14.41/4.03	YES
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 8:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 1 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	1 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 1 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	2 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	3 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 1 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	4 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	5 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 59-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  0 4 1 -> 0 4 0 0 3 4 5 1 5 3 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 ,
15.01/4.14	  0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 ,
15.01/4.14	  0 4 1 0 -> 5 3 4 2 2 2 0 2 4 3 ,
15.01/4.14	  1 0 4 1 -> 4 5 1 5 3 3 3 3 0 3 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  0 3 3 1 0 1 -> 5 3 2 0 2 4 3 2 4 1 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 ,
15.01/4.14	  0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 ,
15.01/4.14	  0 4 1 1 0 4 3 -> 5 5 2 0 2 5 2 4 2 5 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 1 2 5 0 -> 3 1 0 2 0 4 0 0 2 3 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  1 3 1 ->= 0 1 5 3 3 1 5 3 2 2 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  3 1 1 ->= 3 4 0 1 5 4 2 5 4 5 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  1 0 3 0 1 ->= 4 0 0 5 5 1 5 2 1 5 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  0 3 5 4 0 1 ->= 0 1 5 1 5 3 2 1 5 1 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 4:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 1 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	1 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	 \       /
15.01/4.14	2 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	3 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	4 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 1 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	5 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 54-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 ,
15.01/4.14	  0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  0 3 3 1 0 1 -> 5 3 2 0 2 4 3 2 4 1 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 ,
15.01/4.14	  0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  1 3 1 ->= 0 1 5 3 3 1 5 3 2 2 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  3 1 1 ->= 3 4 0 1 5 4 2 5 4 5 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  1 0 3 0 1 ->= 4 0 0 5 5 1 5 2 1 5 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  0 3 5 4 0 1 ->= 0 1 5 1 5 3 2 1 5 1 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 4:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	1 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 1 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	 \       /
15.01/4.14	2 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	3 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 1 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	4 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	5 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 50-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 ,
15.01/4.14	  0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  0 3 3 1 0 1 -> 5 3 2 0 2 4 3 2 4 1 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 ,
15.01/4.14	  0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  3 1 1 ->= 3 4 0 1 5 4 2 5 4 5 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  1 0 3 0 1 ->= 4 0 0 5 5 1 5 2 1 5 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  0 3 5 4 0 1 ->= 0 1 5 1 5 3 2 1 5 1 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 7:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	1 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	2 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	3 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	4 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	5 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 49-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 ,
15.01/4.14	  0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  0 3 3 1 0 1 -> 5 3 2 0 2 4 3 2 4 1 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 ,
15.01/4.14	  0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  3 1 1 ->= 3 4 0 1 5 4 2 5 4 5 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  1 0 3 0 1 ->= 4 0 0 5 5 1 5 2 1 5 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 7:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	1 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	2 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	3 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	4 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	5 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 48-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 ,
15.01/4.14	  0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 ,
15.01/4.14	  0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  3 1 1 ->= 3 4 0 1 5 4 2 5 4 5 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  1 0 3 0 1 ->= 4 0 0 5 5 1 5 2 1 5 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 11:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /                     \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.14	 \                     /
15.01/4.14	1 is interpreted by
15.01/4.14	 /                     \
15.01/4.14	| 1 0 1 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                     /
15.01/4.14	2 is interpreted by
15.01/4.14	 /                     \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                     /
15.01/4.14	3 is interpreted by
15.01/4.14	 /                     \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                     /
15.01/4.14	4 is interpreted by
15.01/4.14	 /                     \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                     /
15.01/4.14	5 is interpreted by
15.01/4.14	 /                     \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                     /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 47-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 ,
15.01/4.14	  0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 ,
15.01/4.14	  0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  3 1 1 ->= 3 4 0 1 5 4 2 5 4 5 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 4:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 1 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	1 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 1 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	 \       /
15.01/4.14	2 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	3 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 1 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	4 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	5 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 43-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 12:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	1 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	2 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	3 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	4 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	5 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 42-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 5:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /         \
15.01/4.14	| 1 0 1 0 0 |
15.01/4.14	| 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	 \         /
15.01/4.14	1 is interpreted by
15.01/4.14	 /         \
