08	
46.34/12.08	
46.34/12.08	The dependency pairs transformation was applied.
46.34/12.08	
46.34/12.08	Remains to prove termination of the 245-rule system
46.34/12.08	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) -> (0,true) (3,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) -> (1,true) ,
46.34/12.08	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.08	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (3,false) (0,false) (2,false) ,
46.34/12.08	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (2,false) ,
46.34/12.08	  (0,true) (0,false) (0,false) (2,false) -> (2,true) ,
46.34/12.08	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.08	  (0,true) (0,false) (2,false) (2,false) -> (0,true) (0,false) (3,false) (2,false) ,
46.34/12.08	  (0,true) (0,false) (2,false) (2,false) -> (0,true) (3,false) (2,false) ,
46.34/12.08	  (0,true) (0,false) (2,false) (2,false) -> (2,true) ,
46.34/12.08	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (1,false) (2,false) -> (1,true) (1,false) ,
46.34/12.08	  (0,true) (1,false) (1,false) (2,false) -> (1,true) ,
46.34/12.08	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (1,false) -> (1,true) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (1,false) -> (2,true) (4,false) (1,false) (3,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (1,false) -> (1,true) (3,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (2,false) -> (0,true) (3,false) (1,false) (2,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (2,false) -> (1,true) (2,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (2,false) -> (2,true) ,
46.34/12.08	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (5,false) -> (0,true) (5,false) (3,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (5,false) -> (5,true) (3,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (2,false) (5,false) -> (1,true) ,
46.34/12.08	  (0,true) (1,false) (5,false) (1,false) -> (1,true) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (1,false) -> (0,true) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (1,false) -> (5,true) (3,false) (1,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (1,false) -> (1,true) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (0,false) (3,false) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (0,true) (3,false) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (5,true) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (0,false) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (0,true) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (0,true) (5,false) (2,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (5,true) (2,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (2,false) -> (2,true) ,
46.34/12.08	  (0,true) (1,false) (5,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (5,false) -> (0,true) (5,false) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (5,false) -> (5,true) (5,false) ,
46.34/12.08	  (0,true) (1,false) (5,false) (5,false) -> (5,true) ,
46.34/12.08	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.08	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.08	  (0,true) (2,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) ,
46.34/12.08	  (0,true) (2,false) (1,false) (2,false) -> (1,true) ,
46.34/12.08	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.08	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) ,
46.34/12.08	  (0,true) (2,false) (5,false) (2,false) -> (0,true) (5,false) ,
46.34/12.08	  (0,true) (2,false) (5,false) (2,false) -> (5,true) ,
46.34/12.08	  (1,true) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.08	  (1,true) (1,false) (4,false) (5,false) -> (1,true) (3,false) (1,false) ,
46.34/12.08	  (1,true) (1,false) (4,false) (5,false) -> (1,true) ,
46.34/12.08	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.08	  (1,true) (5,false) (1,false) (5,false) -> (5,true) (5,false) (3,false) (1,false) ,
46.34/12.08	  (1,true) (5,false) (1,false) (5,false) -> (5,true) (3,false) (1,false) ,
46.34/12.08	  (1,true) (5,false) (1,false) (5,false) -> (1,true) ,
46.34/12.08	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.08	  (1,true) (5,false) (5,false) (1,false) -> (5,true) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.08	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) ,
46.34/12.08	  (1,true) (5,false) (5,false) (1,false) -> (5,true) (3,false) ,
46.34/12.08	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.08	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.08	  (2,true) (0,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) ,
46.34/12.08	  (2,true) (0,false) (1,false) (2,false) -> (1,true) ,
46.34/12.08	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.08	  (2,true) (0,false) (1,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) ,
46.34/12.08	  (2,true) (0,false) (1,false) (5,false) -> (0,true) (5,false) ,
46.34/12.08	  (2,true) (0,false) (1,false) (5,false) -> (5,true) ,
46.34/12.08	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.08	  (5,true) (0,false) (1,false) (2,false) -> (5,true) (3,false) (1,false) (2,false) ,
46.34/12.08	  (5,true) (0,false) (1,false) (2,false) -> (1,true) (2,false) ,
46.34/12.08	  (5,true) (0,false) (1,false) (2,false) -> (2,true) ,
46.34/12.08	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (1,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (5,true) (1,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (1,true) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (1,true) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (0,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (0,true) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (5,true) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (1,true) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (1,true) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (5,true) (2,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (0,true) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (0,true) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (1,true) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (2,true) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (1,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (0,true) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (5,true) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (1,true) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (1,true) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (5,true) (2,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (2,true) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (0,true) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (5,true) (1,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (1,true) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (1,true) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (0,true) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (2,true) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (1,true) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (1,true) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (5,true) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (1,true) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (0,true) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (0,true) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (1,true) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (0,true) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (2,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (2,true) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (5,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (5,true) (3,false) (1,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (1,true) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (5,true) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (1,true) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (0,true) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (1,true) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (5,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (5,true) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (5,true) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (1,true) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (5,true) (2,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (1,true) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (0,true) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (1,true) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (5,true) (2,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (2,true) (2,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (2,true) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (1,true) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (1,true) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (1,true) (5,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (5,true) (5,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (5,true) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (0,true) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (5,true) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (5,true) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (5,true) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (5,true) (2,false) (0,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (2,true) (0,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 2:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 178-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (2,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (2,true) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (1,true) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (2,true) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (1,true) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (0,true) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (5,true) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (1,true) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (0,true) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (5,true) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (0,true) (5,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (5,true) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (5,true) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (1,true) (3,false) (1,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (1,true) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
