24.66/6.51	YES
25.28/6.68	
25.28/6.68	
25.28/6.68	The system was filtered by the following matrix interpretation
25.28/6.68	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.68	
25.28/6.68	0 is interpreted by
25.28/6.68	 /               \
25.28/6.68	| 1 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	 \               /
25.28/6.68	1 is interpreted by
25.28/6.68	 /               \
25.28/6.68	| 1 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 1 0 0 0 |
25.28/6.68	| 0 0 0 0 0 1 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 1 |
25.28/6.68	| 0 1 0 0 0 0 0 0 |
25.28/6.68	 \               /
25.28/6.68	2 is interpreted by
25.28/6.68	 /               \
25.28/6.68	| 1 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 1 0 0 |
25.28/6.68	 \               /
25.28/6.68	3 is interpreted by
25.28/6.68	 /               \
25.28/6.68	| 1 0 1 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 1 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 1 0 0 0 0 0 |
25.28/6.68	 \               /
25.28/6.68	5 is interpreted by
25.28/6.68	 /               \
25.28/6.68	| 1 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	 \               /
25.28/6.68	4 is interpreted by
25.28/6.68	 /               \
25.28/6.68	| 1 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 1 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 |
25.28/6.68	 \               /
25.28/6.68	
25.28/6.68	Remains to prove termination of the 59-rule system
25.28/6.68	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.68	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.68	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.68	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.68	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.68	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.68	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.68	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.68	  3 5 2 5 4 1 -> 3 0 2 0 0 4 2 3 0 0 ,
25.28/6.68	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.68	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.68	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.68	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.68	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.68	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.68	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.68	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.68	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.68	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.68	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.68	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.68	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.68	  1 3 3 5 1 1 1 -> 1 0 0 3 1 0 0 2 2 2 ,
25.28/6.68	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.68	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.68	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.68	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.68	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.68	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.68	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.68	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.68	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.68	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.68	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.68	  3 1 3 1 4 4 0 -> 3 2 1 4 0 2 0 0 4 2 ,
25.28/6.68	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.68	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.68	  3 3 5 1 5 1 1 -> 5 3 0 2 4 5 5 4 3 1 ,
25.28/6.68	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.68	  3 3 5 3 0 1 1 -> 5 1 4 5 5 3 5 4 5 1 ,
25.28/6.68	  3 4 2 0 4 1 1 -> 5 3 3 0 2 0 2 5 5 1 ,
25.28/6.68	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.68	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.68	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.68	  4 3 3 5 1 4 1 -> 5 3 5 0 0 5 3 2 0 4 ,
25.28/6.68	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.68	  4 4 3 3 3 4 1 -> 4 0 1 0 2 1 0 2 0 2 ,
25.28/6.68	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.68	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.68	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.68	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.68	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.68	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.68	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.68	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.68	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.68	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.68	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.68	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.68	
25.28/6.68	
25.28/6.68	The system was filtered by the following matrix interpretation
25.28/6.68	of type E_J with J = {1,...,2} and dimension 10:
25.28/6.68	
25.28/6.68	0 is interpreted by
25.28/6.68	 /                   \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                   /
25.28/6.68	1 is interpreted by
25.28/6.68	 /                   \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 1 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                   /
25.28/6.68	2 is interpreted by
25.28/6.68	 /                   \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 1 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 1 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 1 0 0 |
25.28/6.68	 \                   /
25.28/6.68	3 is interpreted by
25.28/6.68	 /                   \
25.28/6.68	| 1 0 1 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 1 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                   /
25.28/6.68	5 is interpreted by
25.28/6.68	 /                   \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 1 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 1 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                   /
25.28/6.68	4 is interpreted by
25.28/6.68	 /                   \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 1 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                   /
25.28/6.68	
25.28/6.68	Remains to prove termination of the 58-rule system
25.28/6.68	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.68	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.68	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.68	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.68	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.68	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.68	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.68	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.68	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.68	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.68	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.68	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.68	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.68	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.68	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.68	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.68	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.68	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.68	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.68	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.68	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.68	  1 3 3 5 1 1 1 -> 1 0 0 3 1 0 0 2 2 2 ,
25.28/6.68	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.68	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.68	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.68	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.68	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.68	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.68	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.68	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.68	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.68	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.68	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.68	  3 1 3 1 4 4 0 -> 3 2 1 4 0 2 0 0 4 2 ,