15.01/4.14	| 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 |
15.01/4.14	| 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 |
15.01/4.14	 \         /
15.01/4.14	2 is interpreted by
15.01/4.14	 /         \
15.01/4.14	| 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	 \         /
15.01/4.14	3 is interpreted by
15.01/4.14	 /         \
15.01/4.14	| 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 |
15.01/4.14	| 0 1 0 0 0 |
15.01/4.14	 \         /
15.01/4.14	4 is interpreted by
15.01/4.14	 /         \
15.01/4.14	| 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	 \         /
15.01/4.14	5 is interpreted by
15.01/4.14	 /         \
15.01/4.14	| 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 |
15.01/4.14	 \         /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 41-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 6:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	1 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 1 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	2 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	3 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	4 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	5 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 40-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 ,
15.01/4.14	  3 2 4 2 5 4 1 ->= 0 5 1 4 4 0 3 5 1 5 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 12:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 1 1 0 0 0 0 1 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	1 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	2 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	3 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	4 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	5 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 39-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 7:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	1 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	2 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	3 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	4 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	5 is interpreted by
15.01/4.14	 /             \
15.01/4.14	| 1 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 |
15.01/4.14	 \             /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 38-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  2 1 2 1 ->= 2 1 5 1 5 5 3 1 2 1 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 9:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /                 \
15.01/4.14	| 1 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                 /
15.01/4.14	1 is interpreted by
15.01/4.14	 /                 \
15.01/4.14	| 1 0 1 0 0 1 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                 /
15.01/4.14	2 is interpreted by
15.01/4.14	 /                 \
15.01/4.14	| 1 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                 /
15.01/4.14	3 is interpreted by
15.01/4.14	 /                 \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 1 0 0 0 0 0 0 |
15.01/4.14	 \                 /
15.01/4.14	4 is interpreted by
15.01/4.14	 /                 \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                 /
15.01/4.14	5 is interpreted by
15.01/4.14	 /                 \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                 /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 34-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 8:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	1 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	2 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	3 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	4 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	5 is interpreted by
15.01/4.14	 /               \
15.01/4.14	| 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 |
15.01/4.14	 \               /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 33-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 13:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /                         \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                         /
15.01/4.14	1 is interpreted by
15.01/4.14	 /                         \
15.01/4.14	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                         /
15.01/4.14	2 is interpreted by
15.01/4.14	 /                         \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                         /
15.01/4.14	3 is interpreted by
15.01/4.14	 /                         \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                         /
15.01/4.14	4 is interpreted by
15.01/4.14	 /                         \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                         /
15.01/4.14	5 is interpreted by
15.01/4.14	 /                         \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                         /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 32-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 6:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	1 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 1 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	2 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	3 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	4 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 1 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	5 is interpreted by
15.01/4.14	 /           \
15.01/4.14	| 1 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 |
15.01/4.14	 \           /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 31-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  2 1 1 -> 2 5 3 1 5 3 3 3 4 4 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 ,
15.01/4.14	  1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 4:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 1 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	1 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 1 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 1 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	 \       /
15.01/4.14	2 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 1 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	3 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	4 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	5 is interpreted by
15.01/4.14	 /       \
15.01/4.14	| 1 0 0 0 |
15.01/4.14	| 0 1 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	| 0 0 0 0 |
15.01/4.14	 \       /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 27-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.14	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.14	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.14	  1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 ,
15.01/4.14	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.14	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.14	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.14	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.14	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.14	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.14	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.14	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.14	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.14	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.14	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.14	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.14	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.14	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.14	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.14	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.14	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.14	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.14	
