21.13/5.65	YES
21.50/5.73	
21.50/5.73	
21.50/5.73	The system was reversed.
21.50/5.73	
21.50/5.73	Remains to prove termination of the 50-rule system
21.50/5.73	{ 1 0 0 -> 1 0 3 2 0 ,
21.50/5.73	  1 0 0 -> 1 4 5 0 4 0 ,
21.50/5.73	  1 0 0 -> 4 3 0 0 1 2 ,
21.50/5.73	  1 0 0 -> 1 0 4 5 0 4 ,
21.50/5.73	  0 1 0 -> 2 1 2 0 0 ,
21.50/5.73	  0 1 0 -> 4 5 0 0 1 ,
21.50/5.73	  0 1 0 -> 1 4 5 2 0 0 ,
21.50/5.73	  1 1 0 -> 1 4 3 0 1 ,
21.50/5.73	  1 1 0 -> 1 1 4 3 0 5 ,
21.50/5.73	  1 0 5 -> 1 4 5 0 ,
21.50/5.73	  1 0 5 -> 1 0 4 5 2 ,
21.50/5.73	  1 0 5 -> 2 1 2 0 5 ,
21.50/5.73	  1 0 5 -> 4 4 5 4 1 0 ,
21.50/5.73	  1 0 5 -> 4 4 1 4 5 0 ,
21.50/5.73	  1 0 5 -> 1 0 3 4 0 5 ,
21.50/5.73	  0 1 5 -> 1 2 2 0 5 ,
21.50/5.73	  0 1 5 -> 1 4 5 0 5 ,
21.50/5.73	  0 1 5 -> 1 2 2 0 5 0 ,
21.50/5.73	  0 1 5 -> 3 2 5 0 4 1 ,
21.50/5.73	  0 1 5 -> 2 4 4 0 5 1 ,
21.50/5.73	  0 1 5 -> 5 4 0 1 4 4 ,
21.50/5.73	  1 1 5 -> 4 5 1 1 ,
21.50/5.73	  1 1 5 -> 1 1 4 5 ,
21.50/5.73	  1 1 5 -> 1 4 3 5 1 ,
21.50/5.73	  1 1 5 -> 4 4 5 4 1 1 ,
21.50/5.73	  1 1 5 -> 1 1 3 2 5 3 ,
21.50/5.73	  1 1 5 -> 4 5 1 2 1 4 ,
21.50/5.73	  0 3 1 0 -> 3 1 2 0 2 0 ,
21.50/5.73	  0 5 1 0 -> 5 1 4 5 0 0 ,
21.50/5.73	  0 5 1 0 -> 0 1 2 4 5 0 ,
21.50/5.73	  1 0 3 0 -> 0 3 1 4 0 0 ,
21.50/5.73	  0 1 3 0 -> 1 3 2 0 0 ,
21.50/5.73	  1 1 3 0 -> 4 3 0 1 1 5 ,
21.50/5.73	  0 1 0 5 -> 3 1 4 0 0 5 ,
21.50/5.73	  0 2 1 5 -> 2 4 5 0 4 1 ,
21.50/5.73	  0 2 1 5 -> 1 2 2 4 0 5 ,
21.50/5.73	  0 4 1 5 -> 3 2 0 4 5 1 ,
21.50/5.73	  0 4 1 5 -> 0 3 1 2 5 4 ,
21.50/5.73	  1 5 1 5 -> 1 5 1 4 5 ,
21.50/5.73	  1 0 3 5 -> 3 2 5 1 0 ,
21.50/5.73	  0 1 3 5 -> 0 5 3 4 1 ,
21.50/5.73	  0 1 3 5 -> 3 4 0 5 1 ,
21.50/5.73	  0 1 3 5 -> 0 1 3 4 5 ,
21.50/5.73	  0 1 3 5 -> 5 3 4 0 3 1 ,
21.50/5.73	  1 1 3 5 -> 4 3 3 5 1 1 ,
21.50/5.73	  0 5 2 1 0 -> 0 2 0 4 5 1 ,
21.50/5.73	  0 2 4 1 0 -> 0 3 2 4 0 1 ,
21.50/5.73	  0 1 5 4 1 -> 0 1 1 2 4 5 ,
21.50/5.73	  0 4 1 0 5 -> 0 0 4 5 4 1 ,
21.50/5.73	  0 0 1 5 5 -> 0 1 4 0 5 5 }
21.50/5.73	
21.50/5.73	
21.50/5.73	The dependency pairs transformation was applied.
