19.70/5.24	YES
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 59-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 3 1 0 4 0 5 -> 3 5 1 4 4 5 4 5 5 5 ,
20.33/5.41	  0 3 4 1 5 1 5 -> 3 4 3 5 4 5 4 1 2 5 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 3 0 5 1 5 -> 2 3 5 2 5 1 2 3 3 5 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 4 5 5 0 4 -> 5 5 0 3 2 0 3 2 0 4 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 0 5 4 3 1 5 -> 3 4 0 3 2 5 4 3 5 5 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  5 3 4 3 0 3 1 -> 5 5 2 3 5 4 4 1 3 4 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  0 0 5 3 1 5 ->= 2 3 2 5 5 1 1 2 3 5 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  2 0 1 0 5 1 5 ->= 0 4 1 0 4 3 5 4 3 5 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 1 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 58-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 3 1 0 4 0 5 -> 3 5 1 4 4 5 4 5 5 5 ,
20.33/5.41	  0 3 4 1 5 1 5 -> 3 4 3 5 4 5 4 1 2 5 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 3 0 5 1 5 -> 2 3 5 2 5 1 2 3 3 5 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 4 5 5 0 4 -> 5 5 0 3 2 0 3 2 0 4 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 0 5 4 3 1 5 -> 3 4 0 3 2 5 4 3 5 5 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  0 0 5 3 1 5 ->= 2 3 2 5 5 1 1 2 3 5 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  2 0 1 0 5 1 5 ->= 0 4 1 0 4 3 5 4 3 5 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 57-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 3 1 0 4 0 5 -> 3 5 1 4 4 5 4 5 5 5 ,
20.33/5.41	  0 3 4 1 5 1 5 -> 3 4 3 5 4 5 4 1 2 5 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 4 5 5 0 4 -> 5 5 0 3 2 0 3 2 0 4 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 0 5 4 3 1 5 -> 3 4 0 3 2 5 4 3 5 5 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  0 0 5 3 1 5 ->= 2 3 2 5 5 1 1 2 3 5 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  2 0 1 0 5 1 5 ->= 0 4 1 0 4 3 5 4 3 5 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 56-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 3 1 0 4 0 5 -> 3 5 1 4 4 5 4 5 5 5 ,
20.33/5.41	  0 3 4 1 5 1 5 -> 3 4 3 5 4 5 4 1 2 5 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 4 5 5 0 4 -> 5 5 0 3 2 0 3 2 0 4 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  0 0 5 3 1 5 ->= 2 3 2 5 5 1 1 2 3 5 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  2 0 1 0 5 1 5 ->= 0 4 1 0 4 3 5 4 3 5 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 55-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 3 4 1 5 1 5 -> 3 4 3 5 4 5 4 1 2 5 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 4 5 5 0 4 -> 5 5 0 3 2 0 3 2 0 4 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  0 0 5 3 1 5 ->= 2 3 2 5 5 1 1 2 3 5 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  2 0 1 0 5 1 5 ->= 0 4 1 0 4 3 5 4 3 5 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 7:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /             \
20.33/5.41	| 1 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	 \             /
20.33/5.41	4 is interpreted by
20.33/5.41	 /             \
20.33/5.41	| 1 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 |
20.33/5.41	 \             /
20.33/5.41	0 is interpreted by
20.33/5.41	 /             \
20.33/5.41	| 1 0 1 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 |
20.33/5.41	 \             /
20.33/5.41	5 is interpreted by
20.33/5.41	 /             \
20.33/5.41	| 1 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 |
20.33/5.41	 \             /
20.33/5.41	3 is interpreted by
20.33/5.41	 /             \
20.33/5.41	| 1 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	 \             /
20.33/5.41	2 is interpreted by
20.33/5.41	 /             \
20.33/5.41	| 1 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 |
20.33/5.41	 \             /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 54-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 3 4 1 5 1 5 -> 3 4 3 5 4 5 4 1 2 5 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 4 5 5 0 4 -> 5 5 0 3 2 0 3 2 0 4 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  2 0 1 0 5 1 5 ->= 0 4 1 0 4 3 5 4 3 5 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 14:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /                           \
20.33/5.41	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	 \                           /
20.33/5.41	4 is interpreted by
20.33/5.41	 /                           \
20.33/5.41	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	 \                           /
20.33/5.41	0 is interpreted by
20.33/5.41	 /                           \
20.33/5.41	| 1 0 0 0 0 0 0 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	 \                           /
20.33/5.41	5 is interpreted by
20.33/5.41	 /                           \
20.33/5.41	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	 \                           /
20.33/5.41	3 is interpreted by
20.33/5.41	 /                           \
20.33/5.41	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	 \                           /
20.33/5.41	2 is interpreted by
20.33/5.41	 /                           \
20.33/5.41	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.41	 \                           /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 53-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 3 4 1 5 1 5 -> 3 4 3 5 4 5 4 1 2 5 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 4 5 5 0 4 -> 5 5 0 3 2 0 3 2 0 4 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 52-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 4 5 5 0 4 -> 5 5 0 3 2 0 3 2 0 4 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 1 0 0 0 0 1 0 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 51-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 0 5 0 1 0 4 -> 5 1 3 2 3 0 0 0 3 0 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 1 0 0 0 0 1 0 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 1 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 50-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 0 1 0 1 5 1 -> 2 3 5 1 0 1 4 4 1 1 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 49-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 2 5 3 2 5 1 -> 2 5 0 3 3 5 1 4 1 1 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.41	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.41	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.41	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.41	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.41	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.41	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.41	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.41	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.41	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.41	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.41	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.41	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.41	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.41	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.41	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.41	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.41	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.41	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.41	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.41	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.41	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.41	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.41	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.41	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.41	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.41	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.41	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.41	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.41	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.41	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.41	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.41	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.41	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.41	