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46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (2,true) ,
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46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (1,true) (5,false) (2,false) ,
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46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (2,true) ,
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46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (0,true) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (2,true) ,
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46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (1,true) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (1,true) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (5,true) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (1,true) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (0,true) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (0,true) ,
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46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (2,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (2,true) (0,false) ,
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46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (5,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (5,true) (3,false) (1,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (1,true) ,
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46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (1,true) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (0,true) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (1,true) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (5,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (5,true) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (5,true) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (1,true) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (5,true) (2,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (2,true) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (0,true) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (5,true) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (5,true) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (5,true) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (5,true) (2,false) (0,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (2,true) (0,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 2:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 2 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 125-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (1,true) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (0,true) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (0,true) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (0,true) (5,false) (5,false) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (1,true) (3,false) (1,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (1,true) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (5,true) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (5,true) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (5,true) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (5,true) (3,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (0,true) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (1,true) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (0,true) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (1,true) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (0,true) (5,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (5,true) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (1,true) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (0,true) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (5,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (0,true) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (0,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (5,true) (2,false) (0,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (2,true) (0,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 2:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 99-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (1,true) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (1,true) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (0,true) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (1,true) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (1,true) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (5,true) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (1,true) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 2:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 94-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (1,true) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (1,true) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (5,true) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,true) (5,false) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 1 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 1 0 0 |
46.34/12.09	 \           /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 1 0 0 |
46.34/12.09	 \           /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 1 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 1 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 1 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 1 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 93-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (1,true) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (1,false) (4,false) (5,false) -> (5,true) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (1,true) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (0,false) (1,false) (5,false) -> (5,true) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 5:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 1 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 1 0 0 |
46.34/12.09	 \         /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 1 0 0 |
46.34/12.09	 \         /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 1 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 1 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 1 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 91-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (1,false) -> (1,true) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (1,true) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (5,false) -> (1,true) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (1,false) (2,false) -> (1,true) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (4,false) (2,false) -> (1,true) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,true) (1,false) (0,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (4,false) (0,false) (2,false) (1,false) -> (1,true) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 2:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 1 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /   \
46.34/12.09	| 1 0 |
46.34/12.09	| 0 1 |
46.34/12.09	 \   /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 83-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (0,false) (1,false) (4,false) (5,false) -> (1,true) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 1 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 1 0 0 |
46.34/12.09	 \           /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 1 0 0 |
46.34/12.09	 \           /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 1 0 0 |
46.34/12.09	| 0 0 0 0 0 1 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 1 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 1 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 82-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (1,false) -> (0,true) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (0,false) (5,false) -> (5,true) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 1 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 1 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 1 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 1 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /           \
46.34/12.09	| 1 0 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 0 |
