****************************************************************************************************************
Important Note:

Please cite the following article(s):
1. C. S. Pedamallu, L. Ozdamar, and M. Ceberio, Efficient interval partitioning-local search collaboration for constraint satisfaction, Computers and OR, Special Issue on Algorithms for feasibility and Infeasibility. 35:1412-1435, 2008
2. C. S. Pedamallu, A. Kumar, and T. Csendes, J. Posfai, An interval partitioning algorithm for constraint satisfaction problems, IJMIC special issue on "Nonlinear Optimisation with Engineering and Scientific Applications. Accepted, 2008.
3. C. S. Pedamallu, and L. Ozdamar. A collaborative solution Methodology for Inverse position problem. In: Global Optimization: Scientific and Engineering Case Studies, ed: J. Pinter, Springer, The Netherlands, 2006. ISBN-10:0-387-30408-8

For original reference for the below problem please refer the above article.
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1. Kin2
nnoneq=8//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=8//total no of equalities
dim=8//dimension starts from 1.
dessolution=10//no of solutions available
(x1^2)+(x2^2)-1=0
(x3^2)+(x4^2)-1=0
(x5^2)+(x6^2)-1=0
(x7^2)+(x8^2)-1=0
0.049207290-(0.24915068*(x3*x1))+(0.27942343*(x3*x2))-(0.38615961*x3)+(1.6091354*(x4*x1))+(1.4348016*(x4*x2))-(0.75526603*x4)+(0.40026384*(x8*x5))+(0.049207290*x8)-(0.80052768*(x6*x7))-(1.0916287*x6)+(0.074052388*x1)-(0.083050031*x2)+(0.50420168*x5)=0
0.013873010+(0.12501635*(x3*x1))-(0.11922812*(x3*x2))+(0.085383482*x3)-(0.68660736*(x4*x1))-(0.71994047*(x4*x2))-(0.43241927*(x7*x5))-(0.43241927*x7)-(0.037157270*x1)+(0.035436896*x2)-(0.039251967*x5)-(0.86483855*(x6*x8))=0
2.1625750-(0.63555007*(x3*x1))-(0.66640448*(x3*x2))-(0.11571992*(x4*x1))+(0.11036211*(x4*x2))-(0.079034221*x4)+(0.29070203*(x7*x5))-(0.62938836*(x7*x6))-(1.1628081*x7)+(1.2587767*(x8*x5))+(0.58140406*(x8*x6))+(1.2587767*x8)+(0.19594662*x1)-(1.2280342*x2)+(0.026387877*x5)-(0.057131430*x6)=0
(1.4894773*(x3*x1))+(1.3281073*(x3*x2))-(0.69910317*x3)+(0.23062341*(x4*x1))-(0.25864503*(x4*x2))+(0.35744413*x4)+(1.1651720*(x7*x5))+(0.53816987*(x7*x6))+(1.1651720*x7)-(0.26908494*(x8*x5))+(0.58258598*(x8*x6))+(1.0763397*x8)-(0.20816985*x1)+(2.6868320*x2)+(1.2499117*x5)+(1.4677360*x6)-0.69686809=0
x1=[-1,1]
x2=[-1,1]
x3=[-1,1]
x4=[-1,1]
x5=[-1,1]
x6=[-1,1]
x7=[-1,1]
x8=[-1,1]

