20.56/5.47	YES
20.79/5.57	
20.79/5.57	
20.79/5.57	The system was filtered by the following matrix interpretation
20.79/5.57	of type E_J with J = {1,...,2} and dimension 4:
20.79/5.57	
20.79/5.57	5 is interpreted by
20.79/5.57	 /       \
20.79/5.57	| 1 0 1 0 |
20.79/5.57	| 0 1 0 0 |
20.79/5.57	| 0 0 0 0 |
20.79/5.57	| 0 1 0 0 |
20.79/5.57	 \       /
20.79/5.57	1 is interpreted by
20.79/5.57	 /       \
20.79/5.57	| 1 0 0 0 |
20.79/5.57	| 0 1 0 0 |
20.79/5.57	| 0 0 1 0 |
20.79/5.57	| 0 0 1 0 |
20.79/5.57	 \       /
20.79/5.57	2 is interpreted by
20.79/5.57	 /       \
20.79/5.57	| 1 0 0 0 |
20.79/5.57	| 0 1 0 0 |
20.79/5.57	| 0 0 0 1 |
20.79/5.57	| 0 0 0 0 |
20.79/5.57	 \       /
20.79/5.57	3 is interpreted by
20.79/5.57	 /       \
20.79/5.57	| 1 0 0 0 |
20.79/5.57	| 0 1 0 0 |
20.79/5.57	| 0 0 0 0 |
20.79/5.57	| 0 0 0 0 |
20.79/5.57	 \       /
20.79/5.57	0 is interpreted by
20.79/5.57	 /       \
20.79/5.57	| 1 0 0 0 |
20.79/5.57	| 0 1 0 0 |
20.79/5.57	| 0 0 0 0 |
20.79/5.57	| 0 0 0 0 |
20.79/5.57	 \       /
20.79/5.57	4 is interpreted by
20.79/5.57	 /       \
20.79/5.57	| 1 0 0 0 |
20.79/5.57	| 0 1 0 0 |
20.79/5.57	| 0 0 0 0 |
20.79/5.57	| 0 0 0 0 |
20.79/5.57	 \       /
20.79/5.57	
20.79/5.57	Remains to prove termination of the 55-rule system
20.79/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.79/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.79/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.79/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.79/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.79/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.79/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.79/5.57	  5 5 3 4 -> 1 3 2 3 3 0 0 3 2 4 ,
20.79/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.79/5.57	  2 2 5 3 5 -> 0 1 1 5 3 0 3 3 1 4 ,
20.79/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.79/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.79/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.79/5.57	  0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 ,
20.79/5.57	  0 5 5 0 5 5 -> 2 0 2 2 1 1 0 4 0 5 ,
20.79/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.79/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.79/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.79/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.79/5.57	  2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 ,
20.79/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.79/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.79/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.79/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.79/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.79/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.79/5.57	  5 1 5 0 2 5 -> 5 2 2 5 3 1 4 1 4 4 ,
20.79/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.79/5.57	  5 5 3 4 5 1 -> 2 1 2 0 3 3 1 0 0 5 ,
20.79/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.79/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.79/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.79/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.79/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.79/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.79/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.79/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.79/5.57	  5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 ,
20.79/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.79/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.79/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.79/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.79/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.79/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.79/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.79/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.79/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.79/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.79/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.79/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.79/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.79/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.79/5.57	  5 2 0 2 5 5 ->= 4 3 0 4 1 2 0 0 4 5 ,
20.79/5.57	  5 2 2 4 3 3 4 ->= 0 1 1 4 3 5 3 2 4 4 ,
20.79/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.79/5.57	
20.79/5.57	
20.79/5.57	The system was filtered by the following matrix interpretation
20.79/5.57	of type E_J with J = {1,...,2} and dimension 7:
20.79/5.57	
20.79/5.57	5 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 1 1 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 1 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	1 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 1 1 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	2 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 1 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 1 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	3 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	0 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 1 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	4 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	
20.79/5.57	Remains to prove termination of the 54-rule system
20.79/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.79/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.79/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.79/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.79/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.79/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.79/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.79/5.57	  5 5 3 4 -> 1 3 2 3 3 0 0 3 2 4 ,
20.79/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.79/5.57	  2 2 5 3 5 -> 0 1 1 5 3 0 3 3 1 4 ,
20.79/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.79/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.79/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.79/5.57	  0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 ,
20.79/5.57	  0 5 5 0 5 5 -> 2 0 2 2 1 1 0 4 0 5 ,
20.79/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.79/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.79/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.79/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.79/5.57	  2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 ,
20.79/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.79/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.79/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.79/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.79/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.79/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.79/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.79/5.57	  5 5 3 4 5 1 -> 2 1 2 0 3 3 1 0 0 5 ,
