0.00/0.04	YES
0.00/0.04	
0.00/0.04	Problem 1: 
0.00/0.04	
0.00/0.04	(THEORY 
0.00/0.04	(AC plus))
0.00/0.04	(RULES
0.00/0.04	f(plus(a,a)) -> plus(f(a),f(a))
0.00/0.04	plus(a,f(f(a))) -> plus(f(a),f(a))
0.00/0.04	)
0.00/0.04	
0.00/0.04	Problem 1: 
0.00/0.04	
0.00/0.04	Reduction Order Processor:
0.00/0.04	-> Rules:
0.00/0.04	 f(plus(a,a)) -> plus(f(a),f(a))
0.00/0.04	 plus(a,f(f(a))) -> plus(f(a),f(a))
0.00/0.04	->Interpretation type:
0.00/0.04	 Linear
0.00/0.04	->Coefficients:
0.00/0.04	 Natural Numbers
0.00/0.04	->Dimension:
0.00/0.04	 1
0.00/0.04	->Bound:
0.00/0.04	 2
0.00/0.04	->Interpretation:
0.00/0.04	 
0.00/0.04	[f](X) = 2.X + 1
0.00/0.04	[plus](X1,X2) = X1 + X2 + 2
0.00/0.04	[a] = 1
0.00/0.04	
0.00/0.04	Problem 1: 
0.00/0.04	
0.00/0.04	Reduction Order Processor:
0.00/0.04	-> Rules:
0.00/0.04	 plus(a,f(f(a))) -> plus(f(a),f(a))
0.00/0.04	->Interpretation type:
0.00/0.04	 Linear
0.00/0.04	->Coefficients:
0.00/0.04	 Natural Numbers
0.00/0.04	->Dimension:
0.00/0.04	 1
0.00/0.04	->Bound:
0.00/0.04	 2
0.00/0.04	->Interpretation:
0.00/0.04	 
0.00/0.04	[f](X) = 2.X + 1
0.00/0.04	[plus](X1,X2) = X1 + X2 + 2
0.00/0.04	[a] = 2
0.00/0.04	
0.00/0.04	Problem 1: 
0.00/0.04	
0.00/0.04	Dependency Pairs Processor:
0.00/0.04	-> FAxioms:
0.00/0.04	 PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2))
0.00/0.04	 PLUS(x0,x1) = PLUS(x1,x0)
0.00/0.04	-> Pairs:
0.00/0.04	 Empty
0.00/0.04	-> EAxioms:
0.00/0.04	 plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2))
0.00/0.04	 plus(x0,x1) = plus(x1,x0)
0.00/0.04	-> Rules:
0.00/0.04	 Empty
0.00/0.04	-> SRules:
0.00/0.04	 PLUS(plus(x0,x1),x2) -> PLUS(x0,x1)
0.00/0.04	 PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2)
0.00/0.04	
0.00/0.04	Problem 1: 
0.00/0.04	
0.00/0.04	SCC Processor:
0.00/0.04	-> FAxioms:
0.00/0.04	 PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2))
0.00/0.04	 PLUS(x0,x1) = PLUS(x1,x0)
0.00/0.04	-> Pairs:
0.00/0.04	 Empty
0.00/0.04	-> EAxioms:
0.00/0.04	 plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2))
0.00/0.04	 plus(x0,x1) = plus(x1,x0)
0.00/0.04	-> Rules:
0.00/0.04	 Empty
0.00/0.04	-> SRules:
0.00/0.04	 PLUS(plus(x0,x1),x2) -> PLUS(x0,x1)
0.00/0.04	 PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2)
0.00/0.04	->Strongly Connected Components:
0.00/0.04	 There is no strongly connected component
0.00/0.04	
0.00/0.04	The problem is finite.
0.00/0.04	EOF