#  MINLP written by GAMS Convert at 01/12/18 13:15:56
#  
#  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
#         46        1       45        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         46        1       45        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 b31 binary >= 0, <= 1;
var b32 binary >= 0, <= 1;
var b33 binary >= 0, <= 1;
var b34 binary >= 0, <= 1;
var b35 binary >= 0, <= 1;
var b36 binary >= 0, <= 1;
var b37 binary >= 0, <= 1;
var b38 binary >= 0, <= 1;
var b39 binary >= 0, <= 1;
var b40 binary >= 0, <= 1;
var b41 binary >= 0, <= 1;
var b42 binary >= 0, <= 1;
var b43 binary >= 0, <= 1;
var b44 binary >= 0, <= 1;
var b45 binary >= 0, <= 1;
var x46;

minimize obj: x46;

subject to

e1: 64*b1*b2*b3*b4 + 64*b1*b2*b4*b5 + 128*b2*b3*b4*b5 + 64*b2*b3*b5*b6 + 128*b3
    *b4*b5*b6 + 64*b3*b4*b6*b7 + 128*b4*b5*b6*b7 + 64*b4*b5*b7*b8 + 128*b5*b6*
    b7*b8 + 64*b5*b6*b8*b9 + 128*b6*b7*b8*b9 + 64*b6*b7*b9*b10 + 128*b7*b8*b9*
    b10 + 64*b7*b8*b10*b11 + 128*b8*b9*b10*b11 + 64*b8*b9*b11*b12 + 128*b9*b10*
    b11*b12 + 64*b9*b10*b12*b13 + 128*b10*b11*b12*b13 + 64*b10*b11*b13*b14 + 
    128*b11*b12*b13*b14 + 64*b11*b12*b14*b15 + 128*b12*b13*b14*b15 + 64*b12*b13
    *b15*b16 + 128*b13*b14*b15*b16 + 64*b13*b14*b16*b17 + 128*b14*b15*b16*b17
     + 64*b14*b15*b17*b18 + 128*b15*b16*b17*b18 + 64*b15*b16*b18*b19 + 128*b16*
    b17*b18*b19 + 64*b16*b17*b19*b20 + 128*b17*b18*b19*b20 + 64*b17*b18*b20*b21
     + 128*b18*b19*b20*b21 + 64*b18*b19*b21*b22 + 128*b19*b20*b21*b22 + 64*b19*
    b20*b22*b23 + 128*b20*b21*b22*b23 + 64*b20*b21*b23*b24 + 128*b21*b22*b23*
    b24 + 64*b21*b22*b24*b25 + 128*b22*b23*b24*b25 + 64*b22*b23*b25*b26 + 128*
    b23*b24*b25*b26 + 64*b23*b24*b26*b27 + 128*b24*b25*b26*b27 + 64*b24*b25*b27
    *b28 + 128*b25*b26*b27*b28 + 64*b25*b26*b28*b29 + 128*b26*b27*b28*b29 + 64*
    b26*b27*b29*b30 + 128*b27*b28*b29*b30 + 64*b27*b28*b30*b31 + 128*b28*b29*
    b30*b31 + 64*b28*b29*b31*b32 + 128*b29*b30*b31*b32 + 64*b29*b30*b32*b33 + 
    128*b30*b31*b32*b33 + 64*b30*b31*b33*b34 + 128*b31*b32*b33*b34 + 64*b31*b32
    *b34*b35 + 128*b32*b33*b34*b35 + 64*b32*b33*b35*b36 + 128*b33*b34*b35*b36
     + 64*b33*b34*b36*b37 + 128*b34*b35*b36*b37 + 64*b34*b35*b37*b38 + 128*b35*
    b36*b37*b38 + 64*b35*b36*b38*b39 + 128*b36*b37*b38*b39 + 64*b36*b37*b39*b40
