#  MINLP written by GAMS Convert at 01/12/18 13:34:29
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         49       49        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        145        1      144        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        289      145      144        0
# 
#  Reformulation has removed 1 variable and 1 equation


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 b46 binary >= 0, <= 1;
var b47 binary >= 0, <= 1;
var b48 binary >= 0, <= 1;
var b49 binary >= 0, <= 1;
var b50 binary >= 0, <= 1;
var b51 binary >= 0, <= 1;
var b52 binary >= 0, <= 1;
var b53 binary >= 0, <= 1;
var b54 binary >= 0, <= 1;
var b55 binary >= 0, <= 1;
var b56 binary >= 0, <= 1;
var b57 binary >= 0, <= 1;
var b58 binary >= 0, <= 1;
var b59 binary >= 0, <= 1;
var b60 binary >= 0, <= 1;
var b61 binary >= 0, <= 1;
var b62 binary >= 0, <= 1;
var b63 binary >= 0, <= 1;
var b64 binary >= 0, <= 1;
var b65 binary >= 0, <= 1;
var b66 binary >= 0, <= 1;
var b67 binary >= 0, <= 1;
var b68 binary >= 0, <= 1;
var b69 binary >= 0, <= 1;
var b70 binary >= 0, <= 1;
var b71 binary >= 0, <= 1;
var b72 binary >= 0, <= 1;
var b73 binary >= 0, <= 1;
var b74 binary >= 0, <= 1;
var b75 binary >= 0, <= 1;
var b76 binary >= 0, <= 1;
var b77 binary >= 0, <= 1;
var b78 binary >= 0, <= 1;
var b79 binary >= 0, <= 1;
var b80 binary >= 0, <= 1;
var b81 binary >= 0, <= 1;
var b82 binary >= 0, <= 1;
var b83 binary >= 0, <= 1;
var b84 binary >= 0, <= 1;
var b85 binary >= 0, <= 1;
var b86 binary >= 0, <= 1;
var b87 binary >= 0, <= 1;
var b88 binary >= 0, <= 1;
var b89 binary >= 0, <= 1;
var b90 binary >= 0, <= 1;
var b91 binary >= 0, <= 1;
var b92 binary >= 0, <= 1;
var b93 binary >= 0, <= 1;
var b94 binary >= 0, <= 1;
var b95 binary >= 0, <= 1;
var b96 binary >= 0, <= 1;
var b97 binary >= 0, <= 1;
var b98 binary >= 0, <= 1;
var b99 binary >= 0, <= 1;
var b100 binary >= 0, <= 1;
var b101 binary >= 0, <= 1;
var b102 binary >= 0, <= 1;
var b103 binary >= 0, <= 1;
var b104 binary >= 0, <= 1;
var b105 binary >= 0, <= 1;
var b106 binary >= 0, <= 1;
var b107 binary >= 0, <= 1;
var b108 binary >= 0, <= 1;
var b109 binary >= 0, <= 1;
var b110 binary >= 0, <= 1;
var b111 binary >= 0, <= 1;
var b112 binary >= 0, <= 1;
var b113 binary >= 0, <= 1;
var b114 binary >= 0, <= 1;
var b115 binary >= 0, <= 1;
var b116 binary >= 0, <= 1;
var b117 binary >= 0, <= 1;
var b118 binary >= 0, <= 1;
var b119 binary >= 0, <= 1;
var b120 binary >= 0, <= 1;
var b121 binary >= 0, <= 1;
var b122 binary >= 0, <= 1;
var b123 binary >= 0, <= 1;
var b124 binary >= 0, <= 1;
var b125 binary >= 0, <= 1;
var b126 binary >= 0, <= 1;
var b127 binary >= 0, <= 1;
var b128 binary >= 0, <= 1;
var b129 binary >= 0, <= 1;
var b130 binary >= 0, <= 1;
var b131 binary >= 0, <= 1;
var b132 binary >= 0, <= 1;
var b133 binary >= 0, <= 1;
var b134 binary >= 0, <= 1;
var b135 binary >= 0, <= 1;
var b136 binary >= 0, <= 1;
var b137 binary >= 0, <= 1;
var b138 binary >= 0, <= 1;
var b139 binary >= 0, <= 1;
var b140 binary >= 0, <= 1;
var b141 binary >= 0, <= 1;
var b142 binary >= 0, <= 1;
var b143 binary >= 0, <= 1;
var b144 binary >= 0, <= 1;

