0.00/0.43	YES
0.00/0.44	
0.00/0.44	
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.44	
0.00/0.44	a is interpreted by
0.00/0.44	 /     \
0.00/0.44	|  1 16 |
0.00/0.44	|  0  1 |
0.00/0.44	 \     /
0.00/0.44	b is interpreted by
0.00/0.44	 /     \
0.00/0.44	|  1 17 |
0.00/0.44	|  0  1 |
0.00/0.44	 \     /
0.00/0.44	c is interpreted by
0.00/0.44	 /     \
0.00/0.44	|  1 15 |
0.00/0.44	|  0  1 |
0.00/0.44	 \     /
0.00/0.44	d is interpreted by
0.00/0.44	 /     \
0.00/0.44	|  1 18 |
0.00/0.44	|  0  1 |
0.00/0.44	 \     /
0.00/0.44	f is interpreted by
0.00/0.44	 /     \
0.00/0.44	|  1 12 |
0.00/0.44	|  0  1 |
0.00/0.44	 \     /
0.00/0.44	g is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 8 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 5-rule system
0.00/0.44	{ a a -> b c ,
0.00/0.44	  c c -> d f ,
0.00/0.44	  d d -> f f f ,
0.00/0.44	  f f -> g a ,
0.00/0.44	  g g -> a }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.44	
0.00/0.44	a is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	b is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	c is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 2 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	d is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 3 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	f is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	g is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 3-rule system
0.00/0.44	{ a a -> b c ,
0.00/0.44	  c c -> d f ,
0.00/0.44	  f f -> g a }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.44	
0.00/0.44	a is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	b is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	c is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	d is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	f is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	g is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 0-rule system
0.00/0.44	{ }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system is trivially terminating.
0.00/0.47	EOF