#  NLP written by GAMS Convert at 01/12/18 13:31:51
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          7        5        0        2        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#          7        7        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         34       24       10        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 >= -2, <= 2;
var x2 >= -2, <= 2;
var x3 >= -2, <= 2;
var x4 >= -2, <= 2;
var x5 >= -2, <= 2;
var x6;

minimize obj:    x6;

subject to

e2:    2*x1 + x2 + x3 + x4 + x5 = 6;

e3:    x1 + 2*x2 + x3 + x4 + x5 = 6;

e4:    x1 + x2 + 2*x3 + x4 + x5 = 6;

e5:    x1 + x2 + x3 + 2*x4 + x5 = 6;

e6: x1*x2*x3*x4*x5 - x6 <= 1;

e7: -x1*x2*x3*x4*x5 - x6 <= -1;