20.33/5.41	
20.33/5.41	The system was filtered by the following matrix interpretation
20.33/5.41	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.41	
20.33/5.41	1 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	4 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	0 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 1 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	5 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 1 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 1 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	3 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 1 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	2 is interpreted by
20.33/5.41	 /               \
20.33/5.41	| 1 0 0 0 0 0 0 0 |
20.33/5.41	| 0 1 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 1 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 1 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	| 0 0 0 0 0 0 0 0 |
20.33/5.41	 \               /
20.33/5.41	
20.33/5.41	Remains to prove termination of the 48-rule system
20.33/5.41	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.41	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.41	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.41	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.41	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.41	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.41	  5 2 0 1 5 1 -> 2 4 4 1 2 3 5 4 1 1 ,
20.33/5.41	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.41	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.41	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.41	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.41	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.41	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.41	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.41	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.42	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.42	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.42	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.42	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.42	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.42	
20.33/5.42	
20.33/5.42	The system was filtered by the following matrix interpretation
20.33/5.42	of type E_J with J = {1,...,2} and dimension 13:
20.33/5.42	
20.33/5.42	1 is interpreted by
20.33/5.42	 /                         \
20.33/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	 \                         /
20.33/5.42	4 is interpreted by
20.33/5.42	 /                         \
20.33/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	 \                         /
20.33/5.42	0 is interpreted by
20.33/5.42	 /                         \
20.33/5.42	| 1 0 0 0 0 0 0 1 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	 \                         /
20.33/5.42	5 is interpreted by
20.33/5.42	 /                         \
20.33/5.42	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	 \                         /
20.33/5.42	3 is interpreted by
20.33/5.42	 /                         \
20.33/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	 \                         /
20.33/5.42	2 is interpreted by
20.33/5.42	 /                         \
20.33/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.33/5.42	 \                         /
20.33/5.42	
20.33/5.42	Remains to prove termination of the 47-rule system
20.33/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.42	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.42	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.42	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.42	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.42	  5 3 1 2 1 2 4 -> 0 3 0 2 3 2 3 3 2 4 ,
20.33/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.42	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.42	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.42	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.42	
20.33/5.42	
20.33/5.42	The system was filtered by the following matrix interpretation
20.33/5.42	of type E_J with J = {1,...,2} and dimension 8:
20.33/5.42	
20.33/5.42	1 is interpreted by
20.33/5.42	 /               \
20.33/5.42	| 1 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 1 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 1 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 |
20.33/5.42	 \               /
20.33/5.42	4 is interpreted by
20.33/5.42	 /               \
20.33/5.42	| 1 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 |
20.33/5.42	 \               /
20.33/5.42	0 is interpreted by
20.33/5.42	 /               \
20.33/5.42	| 1 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	 \               /
20.33/5.42	5 is interpreted by
20.33/5.42	 /               \
20.33/5.42	| 1 0 1 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	 \               /
20.33/5.42	3 is interpreted by
20.33/5.42	 /               \
20.33/5.42	| 1 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 |
20.33/5.42	| 0 0 1 1 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	 \               /
20.33/5.42	2 is interpreted by
20.33/5.42	 /               \
20.33/5.42	| 1 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 1 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 1 |
20.33/5.42	| 0 0 0 0 0 0 0 0 |
20.33/5.42	 \               /
20.33/5.42	
20.33/5.42	Remains to prove termination of the 46-rule system
20.33/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.42	  0 1 0 3 1 2 -> 3 3 4 3 5 4 3 5 4 2 ,
20.33/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.42	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.42	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.33/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.33/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.33/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.33/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.33/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.33/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.33/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.33/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.33/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.33/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.33/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.33/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.33/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.33/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.33/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.33/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.33/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.33/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.33/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.33/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.33/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.33/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.33/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.33/5.42	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.33/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.33/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.33/5.42	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.33/5.42	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.33/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.33/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.33/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.33/5.42	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.33/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.33/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.33/5.42	
20.33/5.42	
20.33/5.42	The system was filtered by the following matrix interpretation
20.33/5.42	of type E_J with J = {1,...,2} and dimension 7:
20.33/5.42	
