12.36/3.41	YES
12.94/3.57	
12.94/3.57	
12.94/3.57	
12.94/3.57	
12.94/3.57	The system was filtered by the following matrix interpretation
12.94/3.57	of type E_J with J = {1,...,2} and dimension 2:
12.94/3.57	
12.94/3.57	0 is interpreted by
12.94/3.57	 /   \
12.94/3.57	| 1 1 |
12.94/3.57	| 0 1 |
12.94/3.57	 \   /
12.94/3.57	1 is interpreted by
12.94/3.57	 /   \
12.94/3.57	| 1 1 |
12.94/3.57	| 0 1 |
12.94/3.57	 \   /
12.94/3.57	2 is interpreted by
12.94/3.57	 /   \
12.94/3.57	| 1 1 |
12.94/3.57	| 0 1 |
12.94/3.57	 \   /
12.94/3.57	3 is interpreted by
12.94/3.57	 /   \
12.94/3.57	| 1 1 |
12.94/3.57	| 0 1 |
12.94/3.57	 \   /
12.94/3.57	4 is interpreted by
12.94/3.57	 /   \
12.94/3.57	| 1 1 |
12.94/3.57	| 0 1 |
12.94/3.57	 \   /
12.94/3.57	5 is interpreted by
12.94/3.57	 /   \
12.94/3.57	| 1 1 |
12.94/3.57	| 0 1 |
12.94/3.57	 \   /
12.94/3.57	
12.94/3.57	Remains to prove termination of the 15-rule system
12.94/3.57	{ 3 5 1 1 2 1 -> 3 3 3 1 3 1 ,
12.94/3.57	  0 4 3 0 1 1 1 4 1 0 -> 2 5 0 2 2 1 0 5 1 3 ,
12.94/3.57	  0 4 5 2 1 5 3 0 1 1 -> 5 3 0 2 3 0 5 0 0 0 ,
12.94/3.57	  3 3 1 4 2 0 3 5 0 0 -> 0 1 1 2 5 3 1 2 2 2 ,
12.94/3.57	  4 5 2 2 1 5 2 4 5 0 -> 4 2 5 4 1 4 5 5 5 0 ,
12.94/3.57	  0 1 1 3 4 4 0 4 1 5 5 -> 0 2 4 4 5 5 5 3 2 4 0 ,
12.94/3.57	  2 1 1 3 5 5 4 1 0 4 4 1 -> 2 5 5 3 4 2 0 4 0 1 2 0 ,
12.94/3.57	  4 4 5 1 1 1 3 2 5 5 4 1 -> 4 2 1 0 2 0 0 0 4 3 3 1 ,
12.94/3.57	  4 5 2 1 0 5 2 0 2 5 0 4 -> 3 0 0 5 3 2 0 0 2 0 0 4 ,
12.94/3.57	  5 2 2 4 2 5 1 4 5 4 0 4 -> 2 4 5 5 5 4 3 2 5 3 1 4 ,
12.94/3.57	  2 4 1 3 4 1 0 0 3 2 4 4 1 2 -> 3 4 5 1 4 4 4 5 4 5 1 4 3 1 ,
12.94/3.57	  1 4 4 3 4 5 3 5 1 2 5 0 4 4 4 0 4 -> 1 2 3 3 1 0 1 1 1 0 3 3 3 3 5 3 4 ,
12.94/3.57	  4 0 4 3 3 5 2 1 3 5 5 3 2 4 5 1 0 -> 4 4 5 5 4 2 2 0 2 1 5 2 1 5 4 5 0 ,
12.94/3.57	  1 1 1 3 0 3 5 0 5 1 1 4 2 2 0 3 2 3 3 -> 3 5 2 2 4 4 1 2 4 3 0 5 5 0 0 1 2 2 3 ,
12.94/3.57	  1 0 0 3 2 0 4 5 1 1 2 5 0 1 0 2 1 4 3 2 -> 3 1 1 4 4 5 4 3 1 0 3 0 4 0 1 0 2 2 2 1 }
12.94/3.57	
12.94/3.57	
12.94/3.57	The system was filtered by the following matrix interpretation
12.94/3.57	of type E_J with J = {1,...,2} and dimension 13:
12.94/3.57	
12.94/3.57	0 is interpreted by
12.94/3.57	 /                         \
12.94/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	 \                         /
12.94/3.57	1 is interpreted by