15.01/4.14	
15.01/4.14	The system was filtered by the following matrix interpretation
15.01/4.14	of type E_J with J = {1,...,2} and dimension 12:
15.01/4.14	
15.01/4.14	0 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	1 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 1 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	2 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	3 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 1 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	4 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	5 is interpreted by
15.01/4.14	 /                       \
15.01/4.14	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.14	 \                       /
15.01/4.14	
15.01/4.14	Remains to prove termination of the 26-rule system
15.01/4.14	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.14	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.14	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.14	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.14	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.14	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.15	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.15	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.15	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.15	  0 3 0 5 1 0 ->= 4 0 5 0 5 2 1 2 4 4 ,
15.01/4.15	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 13:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /                         \
15.01/4.15	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                         /
15.01/4.15	1 is interpreted by
15.01/4.15	 /                         \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                         /
15.01/4.15	2 is interpreted by
15.01/4.15	 /                         \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                         /
15.01/4.15	3 is interpreted by
15.01/4.15	 /                         \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                         /
15.01/4.15	4 is interpreted by
15.01/4.15	 /                         \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                         /
15.01/4.15	5 is interpreted by
15.01/4.15	 /                         \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                         /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 25-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  2 0 1 -> 5 4 2 1 2 5 2 5 2 5 ,
15.01/4.15	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.15	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.15	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.15	  1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 ,
15.01/4.15	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.15	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  2 0 1 0 ->= 2 3 5 4 3 4 5 4 2 3 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.15	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 4:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 1 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 1 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	1 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 1 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	 \       /
15.01/4.15	2 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 1 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	3 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 1 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	4 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	5 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 21-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.15	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.15	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.15	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.15	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 ,
15.01/4.15	  3 0 4 4 3 0 ->= 3 4 0 2 2 1 5 3 2 0 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 7:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	1 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	2 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	3 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 1 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	4 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	5 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 20-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 ,
15.01/4.15	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.15	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.15	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.15	  1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 11:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /                     \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 1 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                     /
15.01/4.15	1 is interpreted by
15.01/4.15	 /                     \
15.01/4.15	| 1 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                     /
15.01/4.15	2 is interpreted by
15.01/4.15	 /                     \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                     /
15.01/4.15	3 is interpreted by
15.01/4.15	 /                     \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                     /
15.01/4.15	4 is interpreted by
15.01/4.15	 /                     \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                     /
15.01/4.15	5 is interpreted by
15.01/4.15	 /                     \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.15	 \                     /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 18-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 ,
15.01/4.15	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.15	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 10:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /                   \
15.01/4.15	| 1 0 0 0 0 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                   /
15.01/4.15	1 is interpreted by
15.01/4.15	 /                   \
15.01/4.15	| 1 0 1 0 0 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                   /
15.01/4.15	2 is interpreted by
15.01/4.15	 /                   \
15.01/4.15	| 1 0 0 0 0 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                   /
15.01/4.15	3 is interpreted by
15.01/4.15	 /                   \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                   /
15.01/4.15	4 is interpreted by
15.01/4.15	 /                   \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                   /
15.01/4.15	5 is interpreted by
15.01/4.15	 /                   \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 1 |
15.01/4.15	| 0 0 0 1 0 0 0 0 0 0 |
15.01/4.15	 \                   /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 17-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.15	  1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 12:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	1 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	2 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	3 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	4 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	5 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 1 |
