68.70/17.61	YES
69.23/17.74	
69.23/17.74	
69.23/17.74	The system was filtered by the following matrix interpretation
69.23/17.74	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.74	
69.23/17.74	1 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	5 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	4 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 1 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 1 0 0 0 1 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	0 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 1 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 1 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	3 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 1 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	2 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	
69.23/17.74	Remains to prove termination of the 59-rule system
69.23/17.74	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.74	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.74	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.74	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.74	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.74	  0 5 3 0 4 0 -> 0 5 3 2 4 3 3 3 4 1 ,
69.23/17.74	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.74	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.74	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.74	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.74	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.74	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.74	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.74	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.74	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.74	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.74	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.74	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.74	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.74	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.74	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.74	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.74	  0 1 3 5 3 1 1 -> 0 0 3 3 2 2 2 5 1 1 ,
69.23/17.74	  0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 ,
69.23/17.74	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.74	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.74	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.74	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.74	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.74	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.74	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.74	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.74	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.74	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.74	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.74	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.74	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.74	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.74	  3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 ,
69.23/17.74	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.74	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.74	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.74	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.74	  5 1 5 4 2 2 5 -> 5 5 1 2 3 0 3 2 1 5 ,
69.23/17.74	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.74	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.74	  5 2 3 5 1 0 5 -> 1 1 2 1 1 2 4 3 3 5 ,
69.23/17.74	  5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 ,
69.23/17.74	  5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 ,
69.23/17.74	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.74	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.74	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.74	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.74	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.74	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.74	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.74	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.74	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.74	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.74	
69.23/17.74	
69.23/17.74	The system was filtered by the following matrix interpretation
69.23/17.74	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.74	
69.23/17.74	1 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 1 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	5 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 1 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	4 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	0 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 1 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 1 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	3 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 1 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	2 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	
69.23/17.74	Remains to prove termination of the 58-rule system
69.23/17.74	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.74	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.74	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.74	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.74	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.74	  0 5 3 0 4 0 -> 0 5 3 2 4 3 3 3 4 1 ,
69.23/17.74	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.74	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.74	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.74	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.74	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.74	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.74	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.74	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.74	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.74	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.74	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.74	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.74	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.74	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.74	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.74	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.74	  0 1 3 5 3 1 1 -> 0 0 3 3 2 2 2 5 1 1 ,
69.23/17.74	  0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 ,
69.23/17.74	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.74	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.74	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.74	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.74	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.74	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.74	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.74	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.74	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.74	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.74	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.74	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.74	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.74	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.74	  3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 ,
69.23/17.74	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.74	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.74	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.74	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.74	  5 1 5 4 2 2 5 -> 5 5 1 2 3 0 3 2 1 5 ,
69.23/17.74	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.74	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.74	  5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 ,
69.23/17.74	  5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 ,
69.23/17.74	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.74	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.74	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.74	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.74	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.74	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.74	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.74	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.74	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.74	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.74	
69.23/17.74	
69.23/17.74	The system was filtered by the following matrix interpretation
69.23/17.74	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.74	
69.23/17.74	1 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 1 0 |
69.23/17.74	| 0 0 1 0 0 0 0 1 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	5 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	4 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	0 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	3 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 1 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	2 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 1 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	
69.23/17.74	Remains to prove termination of the 57-rule system
69.23/17.74	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.74	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.74	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.74	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.74	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.74	  0 5 3 0 4 0 -> 0 5 3 2 4 3 3 3 4 1 ,
69.23/17.74	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.74	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.74	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.74	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.74	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.74	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.74	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.74	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.74	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.74	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.74	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.74	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.74	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.74	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.74	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.74	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.74	  0 1 3 5 3 1 1 -> 0 0 3 3 2 2 2 5 1 1 ,
69.23/17.74	  0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 ,
69.23/17.74	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.74	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.74	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.74	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.74	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.74	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.74	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.74	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.74	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.74	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.74	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.74	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.74	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.74	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.74	  3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 ,
