0.00/0.27	YES
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	(VAR x y)
0.00/0.27	(THEORY 
0.00/0.27	(AC plus))
0.00/0.27	(RULES
0.00/0.27	f(plus(x,y)) -> plus(f(x),y)
0.00/0.27	h(a,b) -> h(b,a)
0.00/0.27	h(a,g(g(a))) -> h(g(a),f(a))
0.00/0.27	h(g(a),a) -> h(a,g(b))
0.00/0.27	h(g(a),b) -> h(a,g(a))
0.00/0.27	plus(f(a),g(b)) -> plus(f(b),g(a))
0.00/0.27	plus(g(x),y) -> g(plus(x,y))
0.00/0.27	)
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Order Processor:
0.00/0.27	-> Rules:
0.00/0.27	 f(plus(x,y)) -> plus(f(x),y)
0.00/0.27	 h(a,b) -> h(b,a)
0.00/0.27	 h(a,g(g(a))) -> h(g(a),f(a))
0.00/0.27	 h(g(a),a) -> h(a,g(b))
0.00/0.27	 h(g(a),b) -> h(a,g(a))
0.00/0.27	 plus(f(a),g(b)) -> plus(f(b),g(a))
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 2.X
0.00/0.27	[h](X1,X2) = 2.X1 + 2.X2
0.00/0.27	[plus](X1,X2) = X1 + X2 + 1
0.00/0.27	[a] = 1
0.00/0.27	[b] = 1
0.00/0.27	[g](X) = X + 2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Order Processor:
0.00/0.27	-> Rules:
0.00/0.27	 h(a,b) -> h(b,a)
0.00/0.27	 h(a,g(g(a))) -> h(g(a),f(a))
0.00/0.27	 h(g(a),a) -> h(a,g(b))
0.00/0.27	 h(g(a),b) -> h(a,g(a))
0.00/0.27	 plus(f(a),g(b)) -> plus(f(b),g(a))
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = X
0.00/0.27	[h](X1,X2) = 2.X1 + X2
0.00/0.27	[plus](X1,X2) = X1 + X2 + 1
0.00/0.27	[a] = 2
0.00/0.27	[b] = 1
0.00/0.27	[g](X) = X + 2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Order Processor:
0.00/0.27	-> Rules:
0.00/0.27	 h(a,g(g(a))) -> h(g(a),f(a))
0.00/0.27	 h(g(a),a) -> h(a,g(b))
0.00/0.27	 h(g(a),b) -> h(a,g(a))
0.00/0.27	 plus(f(a),g(b)) -> plus(f(b),g(a))
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 2.X
0.00/0.27	[h](X1,X2) = 2.X1 + 2.X2
0.00/0.27	[plus](X1,X2) = X1 + X2
0.00/0.27	[a] = 1
0.00/0.27	[b] = 1
0.00/0.27	[g](X) = X + 2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Order Processor:
0.00/0.27	-> Rules:
0.00/0.27	 h(g(a),a) -> h(a,g(b))
0.00/0.27	 h(g(a),b) -> h(a,g(a))
0.00/0.27	 plus(f(a),g(b)) -> plus(f(b),g(a))
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 2.X
0.00/0.27	[h](X1,X2) = 2.X1 + X2
0.00/0.27	[plus](X1,X2) = X1 + X2 + 2
0.00/0.27	[a] = 2
0.00/0.27	[b] = 2
0.00/0.27	[g](X) = X + 2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Order Processor:
0.00/0.27	-> Rules:
0.00/0.27	 h(g(a),b) -> h(a,g(a))
0.00/0.27	 plus(f(a),g(b)) -> plus(f(b),g(a))
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 2.X
0.00/0.27	[h](X1,X2) = 2.X1 + X2
0.00/0.27	[plus](X1,X2) = X1 + X2
0.00/0.27	[a] = 0
0.00/0.27	[b] = 0
0.00/0.27	[g](X) = X + 2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Order Processor:
0.00/0.27	-> Rules:
0.00/0.27	 plus(f(a),g(b)) -> plus(f(b),g(a))
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 2.X
0.00/0.27	[h](X1,X2) = 2.X1 + 2.X2
0.00/0.27	[plus](X1,X2) = X1 + X2
0.00/0.27	[a] = 2
0.00/0.27	[b] = 0
0.00/0.27	[g](X) = X + 2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Dependency Pairs Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(x,y)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	SCC Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(x,y)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Strongly Connected Components:
0.00/0.27	->->Cycle:
0.00/0.27	->->-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(x,y)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> FAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) -> plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) -> plus(x3,x2)
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) -> PLUS(x3,x2)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	->->-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Pairs Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(x,y)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Usable Equations:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> Usable Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 0
0.00/0.27	[h](X1,X2) = 0