21.50/5.73	
21.50/5.73	Remains to prove termination of the 159-rule system
21.50/5.73	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (3,false) (2,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (4,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (4,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) (2,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (0,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (0,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (0,true) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (0,true) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (0,true) (4,false) (5,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (0,true) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (0,true) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (5,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (1,false) (4,false) (4,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (4,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (4,false) ,
21.50/5.73	  (0,true) (3,false) (1,false) (0,false) -> (1,true) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.73	  (0,true) (3,false) (1,false) (0,false) -> (0,true) (2,false) (0,false) ,
21.50/5.73	  (0,true) (3,false) (1,false) (0,false) -> (0,true) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (0,true) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (0,true) ,
21.50/5.73	  (0,true) (1,false) (3,false) (0,false) -> (1,true) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (0,false) -> (0,true) (0,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (0,false) -> (0,true) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (5,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) (5,false) -> (1,true) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) (5,false) -> (0,true) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) (5,false) -> (0,true) (5,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (5,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.73	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (4,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (5,false) -> (0,true) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (5,false) (2,false) (1,false) (0,false) -> (0,true) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,true) (5,false) (2,false) (1,false) (0,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,true) (5,false) (2,false) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (0,true) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (0,true) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (1,true) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (1,true) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.73	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.73	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (5,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.73	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.73	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.73	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.73	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.73	
21.50/5.73	
21.50/5.73	
21.50/5.73	
21.50/5.73	The system was filtered by the following matrix interpretation
21.50/5.73	of type E_J with J = {1,...,2} and dimension 2:
21.50/5.73	
21.50/5.73	(1,true) is interpreted by
21.50/5.73	 /   \
21.50/5.73	| 1 1 |
21.50/5.73	| 0 1 |
21.50/5.73	 \   /
21.50/5.73	(0,false) is interpreted by
21.50/5.73	 /   \
21.50/5.73	| 1 0 |
21.50/5.73	| 0 1 |
21.50/5.73	 \   /
21.50/5.73	(3,false) is interpreted by
21.50/5.73	 /   \
21.50/5.73	| 1 0 |
21.50/5.73	| 0 1 |
21.50/5.73	 \   /
21.50/5.73	(2,false) is interpreted by
21.50/5.73	 /   \
21.50/5.73	| 1 0 |
21.50/5.73	| 0 1 |
21.50/5.73	 \   /
21.50/5.73	(0,true) is interpreted by
21.50/5.73	 /   \
21.50/5.73	| 1 0 |
21.50/5.73	| 0 1 |
21.50/5.73	 \   /
21.50/5.73	(4,false) is interpreted by
21.50/5.73	 /   \
21.50/5.73	| 1 0 |
21.50/5.73	| 0 1 |
21.50/5.73	 \   /
21.50/5.73	(5,false) is interpreted by
21.50/5.73	 /   \
21.50/5.73	| 1 0 |
21.50/5.73	| 0 1 |
21.50/5.73	 \   /
21.50/5.73	(1,false) is interpreted by
21.50/5.73	 /   \
21.50/5.73	| 1 1 |
21.50/5.73	| 0 1 |
21.50/5.73	 \   /
21.50/5.73	
21.50/5.73	Remains to prove termination of the 120-rule system
21.50/5.73	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) (2,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (0,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (1,false) (4,false) (4,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (4,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.73	  (0,true) (3,false) (1,false) (0,false) -> (1,true) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (0,false) -> (1,true) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) (5,false) -> (1,true) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.73	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.73	  (0,true) (5,false) (2,false) (1,false) (0,false) -> (0,true) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,true) (5,false) (2,false) (1,false) (0,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,true) (5,false) (2,false) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (0,true) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (0,true) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (1,true) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.73	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.73	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.73	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.73	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.73	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.73	
21.50/5.73	
21.50/5.73	The system was filtered by the following matrix interpretation
21.50/5.73	of type E_J with J = {1,...,2} and dimension 6:
21.50/5.73	
21.50/5.73	(1,true) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(0,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(3,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(2,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 1 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(0,true) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 1 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(4,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(5,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 1 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(1,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 1 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	
21.50/5.73	Remains to prove termination of the 117-rule system