12.94/3.57	 /                         \
12.94/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	 \                         /
12.94/3.57	2 is interpreted by
12.94/3.57	 /                         \
12.94/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	 \                         /
12.94/3.57	3 is interpreted by
12.94/3.57	 /                         \
12.94/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	 \                         /
12.94/3.57	4 is interpreted by
12.94/3.57	 /                         \
12.94/3.57	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	 \                         /
12.94/3.57	5 is interpreted by
12.94/3.57	 /                         \
12.94/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
12.94/3.57	 \                         /
12.94/3.57	
12.94/3.57	Remains to prove termination of the 14-rule system
12.94/3.57	{ 3 5 1 1 2 1 -> 3 3 3 1 3 1 ,
12.94/3.57	  0 4 3 0 1 1 1 4 1 0 -> 2 5 0 2 2 1 0 5 1 3 ,
12.94/3.57	  0 4 5 2 1 5 3 0 1 1 -> 5 3 0 2 3 0 5 0 0 0 ,
12.94/3.57	  3 3 1 4 2 0 3 5 0 0 -> 0 1 1 2 5 3 1 2 2 2 ,
12.94/3.57	  4 5 2 2 1 5 2 4 5 0 -> 4 2 5 4 1 4 5 5 5 0 ,
12.94/3.57	  0 1 1 3 4 4 0 4 1 5 5 -> 0 2 4 4 5 5 5 3 2 4 0 ,
12.94/3.57	  2 1 1 3 5 5 4 1 0 4 4 1 -> 2 5 5 3 4 2 0 4 0 1 2 0 ,
12.94/3.57	  4 5 2 1 0 5 2 0 2 5 0 4 -> 3 0 0 5 3 2 0 0 2 0 0 4 ,
12.94/3.57	  5 2 2 4 2 5 1 4 5 4 0 4 -> 2 4 5 5 5 4 3 2 5 3 1 4 ,
12.94/3.57	  2 4 1 3 4 1 0 0 3 2 4 4 1 2 -> 3 4 5 1 4 4 4 5 4 5 1 4 3 1 ,
12.94/3.57	  1 4 4 3 4 5 3 5 1 2 5 0 4 4 4 0 4 -> 1 2 3 3 1 0 1 1 1 0 3 3 3 3 5 3 4 ,
12.94/3.57	  4 0 4 3 3 5 2 1 3 5 5 3 2 4 5 1 0 -> 4 4 5 5 4 2 2 0 2 1 5 2 1 5 4 5 0 ,
12.94/3.57	  1 1 1 3 0 3 5 0 5 1 1 4 2 2 0 3 2 3 3 -> 3 5 2 2 4 4 1 2 4 3 0 5 5 0 0 1 2 2 3 ,
12.94/3.57	  1 0 0 3 2 0 4 5 1 1 2 5 0 1 0 2 1 4 3 2 -> 3 1 1 4 4 5 4 3 1 0 3 0 4 0 1 0 2 2 2 1 }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 13:
13.23/3.57	
13.23/3.57	0 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	1 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	2 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	3 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	4 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	5 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 13-rule system
13.23/3.57	{ 3 5 1 1 2 1 -> 3 3 3 1 3 1 ,
