17.07/4.54	YES
17.07/4.56	
17.07/4.56	
17.07/4.56	The system was filtered by the following matrix interpretation
17.07/4.56	of type E_J with J = {1,...,2} and dimension 3:
17.07/4.56	
17.07/4.56	2 is interpreted by
17.07/4.56	 /     \
17.07/4.56	| 1 0 1 |
17.07/4.56	| 0 1 0 |
17.07/4.56	| 0 0 0 |
17.07/4.56	 \     /
17.07/4.56	5 is interpreted by
17.07/4.56	 /     \
17.07/4.56	| 1 0 1 |
17.07/4.56	| 0 1 0 |
17.07/4.56	| 0 1 0 |
17.07/4.56	 \     /
17.07/4.56	1 is interpreted by
17.07/4.56	 /     \
17.07/4.56	| 1 0 0 |
17.07/4.56	| 0 1 0 |
17.07/4.56	| 0 0 1 |
17.07/4.56	 \     /
17.07/4.56	3 is interpreted by
17.07/4.56	 /     \
17.07/4.56	| 1 0 1 |
17.07/4.56	| 0 1 0 |
17.07/4.56	| 0 0 0 |
17.07/4.56	 \     /
17.07/4.56	0 is interpreted by
17.07/4.56	 /     \
17.07/4.56	| 1 0 0 |
17.07/4.56	| 0 1 0 |
17.07/4.56	| 0 0 0 |
17.07/4.56	 \     /
17.07/4.56	4 is interpreted by
17.07/4.56	 /     \
17.07/4.56	| 1 0 1 |
17.07/4.56	| 0 1 0 |
17.07/4.56	| 0 0 0 |
17.07/4.56	 \     /
17.07/4.56	
17.07/4.56	Remains to prove termination of the 25-rule system
17.07/4.56	{ 3 4 2 -> 3 4 0 2 2 2 ,
17.07/4.56	  ->= 0 1 0 2 0 1 ,
17.07/4.56	  2 ->= 2 2 2 2 3 2 ,
17.07/4.56	  3 ->= 2 3 0 3 0 1 ,
17.07/4.56	  4 ->= 0 1 0 4 3 2 ,
17.07/4.56	  5 ->= 1 0 1 0 1 3 ,
17.07/4.56	  1 2 ->= 1 3 3 0 1 3 ,
17.07/4.56	  1 2 ->= 2 3 0 5 3 3 ,
17.07/4.56	  3 2 ->= 3 2 3 0 5 2 ,
17.07/4.56	  3 2 ->= 3 2 3 1 0 5 ,
17.07/4.56	  3 2 ->= 3 2 3 1 3 3 ,
17.07/4.56	  4 2 ->= 4 1 2 4 0 1 ,
17.07/4.56	  4 3 ->= 4 2 3 2 3 0 ,
17.07/4.56	  5 2 ->= 1 0 2 2 0 5 ,
17.07/4.56	  5 2 ->= 5 2 2 2 2 3 ,
17.07/4.56	  0 0 4 ->= 3 1 4 0 1 0 ,
17.07/4.56	  0 3 4 ->= 0 2 3 3 2 3 ,
17.07/4.56	  1 4 0 ->= 2 3 0 0 1 0 ,
17.07/4.56	  1 4 2 ->= 1 1 0 5 3 3 ,
17.07/4.56	  1 4 3 ->= 2 3 1 3 3 3 ,
17.07/4.56	  2 5 3 ->= 2 5 2 3 0 2 ,
17.07/4.56	  3 2 5 ->= 0 5 3 2 2 5 ,
17.07/4.56	  3 3 4 ->= 2 2 3 0 3 4 ,
17.07/4.56	  5 4 0 ->= 5 0 0 2 2 0 ,
17.07/4.56	  5 4 2 ->= 5 4 1 3 2 3 }
17.07/4.56	
17.07/4.56	
17.07/4.56	The system was filtered by the following matrix interpretation
17.07/4.56	of type E_J with J = {1,...,2} and dimension 5:
17.07/4.56	
17.07/4.56	2 is interpreted by
17.07/4.56	 /         \
17.07/4.56	| 1 0 0 0 0 |
17.07/4.56	| 0 1 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	 \         /
17.07/4.56	5 is interpreted by
17.07/4.56	 /         \
17.07/4.56	| 1 0 0 0 0 |
17.07/4.56	| 0 1 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	 \         /
17.07/4.56	1 is interpreted by
17.07/4.56	 /         \
17.07/4.56	| 1 0 0 0 0 |
17.07/4.56	| 0 1 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	 \         /
