17.36/4.63	YES
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 3:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 1 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	4 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	 \     /
17.58/4.70	1 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	2 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	3 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 1 |
17.58/4.70	 \     /
17.58/4.70	5 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 52-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  0 1 3 -> 0 2 4 3 4 4 ,
17.58/4.70	  0 2 4 -> 1 5 4 3 4 4 ,
17.58/4.70	  1 2 3 -> 5 1 4 1 4 4 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  1 3 3 -> 5 4 0 3 2 3 ,
17.58/4.70	  1 3 5 -> 1 1 4 3 3 2 ,
17.58/4.70	  2 0 0 -> 2 4 3 4 4 4 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  3 0 5 -> 3 1 0 2 3 2 ,
17.58/4.70	  4 0 0 -> 2 5 2 1 1 1 ,
17.58/4.70	  4 0 5 -> 4 1 4 5 1 4 ,
17.58/4.70	  4 0 5 -> 4 2 1 4 3 5 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  5 0 4 -> 1 5 1 0 3 4 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  1 3 ->= 1 1 4 4 3 3 ,
17.58/4.70	  1 3 ->= 1 5 4 4 4 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 3 3 ->= 1 1 1 5 3 3 ,
17.58/4.70	  1 3 3 ->= 5 2 4 4 3 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 0 3 ->= 2 4 4 5 5 3 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 1 3 ->= 1 2 4 5 2 3 ,
17.58/4.70	  3 1 3 ->= 1 4 3 3 5 4 ,
17.58/4.70	  3 1 3 ->= 3 1 5 4 4 3 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 3 2 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 5 1 4 ,
17.58/4.70	  4 1 3 ->= 4 1 5 4 1 4 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 4:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /       \
17.58/4.70	| 1 0 1 0 |
17.58/4.70	| 0 1 0 0 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	 \       /
17.58/4.70	4 is interpreted by
17.58/4.70	 /       \
17.58/4.70	| 1 0 0 0 |
17.58/4.70	| 0 1 0 0 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	 \       /
17.58/4.70	1 is interpreted by
17.58/4.70	 /       \
17.58/4.70	| 1 0 0 0 |
17.58/4.70	| 0 1 0 0 |
17.58/4.70	| 0 0 0 1 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	 \       /
17.58/4.70	2 is interpreted by
17.58/4.70	 /       \
17.58/4.70	| 1 0 0 0 |
17.58/4.70	| 0 1 0 0 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	 \       /
17.58/4.70	3 is interpreted by
17.58/4.70	 /       \
17.58/4.70	| 1 0 0 0 |
17.58/4.70	| 0 1 0 0 |
17.58/4.70	| 0 0 1 0 |
17.58/4.70	| 0 1 0 0 |
17.58/4.70	 \       /
17.58/4.70	5 is interpreted by
17.58/4.70	 /       \
17.58/4.70	| 1 0 0 0 |
17.58/4.70	| 0 1 0 0 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	| 0 0 0 0 |
17.58/4.70	 \       /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 51-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  0 2 4 -> 1 5 4 3 4 4 ,
17.58/4.70	  1 2 3 -> 5 1 4 1 4 4 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  1 3 3 -> 5 4 0 3 2 3 ,
17.58/4.70	  1 3 5 -> 1 1 4 3 3 2 ,
17.58/4.70	  2 0 0 -> 2 4 3 4 4 4 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  3 0 5 -> 3 1 0 2 3 2 ,
17.58/4.70	  4 0 0 -> 2 5 2 1 1 1 ,
17.58/4.70	  4 0 5 -> 4 1 4 5 1 4 ,
17.58/4.70	  4 0 5 -> 4 2 1 4 3 5 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  5 0 4 -> 1 5 1 0 3 4 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  1 3 ->= 1 1 4 4 3 3 ,
17.58/4.70	  1 3 ->= 1 5 4 4 4 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 3 3 ->= 1 1 1 5 3 3 ,
17.58/4.70	  1 3 3 ->= 5 2 4 4 3 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 0 3 ->= 2 4 4 5 5 3 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 1 3 ->= 1 2 4 5 2 3 ,
17.58/4.70	  3 1 3 ->= 1 4 3 3 5 4 ,
17.58/4.70	  3 1 3 ->= 3 1 5 4 4 3 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 3 2 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 5 1 4 ,
17.58/4.70	  4 1 3 ->= 4 1 5 4 1 4 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 1 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 50-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 2 3 -> 5 1 4 1 4 4 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  1 3 3 -> 5 4 0 3 2 3 ,
17.58/4.70	  1 3 5 -> 1 1 4 3 3 2 ,
17.58/4.70	  2 0 0 -> 2 4 3 4 4 4 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  3 0 5 -> 3 1 0 2 3 2 ,
17.58/4.70	  4 0 0 -> 2 5 2 1 1 1 ,
17.58/4.70	  4 0 5 -> 4 1 4 5 1 4 ,
17.58/4.70	  4 0 5 -> 4 2 1 4 3 5 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  5 0 4 -> 1 5 1 0 3 4 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  1 3 ->= 1 1 4 4 3 3 ,
17.58/4.70	  1 3 ->= 1 5 4 4 4 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 3 3 ->= 1 1 1 5 3 3 ,
17.58/4.70	  1 3 3 ->= 5 2 4 4 3 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 0 3 ->= 2 4 4 5 5 3 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 1 3 ->= 1 2 4 5 2 3 ,
17.58/4.70	  3 1 3 ->= 1 4 3 3 5 4 ,
17.58/4.70	  3 1 3 ->= 3 1 5 4 4 3 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 3 2 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 5 1 4 ,
17.58/4.70	  4 1 3 ->= 4 1 5 4 1 4 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 1 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 1 0 0 1 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 49-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 2 3 -> 5 1 4 1 4 4 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  1 3 3 -> 5 4 0 3 2 3 ,
17.58/4.70	  1 3 5 -> 1 1 4 3 3 2 ,
17.58/4.70	  2 0 0 -> 2 4 3 4 4 4 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  3 0 5 -> 3 1 0 2 3 2 ,
17.58/4.70	  4 0 0 -> 2 5 2 1 1 1 ,
17.58/4.70	  4 0 5 -> 4 1 4 5 1 4 ,
17.58/4.70	  4 0 5 -> 4 2 1 4 3 5 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  5 0 4 -> 1 5 1 0 3 4 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  1 3 ->= 1 1 4 4 3 3 ,
17.58/4.70	  1 3 ->= 1 5 4 4 4 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 3 3 ->= 1 1 1 5 3 3 ,
