31.14/8.20	YES
32.31/8.44	
32.31/8.44	
32.31/8.44	The system was filtered by the following matrix interpretation
32.31/8.44	of type E_J with J = {1,...,2} and dimension 6:
32.31/8.44	
32.31/8.44	0 is interpreted by
32.31/8.44	 /           \
32.31/8.44	| 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 |
32.31/8.44	| 0 0 1 1 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	 \           /
32.31/8.44	1 is interpreted by
32.31/8.44	 /           \
32.31/8.44	| 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	 \           /
32.31/8.44	2 is interpreted by
32.31/8.44	 /           \
32.31/8.44	| 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	 \           /
32.31/8.44	3 is interpreted by
32.31/8.44	 /           \
32.31/8.44	| 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	 \           /
32.31/8.44	5 is interpreted by
32.31/8.44	 /           \
32.31/8.44	| 1 0 1 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 1 0 |
32.31/8.44	| 0 0 0 0 0 1 |
32.31/8.44	| 0 1 0 0 0 0 |
32.31/8.44	 \           /
32.31/8.44	4 is interpreted by
32.31/8.44	 /           \
32.31/8.44	| 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 |
32.31/8.44	 \           /
32.31/8.44	
32.31/8.44	Remains to prove termination of the 44-rule system
32.31/8.44	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.44	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.44	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.44	  0 4 1 5 5 -> 2 1 3 5 2 2 3 3 2 5 ,
32.31/8.44	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.44	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.44	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.44	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.44	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.44	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.44	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.44	  0 5 4 5 5 5 -> 3 3 4 3 1 4 4 3 3 5 ,
32.31/8.44	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.44	  1 1 4 1 5 5 -> 4 2 3 0 4 4 1 0 0 4 ,
32.31/8.44	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.44	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.44	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.44	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.44	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.44	  5 0 5 5 3 1 -> 5 0 5 1 3 0 0 3 0 1 ,
32.31/8.44	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.44	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.44	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.44	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.44	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.44	  0 5 5 5 1 5 5 -> 0 1 0 1 3 5 1 3 2 5 ,
32.31/8.44	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.44	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.44	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.44	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.44	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.44	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.44	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.44	  4 1 5 0 5 1 4 -> 0 1 0 1 1 0 0 0 0 1 ,
32.31/8.44	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.44	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.44	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.44	  5 2 0 5 4 0 5 -> 3 3 0 4 3 1 5 2 3 2 ,
32.31/8.44	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.44	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.44	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.44	  5 5 2 2 1 1 5 -> 3 3 4 2 3 1 1 3 2 4 ,
32.31/8.44	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.44	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.44	
32.31/8.44	
32.31/8.44	The system was filtered by the following matrix interpretation
32.31/8.44	of type E_J with J = {1,...,2} and dimension 8:
32.31/8.44	
32.31/8.44	0 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 1 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 1 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	1 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	2 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	3 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	5 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 1 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	4 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 1 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	
32.31/8.44	Remains to prove termination of the 43-rule system
32.31/8.44	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.44	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.44	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.44	  0 4 1 5 5 -> 2 1 3 5 2 2 3 3 2 5 ,
32.31/8.44	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.44	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.44	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.44	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.44	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.44	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.44	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.44	  0 5 4 5 5 5 -> 3 3 4 3 1 4 4 3 3 5 ,
32.31/8.44	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.44	  1 1 4 1 5 5 -> 4 2 3 0 4 4 1 0 0 4 ,
32.31/8.44	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.44	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.44	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.44	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.44	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.44	  5 0 5 5 3 1 -> 5 0 5 1 3 0 0 3 0 1 ,
32.31/8.44	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.44	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.44	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.44	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.44	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.44	  0 5 5 5 1 5 5 -> 0 1 0 1 3 5 1 3 2 5 ,
32.31/8.44	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.44	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.44	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.44	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.44	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.44	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.44	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.44	  4 1 5 0 5 1 4 -> 0 1 0 1 1 0 0 0 0 1 ,
32.31/8.44	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.44	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.44	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.44	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.44	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.44	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.44	  5 5 2 2 1 1 5 -> 3 3 4 2 3 1 1 3 2 4 ,
32.31/8.44	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.44	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.44	
32.31/8.44	
32.31/8.44	The system was filtered by the following matrix interpretation
32.31/8.44	of type E_J with J = {1,...,2} and dimension 7:
32.31/8.44	
32.31/8.44	0 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 1 1 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	1 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	2 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	3 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 1 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	5 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 1 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 1 0 0 |
32.31/8.44	| 0 0 0 0 0 1 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	4 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	
32.31/8.44	Remains to prove termination of the 42-rule system
32.31/8.44	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.44	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.44	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.44	  0 4 1 5 5 -> 2 1 3 5 2 2 3 3 2 5 ,
32.31/8.44	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.44	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.44	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.44	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.44	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.44	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.44	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.44	  0 5 4 5 5 5 -> 3 3 4 3 1 4 4 3 3 5 ,
32.31/8.44	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.44	  1 1 4 1 5 5 -> 4 2 3 0 4 4 1 0 0 4 ,