17.07/4.56	3 is interpreted by
17.07/4.56	 /         \
17.07/4.56	| 1 0 0 0 0 |
17.07/4.56	| 0 1 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 1 0 0 |
17.07/4.56	 \         /
17.07/4.56	0 is interpreted by
17.07/4.56	 /         \
17.07/4.56	| 1 0 1 0 0 |
17.07/4.56	| 0 1 0 0 0 |
17.07/4.56	| 0 0 0 1 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	 \         /
17.07/4.56	4 is interpreted by
17.07/4.56	 /         \
17.07/4.56	| 1 0 1 0 1 |
17.07/4.56	| 0 1 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	| 0 1 0 0 0 |
17.07/4.56	| 0 0 0 0 0 |
17.07/4.56	 \         /
17.07/4.56	
17.07/4.56	Remains to prove termination of the 24-rule system
17.07/4.56	{ 3 4 2 -> 3 4 0 2 2 2 ,
17.07/4.56	  ->= 0 1 0 2 0 1 ,
17.07/4.56	  2 ->= 2 2 2 2 3 2 ,
17.07/4.56	  3 ->= 2 3 0 3 0 1 ,
17.07/4.56	  4 ->= 0 1 0 4 3 2 ,
17.07/4.56	  5 ->= 1 0 1 0 1 3 ,
17.07/4.56	  1 2 ->= 1 3 3 0 1 3 ,
17.07/4.56	  1 2 ->= 2 3 0 5 3 3 ,
17.07/4.56	  3 2 ->= 3 2 3 0 5 2 ,
17.07/4.56	  3 2 ->= 3 2 3 1 0 5 ,
17.07/4.56	  3 2 ->= 3 2 3 1 3 3 ,
17.07/4.56	  4 2 ->= 4 1 2 4 0 1 ,
17.07/4.56	  4 3 ->= 4 2 3 2 3 0 ,
17.07/4.56	  5 2 ->= 1 0 2 2 0 5 ,
17.07/4.56	  5 2 ->= 5 2 2 2 2 3 ,
17.07/4.56	  0 3 4 ->= 0 2 3 3 2 3 ,
17.07/4.56	  1 4 0 ->= 2 3 0 0 1 0 ,
17.07/4.56	  1 4 2 ->= 1 1 0 5 3 3 ,
17.07/4.56	  1 4 3 ->= 2 3 1 3 3 3 ,
17.07/4.56	  2 5 3 ->= 2 5 2 3 0 2 ,
17.07/4.56	  3 2 5 ->= 0 5 3 2 2 5 ,
17.07/4.56	  3 3 4 ->= 2 2 3 0 3 4 ,
17.07/4.56	  5 4 0 ->= 5 0 0 2 2 0 ,
17.07/4.56	  5 4 2 ->= 5 4 1 3 2 3 }
17.07/4.56	
17.07/4.56	
17.07/4.56	The system was filtered by the following matrix interpretation
17.07/4.56	of type E_J with J = {1,...,2} and dimension 4:
17.07/4.56	
17.07/4.56	2 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 1 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	 \       /
17.07/4.56	5 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 1 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	 \       /
17.07/4.56	1 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	 \       /
17.07/4.56	3 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 1 1 0 |
17.07/4.56	 \       /
17.07/4.56	0 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	 \       /
17.07/4.56	4 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 1 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	 \       /
17.07/4.56	
17.07/4.56	Remains to prove termination of the 23-rule system
17.07/4.56	{ 3 4 2 -> 3 4 0 2 2 2 ,
17.07/4.56	  ->= 0 1 0 2 0 1 ,
17.07/4.56	  2 ->= 2 2 2 2 3 2 ,
17.07/4.56	  3 ->= 2 3 0 3 0 1 ,