17.58/4.70	  1 3 3 ->= 5 2 4 4 3 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 1 3 ->= 1 2 4 5 2 3 ,
17.58/4.70	  3 1 3 ->= 1 4 3 3 5 4 ,
17.58/4.70	  3 1 3 ->= 3 1 5 4 4 3 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 3 2 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 5 1 4 ,
17.58/4.70	  4 1 3 ->= 4 1 5 4 1 4 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 1 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 1 0 0 1 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 48-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 2 3 -> 5 1 4 1 4 4 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  1 3 3 -> 5 4 0 3 2 3 ,
17.58/4.70	  1 3 5 -> 1 1 4 3 3 2 ,
17.58/4.70	  2 0 0 -> 2 4 3 4 4 4 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  3 0 5 -> 3 1 0 2 3 2 ,
17.58/4.70	  4 0 0 -> 2 5 2 1 1 1 ,
17.58/4.70	  4 0 5 -> 4 1 4 5 1 4 ,
17.58/4.70	  4 0 5 -> 4 2 1 4 3 5 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  1 3 ->= 1 1 4 4 3 3 ,
17.58/4.70	  1 3 ->= 1 5 4 4 4 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 3 3 ->= 1 1 1 5 3 3 ,
17.58/4.70	  1 3 3 ->= 5 2 4 4 3 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 1 3 ->= 1 2 4 5 2 3 ,
17.58/4.70	  3 1 3 ->= 1 4 3 3 5 4 ,
17.58/4.70	  3 1 3 ->= 3 1 5 4 4 3 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 3 2 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 5 1 4 ,
17.58/4.70	  4 1 3 ->= 4 1 5 4 1 4 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 8:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /               \
17.58/4.70	| 1 0 1 0 0 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	 \               /
17.58/4.70	4 is interpreted by
17.58/4.70	 /               \
17.58/4.70	| 1 0 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	 \               /
17.58/4.70	1 is interpreted by
17.58/4.70	 /               \
17.58/4.70	| 1 0 0 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 1 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	 \               /
17.58/4.70	2 is interpreted by
17.58/4.70	 /               \
17.58/4.70	| 1 0 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	 \               /
17.58/4.70	3 is interpreted by
17.58/4.70	 /               \
17.58/4.70	| 1 0 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 0 0 |
17.58/4.70	| 0 1 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 1 |
17.58/4.70	| 0 0 1 0 0 0 0 1 |
17.58/4.70	 \               /
17.58/4.70	5 is interpreted by
17.58/4.70	 /               \
17.58/4.70	| 1 0 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 1 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 0 |
17.58/4.70	 \               /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 47-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 2 3 -> 5 1 4 1 4 4 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  1 3 3 -> 5 4 0 3 2 3 ,
17.58/4.70	  1 3 5 -> 1 1 4 3 3 2 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  3 0 5 -> 3 1 0 2 3 2 ,
17.58/4.70	  4 0 0 -> 2 5 2 1 1 1 ,
17.58/4.70	  4 0 5 -> 4 1 4 5 1 4 ,
17.58/4.70	  4 0 5 -> 4 2 1 4 3 5 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  1 3 ->= 1 1 4 4 3 3 ,
17.58/4.70	  1 3 ->= 1 5 4 4 4 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 3 3 ->= 1 1 1 5 3 3 ,
17.58/4.70	  1 3 3 ->= 5 2 4 4 3 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 1 3 ->= 1 2 4 5 2 3 ,
17.58/4.70	  3 1 3 ->= 1 4 3 3 5 4 ,
17.58/4.70	  3 1 3 ->= 3 1 5 4 4 3 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 3 2 3 ,
17.58/4.70	  4 0 5 ->= 4 5 4 5 1 4 ,
17.58/4.70	  4 1 3 ->= 4 1 5 4 1 4 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 1 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 2 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 1 1 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	| 0 1 0 1 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 32-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 2 3 -> 5 1 4 1 4 4 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  4 0 0 -> 2 5 2 1 1 1 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 1 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 1 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 31-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  4 0 0 -> 2 5 2 1 1 1 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	| 0 0 0 0 1 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 30-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  1 2 ->= 1 4 2 2 2 3 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 3:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	4 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	1 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 1 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	2 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	 \     /
17.58/4.70	3 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	5 is interpreted by
17.58/4.70	 /     \
17.58/4.70	| 1 0 0 |
17.58/4.70	| 0 1 0 |
17.58/4.70	| 0 0 0 |
17.58/4.70	 \     /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 29-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 ,
17.58/4.70	  5 5 4 ->= 5 2 4 3 2 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 1 1 0 1 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 1 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 28-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  2 0 1 -> 2 1 5 1 0 1 ,
17.58/4.70	  2 0 1 -> 2 4 3 5 2 3 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 1 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 1 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 26-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 0 3 ->= 1 4 0 2 1 0 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 1 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 1 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	4 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 1 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	1 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	2 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	3 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 1 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 1 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	5 is interpreted by