69.23/17.74	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.74	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.74	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.74	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.74	  5 1 5 4 2 2 5 -> 5 5 1 2 3 0 3 2 1 5 ,
69.23/17.74	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.74	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.74	  5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 ,
69.23/17.74	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.74	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.74	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.74	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.74	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.74	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.74	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.74	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.74	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.74	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.74	
69.23/17.74	
69.23/17.74	The system was filtered by the following matrix interpretation
69.23/17.74	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.74	
69.23/17.74	1 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 1 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	5 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	4 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 1 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	0 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 1 0 0 |
69.23/17.74	| 0 0 0 0 0 0 1 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	3 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	2 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	
69.23/17.74	Remains to prove termination of the 56-rule system
69.23/17.74	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.74	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.74	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.74	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.74	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.74	  0 5 3 0 4 0 -> 0 5 3 2 4 3 3 3 4 1 ,
69.23/17.74	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.74	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.74	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.74	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.74	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.74	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.74	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.74	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.74	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.74	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.74	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.74	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.74	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.74	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.74	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.74	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.74	  0 1 3 5 3 1 1 -> 0 0 3 3 2 2 2 5 1 1 ,
69.23/17.74	  0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 ,
69.23/17.74	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.74	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.74	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.74	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.74	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.74	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.74	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.74	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.74	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.74	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.74	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.74	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.74	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.74	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.74	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.74	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.74	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.74	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.74	  5 1 5 4 2 2 5 -> 5 5 1 2 3 0 3 2 1 5 ,
69.23/17.74	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.74	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.74	  5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 ,
69.23/17.74	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.74	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.74	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.74	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.74	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.74	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.74	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.74	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.74	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.74	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.74	
69.23/17.74	
69.23/17.74	The system was filtered by the following matrix interpretation
69.23/17.74	of type E_J with J = {1,...,2} and dimension 13:
69.23/17.74	
69.23/17.74	1 is interpreted by
69.23/17.74	 /                         \
69.23/17.74	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	 \                         /
69.23/17.74	5 is interpreted by
69.23/17.74	 /                         \
69.23/17.74	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	 \                         /
69.23/17.74	4 is interpreted by
69.23/17.74	 /                         \
69.23/17.74	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	 \                         /
69.23/17.74	0 is interpreted by
69.23/17.74	 /                         \
69.23/17.74	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	 \                         /
69.23/17.74	3 is interpreted by
69.23/17.74	 /                         \
69.23/17.74	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 1 1 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	 \                         /
69.23/17.74	2 is interpreted by
69.23/17.74	 /                         \
69.23/17.74	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 1 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.74	 \                         /
69.23/17.74	
69.23/17.74	Remains to prove termination of the 55-rule system
69.23/17.74	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.74	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.74	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.74	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.74	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.74	  0 5 3 0 4 0 -> 0 5 3 2 4 3 3 3 4 1 ,
69.23/17.74	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.74	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.74	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.74	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.74	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.74	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.74	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.74	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.74	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.74	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.74	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.74	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.74	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.74	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.74	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.74	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.74	  0 1 3 5 3 1 1 -> 0 0 3 3 2 2 2 5 1 1 ,
69.23/17.74	  0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 ,
69.23/17.74	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.74	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.74	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.74	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.74	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.74	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.74	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.74	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.74	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.74	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.74	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.74	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.74	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.74	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.74	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.74	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.74	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.74	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.74	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.74	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.74	  5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 ,
69.23/17.74	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.74	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.74	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.74	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.74	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.74	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.74	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.74	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.74	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.74	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.74	
69.23/17.74	
69.23/17.74	The system was filtered by the following matrix interpretation
69.23/17.74	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.74	
69.23/17.74	1 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 1 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	5 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 1 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	4 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	0 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 1 1 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	3 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 1 1 0 0 0 0 |
69.23/17.74	| 0 0 0 0 1 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 1 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	 \               /
69.23/17.74	2 is interpreted by
69.23/17.74	 /               \
69.23/17.74	| 1 0 0 0 0 0 0 0 |
69.23/17.74	| 0 1 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.74	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 54-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 3 0 4 0 -> 0 5 3 2 4 3 3 3 4 1 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.75	  0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 ,
