#  MINLP written by GAMS Convert at 01/12/18 13:15:06
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          1        0        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       30        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         31        1       30        0


var b1 binary >= 0, <= 1;
var b2 binary >= 0, <= 1;
var b3 binary >= 0, <= 1;
var b4 binary >= 0, <= 1;
var b5 binary >= 0, <= 1;
var b6 binary >= 0, <= 1;
var b7 binary >= 0, <= 1;
var b8 binary >= 0, <= 1;
var b9 binary >= 0, <= 1;
var b10 binary >= 0, <= 1;
var b11 binary >= 0, <= 1;
var b12 binary >= 0, <= 1;
var b13 binary >= 0, <= 1;
var b14 binary >= 0, <= 1;
var b15 binary >= 0, <= 1;
var b16 binary >= 0, <= 1;
var b17 binary >= 0, <= 1;
var b18 binary >= 0, <= 1;
var b19 binary >= 0, <= 1;
var b20 binary >= 0, <= 1;
var b21 binary >= 0, <= 1;
var b22 binary >= 0, <= 1;
var b23 binary >= 0, <= 1;
var b24 binary >= 0, <= 1;
var b25 binary >= 0, <= 1;
var b26 binary >= 0, <= 1;
var b27 binary >= 0, <= 1;
var b28 binary >= 0, <= 1;
var b29 binary >= 0, <= 1;
var b30 binary >= 0, <= 1;
var x31;

minimize obj: x31;

