40.40/10.56	YES
40.76/10.71	
40.76/10.71	
40.76/10.71	The system was filtered by the following matrix interpretation
40.76/10.71	of type E_J with J = {1,...,2} and dimension 14:
40.76/10.71	
40.76/10.71	3 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	4 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	5 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	1 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	0 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 1 0 0 0 1 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	2 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	
40.76/10.71	Remains to prove termination of the 59-rule system
40.76/10.71	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
40.76/10.71	  5 3 1 3 -> 5 5 2 1 5 5 5 1 1 1 ,
40.76/10.71	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
40.76/10.71	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
40.76/10.71	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
40.76/10.71	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
40.76/10.71	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
40.76/10.71	  4 4 0 4 4 0 -> 4 3 0 0 4 5 1 5 1 0 ,
40.76/10.71	  5 4 0 1 5 4 -> 5 4 3 2 1 1 0 3 3 1 ,
40.76/10.71	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
40.76/10.71	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
40.76/10.71	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
40.76/10.71	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
40.76/10.71	  0 4 0 2 2 4 4 -> 4 2 5 5 2 3 3 2 4 4 ,
40.76/10.71	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
40.76/10.71	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
40.76/10.71	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
40.76/10.71	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
40.76/10.71	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
40.76/10.71	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
40.76/10.71	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
40.76/10.71	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
40.76/10.71	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
40.76/10.71	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
40.76/10.71	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
40.76/10.71	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
40.76/10.71	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
40.76/10.71	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
40.76/10.71	  5 0 3 2 4 5 4 -> 5 3 5 5 2 2 4 5 2 0 ,
40.76/10.71	  5 0 5 4 5 1 4 -> 2 1 0 0 0 5 1 5 5 2 ,
40.76/10.71	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
40.76/10.71	  5 4 0 1 4 1 4 -> 3 3 2 0 4 1 0 0 3 5 ,
40.76/10.71	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
40.76/10.71	  5 4 1 3 4 5 4 -> 3 2 4 2 5 5 5 5 0 4 ,
40.76/10.71	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
40.76/10.71	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
40.76/10.71	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
40.76/10.71	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
40.76/10.71	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
40.76/10.71	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
40.76/10.71	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
40.76/10.71	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
40.76/10.71	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
40.76/10.71	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
40.76/10.71	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
40.76/10.71	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
40.76/10.71	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
40.76/10.71	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
40.76/10.71	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
40.76/10.71	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
40.76/10.71	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
40.76/10.71	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
40.76/10.71	  0 4 0 5 4 2 0 ->= 4 2 0 4 2 5 0 2 1 0 ,
40.76/10.71	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
40.76/10.71	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
40.76/10.71	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
40.76/10.71	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
40.76/10.71	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
40.76/10.71	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
40.76/10.71	
40.76/10.71	
40.76/10.71	The system was filtered by the following matrix interpretation
40.76/10.71	of type E_J with J = {1,...,2} and dimension 7:
40.76/10.71	
40.76/10.71	3 is interpreted by
40.76/10.71	 /             \
40.76/10.71	| 1 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 1 |
40.76/10.71	| 0 0 0 0 1 0 0 |
40.76/10.71	 \             /
40.76/10.71	4 is interpreted by
40.76/10.71	 /             \
40.76/10.71	| 1 0 1 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 |
40.76/10.71	| 0 0 0 1 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 |
40.76/10.71	 \             /
40.76/10.71	5 is interpreted by
40.76/10.71	 /             \
40.76/10.71	| 1 0 1 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 1 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	 \             /
40.76/10.71	1 is interpreted by
40.76/10.71	 /             \
40.76/10.71	| 1 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 1 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 1 |
40.76/10.71	 \             /
40.76/10.71	0 is interpreted by
40.76/10.71	 /             \
40.76/10.71	| 1 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 1 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 |
40.76/10.71	 \             /
40.76/10.71	2 is interpreted by
40.76/10.71	 /             \
40.76/10.71	| 1 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 |
40.76/10.71	 \             /
40.76/10.71	
40.76/10.71	Remains to prove termination of the 58-rule system
40.76/10.71	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
40.76/10.71	  5 3 1 3 -> 5 5 2 1 5 5 5 1 1 1 ,
40.76/10.71	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
40.76/10.71	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
40.76/10.71	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
40.76/10.71	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
40.76/10.71	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
40.76/10.71	  4 4 0 4 4 0 -> 4 3 0 0 4 5 1 5 1 0 ,
40.76/10.71	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
40.76/10.71	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
40.76/10.71	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
40.76/10.71	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
40.76/10.71	  0 4 0 2 2 4 4 -> 4 2 5 5 2 3 3 2 4 4 ,
40.76/10.71	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
