48.25/12.52	YES
48.84/12.70	
48.84/12.70	
48.84/12.70	The system was filtered by the following matrix interpretation
48.84/12.70	of type E_J with J = {1,...,2} and dimension 10:
48.84/12.70	
48.84/12.70	0 is interpreted by
48.84/12.70	 /                   \
48.84/12.70	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 1 0 0 0 1 0 0 0 |
48.84/12.70	 \                   /
48.84/12.70	1 is interpreted by
48.84/12.70	 /                   \
48.84/12.70	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 1 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 1 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	 \                   /
48.84/12.70	2 is interpreted by
48.84/12.70	 /                   \
48.84/12.70	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	 \                   /
48.84/12.70	5 is interpreted by
48.84/12.70	 /                   \
48.84/12.70	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 1 0 0 0 1 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	 \                   /
48.84/12.70	3 is interpreted by
48.84/12.70	 /                   \
48.84/12.70	| 1 0 1 0 0 0 1 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	 \                   /
48.84/12.70	4 is interpreted by
48.84/12.70	 /                   \
48.84/12.70	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 1 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.70	 \                   /
48.84/12.70	
48.84/12.70	Remains to prove termination of the 48-rule system
48.84/12.70	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.70	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.70	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.70	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.70	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.70	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.70	  1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 ,
48.84/12.70	  1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 ,
48.84/12.70	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.70	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.70	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.70	  3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 ,
48.84/12.70	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.70	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.70	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.70	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.70	  1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 ,
48.84/12.70	  1 4 1 1 1 0 -> 1 1 2 3 2 5 4 4 2 1 ,
48.84/12.70	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.70	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.70	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.70	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.70	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.70	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.70	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.70	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.70	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.70	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.70	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.70	  1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 ,
48.84/12.70	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.70	  1 3 1 0 0 3 3 -> 1 1 1 1 2 3 0 4 5 0 ,
48.84/12.70	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.70	  1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 ,
48.84/12.70	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.70	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.70	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.70	  3 1 0 5 5 4 3 -> 3 2 5 0 4 0 4 2 2 1 ,
48.84/12.70	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.70	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.70	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.70	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.70	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.70	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.70	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.70	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.70	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.70	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.70	
48.84/12.70	
48.84/12.70	The system was filtered by the following matrix interpretation
48.84/12.70	of type E_J with J = {1,...,2} and dimension 7:
48.84/12.70	
48.84/12.70	0 is interpreted by
48.84/12.70	 /             \
48.84/12.70	| 1 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 1 0 0 0 0 |
48.84/12.70	 \             /
48.84/12.70	1 is interpreted by
48.84/12.70	 /             \
48.84/12.70	| 1 0 1 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 0 |
48.84/12.70	| 0 0 0 0 0 1 1 |
48.84/12.70	| 0 0 0 0 0 0 1 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	 \             /
48.84/12.70	2 is interpreted by
48.84/12.70	 /             \
48.84/12.70	| 1 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 1 |
48.84/12.70	 \             /
48.84/12.70	5 is interpreted by
48.84/12.70	 /             \
48.84/12.70	| 1 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	 \             /
48.84/12.70	3 is interpreted by
48.84/12.70	 /             \
48.84/12.70	| 1 0 1 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	 \             /
48.84/12.70	4 is interpreted by
48.84/12.70	 /             \
48.84/12.70	| 1 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 0 |
48.84/12.70	| 0 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 0 |
48.84/12.70	 \             /
48.84/12.70	
48.84/12.70	Remains to prove termination of the 46-rule system
48.84/12.70	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.70	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.70	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.70	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.70	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.70	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.70	  1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 ,
48.84/12.70	  1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 ,
48.84/12.70	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.70	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.70	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.70	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.70	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.70	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.70	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.70	  1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 ,
48.84/12.70	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.70	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.70	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.70	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.70	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.70	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.70	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.70	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.70	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.70	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.70	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.70	  1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 ,
48.84/12.70	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.70	  1 3 1 0 0 3 3 -> 1 1 1 1 2 3 0 4 5 0 ,
48.84/12.70	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.70	  1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 ,
48.84/12.70	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.70	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.70	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.70	  3 1 0 5 5 4 3 -> 3 2 5 0 4 0 4 2 2 1 ,
48.84/12.70	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.70	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.70	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.70	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.70	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.70	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.70	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.70	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.70	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.70	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.70	
48.84/12.70	
48.84/12.70	The system was filtered by the following matrix interpretation
48.84/12.70	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.70	
48.84/12.70	0 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 0 0 |
48.84/12.70	| 0 0 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	1 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 0 1 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	2 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	5 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 1 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	3 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 1 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	4 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 1 |
48.84/12.70	 \               /
48.84/12.70	
48.84/12.70	Remains to prove termination of the 45-rule system
