35.48/9.36	YES
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 9:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	1 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	2 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	3 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	4 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	 \                 /
36.44/9.57	5 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 49-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  5 1 1 -> 2 3 1 4 1 5 ,
36.44/9.57	  5 1 1 -> 5 3 2 3 1 1 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  0 3 0 1 -> 0 0 2 2 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 1 2 3 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 4 1 2 3 1 ,
36.44/9.57	  1 2 5 1 -> 5 4 2 3 1 1 ,
36.44/9.57	  4 0 1 1 -> 0 2 4 1 1 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  5 1 1 1 -> 2 2 1 1 5 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  0 2 5 3 1 -> 2 0 5 4 1 3 ,
36.44/9.57	  0 2 5 5 1 -> 0 2 1 5 4 5 ,
36.44/9.57	  0 3 0 5 1 -> 2 1 5 3 0 0 ,
36.44/9.57	  0 4 3 5 1 -> 2 4 3 1 0 5 ,
36.44/9.57	  0 5 1 1 5 -> 0 1 2 1 5 5 ,
36.44/9.57	  0 5 1 3 0 -> 2 1 3 5 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 2 5 3 0 -> 1 4 2 3 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 0 3 1 5 -> 4 4 3 5 0 1 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 2 5 3 1 -> 2 3 1 5 4 2 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 ,
36.44/9.57	  4 5 1 3 1 -> 4 1 3 5 4 1 ,
36.44/9.57	  5 1 4 3 1 -> 5 3 2 4 1 1 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 8:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /               \
36.44/9.57	| 1 0 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	 \               /
36.44/9.57	1 is interpreted by
36.44/9.57	 /               \
36.44/9.57	| 1 0 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	 \               /
36.44/9.57	2 is interpreted by
36.44/9.57	 /               \
36.44/9.57	| 1 0 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	 \               /
36.44/9.57	3 is interpreted by
36.44/9.57	 /               \
36.44/9.57	| 1 0 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	 \               /
36.44/9.57	4 is interpreted by
36.44/9.57	 /               \
36.44/9.57	| 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 1 0 0 |
36.44/9.57	 \               /
36.44/9.57	5 is interpreted by
36.44/9.57	 /               \
36.44/9.57	| 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 |
36.44/9.57	 \               /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 48-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  5 1 1 -> 2 3 1 4 1 5 ,
36.44/9.57	  5 1 1 -> 5 3 2 3 1 1 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  0 3 0 1 -> 0 0 2 2 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 1 2 3 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 4 1 2 3 1 ,
36.44/9.57	  4 0 1 1 -> 0 2 4 1 1 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  5 1 1 1 -> 2 2 1 1 5 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  0 2 5 3 1 -> 2 0 5 4 1 3 ,
36.44/9.57	  0 2 5 5 1 -> 0 2 1 5 4 5 ,
36.44/9.57	  0 3 0 5 1 -> 2 1 5 3 0 0 ,
36.44/9.57	  0 4 3 5 1 -> 2 4 3 1 0 5 ,
36.44/9.57	  0 5 1 1 5 -> 0 1 2 1 5 5 ,
36.44/9.57	  0 5 1 3 0 -> 2 1 3 5 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 2 5 3 0 -> 1 4 2 3 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 0 3 1 5 -> 4 4 3 5 0 1 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 2 5 3 1 -> 2 3 1 5 4 2 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 ,
36.44/9.57	  4 5 1 3 1 -> 4 1 3 5 4 1 ,
36.44/9.57	  5 1 4 3 1 -> 5 3 2 4 1 1 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 6:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	1 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	2 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	3 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	4 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 1 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	5 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 47-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  5 1 1 -> 2 3 1 4 1 5 ,
36.44/9.57	  5 1 1 -> 5 3 2 3 1 1 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  0 3 0 1 -> 0 0 2 2 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 1 2 3 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 4 1 2 3 1 ,
36.44/9.57	  4 0 1 1 -> 0 2 4 1 1 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  5 1 1 1 -> 2 2 1 1 5 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  0 2 5 3 1 -> 2 0 5 4 1 3 ,
36.44/9.57	  0 2 5 5 1 -> 0 2 1 5 4 5 ,
36.44/9.57	  0 3 0 5 1 -> 2 1 5 3 0 0 ,
36.44/9.57	  0 4 3 5 1 -> 2 4 3 1 0 5 ,
36.44/9.57	  0 5 1 1 5 -> 0 1 2 1 5 5 ,
36.44/9.57	  0 5 1 3 0 -> 2 1 3 5 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 2 5 3 0 -> 1 4 2 3 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 0 3 1 5 -> 4 4 3 5 0 1 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 2 5 3 1 -> 2 3 1 5 4 2 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 ,
36.44/9.57	  4 5 1 3 1 -> 4 1 3 5 4 1 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 6:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	1 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	2 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	3 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	4 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	5 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 45-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  5 1 1 -> 2 3 1 4 1 5 ,
36.44/9.57	  5 1 1 -> 5 3 2 3 1 1 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  0 3 0 1 -> 0 0 2 2 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 1 2 3 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 4 1 2 3 1 ,
36.44/9.57	  4 0 1 1 -> 0 2 4 1 1 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  5 1 1 1 -> 2 2 1 1 5 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  0 2 5 5 1 -> 0 2 1 5 4 5 ,
36.44/9.57	  0 3 0 5 1 -> 2 1 5 3 0 0 ,
36.44/9.57	  0 4 3 5 1 -> 2 4 3 1 0 5 ,
36.44/9.57	  0 5 1 1 5 -> 0 1 2 1 5 5 ,
36.44/9.57	  0 5 1 3 0 -> 2 1 3 5 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 0 3 1 5 -> 4 4 3 5 0 1 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 2 5 3 1 -> 2 3 1 5 4 2 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 ,
36.44/9.57	  4 5 1 3 1 -> 4 1 3 5 4 1 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 9:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	1 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	2 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	3 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	4 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	 \                 /