40.76/10.71	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
40.76/10.71	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
40.76/10.71	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
40.76/10.71	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
40.76/10.71	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
40.76/10.71	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
40.76/10.71	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
40.76/10.71	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
40.76/10.71	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
40.76/10.71	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
40.76/10.71	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
40.76/10.71	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
40.76/10.71	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
40.76/10.71	  5 0 3 2 4 5 4 -> 5 3 5 5 2 2 4 5 2 0 ,
40.76/10.71	  5 0 5 4 5 1 4 -> 2 1 0 0 0 5 1 5 5 2 ,
40.76/10.71	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
40.76/10.71	  5 4 0 1 4 1 4 -> 3 3 2 0 4 1 0 0 3 5 ,
40.76/10.71	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
40.76/10.71	  5 4 1 3 4 5 4 -> 3 2 4 2 5 5 5 5 0 4 ,
40.76/10.71	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
40.76/10.71	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
40.76/10.71	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
40.76/10.71	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
40.76/10.71	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
40.76/10.71	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
40.76/10.71	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
40.76/10.71	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
40.76/10.71	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
40.76/10.71	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
40.76/10.71	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
40.76/10.71	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
40.76/10.71	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
40.76/10.71	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
40.76/10.71	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
40.76/10.71	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
40.76/10.71	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
40.76/10.71	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
40.76/10.71	  0 4 0 5 4 2 0 ->= 4 2 0 4 2 5 0 2 1 0 ,
40.76/10.71	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
40.76/10.71	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
40.76/10.71	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
40.76/10.71	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
40.76/10.71	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
40.76/10.71	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
40.76/10.71	
40.76/10.71	
40.76/10.71	The system was filtered by the following matrix interpretation
40.76/10.71	of type E_J with J = {1,...,2} and dimension 14:
40.76/10.71	
40.76/10.71	3 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	4 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	5 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	1 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	0 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 1 0 0 0 1 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
40.76/10.71	 \                           /
40.76/10.71	2 is interpreted by
40.76/10.71	 /                           \
40.76/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
40.76/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	
41.02/10.71	Remains to prove termination of the 57-rule system
41.02/10.71	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
41.02/10.71	  5 3 1 3 -> 5 5 2 1 5 5 5 1 1 1 ,
41.02/10.71	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.71	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.71	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.71	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.71	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.71	  4 4 0 4 4 0 -> 4 3 0 0 4 5 1 5 1 0 ,
41.02/10.71	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.71	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
41.02/10.71	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.71	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
41.02/10.71	  0 4 0 2 2 4 4 -> 4 2 5 5 2 3 3 2 4 4 ,
41.02/10.71	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.71	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.71	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.71	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.71	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.71	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.71	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.71	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
41.02/10.71	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
41.02/10.71	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
41.02/10.71	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.71	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.71	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.71	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.71	  5 0 3 2 4 5 4 -> 5 3 5 5 2 2 4 5 2 0 ,
41.02/10.71	  5 0 5 4 5 1 4 -> 2 1 0 0 0 5 1 5 5 2 ,
41.02/10.71	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
41.02/10.71	  5 4 0 1 4 1 4 -> 3 3 2 0 4 1 0 0 3 5 ,
41.02/10.71	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.71	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.71	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.71	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.71	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.71	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.71	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.71	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.71	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.71	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.71	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.71	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.71	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.71	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.71	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.71	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
41.02/10.71	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.71	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
41.02/10.71	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.71	  0 4 0 5 4 2 0 ->= 4 2 0 4 2 5 0 2 1 0 ,
41.02/10.71	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.71	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.71	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.71	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.71	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.71	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.71	
