12.10/3.35	YES
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 5:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 1 1 1 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	1 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	2 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	3 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	4 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 1 1 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 |
12.42/3.47	 \         /
12.42/3.47	5 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 1 1 1 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 43-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 0 -> 2 1 0 3 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 2 5 -> 5 1 0 3 2 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  2 1 1 5 -> 5 1 3 2 1 ,
12.42/3.47	  2 1 2 0 -> 2 2 1 0 3 ,
12.42/3.47	  2 3 5 5 -> 5 1 0 3 2 5 ,
12.42/3.47	  2 5 3 2 -> 5 1 3 2 2 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 2 5 -> 0 1 3 5 1 2 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 2 3 5 -> 0 1 3 4 5 2 ,
12.42/3.47	  0 1 2 3 5 -> 0 2 5 1 0 3 ,
12.42/3.47	  0 1 2 3 5 -> 1 0 3 0 2 5 ,
12.42/3.47	  0 1 2 3 5 -> 5 1 3 0 2 0 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  0 4 5 3 5 -> 5 1 0 3 4 5 ,
12.42/3.47	  2 1 0 1 5 -> 1 0 3 2 5 1 ,
12.42/3.47	  2 1 4 3 5 -> 1 3 5 4 4 2 ,
12.42/3.47	  2 1 4 3 5 -> 5 4 4 1 3 2 ,
12.42/3.47	  2 2 4 3 5 -> 5 1 3 4 2 2 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  2 3 1 1 2 -> 4 1 2 2 1 3 ,
12.42/3.47	  2 3 2 0 5 -> 2 2 1 0 3 5 ,
12.42/3.47	  2 3 3 1 5 -> 1 3 5 1 3 2 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 ,
12.42/3.47	  5 0 1 2 2 -> 4 1 5 2 0 2 ,
12.42/3.47	  5 1 4 2 2 -> 5 1 3 2 4 2 ,
12.42/3.47	  5 1 4 3 2 -> 4 5 1 3 4 2 ,
12.42/3.47	  5 5 4 3 2 -> 5 1 3 4 5 2 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	1 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	2 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	3 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	4 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	5 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 1 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 42-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 0 -> 2 1 0 3 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 2 5 -> 5 1 0 3 2 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  2 1 1 5 -> 5 1 3 2 1 ,
12.42/3.47	  2 1 2 0 -> 2 2 1 0 3 ,
12.42/3.47	  2 3 5 5 -> 5 1 0 3 2 5 ,
12.42/3.47	  2 5 3 2 -> 5 1 3 2 2 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 2 5 -> 0 1 3 5 1 2 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 2 3 5 -> 0 1 3 4 5 2 ,
12.42/3.47	  0 1 2 3 5 -> 0 2 5 1 0 3 ,
12.42/3.47	  0 1 2 3 5 -> 1 0 3 0 2 5 ,
12.42/3.47	  0 1 2 3 5 -> 5 1 3 0 2 0 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  0 4 5 3 5 -> 5 1 0 3 4 5 ,
12.42/3.47	  2 1 0 1 5 -> 1 0 3 2 5 1 ,
12.42/3.47	  2 1 4 3 5 -> 1 3 5 4 4 2 ,
12.42/3.47	  2 1 4 3 5 -> 5 4 4 1 3 2 ,
12.42/3.47	  2 2 4 3 5 -> 5 1 3 4 2 2 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  2 3 1 1 2 -> 4 1 2 2 1 3 ,
12.42/3.47	  2 3 2 0 5 -> 2 2 1 0 3 5 ,
12.42/3.47	  2 3 3 1 5 -> 1 3 5 1 3 2 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 ,
12.42/3.47	  5 0 1 2 2 -> 4 1 5 2 0 2 ,
12.42/3.47	  5 1 4 2 2 -> 5 1 3 2 4 2 ,
12.42/3.47	  5 1 4 3 2 -> 4 5 1 3 4 2 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	1 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	2 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	3 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	4 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 1 1 0 0 |
12.42/3.47	| 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	5 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 1 1 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 41-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 0 -> 2 1 0 3 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 2 5 -> 5 1 0 3 2 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  2 1 1 5 -> 5 1 3 2 1 ,
12.42/3.47	  2 1 2 0 -> 2 2 1 0 3 ,
12.42/3.47	  2 3 5 5 -> 5 1 0 3 2 5 ,
12.42/3.47	  2 5 3 2 -> 5 1 3 2 2 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 2 5 -> 0 1 3 5 1 2 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 2 3 5 -> 0 1 3 4 5 2 ,
12.42/3.47	  0 1 2 3 5 -> 0 2 5 1 0 3 ,
12.42/3.47	  0 1 2 3 5 -> 1 0 3 0 2 5 ,
12.42/3.47	  0 1 2 3 5 -> 5 1 3 0 2 0 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  0 4 5 3 5 -> 5 1 0 3 4 5 ,
12.42/3.47	  2 1 0 1 5 -> 1 0 3 2 5 1 ,
12.42/3.47	  2 1 4 3 5 -> 1 3 5 4 4 2 ,
12.42/3.47	  2 1 4 3 5 -> 5 4 4 1 3 2 ,
12.42/3.47	  2 2 4 3 5 -> 5 1 3 4 2 2 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  2 3 1 1 2 -> 4 1 2 2 1 3 ,
12.42/3.47	  2 3 2 0 5 -> 2 2 1 0 3 5 ,
12.42/3.47	  2 3 3 1 5 -> 1 3 5 1 3 2 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 ,
12.42/3.47	  5 0 1 2 2 -> 4 1 5 2 0 2 ,
12.42/3.47	  5 1 4 2 2 -> 5 1 3 2 4 2 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 5:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	1 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	2 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 1 1 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	3 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 1 0 1 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	4 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 1 0 0 |
12.42/3.47	| 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 1 |
12.42/3.47	 \         /
