$Set N 5
Set I /i1*i%N%/;

Parameter l(i) /i1  -2.3 ,i2  -2.3 ,i3  -3.2 ,i4  -3.2 ,i5  -3.2 /;
Parameter u(i) /i1  2.3 ,i2  2.3 ,i3  3.2 ,i4  3.2 ,i5  3.2 /;

Variable x(i) , obj ;
Equation constr1 , constr2 , constr3 , Def_obj ;

constr1..  sum{i,sqr(x[i])}                     =e= 10 ;
constr2..  x['i2']*x['i3'] - 5*x['i4']*x['i5']  =e=  0 ;
constr3..  power(x['i1'],3) + power(x['i2'],3)  =e= -1 ;
Def_obj..  obj=e=exp(prod{i, x[i]})                    ;

x.lo[i] = l(i);
x.up[i] = u(i);

x.l['i1'] = -2;
x.l['i2'] =  2;
x.l['i3'] =  2;
x.l['i4'] = -1;
x.l['i5'] = -1;

* "optimal solution as starting point ";
*x.l['i1'] = -1.717143;
*x.l['i2'] =  1.595709;
*x.l['i3'] =  1.827247;
*x.l['i4'] = -0.7636413;
*x.l['i5'] = -0.7636450;

Model hs080 /all/;

Solve hs080 using nlp minimazing obj ;

obj.l = obj.l - 0.0539498478;
display x.l;
display obj.l;