41.02/10.71	
41.02/10.71	The system was filtered by the following matrix interpretation
41.02/10.71	of type E_J with J = {1,...,2} and dimension 14:
41.02/10.71	
41.02/10.71	3 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	4 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	5 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	1 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	0 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 1 0 0 0 1 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	2 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	
41.02/10.71	Remains to prove termination of the 56-rule system
41.02/10.71	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
41.02/10.71	  5 3 1 3 -> 5 5 2 1 5 5 5 1 1 1 ,
41.02/10.71	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.71	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.71	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.71	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.71	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.71	  4 4 0 4 4 0 -> 4 3 0 0 4 5 1 5 1 0 ,
41.02/10.71	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.71	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
41.02/10.71	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.71	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
41.02/10.71	  0 4 0 2 2 4 4 -> 4 2 5 5 2 3 3 2 4 4 ,
41.02/10.71	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.71	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.71	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.71	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.71	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.71	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.71	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.71	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
41.02/10.71	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
41.02/10.71	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
41.02/10.71	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.71	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.71	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.71	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.71	  5 0 5 4 5 1 4 -> 2 1 0 0 0 5 1 5 5 2 ,
41.02/10.71	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
41.02/10.71	  5 4 0 1 4 1 4 -> 3 3 2 0 4 1 0 0 3 5 ,
41.02/10.71	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.71	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.71	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.71	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.71	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.71	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.71	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.71	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.71	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.71	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.71	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.71	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.71	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.71	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.71	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.71	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
41.02/10.71	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.71	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
41.02/10.71	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.71	  0 4 0 5 4 2 0 ->= 4 2 0 4 2 5 0 2 1 0 ,
41.02/10.71	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.71	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.71	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.71	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.71	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.71	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.71	
41.02/10.71	
41.02/10.71	The system was filtered by the following matrix interpretation
41.02/10.71	of type E_J with J = {1,...,2} and dimension 14:
41.02/10.71	
41.02/10.71	3 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	4 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	5 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	 \                           /
41.02/10.71	1 is interpreted by
41.02/10.71	 /                           \
41.02/10.71	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.71	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                           \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                           \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 55-rule system
41.02/10.72	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
41.02/10.72	  5 3 1 3 -> 5 5 2 1 5 5 5 1 1 1 ,
41.02/10.72	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  4 4 0 4 4 0 -> 4 3 0 0 4 5 1 5 1 0 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
41.02/10.72	  0 4 0 2 2 4 4 -> 4 2 5 5 2 3 3 2 4 4 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
41.02/10.72	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
41.02/10.72	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
41.02/10.72	  5 4 0 1 4 1 4 -> 3 3 2 0 4 1 0 0 3 5 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 4 0 5 4 2 0 ->= 4 2 0 4 2 5 0 2 1 0 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 14:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /                           \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	4 is interpreted by
41.02/10.72	 /                           \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	5 is interpreted by
41.02/10.72	 /                           \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	1 is interpreted by
41.02/10.72	 /                           \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                           \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                           \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                           /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 54-rule system
41.02/10.72	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
41.02/10.72	  5 3 1 3 -> 5 5 2 1 5 5 5 1 1 1 ,
41.02/10.72	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  4 4 0 4 4 0 -> 4 3 0 0 4 5 1 5 1 0 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
41.02/10.72	  0 4 0 2 2 4 4 -> 4 2 5 5 2 3 3 2 4 4 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
41.02/10.72	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
41.02/10.72	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 4 0 5 4 2 0 ->= 4 2 0 4 2 5 0 2 1 0 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 12:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /                       \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                       /