2. Kin1 Modified
nnoneq=6//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=6//total no of equalities
dim=6//dimension starts from 1.
dessolution=16//no of solutions available
(Sin(x2)*(Cos(x5)*Sin(x6)))-(Sin(x3)*(Cos(x5)*Sin(x6)))-(Sin(x4)*(Cos(x5)*Sin(x6)))+(Cos(x2)*Cos(x6))+(Cos(x3)*Cos(x6))+(Cos(x4)*Cos(x6))-0.4077=0
(Cos(x1)*(Cos(x2)*Sin(x5)))+(Cos(x1)*(Cos(x3)*Sin(x5)))+(Cos(x1)*(Cos(x4)*Sin(x5)))+(Sin(x1)*Cos(x5))-1.9115=0
(Sin(x2)*Sin(x5))+(Sin(x3)*Sin(x5))+(Sin(x4)*Sin(x5))-1.9791=0
(3*(Cos(x1)*Cos(x2)))+(2*(Cos(x1)*Cos(x3)))+(Cos(x1)*Cos(x4))-4.0616=0
(3*(Sin(x1)*Cos(x2)))+(2*(Sin(x1)*Cos(x3)))+(Sin(x1)*Cos(x4))-1.7172=0
(3*Sin(x2))+(2*Sin(x3))+(Sin(x4))-3.9701=0
x1=[0,6.2831853]
x2=[0,6.2831853]
x3=[0,6.2831853]
x4=[0,6.2831853]
x5=[0,6.2831853]
x6=[0,6.2831853]

3: Kincox
nnoneq=4//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=4//total no of equalities
dim=4//dimension starts from 1.
dessolution=2//no of solutions available
(10*x1)+(6*(x1*x2))-(6*(x3*x4))-1=0
(6*(x1*x4))+(6*(x2*x3))+(10*x3)-4=0
(x1^2)+(x3^2)-1=0
(x2^2)+(x4^2)-1=0
x1=[-1,1]
x2=[-1,1]
x3=[-1,1]
x4=[-1,1]

4:// Direct Kinematics
nnoneq=11//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=11//total no of equalities
dim=11//dimension starts from 1.
dessolution=2//no of solutions available
(xc^2)+(yc^2)+(zc^2)-164=0
304.0192-(20*xc)-(300*Cos(p))+(100*(Sin(p)*Cos(t)))-(10*yc)-(150*Sin(p))-(50*(Cos(p)*Cos(t)))+(30*(xc*Cos(p)))-(10*(xc*(Sin(p)*Cos(t))))+(30*(yc*Sin(p)))+(10*(yc*(Cos(p)*Cos(t))))+(10*(zc*Sin(t)))=0
304.0192+(20*xc)-(300*Cos(p))-(100*(Sin(p)*Cos(t)))-(10*yc)+(150*Sin(p))-(50*(Cos(p)*Cos(t)))-(30*(xc*Cos(p)))-(10*(xc*(Sin(p)*Cos(t))))-(30*(yc*Sin(p)))+(10*(yc*(Cos(p)*Cos(t))))+(10*(zc*Sin(t)))=0
((x1+7)^2)+((y1-15)^2)+(z1^2)-25=0
((((x1-xc)*Cos(p))+((y1-yc)*Sin(p))+7)^2)+((((y1*(Cos(t)*Cos(p)))-(yc*(Cos(t)*Cos(p))))-(((x1*(Cos(t)*Sin(p)))-(xc*(Cos(t)*Sin(p)))))+((z1-zc)*Sin(t))-7.011678)^2)+((((x1*(Sin(t)*Sin(p)))-(xc*(Sin(t)*Sin(p))))-(((y1*(Sin(t)*Cos(p)))-(yc*(Sin(t)*Cos(p)))))+((z1-zc)*Cos(t))+4.065716)^2)-25.46010=0
((x2-7)^2)+((y2-15)^2)+(z2^2)-25=0
((((x2-xc)*Cos(p))+((y2-yc)*Sin(p))-7)^2)+((((y2*(Cos(t)*Cos(p)))-(yc*(Cos(t)*Cos(p))))-(((x2*(Cos(t)*Sin(p)))-(xc*(Cos(t)*Sin(p)))))+((z2-zc)*Sin(t))-7.011678)^2)+((((x2*(Sin(t)*Sin(p)))-(xc*(Sin(t)*Sin(p))))-(((y2*(Sin(t)*Cos(p)))-(yc*(Sin(t)*Cos(p)))))+((z2-zc)*Cos(t))+4.065716)^2)-25.46010=0
(60*z1)-(4*(z1*yc))+(((28.04672*y1)-420.7008)*Sin(t))+((243.9430-(16.26286*y1))*Cos(t))+(28*(z1*Sin(p)))-(((28.04672*(Cos(t)*z1))+(16.26286*(Sin(t)*z1)))*Cos(p))+(((4*y1)-60)*zc)=0
(28*z1)+(4*(z1*xc))-((196.3270+(28.04672*x1))*Sin(t))+((113.8400+(16.26286*x1))*Cos(t))-(((16.26286*(Sin(t)*z1))+(28.04672*(Cos(t)*z1)))*Sin(p))-(28*(z1*Cos(p)))-(((4*x1)+28)*zc)=0
(60*z2)-(4*(z2*yc))+(((28.04672*y2)-420.7008)*Sin(t))+((243.9430-(16.26286*y2))*Cos(t))-(28*(z2*Sin(p)))-(((28.04672*(Cos(t)*z2))+(16.26286*(Sin(t)*z2)))*Cos(p))+(((4*y2)-60)*zc)=0
(4*(z2*xc))-(28*z2)+((196.3270-(28.04672*x2))*Sin(t))+(((16.26286*x2)-113.8400)*Cos(t))-(((16.26286*(Sin(t)*z2))+(28.04672*(Cos(t)*z2)))*Sin(p))+(28*(z2*Cos(p)))-(((4*x2)-28)*zc)=0
xc=[-12.80624847,12.80624847]
yc=[-12.80624847,12.80624847]
zc=[0,12.80624847]
p=[-1.570796327,1.570796327]
t=[-1.570796327,1.570796327]
x1=[-12,-2]
y1=[10,20]
z1=[-5,5]
x2=[2,12]
y2=[10,20]
z2=[-5,5]

