31.63/8.29	YES
32.02/8.40	
32.02/8.40	
32.02/8.40	The system was filtered by the following matrix interpretation
32.02/8.40	of type E_J with J = {1,...,2} and dimension 6:
32.02/8.40	
32.02/8.40	0 is interpreted by
32.02/8.40	 /           \
32.02/8.40	| 1 0 1 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 1 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	 \           /
32.02/8.40	1 is interpreted by
32.02/8.40	 /           \
32.02/8.40	| 1 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	 \           /
32.02/8.40	2 is interpreted by
32.02/8.40	 /           \
32.02/8.40	| 1 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	 \           /
32.02/8.40	3 is interpreted by
32.02/8.40	 /           \
32.02/8.40	| 1 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	 \           /
32.02/8.40	4 is interpreted by
32.02/8.40	 /           \
32.02/8.40	| 1 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	| 0 0 0 1 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	 \           /
32.02/8.40	5 is interpreted by
32.02/8.40	 /           \
32.02/8.40	| 1 0 1 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 1 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 |
32.02/8.40	 \           /
32.02/8.40	
32.02/8.40	Remains to prove termination of the 59-rule system
32.02/8.40	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.40	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.40	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.40	  0 0 1 -> 5 4 2 1 4 1 3 4 2 2 ,
32.02/8.40	  0 2 0 -> 3 0 0 3 2 2 2 4 1 3 ,
32.02/8.40	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.40	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.40	  0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 ,
32.02/8.40	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.40	  4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 ,
32.02/8.40	  0 2 0 0 1 -> 0 2 2 0 5 4 4 3 4 1 ,
32.02/8.40	  0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 ,
32.02/8.40	  3 0 0 1 5 -> 3 2 4 3 2 2 1 2 0 5 ,
32.02/8.40	  3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 ,
32.02/8.40	  3 3 5 0 1 -> 3 2 4 1 1 0 5 1 2 4 ,
32.02/8.40	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.40	  0 0 0 2 2 5 -> 1 3 2 1 4 2 0 1 4 0 ,
32.02/8.40	  0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 ,
32.02/8.40	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.40	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.40	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.40	  0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 ,
32.02/8.40	  0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 ,
32.02/8.40	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.40	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.40	  2 0 0 1 3 5 -> 4 2 4 0 2 4 4 1 3 5 ,
32.02/8.40	  2 5 0 0 3 5 -> 4 1 3 3 3 5 4 0 5 5 ,
32.02/8.40	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.40	  2 5 4 0 0 1 -> 4 4 2 4 1 0 1 1 0 1 ,
32.02/8.40	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.40	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.40	  0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 ,
32.02/8.40	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.40	  0 1 0 0 0 4 2 -> 3 2 5 2 0 4 2 3 4 1 ,
32.02/8.40	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.40	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.40	  0 2 3 1 5 0 1 -> 4 5 5 3 4 1 0 4 2 2 ,
32.02/8.40	  2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 ,
32.02/8.40	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.40	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.40	  3 3 5 0 1 5 2 -> 3 1 5 1 1 2 4 3 1 3 ,
32.02/8.40	  5 0 2 0 5 1 5 -> 5 0 0 0 0 3 2 4 3 5 ,
32.02/8.40	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.40	  5 2 3 5 2 0 2 -> 5 2 2 4 4 1 2 5 5 2 ,
32.02/8.40	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.40	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.40	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.40	  1 0 2 0 1 ->= 1 2 2 0 0 3 1 4 3 1 ,
32.02/8.40	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.40	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.40	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.40	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.40	  0 0 2 5 5 0 ->= 5 2 1 4 2 4 1 2 0 0 ,
32.02/8.40	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.40	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.40	  2 2 5 0 3 0 ->= 4 1 4 1 0 0 4 4 3 0 ,
32.02/8.40	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 ,
32.02/8.40	  0 2 2 3 5 1 5 ->= 5 5 1 3 4 0 3 0 3 0 ,
32.02/8.40	  0 4 1 0 5 0 3 ->= 5 2 3 3 0 3 4 2 5 3 }
32.02/8.40	
32.02/8.40	
32.02/8.40	The system was filtered by the following matrix interpretation
32.02/8.40	of type E_J with J = {1,...,2} and dimension 8:
32.02/8.40	
32.02/8.40	0 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 1 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 1 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	1 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	2 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 1 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 1 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	3 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 1 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	4 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	5 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 1 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 1 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	
32.02/8.40	Remains to prove termination of the 58-rule system