15.01/4.15	| 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 16-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  2 4 3 ->= 2 5 1 2 5 1 5 3 4 4 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 4:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 1 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	1 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	2 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 1 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	3 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	 \       /
15.01/4.15	4 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 1 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	5 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 14-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 6:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 1 1 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	1 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	2 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 1 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	3 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	4 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 1 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	5 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 13-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 5:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 1 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 1 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	1 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	2 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 1 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	3 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	4 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 1 0 0 |
15.01/4.15	 \         /
15.01/4.15	5 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 12-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 12:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 1 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 1 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	1 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	2 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	3 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	4 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 1 0 0 |
15.01/4.15	 \                       /
15.01/4.15	5 is interpreted by
15.01/4.15	 /                       \
15.01/4.15	| 1 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 0 0 0 0 0 |
15.01/4.15	 \                       /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 11-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  1 2 0 4 ->= 1 5 3 3 2 4 1 0 5 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 5:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	1 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 1 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	2 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	3 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	4 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	5 is interpreted by
15.01/4.15	 /         \
15.01/4.15	| 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 |
15.01/4.15	 \         /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 10-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 ,
15.01/4.15	  1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 ,
15.01/4.15	  5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 ,
15.01/4.15	  4 1 0 2 4 ->= 5 3 3 4 3 5 3 2 0 5 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 2:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /   \
15.01/4.15	| 1 0 |
15.01/4.15	| 0 1 |
15.01/4.15	 \   /
15.01/4.15	1 is interpreted by
15.01/4.15	 /   \
15.01/4.15	| 1 1 |
15.01/4.15	| 0 1 |
15.01/4.15	 \   /
15.01/4.15	2 is interpreted by
15.01/4.15	 /   \
15.01/4.15	| 1 0 |
15.01/4.15	| 0 1 |
15.01/4.15	 \   /
15.01/4.15	3 is interpreted by
15.01/4.15	 /   \
15.01/4.15	| 1 0 |
15.01/4.15	| 0 1 |
15.01/4.15	 \   /
15.01/4.15	4 is interpreted by
15.01/4.15	 /   \
15.01/4.15	| 1 0 |
15.01/4.15	| 0 1 |
15.01/4.15	 \   /
15.01/4.15	5 is interpreted by
15.01/4.15	 /   \
15.01/4.15	| 1 0 |
15.01/4.15	| 0 1 |
15.01/4.15	 \   /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 5-rule system
15.01/4.15	{ 0 1 -> 0 2 3 4 5 1 4 3 4 5 ,
15.01/4.15	  0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 3:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /     \
15.01/4.15	| 1 0 1 |
15.01/4.15	| 0 1 0 |
15.01/4.15	| 0 0 0 |
15.01/4.15	 \     /
15.01/4.15	1 is interpreted by
15.01/4.15	 /     \
15.01/4.15	| 1 0 0 |
15.01/4.15	| 0 1 0 |
15.01/4.15	| 0 1 0 |
15.01/4.15	 \     /
15.01/4.15	2 is interpreted by
15.01/4.15	 /     \
15.01/4.15	| 1 0 0 |
15.01/4.15	| 0 1 0 |
15.01/4.15	| 0 0 0 |
15.01/4.15	 \     /
15.01/4.15	3 is interpreted by
15.01/4.15	 /     \
15.01/4.15	| 1 0 0 |
15.01/4.15	| 0 1 0 |
15.01/4.15	| 0 0 0 |
15.01/4.15	 \     /
15.01/4.15	4 is interpreted by
15.01/4.15	 /     \
15.01/4.15	| 1 0 0 |
15.01/4.15	| 0 1 0 |
15.01/4.15	| 0 0 0 |
15.01/4.15	 \     /
15.01/4.15	5 is interpreted by
15.01/4.15	 /     \
15.01/4.15	| 1 0 0 |
15.01/4.15	| 0 1 0 |
15.01/4.15	| 0 0 0 |
15.01/4.15	 \     /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 4-rule system
15.01/4.15	{ 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 7:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	1 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	2 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 1 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	3 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	4 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	5 is interpreted by
15.01/4.15	 /             \
15.01/4.15	| 1 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 1 |
15.01/4.15	| 0 1 0 0 0 0 0 |
15.01/4.15	 \             /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 3-rule system
15.01/4.15	{ 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  1 0 5 ->= 1 0 2 3 2 0 2 5 3 5 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 4:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 1 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	1 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 1 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	2 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	3 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	4 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	 \       /
15.01/4.15	5 is interpreted by
15.01/4.15	 /       \
15.01/4.15	| 1 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	| 0 0 0 0 |
15.01/4.15	| 0 1 0 0 |
15.01/4.15	 \       /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 2-rule system
15.01/4.15	{ 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 ,
15.01/4.15	  0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system was filtered by the following matrix interpretation
15.01/4.15	of type E_J with J = {1,...,2} and dimension 6:
15.01/4.15	
15.01/4.15	0 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 1 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	1 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	2 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 1 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	3 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	4 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	5 is interpreted by
15.01/4.15	 /           \
15.01/4.15	| 1 0 0 0 0 0 |
15.01/4.15	| 0 1 0 0 0 0 |
15.01/4.15	| 0 0 0 1 0 0 |
15.01/4.15	| 0 0 0 0 1 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	| 0 0 0 0 0 0 |
15.01/4.15	 \           /
15.01/4.15	
15.01/4.15	Remains to prove termination of the 1-rule system
15.01/4.15	{ 0 0 2 4 ->= 4 5 3 0 2 0 0 0 2 4 }
15.01/4.15	
15.01/4.15	
15.01/4.15	The system is trivially terminating.
15.14/4.20	EOF