25.28/6.68	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.68	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.68	  3 3 5 1 5 1 1 -> 5 3 0 2 4 5 5 4 3 1 ,
25.28/6.68	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.68	  3 3 5 3 0 1 1 -> 5 1 4 5 5 3 5 4 5 1 ,
25.28/6.68	  3 4 2 0 4 1 1 -> 5 3 3 0 2 0 2 5 5 1 ,
25.28/6.68	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.68	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.68	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.68	  4 3 3 5 1 4 1 -> 5 3 5 0 0 5 3 2 0 4 ,
25.28/6.68	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.68	  4 4 3 3 3 4 1 -> 4 0 1 0 2 1 0 2 0 2 ,
25.28/6.68	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.68	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.68	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.68	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.68	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.68	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.68	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.68	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.68	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.68	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.68	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.68	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.68	
25.28/6.68	
25.28/6.68	The system was filtered by the following matrix interpretation
25.28/6.68	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.68	
25.28/6.68	0 is interpreted by
25.28/6.68	 /                     \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                     /
25.28/6.68	1 is interpreted by
25.28/6.68	 /                     \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                     /
25.28/6.68	2 is interpreted by
25.28/6.68	 /                     \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.68	 \                     /
25.28/6.68	3 is interpreted by
25.28/6.68	 /                     \
25.28/6.68	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                     /
25.28/6.68	5 is interpreted by
25.28/6.68	 /                     \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                     /
25.28/6.68	4 is interpreted by
25.28/6.68	 /                     \
25.28/6.68	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.68	 \                     /
25.28/6.68	
25.28/6.68	Remains to prove termination of the 57-rule system
25.28/6.68	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.68	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.68	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.68	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.68	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.68	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.68	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.68	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.68	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.68	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.68	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.68	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.68	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.68	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.68	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.68	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.68	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.68	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.68	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.68	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 3 5 1 1 1 -> 1 0 0 3 1 0 0 2 2 2 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 1 3 1 4 4 0 -> 3 2 1 4 0 2 0 0 4 2 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 3 5 3 0 1 1 -> 5 1 4 5 5 3 5 4 5 1 ,
25.28/6.69	  3 4 2 0 4 1 1 -> 5 3 3 0 2 0 2 5 5 1 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 3 3 5 1 4 1 -> 5 3 5 0 0 5 3 2 0 4 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 4 3 3 3 4 1 -> 4 0 1 0 2 1 0 2 0 2 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 56-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 3 5 1 1 1 -> 1 0 0 3 1 0 0 2 2 2 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 1 3 1 4 4 0 -> 3 2 1 4 0 2 0 0 4 2 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 0 4 1 1 -> 5 3 3 0 2 0 2 5 5 1 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 3 3 5 1 4 1 -> 5 3 5 0 0 5 3 2 0 4 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 4 3 3 3 4 1 -> 4 0 1 0 2 1 0 2 0 2 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 55-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 3 5 1 1 1 -> 1 0 0 3 1 0 0 2 2 2 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 1 3 1 4 4 0 -> 3 2 1 4 0 2 0 0 4 2 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 3 3 5 1 4 1 -> 5 3 5 0 0 5 3 2 0 4 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 4 3 3 3 4 1 -> 4 0 1 0 2 1 0 2 0 2 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 54-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 3 5 1 1 1 -> 1 0 0 3 1 0 0 2 2 2 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 1 3 1 4 4 0 -> 3 2 1 4 0 2 0 0 4 2 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 4 3 3 3 4 1 -> 4 0 1 0 2 1 0 2 0 2 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 53-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 3 5 1 1 1 -> 1 0 0 3 1 0 0 2 2 2 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 1 3 1 4 4 0 -> 3 2 1 4 0 2 0 0 4 2 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 52-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 3 5 1 1 1 -> 1 0 0 3 1 0 0 2 2 2 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 51-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 1 3 1 2 1 -> 1 2 5 3 0 2 2 2 5 1 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 14:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                           \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                           /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                           \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                           /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                           \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                           /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                           \
25.28/6.69	| 1 0 1 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                           /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                           \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                           /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                           \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                           /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 50-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 3 3 4 5 2 -> 5 5 1 1 2 4 0 0 2 1 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 49-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 1 3 3 4 0 1 -> 3 2 1 0 5 1 2 3 2 2 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 48-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  3 2 1 1 3 ->= 3 0 2 0 2 0 1 0 4 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 6:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 |
25.28/6.69	 \           /
25.28/6.69	1 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	2 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	3 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 1 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	5 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 |
25.28/6.69	 \           /
25.28/6.69	4 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 47-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 1 1 2 1 1 1 -> 0 5 0 0 5 1 2 0 2 1 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 46-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 1 1 1 4 5 1 -> 5 3 0 4 3 0 2 4 0 2 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 45-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  3 3 0 3 3 3 -> 5 1 4 5 4 0 3 0 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 7:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /             \