20.33/5.42	1 is interpreted by
20.33/5.42	 /             \
20.33/5.42	| 1 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	| 0 0 0 1 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 1 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	 \             /
20.33/5.42	4 is interpreted by
20.33/5.42	 /             \
20.33/5.42	| 1 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	 \             /
20.33/5.42	0 is interpreted by
20.33/5.42	 /             \
20.33/5.42	| 1 0 1 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 1 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	 \             /
20.33/5.42	5 is interpreted by
20.33/5.42	 /             \
20.33/5.42	| 1 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	 \             /
20.33/5.42	3 is interpreted by
20.33/5.42	 /             \
20.33/5.42	| 1 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 1 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	 \             /
20.33/5.42	2 is interpreted by
20.33/5.42	 /             \
20.33/5.42	| 1 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 0 0 0 0 0 0 |
20.33/5.42	| 0 1 0 0 0 0 0 |
20.33/5.42	 \             /
20.33/5.42	
20.33/5.42	Remains to prove termination of the 45-rule system
20.33/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.33/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.33/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.33/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.33/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.33/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.33/5.42	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.33/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.33/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.33/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.33/5.42	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.42/5.42	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.42/5.42	  0 1 0 1 2 ->= 0 1 1 1 1 3 2 2 3 2 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 6:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /           \
20.42/5.42	| 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 1 0 |
20.42/5.42	 \           /
20.42/5.42	4 is interpreted by
20.42/5.42	 /           \
20.42/5.42	| 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 |
20.42/5.42	 \           /
20.42/5.42	0 is interpreted by
20.42/5.42	 /           \
20.42/5.42	| 1 0 1 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	 \           /
20.42/5.42	5 is interpreted by
20.42/5.42	 /           \
20.42/5.42	| 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	 \           /
20.42/5.42	3 is interpreted by
20.42/5.42	 /           \
20.42/5.42	| 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	 \           /
20.42/5.42	2 is interpreted by
20.42/5.42	 /           \
20.42/5.42	| 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 |
20.42/5.42	 \           /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 44-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.42/5.42	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  0 4 0 3 1 4 0 ->= 3 3 3 2 1 3 0 2 3 0 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	4 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 1 |
20.42/5.42	 \               /
20.42/5.42	0 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	5 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	3 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	2 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 43-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 0 0 1 4 3 0 -> 0 4 3 2 3 2 0 2 3 0 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 2 4 0 4 -> 0 4 3 3 1 3 3 5 1 1 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.42/5.42	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	4 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	0 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 1 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	5 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	3 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	2 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 41-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 1 3 3 4 -> 0 2 0 0 4 1 1 3 3 4 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.42/5.42	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 14:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	4 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	0 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	5 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	3 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	2 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 40-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.42/5.42	  5 3 3 0 3 1 0 -> 3 2 4 1 1 3 3 5 4 0 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 14:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	4 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	0 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	5 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	3 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	2 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 39-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 1 5 3 0 1 2 -> 2 3 5 5 5 3 5 4 5 2 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	4 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	0 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	5 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	3 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	2 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 1 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 38-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 1 5 1 4 0 2 -> 3 0 4 3 5 0 2 0 0 2 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	4 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	0 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	5 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	3 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	2 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 37-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 3 2 4 3 1 2 -> 0 2 2 2 2 3 5 1 3 4 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	4 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	0 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	5 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	3 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 1 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	2 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 36-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 0 5 5 1 5 0 -> 4 2 0 0 2 0 3 0 3 0 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	4 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	 \               /
20.42/5.42	0 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	5 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	3 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	2 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 35-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  3 0 5 4 3 1 0 ->= 3 2 2 3 4 4 3 2 1 0 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	4 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	0 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	5 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	 \               /
20.42/5.42	3 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	2 is interpreted by
20.42/5.42	 /               \
20.42/5.42	| 1 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 |
