0.00/0.36	YES
0.00/0.38	
0.00/0.38	
0.00/0.38	The system was filtered by the following matrix interpretation
0.00/0.38	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.38	
0.00/0.38	a is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	c is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	b is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 1 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	
0.00/0.38	Remains to prove termination of the 5-rule system
0.00/0.38	{ a c b -> a a b ,
0.00/0.38	  b c b -> b a b ,
0.00/0.38	  a c b -> b a a ,
0.00/0.38	  a b a ->= c a b ,
0.00/0.38	  c b c ->= b a c }
0.00/0.38	
0.00/0.38	
0.00/0.38	The system was filtered by the following matrix interpretation
0.00/0.38	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.38	
0.00/0.38	a is interpreted by
0.00/0.38	 /       \
0.00/0.38	| 1 0 0 0 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	| 0 0 0 1 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	 \       /
0.00/0.38	c is interpreted by
0.00/0.38	 /       \
0.00/0.38	| 1 0 1 0 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	| 0 0 1 0 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	 \       /
0.00/0.38	b is interpreted by
0.00/0.38	 /       \
0.00/0.38	| 1 0 0 0 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	| 0 0 0 1 |
0.00/0.38	| 0 0 0 0 |
0.00/0.38	 \       /
0.00/0.38	
0.00/0.38	Remains to prove termination of the 4-rule system
0.00/0.38	{ a c b -> a a b ,
0.00/0.38	  b c b -> b a b ,
0.00/0.38	  a c b -> b a a ,
0.00/0.38	  a b a ->= c a b }
0.00/0.38	
0.00/0.38	
0.00/0.38	The system was filtered by the following matrix interpretation
0.00/0.38	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.38	
0.00/0.38	a is interpreted by
0.00/0.38	 /       \
0.00/0.38	| 1 0 1 0 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	| 0 0 0 0 |
0.00/0.38	| 0 0 1 0 |
0.00/0.38	 \       /
0.00/0.38	c is interpreted by
0.00/0.38	 /       \
0.00/0.38	| 1 0 0 0 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	| 0 0 0 1 |
0.00/0.38	| 0 0 0 0 |
0.00/0.38	 \       /
0.00/0.38	b is interpreted by
0.00/0.38	 /       \
0.00/0.38	| 1 0 1 0 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	| 0 0 0 0 |
0.00/0.38	| 0 1 0 0 |
0.00/0.38	 \       /
0.00/0.38	
0.00/0.38	Remains to prove termination of the 1-rule system
0.00/0.38	{ a b a ->= c a b }
0.00/0.38	
0.00/0.38	
0.00/0.38	The system is trivially terminating.
0.00/0.41	EOF