41.02/10.72	4 is interpreted by
41.02/10.72	 /                       \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                       /
41.02/10.72	5 is interpreted by
41.02/10.72	 /                       \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                       /
41.02/10.72	1 is interpreted by
41.02/10.72	 /                       \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                       /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                       \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	 \                       /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                       \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                       /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 53-rule system
41.02/10.72	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
41.02/10.72	  5 3 1 3 -> 5 5 2 1 5 5 5 1 1 1 ,
41.02/10.72	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
41.02/10.72	  0 4 0 2 2 4 4 -> 4 2 5 5 2 3 3 2 4 4 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
41.02/10.72	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
41.02/10.72	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 4 0 5 4 2 0 ->= 4 2 0 4 2 5 0 2 1 0 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 17:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /                                 \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                                 /
41.02/10.72	4 is interpreted by
41.02/10.72	 /                                 \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                                 /
41.02/10.72	5 is interpreted by
41.02/10.72	 /                                 \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                                 /
41.02/10.72	1 is interpreted by
41.02/10.72	 /                                 \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                                 /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                                 \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	 \                                 /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                                 \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                                 /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 52-rule system
41.02/10.72	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
41.02/10.72	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
41.02/10.72	  0 4 0 2 2 4 4 -> 4 2 5 5 2 3 3 2 4 4 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
41.02/10.72	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
41.02/10.72	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 4 0 5 4 2 0 ->= 4 2 0 4 2 5 0 2 1 0 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 8:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	4 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	5 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	1 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	0 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	2 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 50-rule system
41.02/10.72	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
41.02/10.72	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
41.02/10.72	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
41.02/10.72	  3 4 4 3 2 4 4 -> 3 5 5 2 4 4 2 0 2 2 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 8:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	4 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	5 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	1 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	0 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	2 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 49-rule system
41.02/10.72	{ 3 4 4 4 -> 5 1 0 3 3 5 2 3 3 2 ,
41.02/10.72	  0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 0 5 4 4 -> 5 5 1 3 3 1 2 0 4 2 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 1 3 0 5 4 4 -> 0 1 3 3 3 4 5 0 3 5 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  3 1 0 1 5 4 4 -> 3 0 4 3 3 3 3 2 0 5 ,
41.02/10.72	  3 2 3 1 2 4 4 -> 3 2 5 2 5 1 3 0 4 5 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 3 4 4 4 0 5 -> 2 3 3 5 3 1 5 1 1 1 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  2 1 4 4 4 1 ->= 2 4 1 0 0 0 1 0 1 0 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  4 5 4 4 3 2 ->= 4 0 2 2 0 0 0 2 3 2 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 5:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /         \
41.02/10.72	| 1 0 1 0 0 |
41.02/10.72	| 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	 \         /
41.02/10.72	4 is interpreted by
41.02/10.72	 /         \
41.02/10.72	| 1 0 0 1 0 |
41.02/10.72	| 0 1 0 0 0 |
41.02/10.72	| 0 0 0 1 0 |
41.02/10.72	| 0 0 1 0 1 |
41.02/10.72	| 0 1 0 0 0 |
41.02/10.72	 \         /
41.02/10.72	5 is interpreted by
41.02/10.72	 /         \
41.02/10.72	| 1 0 0 2 0 |
41.02/10.72	| 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	 \         /
41.02/10.72	1 is interpreted by
41.02/10.72	 /         \
41.02/10.72	| 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 |
41.02/10.72	| 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	 \         /
41.02/10.72	0 is interpreted by
41.02/10.72	 /         \
41.02/10.72	| 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	 \         /
41.02/10.72	2 is interpreted by
41.02/10.72	 /         \
41.02/10.72	| 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 |
41.02/10.72	| 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 |
41.02/10.72	 \         /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 41-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 3 4 3 5 4 -> 0 3 1 5 1 3 3 5 3 3 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 8:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	4 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	5 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 1 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	1 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	0 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	2 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 40-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  1 4 4 2 1 4 4 -> 3 5 1 1 0 5 0 3 1 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 11:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /                     \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                     /
41.02/10.72	4 is interpreted by
41.02/10.72	 /                     \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                     /