48.84/12.70	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.70	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.70	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.70	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.70	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.70	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.70	  1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 ,
48.84/12.70	  1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 ,
48.84/12.70	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.70	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.70	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.70	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.70	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.70	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.70	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.70	  1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 ,
48.84/12.70	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.70	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.70	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.70	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.70	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.70	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.70	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.70	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.70	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.70	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.70	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.70	  1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 ,
48.84/12.70	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.70	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.70	  1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 ,
48.84/12.70	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.70	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.70	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.70	  3 1 0 5 5 4 3 -> 3 2 5 0 4 0 4 2 2 1 ,
48.84/12.70	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.70	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.70	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.70	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.70	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.70	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.70	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.70	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.70	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.70	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.70	
48.84/12.70	
48.84/12.70	The system was filtered by the following matrix interpretation
48.84/12.70	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.70	
48.84/12.70	0 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	1 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	2 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	5 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 0 0 |
48.84/12.70	| 0 0 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	3 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	4 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 1 |
48.84/12.70	| 0 0 0 0 0 0 0 1 |
48.84/12.70	 \               /
48.84/12.70	
48.84/12.70	Remains to prove termination of the 44-rule system
48.84/12.70	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.70	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.70	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.70	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.70	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.70	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.70	  1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 ,
48.84/12.70	  1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 ,
48.84/12.70	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.70	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.70	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.70	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.70	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.70	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.70	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.70	  1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 ,
48.84/12.70	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.70	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.70	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.70	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.70	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.70	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.70	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.70	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.70	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.70	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.70	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.70	  1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 ,
48.84/12.70	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.70	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.70	  1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 ,
48.84/12.70	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.70	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.70	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.70	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.70	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.70	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.70	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.70	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.70	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.70	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.70	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.70	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.70	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.70	
48.84/12.70	
48.84/12.70	The system was filtered by the following matrix interpretation
48.84/12.70	of type E_J with J = {1,...,2} and dimension 6:
48.84/12.70	
48.84/12.70	0 is interpreted by
48.84/12.70	 /           \
48.84/12.70	| 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 |
48.84/12.70	 \           /
48.84/12.70	1 is interpreted by
48.84/12.70	 /           \
48.84/12.70	| 1 0 1 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 |
48.84/12.70	| 0 0 0 0 1 0 |
48.84/12.70	 \           /
48.84/12.70	2 is interpreted by
48.84/12.70	 /           \
48.84/12.70	| 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 |
48.84/12.70	| 0 0 0 0 0 1 |
48.84/12.70	 \           /
48.84/12.70	5 is interpreted by
48.84/12.70	 /           \
48.84/12.70	| 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	 \           /
48.84/12.70	3 is interpreted by
48.84/12.70	 /           \
48.84/12.70	| 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	 \           /
48.84/12.70	4 is interpreted by
48.84/12.70	 /           \
48.84/12.70	| 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 |
48.84/12.70	 \           /
48.84/12.70	
48.84/12.70	Remains to prove termination of the 43-rule system
48.84/12.70	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.70	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.70	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.70	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.70	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.70	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.70	  1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 ,
48.84/12.70	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.70	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.70	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.70	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.70	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.70	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.70	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.70	  1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 ,
48.84/12.70	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.70	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.70	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.70	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.70	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.70	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.70	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.70	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.70	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.70	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.70	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.70	  1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 ,
48.84/12.70	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.70	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.70	  1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 ,
48.84/12.70	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.70	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.70	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.70	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.70	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.70	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.70	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.70	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.70	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.70	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.70	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.70	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.70	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.70	