46.34/12.09	 \           /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 80-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (5,false) (5,false) (1,false) -> (1,true) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.09	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.09	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.09	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.09	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.09	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.09	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.09	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.09	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.09	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.09	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.09	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.09	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.09	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.09	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.09	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.09	
46.34/12.09	
46.34/12.09	The system was filtered by the following matrix interpretation
46.34/12.09	of type E_J with J = {1,...,2} and dimension 5:
46.34/12.09	
46.34/12.09	(0,true) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(1,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 1 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(2,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(2,true) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(3,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(0,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 1 |
46.34/12.09	 \         /
46.34/12.09	(1,true) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 1 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(4,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(5,false) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 1 0 |
46.34/12.09	| 0 0 0 0 1 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	(5,true) is interpreted by
46.34/12.09	 /         \
46.34/12.09	| 1 0 0 0 0 |
46.34/12.09	| 0 1 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	| 0 0 0 0 0 |
46.34/12.09	 \         /
46.34/12.09	
46.34/12.09	Remains to prove termination of the 79-rule system
46.34/12.09	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.09	  (0,true) (0,false) (0,false) (2,false) -> (0,true) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.09	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.09	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.09	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,true) (0,false) (1,false) (2,false) (5,false) -> (2,true) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (1,false) (5,false) (2,false) -> (0,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (0,false) (4,false) (5,false) -> (5,true) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.10	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.10	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.10	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.10	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.10	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.10	
46.34/12.10	
46.34/12.10	The system was filtered by the following matrix interpretation
46.34/12.10	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.10	
46.34/12.10	(0,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 1 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(1,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 1 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	 \           /
46.34/12.10	(2,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	 \           /
46.34/12.10	(2,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(3,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(0,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	| 0 0 0 0 1 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(1,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(4,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	 \           /
46.34/12.10	(5,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 1 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(5,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	
46.34/12.10	Remains to prove termination of the 75-rule system
46.34/12.10	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,true) (0,false) (1,false) (2,false) -> (0,true) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,true) (0,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.10	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.10	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.10	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.10	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.10	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.10	
46.34/12.10	
46.34/12.10	The system was filtered by the following matrix interpretation
46.34/12.10	of type E_J with J = {1,...,2} and dimension 2:
46.34/12.10	
46.34/12.10	(0,true) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(1,false) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(2,false) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(2,true) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(3,false) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(0,false) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(1,true) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(4,false) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(5,false) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 0 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	(5,true) is interpreted by
46.34/12.10	 /   \
46.34/12.10	| 1 1 |
46.34/12.10	| 0 1 |
46.34/12.10	 \   /
46.34/12.10	
46.34/12.10	Remains to prove termination of the 73-rule system
46.34/12.10	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (0,false) (0,false) (0,false) (1,false) -> (0,true) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.10	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.10	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.10	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.10	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.10	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.10	
46.34/12.10	
46.34/12.10	The system was filtered by the following matrix interpretation
46.34/12.10	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.10	
46.34/12.10	(0,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 1 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(1,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(2,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(2,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(3,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(0,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 1 0 0 |
46.34/12.10	| 0 0 0 0 1 0 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	 \           /
46.34/12.10	(1,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(4,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(5,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(5,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	
46.34/12.10	Remains to prove termination of the 72-rule system
46.34/12.10	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.10	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.10	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.10	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.10	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.10	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.10	
46.34/12.10	
46.34/12.10	The system was filtered by the following matrix interpretation
46.34/12.10	of type E_J with J = {1,...,2} and dimension 5:
46.34/12.10	
46.34/12.10	(0,true) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(1,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 1 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(2,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(2,true) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(3,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(0,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 1 |
46.34/12.10	 \         /
46.34/12.10	(1,true) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 1 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(4,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(5,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 1 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(5,true) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	
46.34/12.10	Remains to prove termination of the 71-rule system
46.34/12.10	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) -> (2,true) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (5,false) (2,false) -> (2,true) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.10	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.10	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.10	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.10	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.10	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.10	
46.34/12.10	
46.34/12.10	The system was filtered by the following matrix interpretation
46.34/12.10	of type E_J with J = {1,...,2} and dimension 5:
46.34/12.10	