subject to

e1: 64*b1*b2*b3*b4 + 64*b2*b3*b4*b5 + 64*b3*b4*b5*b6 + 64*b4*b5*b6*b7 + 64*b5*
    b6*b7*b8 + 64*b6*b7*b8*b9 + 64*b7*b8*b9*b10 + 64*b8*b9*b10*b11 + 64*b9*b10*
    b11*b12 + 64*b10*b11*b12*b13 + 64*b11*b12*b13*b14 + 64*b12*b13*b14*b15 + 64
    *b13*b14*b15*b16 + 64*b14*b15*b16*b17 + 64*b15*b16*b17*b18 + 64*b16*b17*b18
    *b19 + 64*b17*b18*b19*b20 + 64*b18*b19*b20*b21 + 64*b19*b20*b21*b22 + 64*
    b20*b21*b22*b23 + 64*b21*b22*b23*b24 + 64*b22*b23*b24*b25 + 64*b23*b24*b25*
    b26 + 64*b24*b25*b26*b27 + 64*b25*b26*b27*b28 + 64*b26*b27*b28*b29 + 64*b27
    *b28*b29*b30 - 32*b1*b2*b3 - 32*b1*b2*b4 - 32*b1*b3*b4 - 64*b2*b3*b4 - 32*
    b2*b3*b5 - 32*b2*b4*b5 - 64*b3*b4*b5 - 32*b3*b4*b6 - 32*b3*b5*b6 - 64*b4*b5
    *b6 - 32*b4*b5*b7 - 32*b4*b6*b7 - 64*b5*b6*b7 - 32*b5*b6*b8 - 32*b5*b7*b8
     - 64*b6*b7*b8 - 32*b6*b7*b9 - 32*b6*b8*b9 - 64*b7*b8*b9 - 32*b7*b8*b10 - 
    32*b7*b9*b10 - 64*b8*b9*b10 - 32*b8*b9*b11 - 32*b8*b10*b11 - 64*b9*b10*b11
     - 32*b9*b10*b12 - 32*b9*b11*b12 - 64*b10*b11*b12 - 32*b10*b11*b13 - 32*b10
    *b12*b13 - 64*b11*b12*b13 - 32*b11*b12*b14 - 32*b11*b13*b14 - 64*b12*b13*
    b14 - 32*b12*b13*b15 - 32*b12*b14*b15 - 64*b13*b14*b15 - 32*b13*b14*b16 - 
    32*b13*b15*b16 - 64*b14*b15*b16 - 32*b14*b15*b17 - 32*b14*b16*b17 - 64*b15*
    b16*b17 - 32*b15*b16*b18 - 32*b15*b17*b18 - 64*b16*b17*b18 - 32*b16*b17*b19
     - 32*b16*b18*b19 - 64*b17*b18*b19 - 32*b17*b18*b20 - 32*b17*b19*b20 - 64*
    b18*b19*b20 - 32*b18*b19*b21 - 32*b18*b20*b21 - 64*b19*b20*b21 - 32*b19*b20
    *b22 - 32*b19*b21*b22 - 64*b20*b21*b22 - 32*b20*b21*b23 - 32*b20*b22*b23 - 
    64*b21*b22*b23 - 32*b21*b22*b24 - 32*b21*b23*b24 - 64*b22*b23*b24 - 32*b22*
    b23*b25 - 32*b22*b24*b25 - 64*b23*b24*b25 - 32*b23*b24*b26 - 32*b23*b25*b26
     - 64*b24*b25*b26 - 32*b24*b25*b27 - 32*b24*b26*b27 - 64*b25*b26*b27 - 32*
    b25*b26*b28 - 32*b25*b27*b28 - 64*b26*b27*b28 - 32*b26*b27*b29 - 32*b26*b28
    *b29 - 64*b27*b28*b29 - 32*b27*b28*b30 - 32*b27*b29*b30 - 32*b28*b29*b30 + 
    16*b1*b2 + 24*b1*b3 + 16*b1*b4 + 32*b2*b3 + 48*b2*b4 + 16*b2*b5 + 48*b3*b4
     + 48*b3*b5 + 16*b3*b6 + 48*b4*b5 + 48*b4*b6 + 16*b4*b7 + 48*b5*b6 + 48*b5*
    b7 + 16*b5*b8 + 48*b6*b7 + 48*b6*b8 + 16*b6*b9 + 48*b7*b8 + 48*b7*b9 + 16*
    b7*b10 + 48*b8*b9 + 48*b8*b10 + 16*b8*b11 + 48*b9*b10 + 48*b9*b11 + 16*b9*
    b12 + 48*b10*b11 + 48*b10*b12 + 16*b10*b13 + 48*b11*b12 + 48*b11*b13 + 16*
    b11*b14 + 48*b12*b13 + 48*b12*b14 + 16*b12*b15 + 48*b13*b14 + 48*b13*b15 + 
    16*b13*b16 + 48*b14*b15 + 48*b14*b16 + 16*b14*b17 + 48*b15*b16 + 48*b15*b17
     + 16*b15*b18 + 48*b16*b17 + 48*b16*b18 + 16*b16*b19 + 48*b17*b18 + 48*b17*
    b19 + 16*b17*b20 + 48*b18*b19 + 48*b18*b20 + 16*b18*b21 + 48*b19*b20 + 48*
    b19*b21 + 16*b19*b22 + 48*b20*b21 + 48*b20*b22 + 16*b20*b23 + 48*b21*b22 + 
    48*b21*b23 + 16*b21*b24 + 48*b22*b23 + 48*b22*b24 + 16*b22*b25 + 48*b23*b24
     + 48*b23*b25 + 16*b23*b26 + 48*b24*b25 + 48*b24*b26 + 16*b24*b27 + 48*b25*
    b26 + 48*b25*b27 + 16*b25*b28 + 48*b26*b27 + 48*b26*b28 + 16*b26*b29 + 48*
    b27*b28 + 48*b27*b29 + 16*b27*b30 + 32*b28*b29 + 24*b28*b30 + 16*b29*b30 - 
    12*b1 - 24*b2 - 36*b3 - 48*b4 - 48*b5 - 48*b6 - 48*b7 - 48*b8 - 48*b9 - 48*
    b10 - 48*b11 - 48*b12 - 48*b13 - 48*b14 - 48*b15 - 48*b16 - 48*b17 - 48*b18
     - 48*b19 - 48*b20 - 48*b21 - 48*b22 - 48*b23 - 48*b24 - 48*b25 - 48*b26 - 
    48*b27 - 36*b28 - 24*b29 - 12*b30 - x31 <= 0;