20.42/5.42	 \               /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 34-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  2 1 0 3 1 2 -> 3 3 5 3 2 4 1 1 1 1 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 7:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.42	4 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.42	0 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.42	5 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.42	3 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.42	2 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 1 1 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 33-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 1 5 1 4 2 -> 3 3 2 3 5 1 4 4 1 3 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 14:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	4 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 1 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	0 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	5 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	3 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	2 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 32-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  0 5 4 2 4 5 2 -> 0 3 3 3 5 3 5 5 1 1 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 14:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	4 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	0 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	5 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	3 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 1 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	2 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 31-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 3 1 5 4 0 1 -> 2 5 3 0 3 0 0 3 0 1 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 14:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	4 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	0 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 1 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	5 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	3 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	2 is interpreted by
20.42/5.42	 /                           \
20.42/5.42	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.42	 \                           /
20.42/5.42	
20.42/5.42	Remains to prove termination of the 30-rule system
20.42/5.42	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.42	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.42	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.42	  3 4 1 0 1 2 -> 3 4 4 3 5 4 2 3 2 4 ,
20.42/5.42	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.42	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.42	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.42	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.42	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.42	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.42	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.42	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.42	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.42	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.42	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.42	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.42	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.42	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.42	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.42	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.42	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.42	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.42	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.42	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.42	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.42	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.42	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.42	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.42	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.42	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.42	
20.42/5.42	
20.42/5.42	The system was filtered by the following matrix interpretation
20.42/5.42	of type E_J with J = {1,...,2} and dimension 7:
20.42/5.42	
20.42/5.42	1 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 1 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 1 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.42	4 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 1 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.42	0 is interpreted by
20.42/5.42	 /             \
20.42/5.42	| 1 0 0 0 0 0 0 |
20.42/5.42	| 0 1 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 1 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	| 0 0 0 0 0 0 0 |
20.42/5.42	 \             /
20.42/5.43	5 is interpreted by
20.42/5.43	 /             \
20.42/5.43	| 1 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	 \             /
20.42/5.43	3 is interpreted by
20.42/5.43	 /             \
20.42/5.43	| 1 0 1 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	 \             /
20.42/5.43	2 is interpreted by
20.42/5.43	 /             \
20.42/5.43	| 1 0 1 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 1 0 0 0 |
20.42/5.43	 \             /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 29-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.43	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.43	  4 0 2 5 3 0 2 -> 3 5 4 1 1 4 1 0 0 2 ,
20.42/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.43	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.43	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.43	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.43	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.43	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.43	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.43	
20.42/5.43	
20.42/5.43	The system was filtered by the following matrix interpretation
20.42/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.43	
20.42/5.43	1 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	4 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	0 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	5 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 1 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	3 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 1 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	2 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 1 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 28-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.43	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.43	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.43	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.43	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.43	  5 1 2 1 4 0 1 -> 5 4 1 2 3 3 5 4 1 4 ,
20.42/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.43	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.43	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.43	
20.42/5.43	
20.42/5.43	The system was filtered by the following matrix interpretation
20.42/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.43	
20.42/5.43	1 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 1 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	4 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 1 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 1 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	0 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	5 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	3 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	2 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 1 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 27-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.43	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.43	  4 5 1 5 3 4 1 -> 4 4 5 4 3 4 3 5 5 1 ,
20.42/5.43	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.43	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.43	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.43	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.43	
20.42/5.43	
20.42/5.43	The system was filtered by the following matrix interpretation
20.42/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.43	