32.02/8.40	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.40	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.40	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.40	  0 0 1 -> 5 4 2 1 4 1 3 4 2 2 ,
32.02/8.40	  0 2 0 -> 3 0 0 3 2 2 2 4 1 3 ,
32.02/8.40	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.40	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.40	  0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 ,
32.02/8.40	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.40	  4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 ,
32.02/8.40	  0 2 0 0 1 -> 0 2 2 0 5 4 4 3 4 1 ,
32.02/8.40	  0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 ,
32.02/8.40	  3 0 0 1 5 -> 3 2 4 3 2 2 1 2 0 5 ,
32.02/8.40	  3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 ,
32.02/8.40	  3 3 5 0 1 -> 3 2 4 1 1 0 5 1 2 4 ,
32.02/8.40	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.40	  0 0 0 2 2 5 -> 1 3 2 1 4 2 0 1 4 0 ,
32.02/8.40	  0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 ,
32.02/8.40	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.40	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.40	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.40	  0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 ,
32.02/8.40	  0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 ,
32.02/8.40	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.40	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.40	  2 0 0 1 3 5 -> 4 2 4 0 2 4 4 1 3 5 ,
32.02/8.40	  2 5 0 0 3 5 -> 4 1 3 3 3 5 4 0 5 5 ,
32.02/8.40	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.40	  2 5 4 0 0 1 -> 4 4 2 4 1 0 1 1 0 1 ,
32.02/8.40	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.40	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.40	  0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 ,
32.02/8.40	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.40	  0 1 0 0 0 4 2 -> 3 2 5 2 0 4 2 3 4 1 ,
32.02/8.40	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.40	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.40	  0 2 3 1 5 0 1 -> 4 5 5 3 4 1 0 4 2 2 ,
32.02/8.40	  2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 ,
32.02/8.40	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.40	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.40	  3 3 5 0 1 5 2 -> 3 1 5 1 1 2 4 3 1 3 ,
32.02/8.40	  5 0 2 0 5 1 5 -> 5 0 0 0 0 3 2 4 3 5 ,
32.02/8.40	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.40	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.40	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.40	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.40	  1 0 2 0 1 ->= 1 2 2 0 0 3 1 4 3 1 ,
32.02/8.40	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.40	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.40	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.40	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.40	  0 0 2 5 5 0 ->= 5 2 1 4 2 4 1 2 0 0 ,
32.02/8.40	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.40	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.40	  2 2 5 0 3 0 ->= 4 1 4 1 0 0 4 4 3 0 ,
32.02/8.40	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 ,
32.02/8.40	  0 2 2 3 5 1 5 ->= 5 5 1 3 4 0 3 0 3 0 ,
32.02/8.40	  0 4 1 0 5 0 3 ->= 5 2 3 3 0 3 4 2 5 3 }
32.02/8.40	
32.02/8.40	
32.02/8.40	The system was filtered by the following matrix interpretation
32.02/8.40	of type E_J with J = {1,...,2} and dimension 8:
32.02/8.40	
32.02/8.40	0 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 1 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 1 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	1 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 1 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	2 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 1 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	3 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 1 0 0 |
32.02/8.40	 \               /
32.02/8.40	4 is interpreted by
32.02/8.40	 /               \
32.02/8.40	| 1 0 0 0 0 0 0 0 |
32.02/8.40	| 0 1 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	| 0 0 0 0 0 0 0 0 |
32.02/8.40	 \               /
32.02/8.40	5 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 57-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  0 0 1 -> 5 4 2 1 4 1 3 4 2 2 ,
32.02/8.41	  0 2 0 -> 3 0 0 3 2 2 2 4 1 3 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 ,
32.02/8.41	  0 2 0 0 1 -> 0 2 2 0 5 4 4 3 4 1 ,
32.02/8.41	  0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 ,
32.02/8.41	  3 0 0 1 5 -> 3 2 4 3 2 2 1 2 0 5 ,
32.02/8.41	  3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 ,
32.02/8.41	  3 3 5 0 1 -> 3 2 4 1 1 0 5 1 2 4 ,
32.02/8.41	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.41	  0 0 0 2 2 5 -> 1 3 2 1 4 2 0 1 4 0 ,
32.02/8.41	  0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 ,
32.02/8.41	  0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  2 0 0 1 3 5 -> 4 2 4 0 2 4 4 1 3 5 ,
32.02/8.41	  2 5 0 0 3 5 -> 4 1 3 3 3 5 4 0 5 5 ,
32.02/8.41	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.41	  2 5 4 0 0 1 -> 4 4 2 4 1 0 1 1 0 1 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 0 0 4 2 -> 3 2 5 2 0 4 2 3 4 1 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  0 2 3 1 5 0 1 -> 4 5 5 3 4 1 0 4 2 2 ,
32.02/8.41	  2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  3 3 5 0 1 5 2 -> 3 1 5 1 1 2 4 3 1 3 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 0 2 0 1 ->= 1 2 2 0 0 3 1 4 3 1 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  0 0 2 5 5 0 ->= 5 2 1 4 2 4 1 2 0 0 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 2 5 0 3 0 ->= 4 1 4 1 0 0 4 4 3 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 ,
32.02/8.41	  0 2 2 3 5 1 5 ->= 5 5 1 3 4 0 3 0 3 0 ,