21.50/5.73	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) (2,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (0,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (1,false) (4,false) (4,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (4,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.73	  (0,true) (3,false) (1,false) (0,false) -> (1,true) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (0,false) -> (1,true) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) (5,false) -> (1,true) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.73	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (0,true) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.73	  (0,true) (2,false) (4,false) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (0,true) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (1,true) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.73	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.73	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.73	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.73	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.73	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.73	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.73	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.73	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.73	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.73	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.73	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.73	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.73	
21.50/5.73	
21.50/5.73	The system was filtered by the following matrix interpretation
21.50/5.73	of type E_J with J = {1,...,2} and dimension 6:
21.50/5.73	
21.50/5.73	(1,true) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(0,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(3,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(2,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 1 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(0,true) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 1 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(4,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 1 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(5,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	(1,false) is interpreted by
21.50/5.73	 /           \
21.50/5.73	| 1 0 0 0 0 0 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 0 |
21.50/5.73	| 0 0 0 0 0 1 |
21.50/5.73	| 0 1 0 0 0 0 |
21.50/5.73	 \           /
21.50/5.73	
21.50/5.73	Remains to prove termination of the 114-rule system
21.50/5.73	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.73	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) (2,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (0,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (0,false) -> (1,true) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.73	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (0,true) (1,false) (4,false) (4,false) ,
21.50/5.73	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (4,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.73	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.73	  (0,true) (3,false) (1,false) (0,false) -> (1,true) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.73	  (0,true) (1,false) (3,false) (0,false) -> (1,true) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.73	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.73	  (0,true) (1,false) (0,false) (5,false) -> (1,true) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.73	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (0,true) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (1,true) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 1 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	 \         /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 113-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,true) (1,false) (0,false) -> (1,true) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,true) (1,false) (0,false) -> (0,true) (0,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (0,false) -> (0,true) (1,false) ,
21.50/5.74	  (0,true) (1,false) (0,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (0,false) -> (1,true) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (1,false) (4,false) (4,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,true) (3,false) (1,false) (0,false) -> (1,true) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (0,false) (5,false) -> (1,true) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (0,true) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (1,true) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 4:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /       \
21.50/5.74	| 1 0 0 0 |
21.50/5.74	| 0 1 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	 \       /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /       \
21.50/5.74	| 1 0 0 0 |
21.50/5.74	| 0 1 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	| 0 1 0 1 |
21.50/5.74	 \       /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /       \
21.50/5.74	| 1 0 0 0 |
21.50/5.74	| 0 1 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	 \       /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /       \
21.50/5.74	| 1 0 0 0 |
21.50/5.74	| 0 1 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	 \       /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /       \
21.50/5.74	| 1 0 1 0 |
21.50/5.74	| 0 1 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	 \       /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /       \
21.50/5.74	| 1 0 0 0 |
21.50/5.74	| 0 1 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	| 0 0 1 0 |
21.50/5.74	 \       /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /       \
21.50/5.74	| 1 0 0 0 |
21.50/5.74	| 0 1 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	| 0 0 0 0 |
21.50/5.74	 \       /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /       \
21.50/5.74	| 1 0 0 0 |
21.50/5.74	| 0 1 0 0 |
21.50/5.74	| 0 0 0 1 |
21.50/5.74	| 0 0 0 1 |
21.50/5.74	 \       /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 107-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (1,false) (4,false) (4,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,true) (3,false) (1,false) (0,false) -> (1,true) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (0,true) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (1,true) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 8:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 1 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 1 0 0 1 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 106-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (0,true) (1,false) (4,false) (4,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) -> (1,true) (4,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (0,true) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (5,false) (4,false) (1,false) -> (1,true) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 7:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /             \
21.50/5.74	| 1 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	 \             /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /             \
21.50/5.74	| 1 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	 \             /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /             \
21.50/5.74	| 1 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 1 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	 \             /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /             \
21.50/5.74	| 1 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	 \             /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /             \
