2.28/0.82	YES
2.51/0.90	
2.51/0.90	
2.51/0.90	
2.51/0.90	
2.51/0.90	The system was filtered by the following matrix interpretation
2.51/0.90	of type E_J with J = {1,...,2} and dimension 2:
2.51/0.90	
2.51/0.90	0 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 2 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	1 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 1 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	2 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 2 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	3 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 3 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	4 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	5 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	
2.51/0.90	Remains to prove termination of the 5-rule system
2.51/0.90	{ 0 4 3 0 5 4 2 0 0 3 3 1 4 2 4 4 -> 0 4 3 3 0 2 3 2 4 5 4 0 0 1 4 4 ,
2.51/0.90	  1 1 4 5 3 4 1 4 3 5 0 5 0 1 2 4 -> 1 2 4 5 5 2 0 1 2 5 1 5 1 5 0 0 ,
2.51/0.90	  2 3 2 2 1 0 4 2 3 1 4 4 5 2 1 1 -> 2 5 0 5 1 4 3 0 5 0 4 2 0 2 2 2 ,
2.51/0.90	  3 5 0 1 5 4 2 0 3 1 0 4 3 0 4 2 -> 3 2 3 1 5 4 3 3 5 5 5 5 5 3 2 3 ,
2.51/0.90	  4 3 1 2 5 3 5 3 5 2 1 3 2 0 4 0 -> 4 4 5 1 2 3 5 3 3 3 5 1 3 1 0 0 }
2.51/0.90	
2.51/0.90	
2.51/0.90	The system was filtered by the following matrix interpretation
2.51/0.90	of type E_J with J = {1,...,2} and dimension 2:
2.51/0.90	
2.51/0.90	0 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	1 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	2 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	3 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	4 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 1 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	5 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	
2.51/0.90	Remains to prove termination of the 2-rule system
2.51/0.90	{ 0 4 3 0 5 4 2 0 0 3 3 1 4 2 4 4 -> 0 4 3 3 0 2 3 2 4 5 4 0 0 1 4 4 ,
2.51/0.90	  4 3 1 2 5 3 5 3 5 2 1 3 2 0 4 0 -> 4 4 5 1 2 3 5 3 3 3 5 1 3 1 0 0 }
2.51/0.90	
2.51/0.90	
2.51/0.90	The system was filtered by the following matrix interpretation
2.51/0.90	of type E_J with J = {1,...,2} and dimension 2:
2.51/0.90	
2.51/0.90	0 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	1 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	2 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 1 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	3 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	4 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	5 is interpreted by
2.51/0.90	 /   \
2.51/0.90	| 1 0 |
2.51/0.90	| 0 1 |
2.51/0.90	 \   /
2.51/0.90	
2.51/0.90	Remains to prove termination of the 1-rule system
2.51/0.90	{ 0 4 3 0 5 4 2 0 0 3 3 1 4 2 4 4 -> 0 4 3 3 0 2 3 2 4 5 4 0 0 1 4 4 }
2.51/0.90	
2.51/0.90	
2.51/0.90	The system was filtered by the following matrix interpretation
2.51/0.90	of type E_J with J = {1,...,2} and dimension 17:
2.51/0.90	
2.51/0.90	0 is interpreted by
2.51/0.90	 /                                 \
2.51/0.90	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	 \                                 /
2.51/0.90	1 is interpreted by
2.51/0.90	 /                                 \
2.51/0.90	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	 \                                 /
2.51/0.90	2 is interpreted by
2.51/0.90	 /                                 \
2.51/0.90	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	 \                                 /
2.51/0.90	3 is interpreted by
2.51/0.90	 /                                 \
2.51/0.90	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	 \                                 /
2.51/0.90	4 is interpreted by
2.51/0.90	 /                                 \
2.51/0.90	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
2.51/0.90	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	 \                                 /
2.51/0.90	5 is interpreted by
2.51/0.90	 /                                 \
2.51/0.90	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.51/0.90	 \                                 /
2.51/0.90	
2.51/0.90	Remains to prove termination of the 0-rule system
2.51/0.90	{ }
2.51/0.90	
2.51/0.90	
2.51/0.90	The system is trivially terminating.
6.99/4.53	EOF