5://Stewart Gouch
nnoneq=6//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=9//total no of equalities
dim=9//dimension starts from 1.
dessolution=2//no of solutions available
(x1^2)+(y1^2)+(z1^2)-31=0
(x2^2)+(y2^2)+(z2^2)-39=0
(x3^2)+(y3^2)+(z3^2)-29=0
(x1*x2)+(y1*y2)+(z1*z2)+(6*x1)-(6*x2)-51=0
(x1*x3)+(y1*y3)+(z1*z3)+(7*x1)-(2*y1)-(7*x3)+(2*y3)-50=0
(x2*x3)+(y2*y3)+(z1*z3)+x2-(2*y2)-x3+(2*y3)-34=0
32-(12*x1)+(15*y1)-(10*x2)-(25*y2)+(18*x3)+(18*y3)=0
(35*y1)-(14*x1)-(36*x2)-(45*y2)+(30*x3)+(18*y3)-8=0
(2*x1)+(2*y1)-(14*x2)-(2*y2)+(8*x3)-y3-20=0
x1=[-2,5.57]
x2=[-6.25,1.3]
x3=[-5.39,0.7]
y1=[-5.57,2.7]
y2=[-6.25,2.7]
y3=[-5.39,3.11]
z1=[0,5.57]
z2=[-2,6.25]
z3=[-3.61,5.39]

6:// Fredtest
nnoneq=5//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=2//total no inequalties
teq=6//total no of equalities
dim=6//dimension starts from 1.
dessolution=1//no of solutions available
(x4+x5+x6)+1=0
(2*(x5*x1))+(3*(x6*(x1^2)))+x4+(4*(x1^3))=0
(2*(x5*x2))+(3*(x6*(x2^2)))+x4+(4*(x2^3))=0
(2*(x5*x3))+(3*(x6*(x3^2)))+x4+(4*(x3^3))=0
(x4*x1)+(x4*x2)+(x5*(x1^2))+(x5*(x2^2))+(x6*(x1^3))+(x6*(x2^3))+(x1^4)+(x2^4)=0
(x4*x3)+(x4*x2)+(x5*(x3^2))+(x5*(x2^2))+(x6*(x3^3))+(x6*(x2^3))+(x3^4)+(x2^4)=0
(x1-x2)+0.033334<=0
(x2-x3)+0.033334<=0
x1=[0,1]
x2=[0,1]
x3=[0,1]
x4=[-10,10]
x5=[-10,10]
x6=[-10,10]