0.00/0.27	[plus](X1,X2) = X1 + X2 + 2
0.00/0.27	[a] = 0
0.00/0.27	[b] = 0
0.00/0.27	[g](X) = X + 2
0.00/0.27	[PLUS](X1,X2) = 2.X1 + 2.X2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	SCC Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Strongly Connected Components:
0.00/0.27	->->Cycle:
0.00/0.27	->->-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> FAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) -> plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) -> plus(x3,x2)
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) -> PLUS(x3,x2)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	->->-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Pairs Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Usable Equations:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> Usable Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 0
0.00/0.27	[h](X1,X2) = 0
0.00/0.27	[plus](X1,X2) = X1 + X2 + 2
0.00/0.27	[a] = 0
0.00/0.27	[b] = 0
0.00/0.27	[g](X) = X + 2
0.00/0.27	[PLUS](X1,X2) = 2.X1 + 2.X2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	SCC Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Strongly Connected Components:
0.00/0.27	->->Cycle:
0.00/0.27	->->-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> FAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) -> plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) -> plus(x3,x2)
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) -> PLUS(x3,x2)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	->->-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Pairs Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	 PLUS(g(x),y) -> PLUS(x,y)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Usable Equations:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> Usable Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 0
0.00/0.27	[h](X1,X2) = 0
0.00/0.27	[plus](X1,X2) = X1 + X2 + 2
0.00/0.27	[a] = 0
0.00/0.27	[b] = 0
0.00/0.27	[g](X) = X + 2
0.00/0.27	[PLUS](X1,X2) = 2.X1 + 2.X2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	SCC Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Strongly Connected Components:
0.00/0.27	->->Cycle:
0.00/0.27	->->-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	-> FAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) -> plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) -> plus(x3,x2)
0.00/0.27	 PLUS(plus(x2,x3),x4) -> PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) -> PLUS(x3,x2)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	->->-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	Reduction Pairs Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 PLUS(plus(g(x),y),x2) -> PLUS(g(plus(x,y)),x2)
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Usable Equations:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> Usable Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Interpretation type:
0.00/0.27	 Linear
0.00/0.27	->Coefficients:
0.00/0.27	 Natural Numbers
0.00/0.27	->Dimension:
0.00/0.27	 1
0.00/0.27	->Bound:
0.00/0.27	 2
0.00/0.27	->Interpretation:
0.00/0.27	 
0.00/0.27	[f](X) = 0
0.00/0.27	[h](X1,X2) = 0
0.00/0.27	[plus](X1,X2) = X1 + X2 + 2
0.00/0.27	[a] = 0
0.00/0.27	[b] = 0
0.00/0.27	[g](X) = 2
0.00/0.27	[PLUS](X1,X2) = 2.X1 + 2.X2
0.00/0.27	
0.00/0.27	Problem 1: 
0.00/0.27	
0.00/0.27	SCC Processor:
0.00/0.27	-> FAxioms:
0.00/0.27	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.27	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.27	-> Pairs:
0.00/0.27	 Empty
0.00/0.27	-> EAxioms:
0.00/0.27	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.27	 plus(x2,x3) = plus(x3,x2)
0.00/0.27	-> Rules:
0.00/0.27	 plus(g(x),y) -> g(plus(x,y))
0.00/0.27	-> SRules:
0.00/0.27	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.27	->Strongly Connected Components:
0.00/0.27	 There is no strongly connected component
0.00/0.27	
0.00/0.27	The problem is finite.
0.00/0.27	EOF