21.50/5.74	| 1 0 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	 \             /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /             \
21.50/5.74	| 1 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	 \             /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /             \
21.50/5.74	| 1 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	 \             /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /             \
21.50/5.74	| 1 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 |
21.50/5.74	| 0 0 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 1 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 1 0 0 0 |
21.50/5.74	 \             /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 96-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (0,true) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (0,true) (5,false) (1,false) (0,false) -> (1,true) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 8:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 1 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 1 0 0 1 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /               \
21.50/5.74	| 1 0 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 0 0 |
21.50/5.74	 \               /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 93-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (0,true) (4,false) (1,false) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (2,false) (1,false) (5,false) -> (1,true) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 1 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 90-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (0,true) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (5,false) -> (1,true) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (0,true) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (4,false) (1,false) (0,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 1 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 83-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (5,false) (1,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (1,true) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,true) (1,false) (3,false) (5,false) -> (0,true) (3,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 1 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 |
21.50/5.74	 \         /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 77-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (1,true) (5,false) (1,false) (5,false) -> (1,true) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 1 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 76-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (0,true) (1,false) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (0,true) (0,false) (1,false) (5,false) (5,false) -> (1,true) (4,false) (0,false) (5,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 6:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /           \
21.50/5.74	| 1 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	 \           /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /           \
21.50/5.74	| 1 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 1 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	 \           /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /           \
21.50/5.74	| 1 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	 \           /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /           \
21.50/5.74	| 1 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	 \           /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /           \
21.50/5.74	| 1 0 1 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	 \           /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /           \
21.50/5.74	| 1 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	 \           /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /           \
21.50/5.74	| 1 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 1 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	 \           /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /           \
21.50/5.74	| 1 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 1 |
21.50/5.74	 \           /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 74-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (0,true) (1,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (0,true) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (0,true) (1,false) (1,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 2:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /   \
21.50/5.74	| 1 1 |
21.50/5.74	| 0 1 |
21.50/5.74	 \   /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /   \
21.50/5.74	| 1 0 |
21.50/5.74	| 0 1 |
21.50/5.74	 \   /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /   \
21.50/5.74	| 1 0 |
21.50/5.74	| 0 1 |
21.50/5.74	 \   /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /   \
21.50/5.74	| 1 0 |
21.50/5.74	| 0 1 |
21.50/5.74	 \   /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /   \
21.50/5.74	| 1 0 |
21.50/5.74	| 0 1 |
21.50/5.74	 \   /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /   \
21.50/5.74	| 1 0 |
21.50/5.74	| 0 1 |
21.50/5.74	 \   /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /   \
21.50/5.74	| 1 0 |
21.50/5.74	| 0 1 |
21.50/5.74	 \   /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /   \
21.50/5.74	| 1 0 |
21.50/5.74	| 0 1 |
21.50/5.74	 \   /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 70-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (0,false) -> (1,true) (4,false) (0,false) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.74	
21.50/5.74	
21.50/5.74	The system was filtered by the following matrix interpretation
21.50/5.74	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.74	
21.50/5.74	(1,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 1 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(3,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 1 1 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(2,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(0,true) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(4,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(5,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 1 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	 \         /
21.50/5.74	(1,false) is interpreted by
21.50/5.74	 /         \
21.50/5.74	| 1 0 0 0 0 |
21.50/5.74	| 0 1 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 0 0 0 |
21.50/5.74	| 0 0 1 0 0 |
21.50/5.74	 \         /
21.50/5.74	
21.50/5.74	Remains to prove termination of the 69-rule system
21.50/5.74	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.74	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (0,false) -> (1,true) (1,false) (5,false) ,
21.50/5.74	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.74	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.74	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.74	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.74	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.74	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.74	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.74	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.74	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.74	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.74	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system was filtered by the following matrix interpretation