7:// ECO9
nnoneq=7//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=8//total no of equalities
dim=8//dimension starts from 1.
dessolution=16//no of solutions available
(x2*(x1+x3))+(x4*(x3+x5))+(x6*(x5+x7))-(x8*(0.125-x7))+x1=0
(x3*(x1+x5))+(x4*(x2+x6))+(x5*x7)-(x8*(0.25-x6))+x2=0
(x3*x6)+(x4*(x1+x7))+(x2*x5)+x3-(x8*(0.375-x5))=0
(x1*x5)+(x2*x6)+(x3*x7)+x4-(x8*(0.5-x4))=0
(x1*x6)+(x2*x7)+x5-(x8*(0.625-x3))=0
(x1*x7)+x6-(x8*(0.75-x2))=0
(x8*(x1-0.875))+x7=0
(x1+x2+x3+x4)+(x5+x6+x7+x8+1)=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]
x6=[-100,100]
x7=[-100,100]
x8=[-100,100]

8:// Redeco8
nnoneq=6//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=8//total no of equalities
dim=8//dimension starts from 1.
dessolution=8//no of solutions available
(x2*(x1+x3))+(x4*(x3+x5))+(x6*(x5+x7))+x1-x8=0
(x3*(x1+x5))+(x4*(x2+x6))+(x5*x7)+x2-(2*x8)=0
(x4*(x1+x7))+(x2*x5)+(x3*x6)+x3-(3*x8)=0
(x1*x5)+(x2*x6)+(x3*x7)+x4-(4*x8)=0
(x1*x6)+(x2*x7)+x5-(5*x8)=0
(x1*x7)+x6-(6*x8)=0
x7-(7*x8)=0
(x1+x2+x3+x4)+(x5+x6+x7+1)=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]
x6=[-1000,1000]
x7=[-1000,1000]
x8=[-1000,1000]

9:// PUMA
nnoneq=8//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=8//total no of equalities
dim=8//dimension starts from 1.
dessolution=16//no of solutions available
(x1^2)+(x2^2)-1=0
(x3^2)+(x4^2)-1=0
(x5^2)+(x6^2)-1=0
(x7^2)+(x8^2)-1=0
(0.004731*(x1*x3))-(0.3578*(x2*x3))-(0.1238*x1)-(0.001637*x2)-(0.9338*x4)+x7-0.3571=0
(0.2238*(x1*x3))+(0.7623*(x2*x3))+(0.2638*x1)-(0.07745*x2)-(0.6734*x4)-0.6022=0
(x6*x8)+(0.3578*x1)+(0.004731*x2)=0
(0.2238*x2)-(0.7623*x1)+0.3461=0
x1=[-1,1]
x2=[-1,1]
x3=[-1,1]
x4=[-1,1]
x5=[-1,1]
x6=[-1,1]
x7=[-1,1]
x8=[-1,1]

10:// Chemequ
nnoneq=5//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=5//total no of equalities
dim=5//dimension starts from 1.
dessolution=4//no of solutions available
(y1*y2)-(3*y5)+y1=0
(2*(y1*y2))+(0.0000019230*(y2^2))+(y2*(y3^2))+(0.00054518*(y2*y3))+(0.000034074*(y2*y4))+(0.00000044975*y2)+y1-(10*y5)=0
(2*(y2*(y3^2)))+(0.00054518*(y2*y3))+(0.386*(y3^2))+(0.00041062*y3)-(8*y5)=0
(0.000034074*(y2*y4))+(2*(y4^2))-(40*y5)=0
(y1*y2)+(0.0000009615*(y2^2))+(y2*(y3^2))+(0.00054518*(y2*y3))+(0.000034074*(y2*y4))+(0.00000044975*y2)+(0.193*(y3^2))+(0.00041062*y3)+(y4^2)+y1-1=0
y1=[-100000,100000]
y2=[-100000,100000]
y3=[-100000,100000]
y4=[-100000,100000]
y5=[-100000,100000]