32.31/8.44	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.44	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.44	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.44	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.44	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.44	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.44	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.44	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.44	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.44	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.44	  0 5 5 5 1 5 5 -> 0 1 0 1 3 5 1 3 2 5 ,
32.31/8.44	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.44	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.44	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.44	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.44	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.44	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.44	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.44	  4 1 5 0 5 1 4 -> 0 1 0 1 1 0 0 0 0 1 ,
32.31/8.44	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.44	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.44	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.44	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.44	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.44	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.44	  5 5 2 2 1 1 5 -> 3 3 4 2 3 1 1 3 2 4 ,
32.31/8.44	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.44	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.44	
32.31/8.44	
32.31/8.44	The system was filtered by the following matrix interpretation
32.31/8.44	of type E_J with J = {1,...,2} and dimension 8:
32.31/8.44	
32.31/8.44	0 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	1 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 1 0 |
32.31/8.44	| 0 0 0 0 0 1 0 1 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	2 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 1 0 0 0 |
32.31/8.44	| 0 0 0 0 0 1 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	3 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	5 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	4 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	
32.31/8.44	Remains to prove termination of the 41-rule system
32.31/8.44	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.44	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.44	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.44	  0 4 1 5 5 -> 2 1 3 5 2 2 3 3 2 5 ,
32.31/8.44	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.44	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.44	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.44	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.44	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.44	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.44	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.44	  0 5 4 5 5 5 -> 3 3 4 3 1 4 4 3 3 5 ,
32.31/8.44	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.44	  1 1 4 1 5 5 -> 4 2 3 0 4 4 1 0 0 4 ,
32.31/8.44	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.44	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.44	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.44	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.44	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.44	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.44	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.44	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.44	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.44	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.44	  0 5 5 5 1 5 5 -> 0 1 0 1 3 5 1 3 2 5 ,
32.31/8.44	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.44	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.44	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.44	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.44	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.44	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.44	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.44	  4 1 5 0 5 1 4 -> 0 1 0 1 1 0 0 0 0 1 ,
32.31/8.44	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.44	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.44	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.44	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.44	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.44	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.44	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.44	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.44	
32.31/8.44	
32.31/8.44	The system was filtered by the following matrix interpretation
32.31/8.44	of type E_J with J = {1,...,2} and dimension 7:
32.31/8.44	
32.31/8.44	0 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 1 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 1 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	1 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	2 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 1 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	3 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	5 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 1 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 1 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 1 0 |
32.31/8.44	| 0 0 0 0 0 0 1 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	4 is interpreted by
32.31/8.44	 /             \
32.31/8.44	| 1 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 1 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 |
32.31/8.44	 \             /
32.31/8.44	
32.31/8.44	Remains to prove termination of the 40-rule system
32.31/8.44	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.44	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.44	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.44	  0 4 1 5 5 -> 2 1 3 5 2 2 3 3 2 5 ,
32.31/8.44	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.44	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.44	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.44	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.44	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.44	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.44	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.44	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.44	  1 1 4 1 5 5 -> 4 2 3 0 4 4 1 0 0 4 ,
32.31/8.44	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.44	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.44	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.44	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.44	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.44	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.44	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.44	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.44	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.44	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.44	  0 5 5 5 1 5 5 -> 0 1 0 1 3 5 1 3 2 5 ,
32.31/8.44	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.44	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.44	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.44	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.44	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.44	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.44	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.44	  4 1 5 0 5 1 4 -> 0 1 0 1 1 0 0 0 0 1 ,
32.31/8.44	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.44	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.44	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.44	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.44	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.44	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.44	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.44	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.44	
32.31/8.44	
32.31/8.44	The system was filtered by the following matrix interpretation
32.31/8.44	of type E_J with J = {1,...,2} and dimension 8:
32.31/8.44	
32.31/8.44	0 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	1 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 1 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	2 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	3 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	5 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 1 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 1 0 0 0 0 |
