0.00/0.39	YES
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.41	
0.00/0.41	b is interpreted by
0.00/0.41	 /       \
0.00/0.41	| 1 0 0 1 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	| 0 0 0 0 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	 \       /
0.00/0.41	c is interpreted by
0.00/0.41	 /       \
0.00/0.41	| 1 0 1 0 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	| 0 1 0 1 |
0.00/0.41	| 0 0 0 0 |
0.00/0.41	 \       /
0.00/0.41	a is interpreted by
0.00/0.41	 /       \
0.00/0.41	| 1 0 1 0 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	| 0 0 0 0 |
0.00/0.41	 \       /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 3-rule system
0.00/0.41	{ b b c -> b a a ,
0.00/0.41	  a c c ->= c c b ,
0.00/0.41	  a b a ->= a b c }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.41	
0.00/0.41	b is interpreted by
0.00/0.41	 /           \
0.00/0.41	| 1 0 0 0 1 0 |
0.00/0.41	| 0 1 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 1 |
0.00/0.41	| 0 0 0 0 0 0 |
0.00/0.41	 \           /
0.00/0.41	c is interpreted by
0.00/0.41	 /           \
0.00/0.41	| 1 0 1 0 0 0 |
0.00/0.41	| 0 1 0 0 0 0 |
0.00/0.41	| 0 0 0 1 0 0 |
0.00/0.41	| 0 1 0 0 1 1 |
0.00/0.41	| 0 0 0 0 0 0 |
0.00/0.41	| 0 0 1 0 0 0 |
0.00/0.41	 \           /
0.00/0.41	a is interpreted by
0.00/0.41	 /           \
0.00/0.41	| 1 0 1 0 0 0 |
0.00/0.41	| 0 1 0 0 0 0 |
0.00/0.41	| 0 0 1 0 0 0 |
0.00/0.41	| 0 1 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 |
0.00/0.41	 \           /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 2-rule system
0.00/0.41	{ b b c -> b a a ,
0.00/0.41	  a b a ->= a b c }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.41	
0.00/0.41	b is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	c is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	a is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 1-rule system
0.00/0.41	{ a b a ->= a b c }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system is trivially terminating.
0.00/0.50	EOF