11:// Counter concurrent reactors2
nnoneq=6//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=6//total no of equalities
dim=6//dimension starts from 1.
dessolution=2//no of solutions available
(x3*(x1-1))-(1.656856*x2)+x1-0.414214=0
(x4*(x1-1))-(1.656856*x1)-0.414214=0
(x5*(x1-1))+(0.414214*x1)-(x3*((4*x2)+1))=0
(x1*x2)-(x6*(x1-1))-(x4*((4*x3)+1))=0
(x1*x3)+(x5*((4*x4)+1))=0
(x1*x4)-(x6*((4*x5)+1))+x1-1=0
x1=[-100000000,100000000]
x2=[-100000000,100000000]
x3=[-100000000,100000000]
x4=[-100000000,100000000]
x5=[-100000000,100000000]
x6=[-100000000,100000000]


12:// Cyclic 5
nnoneq=4//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=5//total no of equalities
dim=5//dimension starts from 1.
dessolution=1//no of solutions available
(x1+x2)+(x3+x4+x5)=0
(x1*x2)+(x2*x3)+(x3*x4)+(x4*x5)+(x5*x1)=0
(x1*(x2*x3))+(x2*(x3*x4))+(x3*(x4*x5))+(x4*(x5*x1))+(x5*(x1*x2))=0
(x1*(x2*(x3*x4)))+(x2*(x3*(x4*x5)))+(x3*(x4*(x5*x1)))+(x4*(x5*(x1*x2)))+(x5*(x1*(x2*x3)))=0
(x1*(x2*(x3*(x4*x5))))-1=0
x1=[-100000000,100000000]
x2=[-100000000,100000000]
x3=[-100000000,100000000]
x4=[-100000000,100000000]
x5=[-100000000,100000000]

13:// Dietmaier
nnoneq=12//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=12//total no of equalities
dim=12//dimension starts from 1.
dessolution=40//no of solutions available
(x1^2)+(y1^2)+(z1^2)-1=0
((x2-1.107915)^2)+(y2^2)+(z2^2)-0.4163798256=0
((x3-0.549094)^2)+((y3-0.756063)^2)+(z3^2)-1.180012929=0
((x4-0.735077)^2)+((y4+0.223935)^2)+((z4-0.525991)^2)-2.260328827=0
((x1-x2)^2)+((y1-y2)^2)+((z1-z2)^2)-0.2946372680=0
((x1-x3)^2)+((y1-y3)^2)+((z1-z3)^2)-1.195445050=0
((x1-x4)^2)+((y1-y4)^2)+((z1-z4)^2)-2.535465199=0
((x2-x3)^2)+((y2-y3)^2)+((z2-z3)^2)-0.4512414822=0
((x2-x4)^2)+((y2-y4)^2)+((z2-z4)^2)-2.107211052=0
((x3-x4)^2)+((y3-y4)^2)+((z3-z4)^2)-2.082590368=0
((((4.739721238*x2)+(0.07676939964*x4))-((1.574393890*x1)+(2.242096748*x3)+0.514188))^2)+((((4.739721238*y2)+(0.07676939964*y4))-((1.574393890*y1)+(2.242096748*y3)-0.526063))^2)+((((4.739721238*z2)+(0.07676939964*z4))-((1.574393890*z1)+(2.242096748*z3)-0.368418))^2)-1.643352216=0
((((1.520253264*x1)+(0.2758935157*x3)+(0.252337548*x4))-((1.048484327*x2)+0.590473))^2)+((((1.520253264*y1)+(0.2758935157*y3)+(0.252337548*y4))-((1.048484327*y2)+0.094733))^2)+(((1.520253264*z1)-(1.048484327*z2)+(0.2758935157*z3)+(0.252337548*z4)+0.205018)^2)-0.594550487=0
x1=[-10,10]
x2=[-10,10]
x3=[-10,10]
x4=[-10,10]
y1=[-10,10]
y2=[-10,10]
y3=[-10,10]
y4=[-10,10]
z1=[-10,10]
z2=[-10,10]
z3=[-10,10]
z4=[-10,10]