13.23/3.57	  0 4 3 0 1 1 1 4 1 0 -> 2 5 0 2 2 1 0 5 1 3 ,
13.23/3.57	  0 4 5 2 1 5 3 0 1 1 -> 5 3 0 2 3 0 5 0 0 0 ,
13.23/3.57	  3 3 1 4 2 0 3 5 0 0 -> 0 1 1 2 5 3 1 2 2 2 ,
13.23/3.57	  4 5 2 2 1 5 2 4 5 0 -> 4 2 5 4 1 4 5 5 5 0 ,
13.23/3.57	  0 1 1 3 4 4 0 4 1 5 5 -> 0 2 4 4 5 5 5 3 2 4 0 ,
13.23/3.57	  2 1 1 3 5 5 4 1 0 4 4 1 -> 2 5 5 3 4 2 0 4 0 1 2 0 ,
13.23/3.57	  5 2 2 4 2 5 1 4 5 4 0 4 -> 2 4 5 5 5 4 3 2 5 3 1 4 ,
13.23/3.57	  2 4 1 3 4 1 0 0 3 2 4 4 1 2 -> 3 4 5 1 4 4 4 5 4 5 1 4 3 1 ,
13.23/3.57	  1 4 4 3 4 5 3 5 1 2 5 0 4 4 4 0 4 -> 1 2 3 3 1 0 1 1 1 0 3 3 3 3 5 3 4 ,
13.23/3.57	  4 0 4 3 3 5 2 1 3 5 5 3 2 4 5 1 0 -> 4 4 5 5 4 2 2 0 2 1 5 2 1 5 4 5 0 ,
13.23/3.57	  1 1 1 3 0 3 5 0 5 1 1 4 2 2 0 3 2 3 3 -> 3 5 2 2 4 4 1 2 4 3 0 5 5 0 0 1 2 2 3 ,
13.23/3.57	  1 0 0 3 2 0 4 5 1 1 2 5 0 1 0 2 1 4 3 2 -> 3 1 1 4 4 5 4 3 1 0 3 0 4 0 1 0 2 2 2 1 }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 13:
13.23/3.57	
13.23/3.57	0 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	1 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	2 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	3 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	4 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	5 is interpreted by
13.23/3.57	 /                         \
13.23/3.57	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                         /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 12-rule system
13.23/3.57	{ 3 5 1 1 2 1 -> 3 3 3 1 3 1 ,
13.23/3.57	  0 4 3 0 1 1 1 4 1 0 -> 2 5 0 2 2 1 0 5 1 3 ,
13.23/3.57	  0 4 5 2 1 5 3 0 1 1 -> 5 3 0 2 3 0 5 0 0 0 ,
13.23/3.57	  3 3 1 4 2 0 3 5 0 0 -> 0 1 1 2 5 3 1 2 2 2 ,
13.23/3.57	  4 5 2 2 1 5 2 4 5 0 -> 4 2 5 4 1 4 5 5 5 0 ,
13.23/3.57	  0 1 1 3 4 4 0 4 1 5 5 -> 0 2 4 4 5 5 5 3 2 4 0 ,
13.23/3.57	  2 1 1 3 5 5 4 1 0 4 4 1 -> 2 5 5 3 4 2 0 4 0 1 2 0 ,
13.23/3.57	  2 4 1 3 4 1 0 0 3 2 4 4 1 2 -> 3 4 5 1 4 4 4 5 4 5 1 4 3 1 ,
13.23/3.57	  1 4 4 3 4 5 3 5 1 2 5 0 4 4 4 0 4 -> 1 2 3 3 1 0 1 1 1 0 3 3 3 3 5 3 4 ,
13.23/3.57	  4 0 4 3 3 5 2 1 3 5 5 3 2 4 5 1 0 -> 4 4 5 5 4 2 2 0 2 1 5 2 1 5 4 5 0 ,
13.23/3.57	  1 1 1 3 0 3 5 0 5 1 1 4 2 2 0 3 2 3 3 -> 3 5 2 2 4 4 1 2 4 3 0 5 5 0 0 1 2 2 3 ,
13.23/3.57	  1 0 0 3 2 0 4 5 1 1 2 5 0 1 0 2 1 4 3 2 -> 3 1 1 4 4 5 4 3 1 0 3 0 4 0 1 0 2 2 2 1 }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was reversed.