32.31/8.44	| 0 0 0 0 1 0 0 0 |
32.31/8.44	| 0 0 0 0 0 1 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 1 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	4 is interpreted by
32.31/8.44	 /               \
32.31/8.44	| 1 0 0 0 0 0 0 0 |
32.31/8.44	| 0 1 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	| 0 0 0 0 0 0 0 0 |
32.31/8.44	 \               /
32.31/8.44	
32.31/8.44	Remains to prove termination of the 39-rule system
32.31/8.44	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.44	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.44	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  0 4 1 5 5 -> 2 1 3 5 2 2 3 3 2 5 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  1 1 4 1 5 5 -> 4 2 3 0 4 4 1 0 0 4 ,
32.31/8.45	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 1 5 0 5 1 4 -> 0 1 0 1 1 0 0 0 0 1 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 7:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	1 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	2 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	3 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	5 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 |
32.31/8.45	| 0 1 0 1 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	4 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 38-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  0 4 1 5 5 -> 2 1 3 5 2 2 3 3 2 5 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 1 5 0 5 1 4 -> 0 1 0 1 1 0 0 0 0 1 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 8:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 1 |
32.31/8.45	 \               /
32.31/8.45	1 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 1 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	2 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 0 |
32.31/8.45	 \               /
32.31/8.45	3 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	5 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	4 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 1 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 37-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  0 4 1 5 5 -> 2 1 3 5 2 2 3 3 2 5 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 6:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 1 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	1 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	2 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 1 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	3 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 1 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	5 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 1 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	4 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 1 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 36-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 3 1 5 4 4 0 -> 1 0 3 2 1 3 1 0 4 0 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 8:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	1 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	2 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	3 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	5 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 1 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	 \               /
32.31/8.45	4 is interpreted by
32.31/8.45	 /               \
32.31/8.45	| 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 0 1 |
32.31/8.45	| 0 0 0 0 0 0 1 0 |
32.31/8.45	 \               /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 35-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  5 5 2 1 0 -> 3 3 1 3 3 0 4 5 1 2 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 6:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	1 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	2 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 |
32.31/8.45	 \           /
32.31/8.45	3 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	5 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 1 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	4 is interpreted by
32.31/8.45	 /           \
32.31/8.45	| 1 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 |
32.31/8.45	 \           /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 34-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  2 1 1 1 4 5 -> 2 0 4 2 0 3 3 2 1 5 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 7:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	1 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 1 1 0 |
32.31/8.45	| 0 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	2 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	3 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	5 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	4 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 33-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 1 -> 3 2 3 2 2 3 4 0 1 1 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 7:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	1 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	2 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	3 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	5 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 1 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	4 is interpreted by
32.31/8.45	 /             \
32.31/8.45	| 1 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 1 0 0 0 0 |
32.31/8.45	 \             /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 32-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 0 5 5 2 -> 0 1 2 2 0 2 0 1 4 2 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 16:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /                               \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                               /
32.31/8.45	1 is interpreted by
32.31/8.45	 /                               \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                               /
32.31/8.45	2 is interpreted by
32.31/8.45	 /                               \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                               /
32.31/8.45	3 is interpreted by
32.31/8.45	 /                               \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                               /
32.31/8.45	5 is interpreted by
32.31/8.45	 /                               \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                               /
32.31/8.45	4 is interpreted by
32.31/8.45	 /                               \
32.31/8.45	| 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                               /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 31-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 4 4 5 5 5 0 -> 0 4 0 4 1 3 0 4 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 13:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /                         \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                         /
32.31/8.45	1 is interpreted by
32.31/8.45	 /                         \
32.31/8.45	| 1 0 0 0 0 0 0 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                         /
32.31/8.45	2 is interpreted by
32.31/8.45	 /                         \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                         /
32.31/8.45	3 is interpreted by
32.31/8.45	 /                         \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                         /
32.31/8.45	5 is interpreted by
32.31/8.45	 /                         \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                         /
32.31/8.45	4 is interpreted by
32.31/8.45	 /                         \
32.31/8.45	| 1 0 1 0 0 0 0 0 1 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                         /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 30-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  1 5 5 5 2 2 0 -> 3 0 4 2 0 2 1 0 3 2 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 12:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /                       \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 1 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 1 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                       /
32.31/8.45	1 is interpreted by
32.31/8.45	 /                       \
32.31/8.45	| 1 0 1 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                       /