48.84/12.70	
48.84/12.70	The system was filtered by the following matrix interpretation
48.84/12.70	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.70	
48.84/12.70	0 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	1 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 1 |
48.84/12.70	| 0 0 0 0 0 0 1 0 |
48.84/12.70	 \               /
48.84/12.70	2 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 1 1 |
48.84/12.70	 \               /
48.84/12.70	5 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	3 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	4 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 1 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	
48.84/12.70	Remains to prove termination of the 42-rule system
48.84/12.70	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.70	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.70	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.70	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.70	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.70	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.70	  1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 ,
48.84/12.70	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.70	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.70	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.70	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.70	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.70	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.70	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.70	  1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 ,
48.84/12.70	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.70	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.70	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.70	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.70	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.70	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.70	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.70	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.70	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.70	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.70	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.70	  1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 ,
48.84/12.70	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.70	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.70	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.70	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.70	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.70	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.70	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.70	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.70	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.70	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.70	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.70	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.70	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.70	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.70	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.70	
48.84/12.70	
48.84/12.70	The system was filtered by the following matrix interpretation
48.84/12.70	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.70	
48.84/12.70	0 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 1 0 0 |
48.84/12.70	| 0 0 0 0 0 0 1 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	1 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 1 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 1 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 1 |
48.84/12.70	| 0 0 0 0 0 0 1 0 |
48.84/12.70	 \               /
48.84/12.70	2 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 1 1 |
48.84/12.70	 \               /
48.84/12.70	5 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	3 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.70	| 0 1 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 1 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	| 0 0 0 0 0 0 0 0 |
48.84/12.70	 \               /
48.84/12.70	4 is interpreted by
48.84/12.70	 /               \
48.84/12.70	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 41-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.71	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 13:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	1 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	 \                         /
48.84/12.71	2 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	5 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	3 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	4 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 40-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.71	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 12:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /                       \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                       /
48.84/12.71	1 is interpreted by
48.84/12.71	 /                       \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	 \                       /
48.84/12.71	2 is interpreted by
48.84/12.71	 /                       \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                       /
48.84/12.71	5 is interpreted by
48.84/12.71	 /                       \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                       /
48.84/12.71	3 is interpreted by
48.84/12.71	 /                       \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                       /
48.84/12.71	4 is interpreted by
48.84/12.71	 /                       \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                       /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 39-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.71	  1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 14:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	1 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	2 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	5 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	3 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	4 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 38-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 14:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	1 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	2 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	5 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	3 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	4 is interpreted by
48.84/12.71	 /                           \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                           /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 37-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 13:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	1 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	2 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	5 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	3 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 1 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	4 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 36-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 13:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	1 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	2 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	5 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	3 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	4 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 35-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	1 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	2 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	5 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	3 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	4 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 34-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	1 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	2 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	5 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	3 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 1 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	4 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 33-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 7:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /             \
48.84/12.71	| 1 0 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	 \             /
48.84/12.71	1 is interpreted by
48.84/12.71	 /             \
48.84/12.71	| 1 0 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	 \             /
48.84/12.71	2 is interpreted by
48.84/12.71	 /             \
48.84/12.71	| 1 0 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 |
48.84/12.71	 \             /
48.84/12.71	5 is interpreted by
48.84/12.71	 /             \