13.23/3.57	
13.23/3.57	Remains to prove termination of the 12-rule system
13.23/3.57	{ 1 2 1 1 5 3 -> 1 3 1 3 3 3 ,
13.23/3.57	  0 1 4 1 1 1 0 3 4 0 -> 3 1 5 0 1 2 2 0 5 2 ,
13.23/3.57	  1 1 0 3 5 1 2 5 4 0 -> 0 0 0 5 0 3 2 0 3 5 ,
13.23/3.57	  0 0 5 3 0 2 4 1 3 3 -> 2 2 2 1 3 5 2 1 1 0 ,
13.23/3.57	  0 5 4 2 5 1 2 2 5 4 -> 0 5 5 5 4 1 4 5 2 4 ,
13.23/3.57	  5 5 1 4 0 4 4 3 1 1 0 -> 0 4 2 3 5 5 5 4 4 2 0 ,
13.23/3.57	  1 4 4 0 1 4 5 5 3 1 1 2 -> 0 2 1 0 4 0 2 4 3 5 5 2 ,
13.23/3.57	  2 1 4 4 2 3 0 0 1 4 3 1 4 2 -> 1 3 4 1 5 4 5 4 4 4 1 5 4 3 ,
13.23/3.57	  4 0 4 4 4 0 5 2 1 5 3 5 4 3 4 4 1 -> 4 3 5 3 3 3 3 0 1 1 1 0 1 3 3 2 1 ,
13.23/3.57	  0 1 5 4 2 3 5 5 3 1 2 5 3 3 4 0 4 -> 0 5 4 5 1 2 5 1 2 0 2 2 4 5 5 4 4 ,
13.23/3.57	  3 3 2 3 0 2 2 4 1 1 5 0 5 3 0 3 1 1 1 -> 3 2 2 1 0 0 5 5 0 3 4 2 1 4 4 2 2 5 3 ,
13.23/3.57	  2 3 4 1 2 0 1 0 5 2 1 1 5 4 0 2 3 0 0 1 -> 1 2 2 2 0 1 0 4 0 3 0 1 3 4 5 4 4 1 1 3 }
13.23/3.57	
13.23/3.57	
13.23/3.57	The dependency pairs transformation was applied.
13.23/3.57	
13.23/3.57	Remains to prove termination of the 168-rule system
13.23/3.57	{ (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (1,true) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (3,true) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (1,true) (3,false) (3,false) (3,false) ,
13.23/3.57	  (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (3,true) (3,false) (3,false) ,
13.23/3.57	  (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (3,true) (3,false) ,
13.23/3.57	  (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (3,true) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (3,true) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (1,true) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (5,true) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (0,true) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (1,true) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (2,true) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (2,true) (0,false) (5,false) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (0,true) (5,false) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (5,true) (2,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (2,true) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (5,true) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (3,true) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (2,true) (0,false) (3,false) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (3,false) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (3,true) (5,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (5,true) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (1,true) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (3,true) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (5,true) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (1,true) (1,false) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (1,true) (0,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (0,true) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (0,true) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (5,true) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (5,true) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (5,true) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (4,true) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (1,true) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (4,true) (5,false) (2,false) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (5,true) (2,false) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (2,true) (4,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (4,true) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (0,true) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (4,true) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (2,true) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (3,true) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (5,true) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (5,true) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (5,true) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (4,true) (4,false) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (4,true) (2,false) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (2,true) (0,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (0,true) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (2,true) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (1,true) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (4,true) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (2,true) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (4,true) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (3,true) (5,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (5,true) (5,false) (2,false) ,
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13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (0,true) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (0,true) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (5,true) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (5,true) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (0,true) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (3,true) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (4,true) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (2,true) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (1,true) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (4,true) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (4,true) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (2,true) (2,false) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (2,true) (5,false) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (5,true) (3,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (3,true) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (2,true) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (2,true) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (2,true) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (0,true) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (0,true) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (4,true) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (0,true) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (3,true) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (0,true) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (3,true) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (4,true) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (5,true) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (4,true) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (4,true) (1,false) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (1,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (3,true) ,
13.23/3.57	  (1,false) (2,false) (1,false) (1,false) (5,false) (3,false) ->= (1,false) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,false) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) ->= (3,false) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,false) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) ->= (0,false) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,false) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) ->= (2,false) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,false) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) ->= (0,false) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (5,false) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) ->= (0,false) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (1,false) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) ->= (0,false) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,false) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) ->= (1,false) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,false) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) ->= (4,false) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,false) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) ->= (0,false) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,false) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) ->= (3,false) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,false) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) ->= (1,false) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) }