41.02/10.72	5 is interpreted by
41.02/10.72	 /                     \
41.02/10.72	| 1 0 1 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                     /
41.02/10.72	1 is interpreted by
41.02/10.72	 /                     \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                     /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                     \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                     /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                     \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                     /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 39-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 0 1 1 5 4 5 -> 5 1 1 3 0 4 1 4 5 1 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 8:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	4 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	5 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	1 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 |
41.02/10.72	 \               /
41.02/10.72	0 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	2 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 38-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  2 5 3 2 1 3 5 -> 5 3 3 4 3 4 5 5 1 1 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 16:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /                               \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                               /
41.02/10.72	4 is interpreted by
41.02/10.72	 /                               \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                               /
41.02/10.72	5 is interpreted by
41.02/10.72	 /                               \
41.02/10.72	| 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                               /
41.02/10.72	1 is interpreted by
41.02/10.72	 /                               \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                               /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                               \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                               /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                               \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                               /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 37-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  3 5 4 2 0 3 -> 3 2 0 1 2 1 5 1 3 3 ,
41.02/10.72	  5 4 5 0 5 0 -> 3 3 3 2 1 1 0 4 2 0 ,
41.02/10.72	  0 0 3 1 5 4 3 -> 2 1 5 0 2 5 3 3 0 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  2 1 1 5 4 1 0 -> 1 5 5 1 2 1 5 3 3 0 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  4 5 4 2 4 1 2 -> 4 3 5 3 3 3 1 3 2 2 ,
41.02/10.72	  5 4 1 2 5 0 1 -> 3 3 4 3 4 0 3 0 0 1 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  5 5 0 ->= 2 4 5 3 3 3 0 5 3 3 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  1 5 4 5 ->= 3 3 3 4 0 1 3 1 4 5 ,
41.02/10.72	  5 4 5 3 ->= 3 3 3 3 1 3 5 0 0 2 ,
41.02/10.72	  5 5 0 4 ->= 5 1 3 3 3 2 1 2 1 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 ,
41.02/10.72	  5 3 0 5 4 5 3 ->= 5 5 1 0 4 5 0 3 4 3 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 10:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /                   \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                   /
41.02/10.72	4 is interpreted by
41.02/10.72	 /                   \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                   /
41.02/10.72	5 is interpreted by
41.02/10.72	 /                   \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                   /
41.02/10.72	1 is interpreted by
41.02/10.72	 /                   \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                   /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                   \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                   /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                   \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                   /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 26-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  2 1 0 0 3 ->= 2 1 1 0 0 0 1 4 3 3 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 6:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /           \
41.02/10.72	| 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 |
41.02/10.72	 \           /
41.02/10.72	4 is interpreted by
41.02/10.72	 /           \
41.02/10.72	| 1 0 0 1 0 0 |
41.02/10.72	| 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	 \           /
41.02/10.72	5 is interpreted by
41.02/10.72	 /           \
41.02/10.72	| 1 0 1 1 0 0 |
41.02/10.72	| 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	 \           /
41.02/10.72	1 is interpreted by
41.02/10.72	 /           \
41.02/10.72	| 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	 \           /
41.02/10.72	0 is interpreted by
41.02/10.72	 /           \
41.02/10.72	| 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	 \           /
41.02/10.72	2 is interpreted by
41.02/10.72	 /           \
41.02/10.72	| 1 0 1 1 0 0 |
41.02/10.72	| 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 |
41.02/10.72	 \           /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 25-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  4 3 2 3 5 3 2 -> 4 5 1 5 2 0 1 1 5 2 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 13:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	4 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	5 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	1 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 24-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 ,
41.02/10.72	  4 3 0 1 4 5 2 ->= 4 5 1 5 2 1 0 2 2 1 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 13:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	4 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	5 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	1 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	0 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	2 is interpreted by
41.02/10.72	 /                         \
41.02/10.72	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.72	 \                         /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 23-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  3 5 3 1 4 3 ->= 3 3 0 5 5 3 3 5 1 3 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 7:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /             \
41.02/10.72	| 1 0 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 |
41.02/10.72	 \             /
41.02/10.72	4 is interpreted by
41.02/10.72	 /             \
