0.00/0.48	YES
0.00/0.52	
0.00/0.52	
0.00/0.52	The system was filtered by the following matrix interpretation
0.00/0.52	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.52	
0.00/0.52	a is interpreted by
0.00/0.52	 /       \
0.00/0.52	| 1 0 0 0 |
0.00/0.52	| 0 1 0 0 |
0.00/0.52	| 0 0 0 0 |
0.00/0.52	| 0 0 0 0 |
0.00/0.52	 \       /
0.00/0.52	b is interpreted by
0.00/0.52	 /       \
0.00/0.52	| 1 0 1 0 |
0.00/0.52	| 0 1 0 0 |
0.00/0.52	| 0 0 1 0 |
0.00/0.52	| 0 1 0 0 |
0.00/0.52	 \       /
0.00/0.52	c is interpreted by
0.00/0.52	 /       \
0.00/0.52	| 1 0 0 0 |
0.00/0.52	| 0 1 0 0 |
0.00/0.52	| 0 0 0 1 |
0.00/0.52	| 0 0 0 0 |
0.00/0.52	 \       /
0.00/0.52	
0.00/0.52	Remains to prove termination of the 4-rule system
0.00/0.52	{ a b b -> c a c ,
0.00/0.52	  b a c -> b b a ,
0.00/0.52	  a a b -> c a c ,
0.00/0.52	  c b b ->= a c b }
0.00/0.52	
0.00/0.52	
0.00/0.52	The system was filtered by the following matrix interpretation
0.00/0.52	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.52	
0.00/0.52	a is interpreted by
0.00/0.52	 /           \
0.00/0.52	| 1 0 1 0 0 0 |
0.00/0.52	| 0 1 0 0 0 0 |
0.00/0.52	| 0 0 0 1 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 1 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	 \           /
0.00/0.52	b is interpreted by
0.00/0.52	 /           \
0.00/0.52	| 1 0 0 0 1 0 |
0.00/0.52	| 0 1 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 1 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	 \           /
0.00/0.52	c is interpreted by
0.00/0.52	 /           \
0.00/0.52	| 1 0 0 0 0 0 |
0.00/0.52	| 0 1 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 1 0 0 1 |
0.00/0.52	 \           /
0.00/0.52	
0.00/0.52	Remains to prove termination of the 3-rule system
0.00/0.52	{ a b b -> c a c ,
0.00/0.52	  b a c -> b b a ,
0.00/0.52	  c b b ->= a c b }
0.00/0.52	
0.00/0.52	
0.00/0.52	The system was filtered by the following matrix interpretation
0.00/0.52	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.52	
0.00/0.52	a is interpreted by
0.00/0.52	 /           \
0.00/0.52	| 1 0 0 0 0 0 |
0.00/0.52	| 0 1 0 0 0 0 |
0.00/0.52	| 0 0 0 1 0 0 |
0.00/0.52	| 0 0 0 0 1 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	 \           /
0.00/0.52	b is interpreted by
0.00/0.52	 /           \
0.00/0.52	| 1 0 1 0 0 0 |
0.00/0.52	| 0 1 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 1 0 0 1 |
0.00/0.52	| 0 1 0 0 0 0 |
0.00/0.52	 \           /
0.00/0.52	c is interpreted by
0.00/0.52	 /           \
0.00/0.52	| 1 0 0 0 0 0 |
0.00/0.52	| 0 1 0 0 0 0 |
0.00/0.52	| 0 0 0 0 1 0 |
0.00/0.52	| 0 1 0 1 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	| 0 0 0 0 0 0 |
0.00/0.52	 \           /
0.00/0.52	
0.00/0.52	Remains to prove termination of the 2-rule system
0.00/0.52	{ a b b -> c a c ,
0.00/0.52	  c b b ->= a c b }
0.00/0.52	
0.00/0.52	
0.00/0.52	The system was filtered by the following matrix interpretation
0.00/0.52	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.52	
0.00/0.52	a is interpreted by
0.00/0.52	 /   \
0.00/0.52	| 1 0 |
0.00/0.52	| 0 1 |
0.00/0.52	 \   /
0.00/0.52	b is interpreted by
0.00/0.52	 /   \
0.00/0.52	| 1 1 |
0.00/0.52	| 0 1 |
0.00/0.52	 \   /
0.00/0.52	c is interpreted by
0.00/0.52	 /   \
0.00/0.52	| 1 0 |
0.00/0.52	| 0 1 |
0.00/0.52	 \   /
0.00/0.52	
0.00/0.52	Remains to prove termination of the 0-rule system
0.00/0.52	{ }
0.00/0.52	
0.00/0.52	
0.00/0.52	The system is trivially terminating.
1.36/0.54	EOF