25.28/6.69	| 1 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 |
25.28/6.69	 \             /
25.28/6.69	1 is interpreted by
25.28/6.69	 /             \
25.28/6.69	| 1 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 1 |
25.28/6.69	 \             /
25.28/6.69	2 is interpreted by
25.28/6.69	 /             \
25.28/6.69	| 1 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 |
25.28/6.69	 \             /
25.28/6.69	3 is interpreted by
25.28/6.69	 /             \
25.28/6.69	| 1 0 1 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 |
25.28/6.69	 \             /
25.28/6.69	5 is interpreted by
25.28/6.69	 /             \
25.28/6.69	| 1 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 |
25.28/6.69	 \             /
25.28/6.69	4 is interpreted by
25.28/6.69	 /             \
25.28/6.69	| 1 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 |
25.28/6.69	 \             /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 44-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  3 1 3 5 2 -> 5 3 1 5 3 0 0 2 2 2 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 1 3 1 1 1 4 -> 5 3 5 3 0 0 4 0 1 4 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 6:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 |
25.28/6.69	 \           /
25.28/6.69	1 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	2 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	3 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 1 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	5 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	4 is interpreted by
25.28/6.69	 /           \
25.28/6.69	| 1 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 |
25.28/6.69	 \           /
25.28/6.69	
25.28/6.69	Remains to prove termination of the 42-rule system
25.28/6.69	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.69	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.69	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.69	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.69	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.69	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.69	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.69	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.69	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.69	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.69	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.69	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.69	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.69	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.69	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.69	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.69	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.69	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.69	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.69	  1 3 5 1 1 5 1 -> 1 0 0 4 4 0 0 4 0 0 ,
25.28/6.69	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.69	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.69	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.69	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.69	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.69	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.69	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.69	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.69	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.69	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.69	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.69	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.69	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.69	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.69	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.69	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.69	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.69	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.69	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.69	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.69	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.69	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.69	
25.28/6.69	
25.28/6.69	The system was filtered by the following matrix interpretation
25.28/6.69	of type E_J with J = {1,...,2} and dimension 11:
25.28/6.69	
25.28/6.69	0 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	1 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	2 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.69	 \                     /
25.28/6.69	3 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	5 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.69	4 is interpreted by
25.28/6.69	 /                     \
25.28/6.69	| 1 0 1 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	| 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.69	 \                     /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 41-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.70	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.70	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.70	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  2 5 2 0 3 5 1 -> 2 5 2 0 4 0 2 0 0 2 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.70	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.70	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.70	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 14:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	1 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 1 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	2 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	3 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	5 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	4 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 40-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.70	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.70	  2 3 1 1 1 1 0 -> 2 1 5 0 3 5 5 4 0 0 ,
25.28/6.70	  2 3 1 3 3 1 1 -> 2 2 2 2 2 0 5 5 5 1 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.70	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.70	  2 3 1 1 ->= 1 4 5 5 3 0 0 2 0 0 ,
25.28/6.70	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 5:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /         \
25.28/6.70	| 1 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	 \         /
25.28/6.70	1 is interpreted by
25.28/6.70	 /         \
25.28/6.70	| 1 0 1 0 0 |
25.28/6.70	| 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 |
25.28/6.70	 \         /
25.28/6.70	2 is interpreted by
25.28/6.70	 /         \
25.28/6.70	| 1 0 1 0 0 |
25.28/6.70	| 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 1 0 0 |
25.28/6.70	 \         /
25.28/6.70	3 is interpreted by
25.28/6.70	 /         \
25.28/6.70	| 1 0 1 0 0 |
25.28/6.70	| 0 1 0 0 0 |
25.28/6.70	| 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	 \         /
25.28/6.70	5 is interpreted by
25.28/6.70	 /         \
25.28/6.70	| 1 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	 \         /
25.28/6.70	4 is interpreted by
25.28/6.70	 /         \
25.28/6.70	| 1 0 1 0 0 |
25.28/6.70	| 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 |
25.28/6.70	 \         /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 37-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.70	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.70	  5 2 1 3 5 2 2 -> 4 2 1 2 3 0 0 0 0 0 ,
25.28/6.70	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 1 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 36-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 1 3 3 1 -> 5 3 3 2 3 0 2 2 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 1 3 1 2 3 3 -> 3 0 2 1 5 3 2 5 3 0 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 3 4 1 1 2 -> 3 1 5 2 4 3 0 2 2 0 ,
25.28/6.70	  1 3 4 4 1 3 5 -> 1 3 3 3 0 2 0 2 1 5 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  5 1 1 1 1 5 0 -> 3 4 5 5 4 2 0 0 5 0 ,
