29.97/7.83	YES
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 5:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /         \
30.26/7.94	| 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 |
30.26/7.94	| 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	 \         /
30.26/7.94	5 is interpreted by
30.26/7.94	 /         \
30.26/7.94	| 1 0 1 0 0 |
30.26/7.94	| 0 1 0 0 0 |
30.26/7.94	| 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 1 |
30.26/7.94	| 0 1 0 0 0 |
30.26/7.94	 \         /
30.26/7.94	1 is interpreted by
30.26/7.94	 /         \
30.26/7.94	| 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 |
30.26/7.94	 \         /
30.26/7.94	0 is interpreted by
30.26/7.94	 /         \
30.26/7.94	| 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	 \         /
30.26/7.94	4 is interpreted by
30.26/7.94	 /         \
30.26/7.94	| 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	 \         /
30.26/7.94	2 is interpreted by
30.26/7.94	 /         \
30.26/7.94	| 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 |
30.26/7.94	 \         /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 53-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 ,
30.26/7.94	  3 5 3 1 5 5 -> 3 2 4 4 1 1 4 0 2 4 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 3 2 3 5 -> 1 4 2 4 1 2 2 4 1 5 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  1 5 1 3 5 5 5 -> 5 1 2 3 0 2 2 0 5 5 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 7:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	5 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	1 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 |
30.26/7.94	 \             /
30.26/7.94	0 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	4 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	2 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 52-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 ,
30.26/7.94	  3 5 3 1 5 5 -> 3 2 4 4 1 1 4 0 2 4 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  1 5 1 3 5 5 5 -> 5 1 2 3 0 2 2 0 5 5 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 8:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	5 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 1 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	1 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 1 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	0 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	4 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	2 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 51-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 ,
30.26/7.94	  3 5 3 1 5 5 -> 3 2 4 4 1 1 4 0 2 4 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 7:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	5 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	1 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	0 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	4 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	2 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 50-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 8:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	5 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	1 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	0 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 0 |
30.26/7.94	 \               /
30.26/7.94	4 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	2 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 49-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 6:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	5 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 1 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	1 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 1 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	0 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 |
30.26/7.94	 \           /
30.26/7.94	4 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	2 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 48-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 7:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	5 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 1 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	1 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	0 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	4 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	2 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 47-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 13:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /                         \
30.26/7.94	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 1 0 0 0 0 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	 \                         /
30.26/7.94	5 is interpreted by
30.26/7.94	 /                         \
30.26/7.94	| 1 0 0 0 0 0 0 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	 \                         /
30.26/7.94	1 is interpreted by
30.26/7.94	 /                         \
30.26/7.94	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 1 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	 \                         /
30.26/7.94	0 is interpreted by
30.26/7.94	 /                         \
30.26/7.94	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	 \                         /
30.26/7.94	4 is interpreted by
30.26/7.94	 /                         \
30.26/7.94	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	 \                         /
30.26/7.94	2 is interpreted by
30.26/7.94	 /                         \
30.26/7.94	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 1 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
30.26/7.94	 \                         /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 46-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 8:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 1 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	5 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	1 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	0 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 |
30.26/7.94	 \               /
30.26/7.94	4 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	2 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 45-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 ,
30.26/7.94	  4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 ,
30.26/7.94	  5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 ,
30.26/7.94	  3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 ,
30.26/7.94	  4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 ,
30.26/7.94	  4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 ,
30.26/7.94	  4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 ,
30.26/7.94	  5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 ,
30.26/7.94	  5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 ,
30.26/7.94	  5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 5 0 ->= 0 2 0 3 1 1 1 2 2 2 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 5 5 0 ->= 2 5 0 2 3 0 3 0 5 0 ,
30.26/7.94	  5 5 5 1 0 ->= 3 3 5 2 4 4 1 2 1 2 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 8:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	5 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 1 0 0 0 0 1 1 |
30.26/7.94	 \               /
30.26/7.94	1 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	0 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 1 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	4 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 |
30.26/7.94	 \               /
30.26/7.94	2 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 24-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  5 0 0 -> 5 0 3 2 1 2 3 4 0 0 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 4:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	5 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 1 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	1 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	0 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 1 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	 \       /