20.42/5.43	1 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 1 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	4 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	0 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	5 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 1 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	3 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 1 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	2 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 26-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.43	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.43	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.43	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.43	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.43	  5 1 0 3 1 ->= 5 4 4 1 1 1 5 4 1 1 ,
20.42/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.43	
20.42/5.43	
20.42/5.43	The system was filtered by the following matrix interpretation
20.42/5.43	of type E_J with J = {1,...,2} and dimension 6:
20.42/5.43	
20.42/5.43	1 is interpreted by
20.42/5.43	 /           \
20.42/5.43	| 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 |
20.42/5.43	 \           /
20.42/5.43	4 is interpreted by
20.42/5.43	 /           \
20.42/5.43	| 1 0 0 1 0 0 |
20.42/5.43	| 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	 \           /
20.42/5.43	0 is interpreted by
20.42/5.43	 /           \
20.42/5.43	| 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 1 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	 \           /
20.42/5.43	5 is interpreted by
20.42/5.43	 /           \
20.42/5.43	| 1 0 1 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	 \           /
20.42/5.43	3 is interpreted by
20.42/5.43	 /           \
20.42/5.43	| 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 |
20.42/5.43	| 0 0 1 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 1 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	 \           /
20.42/5.43	2 is interpreted by
20.42/5.43	 /           \
20.42/5.43	| 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 |
20.42/5.43	 \           /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 25-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.43	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.43	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.43	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.43	  5 1 5 1 2 0 4 -> 3 5 2 3 2 0 2 0 5 1 ,
20.42/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.43	
20.42/5.43	
20.42/5.43	The system was filtered by the following matrix interpretation
20.42/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.43	
20.42/5.43	1 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 1 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	4 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 1 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	0 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	5 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 1 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	3 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	2 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 1 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 24-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.43	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.43	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.43	  5 1 0 3 4 0 2 -> 0 3 0 4 3 5 0 2 2 3 ,
20.42/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.43	
20.42/5.43	
20.42/5.43	The system was filtered by the following matrix interpretation
20.42/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.43	
20.42/5.43	1 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	4 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 1 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	0 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 1 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	5 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	3 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 1 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 1 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	2 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 23-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.43	  3 1 0 5 5 1 5 -> 3 2 3 2 1 1 1 4 4 5 ,
20.42/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.43	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.43	
20.42/5.43	
20.42/5.43	The system was filtered by the following matrix interpretation
20.42/5.43	of type E_J with J = {1,...,2} and dimension 14:
20.42/5.43	
20.42/5.43	1 is interpreted by
20.42/5.43	 /                           \
20.42/5.43	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	 \                           /
20.42/5.43	4 is interpreted by
20.42/5.43	 /                           \
20.42/5.43	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	 \                           /
20.42/5.43	0 is interpreted by
20.42/5.43	 /                           \
20.42/5.43	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	 \                           /
20.42/5.43	5 is interpreted by
20.42/5.43	 /                           \
20.42/5.43	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	 \                           /
20.42/5.43	3 is interpreted by
20.42/5.43	 /                           \
20.42/5.43	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	 \                           /
20.42/5.43	2 is interpreted by
20.42/5.43	 /                           \
20.42/5.43	| 1 0 1 0 0 0 0 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.42/5.43	 \                           /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 22-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.42/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.42/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.42/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.42/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.42/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.42/5.43	  4 5 2 2 4 4 2 -> 4 5 4 2 1 4 1 1 1 1 ,
20.42/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.42/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.42/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.42/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.42/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.42/5.43	
20.42/5.43	
20.42/5.43	The system was filtered by the following matrix interpretation
20.42/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.42/5.43	
20.42/5.43	1 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	4 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 1 0 |
20.42/5.43	| 0 0 0 0 0 0 0 1 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	0 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	5 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 1 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	3 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	2 is interpreted by
20.42/5.43	 /               \
20.42/5.43	| 1 0 1 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 1 0 0 0 |
20.42/5.43	| 0 0 0 0 0 1 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 0 0 0 0 0 0 0 |
20.42/5.43	| 0 1 0 0 0 0 0 0 |
20.42/5.43	 \               /
20.42/5.43	
20.42/5.43	Remains to prove termination of the 21-rule system