69.23/17.75	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.75	  5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	5 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	4 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	0 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	3 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	2 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 53-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.75	  0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 ,
69.23/17.75	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.75	  5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 52-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.75	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.75	  5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 13:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	5 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	4 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	0 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	3 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	2 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 51-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 ,
69.23/17.75	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 12:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /                       \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                       /
69.23/17.75	5 is interpreted by
69.23/17.75	 /                       \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                       /
69.23/17.75	4 is interpreted by
69.23/17.75	 /                       \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                       /
69.23/17.75	0 is interpreted by
69.23/17.75	 /                       \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                       /
69.23/17.75	3 is interpreted by
69.23/17.75	 /                       \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                       /
69.23/17.75	2 is interpreted by
69.23/17.75	 /                       \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                       /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 50-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 13:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	5 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	4 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	0 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	3 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	2 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 49-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 48-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 47-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 6:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	5 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	4 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	0 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	3 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	2 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 44-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	5 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	4 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	0 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	3 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	2 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 43-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 11:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /                     \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                     /
69.23/17.75	5 is interpreted by
69.23/17.75	 /                     \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                     /
69.23/17.75	4 is interpreted by
69.23/17.75	 /                     \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                     /
69.23/17.75	0 is interpreted by
69.23/17.75	 /                     \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                     /
69.23/17.75	3 is interpreted by
69.23/17.75	 /                     \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                     /
69.23/17.75	2 is interpreted by
69.23/17.75	 /                     \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                     /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 42-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 ,
69.23/17.75	  1 3 5 4 1 1 1 ->= 3 4 4 4 1 4 3 1 1 1 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 41-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 40-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 13:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	5 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	4 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	0 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	3 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	2 is interpreted by
69.23/17.75	 /                         \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                         /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 39-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 38-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	5 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	4 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	0 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	3 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 1 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	2 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 37-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 ,
69.23/17.75	  2 3 1 4 0 5 ->= 2 5 3 4 4 3 2 2 0 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	5 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	4 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	0 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	3 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	2 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 36-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  1 0 3 0 ->= 4 4 3 3 3 2 5 2 3 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 5:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /         \
69.23/17.75	| 1 0 1 0 0 |
69.23/17.75	| 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	 \         /
69.23/17.75	5 is interpreted by
69.23/17.75	 /         \
69.23/17.75	| 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 |
69.23/17.75	 \         /
69.23/17.75	4 is interpreted by
69.23/17.75	 /         \
69.23/17.75	| 1 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 1 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	 \         /
69.23/17.75	0 is interpreted by
69.23/17.75	 /         \
69.23/17.75	| 1 0 1 0 0 |
69.23/17.75	| 0 1 0 0 0 |
69.23/17.75	| 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 |
69.23/17.75	 \         /
69.23/17.75	3 is interpreted by
69.23/17.75	 /         \
69.23/17.75	| 1 0 1 0 0 |
69.23/17.75	| 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	 \         /
69.23/17.75	2 is interpreted by
69.23/17.75	 /         \
69.23/17.75	| 1 0 1 0 0 |
69.23/17.75	| 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 |
69.23/17.75	 \         /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 34-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 33-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 32-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 6:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	5 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 1 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	4 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	0 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 1 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	3 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	2 is interpreted by
69.23/17.75	 /           \
69.23/17.75	| 1 0 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 |
69.23/17.75	 \           /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 31-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 1 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 30-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	5 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	4 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	0 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	3 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	2 is interpreted by
69.23/17.75	 /               \
69.23/17.75	| 1 0 1 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 |
69.23/17.75	 \               /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 29-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 10:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /                   \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 1 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                   /
69.23/17.75	5 is interpreted by
69.23/17.75	 /                   \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                   /
69.23/17.75	4 is interpreted by
69.23/17.75	 /                   \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                   /
69.23/17.75	0 is interpreted by
69.23/17.75	 /                   \
69.23/17.75	| 1 0 1 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 1 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                   /
69.23/17.75	3 is interpreted by
69.23/17.75	 /                   \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 1 1 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                   /
69.23/17.75	2 is interpreted by
69.23/17.75	 /                   \
69.23/17.75	| 1 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 0 0 0 |
69.23/17.75	 \                   /
69.23/17.75	
69.23/17.75	Remains to prove termination of the 28-rule system
69.23/17.75	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.75	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.75	  0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 ,
69.23/17.75	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.75	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.75	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.75	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.75	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.75	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.75	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.75	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.75	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.75	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.75	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.75	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.75	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.75	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.75	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.75	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.75	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.75	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.75	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.75	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.75	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.75	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.75	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.75	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.75	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.75	