     + 128*b37*b38*b39*b40 + 64*b37*b38*b40*b41 + 128*b38*b39*b40*b41 + 64*b38*
    b39*b41*b42 + 128*b39*b40*b41*b42 + 64*b39*b40*b42*b43 + 128*b40*b41*b42*
    b43 + 64*b40*b41*b43*b44 + 128*b41*b42*b43*b44 + 64*b41*b42*b44*b45 + 64*
    b42*b43*b44*b45 - 32*b1*b2*b3 - 64*b1*b2*b4 - 32*b1*b2*b5 - 32*b1*b3*b4 - 
    32*b1*b4*b5 - 96*b2*b3*b4 - 96*b2*b3*b5 - 32*b2*b3*b6 - 96*b2*b4*b5 - 32*b2
    *b5*b6 - 128*b3*b4*b5 - 96*b3*b4*b6 - 32*b3*b4*b7 - 96*b3*b5*b6 - 32*b3*b6*
    b7 - 128*b4*b5*b6 - 96*b4*b5*b7 - 32*b4*b5*b8 - 96*b4*b6*b7 - 32*b4*b7*b8
     - 128*b5*b6*b7 - 96*b5*b6*b8 - 32*b5*b6*b9 - 96*b5*b7*b8 - 32*b5*b8*b9 - 
    128*b6*b7*b8 - 96*b6*b7*b9 - 32*b6*b7*b10 - 96*b6*b8*b9 - 32*b6*b9*b10 - 
    128*b7*b8*b9 - 96*b7*b8*b10 - 32*b7*b8*b11 - 96*b7*b9*b10 - 32*b7*b10*b11
     - 128*b8*b9*b10 - 96*b8*b9*b11 - 32*b8*b9*b12 - 96*b8*b10*b11 - 32*b8*b11*
    b12 - 128*b9*b10*b11 - 96*b9*b10*b12 - 32*b9*b10*b13 - 96*b9*b11*b12 - 32*
    b9*b12*b13 - 128*b10*b11*b12 - 96*b10*b11*b13 - 32*b10*b11*b14 - 96*b10*b12
    *b13 - 32*b10*b13*b14 - 128*b11*b12*b13 - 96*b11*b12*b14 - 32*b11*b12*b15
     - 96*b11*b13*b14 - 32*b11*b14*b15 - 128*b12*b13*b14 - 96*b12*b13*b15 - 32*
    b12*b13*b16 - 96*b12*b14*b15 - 32*b12*b15*b16 - 128*b13*b14*b15 - 96*b13*
    b14*b16 - 32*b13*b14*b17 - 96*b13*b15*b16 - 32*b13*b16*b17 - 128*b14*b15*
    b16 - 96*b14*b15*b17 - 32*b14*b15*b18 - 96*b14*b16*b17 - 32*b14*b17*b18 - 
    128*b15*b16*b17 - 96*b15*b16*b18 - 32*b15*b16*b19 - 96*b15*b17*b18 - 32*b15
    *b18*b19 - 128*b16*b17*b18 - 96*b16*b17*b19 - 32*b16*b17*b20 - 96*b16*b18*
    b19 - 32*b16*b19*b20 - 128*b17*b18*b19 - 96*b17*b18*b20 - 32*b17*b18*b21 - 
    96*b17*b19*b20 - 32*b17*b20*b21 - 128*b18*b19*b20 - 96*b18*b19*b21 - 32*b18
    *b19*b22 - 96*b18*b20*b21 - 32*b18*b21*b22 - 128*b19*b20*b21 - 96*b19*b20*
    b22 - 32*b19*b20*b23 - 96*b19*b21*b22 - 32*b19*b22*b23 - 128*b20*b21*b22 - 
    96*b20*b21*b23 - 32*b20*b21*b24 - 96*b20*b22*b23 - 32*b20*b23*b24 - 128*b21
    *b22*b23 - 96*b21*b22*b24 - 32*b21*b22*b25 - 96*b21*b23*b24 - 32*b21*b24*
    b25 - 128*b22*b23*b24 - 96*b22*b23*b25 - 32*b22*b23*b26 - 96*b22*b24*b25 - 
    32*b22*b25*b26 - 128*b23*b24*b25 - 96*b23*b24*b26 - 32*b23*b24*b27 - 96*b23