21.50/5.75	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.75	
21.50/5.75	(1,true) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 1 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(0,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 1 0 1 0 |
21.50/5.75	 \         /
21.50/5.75	(3,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 1 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(2,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(0,true) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(4,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(5,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 1 0 |
21.50/5.75	| 0 0 0 1 0 |
21.50/5.75	 \         /
21.50/5.75	(1,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 1 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 1 |
21.50/5.75	 \         /
21.50/5.75	
21.50/5.75	Remains to prove termination of the 68-rule system
21.50/5.75	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (1,true) (1,false) (0,false) -> (1,true) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,true) (1,false) (0,false) -> (1,true) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.75	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.75	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.75	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system was filtered by the following matrix interpretation
21.50/5.75	of type E_J with J = {1,...,2} and dimension 4:
21.50/5.75	
21.50/5.75	(1,true) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 1 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(0,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	 \       /
21.50/5.75	(3,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	 \       /
21.50/5.75	(2,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(0,true) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(4,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(5,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	 \       /
21.50/5.75	(1,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	 \       /
21.50/5.75	
21.50/5.75	Remains to prove termination of the 66-rule system
21.50/5.75	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.75	  (1,true) (0,false) (3,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.75	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.75	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system was filtered by the following matrix interpretation
21.50/5.75	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.75	
21.50/5.75	(1,true) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 1 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(0,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 1 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(3,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 1 1 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(2,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(0,true) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(4,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(5,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 1 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(1,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 1 0 0 |
21.50/5.75	 \         /
21.50/5.75	
21.50/5.75	Remains to prove termination of the 65-rule system
21.50/5.75	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (2,false) ,
21.50/5.75	  (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.75	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.75	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.75	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system was filtered by the following matrix interpretation
21.50/5.75	of type E_J with J = {1,...,2} and dimension 4:
21.50/5.75	
21.50/5.75	(1,true) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 1 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(0,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	 \       /
21.50/5.75	(3,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(2,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(0,true) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(4,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	 \       /
21.50/5.75	(5,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	 \       /
21.50/5.75	(1,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	 \       /
21.50/5.75	
21.50/5.75	Remains to prove termination of the 62-rule system
21.50/5.75	{ (1,true) (0,false) (0,false) -> (1,true) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.75	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.75	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.75	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system was filtered by the following matrix interpretation
21.50/5.75	of type E_J with J = {1,...,2} and dimension 7:
21.50/5.75	
21.50/5.75	(1,true) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(0,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 1 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 1 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(3,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 1 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(2,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(0,true) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(4,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 1 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(5,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(1,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 1 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 1 |
21.50/5.75	 \             /
21.50/5.75	
21.50/5.75	Remains to prove termination of the 61-rule system
21.50/5.75	{ (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.75	  (1,true) (1,false) (3,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.75	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.75	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system was filtered by the following matrix interpretation
21.50/5.75	of type E_J with J = {1,...,2} and dimension 5:
21.50/5.75	
21.50/5.75	(1,true) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 1 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(0,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(3,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 1 1 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(2,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(0,true) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(4,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(5,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 1 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	 \         /
21.50/5.75	(1,false) is interpreted by
21.50/5.75	 /         \
21.50/5.75	| 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 |
21.50/5.75	| 0 0 0 1 0 |
21.50/5.75	| 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 1 |
21.50/5.75	 \         /