12.42/3.47	5 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 1 1 1 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 29-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 0 -> 2 1 0 3 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 2 5 -> 5 1 0 3 2 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  2 1 1 5 -> 5 1 3 2 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 2 5 -> 0 1 3 5 1 2 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  2 1 0 1 5 -> 1 0 3 2 5 1 ,
12.42/3.47	  2 1 4 3 5 -> 1 3 5 4 4 2 ,
12.42/3.47	  2 1 4 3 5 -> 5 4 4 1 3 2 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 ,
12.42/3.47	  5 0 1 2 2 -> 4 1 5 2 0 2 ,
12.42/3.47	  5 1 4 2 2 -> 5 1 3 2 4 2 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 5:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 1 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	1 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 1 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	2 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 1 0 1 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	3 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	4 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	5 is interpreted by
12.42/3.47	 /         \
12.42/3.47	| 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 |
12.42/3.47	| 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 |
12.42/3.47	 \         /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 28-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 2 5 -> 5 1 0 3 2 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  2 1 1 5 -> 5 1 3 2 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 2 5 -> 0 1 3 5 1 2 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  2 1 0 1 5 -> 1 0 3 2 5 1 ,
12.42/3.47	  2 1 4 3 5 -> 1 3 5 4 4 2 ,
12.42/3.47	  2 1 4 3 5 -> 5 4 4 1 3 2 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 ,
12.42/3.47	  5 0 1 2 2 -> 4 1 5 2 0 2 ,
12.42/3.47	  5 1 4 2 2 -> 5 1 3 2 4 2 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	1 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	2 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 1 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	3 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	4 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 1 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	5 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 1 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 27-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 2 5 -> 5 1 0 3 2 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  2 1 1 5 -> 5 1 3 2 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 2 5 -> 0 1 3 5 1 2 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  2 1 0 1 5 -> 1 0 3 2 5 1 ,
12.42/3.47	  2 1 4 3 5 -> 1 3 5 4 4 2 ,
12.42/3.47	  2 1 4 3 5 -> 5 4 4 1 3 2 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 ,
12.42/3.47	  5 1 4 2 2 -> 5 1 3 2 4 2 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	1 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	2 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 1 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	3 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	4 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 1 1 0 0 |
12.42/3.47	| 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 1 |
12.42/3.47	 \           /
12.42/3.47	5 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 1 1 0 1 |
12.42/3.47	| 0 2 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 22-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  2 1 0 1 5 -> 1 0 3 2 5 1 ,
12.42/3.47	  2 1 4 3 5 -> 1 3 5 4 4 2 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	1 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	2 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 1 1 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	3 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	4 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	5 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 1 1 0 0 |
12.42/3.47	 \           /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 21-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  2 1 0 1 5 -> 1 0 3 2 5 1 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 10:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /                   \
12.42/3.47	| 1 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	 \                   /
12.42/3.47	1 is interpreted by
12.42/3.47	 /                   \
12.42/3.47	| 1 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	 \                   /
12.42/3.47	2 is interpreted by
12.42/3.47	 /                   \
12.42/3.47	| 1 0 1 1 0 0 1 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 0 0 0 0 0 |
12.42/3.47	 \                   /
12.42/3.47	3 is interpreted by
12.42/3.47	 /                   \
12.42/3.47	| 1 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	 \                   /
12.42/3.47	4 is interpreted by
12.42/3.47	 /                   \
12.42/3.47	| 1 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	 \                   /
12.42/3.47	5 is interpreted by
12.42/3.47	 /                   \
12.42/3.47	| 1 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 0 |
12.42/3.47	 \                   /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 20-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 2 5 -> 2 1 0 3 5 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 8:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /               \
12.42/3.47	| 1 0 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	 \               /
12.42/3.47	1 is interpreted by
12.42/3.47	 /               \
12.42/3.47	| 1 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	 \               /
12.42/3.47	2 is interpreted by
12.42/3.47	 /               \