13.23/3.57	
13.23/3.57	
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 2:
13.23/3.57	
13.23/3.57	(1,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(2,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(1,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(5,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(3,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(3,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(0,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(4,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(0,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(5,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(2,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(4,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 24-rule system
13.23/3.57	{ (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (1,true) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (3,true) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (0,true) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (5,true) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) -> (0,true) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,true) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) -> (1,true) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,true) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) -> (4,true) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,true) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) -> (0,true) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (3,true) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (1,false) (2,false) (1,false) (1,false) (5,false) (3,false) ->= (1,false) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,false) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) ->= (3,false) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,false) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) ->= (0,false) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,false) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) ->= (2,false) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,false) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) ->= (0,false) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (5,false) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) ->= (0,false) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (1,false) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) ->= (0,false) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,false) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) ->= (1,false) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,false) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) ->= (4,false) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,false) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) ->= (0,false) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,false) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) ->= (3,false) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,false) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) ->= (1,false) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 2:
13.23/3.57	
13.23/3.57	(1,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(2,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(1,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(5,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(3,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(3,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(0,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(4,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(0,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(5,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(2,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(4,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 23-rule system
13.23/3.57	{ (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (1,true) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,true) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) -> (3,true) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (0,true) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,true) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) -> (1,true) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,true) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) -> (4,true) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,true) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) -> (0,true) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (3,true) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (1,false) (2,false) (1,false) (1,false) (5,false) (3,false) ->= (1,false) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,false) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) ->= (3,false) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,false) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) ->= (0,false) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,false) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) ->= (2,false) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,false) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) ->= (0,false) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (5,false) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) ->= (0,false) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (1,false) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) ->= (0,false) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,false) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) ->= (1,false) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,false) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) ->= (4,false) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,false) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) ->= (0,false) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,false) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) ->= (3,false) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,false) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) ->= (1,false) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 2:
13.23/3.57	
13.23/3.57	(1,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(2,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(1,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(5,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(3,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(3,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(0,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(4,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(0,false) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(2,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 1 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(4,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 22-rule system