46.34/12.10	(0,true) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(1,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 1 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(2,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(2,true) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 1 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(3,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(0,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 1 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 1 |
46.34/12.10	 \         /
46.34/12.10	(1,true) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(4,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(5,false) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	(5,true) is interpreted by
46.34/12.10	 /         \
46.34/12.10	| 1 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 |
46.34/12.10	 \         /
46.34/12.10	
46.34/12.10	Remains to prove termination of the 69-rule system
46.34/12.10	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) (5,false) -> (2,true) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.10	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.10	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.10	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.10	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.10	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.10	
46.34/12.10	
46.34/12.10	The system was filtered by the following matrix interpretation
46.34/12.10	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.10	
46.34/12.10	(0,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 1 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(1,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 1 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(2,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 1 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(2,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(3,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(0,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 1 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 1 |
46.34/12.10	 \           /
46.34/12.10	(1,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(4,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(5,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(5,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	
46.34/12.10	Remains to prove termination of the 68-rule system
46.34/12.10	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,true) (4,false) (0,false) (1,false) (5,false) -> (1,true) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.10	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.10	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.10	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.10	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.10	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.10	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.10	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.10	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.10	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.10	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.10	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.10	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.10	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.10	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.10	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.10	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.10	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.10	
46.34/12.10	
46.34/12.10	The system was filtered by the following matrix interpretation
46.34/12.10	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.10	
46.34/12.10	(0,true) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	 \           /
46.34/12.10	(1,false) is interpreted by
46.34/12.10	 /           \
46.34/12.10	| 1 0 0 0 0 0 |
46.34/12.10	| 0 1 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.10	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 1 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(2,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(2,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(3,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(0,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 1 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 1 |
46.34/12.11	 \           /
46.34/12.11	(1,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 1 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(4,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 1 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(5,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(5,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	
46.34/12.11	Remains to prove termination of the 67-rule system
46.34/12.11	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.11	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.11	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.11	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.11	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.11	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.11	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.11	  (0,true) (1,false) (4,false) (2,false) (5,false) -> (2,true) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.11	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.11	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.11	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.11	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.11	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.11	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.11	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.11	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.11	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.11	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.11	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.11	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.11	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.11	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.11	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.11	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.11	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.11	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.11	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.11	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.11	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.11	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.11	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.11	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.11	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.11	
46.34/12.11	
46.34/12.11	The system was filtered by the following matrix interpretation
46.34/12.11	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.11	
46.34/12.11	(0,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 1 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(1,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 1 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(2,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 1 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(2,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(3,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(0,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(1,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(4,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 1 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(5,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(5,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	
46.34/12.11	Remains to prove termination of the 66-rule system
46.34/12.11	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.11	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.11	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.11	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.11	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.11	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.11	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.11	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.11	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.11	  (0,true) (5,false) (0,false) (1,false) (5,false) -> (0,true) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.11	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.11	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.11	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.11	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.11	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.11	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.11	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.11	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.11	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.11	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.11	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.11	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.11	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.11	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.11	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.11	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.11	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.11	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.11	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.11	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.11	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.11	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.11	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.11	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.11	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.11	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.11	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.11	