20.79/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.79/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.79/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.79/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.79/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.79/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.79/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.79/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.79/5.57	  5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 ,
20.79/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.79/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.79/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.79/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.79/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.79/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.79/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.79/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.79/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.79/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.79/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.79/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.79/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.79/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.79/5.57	  5 2 0 2 5 5 ->= 4 3 0 4 1 2 0 0 4 5 ,
20.79/5.57	  5 2 2 4 3 3 4 ->= 0 1 1 4 3 5 3 2 4 4 ,
20.79/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.79/5.57	
20.79/5.57	
20.79/5.57	The system was filtered by the following matrix interpretation
20.79/5.57	of type E_J with J = {1,...,2} and dimension 6:
20.79/5.57	
20.79/5.57	5 is interpreted by
20.79/5.57	 /           \
20.79/5.57	| 1 0 1 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 1 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 |
20.79/5.57	 \           /
20.79/5.57	1 is interpreted by
20.79/5.57	 /           \
20.79/5.57	| 1 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 |
20.79/5.57	| 0 0 1 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	 \           /
20.79/5.57	2 is interpreted by
20.79/5.57	 /           \
20.79/5.57	| 1 0 1 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 |
20.79/5.57	| 0 0 0 1 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	 \           /
20.79/5.57	3 is interpreted by
20.79/5.57	 /           \
20.79/5.57	| 1 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 1 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	 \           /
20.79/5.57	0 is interpreted by
20.79/5.57	 /           \
20.79/5.57	| 1 0 1 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	 \           /
20.79/5.57	4 is interpreted by
20.79/5.57	 /           \
20.79/5.57	| 1 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 |
20.79/5.57	 \           /
20.79/5.57	
20.79/5.57	Remains to prove termination of the 53-rule system
20.79/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.79/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.79/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.79/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.79/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.79/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.79/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.79/5.57	  5 5 3 4 -> 1 3 2 3 3 0 0 3 2 4 ,
20.79/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.79/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.79/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.79/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.79/5.57	  0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 ,
20.79/5.57	  0 5 5 0 5 5 -> 2 0 2 2 1 1 0 4 0 5 ,
20.79/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.79/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.79/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.79/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.79/5.57	  2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 ,
20.79/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.79/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.79/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.79/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.79/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.79/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.79/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.79/5.57	  5 5 3 4 5 1 -> 2 1 2 0 3 3 1 0 0 5 ,
20.79/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.79/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.79/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.79/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.79/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.79/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.79/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.79/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.79/5.57	  5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 ,
20.79/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.79/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.79/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.79/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.79/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.79/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.79/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.79/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.79/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.79/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.79/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.79/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.79/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.79/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.79/5.57	  5 2 0 2 5 5 ->= 4 3 0 4 1 2 0 0 4 5 ,
20.79/5.57	  5 2 2 4 3 3 4 ->= 0 1 1 4 3 5 3 2 4 4 ,
20.79/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.79/5.57	
20.79/5.57	
20.79/5.57	The system was filtered by the following matrix interpretation
20.79/5.57	of type E_J with J = {1,...,2} and dimension 7:
20.79/5.57	
20.79/5.57	5 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 1 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 1 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	1 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 1 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 1 |
20.79/5.57	 \             /
20.79/5.57	2 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 1 1 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 1 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	3 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	0 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 1 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	4 is interpreted by
20.79/5.57	 /             \
20.79/5.57	| 1 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 0 0 0 0 0 0 |
20.79/5.57	| 0 1 0 0 0 0 0 |
20.79/5.57	 \             /