32.31/8.45	2 is interpreted by
32.31/8.45	 /                       \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 1 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                       /
32.31/8.45	3 is interpreted by
32.31/8.45	 /                       \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                       /
32.31/8.45	5 is interpreted by
32.31/8.45	 /                       \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 1 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 1 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 1 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 1 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                       /
32.31/8.45	4 is interpreted by
32.31/8.45	 /                       \
32.31/8.45	| 1 0 1 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 1 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	 \                       /
32.31/8.45	
32.31/8.45	Remains to prove termination of the 29-rule system
32.31/8.45	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.45	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.45	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.45	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.45	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.45	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.45	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.45	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.45	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.45	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.45	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.45	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.45	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.45	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.45	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.45	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.45	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.45	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.45	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.45	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.45	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.45	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.45	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.45	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.45	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.45	  5 2 4 5 3 4 4 -> 2 0 5 2 3 3 5 1 3 4 ,
32.31/8.45	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.45	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.45	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.45	
32.31/8.45	
32.31/8.45	The system was filtered by the following matrix interpretation
32.31/8.45	of type E_J with J = {1,...,2} and dimension 18:
32.31/8.45	
32.31/8.45	0 is interpreted by
32.31/8.45	 /                                   \
32.31/8.45	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
32.31/8.45	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	 \                                   /
32.31/8.46	1 is interpreted by
32.31/8.46	 /                                   \
32.31/8.46	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	 \                                   /
32.31/8.46	2 is interpreted by
32.31/8.46	 /                                   \
32.31/8.46	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	 \                                   /
32.31/8.46	3 is interpreted by
32.31/8.46	 /                                   \
32.31/8.46	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	 \                                   /
32.31/8.46	5 is interpreted by
32.31/8.46	 /                                   \
32.31/8.46	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	 \                                   /
32.31/8.46	4 is interpreted by
32.31/8.46	 /                                   \
32.31/8.46	| 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
32.31/8.46	 \                                   /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 28-rule system
32.31/8.46	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.46	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.46	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.46	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.46	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.46	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.46	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.46	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.46	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.46	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.46	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.46	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.46	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.46	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.46	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.46	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.46	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.46	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.46	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.46	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.46	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.46	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.46	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.46	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.46	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.46	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.46	  5 5 2 5 1 4 0 -> 4 3 1 3 2 0 0 4 3 2 ,
32.31/8.46	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 8:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	1 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 1 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	2 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 1 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	3 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	5 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 1 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 1 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 1 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	4 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 1 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 27-rule system
32.31/8.46	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.46	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.46	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.46	  5 0 5 5 0 -> 3 4 0 3 0 4 0 3 3 5 ,
32.31/8.46	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.46	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.46	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.46	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.46	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.46	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.46	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.46	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.46	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.46	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.46	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.46	  0 5 0 5 5 0 0 -> 0 2 4 0 3 0 3 5 4 0 ,
32.31/8.46	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.46	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.46	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.46	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.46	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.46	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.46	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.46	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.46	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.46	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.46	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 6:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /           \
32.31/8.46	| 1 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	| 0 0 1 1 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	 \           /
32.31/8.46	1 is interpreted by
32.31/8.46	 /           \
32.31/8.46	| 1 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	 \           /
32.31/8.46	2 is interpreted by
32.31/8.46	 /           \
32.31/8.46	| 1 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	 \           /
32.31/8.46	3 is interpreted by
32.31/8.46	 /           \
32.31/8.46	| 1 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	 \           /