36.44/9.57	5 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 44-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  5 1 1 -> 2 3 1 4 1 5 ,
36.44/9.57	  5 1 1 -> 5 3 2 3 1 1 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  0 3 0 1 -> 0 0 2 2 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 1 2 3 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 4 1 2 3 1 ,
36.44/9.57	  4 0 1 1 -> 0 2 4 1 1 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  5 1 1 1 -> 2 2 1 1 5 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  0 3 0 5 1 -> 2 1 5 3 0 0 ,
36.44/9.57	  0 4 3 5 1 -> 2 4 3 1 0 5 ,
36.44/9.57	  0 5 1 1 5 -> 0 1 2 1 5 5 ,
36.44/9.57	  0 5 1 3 0 -> 2 1 3 5 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 0 3 1 5 -> 4 4 3 5 0 1 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 2 5 3 1 -> 2 3 1 5 4 2 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 ,
36.44/9.57	  4 5 1 3 1 -> 4 1 3 5 4 1 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 9:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	1 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	2 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	3 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	4 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	 \                 /
36.44/9.57	5 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 43-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  5 1 1 -> 2 3 1 4 1 5 ,
36.44/9.57	  5 1 1 -> 5 3 2 3 1 1 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  0 3 0 1 -> 0 0 2 2 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 1 2 3 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 4 1 2 3 1 ,
36.44/9.57	  4 0 1 1 -> 0 2 4 1 1 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  5 1 1 1 -> 2 2 1 1 5 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  0 4 3 5 1 -> 2 4 3 1 0 5 ,
36.44/9.57	  0 5 1 1 5 -> 0 1 2 1 5 5 ,
36.44/9.57	  0 5 1 3 0 -> 2 1 3 5 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 0 3 1 5 -> 4 4 3 5 0 1 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 2 5 3 1 -> 2 3 1 5 4 2 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 ,
36.44/9.57	  4 5 1 3 1 -> 4 1 3 5 4 1 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 7:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /             \
36.44/9.57	| 1 0 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	 \             /
36.44/9.57	1 is interpreted by
36.44/9.57	 /             \
36.44/9.57	| 1 0 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	 \             /
36.44/9.57	2 is interpreted by
36.44/9.57	 /             \
36.44/9.57	| 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	 \             /
36.44/9.57	3 is interpreted by
36.44/9.57	 /             \
36.44/9.57	| 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	 \             /
36.44/9.57	4 is interpreted by
36.44/9.57	 /             \
36.44/9.57	| 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 |
36.44/9.57	 \             /
36.44/9.57	5 is interpreted by
36.44/9.57	 /             \
36.44/9.57	| 1 0 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 0 |
36.44/9.57	 \             /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 37-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  0 3 0 1 -> 0 0 2 2 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 1 2 3 1 3 ,
36.44/9.57	  1 0 3 1 -> 0 4 1 2 3 1 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  0 4 3 5 1 -> 2 4 3 1 0 5 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 0 3 1 5 -> 4 4 3 5 0 1 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 2 5 3 1 -> 2 3 1 5 4 2 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 ,
36.44/9.57	  4 5 1 3 1 -> 4 1 3 5 4 1 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 5:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	1 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	2 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	3 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	4 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 |
36.44/9.57	| 0 0 1 0 0 |
36.44/9.57	 \         /
36.44/9.57	5 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 31-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  0 4 3 5 1 -> 2 4 3 1 0 5 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 9:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	1 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	2 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	3 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	4 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 1 0 0 |
36.44/9.57	 \                 /
36.44/9.57	5 is interpreted by
36.44/9.57	 /                 \
36.44/9.57	| 1 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 1 0 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 0 0 0 |
36.44/9.57	 \                 /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 30-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  1 0 1 -> 0 2 1 2 3 1 ,
36.44/9.57	  1 0 1 -> 1 0 5 2 3 1 ,
36.44/9.57	  1 0 1 -> 2 1 0 2 3 1 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  5 1 0 -> 5 2 3 1 0 ,
36.44/9.57	  5 1 0 -> 5 2 3 3 1 0 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 0 1 -> 1 4 0 2 3 ,
36.44/9.57	  4 3 0 1 -> 3 0 2 2 4 1 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 3 0 0 1 -> 2 4 3 1 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 4:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 1 1 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	1 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 1 0 1 |
36.44/9.57	 \       /
36.44/9.57	2 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	3 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 1 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	4 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 1 0 |
36.44/9.57	 \       /
36.44/9.57	5 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 1 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 22-rule system
36.44/9.57	{ 0 0 1 -> 2 3 1 4 0 0 ,
36.44/9.57	  1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  0 0 1 2 5 -> 2 3 1 5 0 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 4:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 1 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	1 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 1 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	 \       /
36.44/9.57	2 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	3 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	4 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	5 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 1 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 20-rule system
36.44/9.57	{ 1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 0 1 -> 0 2 2 1 4 ,
36.44/9.57	  4 0 1 -> 0 2 3 4 1 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  4 0 1 5 -> 5 0 2 3 1 4 ,