20.79/5.57	
20.79/5.57	Remains to prove termination of the 52-rule system
20.79/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.79/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.79/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.79/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.79/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.79/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.79/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.79/5.57	  5 5 3 4 -> 1 3 2 3 3 0 0 3 2 4 ,
20.79/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.79/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.79/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.79/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.79/5.57	  0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 ,
20.79/5.57	  0 5 5 0 5 5 -> 2 0 2 2 1 1 0 4 0 5 ,
20.79/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.79/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.79/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.79/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.79/5.57	  2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 ,
20.79/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.79/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.79/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.79/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.79/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.79/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  5 5 3 4 5 1 -> 2 1 2 0 3 3 1 0 0 5 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.89/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 2 2 4 3 3 4 ->= 0 1 1 4 3 5 3 2 4 4 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 5:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	1 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	2 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	3 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	0 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	4 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 50-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.89/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 ,
20.89/5.57	  0 5 5 0 5 5 -> 2 0 2 2 1 1 0 4 0 5 ,
20.89/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.89/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 2 2 4 3 3 4 ->= 0 1 1 4 3 5 3 2 4 4 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 8:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	1 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	2 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	3 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	0 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	4 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 48-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.89/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 ,
20.89/5.57	  0 5 5 0 5 5 -> 2 0 2 2 1 1 0 4 0 5 ,
20.89/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.89/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 7:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 1 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	1 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 1 |
20.89/5.57	 \             /
20.89/5.57	2 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	3 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	0 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	4 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 47-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.89/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 ,
20.89/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.89/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 7:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	1 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	2 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	3 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	0 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	4 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 46-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.89/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.89/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 7:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	1 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	2 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	3 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	0 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	4 is interpreted by
20.89/5.57	 /             \
20.89/5.57	| 1 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 |
20.89/5.57	 \             /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 45-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.89/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 ,
20.89/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 8:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	1 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 1 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	2 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	3 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	0 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	4 is interpreted by
20.89/5.57	 /               \
20.89/5.57	| 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 |
20.89/5.57	 \               /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 44-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.89/5.57	  0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 5:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 1 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	1 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 |
20.89/5.57	 \         /
20.89/5.57	2 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	3 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	0 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	4 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 42-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 15:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /                             \
20.89/5.57	| 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	 \                             /
20.89/5.57	1 is interpreted by
20.89/5.57	 /                             \
20.89/5.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.89/5.57	 \                             /
20.89/5.57	2 is interpreted by
20.89/5.57	 /                             \
20.89/5.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	 \                             /
20.89/5.57	3 is interpreted by
20.89/5.57	 /                             \
20.89/5.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	 \                             /
20.89/5.57	0 is interpreted by
20.89/5.57	 /                             \
20.89/5.57	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	 \                             /