14:// Heart
nnoneq=6//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=8//total no of equalities
dim=8//dimension starts from 1.
dessolution=2//no of solutions available
((x5*x1)+(x6*x2))-((x7*x3)+(x8*x4))+0.8365348=0
(x7*x1)+(x8*x2)+(x5*x3)+(x6*x4)-1.7345334=0
(x1*(x5^2))-(x1*(x7^2))-(2*(x3*(x5*x7)))+(x2*(x6^2))-(x2*(x8^2))-(2*(x4*(x6*x8)))-1.352352=0
(x3*(x5^2))-(x3*(x7^2))+(2*(x1*(x5*x7)))+(x4*(x6^2))-(x4*(x8^2))+(2*(x2*(x6*x8)))+0.843453=0
(x1*(x5^3))-(3*(x1*(x5*(x7^2))))+(x3*(x7^3))-(3*(x3*(x7*(x5^2))))+(x2*(x6^3))-(3*(x2*(x6*(x8^2))))+(x4*(x8^3))-(3*(x4*(x8*(x6^2))))+0.9563453=0
(x3*(x5^3))-(3*(x3*(x5*(x7^2))))-(x1*(x7^3))+(3*(x1*(x7*(x5^2))))+(x4*(x6^3))-(3*(x4*(x6*(x8^2))))-(x2*(x8^3))+(3*(x2*(x8*(x6^2))))-1.2342523=0
x1+x2-0.63254=0
x3+x4+1.34534=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]
x6=[-100,100]
x7=[-100,100]
x8=[-100,100]

15:// Neuro
nnoneq=6//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=6//total no of equalities
dim=6//dimension starts from 1.
dessolution=1//no of solutions available
(x1^2)+(x3^2)-1=0
(x2^2)+(x4^2)-1=0
(x5*(x3^3))+(x6*(x4^3))-1.2=0
(x5*(x1^3))+(x6*(x2^3))-1.2=0
(x5*((x3^2)*x1))+(x6*((x4^2)*x2))-0.7=0
(x5*(x3*(x1^2)))+(x6*(x4*(x2^2)))-0.7=0
x1=[-10000,10000]
x2=[-10000,10000]
x3=[-10000,10000]
x4=[-10000,10000]
x5=[-10000,10000]
x6=[-10000,10000]

16:// QUAD for 2
nnoneq=3//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=4//total no of equalities
dim=4//dimension starts from 1.
dessolution=1//no of solutions available
x1+x2-1=0
(x1*x3)+(x2*x4)=0
(x1*(x3^2))+(x2*(x4^2))-0.6666667=0
(x1*(x3^3))+(x2*(x4^3))=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]

17:// Wright
nnoneq=5//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=5//total no of equalities
dim=5//dimension starts from 1.
dessolution=5//no of solutions available
(x1^2)-(x1-x2-x3)+(x4+x5)-10=0
(x2^2)+(x1-x2+x3)+(x4+x5)-10=0
(x3^2)+(x1+x2-x3)+(x4+x5)-10=0
(x4^2)+(x1+x2+x3)-(x4-x5)-10=0
(x5^2)+(x1+x2+x3)+(x4-x5)-10=0
x1=[-10000,10000]
x2=[-10000,10000]
x3=[-10000,10000]
x4=[-10000,10000]
x5=[-10000,10000]

18:// Solotarev
nnoneq=4//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=4//total no of equalities
dim=4//dimension starts from 1.
dessolution=6//no of solutions available
(3*(x1^2))-(2*x1)-x3=0
(x1^3)-(x1^2)-(x1*x3)+x3-(2*x4)-2=0
(3*(x2^2))-(2*x2)-x3=0
(x2^3)-(x2^2)-(x2*x3)-x3+2=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]

19:// s9_1
nnoneq=4//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=8//total no of equalities
dim=8//dimension starts from 1.
dessolution=4//no of solutions available
(x5*x7)+(2*(x4*x8))=0
(9*x5)+(4*x2)=0
(4*(x3*x8))+(2*(x5*x6))+(3*(x4*x7))=0
(7*x3)-(9*x1)+(8*x6)=0
(4*(x4*x6))+(5*(x3*x7))+(6*x8)+(3*x5)=0
(5*x4)-(6*(x3*x6))-(7*x7)+(9*x2)=0
(9*x4)+(6*x1)-(5*x2)=0
(9*x3)-(7*x1)+8=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]
x6=[-100,100]
x7=[-100,100]
x8=[-100,100]