25.28/6.70	  0 1 1 1 3 3 3 ->= 3 5 4 5 3 2 1 5 2 3 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 6:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	1 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 1 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	2 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	3 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 1 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	5 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	4 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 1 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 30-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 1 3 3 3 3 1 -> 2 3 0 2 0 4 0 0 3 1 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 1 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 29-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 4 0 4 3 3 3 -> 4 5 3 0 2 2 3 2 1 3 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 28-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  4 5 2 5 4 1 3 -> 5 0 3 2 1 4 3 0 2 4 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 27-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  4 2 3 3 3 -> 5 0 3 0 2 0 0 2 0 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 6:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	1 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	2 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	3 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	5 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	4 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 1 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 26-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 5 1 5 2 4 3 -> 4 3 3 0 2 0 0 0 0 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 1 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 1 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 25-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 2 1 3 3 3 4 -> 5 4 2 0 0 0 5 1 4 5 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 14:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	1 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	2 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	3 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	5 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	4 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 24-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  5 0 1 3 2 5 4 -> 4 2 3 0 0 0 0 2 5 1 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 1 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 23-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  1 3 3 4 4 -> 0 3 5 5 3 0 2 0 0 1 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 6:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	1 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 1 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	2 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	3 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	5 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	4 is interpreted by
25.28/6.70	 /           \
25.28/6.70	| 1 0 1 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 |
25.28/6.70	 \           /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 22-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 3 3 3 4 4 -> 1 0 0 4 5 5 5 1 1 4 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 21-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 5 0 2 3 4 -> 3 3 4 5 5 5 0 3 5 4 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 20-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 2 4 3 4 3 3 -> 3 0 2 1 0 1 1 5 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 19-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 3 0 5 4 1 3 -> 1 3 2 4 0 0 2 2 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 18-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 3 3 3 1 3 -> 1 3 0 2 4 1 4 2 2 3 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 17-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  1 3 5 1 3 4 3 -> 2 5 0 0 5 5 5 1 1 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	1 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	2 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	3 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	5 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	4 is interpreted by
25.28/6.70	 /               \
25.28/6.70	| 1 0 1 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 0 0 0 0 0 0 0 |
25.28/6.70	 \               /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 16-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  1 3 3 0 3 2 4 -> 1 5 2 3 2 4 0 0 0 2 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 14:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	1 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	2 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 1 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	3 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	5 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	4 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	
25.28/6.70	Remains to prove termination of the 15-rule system
25.28/6.70	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.70	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.70	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.70	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.70	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.70	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.70	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.70	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.70	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.70	  3 2 5 4 4 2 4 -> 5 3 1 0 2 2 2 0 0 4 ,
25.28/6.70	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.70	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.70	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.70	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.70	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.70	
25.28/6.70	
25.28/6.70	The system was filtered by the following matrix interpretation
25.28/6.70	of type E_J with J = {1,...,2} and dimension 14:
25.28/6.70	
25.28/6.70	0 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	1 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	2 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 1 1 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	3 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	 \                           /
25.28/6.70	5 is interpreted by
25.28/6.70	 /                           \
25.28/6.70	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.70	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	 \                           /
25.28/6.71	4 is interpreted by
25.28/6.71	 /                           \
25.28/6.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	 \                           /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 14-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.71	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.71	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.71	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.71	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 3 5 2 5 0 4 -> 5 5 1 0 1 5 5 3 0 2 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 14:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /                           \
25.28/6.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	 \                           /
25.28/6.71	1 is interpreted by
25.28/6.71	 /                           \
25.28/6.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	 \                           /
25.28/6.71	2 is interpreted by
25.28/6.71	 /                           \
25.28/6.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	 \                           /
25.28/6.71	3 is interpreted by
25.28/6.71	 /                           \
25.28/6.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	 \                           /
25.28/6.71	5 is interpreted by
25.28/6.71	 /                           \