21.50/5.75	
21.50/5.75	Remains to prove termination of the 60-rule system
21.50/5.75	{ (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,true) (1,false) (5,false) -> (1,true) (2,false) (1,false) (4,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.75	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.75	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system was filtered by the following matrix interpretation
21.50/5.75	of type E_J with J = {1,...,2} and dimension 4:
21.50/5.75	
21.50/5.75	(1,true) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 1 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(0,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	 \       /
21.50/5.75	(3,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(2,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(0,true) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(4,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	 \       /
21.50/5.75	(5,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 0 |
21.50/5.75	| 0 1 0 1 |
21.50/5.75	 \       /
21.50/5.75	(1,false) is interpreted by
21.50/5.75	 /       \
21.50/5.75	| 1 0 0 0 |
21.50/5.75	| 0 1 0 0 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	| 0 0 0 1 |
21.50/5.75	 \       /
21.50/5.75	
21.50/5.75	Remains to prove termination of the 55-rule system
21.50/5.75	{ (1,true) (0,false) (5,false) -> (1,true) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) ,
21.50/5.75	  (1,true) (0,false) (5,false) -> (1,true) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.75	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.75	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system was filtered by the following matrix interpretation
21.50/5.75	of type E_J with J = {1,...,2} and dimension 7:
21.50/5.75	
21.50/5.75	(1,true) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 1 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(0,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 1 0 0 0 |
21.50/5.75	| 0 1 0 0 1 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(3,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(2,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(0,true) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(4,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 1 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(5,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 1 0 0 0 |
21.50/5.75	| 0 0 0 0 0 1 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	(1,false) is interpreted by
21.50/5.75	 /             \
21.50/5.75	| 1 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 0 |
21.50/5.75	| 0 0 0 0 0 0 1 |
21.50/5.75	| 0 1 0 0 0 0 0 |
21.50/5.75	 \             /
21.50/5.75	
21.50/5.75	Remains to prove termination of the 50-rule system
21.50/5.75	{ (1,false) (0,false) (0,false) ->= (1,false) (0,false) (3,false) (2,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (4,false) (5,false) (0,false) (4,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (4,false) (3,false) (0,false) (0,false) (1,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (0,false) ->= (1,false) (0,false) (4,false) (5,false) (0,false) (4,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (2,false) (1,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (4,false) (5,false) (0,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) ->= (1,false) (4,false) (5,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (4,false) (3,false) (0,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (0,false) ->= (1,false) (1,false) (4,false) (3,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (4,false) (5,false) (2,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (2,false) (1,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (4,false) (4,false) (1,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (5,false) ->= (1,false) (0,false) (3,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (4,false) (5,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (0,false) (5,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (3,false) (2,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (2,false) (4,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) ->= (5,false) (4,false) (0,false) (1,false) (4,false) (4,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (4,false) (3,false) (5,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (4,false) (5,false) (4,false) (1,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (1,false) (1,false) (3,false) (2,false) (5,false) (3,false) ,
21.50/5.75	  (1,false) (1,false) (5,false) ->= (4,false) (5,false) (1,false) (2,false) (1,false) (4,false) ,
21.50/5.75	  (0,false) (3,false) (1,false) (0,false) ->= (3,false) (1,false) (2,false) (0,false) (2,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (5,false) (1,false) (4,false) (5,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (5,false) (1,false) (0,false) ->= (0,false) (1,false) (2,false) (4,false) (5,false) (0,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (0,false) ->= (0,false) (3,false) (1,false) (4,false) (0,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (0,false) ->= (1,false) (3,false) (2,false) (0,false) (0,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (0,false) ->= (4,false) (3,false) (0,false) (1,false) (1,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (0,false) (5,false) ->= (3,false) (1,false) (4,false) (0,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (2,false) (4,false) (5,false) (0,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (1,false) (5,false) ->= (1,false) (2,false) (2,false) (4,false) (0,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (3,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (5,false) ->= (0,false) (3,false) (1,false) (2,false) (5,false) (4,false) ,
21.50/5.75	  (1,false) (5,false) (1,false) (5,false) ->= (1,false) (5,false) (1,false) (4,false) (5,false) ,
21.50/5.75	  (1,false) (0,false) (3,false) (5,false) ->= (3,false) (2,false) (5,false) (1,false) (0,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (5,false) (3,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (3,false) (4,false) (0,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (0,false) (1,false) (3,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (1,false) (3,false) (5,false) ->= (5,false) (3,false) (4,false) (0,false) (3,false) (1,false) ,
21.50/5.75	  (1,false) (1,false) (3,false) (5,false) ->= (4,false) (3,false) (3,false) (5,false) (1,false) (1,false) ,
21.50/5.75	  (0,false) (5,false) (2,false) (1,false) (0,false) ->= (0,false) (2,false) (0,false) (4,false) (5,false) (1,false) ,
21.50/5.75	  (0,false) (2,false) (4,false) (1,false) (0,false) ->= (0,false) (3,false) (2,false) (4,false) (0,false) (1,false) ,
21.50/5.75	  (0,false) (1,false) (5,false) (4,false) (1,false) ->= (0,false) (1,false) (1,false) (2,false) (4,false) (5,false) ,
21.50/5.75	  (0,false) (4,false) (1,false) (0,false) (5,false) ->= (0,false) (0,false) (4,false) (5,false) (4,false) (1,false) ,
21.50/5.75	  (0,false) (0,false) (1,false) (5,false) (5,false) ->= (0,false) (1,false) (4,false) (0,false) (5,false) (5,false) }
21.50/5.75	
21.50/5.75	
21.50/5.75	The system is trivially terminating.
21.50/5.80	EOF