0.00/0.41	YES
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 3:
0.00/0.43	
0.00/0.43	g is interpreted by
0.00/0.43	 /     \
0.00/0.43	| 1 0 1 |
0.00/0.43	| 0 1 0 |
0.00/0.43	| 0 0 0 |
0.00/0.43	 \     /
0.00/0.43	c is interpreted by
0.00/0.43	 /     \
0.00/0.43	| 1 0 0 |
0.00/0.43	| 0 1 0 |
0.00/0.43	| 0 1 0 |
0.00/0.43	 \     /
0.00/0.43	f is interpreted by
0.00/0.43	 /     \
0.00/0.43	| 1 0 0 |
0.00/0.43	| 0 1 0 |
0.00/0.43	| 0 0 0 |
0.00/0.43	 \     /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 3-rule system
0.00/0.43	{ g f c -> g f f c ,
0.00/0.43	  g g -> g f g ,
0.00/0.43	  f f g -> g f }
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 4:
0.00/0.43	
0.00/0.43	g is interpreted by
0.00/0.43	 /       \
0.00/0.43	| 1 0 1 1 |
0.00/0.43	| 0 1 0 0 |
0.00/0.43	| 0 0 0 0 |
0.00/0.43	| 0 0 0 0 |
0.00/0.43	 \       /
0.00/0.43	c is interpreted by
0.00/0.43	 /       \
0.00/0.43	| 1 0 0 0 |
0.00/0.43	| 0 1 0 0 |
0.00/0.43	| 0 0 0 0 |
0.00/0.43	| 0 1 0 0 |
0.00/0.43	 \       /
0.00/0.43	f is interpreted by
0.00/0.43	 /       \
0.00/0.43	| 1 0 0 0 |
0.00/0.43	| 0 1 0 0 |
0.00/0.43	| 0 0 0 1 |
0.00/0.43	| 0 0 0 0 |
0.00/0.43	 \       /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 2-rule system
0.00/0.43	{ g g -> g f g ,
0.00/0.43	  f f g -> g f }
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 7-rule system
0.00/0.43	{ (g,true) (g,false) -> (g,true) (f,false) (g,false) ,
0.00/0.43	  (g,true) (g,false) -> (f,true) (g,false) ,
0.00/0.43	  (g,true) (g,false) -> (g,true) ,
0.00/0.43	  (f,true) (f,false) (g,false) -> (g,true) (f,false) ,
0.00/0.43	  (f,true) (f,false) (g,false) -> (f,true) ,
0.00/0.43	  (g,false) (g,false) ->= (g,false) (f,false) (g,false) ,
0.00/0.43	  (f,false) (f,false) (g,false) ->= (g,false) (f,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 2:
0.00/0.43	
0.00/0.43	(g,true) is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	(g,false) is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 1 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	(f,false) is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	(f,true) is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 4-rule system
0.00/0.43	{ (g,true) (g,false) -> (g,true) (f,false) (g,false) ,
0.00/0.43	  (g,true) (g,false) -> (f,true) (g,false) ,
0.00/0.43	  (g,false) (g,false) ->= (g,false) (f,false) (g,false) ,
0.00/0.43	  (f,false) (f,false) (g,false) ->= (g,false) (f,false) }
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 2:
0.00/0.43	
0.00/0.43	(g,true) is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 1 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	(g,false) is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	(f,false) is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	(f,true) is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 3-rule system
0.00/0.43	{ (g,true) (g,false) -> (g,true) (f,false) (g,false) ,
0.00/0.43	  (g,false) (g,false) ->= (g,false) (f,false) (g,false) ,
0.00/0.43	  (f,false) (f,false) (g,false) ->= (g,false) (f,false) }
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 5:
0.00/0.43	
0.00/0.43	(g,true) is interpreted by
0.00/0.43	 /         \
0.00/0.43	| 1 0 1 0 0 |
0.00/0.43	| 0 1 0 0 0 |
0.00/0.43	| 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 |
0.00/0.43	 \         /
0.00/0.43	(g,false) is interpreted by
0.00/0.43	 /         \
0.00/0.43	| 1 0 0 0 0 |
0.00/0.43	| 0 1 0 0 0 |
0.00/0.43	| 0 1 0 0 0 |
0.00/0.43	| 0 0 0 0 0 |
0.00/0.43	| 0 1 0 0 0 |
0.00/0.43	 \         /
0.00/0.43	(f,false) is interpreted by
0.00/0.43	 /         \
0.00/0.43	| 1 0 0 0 0 |
0.00/0.43	| 0 1 0 0 0 |
0.00/0.43	| 0 0 0 1 0 |
0.00/0.43	| 0 0 0 0 1 |
0.00/0.43	| 0 1 0 0 0 |
0.00/0.43	 \         /
0.00/0.43	(f,true) is interpreted by
0.00/0.43	 /         \
0.00/0.43	| 1 0 0 0 0 |
0.00/0.43	| 0 1 0 0 0 |
0.00/0.43	| 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 |
0.00/0.43	| 0 0 0 0 0 |
0.00/0.43	 \         /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 2-rule system
0.00/0.43	{ (g,false) (g,false) ->= (g,false) (f,false) (g,false) ,
0.00/0.43	  (f,false) (f,false) (g,false) ->= (g,false) (f,false) }
0.00/0.43	
0.00/0.43	
0.00/0.43	The system is trivially terminating.
0.00/0.46	EOF