46.34/12.11	
46.34/12.11	The system was filtered by the following matrix interpretation
46.34/12.11	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.11	
46.34/12.11	(0,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 1 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(1,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 1 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(2,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(2,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(3,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(0,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 1 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 1 |
46.34/12.11	 \           /
46.34/12.11	(1,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(4,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(5,false) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 1 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	(5,true) is interpreted by
46.34/12.11	 /           \
46.34/12.11	| 1 0 0 0 0 0 |
46.34/12.11	| 0 1 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	| 0 0 0 0 0 0 |
46.34/12.11	 \           /
46.34/12.11	
46.34/12.11	Remains to prove termination of the 65-rule system
46.34/12.11	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (2,false) (5,false) -> (2,true) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.12	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.12	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.12	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.12	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.12	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.12	
46.34/12.12	
46.34/12.12	The system was filtered by the following matrix interpretation
46.34/12.12	of type E_J with J = {1,...,2} and dimension 5:
46.34/12.12	
46.34/12.12	(0,true) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 1 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(1,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 1 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(2,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 |
46.34/12.12	| 0 0 0 0 1 |
46.34/12.12	 \         /
46.34/12.12	(2,true) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(3,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(0,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 1 1 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(1,true) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(4,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 1 0 |
46.34/12.12	 \         /
46.34/12.12	(5,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(5,true) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	
46.34/12.12	Remains to prove termination of the 63-rule system
46.34/12.12	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (0,true) (4,false) (0,false) (2,false) (1,false) -> (0,true) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.12	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.12	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.12	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.12	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.12	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.12	
46.34/12.12	
46.34/12.12	The system was filtered by the following matrix interpretation
46.34/12.12	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.12	
46.34/12.12	(0,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 1 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(1,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(2,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 1 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(2,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(3,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(0,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 1 |
46.34/12.12	 \           /
46.34/12.12	(1,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(4,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 1 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(5,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(5,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	
46.34/12.12	Remains to prove termination of the 62-rule system
46.34/12.12	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (2,true) (0,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.12	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.12	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.12	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.12	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.12	
46.34/12.12	
46.34/12.12	The system was filtered by the following matrix interpretation
46.34/12.12	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.12	
46.34/12.12	(0,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(1,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(2,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 1 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(2,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 1 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(3,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(0,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 1 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 1 |
46.34/12.12	 \           /
46.34/12.12	(1,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(4,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(5,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(5,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	
46.34/12.12	Remains to prove termination of the 61-rule system
46.34/12.12	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,true) (2,false) (4,false) (2,false) (1,false) -> (2,true) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.12	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.12	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.12	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.12	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.12	
46.34/12.12	
46.34/12.12	The system was filtered by the following matrix interpretation
46.34/12.12	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.12	
46.34/12.12	(0,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 1 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(1,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(2,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 1 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 1 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(2,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(3,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(0,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 1 |
46.34/12.12	 \           /
46.34/12.12	(1,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(4,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(5,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(5,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	
46.34/12.12	Remains to prove termination of the 60-rule system
46.34/12.12	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.12	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) ->= (2,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.12	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.12	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (5,false) (2,false) ->= (2,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.12	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.12	
46.34/12.12	
46.34/12.12	The system was filtered by the following matrix interpretation
46.34/12.12	of type E_J with J = {1,...,2} and dimension 5:
46.34/12.12	
46.34/12.12	(0,true) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(1,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 1 0 |
46.34/12.12	| 0 0 0 0 1 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(2,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 1 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(2,true) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(3,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(0,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 1 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 |
46.34/12.12	 \         /
46.34/12.12	(1,true) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(4,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(5,false) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	(5,true) is interpreted by
46.34/12.12	 /         \
46.34/12.12	| 1 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 |
46.34/12.12	 \         /
46.34/12.12	
46.34/12.12	Remains to prove termination of the 58-rule system