32.31/8.46	5 is interpreted by
32.31/8.46	 /           \
32.31/8.46	| 1 0 1 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 1 0 |
32.31/8.46	| 0 0 0 0 0 1 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	 \           /
32.31/8.46	4 is interpreted by
32.31/8.46	 /           \
32.31/8.46	| 1 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 |
32.31/8.46	 \           /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 25-rule system
32.31/8.46	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.46	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.46	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.46	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.46	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.46	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.46	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.46	  1 1 1 5 3 4 -> 1 5 1 3 3 3 2 0 4 4 ,
32.31/8.46	  3 1 1 1 5 4 -> 3 3 5 4 1 5 1 3 5 4 ,
32.31/8.46	  4 4 1 1 5 0 -> 4 0 3 2 2 1 1 0 4 0 ,
32.31/8.46	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.46	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.46	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.46	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.46	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.46	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.46	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.46	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.46	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.46	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.46	  4 1 1 3 1 0 2 -> 4 2 3 5 2 2 0 0 0 0 ,
32.31/8.46	  4 4 4 1 1 5 3 -> 4 4 2 5 3 3 4 3 3 2 ,
32.31/8.46	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.46	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.46	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 7:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	1 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 1 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 1 0 0 0 |
32.31/8.46	| 0 1 0 0 1 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	2 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 1 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	3 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 1 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	5 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 1 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	4 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 1 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 1 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 20-rule system
32.31/8.46	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.46	  5 4 4 0 -> 2 3 1 0 0 3 3 3 4 0 ,
32.31/8.46	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.46	  0 1 0 5 5 2 -> 0 2 3 2 4 0 1 3 2 0 ,
32.31/8.46	  0 2 1 5 5 2 -> 0 3 4 2 1 2 0 1 2 3 ,
32.31/8.46	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.46	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.46	  4 4 4 0 5 0 -> 3 4 0 0 1 3 4 2 3 2 ,
32.31/8.46	  5 5 1 1 0 3 -> 3 3 0 2 5 1 3 3 2 3 ,
32.31/8.46	  0 2 2 5 4 5 2 -> 3 2 2 3 5 2 0 3 2 2 ,
32.31/8.46	  0 4 5 2 1 5 0 -> 0 2 3 2 0 1 5 4 1 2 ,
32.31/8.46	  0 5 4 3 5 2 4 -> 0 3 1 3 0 0 4 3 2 4 ,
32.31/8.46	  1 0 0 5 0 1 3 -> 1 2 0 3 3 4 0 2 1 3 ,
32.31/8.46	  2 1 0 4 5 5 2 -> 4 3 3 2 1 2 4 1 2 3 ,
32.31/8.46	  2 1 1 5 5 5 0 -> 3 3 4 5 3 2 1 4 3 0 ,
32.31/8.46	  2 1 5 3 4 4 0 -> 4 3 2 3 0 1 3 4 3 0 ,
32.31/8.46	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.46	  4 5 5 1 1 3 4 -> 0 2 3 2 0 4 4 5 2 4 ,
32.31/8.46	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 ,
32.31/8.46	  5 5 5 0 0 1 3 -> 5 4 1 2 3 0 0 1 1 3 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 2:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	1 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	2 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	3 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	5 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 1 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	4 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 6-rule system
32.31/8.46	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.46	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.46	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.46	  0 4 4 4 5 4 -> 3 2 0 2 1 3 0 4 5 4 ,
32.31/8.46	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 ,
32.31/8.46	  5 4 4 0 4 5 0 -> 2 3 5 2 2 5 0 4 3 0 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 2:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	1 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	2 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	3 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	5 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	4 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 1 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 4-rule system
32.31/8.46	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.46	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.46	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 ,
32.31/8.46	  2 1 5 5 3 4 4 -> 3 3 1 3 3 1 5 5 4 4 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 8:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	1 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 1 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	2 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 1 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	3 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 1 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	5 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 1 0 0 0 |
32.31/8.46	| 0 0 0 0 0 1 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	4 is interpreted by
32.31/8.46	 /               \
32.31/8.46	| 1 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 1 |
32.31/8.46	| 0 1 0 0 0 0 0 0 |
32.31/8.46	 \               /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 3-rule system
32.31/8.46	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.46	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 ,
32.31/8.46	  0 4 0 5 3 4 -> 0 0 0 0 3 0 4 4 5 1 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 7:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 1 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 1 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	1 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	2 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 1 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	3 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 1 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	5 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 1 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 1 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	4 is interpreted by
32.31/8.46	 /             \
32.31/8.46	| 1 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	| 0 0 0 1 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 0 0 0 0 0 0 |
32.31/8.46	| 0 1 0 0 0 0 0 |
32.31/8.46	 \             /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 2-rule system
32.31/8.46	{ 0 1 1 2 -> 3 3 0 3 3 2 2 0 0 0 ,
32.31/8.46	  0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 2:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 1 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	1 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 2 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	2 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	3 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	5 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 1-rule system
32.31/8.46	{ 0 0 5 0 5 -> 2 5 2 2 3 3 3 5 1 0 }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system was filtered by the following matrix interpretation
32.31/8.46	of type E_J with J = {1,...,2} and dimension 2:
32.31/8.46	
32.31/8.46	0 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 1 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	1 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	2 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	3 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	5 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	4 is interpreted by
32.31/8.46	 /   \
32.31/8.46	| 1 0 |
32.31/8.46	| 0 1 |
32.31/8.46	 \   /
32.31/8.46	
32.31/8.46	Remains to prove termination of the 0-rule system
32.31/8.46	{ }
32.31/8.46	
32.31/8.46	
32.31/8.46	The system is trivially terminating.
37.95/10.11	EOF