2.72/0.96	YES
3.12/1.00	
3.12/1.00	
3.12/1.00	The system was filtered by the following matrix interpretation
3.12/1.00	of type E_J with J = {1,...,2} and dimension 5:
3.12/1.00	
3.12/1.00	2 is interpreted by
3.12/1.00	 /         \
3.12/1.00	| 1 0 0 0 0 |
3.12/1.00	| 0 1 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	 \         /
3.12/1.00	5 is interpreted by
3.12/1.00	 /         \
3.12/1.00	| 1 0 1 0 0 |
3.12/1.00	| 0 1 0 0 0 |
3.12/1.00	| 0 0 0 1 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	| 0 1 0 0 0 |
3.12/1.00	 \         /
3.12/1.00	1 is interpreted by
3.12/1.00	 /         \
3.12/1.00	| 1 0 0 0 0 |
3.12/1.00	| 0 1 0 0 0 |
3.12/1.00	| 0 0 1 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	 \         /
3.12/1.00	3 is interpreted by
3.12/1.00	 /         \
3.12/1.00	| 1 0 0 0 0 |
3.12/1.00	| 0 1 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	| 0 1 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	 \         /
3.12/1.00	0 is interpreted by
3.12/1.00	 /         \
3.12/1.00	| 1 0 0 0 0 |
3.12/1.00	| 0 1 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	 \         /
3.12/1.00	4 is interpreted by
3.12/1.00	 /         \
3.12/1.00	| 1 0 0 0 0 |
3.12/1.00	| 0 1 0 0 0 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	| 0 0 0 0 1 |
3.12/1.00	| 0 0 0 0 0 |
3.12/1.00	 \         /
3.12/1.00	
3.12/1.00	Remains to prove termination of the 33-rule system
3.12/1.00	{ 2 5 -> 1 3 3 0 1 0 ,
3.12/1.00	  2 5 -> 2 2 0 5 0 1 ,
3.12/1.00	  3 5 -> 1 3 2 0 0 1 ,
3.12/1.00	  3 5 -> 3 2 0 5 3 0 ,
3.12/1.00	  4 5 -> 2 2 1 3 2 1 ,
3.12/1.00	  4 5 -> 3 2 0 5 0 0 ,
3.12/1.00	  1 2 5 -> 1 0 5 0 5 4 ,
3.12/1.00	  1 2 5 -> 1 2 2 1 0 1 ,
3.12/1.00	  1 2 5 -> 2 0 1 3 1 0 ,
3.12/1.00	  1 4 5 -> 1 2 4 0 2 1 ,
3.12/1.00	  2 5 1 -> 2 2 2 1 2 3 ,
3.12/1.00	  2 5 2 -> 4 0 2 2 3 3 ,
3.12/1.00	  2 5 3 -> 2 0 4 1 3 3 ,
3.12/1.00	  2 5 4 -> 2 0 5 1 0 1 ,
3.12/1.00	  3 2 5 -> 3 2 0 1 0 5 ,
3.12/1.00	  3 4 2 -> 3 4 0 2 2 2 ,
3.12/1.00	  3 5 1 -> 0 4 2 0 0 5 ,
3.12/1.00	  3 5 1 -> 0 4 2 2 3 4 ,
3.12/1.00	  3 5 1 -> 2 1 4 1 0 1 ,
3.12/1.00	  3 5 2 -> 0 4 3 2 2 2 ,
3.12/1.00	  3 5 2 -> 2 0 2 2 3 0 ,
3.12/1.00	  3 5 2 -> 2 3 3 2 1 2 ,
3.12/1.00	  3 5 3 -> 0 2 4 3 3 0 ,
3.12/1.00	  3 5 3 -> 0 5 4 3 3 0 ,
3.12/1.00	  3 5 3 -> 2 3 4 0 4 2 ,
3.12/1.00	  3 5 4 -> 0 2 0 5 0 0 ,
3.12/1.00	  3 5 4 -> 0 5 0 0 1 2 ,
3.12/1.00	  3 5 5 -> 0 5 4 1 0 5 ,
3.12/1.00	  4 5 1 -> 2 1 0 5 3 3 ,
3.12/1.00	  4 5 2 -> 0 5 1 0 0 4 ,
3.12/1.00	  4 5 4 -> 2 2 1 0 4 2 ,
3.12/1.00	  4 5 4 -> 3 2 0 3 2 0 ,
3.12/1.00	  5 5 4 -> 5 1 0 4 2 2 }
3.12/1.00	
3.12/1.00	
3.12/1.00	The system was filtered by the following matrix interpretation
3.12/1.00	of type E_J with J = {1,...,2} and dimension 4:
3.12/1.00	
