0.00/0.48	YES
0.00/0.49	
0.00/0.49	
0.00/0.49	The system was filtered by the following matrix interpretation
0.00/0.49	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.49	
0.00/0.49	c is interpreted by
0.00/0.49	 /       \
0.00/0.49	| 1 0 0 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	| 0 0 0 0 |
0.00/0.49	| 0 0 0 0 |
0.00/0.49	 \       /
0.00/0.49	a is interpreted by
0.00/0.49	 /       \
0.00/0.49	| 1 0 1 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	| 0 0 0 1 |
0.00/0.49	| 0 0 0 0 |
0.00/0.49	 \       /
0.00/0.49	b is interpreted by
0.00/0.49	 /       \
0.00/0.49	| 1 0 0 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	| 0 0 1 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	 \       /
0.00/0.49	
0.00/0.49	Remains to prove termination of the 5-rule system
0.00/0.49	{ c c c -> a a c ,
0.00/0.49	  b a a -> b b c ,
0.00/0.49	  c a c -> a c c ,
0.00/0.49	  b c c -> b c b ,
0.00/0.49	  a b a ->= a c c }
0.00/0.49	
0.00/0.49	
0.00/0.49	The system was filtered by the following matrix interpretation
0.00/0.49	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.49	
0.00/0.49	c is interpreted by
0.00/0.49	 /       \
0.00/0.49	| 1 0 0 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	| 0 0 0 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	 \       /
0.00/0.49	a is interpreted by
0.00/0.49	 /       \
0.00/0.49	| 1 0 1 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	| 0 0 0 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	 \       /
0.00/0.49	b is interpreted by
0.00/0.49	 /       \
0.00/0.49	| 1 0 0 0 |
0.00/0.49	| 0 1 0 0 |
0.00/0.49	| 0 0 0 1 |
0.00/0.49	| 0 0 0 0 |
0.00/0.49	 \       /
0.00/0.49	
0.00/0.49	Remains to prove termination of the 4-rule system
0.00/0.49	{ c c c -> a a c ,
0.00/0.49	  b a a -> b b c ,
0.00/0.49	  c a c -> a c c ,
0.00/0.49	  b c c -> b c b }
0.00/0.50	
0.00/0.50	
0.00/0.50	The system was filtered by the following matrix interpretation
0.00/0.50	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.50	
0.00/0.50	c is interpreted by
0.00/0.50	 /         \
0.00/0.50	|    1 1000 |
0.00/0.50	|    0    1 |
0.00/0.50	 \         /
0.00/0.50	a is interpreted by
0.00/0.50	 /       \
0.00/0.50	|   1 999 |
0.00/0.50	|   0   1 |
0.00/0.50	 \       /
0.00/0.50	b is interpreted by
0.00/0.50	 /       \
0.00/0.50	|   1 998 |
0.00/0.50	|   0   1 |
0.00/0.50	 \       /
0.00/0.50	
0.00/0.50	Remains to prove termination of the 2-rule system
0.00/0.50	{ b a a -> b b c ,
0.00/0.50	  c a c -> a c c }
0.00/0.50	
0.00/0.50	
0.00/0.50	The system was filtered by the following matrix interpretation
0.00/0.50	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.50	
0.00/0.50	c is interpreted by
0.00/0.50	 /   \
0.00/0.50	| 1 0 |
0.00/0.50	| 0 1 |
0.00/0.50	 \   /
0.00/0.50	a is interpreted by
0.00/0.50	 /   \
0.00/0.50	| 1 1 |
0.00/0.50	| 0 1 |
0.00/0.50	 \   /
0.00/0.50	b is interpreted by
0.00/0.50	 /   \
0.00/0.50	| 1 0 |
0.00/0.50	| 0 1 |
0.00/0.50	 \   /
0.00/0.50	
0.00/0.50	Remains to prove termination of the 1-rule system
0.00/0.50	{ c a c -> a c c }
0.00/0.50	
0.00/0.50	
0.00/0.50	The system was filtered by the following matrix interpretation
0.00/0.50	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.50	
0.00/0.50	c is interpreted by
0.00/0.50	 /       \
0.00/0.50	| 1 0 1 0 |
0.00/0.50	| 0 1 0 0 |
0.00/0.50	| 0 0 1 0 |
0.00/0.50	| 0 1 0 0 |
0.00/0.50	 \       /
0.00/0.50	a is interpreted by
0.00/0.50	 /       \
0.00/0.50	| 1 0 0 0 |
0.00/0.50	| 0 1 0 0 |
0.00/0.50	| 0 0 1 1 |
0.00/0.50	| 0 0 0 0 |
0.00/0.50	 \       /
0.00/0.50	b is interpreted by
0.00/0.50	 /       \
0.00/0.50	| 1 0 0 0 |
0.00/0.50	| 0 1 0 0 |
0.00/0.50	| 0 0 0 0 |
0.00/0.50	| 0 0 0 0 |
0.00/0.50	 \       /
0.00/0.50	
0.00/0.50	Remains to prove termination of the 0-rule system
0.00/0.50	{ }
0.00/0.50	
0.00/0.50	
0.00/0.50	The system is trivially terminating.
0.00/0.53	EOF