36.44/9.57	  4 0 1 5 -> 5 4 1 3 4 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 4:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 1 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	1 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	 \       /
36.44/9.57	2 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	3 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	4 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	5 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 1 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 16-rule system
36.44/9.57	{ 1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  0 0 3 0 -> 4 0 0 2 3 0 ,
36.44/9.57	  4 0 3 0 -> 0 2 3 0 4 5 ,
36.44/9.57	  4 0 3 5 -> 0 2 3 4 1 5 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 2 5 3 0 -> 4 0 2 5 2 3 ,
36.44/9.57	  4 2 5 3 0 -> 5 2 4 3 1 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 5:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	1 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	2 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	3 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	4 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	5 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 1 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 11-rule system
36.44/9.57	{ 1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  1 0 4 1 5 -> 4 1 2 1 5 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 6:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	1 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	2 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	3 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	4 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	5 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 1 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 10-rule system
36.44/9.57	{ 1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  0 1 3 0 0 -> 2 3 1 0 0 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 6:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	1 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	2 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	3 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	4 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	5 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 9-rule system
36.44/9.57	{ 1 0 0 -> 0 2 3 1 0 ,
36.44/9.57	  4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 4:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 2 0 0 |
36.44/9.57	| 0 0 0 1 |
36.44/9.57	| 0 1 0 1 |
36.44/9.57	 \       /
36.44/9.57	1 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 1 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	 \       /
36.44/9.57	2 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	3 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	4 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	 \       /
36.44/9.57	5 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 8-rule system
36.44/9.57	{ 4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  1 3 0 4 0 -> 0 2 3 1 4 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 6:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	1 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	2 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	3 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	4 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	5 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 7-rule system
36.44/9.57	{ 4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 2 5 0 -> 4 5 2 3 0 ,
36.44/9.57	  4 2 5 0 -> 4 0 2 3 5 4 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 2 5 0 0 -> 0 5 2 0 4 4 ,
36.44/9.57	  4 2 5 0 0 -> 5 2 3 4 0 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 5:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	1 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	2 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	3 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	4 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	5 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 3-rule system
36.44/9.57	{ 4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 ,
36.44/9.57	  4 3 2 5 0 -> 0 4 2 3 4 5 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 6:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	1 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	2 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	3 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 1 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	4 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 1 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	5 is interpreted by
36.44/9.57	 /           \
36.44/9.57	| 1 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 1 |
36.44/9.57	| 0 0 0 0 0 0 |
36.44/9.57	 \           /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 2-rule system
36.44/9.57	{ 4 0 0 -> 0 2 3 4 0 ,
36.44/9.57	  4 3 0 0 -> 0 2 3 4 3 0 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 4:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 1 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	 \       /
36.44/9.57	1 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	2 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	3 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	4 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 1 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	 \       /
36.44/9.57	5 is interpreted by
36.44/9.57	 /       \
36.44/9.57	| 1 0 0 0 |
36.44/9.57	| 0 1 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	| 0 0 0 0 |
36.44/9.57	 \       /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 1-rule system
36.44/9.57	{ 4 3 0 0 -> 0 2 3 4 3 0 }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system was filtered by the following matrix interpretation
36.44/9.57	of type E_J with J = {1,...,2} and dimension 5:
36.44/9.57	
36.44/9.57	0 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 1 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 1 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	1 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	2 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	3 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 1 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	4 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 1 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	5 is interpreted by
36.44/9.57	 /         \
36.44/9.57	| 1 0 0 0 0 |
36.44/9.57	| 0 1 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	| 0 0 0 0 0 |
36.44/9.57	 \         /
36.44/9.57	
36.44/9.57	Remains to prove termination of the 0-rule system
36.44/9.57	{ }
36.44/9.57	
36.44/9.57	
36.44/9.57	The system is trivially terminating.
40.02/10.81	EOF