    *b25*b26 - 32*b23*b26*b27 - 128*b24*b25*b26 - 96*b24*b25*b27 - 32*b24*b25*
    b28 - 96*b24*b26*b27 - 32*b24*b27*b28 - 128*b25*b26*b27 - 96*b25*b26*b28 - 
    32*b25*b26*b29 - 96*b25*b27*b28 - 32*b25*b28*b29 - 128*b26*b27*b28 - 96*b26
    *b27*b29 - 32*b26*b27*b30 - 96*b26*b28*b29 - 32*b26*b29*b30 - 128*b27*b28*
    b29 - 96*b27*b28*b30 - 32*b27*b28*b31 - 96*b27*b29*b30 - 32*b27*b30*b31 - 
    128*b28*b29*b30 - 96*b28*b29*b31 - 32*b28*b29*b32 - 96*b28*b30*b31 - 32*b28
    *b31*b32 - 128*b29*b30*b31 - 96*b29*b30*b32 - 32*b29*b30*b33 - 96*b29*b31*
    b32 - 32*b29*b32*b33 - 128*b30*b31*b32 - 96*b30*b31*b33 - 32*b30*b31*b34 - 
    96*b30*b32*b33 - 32*b30*b33*b34 - 128*b31*b32*b33 - 96*b31*b32*b34 - 32*b31
    *b32*b35 - 96*b31*b33*b34 - 32*b31*b34*b35 - 128*b32*b33*b34 - 96*b32*b33*
    b35 - 32*b32*b33*b36 - 96*b32*b34*b35 - 32*b32*b35*b36 - 128*b33*b34*b35 - 
    96*b33*b34*b36 - 32*b33*b34*b37 - 96*b33*b35*b36 - 32*b33*b36*b37 - 128*b34
    *b35*b36 - 96*b34*b35*b37 - 32*b34*b35*b38 - 96*b34*b36*b37 - 32*b34*b37*
    b38 - 128*b35*b36*b37 - 96*b35*b36*b38 - 32*b35*b36*b39 - 96*b35*b37*b38 - 
    32*b35*b38*b39 - 128*b36*b37*b38 - 96*b36*b37*b39 - 32*b36*b37*b40 - 96*b36
    *b38*b39 - 32*b36*b39*b40 - 128*b37*b38*b39 - 96*b37*b38*b40 - 32*b37*b38*
    b41 - 96*b37*b39*b40 - 32*b37*b40*b41 - 128*b38*b39*b40 - 96*b38*b39*b41 - 
    32*b38*b39*b42 - 96*b38*b40*b41 - 32*b38*b41*b42 - 128*b39*b40*b41 - 96*b39
    *b40*b42 - 32*b39*b40*b43 - 96*b39*b41*b42 - 32*b39*b42*b43 - 128*b40*b41*
    b42 - 96*b40*b41*b43 - 32*b40*b41*b44 - 96*b40*b42*b43 - 32*b40*b43*b44 - 
    128*b41*b42*b43 - 96*b41*b42*b44 - 32*b41*b42*b45 - 96*b41*b43*b44 - 32*b41
    *b44*b45 - 96*b42*b43*b44 - 32*b42*b43*b45 - 64*b42*b44*b45 - 32*b43*b44*
    b45 + 32*b1*b2 + 24*b1*b3 + 32*b1*b4 + 24*b1*b5 + 64*b2*b3 + 80*b2*b4 + 64*
    b2*b5 + 24*b2*b6 + 96*b3*b4 + 104*b3*b5 + 64*b3*b6 + 24*b3*b7 + 128*b4*b5
     + 104*b4*b6 + 64*b4*b7 + 24*b4*b8 + 128*b5*b6 + 104*b5*b7 + 64*b5*b8 + 24*
    b5*b9 + 128*b6*b7 + 104*b6*b8 + 64*b6*b9 + 24*b6*b10 + 128*b7*b8 + 104*b7*
    b9 + 64*b7*b10 + 24*b7*b11 + 128*b8*b9 + 104*b8*b10 + 64*b8*b11 + 24*b8*b12
     + 128*b9*b10 + 104*b9*b11 + 64*b9*b12 + 24*b9*b13 + 128*b10*b11 + 104*b10*
    b12 + 64*b10*b13 + 24*b10*b14 + 128*b11*b12 + 104*b11*b13 + 64*b11*b14 + 24
