#  NLP written by GAMS Convert at 01/12/18 13:32:11
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          8        8        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#          9        9        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         19       13        6        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2;
var x3 >= 0;
var x4 >= 0;
var x5 >= 0;
var x6 >= 0, <= 200;
var x7 >= 0, <= 200;
var x8 >= 0, <= 200;
var x9 >= 0, <= 200;

minimize obj: (-1 + 0.5*x4)*(-2 + x4) + (-1 + 0.5*x5)*(-2 + x5);

subject to

e2:  - x3 + x4 + x5 = 0;

e3:  - x4 + x6 = 0;

e4:  - x5 + x7 = 0;

e5: x6*x8 = 0;

e6: x7*x9 = 0;

e7:    x2 + x4 - x8 = 0;

e8:    x2 - x9 = -1;