48.84/12.71	| 1 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 1 0 0 0 0 |
48.84/12.71	 \             /
48.84/12.71	3 is interpreted by
48.84/12.71	 /             \
48.84/12.71	| 1 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	 \             /
48.84/12.71	4 is interpreted by
48.84/12.71	 /             \
48.84/12.71	| 1 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 |
48.84/12.71	 \             /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 32-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 6:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /           \
48.84/12.71	| 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	 \           /
48.84/12.71	1 is interpreted by
48.84/12.71	 /           \
48.84/12.71	| 1 0 1 1 0 0 |
48.84/12.71	| 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	 \           /
48.84/12.71	2 is interpreted by
48.84/12.71	 /           \
48.84/12.71	| 1 0 1 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	 \           /
48.84/12.71	5 is interpreted by
48.84/12.71	 /           \
48.84/12.71	| 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	 \           /
48.84/12.71	3 is interpreted by
48.84/12.71	 /           \
48.84/12.71	| 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 |
48.84/12.71	 \           /
48.84/12.71	4 is interpreted by
48.84/12.71	 /           \
48.84/12.71	| 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 |
48.84/12.71	| 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 |
48.84/12.71	 \           /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 31-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 10:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /                   \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                   /
48.84/12.71	1 is interpreted by
48.84/12.71	 /                   \
48.84/12.71	| 1 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	 \                   /
48.84/12.71	2 is interpreted by
48.84/12.71	 /                   \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                   /
48.84/12.71	5 is interpreted by
48.84/12.71	 /                   \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                   /
48.84/12.71	3 is interpreted by
48.84/12.71	 /                   \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                   /
48.84/12.71	4 is interpreted by
48.84/12.71	 /                   \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                   /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 30-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	1 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	2 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	5 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	3 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	4 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 29-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 5:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /         \
48.84/12.71	| 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 |
48.84/12.71	| 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	 \         /
48.84/12.71	1 is interpreted by
48.84/12.71	 /         \
48.84/12.71	| 1 0 1 1 0 |
48.84/12.71	| 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	 \         /
48.84/12.71	2 is interpreted by
48.84/12.71	 /         \
48.84/12.71	| 1 0 1 0 0 |
48.84/12.71	| 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	 \         /
48.84/12.71	5 is interpreted by
48.84/12.71	 /         \
48.84/12.71	| 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	 \         /
48.84/12.71	3 is interpreted by
48.84/12.71	 /         \
48.84/12.71	| 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 |
48.84/12.71	| 0 1 0 0 0 |
48.84/12.71	 \         /
48.84/12.71	4 is interpreted by
48.84/12.71	 /         \
48.84/12.71	| 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 |
48.84/12.71	| 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 |
48.84/12.71	 \         /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 24-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	1 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 1 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	2 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	5 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	3 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	4 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 23-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	1 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	2 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	5 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	3 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	4 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 22-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 13:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	1 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	2 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	5 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	3 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	4 is interpreted by
48.84/12.71	 /                         \
48.84/12.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
48.84/12.71	 \                         /
48.84/12.71	
48.84/12.71	Remains to prove termination of the 21-rule system
48.84/12.71	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.71	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.71	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.71	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.71	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.71	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.71	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.71	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.71	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.71	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.71	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.71	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.71	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.71	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.71	  2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 ,
48.84/12.71	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.71	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.71	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.71	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.71	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.71	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.71	
48.84/12.71	
48.84/12.71	The system was filtered by the following matrix interpretation
48.84/12.71	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.71	
48.84/12.71	0 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 1 0 0 0 0 |
48.84/12.71	| 0 0 0 0 1 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	1 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	2 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 1 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 1 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	5 is interpreted by
48.84/12.71	 /               \
48.84/12.71	| 1 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 0 0 0 0 0 0 0 |
48.84/12.71	| 0 1 0 0 0 0 0 0 |
48.84/12.71	 \               /
48.84/12.71	3 is interpreted by
48.84/12.71	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 1 0 0 |
48.84/12.72	| 0 0 0 0 0 0 1 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	4 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 20-rule system
48.84/12.72	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.72	  0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 ,
48.84/12.72	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.72	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.72	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.72	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.72	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.72	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.72	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.72	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.72	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.72	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.72	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.72	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.72	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.72	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.72	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.72	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.72	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.72	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 6:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 1 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 1 0 |
48.84/12.72	| 0 0 0 0 0 1 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	1 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 1 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 1 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	2 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	5 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	3 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	4 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 19-rule system