32.02/8.41	  0 4 1 0 5 0 3 ->= 5 2 3 3 0 3 4 2 5 3 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 10:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	1 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	2 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	3 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	4 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	5 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 51-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  0 0 1 -> 5 4 2 1 4 1 3 4 2 2 ,
32.02/8.41	  0 2 0 -> 3 0 0 3 2 2 2 4 1 3 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 ,
32.02/8.41	  0 2 0 0 1 -> 0 2 2 0 5 4 4 3 4 1 ,
32.02/8.41	  0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 ,
32.02/8.41	  3 0 0 1 5 -> 3 2 4 3 2 2 1 2 0 5 ,
32.02/8.41	  3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 ,
32.02/8.41	  3 3 5 0 1 -> 3 2 4 1 1 0 5 1 2 4 ,
32.02/8.41	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 ,
32.02/8.41	  0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  2 0 0 1 3 5 -> 4 2 4 0 2 4 4 1 3 5 ,
32.02/8.41	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.41	  2 5 4 0 0 1 -> 4 4 2 4 1 0 1 1 0 1 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  0 2 3 1 5 0 1 -> 4 5 5 3 4 1 0 4 2 2 ,
32.02/8.41	  2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  3 3 5 0 1 5 2 -> 3 1 5 1 1 2 4 3 1 3 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 0 2 0 1 ->= 1 2 2 0 0 3 1 4 3 1 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 2 5 0 3 0 ->= 4 1 4 1 0 0 4 4 3 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 ,
32.02/8.41	  0 2 2 3 5 1 5 ->= 5 5 1 3 4 0 3 0 3 0 ,
32.02/8.41	  0 4 1 0 5 0 3 ->= 5 2 3 3 0 3 4 2 5 3 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 8:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	1 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	2 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	3 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	4 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	5 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 1 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 36-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 ,
32.02/8.41	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 ,
32.02/8.41	  0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 ,
32.02/8.41	  0 2 2 3 5 1 5 ->= 5 5 1 3 4 0 3 0 3 0 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 10:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	1 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	2 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	3 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	4 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	5 is interpreted by
32.02/8.41	 /                   \
32.02/8.41	| 1 0 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                   /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 35-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 ,
32.02/8.41	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 ,
32.02/8.41	  0 2 2 3 5 1 5 ->= 5 5 1 3 4 0 3 0 3 0 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 8:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	1 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	2 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 1 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	3 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	4 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	5 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 34-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 ,
32.02/8.41	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 7:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	1 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	2 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	3 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	4 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	5 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 33-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 ,
32.02/8.41	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 5:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 1 1 0 1 |
32.02/8.41	 \         /
32.02/8.41	1 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 1 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	2 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 |
32.02/8.41	 \         /
32.02/8.41	3 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	4 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 1 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 1 0 0 |
32.02/8.41	 \         /
32.02/8.41	5 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 1 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 31-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 12:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /                       \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                       /
32.02/8.41	1 is interpreted by
32.02/8.41	 /                       \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                       /
32.02/8.41	2 is interpreted by
32.02/8.41	 /                       \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                       /
32.02/8.41	3 is interpreted by
32.02/8.41	 /                       \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                       /
32.02/8.41	4 is interpreted by
32.02/8.41	 /                       \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 0 0 0 0 |
32.02/8.41	 \                       /
32.02/8.41	5 is interpreted by
32.02/8.41	 /                       \