41.02/10.72	| 1 0 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	 \             /
41.02/10.72	5 is interpreted by
41.02/10.72	 /             \
41.02/10.72	| 1 0 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	 \             /
41.02/10.72	1 is interpreted by
41.02/10.72	 /             \
41.02/10.72	| 1 0 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	 \             /
41.02/10.72	0 is interpreted by
41.02/10.72	 /             \
41.02/10.72	| 1 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	 \             /
41.02/10.72	2 is interpreted by
41.02/10.72	 /             \
41.02/10.72	| 1 0 1 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 |
41.02/10.72	 \             /
41.02/10.72	
41.02/10.72	Remains to prove termination of the 22-rule system
41.02/10.72	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.72	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.72	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.72	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.72	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.72	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.72	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.72	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.72	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.72	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.72	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.72	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.72	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.72	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.72	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.72	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.72	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.72	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.72	  0 5 0 1 3 3 4 ->= 0 5 5 2 1 1 1 0 2 1 ,
41.02/10.72	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.72	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.72	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.72	
41.02/10.72	
41.02/10.72	The system was filtered by the following matrix interpretation
41.02/10.72	of type E_J with J = {1,...,2} and dimension 8:
41.02/10.72	
41.02/10.72	3 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 1 0 |
41.02/10.72	| 0 0 0 0 0 0 0 1 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	4 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	5 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 1 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	1 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 0 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 1 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 1 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	 \               /
41.02/10.72	0 is interpreted by
41.02/10.72	 /               \
41.02/10.72	| 1 0 1 0 0 0 0 0 |
41.02/10.72	| 0 1 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 1 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.72	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	2 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 21-rule system
41.02/10.73	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.73	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.73	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.73	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.73	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  1 3 4 0 1 4 ->= 2 3 3 3 2 0 1 2 3 4 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 7:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	4 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	5 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	1 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	0 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 1 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	2 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 20-rule system
41.02/10.73	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.73	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.73	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.73	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.73	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 2 0 3 ->= 0 5 0 2 2 2 2 3 3 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 5:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /         \
41.02/10.73	| 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	| 0 1 1 0 0 |
41.02/10.73	 \         /
41.02/10.73	4 is interpreted by
41.02/10.73	 /         \
41.02/10.73	| 1 0 1 0 0 |
41.02/10.73	| 0 1 0 0 0 |
41.02/10.73	| 0 0 0 1 0 |
41.02/10.73	| 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	 \         /
41.02/10.73	5 is interpreted by
41.02/10.73	 /         \
41.02/10.73	| 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 |
41.02/10.73	| 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	 \         /
41.02/10.73	1 is interpreted by
41.02/10.73	 /         \
41.02/10.73	| 1 0 1 0 0 |
41.02/10.73	| 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	 \         /
41.02/10.73	0 is interpreted by
41.02/10.73	 /         \
41.02/10.73	| 1 0 1 0 0 |
41.02/10.73	| 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	 \         /
41.02/10.73	2 is interpreted by
41.02/10.73	 /         \
41.02/10.73	| 1 0 1 0 0 |
41.02/10.73	| 0 1 0 0 0 |
41.02/10.73	| 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 |
41.02/10.73	 \         /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 19-rule system
41.02/10.73	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.73	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.73	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.73	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.73	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  4 2 4 2 5 4 5 -> 0 5 1 5 4 3 4 1 3 5 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 13:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	4 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	5 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	1 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	0 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	2 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 18-rule system
41.02/10.73	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.73	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.73	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.73	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  0 5 0 4 1 3 1 -> 0 0 1 2 3 4 5 3 0 0 ,
41.02/10.73	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 8:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 1 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	4 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	5 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	1 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 1 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	0 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	2 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 17-rule system