20.42/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.42/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.42/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.42/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.42/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.42/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.42/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.42/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.42/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.42/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.42/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.44/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.44/5.43	  4 5 0 5 0 1 2 -> 5 4 5 2 1 4 1 0 4 1 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	4 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	0 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	5 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	3 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	2 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 20-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 0 0 1 5 0 1 -> 3 4 0 0 2 3 0 3 0 1 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.44/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.44/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	4 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	0 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	5 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	3 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	2 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 19-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 0 2 3 1 1 -> 1 3 0 2 2 2 2 5 1 1 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.44/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.44/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 7:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 1 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	4 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	0 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	5 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	3 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	2 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 1 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 18-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.44/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.44/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  4 0 1 1 5 2 5 -> 2 0 3 2 4 1 4 1 1 5 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	4 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	0 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	5 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	3 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	2 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 17-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  1 5 0 2 1 5 0 -> 3 2 5 3 0 2 3 0 2 0 ,
20.44/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.44/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	4 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	0 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	5 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	3 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	2 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 16-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  2 0 1 3 0 1 3 -> 2 2 3 4 1 4 1 4 1 3 ,
20.44/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	4 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	0 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	5 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	3 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	2 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 15-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  5 5 0 1 2 2 -> 5 4 4 3 3 2 4 4 1 3 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 7:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	4 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	0 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	5 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 1 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	3 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 1 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	2 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 14-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  2 4 5 0 5 4 2 -> 2 3 5 5 5 1 1 3 2 1 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	4 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	0 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	5 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	3 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	2 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 13-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  1 5 5 1 2 0 ->= 1 5 5 0 2 2 3 0 2 0 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 7:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 1 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	4 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	0 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	5 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	3 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	2 is interpreted by
20.44/5.43	 /             \
20.44/5.43	| 1 0 1 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 |
20.44/5.43	| 0 0 0 0 0 0 0 |
20.44/5.43	 \             /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 12-rule system
20.44/5.43	{ 1 4 0 5 3 -> 1 4 1 1 1 1 1 4 2 3 ,
20.44/5.43	  1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  0 1 0 2 1 5 2 -> 3 2 4 5 5 4 1 4 1 1 ,
20.44/5.43	  0 4 5 1 5 5 3 -> 5 3 4 5 4 5 4 5 4 3 ,
20.44/5.43	  0 5 0 5 0 5 3 -> 3 5 4 3 1 2 3 5 5 5 ,
20.44/5.43	  1 1 4 0 5 2 5 -> 4 1 3 4 4 5 5 4 4 5 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 ,
20.44/5.43	  5 1 2 2 0 5 3 -> 5 1 1 4 2 2 3 5 4 3 ,
20.44/5.43	  5 3 0 3 1 5 2 -> 5 2 2 3 2 2 3 5 5 2 ,
20.44/5.43	  0 2 4 5 2 5 3 ->= 3 2 3 3 5 5 1 2 3 3 ,
20.44/5.43	  4 0 2 4 2 1 3 ->= 2 5 2 2 3 5 5 2 1 3 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 2:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	4 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	0 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 1 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	5 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	3 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	2 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 3-rule system
20.44/5.43	{ 1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  3 1 2 1 0 5 3 -> 3 0 3 5 3 4 2 3 5 3 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	4 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	0 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	5 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	3 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	2 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 2-rule system
20.44/5.43	{ 1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 ,
20.44/5.43	  3 1 3 0 4 5 2 -> 3 5 5 2 1 2 0 1 1 1 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 8:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 1 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	4 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 1 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	0 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 1 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	5 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 1 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	3 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 1 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 1 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	2 is interpreted by
20.44/5.43	 /               \
20.44/5.43	| 1 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 0 0 0 0 0 0 0 |
20.44/5.43	| 0 1 0 0 0 0 0 0 |
20.44/5.43	 \               /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 1-rule system
20.44/5.43	{ 1 3 4 5 3 0 -> 1 3 3 2 4 4 1 1 3 0 }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system was filtered by the following matrix interpretation
20.44/5.43	of type E_J with J = {1,...,2} and dimension 2:
20.44/5.43	
20.44/5.43	1 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	4 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	0 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	5 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 1 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	3 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	2 is interpreted by
20.44/5.43	 /   \
20.44/5.43	| 1 0 |
20.44/5.43	| 0 1 |
20.44/5.43	 \   /
20.44/5.43	
20.44/5.43	Remains to prove termination of the 0-rule system
20.44/5.43	{ }
20.44/5.43	
20.44/5.43	
20.44/5.43	The system is trivially terminating.
20.44/5.48	EOF