48.84/12.72	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.72	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.72	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.72	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.72	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.72	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.72	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.72	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.72	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.72	  3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 ,
48.84/12.72	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.72	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.72	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.72	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.72	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.72	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.72	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.72	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.72	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 7:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 1 0 |
48.84/12.72	| 0 0 0 0 0 0 1 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	1 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	2 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	5 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	3 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 1 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	4 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 1 0 0 0 |
48.84/12.72	| 0 0 0 0 1 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 1 |
48.84/12.72	 \             /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 18-rule system
48.84/12.72	{ 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 ,
48.84/12.72	  1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 ,
48.84/12.72	  2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 ,
48.84/12.72	  3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 ,
48.84/12.72	  4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.72	  1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 ,
48.84/12.72	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.72	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.72	  3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 ,
48.84/12.72	  4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 ,
48.84/12.72	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.72	  0 3 1 0 1 0 4 -> 0 5 3 5 0 5 3 0 4 5 ,
48.84/12.72	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.72	  3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 ,
48.84/12.72	  4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 ,
48.84/12.72	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.72	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.72	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 2:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	1 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 1 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	2 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	5 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	3 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	4 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 8-rule system
48.84/12.72	{ 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 ,
48.84/12.72	  2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.72	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.72	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.72	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.72	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.72	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.72	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 6:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 1 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	1 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	2 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 1 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	5 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	3 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	4 is interpreted by
48.84/12.72	 /           \
48.84/12.72	| 1 0 1 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 1 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 |
48.84/12.72	 \           /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 7-rule system
48.84/12.72	{ 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.72	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.72	  0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 ,
48.84/12.72	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.72	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.72	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.72	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	1 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 1 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 1 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	2 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	5 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	3 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 1 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	4 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 1 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 6-rule system
48.84/12.72	{ 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 ,
48.84/12.72	  3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.72	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.72	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.72	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.72	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 7:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	1 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 1 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	2 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 1 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	5 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 1 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	3 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 1 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	4 is interpreted by
48.84/12.72	 /             \
48.84/12.72	| 1 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 1 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 1 |
48.84/12.72	| 0 0 0 0 0 0 0 |
48.84/12.72	 \             /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 5-rule system
48.84/12.72	{ 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 ,
48.84/12.72	  2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 ,
48.84/12.72	  4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 ,
48.84/12.72	  5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.72	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 2:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	1 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	2 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	5 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	3 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 1 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	4 is interpreted by
48.84/12.72	 /   \
48.84/12.72	| 1 0 |
48.84/12.72	| 0 1 |
48.84/12.72	 \   /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 2-rule system
48.84/12.72	{ 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 ,
48.84/12.72	  5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	1 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 1 0 0 0 |
48.84/12.72	| 0 0 0 0 0 1 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	2 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 1 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	5 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 1 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	3 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	4 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 1-rule system
48.84/12.72	{ 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system was filtered by the following matrix interpretation
48.84/12.72	of type E_J with J = {1,...,2} and dimension 8:
48.84/12.72	
48.84/12.72	0 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 1 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	1 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	2 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 1 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	5 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 1 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	3 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 1 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 1 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	4 is interpreted by
48.84/12.72	 /               \
48.84/12.72	| 1 0 0 0 0 0 0 0 |
48.84/12.72	| 0 1 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 1 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	| 0 0 0 0 0 0 0 0 |
48.84/12.72	 \               /
48.84/12.72	
48.84/12.72	Remains to prove termination of the 0-rule system
48.84/12.72	{ }
48.84/12.72	
48.84/12.72	
48.84/12.72	The system is trivially terminating.
50.98/14.21	EOF