20.89/5.57	4 is interpreted by
20.89/5.57	 /                             \
20.89/5.57	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.57	 \                             /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 41-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 5 5 -> 1 0 1 3 3 0 1 2 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 4:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /       \
20.89/5.57	| 1 0 1 0 |
20.89/5.57	| 0 1 0 0 |
20.89/5.57	| 0 0 0 1 |
20.89/5.57	| 0 1 0 0 |
20.89/5.57	 \       /
20.89/5.57	1 is interpreted by
20.89/5.57	 /       \
20.89/5.57	| 1 0 0 0 |
20.89/5.57	| 0 1 0 0 |
20.89/5.57	| 0 0 1 0 |
20.89/5.57	| 0 0 0 1 |
20.89/5.57	 \       /
20.89/5.57	2 is interpreted by
20.89/5.57	 /       \
20.89/5.57	| 1 0 0 0 |
20.89/5.57	| 0 1 0 0 |
20.89/5.57	| 0 0 1 0 |
20.89/5.57	| 0 0 0 0 |
20.89/5.57	 \       /
20.89/5.57	3 is interpreted by
20.89/5.57	 /       \
20.89/5.57	| 1 0 0 0 |
20.89/5.57	| 0 1 0 0 |
20.89/5.57	| 0 0 0 0 |
20.89/5.57	| 0 0 0 0 |
20.89/5.57	 \       /
20.89/5.57	0 is interpreted by
20.89/5.57	 /       \
20.89/5.57	| 1 0 1 0 |
20.89/5.57	| 0 1 0 0 |
20.89/5.57	| 0 0 0 0 |
20.89/5.57	| 0 0 0 0 |
20.89/5.57	 \       /
20.89/5.57	4 is interpreted by
20.89/5.57	 /       \
20.89/5.57	| 1 0 0 0 |
20.89/5.57	| 0 1 0 0 |
20.89/5.57	| 0 0 0 0 |
20.89/5.57	| 0 1 0 0 |
20.89/5.57	 \       /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 37-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 5:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	1 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	2 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	3 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	0 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	4 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 36-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 6:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /           \
20.89/5.57	| 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 1 |
20.89/5.57	| 0 1 0 0 0 0 |
20.89/5.57	 \           /
20.89/5.57	1 is interpreted by
20.89/5.57	 /           \
20.89/5.57	| 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 1 |
20.89/5.57	 \           /
20.89/5.57	2 is interpreted by
20.89/5.57	 /           \
20.89/5.57	| 1 0 1 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	 \           /
20.89/5.57	3 is interpreted by
20.89/5.57	 /           \
20.89/5.57	| 1 0 1 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	 \           /
20.89/5.57	0 is interpreted by
20.89/5.57	 /           \
20.89/5.57	| 1 0 1 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	 \           /
20.89/5.57	4 is interpreted by
20.89/5.57	 /           \
20.89/5.57	| 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 |
20.89/5.57	| 0 0 0 1 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 |
20.89/5.57	 \           /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 35-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 4 2 4 ->= 0 1 3 4 3 1 4 3 5 4 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 5:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	1 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	2 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 1 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	3 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	0 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 1 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	4 is interpreted by
20.89/5.57	 /         \
20.89/5.57	| 1 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	| 0 0 0 1 0 |
20.89/5.57	| 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 |
20.89/5.57	 \         /
20.89/5.57	
20.89/5.57	Remains to prove termination of the 33-rule system
20.89/5.57	{ 5 5 -> 1 1 2 3 3 2 3 0 4 4 ,
20.89/5.57	  1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.57	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.57	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.57	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.57	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.57	  1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 ,
20.89/5.57	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.57	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.57	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.57	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.57	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.57	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.57	  5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 ,
20.89/5.57	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.57	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.57	  2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 ,
20.89/5.57	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.57	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.57	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.57	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.57	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.57	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.57	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.57	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.57	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.57	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.57	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.57	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.57	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.57	  3 5 4 5 5 ->= 0 0 1 0 0 0 2 3 0 5 ,
20.89/5.57	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 ,
20.89/5.57	  5 4 5 4 5 2 1 ->= 5 5 0 0 3 3 3 2 1 5 }
20.89/5.57	
20.89/5.57	
20.89/5.57	The system was filtered by the following matrix interpretation
20.89/5.57	of type E_J with J = {1,...,2} and dimension 9:
20.89/5.57	
20.89/5.57	5 is interpreted by
20.89/5.57	 /                 \
20.89/5.57	| 1 0 1 1 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 1 0 0 0 0 0 0 0 |
20.89/5.57	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                 /
20.89/5.58	1 is interpreted by
20.89/5.58	 /                 \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 1 0 0 0 0 0 0 |
20.89/5.58	 \                 /
20.89/5.58	2 is interpreted by
20.89/5.58	 /                 \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                 /
20.89/5.58	3 is interpreted by
20.89/5.58	 /                 \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                 /
20.89/5.58	0 is interpreted by
20.89/5.58	 /                 \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                 /
20.89/5.58	4 is interpreted by
20.89/5.58	 /                 \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                 /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 27-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.58	  4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.58	  2 5 2 4 ->= 2 4 3 3 4 2 2 3 2 4 ,