30.26/7.94	4 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	2 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 23-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 8:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	5 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	1 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	0 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	4 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	2 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 22-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 6:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	5 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 1 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	1 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	0 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	4 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	2 is interpreted by
30.26/7.94	 /           \
30.26/7.94	| 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 |
30.26/7.94	 \           /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 21-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 7:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	5 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	1 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	0 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	4 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	2 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 20-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  0 0 0 ->= 1 2 3 4 4 2 3 3 2 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 4:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	5 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	1 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	0 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 1 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 1 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	 \       /
30.26/7.94	4 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	2 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 18-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 ,
30.26/7.94	  5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 ,
30.26/7.94	  0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 ,
30.26/7.94	  2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 ,
30.26/7.94	  4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 ,
30.26/7.94	  5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  5 3 0 1 ->= 3 4 4 1 4 4 3 2 0 3 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 ,
30.26/7.94	  2 5 3 0 5 0 1 ->= 4 0 4 1 4 0 5 4 2 1 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 2:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /   \
30.26/7.94	| 1 0 |
30.26/7.94	| 0 1 |
30.26/7.94	 \   /
30.26/7.94	5 is interpreted by
30.26/7.94	 /   \
30.26/7.94	| 1 1 |
30.26/7.94	| 0 1 |
30.26/7.94	 \   /
30.26/7.94	1 is interpreted by
30.26/7.94	 /   \
30.26/7.94	| 1 0 |
30.26/7.94	| 0 1 |
30.26/7.94	 \   /
30.26/7.94	0 is interpreted by
30.26/7.94	 /   \
30.26/7.94	| 1 0 |
30.26/7.94	| 0 1 |
30.26/7.94	 \   /
30.26/7.94	4 is interpreted by
30.26/7.94	 /   \
30.26/7.94	| 1 0 |
30.26/7.94	| 0 1 |
30.26/7.94	 \   /
30.26/7.94	2 is interpreted by
30.26/7.94	 /   \
30.26/7.94	| 1 0 |
30.26/7.94	| 0 1 |
30.26/7.94	 \   /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 8-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 7:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	5 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	1 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	0 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	4 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	2 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 7-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 7:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	5 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	1 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	0 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 1 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	4 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	2 is interpreted by
30.26/7.94	 /             \
30.26/7.94	| 1 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 |
30.26/7.94	 \             /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 6-rule system
30.26/7.94	{ 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 ,
30.26/7.94	  0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 4:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 1 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	 \       /
30.26/7.94	5 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 1 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	1 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	0 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	4 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	2 is interpreted by
30.26/7.94	 /       \
30.26/7.94	| 1 0 0 0 |
30.26/7.94	| 0 1 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	| 0 0 0 0 |
30.26/7.94	 \       /
30.26/7.94	
30.26/7.94	Remains to prove termination of the 5-rule system
30.26/7.94	{ 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.94	  3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 ,
30.26/7.94	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.94	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.94	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 }
30.26/7.94	
30.26/7.94	
30.26/7.94	The system was filtered by the following matrix interpretation
30.26/7.94	of type E_J with J = {1,...,2} and dimension 8:
30.26/7.94	
30.26/7.94	3 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 1 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 1 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	5 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 1 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	1 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 1 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 1 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	0 is interpreted by
30.26/7.94	 /               \
30.26/7.94	| 1 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 1 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 0 0 0 0 0 0 0 |
30.26/7.94	| 0 1 0 0 0 0 0 0 |
30.26/7.94	 \               /
30.26/7.94	4 is interpreted by
30.26/7.94	 /               \
30.26/7.95	| 1 0 0 0 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	 \               /
30.26/7.95	2 is interpreted by
30.26/7.95	 /               \
30.26/7.95	| 1 0 0 0 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 0 0 0 |
30.26/7.95	 \               /
30.26/7.95	
30.26/7.95	Remains to prove termination of the 4-rule system
30.26/7.95	{ 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 ,
30.26/7.95	  0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.95	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.95	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 }
30.26/7.95	
30.26/7.95	
30.26/7.95	The system was filtered by the following matrix interpretation
30.26/7.95	of type E_J with J = {1,...,2} and dimension 5:
30.26/7.95	
30.26/7.95	3 is interpreted by
30.26/7.95	 /         \
30.26/7.95	| 1 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	 \         /
30.26/7.95	5 is interpreted by
30.26/7.95	 /         \
30.26/7.95	| 1 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	 \         /
30.26/7.95	1 is interpreted by
30.26/7.95	 /         \
30.26/7.95	| 1 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	| 0 0 0 1 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	 \         /
30.26/7.95	0 is interpreted by
30.26/7.95	 /         \
30.26/7.95	| 1 0 1 0 0 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 1 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	 \         /
30.26/7.95	4 is interpreted by
30.26/7.95	 /         \
30.26/7.95	| 1 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	 \         /
30.26/7.95	2 is interpreted by
30.26/7.95	 /         \
30.26/7.95	| 1 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 0 0 0 0 |
30.26/7.95	| 0 1 0 0 0 |
30.26/7.95	 \         /
30.26/7.95	
30.26/7.95	Remains to prove termination of the 3-rule system
30.26/7.95	{ 0 0 2 ->= 1 0 3 4 3 1 2 0 0 2 ,
30.26/7.95	  4 0 1 ->= 4 4 1 1 4 0 3 4 0 1 ,
30.26/7.95	  2 0 0 2 4 ->= 4 4 0 4 3 1 2 4 0 4 }
30.26/7.95	
30.26/7.95	
30.26/7.95	The system is trivially terminating.
32.55/9.98	EOF