3.12/1.00	2 is interpreted by
3.12/1.00	 /       \
3.12/1.00	| 1 0 0 0 |
3.12/1.00	| 0 1 0 0 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	| 0 0 1 0 |
3.12/1.00	 \       /
3.12/1.00	5 is interpreted by
3.12/1.00	 /       \
3.12/1.00	| 1 0 1 0 |
3.12/1.00	| 0 1 0 0 |
3.12/1.00	| 0 1 0 1 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	 \       /
3.12/1.00	1 is interpreted by
3.12/1.00	 /       \
3.12/1.00	| 1 0 1 0 |
3.12/1.00	| 0 1 0 0 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	 \       /
3.12/1.00	3 is interpreted by
3.12/1.00	 /       \
3.12/1.00	| 1 0 0 0 |
3.12/1.00	| 0 1 0 0 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	 \       /
3.12/1.00	0 is interpreted by
3.12/1.00	 /       \
3.12/1.00	| 1 0 0 0 |
3.12/1.00	| 0 1 0 0 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	 \       /
3.12/1.00	4 is interpreted by
3.12/1.00	 /       \
3.12/1.00	| 1 0 1 0 |
3.12/1.00	| 0 1 0 0 |
3.12/1.00	| 0 0 0 0 |
3.12/1.00	| 0 1 0 0 |
3.12/1.00	 \       /
3.12/1.00	
3.12/1.00	Remains to prove termination of the 24-rule system
3.12/1.00	{ 2 5 -> 1 3 3 0 1 0 ,
3.12/1.00	  2 5 -> 2 2 0 5 0 1 ,
3.12/1.00	  3 5 -> 1 3 2 0 0 1 ,
3.12/1.00	  3 5 -> 3 2 0 5 3 0 ,
3.12/1.00	  1 2 5 -> 1 0 5 0 5 4 ,
3.12/1.00	  1 2 5 -> 1 2 2 1 0 1 ,
3.12/1.00	  1 2 5 -> 2 0 1 3 1 0 ,
3.12/1.00	  2 5 1 -> 2 2 2 1 2 3 ,
3.12/1.00	  2 5 2 -> 4 0 2 2 3 3 ,
3.12/1.00	  2 5 3 -> 2 0 4 1 3 3 ,
3.12/1.00	  2 5 4 -> 2 0 5 1 0 1 ,
3.12/1.00	  3 2 5 -> 3 2 0 1 0 5 ,
3.12/1.00	  3 4 2 -> 3 4 0 2 2 2 ,
3.12/1.00	  3 5 1 -> 0 4 2 0 0 5 ,
3.12/1.00	  3 5 1 -> 0 4 2 2 3 4 ,
3.12/1.00	  3 5 1 -> 2 1 4 1 0 1 ,
3.12/1.00	  3 5 2 -> 0 4 3 2 2 2 ,
3.12/1.00	  3 5 2 -> 2 0 2 2 3 0 ,
3.12/1.00	  3 5 2 -> 2 3 3 2 1 2 ,
3.12/1.00	  3 5 3 -> 0 2 4 3 3 0 ,
3.12/1.00	  3 5 3 -> 0 5 4 3 3 0 ,
3.12/1.00	  3 5 3 -> 2 3 4 0 4 2 ,
3.12/1.00	  3 5 4 -> 0 2 0 5 0 0 ,
3.12/1.00	  3 5 4 -> 0 5 0 0 1 2 }
3.12/1.00	
3.12/1.00	
3.12/1.00	The system was filtered by the following matrix interpretation
3.12/1.00	of type E_J with J = {1,...,2} and dimension 4:
3.19/1.00	
3.19/1.00	2 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 1 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	 \       /
3.19/1.00	5 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 1 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	 \       /
3.19/1.00	1 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 0 1 0 |
3.19/1.00	 \       /
3.19/1.00	3 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 1 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	 \       /
3.19/1.00	0 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	 \       /
3.19/1.00	4 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 0 1 0 |
3.19/1.00	 \       /
3.19/1.00	