13.23/3.57	{ (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (1,true) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,true) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) -> (0,true) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,true) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) -> (1,true) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,true) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) -> (4,true) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,true) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) -> (0,true) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (3,true) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (1,false) (2,false) (1,false) (1,false) (5,false) (3,false) ->= (1,false) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,false) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) ->= (3,false) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,false) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) ->= (0,false) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,false) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) ->= (2,false) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,false) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) ->= (0,false) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (5,false) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) ->= (0,false) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (1,false) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) ->= (0,false) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,false) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) ->= (1,false) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,false) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) ->= (4,false) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,false) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) ->= (0,false) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,false) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) ->= (3,false) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,false) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) ->= (1,false) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 11:
13.23/3.57	
13.23/3.57	(1,true) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(2,false) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 1 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 1 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 1 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(1,false) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 1 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(5,false) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 1 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 1 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 1 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(3,false) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(3,true) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(0,true) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 1 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(4,false) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 1 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(0,false) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(5,true) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(2,true) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	(4,true) is interpreted by
13.23/3.57	 /                     \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                     /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 21-rule system
13.23/3.57	{ (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (1,true) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,true) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) -> (1,true) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,true) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) -> (4,true) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,true) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) -> (0,true) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (3,true) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (1,false) (2,false) (1,false) (1,false) (5,false) (3,false) ->= (1,false) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,false) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) ->= (3,false) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,false) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) ->= (0,false) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,false) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) ->= (2,false) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,false) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) ->= (0,false) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (5,false) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) ->= (0,false) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (1,false) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) ->= (0,false) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,false) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) ->= (1,false) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,false) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) ->= (4,false) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,false) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) ->= (0,false) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,false) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) ->= (3,false) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,false) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) ->= (1,false) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 18:
13.23/3.57	
13.23/3.57	(1,true) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(2,false) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(1,false) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(5,false) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(3,false) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(3,true) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(0,true) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(4,false) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(0,false) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(5,true) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(2,true) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	(4,true) is interpreted by
13.23/3.57	 /                                   \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                   /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 20-rule system
13.23/3.57	{ (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (1,true) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,true) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) -> (1,true) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,true) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) -> (4,true) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (3,true) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (1,false) (2,false) (1,false) (1,false) (5,false) (3,false) ->= (1,false) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,false) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) ->= (3,false) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,false) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) ->= (0,false) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,false) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) ->= (2,false) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (0,false) (5,false) (4,false) (2,false) (5,false) (1,false) (2,false) (2,false) (5,false) (4,false) ->= (0,false) (5,false) (5,false) (5,false) (4,false) (1,false) (4,false) (5,false) (2,false) (4,false) ,
