0.00/0.41	YES
0.00/0.43	
0.00/0.43	
0.00/0.43	The system was reversed.
0.00/0.43	
0.00/0.43	Remains to prove termination of the 1-rule system
0.00/0.43	{ a b c a b a b -> c a b a b b c a b a }
0.00/0.43	
0.00/0.43	
0.00/0.43	The dependency pairs transformation was applied.
0.00/0.43	
0.00/0.43	Remains to prove termination of the 5-rule system
0.00/0.43	{ (a,true) (b,false) (c,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (b,false) (c,false) (a,false) (b,false) (a,false) ,
0.00/0.43	  (a,true) (b,false) (c,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (b,false) (c,false) (a,false) (b,false) (a,false) ,
0.00/0.43	  (a,true) (b,false) (c,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) ,
0.00/0.43	  (a,true) (b,false) (c,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) ,
0.00/0.43	  (a,false) (b,false) (c,false) (a,false) (b,false) (a,false) (b,false) ->= (c,false) (a,false) (b,false) (a,false) (b,false) (b,false) (c,false) (a,false) (b,false) (a,false) }
0.00/0.43	
0.00/0.43	
0.00/0.43	
0.00/0.43	
0.00/0.43	The system was filtered by the following matrix interpretation
0.00/0.43	of type E_J with J = {1,...,2} and dimension 8:
0.00/0.43	
0.00/0.43	(a,true) is interpreted by
0.00/0.43	 /               \
0.00/0.43	| 1 0 1 0 0 0 0 0 |
0.00/0.43	| 0 1 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	 \               /
0.00/0.43	(b,false) is interpreted by
0.00/0.43	 /               \
0.00/0.43	| 1 0 0 0 0 0 0 0 |
0.00/0.43	| 0 1 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 2 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 1 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 1 1 0 0 0 0 1 |
0.00/0.43	 \               /
0.00/0.43	(c,false) is interpreted by
0.00/0.43	 /               \
0.00/0.43	| 1 0 0 0 0 0 0 0 |
0.00/0.43	| 0 1 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 1 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	 \               /
0.00/0.43	(a,false) is interpreted by
0.00/0.43	 /               \
0.00/0.43	| 1 0 0 0 0 0 0 0 |
0.00/0.43	| 0 1 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 1 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 1 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 0 0 1 |
0.00/0.43	| 0 0 0 0 0 0 0 0 |
0.00/0.43	 \               /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 1-rule system
0.00/0.43	{ (a,false) (b,false) (c,false) (a,false) (b,false) (a,false) (b,false) ->= (c,false) (a,false) (b,false) (a,false) (b,false) (b,false) (c,false) (a,false) (b,false) (a,false) }
0.00/0.43	
0.00/0.43	
0.00/0.43	The system is trivially terminating.
0.00/0.45	EOF