3.19/1.00	Remains to prove termination of the 20-rule system
3.19/1.00	{ 2 5 -> 1 3 3 0 1 0 ,
3.19/1.00	  2 5 -> 2 2 0 5 0 1 ,
3.19/1.00	  3 5 -> 1 3 2 0 0 1 ,
3.19/1.00	  3 5 -> 3 2 0 5 3 0 ,
3.19/1.00	  1 2 5 -> 1 0 5 0 5 4 ,
3.19/1.00	  1 2 5 -> 1 2 2 1 0 1 ,
3.19/1.00	  1 2 5 -> 2 0 1 3 1 0 ,
3.19/1.00	  2 5 1 -> 2 2 2 1 2 3 ,
3.19/1.00	  2 5 2 -> 4 0 2 2 3 3 ,
3.19/1.00	  2 5 4 -> 2 0 5 1 0 1 ,
3.19/1.00	  3 2 5 -> 3 2 0 1 0 5 ,
3.19/1.00	  3 4 2 -> 3 4 0 2 2 2 ,
3.19/1.00	  3 5 1 -> 0 4 2 0 0 5 ,
3.19/1.00	  3 5 1 -> 0 4 2 2 3 4 ,
3.19/1.00	  3 5 1 -> 2 1 4 1 0 1 ,
3.19/1.00	  3 5 2 -> 0 4 3 2 2 2 ,
3.19/1.00	  3 5 2 -> 2 0 2 2 3 0 ,
3.19/1.00	  3 5 2 -> 2 3 3 2 1 2 ,
3.19/1.00	  3 5 4 -> 0 2 0 5 0 0 ,
3.19/1.00	  3 5 4 -> 0 5 0 0 1 2 }
3.19/1.00	
3.19/1.00	
3.19/1.00	The system was filtered by the following matrix interpretation
3.19/1.00	of type E_J with J = {1,...,2} and dimension 3:
3.19/1.00	
3.19/1.00	2 is interpreted by
3.19/1.00	 /     \
3.19/1.00	| 1 0 1 |
3.19/1.00	| 0 1 0 |
3.19/1.00	| 0 0 0 |
3.19/1.00	 \     /
3.19/1.00	5 is interpreted by
3.19/1.00	 /     \
3.19/1.00	| 1 0 0 |
3.19/1.00	| 0 1 0 |
3.19/1.00	| 0 1 1 |
3.19/1.00	 \     /
3.19/1.00	1 is interpreted by
3.19/1.00	 /     \
3.19/1.00	| 1 0 1 |
3.19/1.00	| 0 1 0 |
3.19/1.00	| 0 0 0 |
3.19/1.00	 \     /
3.19/1.00	3 is interpreted by
3.19/1.00	 /     \
3.19/1.00	| 1 0 1 |
3.19/1.00	| 0 1 0 |
3.19/1.00	| 0 0 0 |
3.19/1.00	 \     /
3.19/1.00	0 is interpreted by
3.19/1.00	 /     \
3.19/1.00	| 1 0 0 |
3.19/1.00	| 0 1 0 |
3.19/1.00	| 0 0 0 |
3.19/1.00	 \     /
3.19/1.00	4 is interpreted by
3.19/1.00	 /     \
3.19/1.00	| 1 0 1 |
3.19/1.00	| 0 1 0 |
3.19/1.00	| 0 0 0 |
3.19/1.00	 \     /
3.19/1.00	
3.19/1.00	Remains to prove termination of the 1-rule system
3.19/1.00	{ 3 4 2 -> 3 4 0 2 2 2 }
3.19/1.00	
3.19/1.00	
3.19/1.00	The system was filtered by the following matrix interpretation
3.19/1.00	of type E_J with J = {1,...,2} and dimension 4:
3.19/1.00	
3.19/1.00	2 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	 \       /
3.19/1.00	5 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	 \       /
3.19/1.00	1 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	 \       /
3.19/1.00	3 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 1 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	 \       /
3.19/1.00	0 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	 \       /
3.19/1.00	4 is interpreted by
3.19/1.00	 /       \
3.19/1.00	| 1 0 0 0 |
3.19/1.00	| 0 1 0 0 |
3.19/1.00	| 0 0 0 1 |
3.19/1.00	| 0 0 0 0 |
3.19/1.00	 \       /
3.19/1.00	
3.19/1.00	Remains to prove termination of the 0-rule system
3.19/1.00	{ }
3.19/1.00	
3.19/1.00	
3.19/1.00	The system is trivially terminating.
3.21/1.03	EOF