minimize obj: b1*b4 + b1*b10 + b1*b13 - b1*b25 + b1*b37 - b1*b109 + b2*b5 + b2*
    b11 + b2*b14 - b2*b26 + b2*b38 - b2*b110 + b3*b6 + b3*b12 + b3*b15 - b3*b27
     + b3*b39 - b3*b111 - b4*b7 - b4*b16 - b4*b28 - b4*b40 - b4*b112 - b5*b8 - 
    b5*b17 - b5*b29 - b5*b41 - b5*b113 - b6*b9 - b6*b18 - b6*b30 - b6*b42 - b6*
    b114 - b7*b10 + b7*b19 - b7*b31 - b7*b43 + b7*b115 - b8*b11 + b8*b20 - b8*
    b32 - b8*b44 + b8*b116 - b9*b12 + b9*b21 - b9*b33 - b9*b45 + b9*b117 - b10*
    b22 - b10*b34 + b10*b46 + b10*b118 - b11*b23 - b11*b35 + b11*b47 + b11*b119
     - b12*b24 - b12*b36 + b12*b48 + b12*b120 + b13*b16 + b13*b22 - b13*b25 + 
    b13*b49 + b13*b121 + b14*b17 + b14*b23 - b14*b26 + b14*b50 + b14*b122 + b15
    *b18 + b15*b24 - b15*b27 + b15*b51 + b15*b123 - b16*b19 + b16*b28 + b16*b52
     + b16*b124 - b17*b20 + b17*b29 + b17*b53 + b17*b125 - b18*b21 + b18*b30 + 
    b18*b54 + b18*b126 + b19*b22 - b19*b31 - b19*b55 + b19*b127 + b20*b23 - b20
    *b32 - b20*b56 + b20*b128 + b21*b24 - b21*b33 - b21*b57 + b21*b129 + b22*
    b34 + b22*b58 + b22*b130 + b23*b35 + b23*b59 + b23*b131 + b24*b36 + b24*b60
     + b24*b132 + b25*b28 - b25*b34 + b25*b61 + b25*b133 + b26*b29 - b26*b35 + 
    b26*b62 + b26*b134 + b27*b30 - b27*b36 + b27*b63 + b27*b135 - b28*b31 - b28
    *b64 - b28*b136 - b29*b32 - b29*b65 - b29*b137 - b30*b33 - b30*b66 - b30*
    b138 - b31*b34 + b31*b67 - b31*b139 - b32*b35 + b32*b68 - b32*b140 - b33*
    b36 + b33*b69 - b33*b141 - b34*b70 - b34*b142 - b35*b71 - b35*b143 - b36*
    b72 - b36*b144 + b37*b40 - b37*b46 - b37*b49 + b37*b61 - b37*b73 + b38*b41
     - b38*b47 - b38*b50 + b38*b62 - b38*b74 + b39*b42 - b39*b48 - b39*b51 + 
    b39*b63 - b39*b75 + b40*b43 - b40*b52 + b40*b64 - b40*b76 + b41*b44 - b41*
    b53 + b41*b65 - b41*b77 + b42*b45 - b42*b54 + b42*b66 - b42*b78 - b43*b46
     + b43*b55 + b43*b67 - b43*b79 - b44*b47 + b44*b56 + b44*b68 - b44*b80 - 
    b45*b48 + b45*b57 + b45*b69 - b45*b81 - b46*b58 + b46*b70 - b46*b82 - b47*
    b59 + b47*b71 - b47*b83 - b48*b60 + b48*b72 - b48*b84 - b49*b52 + b49*b58
     + b49*b61 + b49*b85 - b50*b53 + b50*b59 + b50*b62 + b50*b86 - b51*b54 + 
    b51*b60 + b51*b63 + b51*b87 - b52*b55 - b52*b64 - b52*b88 - b53*b56 - b53*
    b65 - b53*b89 - b54*b57 - b54*b66 - b54*b90 - b55*b58 - b55*b67 + b55*b91
     - b56*b59 - b56*b68 + b56*b92 - b57*b60 - b57*b69 + b57*b93 - b58*b70 + 
    b58*b94 - b59*b71 + b59*b95 - b60*b72 + b60*b96 - b61*b64 + b61*b70 - b61*
    b97 - b62*b65 + b62*b71 - b62*b98 - b63*b66 + b63*b72 - b63*b99 + b64*b67
     - b64*b100 + b65*b68 - b65*b101 + b66*b69 - b66*b102 - b67*b70 + b67*b103
     - b68*b71 + b68*b104 - b69*b72 + b69*b105 + b70*b106 + b71*b107 + b72*b108
     - b73*b76 - b73*b82 + b73*b85 - b73*b97 + b73*b109 - b74*b77 - b74*b83 + 
    b74*b86 - b74*b98 + b74*b110 - b75*b78 - b75*b84 + b75*b87 - b75*b99 + b75*
    b111 - b76*b79 + b76*b88 + b76*b100 - b76*b112 - b77*b80 + b77*b89 + b77*
    b101 - b77*b113 - b78*b81 + b78*b90 + b78*b102 - b78*b114 + b79*b82 - b79*
    b91 - b79*b103 + b79*b115 + b80*b83 - b80*b92 - b80*b104 + b80*b116 + b81*
    b84 - b81*b93 - b81*b105 + b81*b117 - b82*b94 + b82*b106 + b82*b118 - b83*
    b95 + b83*b107 + b83*b119 - b84*b96 + b84*b108 + b84*b120 + b85*b88 - b85*
    b94 + b85*b97 + b85*b121 + b86*b89 - b86*b95 + b86*b98 + b86*b122 + b87*b90
     - b87*b96 + b87*b99 + b87*b123 + b88*b91 + b88*b100 - b88*b124 + b89*b92
     + b89*b101 - b89*b125 + b90*b93 + b90*b102 - b90*b126 + b91*b94 - b91*b103
     + b91*b127 + b92*b95 - b92*b104 + b92*b128 + b93*b96 - b93*b105 + b93*b129
     - b94*b106 + b94*b130 - b95*b107 + b95*b131 - b96*b108 + b96*b132 - b97*
    b100 + b97*b106 - b97*b133 - b98*b101 + b98*b107 - b98*b134 - b99*b102 + 
    b99*b108 - b99*b135 + b100*b103 + b100*b136 + b101*b104 + b101*b137 + b102*
    b105 + b102*b138 - b103*b106 - b103*b139 - b104*b107 - b104*b140 - b105*
    b108 - b105*b141 + b106*b142 + b107*b143 + b108*b144 - b109*b112 - b109*
    b118 + b109*b121 - b109*b133 - b110*b113 - b110*b119 + b110*b122 - b110*
    b134 - b111*b114 - b111*b120 + b111*b123 - b111*b135 - b112*b115 - b112*
    b124 + b112*b136 - b113*b116 - b113*b125 + b113*b137 - b114*b117 - b114*
    b126 + b114*b138 - b115*b118 - b115*b127 - b115*b139 - b116*b119 - b116*
    b128 - b116*b140 - b117*b120 - b117*b129 - b117*b141 + b118*b130 + b118*
    b142 + b119*b131 + b119*b143 + b120*b132 + b120*b144 + b121*b124 - b121*
    b130 - b121*b133 + b122*b125 - b122*b131 - b122*b134 + b123*b126 - b123*
    b132 - b123*b135 + b124*b127 + b124*b136 + b125*b128 + b125*b137 + b126*
    b129 + b126*b138 + b127*b130 - b127*b139 + b128*b131 - b128*b140 + b129*
    b132 - b129*b141 + b130*b142 + b131*b143 + b132*b144 + b133*b136 + b133*
    b142 + b134*b137 + b134*b143 + b135*b138 + b135*b144 + b136*b139 + b137*
    b140 + b138*b141 - b139*b142 - b140*b143 - b141*b144;