25.28/6.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	 \                           /
25.28/6.71	4 is interpreted by
25.28/6.71	 /                           \
25.28/6.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
25.28/6.71	 \                           /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 13-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.71	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.71	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.71	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.71	  2 3 3 5 1 3 3 -> 2 4 4 5 5 3 4 3 2 3 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	1 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	2 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	3 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	5 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	4 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 12-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  0 1 2 1 1 4 -> 0 0 4 2 3 0 2 2 0 4 ,
25.28/6.71	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.71	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.71	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 7:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	1 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	2 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	3 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	5 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	4 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 11-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  2 4 4 3 4 2 -> 2 4 5 0 3 0 0 2 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.71	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.71	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 7:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	1 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	2 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	3 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	5 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	4 is interpreted by
25.28/6.71	 /             \
25.28/6.71	| 1 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 |
25.28/6.71	 \             /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 10-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  0 1 3 3 3 5 3 -> 0 0 0 4 0 2 4 2 3 0 ,
25.28/6.71	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.71	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	1 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	2 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	3 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	5 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	4 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 9-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  0 1 3 3 4 3 4 -> 0 3 0 2 0 4 2 0 2 4 ,
25.28/6.71	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	1 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	2 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	3 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	5 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	4 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 8-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  0 2 3 3 5 1 3 -> 2 3 2 0 2 0 0 0 5 3 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	1 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	2 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	3 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	5 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	4 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 7-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  0 3 5 1 1 2 4 ->= 0 5 4 0 0 5 2 0 0 4 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	1 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	2 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	3 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	5 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	4 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 6-rule system
25.28/6.71	{ 0 1 1 2 -> 0 2 3 0 2 0 0 0 2 0 ,
25.28/6.71	  0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 5:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /         \
25.28/6.71	| 1 0 1 0 0 |
25.28/6.71	| 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 |
25.28/6.71	 \         /
25.28/6.71	1 is interpreted by
25.28/6.71	 /         \
25.28/6.71	| 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 |
25.28/6.71	| 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	 \         /
25.28/6.71	2 is interpreted by
25.28/6.71	 /         \
25.28/6.71	| 1 0 1 0 0 |
25.28/6.71	| 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 |
25.28/6.71	 \         /
25.28/6.71	3 is interpreted by
25.28/6.71	 /         \
25.28/6.71	| 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	 \         /
25.28/6.71	5 is interpreted by
25.28/6.71	 /         \
25.28/6.71	| 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	 \         /
25.28/6.71	4 is interpreted by
25.28/6.71	 /         \
25.28/6.71	| 1 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 |
25.28/6.71	 \         /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 5-rule system
25.28/6.71	{ 0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  2 4 3 3 4 2 5 -> 0 4 2 4 0 2 5 1 0 5 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 2:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /   \
25.28/6.71	| 1 0 |
25.28/6.71	| 0 1 |
25.28/6.71	 \   /
25.28/6.71	1 is interpreted by
25.28/6.71	 /   \
25.28/6.71	| 1 0 |
25.28/6.71	| 0 1 |
25.28/6.71	 \   /
25.28/6.71	2 is interpreted by
25.28/6.71	 /   \
25.28/6.71	| 1 0 |
25.28/6.71	| 0 1 |
25.28/6.71	 \   /
25.28/6.71	3 is interpreted by
25.28/6.71	 /   \
25.28/6.71	| 1 1 |
25.28/6.71	| 0 1 |
25.28/6.71	 \   /
25.28/6.71	5 is interpreted by
25.28/6.71	 /   \
25.28/6.71	| 1 0 |
25.28/6.71	| 0 1 |
25.28/6.71	 \   /
25.28/6.71	4 is interpreted by
25.28/6.71	 /   \
25.28/6.71	| 1 0 |
25.28/6.71	| 0 1 |
25.28/6.71	 \   /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 4-rule system
25.28/6.71	{ 0 1 3 1 3 1 0 -> 2 3 0 2 0 1 4 3 1 0 ,
25.28/6.71	  3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	1 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	2 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	3 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	5 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	4 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 3-rule system
25.28/6.71	{ 3 4 2 5 0 2 3 -> 5 5 1 0 0 5 3 5 5 3 ,
25.28/6.71	  4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	1 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	2 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	3 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	5 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	4 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 2-rule system
25.28/6.71	{ 4 5 2 0 3 2 5 -> 5 0 3 4 5 4 0 0 0 5 ,
25.28/6.71	  1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system was filtered by the following matrix interpretation
25.28/6.71	of type E_J with J = {1,...,2} and dimension 8:
25.28/6.71	
25.28/6.71	0 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 1 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	1 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	2 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 1 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 1 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	3 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 1 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	5 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 1 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	4 is interpreted by
25.28/6.71	 /               \
25.28/6.71	| 1 0 1 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 0 0 0 0 0 0 0 |
25.28/6.71	| 0 1 0 0 0 0 0 0 |
25.28/6.71	 \               /
25.28/6.71	
25.28/6.71	Remains to prove termination of the 1-rule system
25.28/6.71	{ 1 1 4 5 2 1 5 ->= 5 1 2 1 4 0 2 0 1 5 }
25.28/6.71	
25.28/6.71	
25.28/6.71	The system is trivially terminating.
25.34/6.74	EOF