17.58/4.70	 /           \
17.58/4.70	| 1 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 |
17.58/4.70	| 0 0 1 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 |
17.58/4.70	 \           /
17.58/4.70	
17.58/4.70	Remains to prove termination of the 25-rule system
17.58/4.70	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.70	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.70	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.70	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.70	  0 ->= 1 1 0 2 3 3 ,
17.58/4.70	  4 ->= 5 1 0 2 1 4 ,
17.58/4.70	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.70	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.70	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.70	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.70	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.70	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.70	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.70	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.70	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.70	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.70	  3 2 0 ->= 3 2 1 0 2 5 ,
17.58/4.70	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.70	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.70	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.70	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.70	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.70	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.70	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.70	  4 0 5 ->= 4 2 1 1 1 3 }
17.58/4.70	
17.58/4.70	
17.58/4.70	The system was filtered by the following matrix interpretation
17.58/4.70	of type E_J with J = {1,...,2} and dimension 7:
17.58/4.70	
17.58/4.70	0 is interpreted by
17.58/4.70	 /             \
17.58/4.70	| 1 0 1 0 0 0 1 |
17.58/4.70	| 0 1 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 |
17.58/4.70	 \             /
17.58/4.70	4 is interpreted by
17.58/4.70	 /             \
17.58/4.70	| 1 0 0 0 0 0 0 |
17.58/4.70	| 0 1 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 |
17.58/4.70	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 0 1 |
17.58/4.71	 \             /
17.58/4.71	1 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 1 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 1 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	2 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 1 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	3 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 1 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 1 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 1 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	5 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 1 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	
17.58/4.71	Remains to prove termination of the 24-rule system
17.58/4.71	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.71	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.71	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.71	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.71	  0 ->= 1 1 0 2 3 3 ,
17.58/4.71	  4 ->= 5 1 0 2 1 4 ,
17.58/4.71	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.71	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.71	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.71	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.71	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.71	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.71	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.71	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.71	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.71	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.71	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.71	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.71	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.71	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.71	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.71	  4 0 4 ->= 5 1 1 1 0 4 ,
17.58/4.71	  4 0 5 ->= 1 1 0 3 3 5 ,
17.58/4.71	  4 0 5 ->= 4 2 1 1 1 3 }
17.58/4.71	
17.58/4.71	
17.58/4.71	The system was filtered by the following matrix interpretation
17.58/4.71	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.71	
17.58/4.71	0 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 1 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 1 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	4 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 1 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	1 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 0 0 1 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	2 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 1 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	3 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 1 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 1 |
17.58/4.71	| 0 1 0 0 0 1 |
17.58/4.71	 \           /
17.58/4.71	5 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 1 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 1 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	
17.58/4.71	Remains to prove termination of the 22-rule system
17.58/4.71	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.71	  1 3 3 -> 0 2 1 1 0 5 ,
17.58/4.71	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.71	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.71	  0 ->= 1 1 0 2 3 3 ,
17.58/4.71	  4 ->= 5 1 0 2 1 4 ,