12.42/3.47	| 1 0 1 1 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 1 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	 \               /
12.42/3.47	3 is interpreted by
12.42/3.47	 /               \
12.42/3.47	| 1 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	 \               /
12.42/3.47	4 is interpreted by
12.42/3.47	 /               \
12.42/3.47	| 1 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	 \               /
12.42/3.47	5 is interpreted by
12.42/3.47	 /               \
12.42/3.47	| 1 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 |
12.42/3.47	 \               /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 19-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  2 3 1 1 2 -> 1 3 2 1 2 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	1 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	2 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 1 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	3 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	4 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	5 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 18-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 1 5 4 -> 1 4 1 0 3 5 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 1 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	1 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 |
12.42/3.47	| 0 0 0 0 1 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	2 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 1 1 1 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	3 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	4 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	5 is interpreted by
12.42/3.47	 /           \
12.42/3.47	| 1 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 1 |
12.42/3.47	| 0 0 0 0 0 0 |
12.42/3.47	 \           /
12.42/3.47	
12.42/3.47	Remains to prove termination of the 17-rule system
12.42/3.47	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.47	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.47	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.47	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.47	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.47	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.47	  2 1 1 5 -> 2 5 1 4 1 ,
12.42/3.47	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.47	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.47	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.47	  4 2 0 1 2 -> 4 2 2 1 3 0 }
12.42/3.47	
12.42/3.47	
12.42/3.47	The system was filtered by the following matrix interpretation
12.42/3.47	of type E_J with J = {1,...,2} and dimension 9:
12.42/3.47	
12.42/3.47	0 is interpreted by
12.42/3.47	 /                 \
12.42/3.47	| 1 0 0 0 0 1 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 |
12.42/3.47	 \                 /
12.42/3.47	1 is interpreted by
12.42/3.47	 /                 \
12.42/3.47	| 1 0 0 0 0 0 0 0 0 |
12.42/3.47	| 0 1 0 0 0 0 0 0 0 |
12.42/3.47	| 0 0 0 1 0 0 0 0 0 |
12.42/3.47	| 0 0 0 0 1 0 0 0 0 |
12.42/3.47	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 1 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 1 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	 \                 /
12.42/3.48	2 is interpreted by
12.42/3.48	 /                 \
12.42/3.48	| 1 0 1 0 0 1 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 1 0 0 1 0 0 |
12.42/3.48	 \                 /
12.42/3.48	3 is interpreted by
12.42/3.48	 /                 \
12.42/3.48	| 1 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	 \                 /
12.42/3.48	4 is interpreted by
12.42/3.48	 /                 \
12.42/3.48	| 1 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 1 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	 \                 /
12.42/3.48	5 is interpreted by
12.42/3.48	 /                 \
12.42/3.48	| 1 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 0 0 0 |
12.42/3.48	 \                 /
12.42/3.48	
12.42/3.48	Remains to prove termination of the 16-rule system
12.42/3.48	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.48	  0 1 2 -> 2 1 3 0 ,
12.42/3.48	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.48	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.48	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.48	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.48	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.48	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.48	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.48	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.48	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.48	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.48	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.48	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.48	  0 1 4 0 2 -> 4 0 2 1 3 0 ,
12.42/3.48	  4 2 0 1 2 -> 4 2 2 1 3 0 }
12.42/3.48	
12.42/3.48	
12.42/3.48	The system was filtered by the following matrix interpretation
12.42/3.48	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.48	
12.42/3.48	0 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 1 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	1 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 1 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	2 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 1 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 1 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	3 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	4 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 1 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	5 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	
