0.00/0.42	YES
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 3:
0.00/0.44	
0.00/0.44	a is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 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 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	c is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 1 1 |
0.00/0.44	 \     /
0.00/0.44	d is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
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 -> b c ,
0.00/0.44	  a b -> b a ,
0.00/0.44	  a c -> c 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 0 |
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	
0.00/0.44	Remains to prove termination of the 2-rule system
0.00/0.44	{ a b -> b a ,
0.00/0.44	  a c -> c 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 3:
0.00/0.44	
0.00/0.44	a is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 2 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	b is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	 \     /
0.00/0.44	c is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 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 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 1-rule system
0.00/0.44	{ a c -> c 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 3:
0.00/0.44	
0.00/0.44	a is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 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 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	c is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 1 1 |
0.00/0.44	 \     /
0.00/0.44	d is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
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.
0.00/0.46	EOF