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                Quantifier Elimination                 
                          in                           
            Elementary Algebra and Geometry            
                          by                           
      Partial Cylindrical Algebraic Decomposition      
                                                       
               Version B 1.69, 16 Mar 2012
                                                       
                          by                           
                       Hoon Hong                       
                  (hhong@math.ncsu.edu)                
                                                       
With contributions by: Christopher W. Brown, George E. 
Collins, Mark J. Encarnacion, Jeremy R. Johnson        
Werner Krandick, Richard Liska, Scott McCallum,        
Nicolas Robidoux, and Stanly Steinberg                 
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Enter an informal description  between '[' and ']':
[SI CAD for Example 23]Enter a variable list:
(x,y)Enter the number of free variables:
2
Enter a prenex formula:
[ [x^2 + y^2 - 1 = 0 /\ x y - 1/4 < 0] ].

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Before Normalization >
full-cad

Before Normalization >
go

Before Projection (y) >
go

Before Choice >
go

Before Solution >
d-fpc-stat
          propagation    trial-eval     total
true          0             18             18
false         0             65             65
total         0             83             83

Length of the projection-based formula :108

Before Solution >
go 
An equivalent quantifier-free formula:

4 x y - 1 < 0 /\ y^2 + x^2 - 1 = 0


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