12.42/3.48	Remains to prove termination of the 15-rule system
12.42/3.48	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.48	  0 1 2 -> 2 1 3 0 ,
12.42/3.48	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.48	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.48	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.48	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.48	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.48	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.48	  0 1 4 2 -> 2 1 3 4 0 ,
12.42/3.48	  0 1 4 2 -> 2 4 1 0 3 ,
12.42/3.48	  0 1 4 2 -> 0 2 1 0 3 4 ,
12.42/3.48	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.48	  0 1 1 4 2 -> 4 1 0 3 2 1 ,
12.42/3.48	  0 1 4 0 2 -> 4 0 1 3 0 2 ,
12.42/3.48	  0 1 4 0 2 -> 4 0 2 1 3 0 }
12.42/3.48	
12.42/3.48	
12.42/3.48	The system was filtered by the following matrix interpretation
12.42/3.48	of type E_J with J = {1,...,2} and dimension 5:
12.42/3.48	
12.42/3.48	0 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 1 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 1 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	1 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 1 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	2 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 1 1 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	3 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	4 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 1 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	5 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	
12.42/3.48	Remains to prove termination of the 10-rule system
12.42/3.48	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.48	  0 1 2 -> 2 1 3 0 ,
12.42/3.48	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.48	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.48	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.48	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.48	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.48	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.48	  0 1 0 1 2 -> 0 2 1 1 3 0 ,
12.42/3.48	  0 1 1 4 2 -> 4 1 0 3 2 1 }
12.42/3.48	
12.42/3.48	
12.42/3.48	The system was filtered by the following matrix interpretation
12.42/3.48	of type E_J with J = {1,...,2} and dimension 6:
12.42/3.48	
12.42/3.48	0 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 1 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	1 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 1 0 0 |
12.42/3.48	| 0 0 0 0 1 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	2 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	3 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	4 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 1 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	5 is interpreted by
12.42/3.48	 /           \
12.42/3.48	| 1 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 0 |
12.42/3.48	 \           /
12.42/3.48	
12.42/3.48	Remains to prove termination of the 9-rule system
12.42/3.48	{ 0 1 2 -> 2 1 0 3 ,
12.42/3.48	  0 1 2 -> 2 1 3 0 ,
12.42/3.48	  0 1 2 -> 2 1 3 0 4 ,
12.42/3.48	  0 1 2 -> 2 1 3 4 0 ,
12.42/3.48	  0 1 2 -> 2 1 3 4 0 4 ,
12.42/3.48	  0 0 1 2 -> 0 2 1 0 3 ,
12.42/3.48	  0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.48	  0 1 1 2 -> 1 2 1 0 3 ,
12.42/3.48	  0 1 0 1 2 -> 0 2 1 1 3 0 }
12.42/3.48	
12.42/3.48	
12.42/3.48	The system was filtered by the following matrix interpretation
12.42/3.48	of type E_J with J = {1,...,2} and dimension 4:
12.42/3.48	
12.42/3.48	0 is interpreted by
12.42/3.48	 /       \
12.42/3.48	| 1 0 1 0 |
12.42/3.48	| 0 1 0 0 |
12.42/3.48	| 0 1 0 0 |
12.42/3.48	| 0 0 1 0 |
12.42/3.48	 \       /
12.42/3.48	1 is interpreted by
12.42/3.48	 /       \
12.42/3.48	| 1 0 0 0 |
12.42/3.48	| 0 1 0 0 |
12.42/3.48	| 0 0 0 1 |
12.42/3.48	| 0 0 0 0 |
12.42/3.48	 \       /
12.42/3.48	2 is interpreted by
12.42/3.48	 /       \
12.42/3.48	| 1 0 1 0 |
12.42/3.48	| 0 1 0 0 |
12.42/3.48	| 0 0 0 0 |
12.42/3.48	| 0 1 0 0 |
12.42/3.48	 \       /
12.42/3.48	3 is interpreted by
12.42/3.48	 /       \
12.42/3.48	| 1 0 0 0 |
12.42/3.48	| 0 1 0 0 |
12.42/3.48	| 0 0 0 0 |
12.42/3.48	| 0 0 0 0 |
12.42/3.48	 \       /
12.42/3.48	4 is interpreted by
12.42/3.48	 /       \
12.42/3.48	| 1 0 0 0 |
12.42/3.48	| 0 1 0 0 |
12.42/3.48	| 0 0 0 0 |
12.42/3.48	| 0 0 0 0 |
12.42/3.48	 \       /
12.42/3.48	5 is interpreted by
12.42/3.48	 /       \
12.42/3.48	| 1 0 0 0 |
12.42/3.48	| 0 1 0 0 |
12.42/3.48	| 0 0 0 0 |
12.42/3.48	| 0 0 0 0 |
12.42/3.48	 \       /
12.42/3.48	
12.42/3.48	Remains to prove termination of the 2-rule system
12.42/3.48	{ 0 1 1 2 -> 1 0 4 1 2 ,
12.42/3.48	  0 1 1 2 -> 1 2 1 0 3 }
12.42/3.48	
12.42/3.48	
12.42/3.48	The system was filtered by the following matrix interpretation
12.42/3.48	of type E_J with J = {1,...,2} and dimension 5:
12.42/3.48	
12.42/3.48	0 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 1 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 1 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	1 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 1 0 |
12.42/3.48	| 0 0 0 0 1 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	2 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	3 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	4 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	5 is interpreted by
12.42/3.48	 /         \
12.42/3.48	| 1 0 0 0 0 |
12.42/3.48	| 0 1 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	| 0 0 0 0 0 |
12.42/3.48	 \         /
12.42/3.48	
12.42/3.48	Remains to prove termination of the 0-rule system
12.42/3.48	{ }
12.42/3.48	
12.42/3.48	
12.42/3.48	The system is trivially terminating.
12.62/3.52	EOF