69.23/17.75	
69.23/17.75	The system was filtered by the following matrix interpretation
69.23/17.75	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.75	
69.23/17.75	1 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 1 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	5 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 0 1 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 1 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	 \             /
69.23/17.75	4 is interpreted by
69.23/17.75	 /             \
69.23/17.75	| 1 0 0 0 0 0 0 |
69.23/17.75	| 0 1 0 0 0 0 0 |
69.23/17.75	| 0 0 1 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.75	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	0 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	3 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	2 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 27-rule system
69.23/17.76	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.76	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.76	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.76	  3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.76	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	5 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 0 1 |
69.23/17.76	 \               /
69.23/17.76	4 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	0 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	3 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	2 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 26-rule system
69.23/17.76	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.76	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.76	  1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 ,
69.23/17.76	  1 5 1 1 5 ->= 2 0 2 2 1 1 2 1 2 5 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 6:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /           \
69.23/17.76	| 1 0 1 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	 \           /
69.23/17.76	5 is interpreted by
69.23/17.76	 /           \
69.23/17.76	| 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 |
69.23/17.76	 \           /
69.23/17.76	4 is interpreted by
69.23/17.76	 /           \
69.23/17.76	| 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	 \           /
69.23/17.76	0 is interpreted by
69.23/17.76	 /           \
69.23/17.76	| 1 0 1 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 |
69.23/17.76	| 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	 \           /
69.23/17.76	3 is interpreted by
69.23/17.76	 /           \
69.23/17.76	| 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 |
69.23/17.76	| 0 0 1 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	 \           /
69.23/17.76	2 is interpreted by
69.23/17.76	 /           \
69.23/17.76	| 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 |
69.23/17.76	 \           /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 23-rule system
69.23/17.76	{ 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 ,
69.23/17.76	  1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 5:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	5 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	4 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 1 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	0 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	3 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	2 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 21-rule system
69.23/17.76	{ 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	5 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	4 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	0 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	3 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	2 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 20-rule system
69.23/17.76	{ 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  2 5 5 1 ->= 3 2 4 4 4 3 4 4 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 5:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	5 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	4 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	0 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	3 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	2 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 19-rule system
69.23/17.76	{ 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	5 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	4 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	0 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 |
69.23/17.76	 \             /
69.23/17.76	3 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	2 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 18-rule system
69.23/17.76	{ 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	5 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	4 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	0 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	3 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	2 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 17-rule system
69.23/17.76	{ 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	5 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	4 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 1 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	0 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	3 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	2 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 16-rule system
69.23/17.76	{ 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	5 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	4 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	0 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	3 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	2 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 15-rule system
69.23/17.76	{ 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  5 1 5 3 ->= 2 4 3 2 1 3 2 3 5 0 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 5:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	5 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	4 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	0 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 1 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	3 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 1 1 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	 \         /
69.23/17.76	2 is interpreted by
69.23/17.76	 /         \
69.23/17.76	| 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 |
69.23/17.76	| 0 0 1 0 0 |
69.23/17.76	 \         /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 12-rule system
69.23/17.76	{ 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 ,
69.23/17.76	  1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 ,
69.23/17.76	  1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 ,
69.23/17.76	  1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 ,
69.23/17.76	  0 1 1 ->= 2 3 3 2 3 4 4 3 4 1 ,
69.23/17.76	  1 5 1 1 3 ->= 4 3 4 3 3 4 0 0 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 2:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 1 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	5 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	4 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	0 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	3 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	2 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 5-rule system
69.23/17.76	{ 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 ,
69.23/17.76	  5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 2:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	5 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 1 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	4 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	0 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	3 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	2 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 4-rule system
69.23/17.76	{ 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	5 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	4 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	0 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	3 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	2 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 3-rule system
69.23/17.76	{ 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 ,
69.23/17.76	  2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 8:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	5 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	4 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	0 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	3 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	2 is interpreted by
69.23/17.76	 /               \
69.23/17.76	| 1 0 1 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 0 |
69.23/17.76	 \               /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 2-rule system
69.23/17.76	{ 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 ,
69.23/17.76	  5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 2:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	5 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	4 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	0 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 1 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	3 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	2 is interpreted by
69.23/17.76	 /   \
69.23/17.76	| 1 0 |
69.23/17.76	| 0 1 |
69.23/17.76	 \   /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 1-rule system
69.23/17.76	{ 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system was filtered by the following matrix interpretation
69.23/17.76	of type E_J with J = {1,...,2} and dimension 7:
69.23/17.76	
69.23/17.76	1 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 1 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 1 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	5 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 1 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	4 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	0 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 1 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 1 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	3 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	2 is interpreted by
69.23/17.76	 /             \
69.23/17.76	| 1 0 0 0 0 0 0 |
69.23/17.76	| 0 1 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	| 0 0 0 0 0 0 0 |
69.23/17.76	 \             /
69.23/17.76	
69.23/17.76	Remains to prove termination of the 0-rule system
69.23/17.76	{ }
69.23/17.76	
69.23/17.76	
69.23/17.76	The system is trivially terminating.
70.95/19.14	EOF