41.02/10.73	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.73	  0 0 3 5 1 4 -> 0 4 1 1 5 2 5 3 3 0 ,
41.02/10.73	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.73	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 7:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	4 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	5 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	1 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 1 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	0 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	2 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 16-rule system
41.02/10.73	{ 0 4 0 5 0 -> 0 4 2 2 2 4 0 4 3 3 ,
41.02/10.73	  0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.73	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 12:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /                       \
41.02/10.73	| 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                       /
41.02/10.73	4 is interpreted by
41.02/10.73	 /                       \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                       /
41.02/10.73	5 is interpreted by
41.02/10.73	 /                       \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                       /
41.02/10.73	1 is interpreted by
41.02/10.73	 /                       \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                       /
41.02/10.73	0 is interpreted by
41.02/10.73	 /                       \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                       /
41.02/10.73	2 is interpreted by
41.02/10.73	 /                       \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                       /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 15-rule system
41.02/10.73	{ 0 5 0 4 5 0 -> 0 0 2 3 0 2 0 0 1 0 ,
41.02/10.73	  1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 13:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	4 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	5 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	1 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	0 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	2 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 14-rule system
41.02/10.73	{ 1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  0 5 5 3 2 3 2 -> 0 5 5 3 4 5 5 3 4 1 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 8:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 1 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	4 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	5 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	1 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	0 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	2 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 13-rule system
41.02/10.73	{ 1 0 0 3 4 4 -> 0 2 2 1 3 3 0 0 3 3 ,
41.02/10.73	  1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 7:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	4 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	5 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 1 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	1 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	0 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	2 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 12-rule system
41.02/10.73	{ 1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 ,
41.02/10.73	  3 1 3 0 0 2 4 ->= 0 4 2 2 3 4 3 0 3 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 13:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	4 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	5 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	1 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 1 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	0 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 0 0 0 0 0 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	2 is interpreted by
41.02/10.73	 /                         \
41.02/10.73	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
41.02/10.73	 \                         /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 11-rule system
41.02/10.73	{ 1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 1 0 1 4 0 ->= 0 2 3 0 0 1 5 3 3 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 7:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	4 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	5 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	1 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 1 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	0 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 1 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	2 is interpreted by
41.02/10.73	 /             \
41.02/10.73	| 1 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 |
41.02/10.73	 \             /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 10-rule system
41.02/10.73	{ 1 3 4 1 4 4 0 -> 2 0 4 3 3 0 0 4 2 0 ,
41.02/10.73	  0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system was filtered by the following matrix interpretation
41.02/10.73	of type E_J with J = {1,...,2} and dimension 8:
41.02/10.73	
41.02/10.73	3 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 1 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	4 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 1 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 1 0 |
41.02/10.73	| 0 0 0 0 0 0 0 1 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	5 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 1 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	1 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 1 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 1 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	0 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	2 is interpreted by
41.02/10.73	 /               \
41.02/10.73	| 1 0 0 0 0 0 0 0 |
41.02/10.73	| 0 1 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	| 0 0 0 0 0 0 0 0 |
41.02/10.73	 \               /
41.02/10.73	
41.02/10.73	Remains to prove termination of the 9-rule system
41.02/10.73	{ 0 1 ->= 0 2 2 3 4 3 3 3 1 0 ,
41.02/10.73	  0 0 1 2 4 5 ->= 0 2 2 5 0 3 0 5 1 1 ,
41.02/10.73	  0 4 0 1 5 4 ->= 5 3 3 3 0 4 0 1 5 4 ,
41.02/10.73	  0 5 0 1 4 2 ->= 0 2 0 1 2 3 3 4 5 2 ,
41.02/10.73	  1 0 4 2 1 5 ->= 0 0 1 3 0 3 1 5 3 4 ,
41.02/10.73	  1 3 0 5 0 5 ->= 2 0 1 4 5 3 3 3 3 2 ,
41.02/10.73	  0 3 0 3 5 1 5 ->= 1 0 1 1 1 5 3 3 3 2 ,
41.02/10.73	  1 1 5 1 1 0 2 ->= 5 1 1 3 2 1 5 5 5 2 ,
41.02/10.73	  2 4 3 2 1 2 0 ->= 2 0 5 3 2 4 0 4 2 0 }
41.02/10.73	
41.02/10.73	
41.02/10.73	The system is trivially terminating.
42.06/11.12	EOF