32.02/8.41	| 1 0 1 0 0 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                       /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 30-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 7:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	1 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	2 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	3 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	4 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	5 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 29-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 8:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	1 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	2 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	3 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	4 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	5 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 28-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 8:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	1 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	2 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	3 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	4 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	5 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 27-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  0 1 0 4 5 ->= 5 4 1 1 2 3 3 4 2 0 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 6:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 1 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	1 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	2 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	3 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	4 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	5 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 1 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 25-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 8:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	1 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	2 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	3 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	4 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	5 is interpreted by
32.02/8.41	 /               \
32.02/8.41	| 1 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 |
32.02/8.41	 \               /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 24-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 5:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 1 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	1 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	2 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	3 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	4 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	5 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 1 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 22-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 11:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	1 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	2 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	3 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	4 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	5 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 21-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  4 4 0 1 5 ->= 4 2 4 1 1 1 0 4 0 5 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 6:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 1 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	1 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 1 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	2 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	3 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	4 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 1 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	5 is interpreted by
32.02/8.41	 /           \
32.02/8.41	| 1 0 0 0 2 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 |
32.02/8.41	 \           /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 20-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  1 4 5 0 1 ->= 1 4 3 3 4 5 0 1 2 2 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 7:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 1 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	1 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	2 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	3 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	4 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	5 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 1 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 19-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  2 0 1 3 0 1 ->= 4 2 0 2 2 3 2 1 3 3 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 7:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	1 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	2 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	3 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	4 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	5 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 1 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 18-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 7:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	1 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	2 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	3 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	4 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	5 is interpreted by
32.02/8.41	 /             \
32.02/8.41	| 1 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 |
