#  MINLP written by GAMS Convert at 01/12/18 13:29:56
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          2        1        0        1        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         31        1        0       30        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         61       31       30        0
# 
#  Reformulation has removed 1 variable and 1 equation


var i2 integer >= -1, <= 2;
var i3 integer >= -1, <= 2;
var i4 integer >= -1, <= 2;
var i5 integer >= -1, <= 2;
var i6 integer >= -1, <= 2;
var i7 integer >= -1, <= 2;
var i8 integer >= -1, <= 2;
var i9 integer >= -1, <= 2;
var i10 integer >= -1, <= 2;
var i11 integer >= -1, <= 2;
var i12 integer >= -1, <= 2;
var i13 integer >= -1, <= 2;
var i14 integer >= -1, <= 2;
var i15 integer >= -1, <= 2;
var i16 integer >= -1, <= 2;
var i17 integer >= -1, <= 2;
var i18 integer >= -1, <= 2;
var i19 integer >= -1, <= 2;
var i20 integer >= -1, <= 2;
var i21 integer >= -1, <= 2;
var i22 integer >= -1, <= 2;
var i23 integer >= -1, <= 2;
var i24 integer >= -1, <= 2;
var i25 integer >= -1, <= 2;
var i26 integer >= -1, <= 2;
var i27 integer >= -1, <= 2;
var i28 integer >= -1, <= 2;
var i29 integer >= -1, <= 2;
var i30 integer >= -1, <= 2;
var i31 integer >= -1, <= 2;

minimize obj:  - i2 - i3 - i4 - i5 - i6 - i7 - i8 - i9 - i10 - i11 - i12 - i13
     - i14 - i15 - i16 - i17 - i18 - i19 - i20 - i21 - i22 - i23 - i24 - i25
     - i26 - i27 - i28 - i29 - i30 - i31;

subject to

e2: 0.0394468602581308*i30^2 - 0.0394468602581308*i30 + 0.016482781963216*i29^2
     - 0.016482781963216*i29 + 0.0565703047972114*i28^2 - 0.0565703047972114*
    i28 + 0.0585014464120386*i27^2 - 0.0585014464120386*i27 + 
    0.0118746308986698*i26^2 - 0.0118746308986698*i26 + 0.0451913403894453*i25^
    2 - 0.0451913403894453*i25 + 0.0362882980369683*i24^2 - 0.0362882980369683*
    i24 + 0.0204948265573191*i23^2 - 0.0204948265573191*i23 + 
    0.0252301288903778*i22^2 - 0.0252301288903778*i22 + 0.0283867992035166*i21^
    2 - 0.0283867992035166*i21 + 0.0425137327561133*i20^2 - 0.0425137327561133*
    i20 + 0.037617677558166*i19^2 - 0.037617677558166*i19 + 0.0576726558598861*
    i18^2 - 0.0576726558598861*i18 + 0.0259924550955063*i17^2 - 
    0.0259924550955063*i17 + 0.00625392202854311*i16^2 - 0.00625392202854311*
    i16 + 0.0474635696658564*i15^2 - 0.0474635696658564*i15 + 0.030733721879364
    *i14^2 - 0.030733721879364*i14 + 0.015401148979499*i13^2 - 
    0.015401148979499*i13 + 0.049224183717334*i12^2 - 0.049224183717334*i12 + 
    0.0519656343340015*i11^2 - 0.0519656343340015*i11 + 0.0384040110374736*i10^
    2 - 0.0384040110374736*i10 + 0.0172067356549738*i9^2 - 0.0172067356549738*
    i9 + 0.019974781798624*i8^2 - 0.019974781798624*i8 + 0.0352372440378746*i7^
    2 - 0.0352372440378746*i7 + 0.0152163994975552*i6^2 - 0.0152163994975552*i6
     + 0.0075711399569244*i5^2 - 0.0075711399569244*i5 + 0.0243048911732161*i4^
    2 - 0.0243048911732161*i4 + 0.0502208123501935*i3^2 - 0.0502208123501935*i3
     + 0.041161312091797*i2^2 - 0.041161312091797*i2 + 0.0473965531202045*i31^2
     - 0.0473965531202045*i31 <= -9.99999999999612E-5;