#  NLP written by GAMS Convert at 01/12/18 13:32:00
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          8        1        0        7        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#          5        5        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         17       14        3        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1;
var x2;
var x3;
var x4;

minimize obj:    x4;

subject to

e2: x1^4*x2^4 - x1^4 - x2^4*x3 <= 0;

e3:  - x1 - 0.25*x4 <= -1.4;

e4:    x1 - 0.25*x4 <= 1.4;

e5:  - x2 - 0.2*x4 <= -1.5;

e6:    x2 - 0.2*x4 <= 1.5;

e7:  - x3 - 0.2*x4 <= -0.8;

e8:    x3 - 0.2*x4 <= 0.8;