#  NLP written by GAMS Convert at 01/12/18 13:32:12
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         10       10        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         11       11        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         28       18       10        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0;
var x3 >= 0;
var x4 >= 0, <= 20;
var x5 >= 0, <= 20;
var x6 >= 0, <= 20;
var x7 >= 0, <= 20;
var x8 >= 0, <= 20;
var x9 >= 0, <= 20;
var x10 >= 0, <= 20;
var x11 >= 0, <= 20;

minimize obj: (-5 + x2)*(-5 + x2) + (1 + 2*x3)*(1 + 2*x3);

subject to

e2:  - 3*x2 + x3 + x4 = -3;

e3:    x2 - 0.5*x3 + x5 = 4;

e4:    x2 + x3 + x6 = 7;

e5:  - x3 + x7 = 0;

e6: x4*x8 = 0;

e7: x5*x9 = 0;

e8: x6*x10 = 0;

e9: x7*x11 = 0;

e10:  - 1.5*x2 + 2*x3 + x8 - 0.5*x9 + x10 - x11 = 2;