    *b11*b15 + 128*b12*b13 + 104*b12*b14 + 64*b12*b15 + 24*b12*b16 + 128*b13*
    b14 + 104*b13*b15 + 64*b13*b16 + 24*b13*b17 + 128*b14*b15 + 104*b14*b16 + 
    64*b14*b17 + 24*b14*b18 + 128*b15*b16 + 104*b15*b17 + 64*b15*b18 + 24*b15*
    b19 + 128*b16*b17 + 104*b16*b18 + 64*b16*b19 + 24*b16*b20 + 128*b17*b18 + 
    104*b17*b19 + 64*b17*b20 + 24*b17*b21 + 128*b18*b19 + 104*b18*b20 + 64*b18*
    b21 + 24*b18*b22 + 128*b19*b20 + 104*b19*b21 + 64*b19*b22 + 24*b19*b23 + 
    128*b20*b21 + 104*b20*b22 + 64*b20*b23 + 24*b20*b24 + 128*b21*b22 + 104*b21
    *b23 + 64*b21*b24 + 24*b21*b25 + 128*b22*b23 + 104*b22*b24 + 64*b22*b25 + 
    24*b22*b26 + 128*b23*b24 + 104*b23*b25 + 64*b23*b26 + 24*b23*b27 + 128*b24*
    b25 + 104*b24*b26 + 64*b24*b27 + 24*b24*b28 + 128*b25*b26 + 104*b25*b27 + 
    64*b25*b28 + 24*b25*b29 + 128*b26*b27 + 104*b26*b28 + 64*b26*b29 + 24*b26*
    b30 + 128*b27*b28 + 104*b27*b29 + 64*b27*b30 + 24*b27*b31 + 128*b28*b29 + 
    104*b28*b30 + 64*b28*b31 + 24*b28*b32 + 128*b29*b30 + 104*b29*b31 + 64*b29*
    b32 + 24*b29*b33 + 128*b30*b31 + 104*b30*b32 + 64*b30*b33 + 24*b30*b34 + 
    128*b31*b32 + 104*b31*b33 + 64*b31*b34 + 24*b31*b35 + 128*b32*b33 + 104*b32
    *b34 + 64*b32*b35 + 24*b32*b36 + 128*b33*b34 + 104*b33*b35 + 64*b33*b36 + 
    24*b33*b37 + 128*b34*b35 + 104*b34*b36 + 64*b34*b37 + 24*b34*b38 + 128*b35*
    b36 + 104*b35*b37 + 64*b35*b38 + 24*b35*b39 + 128*b36*b37 + 104*b36*b38 + 
    64*b36*b39 + 24*b36*b40 + 128*b37*b38 + 104*b37*b39 + 64*b37*b40 + 24*b37*
    b41 + 128*b38*b39 + 104*b38*b40 + 64*b38*b41 + 24*b38*b42 + 128*b39*b40 + 
    104*b39*b41 + 64*b39*b42 + 24*b39*b43 + 128*b40*b41 + 104*b40*b42 + 64*b40*
    b43 + 24*b40*b44 + 128*b41*b42 + 104*b41*b43 + 64*b41*b44 + 24*b41*b45 + 96
    *b42*b43 + 80*b42*b44 + 32*b42*b45 + 64*b43*b44 + 24*b43*b45 + 32*b44*b45
     - 24*b1 - 52*b2 - 76*b3 - 104*b4 - 128*b5 - 128*b6 - 128*b7 - 128*b8 - 128
    *b9 - 128*b10 - 128*b11 - 128*b12 - 128*b13 - 128*b14 - 128*b15 - 128*b16
     - 128*b17 - 128*b18 - 128*b19 - 128*b20 - 128*b21 - 128*b22 - 128*b23 - 
    128*b24 - 128*b25 - 128*b26 - 128*b27 - 128*b28 - 128*b29 - 128*b30 - 128*
    b31 - 128*b32 - 128*b33 - 128*b34 - 128*b35 - 128*b36 - 128*b37 - 128*b38
     - 128*b39 - 128*b40 - 128*b41 - 104*b42 - 76*b43 - 52*b44 - 24*b45 - x46
     <= 0;