17.58/4.71	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.71	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.71	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.71	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.71	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.71	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.71	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.71	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.71	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.71	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.71	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.71	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.71	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.71	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.71	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.71	  4 0 4 ->= 5 1 1 1 0 4 }
17.58/4.71	
17.58/4.71	
17.58/4.71	The system was filtered by the following matrix interpretation
17.58/4.71	of type E_J with J = {1,...,2} and dimension 4:
17.58/4.71	
17.58/4.71	0 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	4 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	1 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 1 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	2 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	3 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 1 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	 \       /
17.58/4.71	5 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	
17.58/4.71	Remains to prove termination of the 21-rule system
17.58/4.71	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.71	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.71	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.71	  0 ->= 1 1 0 2 3 3 ,
17.58/4.71	  4 ->= 5 1 0 2 1 4 ,
17.58/4.71	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.71	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.71	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.71	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.71	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.71	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.71	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.71	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.71	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.71	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.71	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.71	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.71	  3 5 4 ->= 1 4 2 4 5 3 ,
17.58/4.71	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.71	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.71	  4 0 4 ->= 5 1 1 1 0 4 }
17.58/4.71	
17.58/4.71	
17.58/4.71	The system was filtered by the following matrix interpretation
17.58/4.71	of type E_J with J = {1,...,2} and dimension 7:
17.58/4.71	
17.58/4.71	0 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 1 0 1 0 1 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	4 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 1 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 1 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	1 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	2 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 1 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	3 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 1 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	5 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	
17.58/4.71	Remains to prove termination of the 20-rule system
17.58/4.71	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.71	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.71	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.71	  0 ->= 1 1 0 2 3 3 ,
17.58/4.71	  4 ->= 5 1 0 2 1 4 ,
17.58/4.71	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.71	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.71	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.71	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.71	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.71	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.71	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.71	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.71	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.71	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.71	  3 4 0 ->= 3 4 1 0 2 3 ,
17.58/4.71	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.71	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.71	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.71	  4 0 4 ->= 5 1 1 1 0 4 }
17.58/4.71	
17.58/4.71	
17.58/4.71	The system was filtered by the following matrix interpretation
17.58/4.71	of type E_J with J = {1,...,2} and dimension 7:
17.58/4.71	
17.58/4.71	0 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 1 0 1 0 1 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	4 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 1 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	1 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	2 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 1 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	3 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 1 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	5 is interpreted by
17.58/4.71	 /             \
17.58/4.71	| 1 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 0 |
17.58/4.71	 \             /
17.58/4.71	
17.58/4.71	Remains to prove termination of the 19-rule system
17.58/4.71	{ 0 1 1 -> 0 2 2 1 1 1 ,
17.58/4.71	  3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.71	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.71	  0 ->= 1 1 0 2 3 3 ,
17.58/4.71	  4 ->= 5 1 0 2 1 4 ,
