using JuMP, EAGO

                     m = Model()

                     EAGO.register_eago_operators!(m)

                     @variable(m, -1 <= x[i=1:4] <= 1)

                     @variable(m, -51.708688423784224 <= q <= 53.49505517188359)

                     add_NL_constraint(m, :(1/(1 + exp(-(0.12651985253467002 + 0.8800990177661969*1/(1 + exp(-(0.9367289958343452 + 0.010085610540752743*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.46191185446397043*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.4430556996324988*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.9244167282970754*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.15008923933940022*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.9059509477084742*1/(1 + exp(-(-0.9076856947519341 + 0.6427398296015978*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + 0.5974696839876872*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + 0.3127996929073351*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.8921846648994118*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.8861141904898706*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.7662733112940292*1/(1 + exp(-(0.014219790982957559 + -0.1830460372609095*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + 0.18937048380167898*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.48856019606524415*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.6243584215460145*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + -0.6378733350620909*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + -0.3066544631255512*1/(1 + exp(-(0.37873800689777815 + 0.3786798527526116*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.15214183164812667*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + 0.4531653277321981*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + -0.2698943947473773*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + -0.8205030207972928*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.673637701918695*1/(1 + exp(-(0.41028851710489267 + 0.3789873528571355*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.13395473418456794*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.9211828416113521*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.005265087561311166*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.6679558602332873*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4])))))))))) + 1/(1 + exp(-(-0.8950204772394628 + -0.19603919659654778*1/(1 + exp(-(0.9367289958343452 + 0.010085610540752743*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.46191185446397043*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.4430556996324988*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.9244167282970754*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.15008923933940022*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + -0.902347490498435*1/(1 + exp(-(-0.9076856947519341 + 0.6427398296015978*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + 0.5974696839876872*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + 0.3127996929073351*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.8921846648994118*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.8861141904898706*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + -0.30440629677970144*1/(1 + exp(-(0.014219790982957559 + -0.1830460372609095*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + 0.18937048380167898*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.48856019606524415*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.6243584215460145*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + -0.6378733350620909*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.6770808003403048*1/(1 + exp(-(0.37873800689777815 + 0.3786798527526116*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.15214183164812667*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + 0.4531653277321981*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + -0.2698943947473773*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + -0.8205030207972928*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.03232239144278681*1/(1 + exp(-(0.41028851710489267 + 0.3789873528571355*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.13395473418456794*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.9211828416113521*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.005265087561311166*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.6679558602332873*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4])))))))))) + 1/(1 + exp(-(-0.11076390433121786 + 0.7661103402200116*1/(1 + exp(-(0.9367289958343452 + 0.010085610540752743*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.46191185446397043*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.4430556996324988*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.9244167282970754*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.15008923933940022*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + -0.9009199905889229*1/(1 + exp(-(-0.9076856947519341 + 0.6427398296015978*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + 0.5974696839876872*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + 0.3127996929073351*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.8921846648994118*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.8861141904898706*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.5631507797475948*1/(1 + exp(-(0.014219790982957559 + -0.1830460372609095*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + 0.18937048380167898*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.48856019606524415*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.6243584215460145*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + -0.6378733350620909*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + -0.4163802251888926*1/(1 + exp(-(0.37873800689777815 + 0.3786798527526116*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.15214183164812667*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + 0.4531653277321981*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) 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+ 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + -0.8205030207972928*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.2645412007156045*1/(1 + exp(-(0.41028851710489267 + 0.3789873528571355*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.13395473418456794*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.9211828416113521*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.005265087561311166*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + 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exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.43240821263487783*1/(1 + exp(-(0.014219790982957559 + -0.1830460372609095*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + 0.18937048380167898*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.48856019606524415*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.6243584215460145*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + -0.6378733350620909*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + -0.6998749584965918*1/(1 + exp(-(0.37873800689777815 + 0.3786798527526116*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.15214183164812667*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + 0.4531653277321981*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + -0.2698943947473773*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + -0.8205030207972928*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4]))))))) + 0.6177298271304656*1/(1 + exp(-(0.41028851710489267 + 0.3789873528571355*1/(1 + exp(-(-0.5507415348587976 + -0.9382157052845588*$(x[1]) + 0.32792621601464056*$(x[2]) + 0.04402367930308282*$(x[3]) + 0.8348925442898456*$(x[4])))) + -0.13395473418456794*1/(1 + exp(-(0.4569151270063867 + 0.9855428533575652*$(x[1]) + 0.27576336558204195*$(x[2]) + 0.024724286249658167*$(x[3]) + -0.4115946180479595*$(x[4])))) + -0.9211828416113521*1/(1 + exp(-(0.5124722980797523 + -0.021522352811447654*$(x[1]) + 0.09961216478582813*$(x[2]) + -0.5936461652265081*$(x[3]) + 0.7973439553626904*$(x[4])))) + 0.005265087561311166*1/(1 + exp(-(0.16894693163358276 + -0.35673489881937037*$(x[1]) + 0.5082818593140526*$(x[2]) + 0.7581208342644015*$(x[3]) + -0.6603822729791307*$(x[4])))) + 0.6679558602332873*1/(1 + exp(-(-0.5086292355642796 + -0.9220327700183186*$(x[1]) + 0.16243082406428888*$(x[2]) + 0.7781879917830965*$(x[3]) + 0.45589624224566805*$(x[4])))))))))) - $q <= 0.0))

                     @objective(m, Min, q)

                     return m

                    