subject to

e1:    b1 + b2 + b3 = 1;

e2:    b4 + b5 + b6 = 1;

e3:    b7 + b8 + b9 = 1;

e4:    b10 + b11 + b12 = 1;

e5:    b13 + b14 + b15 = 1;

e6:    b16 + b17 + b18 = 1;

e7:    b19 + b20 + b21 = 1;

e8:    b22 + b23 + b24 = 1;

e9:    b25 + b26 + b27 = 1;

e10:    b28 + b29 + b30 = 1;

e11:    b31 + b32 + b33 = 1;

e12:    b34 + b35 + b36 = 1;

e13:    b37 + b38 + b39 = 1;

e14:    b40 + b41 + b42 = 1;

e15:    b43 + b44 + b45 = 1;

e16:    b46 + b47 + b48 = 1;

e17:    b49 + b50 + b51 = 1;

e18:    b52 + b53 + b54 = 1;

e19:    b55 + b56 + b57 = 1;

e20:    b58 + b59 + b60 = 1;

e21:    b61 + b62 + b63 = 1;

e22:    b64 + b65 + b66 = 1;

e23:    b67 + b68 + b69 = 1;

e24:    b70 + b71 + b72 = 1;

e25:    b73 + b74 + b75 = 1;

e26:    b76 + b77 + b78 = 1;

e27:    b79 + b80 + b81 = 1;

e28:    b82 + b83 + b84 = 1;

e29:    b85 + b86 + b87 = 1;

e30:    b88 + b89 + b90 = 1;

e31:    b91 + b92 + b93 = 1;

e32:    b94 + b95 + b96 = 1;

e33:    b97 + b98 + b99 = 1;

e34:    b100 + b101 + b102 = 1;

e35:    b103 + b104 + b105 = 1;

e36:    b106 + b107 + b108 = 1;

e37:    b109 + b110 + b111 = 1;

e38:    b112 + b113 + b114 = 1;

e39:    b115 + b116 + b117 = 1;

e40:    b118 + b119 + b120 = 1;

e41:    b121 + b122 + b123 = 1;

e42:    b124 + b125 + b126 = 1;

e43:    b127 + b128 + b129 = 1;

e44:    b130 + b131 + b132 = 1;

e45:    b133 + b134 + b135 = 1;

e46:    b136 + b137 + b138 = 1;

e47:    b139 + b140 + b141 = 1;

e48:    b142 + b143 + b144 = 1;