17.58/4.71	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.71	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.71	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.71	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.71	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.71	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.71	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.71	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.71	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.71	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.71	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.71	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.71	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.71	  4 0 4 ->= 5 1 1 1 0 4 }
17.58/4.71	
17.58/4.71	
17.58/4.71	The system was filtered by the following matrix interpretation
17.58/4.71	of type E_J with J = {1,...,2} and dimension 6:
17.58/4.71	
17.58/4.71	0 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 1 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 1 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	4 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	1 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 1 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	2 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	3 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	5 is interpreted by
17.58/4.71	 /           \
17.58/4.71	| 1 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 1 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 0 |
17.58/4.71	 \           /
17.58/4.71	
17.58/4.71	Remains to prove termination of the 18-rule system
17.58/4.71	{ 3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.71	  5 0 2 -> 1 5 2 1 0 2 ,
17.58/4.71	  0 ->= 1 1 0 2 3 3 ,
17.58/4.71	  4 ->= 5 1 0 2 1 4 ,
17.58/4.71	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.71	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.71	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.71	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.71	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.71	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.71	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.71	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.71	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.71	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.71	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.71	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.71	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.71	  4 0 4 ->= 5 1 1 1 0 4 }
17.58/4.71	
17.58/4.71	
17.58/4.71	The system was filtered by the following matrix interpretation
17.58/4.71	of type E_J with J = {1,...,2} and dimension 4:
17.58/4.71	
17.58/4.71	0 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 1 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 1 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	4 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	1 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	2 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 1 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	 \       /
17.58/4.71	3 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 0 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	5 is interpreted by
17.58/4.71	 /       \
17.58/4.71	| 1 0 1 0 |
17.58/4.71	| 0 1 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	| 0 0 0 0 |
17.58/4.71	 \       /
17.58/4.71	
17.58/4.71	Remains to prove termination of the 17-rule system
17.58/4.71	{ 3 0 1 -> 3 1 4 3 4 1 ,
17.58/4.71	  0 ->= 1 1 0 2 3 3 ,
17.58/4.71	  4 ->= 5 1 0 2 1 4 ,
17.58/4.71	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.71	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.71	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.71	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.71	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.71	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.71	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.71	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.71	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.71	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.71	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.71	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.71	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.71	  4 0 4 ->= 5 1 1 1 0 4 }
17.58/4.71	
17.58/4.71	
17.58/4.71	The system was filtered by the following matrix interpretation
17.58/4.71	of type E_J with J = {1,...,2} and dimension 5:
17.58/4.71	
17.58/4.71	0 is interpreted by
17.58/4.71	 /         \
17.58/4.71	| 1 0 1 0 1 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 1 0 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	 \         /
17.58/4.71	4 is interpreted by
17.58/4.71	 /         \
17.58/4.71	| 1 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	| 0 0 1 0 0 |
17.58/4.71	 \         /
17.58/4.71	1 is interpreted by
17.58/4.71	 /         \
17.58/4.71	| 1 0 1 0 0 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	 \         /
17.58/4.71	2 is interpreted by
17.58/4.71	 /         \
17.58/4.71	| 1 0 0 0 1 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	 \         /
17.58/4.71	3 is interpreted by
17.58/4.71	 /         \
17.58/4.71	| 1 0 1 0 0 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	 \         /
17.58/4.71	5 is interpreted by
17.58/4.71	 /         \
17.58/4.71	| 1 0 0 0 0 |
17.58/4.71	| 0 1 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	| 0 0 0 0 0 |
17.58/4.71	 \         /
17.58/4.71	
17.58/4.71	Remains to prove termination of the 16-rule system
17.58/4.71	{ 0 ->= 1 1 0 2 3 3 ,
17.58/4.71	  4 ->= 5 1 0 2 1 4 ,
17.58/4.71	  2 3 ->= 2 1 4 4 2 3 ,
17.58/4.71	  2 4 ->= 2 4 4 1 4 3 ,
17.58/4.71	  3 0 ->= 3 2 1 5 1 0 ,
17.58/4.71	  3 1 ->= 1 4 2 3 3 1 ,
17.58/4.71	  3 1 ->= 1 4 4 3 1 4 ,
17.58/4.71	  3 4 ->= 1 4 4 4 4 4 ,
17.58/4.71	  4 1 ->= 4 1 0 2 1 4 ,
17.58/4.71	  0 4 1 ->= 0 4 1 0 2 3 ,
17.58/4.71	  1 4 0 ->= 1 4 1 4 4 2 ,
17.58/4.71	  2 4 2 ->= 2 4 2 3 4 5 ,
17.58/4.71	  3 4 5 ->= 3 0 2 1 4 4 ,
17.58/4.71	  4 0 1 ->= 5 1 1 5 4 1 ,
17.58/4.71	  4 0 2 ->= 4 2 1 4 4 5 ,
17.58/4.71	  4 0 4 ->= 5 1 1 1 0 4 }
17.58/4.71	
17.58/4.71	
17.58/4.71	The system is trivially terminating.
18.39/5.23	EOF