46.34/12.12	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.34/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.34/12.12	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.34/12.12	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.34/12.12	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.34/12.12	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.34/12.12	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.34/12.12	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.34/12.12	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.34/12.12	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.34/12.12	  (2,false) (0,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (4,false) (2,false) (3,false) (0,false) ,
46.34/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.34/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.34/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.34/12.12	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.34/12.12	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.34/12.12	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.34/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.34/12.12	
46.34/12.12	
46.34/12.12	The system was filtered by the following matrix interpretation
46.34/12.12	of type E_J with J = {1,...,2} and dimension 6:
46.34/12.12	
46.34/12.12	(0,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(1,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 1 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(2,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 1 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 1 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(2,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(3,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(0,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 1 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 1 |
46.34/12.12	 \           /
46.34/12.12	(1,true) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(4,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 1 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(5,false) is interpreted by
46.34/12.12	 /           \
46.34/12.12	| 1 0 0 0 0 0 |
46.34/12.12	| 0 1 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	| 0 0 0 0 0 0 |
46.34/12.12	 \           /
46.34/12.12	(5,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 57-rule system
46.61/12.12	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.61/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (2,true) (0,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (1,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.61/12.12	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.61/12.12	  (0,false) (1,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (0,false) (1,false) (5,false) (1,false) ->= (1,false) (0,false) (3,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.61/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.61/12.12	  (0,false) (1,false) (5,false) (2,false) ->= (3,false) (1,false) (3,false) (0,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (5,false) (5,false) ->= (1,false) (3,false) (0,false) (5,false) (5,false) ,
46.61/12.12	  (0,false) (2,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (1,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (3,false) (0,false) (5,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (5,false) (0,false) (1,false) (2,false) ->= (4,false) (2,false) (3,false) (0,false) (5,false) (1,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (0,false) (1,false) ->= (0,false) (0,false) (1,false) (0,false) (0,false) (3,false) ,
46.61/12.12	  (0,false) (0,false) (1,false) (2,false) (5,false) ->= (2,false) (0,false) (0,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (0,false) (0,false) (1,false) (5,false) (2,false) ->= (0,false) (1,false) (0,false) (3,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (0,false) (4,false) (5,false) ->= (5,false) (4,false) (0,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,false) (1,false) (1,false) (1,false) (2,false) ->= (1,false) (0,false) (3,false) (1,false) (1,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (2,false) (1,false) (5,false) ->= (2,false) (1,false) (0,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (0,false) (1,false) (3,false) (5,false) (2,false) ->= (3,false) (0,false) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (4,false) (2,false) (5,false) ->= (2,false) (4,false) (3,false) (0,false) (5,false) (1,false) ,
46.61/12.12	  (0,false) (1,false) (4,false) (4,false) (2,false) ->= (1,false) (0,false) (4,false) (4,false) (4,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (5,false) (0,false) (1,false) ->= (0,false) (1,false) (1,false) (0,false) (5,false) (3,false) ,
46.61/12.12	  (0,false) (1,false) (5,false) (0,false) (5,false) ->= (3,false) (5,false) (1,false) (0,false) (5,false) (0,false) ,
46.61/12.12	  (0,false) (2,false) (4,false) (2,false) (1,false) ->= (2,false) (1,false) (2,false) (4,false) (3,false) (0,false) ,
46.61/12.12	  (0,false) (4,false) (0,false) (2,false) (1,false) ->= (3,false) (0,false) (4,false) (1,false) (2,false) (0,false) ,
46.61/12.12	  (0,false) (5,false) (0,false) (1,false) (5,false) ->= (0,false) (5,false) (0,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (0,false) (0,false) (1,false) (5,false) ->= (5,false) (1,false) (0,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (0,false) (1,false) (4,false) (5,false) ->= (1,false) (4,false) (4,false) (1,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (4,false) (0,false) (1,false) (5,false) ->= (1,false) (4,false) (1,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (0,false) (1,false) (4,false) (5,false) ->= (4,false) (1,false) (0,false) (3,false) (5,false) (5,false) ,
46.61/12.12	  (5,false) (1,false) (0,false) (1,false) (5,false) ->= (3,false) (1,false) (5,false) (1,false) (0,false) (5,false) ,
46.61/12.12	  (5,false) (4,false) (0,false) (2,false) (1,false) ->= (4,false) (1,false) (3,false) (5,false) (2,false) (0,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 6:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 1 1 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 1 0 1 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 1 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 1 0 0 1 |
46.61/12.12	 \           /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 1 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 1 0 0 1 |
46.61/12.12	 \           /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 23-rule system
46.61/12.12	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.61/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (1,false) (2,false) (1,false) ->= (0,false) (1,false) (2,false) (4,false) (1,false) (3,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 5:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 1 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 1 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 22-rule system
46.61/12.12	{ (0,true) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.61/12.12	  (0,true) (1,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 4:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 1 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	 \       /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 1 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	 \       /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	 \       /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	 \       /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	 \       /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	 \       /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	 \       /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	 \       /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	 \       /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /       \
46.61/12.12	| 1 0 0 0 |
46.61/12.12	| 0 1 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	| 0 0 0 0 |
46.61/12.12	 \       /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 20-rule system
46.61/12.12	{ (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (1,false) (2,false) -> (2,true) (3,false) (0,false) (3,false) (1,false) (1,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 5:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 1 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 1 0 |
46.61/12.12	| 0 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 19-rule system
46.61/12.12	{ (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (0,false) (3,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (5,false) (2,false) -> (2,true) (4,false) (3,false) (1,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 5:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 1 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 1 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 17-rule system
46.61/12.12	{ (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,true) (2,false) (1,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (3,false) (1,false) ,
46.61/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 5:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 1 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 1 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 16-rule system