13.23/3.57	  (5,false) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) ->= (0,false) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (1,false) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) ->= (0,false) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,false) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) ->= (1,false) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,false) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) ->= (4,false) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,false) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) ->= (0,false) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,false) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) ->= (3,false) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,false) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) ->= (1,false) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 20:
13.23/3.57	
13.23/3.57	(1,true) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(2,false) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(1,false) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(5,false) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(3,false) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
13.23/3.57	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(3,true) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(0,true) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(4,false) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(0,false) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(5,true) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(2,true) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	(4,true) is interpreted by
13.23/3.57	 /                                       \
13.23/3.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
13.23/3.57	 \                                       /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 19-rule system
13.23/3.57	{ (1,true) (2,false) (1,false) (1,false) (5,false) (3,false) -> (1,true) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (1,true) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) -> (0,true) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,true) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) -> (2,true) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (1,true) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) -> (0,true) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,true) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) -> (1,true) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,true) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) -> (4,true) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (3,true) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) -> (3,true) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,true) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) -> (1,true) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) ,
13.23/3.57	  (1,false) (2,false) (1,false) (1,false) (5,false) (3,false) ->= (1,false) (3,false) (1,false) (3,false) (3,false) (3,false) ,
13.23/3.57	  (0,false) (1,false) (4,false) (1,false) (1,false) (1,false) (0,false) (3,false) (4,false) (0,false) ->= (3,false) (1,false) (5,false) (0,false) (1,false) (2,false) (2,false) (0,false) (5,false) (2,false) ,
13.23/3.57	  (1,false) (1,false) (0,false) (3,false) (5,false) (1,false) (2,false) (5,false) (4,false) (0,false) ->= (0,false) (0,false) (0,false) (5,false) (0,false) (3,false) (2,false) (0,false) (3,false) (5,false) ,
13.23/3.57	  (0,false) (0,false) (5,false) (3,false) (0,false) (2,false) (4,false) (1,false) (3,false) (3,false) ->= (2,false) (2,false) (2,false) (1,false) (3,false) (5,false) (2,false) (1,false) (1,false) (0,false) ,
13.23/3.57	  (5,false) (5,false) (1,false) (4,false) (0,false) (4,false) (4,false) (3,false) (1,false) (1,false) (0,false) ->= (0,false) (4,false) (2,false) (3,false) (5,false) (5,false) (5,false) (4,false) (4,false) (2,false) (0,false) ,
13.23/3.57	  (1,false) (4,false) (4,false) (0,false) (1,false) (4,false) (5,false) (5,false) (3,false) (1,false) (1,false) (2,false) ->= (0,false) (2,false) (1,false) (0,false) (4,false) (0,false) (2,false) (4,false) (3,false) (5,false) (5,false) (2,false) ,
13.23/3.57	  (2,false) (1,false) (4,false) (4,false) (2,false) (3,false) (0,false) (0,false) (1,false) (4,false) (3,false) (1,false) (4,false) (2,false) ->= (1,false) (3,false) (4,false) (1,false) (5,false) (4,false) (5,false) (4,false) (4,false) (4,false) (1,false) (5,false) (4,false) (3,false) ,
13.23/3.57	  (4,false) (0,false) (4,false) (4,false) (4,false) (0,false) (5,false) (2,false) (1,false) (5,false) (3,false) (5,false) (4,false) (3,false) (4,false) (4,false) (1,false) ->= (4,false) (3,false) (5,false) (3,false) (3,false) (3,false) (3,false) (0,false) (1,false) (1,false) (1,false) (0,false) (1,false) (3,false) (3,false) (2,false) (1,false) ,
13.23/3.57	  (0,false) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) ->= (0,false) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (3,false) (3,false) (2,false) (3,false) (0,false) (2,false) (2,false) (4,false) (1,false) (1,false) (5,false) (0,false) (5,false) (3,false) (0,false) (3,false) (1,false) (1,false) (1,false) ->= (3,false) (2,false) (2,false) (1,false) (0,false) (0,false) (5,false) (5,false) (0,false) (3,false) (4,false) (2,false) (1,false) (4,false) (4,false) (2,false) (2,false) (5,false) (3,false) ,
13.23/3.57	  (2,false) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) ->= (1,false) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system was filtered by the following matrix interpretation
13.23/3.57	of type E_J with J = {1,...,2} and dimension 2:
13.23/3.57	
13.23/3.57	(1,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 4 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(2,false) is interpreted by
13.23/3.57	 /       \
13.23/3.57	|   1 636 |
13.23/3.57	|   0   1 |
13.23/3.57	 \       /
13.23/3.57	(1,false) is interpreted by
13.23/3.57	 /       \
13.23/3.57	|   1 658 |
13.23/3.57	|   0   1 |
13.23/3.57	 \       /
13.23/3.57	(5,false) is interpreted by
13.23/3.57	 /       \
13.23/3.57	|   1 643 |
13.23/3.57	|   0   1 |
13.23/3.57	 \       /
13.23/3.57	(3,false) is interpreted by
13.23/3.57	 /       \
13.23/3.57	|   1 641 |
13.23/3.57	|   0   1 |
13.23/3.57	 \       /
13.23/3.57	(3,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(0,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(4,false) is interpreted by
13.23/3.57	 /       \
13.23/3.57	|   1 649 |
13.23/3.57	|   0   1 |
13.23/3.57	 \       /
13.23/3.57	(0,false) is interpreted by
13.23/3.57	 /       \
13.23/3.57	|   1 660 |
13.23/3.57	|   0   1 |
13.23/3.57	 \       /
13.23/3.57	(2,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	(4,true) is interpreted by
13.23/3.57	 /   \
13.23/3.57	| 1 0 |
13.23/3.57	| 0 1 |
13.23/3.57	 \   /
13.23/3.57	
13.23/3.57	Remains to prove termination of the 2-rule system
13.23/3.57	{ (0,false) (1,false) (5,false) (4,false) (2,false) (3,false) (5,false) (5,false) (3,false) (1,false) (2,false) (5,false) (3,false) (3,false) (4,false) (0,false) (4,false) ->= (0,false) (5,false) (4,false) (5,false) (1,false) (2,false) (5,false) (1,false) (2,false) (0,false) (2,false) (2,false) (4,false) (5,false) (5,false) (4,false) (4,false) ,
13.23/3.57	  (2,false) (3,false) (4,false) (1,false) (2,false) (0,false) (1,false) (0,false) (5,false) (2,false) (1,false) (1,false) (5,false) (4,false) (0,false) (2,false) (3,false) (0,false) (0,false) (1,false) ->= (1,false) (2,false) (2,false) (2,false) (0,false) (1,false) (0,false) (4,false) (0,false) (3,false) (0,false) (1,false) (3,false) (4,false) (5,false) (4,false) (4,false) (1,false) (1,false) (3,false) }
13.23/3.57	
13.23/3.57	
13.23/3.57	The system is trivially terminating.
13.41/3.71	EOF