17.07/4.56	  4 ->= 0 1 0 4 3 2 ,
17.07/4.56	  5 ->= 1 0 1 0 1 3 ,
17.07/4.56	  1 2 ->= 1 3 3 0 1 3 ,
17.07/4.56	  1 2 ->= 2 3 0 5 3 3 ,
17.07/4.56	  3 2 ->= 3 2 3 0 5 2 ,
17.07/4.56	  3 2 ->= 3 2 3 1 0 5 ,
17.07/4.56	  3 2 ->= 3 2 3 1 3 3 ,
17.07/4.56	  4 2 ->= 4 1 2 4 0 1 ,
17.07/4.56	  4 3 ->= 4 2 3 2 3 0 ,
17.07/4.56	  5 2 ->= 1 0 2 2 0 5 ,
17.07/4.56	  5 2 ->= 5 2 2 2 2 3 ,
17.07/4.56	  0 3 4 ->= 0 2 3 3 2 3 ,
17.07/4.56	  1 4 0 ->= 2 3 0 0 1 0 ,
17.07/4.56	  1 4 2 ->= 1 1 0 5 3 3 ,
17.07/4.56	  1 4 3 ->= 2 3 1 3 3 3 ,
17.07/4.56	  3 2 5 ->= 0 5 3 2 2 5 ,
17.07/4.56	  3 3 4 ->= 2 2 3 0 3 4 ,
17.07/4.56	  5 4 0 ->= 5 0 0 2 2 0 ,
17.07/4.56	  5 4 2 ->= 5 4 1 3 2 3 }
17.07/4.56	
17.07/4.56	
17.07/4.56	The system was filtered by the following matrix interpretation
17.07/4.56	of type E_J with J = {1,...,2} and dimension 4:
17.07/4.56	
17.07/4.56	2 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 1 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	 \       /
17.07/4.56	5 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 1 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	 \       /
17.07/4.56	1 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	 \       /
17.07/4.56	3 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 1 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	 \       /
17.07/4.56	0 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 0 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	 \       /
17.07/4.56	4 is interpreted by
17.07/4.56	 /       \
17.07/4.56	| 1 0 1 0 |
17.07/4.56	| 0 1 0 0 |
17.07/4.56	| 0 0 0 1 |
17.07/4.56	| 0 0 0 0 |
17.07/4.56	 \       /
17.07/4.56	
17.07/4.56	Remains to prove termination of the 22-rule system
17.07/4.56	{ ->= 0 1 0 2 0 1 ,
17.07/4.56	  2 ->= 2 2 2 2 3 2 ,
17.07/4.56	  3 ->= 2 3 0 3 0 1 ,
17.07/4.56	  4 ->= 0 1 0 4 3 2 ,
17.07/4.56	  5 ->= 1 0 1 0 1 3 ,
17.07/4.56	  1 2 ->= 1 3 3 0 1 3 ,
17.07/4.56	  1 2 ->= 2 3 0 5 3 3 ,
17.07/4.56	  3 2 ->= 3 2 3 0 5 2 ,
17.07/4.56	  3 2 ->= 3 2 3 1 0 5 ,
17.07/4.56	  3 2 ->= 3 2 3 1 3 3 ,
17.07/4.56	  4 2 ->= 4 1 2 4 0 1 ,
17.07/4.56	  4 3 ->= 4 2 3 2 3 0 ,
17.07/4.56	  5 2 ->= 1 0 2 2 0 5 ,
17.07/4.56	  5 2 ->= 5 2 2 2 2 3 ,
17.07/4.56	  0 3 4 ->= 0 2 3 3 2 3 ,
17.07/4.56	  1 4 0 ->= 2 3 0 0 1 0 ,
17.07/4.56	  1 4 2 ->= 1 1 0 5 3 3 ,
17.07/4.56	  1 4 3 ->= 2 3 1 3 3 3 ,
17.07/4.56	  3 2 5 ->= 0 5 3 2 2 5 ,
17.07/4.56	  3 3 4 ->= 2 2 3 0 3 4 ,
17.07/4.56	  5 4 0 ->= 5 0 0 2 2 0 ,
17.07/4.56	  5 4 2 ->= 5 4 1 3 2 3 }
17.07/4.56	
17.07/4.56	
17.07/4.56	The system is trivially terminating.
17.29/4.66	EOF