20.89/5.58	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 5:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	1 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 1 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	2 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 1 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	3 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	0 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 1 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	4 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 25-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.58	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 7:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	1 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	2 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	3 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	0 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	4 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 24-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  0 5 0 2 ->= 0 0 2 2 0 4 3 5 0 2 ,
20.89/5.58	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 5:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	1 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 1 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	2 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 1 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	3 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	0 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 1 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	4 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 22-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  5 0 0 2 ->= 1 1 4 4 3 0 1 3 2 0 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 5:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 1 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	1 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	2 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	3 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	0 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	4 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 21-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 13:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /                         \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                         /
20.89/5.58	1 is interpreted by
20.89/5.58	 /                         \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                         /
20.89/5.58	2 is interpreted by
20.89/5.58	 /                         \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                         /
20.89/5.58	3 is interpreted by
20.89/5.58	 /                         \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                         /
20.89/5.58	0 is interpreted by
20.89/5.58	 /                         \
20.89/5.58	| 1 0 0 0 0 0 0 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                         /
20.89/5.58	4 is interpreted by
20.89/5.58	 /                         \
20.89/5.58	| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                         /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 20-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 18:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /                                   \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                                   /
20.89/5.58	1 is interpreted by
20.89/5.58	 /                                   \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                                   /
20.89/5.58	2 is interpreted by
20.89/5.58	 /                                   \
20.89/5.58	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                                   /
20.89/5.58	3 is interpreted by
20.89/5.58	 /                                   \
20.89/5.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                                   /
20.89/5.58	0 is interpreted by
20.89/5.58	 /                                   \
20.89/5.58	| 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                                   /
20.89/5.58	4 is interpreted by
20.89/5.58	 /                                   \
20.89/5.58	| 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
20.89/5.58	 \                                   /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 19-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 8:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 1 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	1 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	2 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	3 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	0 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 |
20.89/5.58	 \               /
20.89/5.58	4 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 18-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 8:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	1 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	2 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	3 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	0 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	4 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 17-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 8:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 1 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	1 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 1 |
20.89/5.58	 \               /
20.89/5.58	2 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	3 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	0 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	4 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 16-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 ,
20.89/5.58	  4 1 0 2 3 ->= 3 3 1 4 1 3 1 0 2 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 6:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	1 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	2 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	3 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	0 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 |
20.89/5.58	 \           /
20.89/5.58	4 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 1 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 15-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 7:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	1 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 |
20.89/5.58	 \             /