46.61/12.12	{ (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,true) (2,false) (5,false) (2,false) -> (2,true) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 5:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 1 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 1 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /         \
46.61/12.12	| 1 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 |
46.61/12.12	 \         /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 15-rule system
46.61/12.12	{ (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,true) (1,false) (3,false) (5,false) (2,false) -> (0,true) (4,false) (1,false) (5,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 6:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 1 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 1 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 1 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 14-rule system
46.61/12.12	{ (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (2,true) (0,false) (5,false) (1,false) (2,false) -> (0,true) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.12	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.12	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.12	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.12	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.12	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.12	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.12	
46.61/12.12	
46.61/12.12	The system was filtered by the following matrix interpretation
46.61/12.12	of type E_J with J = {1,...,2} and dimension 6:
46.61/12.12	
46.61/12.12	(0,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(1,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 1 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(2,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(2,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 1 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(3,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(0,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 1 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(1,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(4,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(5,false) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 1 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	(5,true) is interpreted by
46.61/12.12	 /           \
46.61/12.12	| 1 0 0 0 0 0 |
46.61/12.12	| 0 1 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	| 0 0 0 0 0 0 |
46.61/12.12	 \           /
46.61/12.12	
46.61/12.12	Remains to prove termination of the 13-rule system
46.61/12.12	{ (0,true) (0,false) (2,false) (2,false) -> (2,true) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.12	  (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.12	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.13	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.13	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.13	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.13	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.13	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.13	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.13	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.13	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.13	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.13	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.13	
46.61/12.13	
46.61/12.13	The system was filtered by the following matrix interpretation
46.61/12.13	of type E_J with J = {1,...,2} and dimension 2:
46.61/12.13	
46.61/12.13	(0,true) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 1 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(1,false) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(2,false) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(2,true) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(3,false) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(0,false) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(1,true) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(4,false) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(5,false) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	(5,true) is interpreted by
46.61/12.13	 /   \
46.61/12.13	| 1 0 |
46.61/12.13	| 0 1 |
46.61/12.13	 \   /
46.61/12.13	
46.61/12.13	Remains to prove termination of the 12-rule system
46.61/12.13	{ (2,true) (2,false) (1,false) (1,false) (2,false) -> (2,true) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.13	  (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.13	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.13	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.13	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.13	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.13	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.13	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.13	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.13	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.13	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.13	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.13	
46.61/12.13	
46.61/12.13	The system was filtered by the following matrix interpretation
46.61/12.13	of type E_J with J = {1,...,2} and dimension 6:
46.61/12.13	
46.61/12.13	(0,true) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(1,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 1 0 |
46.61/12.13	| 0 0 0 0 0 1 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(2,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 1 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(2,true) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 1 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(3,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(0,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(1,true) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(4,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(5,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(5,true) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	
46.61/12.13	Remains to prove termination of the 11-rule system
46.61/12.13	{ (2,true) (5,false) (1,false) (5,false) (2,false) -> (2,true) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.13	  (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.13	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.13	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.13	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.13	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.13	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.13	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.13	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.13	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.13	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.13	
46.61/12.13	
46.61/12.13	The system was filtered by the following matrix interpretation
46.61/12.13	of type E_J with J = {1,...,2} and dimension 6:
46.61/12.13	
46.61/12.13	(0,true) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(1,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 1 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(2,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(2,true) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 1 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(3,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(0,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(1,true) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(4,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(5,false) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 1 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 1 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	(5,true) is interpreted by
46.61/12.13	 /           \
46.61/12.13	| 1 0 0 0 0 0 |
46.61/12.13	| 0 1 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	| 0 0 0 0 0 0 |
46.61/12.13	 \           /
46.61/12.13	
46.61/12.13	Remains to prove termination of the 10-rule system
46.61/12.13	{ (0,false) (0,false) (0,false) (2,false) ->= (3,false) (0,false) (0,false) (3,false) (0,false) (2,false) ,
46.61/12.13	  (0,false) (0,false) (2,false) (2,false) ->= (2,false) (3,false) (0,false) (0,false) (3,false) (2,false) ,
46.61/12.13	  (0,false) (2,false) (5,false) (2,false) ->= (2,false) (2,false) (3,false) (0,false) (5,false) ,
46.61/12.13	  (1,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (1,false) ,
46.61/12.13	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (3,false) (5,false) (5,false) (3,false) (1,false) ,
46.61/12.13	  (1,false) (5,false) (5,false) (1,false) ->= (1,false) (5,false) (3,false) (1,false) (5,false) (3,false) ,
46.61/12.13	  (2,false) (0,false) (5,false) (1,false) (2,false) ->= (0,false) (3,false) (1,false) (5,false) (2,false) (2,false) ,
46.61/12.13	  (2,false) (2,false) (1,false) (1,false) (2,false) ->= (2,false) (2,false) (1,false) (3,false) (1,false) (2,false) ,
46.61/12.13	  (2,false) (5,false) (1,false) (5,false) (2,false) ->= (2,false) (4,false) (1,false) (5,false) (5,false) (2,false) ,
46.61/12.13	  (5,false) (5,false) (1,false) (4,false) (5,false) ->= (5,false) (4,false) (1,false) (3,false) (5,false) (5,false) }
46.61/12.13	
46.61/12.13	
46.61/12.13	The system is trivially terminating.
54.75/14.91	EOF