32.02/8.41	 \             /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 17-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 5:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 1 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	1 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	2 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	3 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	4 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	5 is interpreted by
32.02/8.41	 /         \
32.02/8.41	| 1 0 1 0 0 |
32.02/8.41	| 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 |
32.02/8.41	 \         /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 14-rule system
32.02/8.41	{ 0 1 -> 2 0 3 4 3 1 1 2 1 3 ,
32.02/8.41	  0 1 -> 4 4 2 4 2 3 3 1 3 3 ,
32.02/8.41	  0 1 -> 4 4 4 2 1 0 3 4 1 4 ,
32.02/8.41	  1 5 1 -> 1 5 3 2 4 3 0 3 2 4 ,
32.02/8.41	  0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 ,
32.02/8.41	  0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 ,
32.02/8.41	  3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  2 1 0 2 2 5 ->= 4 4 2 2 3 4 0 4 4 0 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 4:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /       \
32.02/8.41	| 1 0 1 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	| 0 0 1 1 |
32.02/8.41	| 0 0 0 0 |
32.02/8.41	 \       /
32.02/8.41	1 is interpreted by
32.02/8.41	 /       \
32.02/8.41	| 1 0 0 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	 \       /
32.02/8.41	2 is interpreted by
32.02/8.41	 /       \
32.02/8.41	| 1 0 0 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	| 0 2 0 0 |
32.02/8.41	| 0 0 0 0 |
32.02/8.41	 \       /
32.02/8.41	3 is interpreted by
32.02/8.41	 /       \
32.02/8.41	| 1 0 0 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	| 0 0 0 0 |
32.02/8.41	| 0 0 0 0 |
32.02/8.41	 \       /
32.02/8.41	4 is interpreted by
32.02/8.41	 /       \
32.02/8.41	| 1 0 0 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	| 0 0 0 0 |
32.02/8.41	 \       /
32.02/8.41	5 is interpreted by
32.02/8.41	 /       \
32.02/8.41	| 1 1 1 0 |
32.02/8.41	| 0 1 0 0 |
32.02/8.41	| 0 0 0 0 |
32.02/8.41	| 0 0 0 0 |
32.02/8.41	 \       /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 6-rule system
32.02/8.41	{ 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.41	  2 0 4 1 5 ->= 2 5 1 4 3 4 2 3 1 0 ,
32.02/8.41	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.41	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.41	
32.02/8.41	
32.02/8.41	The system was filtered by the following matrix interpretation
32.02/8.41	of type E_J with J = {1,...,2} and dimension 11:
32.02/8.41	
32.02/8.41	0 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 1 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 1 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	1 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 1 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	2 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 1 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 1 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	3 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	4 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 1 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 1 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 1 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	5 is interpreted by
32.02/8.41	 /                     \
32.02/8.41	| 1 0 0 0 0 0 1 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 1 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	| 0 0 0 0 0 0 0 0 0 0 0 |
32.02/8.41	 \                     /
32.02/8.41	
32.02/8.41	Remains to prove termination of the 5-rule system
32.02/8.41	{ 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 ,
32.02/8.41	  2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.41	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.42	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.42	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.42	
32.02/8.42	
32.02/8.42	The system was filtered by the following matrix interpretation
32.02/8.42	of type E_J with J = {1,...,2} and dimension 7:
32.02/8.42	
32.02/8.42	0 is interpreted by
32.02/8.42	 /             \
32.02/8.42	| 1 0 1 0 0 0 0 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 1 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	 \             /
32.02/8.42	1 is interpreted by
32.02/8.42	 /             \
32.02/8.42	| 1 0 0 0 0 0 0 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	 \             /
32.02/8.42	2 is interpreted by
32.02/8.42	 /             \
32.02/8.42	| 1 0 0 0 0 0 0 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	| 0 0 0 1 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 1 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	 \             /
32.02/8.42	3 is interpreted by
32.02/8.42	 /             \
32.02/8.42	| 1 0 0 0 0 0 0 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	 \             /
32.02/8.42	4 is interpreted by
32.02/8.42	 /             \
32.02/8.42	| 1 0 0 0 0 0 0 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 1 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	 \             /
32.02/8.42	5 is interpreted by
32.02/8.42	 /             \
32.02/8.42	| 1 0 0 0 0 0 0 |
32.02/8.42	| 0 1 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	| 0 0 0 0 0 0 0 |
32.02/8.42	 \             /
32.02/8.42	
32.02/8.42	Remains to prove termination of the 4-rule system
32.02/8.42	{ 2 0 ->= 2 4 4 3 1 1 2 3 1 0 ,
32.02/8.42	  4 2 5 1 ->= 4 2 1 5 1 3 1 2 2 4 ,
32.02/8.42	  3 1 0 0 4 ->= 3 4 2 5 1 4 2 4 4 1 ,
32.02/8.42	  2 4 5 1 1 4 ->= 4 4 0 0 4 2 4 4 2 4 }
32.02/8.42	
32.02/8.42	
32.02/8.42	The system is trivially terminating.
32.98/9.23	EOF