20.89/5.58	2 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	3 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	0 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	4 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 14-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  0 5 0 ->= 1 1 2 1 2 3 0 4 5 0 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 4:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 1 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	 \       /
20.89/5.58	1 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 0 0 1 |
20.89/5.58	 \       /
20.89/5.58	2 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	 \       /
20.89/5.58	3 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	0 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 1 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	 \       /
20.89/5.58	4 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 12-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 8:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	1 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 0 0 1 |
20.89/5.58	 \               /
20.89/5.58	2 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	3 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	0 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	4 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 11-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 7:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	1 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 |
20.89/5.58	 \             /
20.89/5.58	2 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 |
20.89/5.58	 \             /
20.89/5.58	3 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	0 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	4 is interpreted by
20.89/5.58	 /             \
20.89/5.58	| 1 0 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 0 0 |
20.89/5.58	 \             /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 10-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 8:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	1 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 1 |
20.89/5.58	 \               /
20.89/5.58	2 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	3 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	0 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 1 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	4 is interpreted by
20.89/5.58	 /               \
20.89/5.58	| 1 0 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 0 0 |
20.89/5.58	 \               /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 9-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  4 3 2 ->= 4 2 2 1 1 3 0 3 3 2 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 4:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	1 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	2 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	 \       /
20.89/5.58	3 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 1 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	0 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	4 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 1 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 8-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  5 3 0 ->= 0 4 3 5 1 0 3 5 0 1 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 4:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 1 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	 \       /
20.89/5.58	1 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	 \       /
20.89/5.58	2 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	 \       /
20.89/5.58	3 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 1 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	0 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	 \       /
20.89/5.58	4 is interpreted by
20.89/5.58	 /       \
20.89/5.58	| 1 0 0 0 |
20.89/5.58	| 0 1 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	| 0 0 0 0 |
20.89/5.58	 \       /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 7-rule system
20.89/5.58	{ 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 ,
20.89/5.58	  5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 ,
20.89/5.58	  2 5 2 0 0 ->= 0 0 0 2 0 4 4 2 0 0 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 2:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /   \
20.89/5.58	| 1 1 |
20.89/5.58	| 0 1 |
20.89/5.58	 \   /
20.89/5.58	1 is interpreted by
20.89/5.58	 /   \
20.89/5.58	| 1 0 |
20.89/5.58	| 0 1 |
20.89/5.58	 \   /
20.89/5.58	2 is interpreted by
20.89/5.58	 /   \
20.89/5.58	| 1 0 |
20.89/5.58	| 0 1 |
20.89/5.58	 \   /
20.89/5.58	3 is interpreted by
20.89/5.58	 /   \
20.89/5.58	| 1 0 |
20.89/5.58	| 0 1 |
20.89/5.58	 \   /
20.89/5.58	0 is interpreted by
20.89/5.58	 /   \
20.89/5.58	| 1 0 |
20.89/5.58	| 0 1 |
20.89/5.58	 \   /
20.89/5.58	4 is interpreted by
20.89/5.58	 /   \
20.89/5.58	| 1 0 |
20.89/5.58	| 0 1 |
20.89/5.58	 \   /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 4-rule system
20.89/5.58	{ 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 ,
20.89/5.58	  3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 5:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 1 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	1 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	2 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	3 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	0 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	4 is interpreted by
20.89/5.58	 /         \
20.89/5.58	| 1 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 |
20.89/5.58	| 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 |
20.89/5.58	 \         /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 3-rule system
20.89/5.58	{ 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 ,
20.89/5.58	  0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system was filtered by the following matrix interpretation
20.89/5.58	of type E_J with J = {1,...,2} and dimension 6:
20.89/5.58	
20.89/5.58	5 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 1 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	1 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	2 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 1 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	3 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 1 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 1 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	0 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	4 is interpreted by
20.89/5.58	 /           \
20.89/5.58	| 1 0 0 0 0 0 |
20.89/5.58	| 0 1 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	| 0 0 0 0 0 1 |
20.89/5.58	| 0 0 0 0 0 0 |
20.89/5.58	 \           /
20.89/5.58	
20.89/5.58	Remains to prove termination of the 2-rule system
20.89/5.58	{ 0 ->= 0 1 2 1 2 3 0 4 1 1 ,
20.89/5.58	  2 2 ->= 2 2 3 1 2 1 3 2 3 3 }
20.89/5.58	
20.89/5.58	
20.89/5.58	The system is trivially terminating.
20.89/5.62	EOF