0.00/0.37	YES
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.39	
0.00/0.39	c is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	a is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 1 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 1 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	 \       /
0.00/0.39	b is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	 \       /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 5-rule system
0.00/0.39	{ c a b -> c a c ,
0.00/0.39	  a b a -> c a c ,
0.00/0.39	  a b b -> a c b ,
0.00/0.39	  a b b ->= a a c ,
0.00/0.39	  b c c ->= b a b }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	c is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	a is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	b is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 2 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 2-rule system
0.00/0.39	{ a b a -> c a c ,
0.00/0.39	  b c c ->= b a b }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.39	
0.00/0.39	c is interpreted by
0.00/0.39	 /           \
0.00/0.39	| 1 0 0 0 0 0 |
0.00/0.39	| 0 1 0 0 0 0 |
0.00/0.39	| 0 0 0 1 0 0 |
0.00/0.39	| 0 1 1 0 0 0 |
0.00/0.39	| 0 0 0 0 0 0 |
0.00/0.39	| 0 0 0 0 0 0 |
0.00/0.39	 \           /
0.00/0.39	a is interpreted by
0.00/0.39	 /           \
0.00/0.39	| 1 0 0 0 0 0 |
0.00/0.39	| 0 1 0 0 0 0 |
0.00/0.39	| 0 0 0 0 0 0 |
0.00/0.39	| 0 0 0 0 1 0 |
0.00/0.39	| 0 0 0 0 0 0 |
0.00/0.39	| 0 1 0 0 0 0 |
0.00/0.39	 \           /
0.00/0.39	b is interpreted by
0.00/0.39	 /           \
0.00/0.39	| 1 0 1 0 0 0 |
0.00/0.39	| 0 1 0 0 0 0 |
0.00/0.39	| 0 0 0 0 0 0 |
0.00/0.39	| 0 0 0 0 0 0 |
0.00/0.39	| 0 0 1 0 0 1 |
0.00/0.39	| 0 0 0 0 0 0 |
0.00/0.39	 \           /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 1-rule system
0.00/0.39	{ a b a -> c a c }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	c is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	a is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	b is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 0-rule system
0.00/0.39	{ }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system is trivially terminating.
0.00/0.43	EOF