20://BUTCHER
nnoneq=7//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=7//total no of equalities
dim=7//dimension starts from 1.
dessolution=7//no of solutions available
(x1*x2)+(x7*x5)+(x4*x3)-(x3^2)-(0.5*x3)-0.5=0
(x1*(x2^2))+(x7*(x5^2))-(x4*(x3^2))+(x3^3)+(x3^2)-(0.333333*x4)+(1.3333333*x3)=0
(x6*(x1*x5))-(x4*(x3^2))+(x3^3)-(0.5*(x4*x3))+(x3^2)-(0.166667*x4)+(0.66666667*x3)=0
(x1*(x2^3))+(x7*(x5^3))+(x4*(x3^3))-(x3^4)-(1.5*(x3^3))+(x4*x3)-(2.5*(x3^2))-(0.25*x3)-0.25=0
(x6*(x1*(x2*x5)))+(x4*(x3^3))-(x3^4)+(0.5*(x4*(x3^2)))-(1.5*(x3^3))+(0.5*(x4*x3))-(1.75*(x3^2))-(0.375*x3)-0.125=0
(x6*(x1*(x5^2)))+(x4*(x3^3))-(x3^4)+(x4*(x3^2))-(1.5*(x3^3))+(0.666667*(x4*x3))-(1.166667*(x3^2))-(0.08333333*x3)-0.0833333=0
(x3^4)-(x4*(x3^3))-(x4*(x3^2))+(1.5*(x3^3))-(0.333333*(x4*x3))+(1.0833333*(x3^2))+(0.291667*x3)+0.04166667=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]
x6=[-100,100]
x7=[-100,100]

21:// Trinks?
nnoneq=4//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=6//total no of equalities
dim=6//dimension starts from 1.
dessolution=2//no of solutions available
(45*x2)+(35*x4)-(165*x5)-36=0
(35*x2)+(25*x3)+(40*x6)-(27*x4)=0
(25*(x2*x4))-(165*(x5^2))+(15*x1)-(18*x3)+(30*x6)=0
(15*(x2*x3))+(20*(x6*x4))-(9*x1)=0
(x1*x2)-(11*(x5^3))+(2*(x3*x6))=0
(3*(x5^2))-(11*(x4*x5))+(99*x1)=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]
x6=[-100,100]

22:// Lorentz
nnoneq=4//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=4//total no of equalities
dim=4//dimension starts from 1.
dessolution=3//no of solutions available
(x1*x2)-(x1*x3)-x4+1=0
(x2*x3)-(x2*x4)-x1+1=0
(x3*x4)-(x1*x3)-x2+1=0
(x1*x4)-(x2*x4)-x3+1=0
x1=[-10000000,10000000]
x2=[-10000000,10000000]
x3=[-10000000,10000000]
x4=[-10000000,10000000]





23:// reimer5
nnoneq=5//no of nonlinear equalities
nnonineq=0//no of nonlinear inequalities
tineq=0//total no inequalties
teq=5//total no of equalities
dim=5//dimension starts from 1.
dessolution=2//no of solutions available
(2*(x1^2))-(2*(x2^2))+(2*(x3^2))-(2*(x4^2))+(2*(x5^2))-1=0
(2*(x1^3))-(2*(x2^3))+(2*(x3^3))-(2*(x4^3))+(2*(x5^3))-1=0
(2*(x1^4))-(2*(x2^4))+(2*(x3^4))-(2*(x4^4))+(2*(x5^4))-1=0
(2*(x1^5))-(2*(x2^5))+(2*(x3^5))-(2*(x4^5))+(2*(x5^5))-1=0
(2*(x1^6))-(2*(x2^6))+(2*(x3^6))-(2*(x4^6))+(2*(x5^6))-1=0
x1=[-10,10]
x2=[-10,10]
x3=[-10,10]
x4=[-10,10]
x5=[-10,10]