$offlisting * * Equation counts * Total E G L N X C B * 62 17 5 40 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 25 25 0 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 526 58 468 0 * * Solve m using NLP minimizing objvar; Variables objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18 ,x19,x20,x21,x22,x23,x24,x25; Positive Variables x20,x21,x22,x23,x24,x25; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19 ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36 ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53 ,e54,e55,e56,e57,e58,e59,e60,e61,e62; e1.. x2 =E= 1; e2.. x3 =E= 0; e3.. x4 =E= 0; e4.. x5 =E= 0; e5.. x6 =G= 0; e6.. x7 - x8 =G= 0; e7.. x8 - x9 =G= 0; e8.. x9 - x10 =G= 0; e9.. x10 =G= 0; e10.. sqr(x2) + sqr(x3) + sqr(x4) =E= 1; e11.. sqr(x6) + sqr(x11) + sqr(x5) =E= 1; e12.. sqr(x7) + sqr(x12) + sqr(x13) =E= 1; e13.. sqr(x8) + sqr(x14) + sqr(x15) =E= 1; e14.. sqr(x9) + sqr(x16) + sqr(x17) =E= 1; e15.. sqr(x10) + sqr(x18) + sqr(x19) =E= 1; e16.. sqr(x2)*x20 + sqr(x6)*x21 + sqr(x7)*x22 + sqr(x8)*x23 + sqr(x9)*x24 + sqr(x10)*x25 =E= 1; e17.. x20*x2*x3 + x21*x6*x11 + x22*x7*x12 + x23*x8*x14 + x24*x9*x16 + x25*x10* x18 =E= 0; e18.. x20*x2*x4 + x21*x6*x5 + x22*x7*x13 + x23*x8*x15 + x24*x9*x17 + x25*x10* x19 =E= 0; e19.. sqr(x3)*x20 + sqr(x11)*x21 + sqr(x12)*x22 + sqr(x14)*x23 + sqr(x16)*x24 + sqr(x18)*x25 =E= 1; e20.. x20*x3*x4 + x21*x11*x5 + x22*x12*x13 + x23*x14*x15 + x24*x16*x17 + x25* x18*x19 =E= 0; e21.. sqr(x4)*x20 + sqr(x5)*x21 + sqr(x13)*x22 + sqr(x15)*x23 + sqr(x17)*x24 + sqr(x19)*x25 =E= 1; e22.. x20 + x21 + x22 + x23 + x24 + x25 =E= 3; e23.. x6*x12*x4 - x7*x11*x4 + x7*x3*x5 - x2*x12*x5 - x6*x3*x13 + x2*x11*x13 - objvar =L= 0; e24.. x7*x11*x4 - x6*x12*x4 - x7*x3*x5 + x2*x12*x5 + x6*x3*x13 - x2*x11*x13 - objvar =L= 0; e25.. x6*x14*x4 - x8*x11*x4 + x8*x3*x5 - x2*x14*x5 - x6*x3*x15 + x2*x11*x15 - objvar =L= 0; e26.. x8*x11*x4 - x6*x14*x4 - x8*x3*x5 + x2*x14*x5 + x6*x3*x15 - x2*x11*x15 - objvar =L= 0; e27.. x6*x16*x4 - x9*x11*x4 + x9*x3*x5 - x2*x16*x5 - x6*x3*x17 + x2*x11*x17 - objvar =L= 0; e28.. x9*x11*x4 - x6*x16*x4 - x9*x3*x5 + x2*x16*x5 + x6*x3*x17 - x2*x11*x17 - objvar =L= 0; e29.. x6*x18*x4 - x10*x11*x4 + x10*x3*x5 - x2*x18*x5 - x6*x3*x19 + x2*x11*x19 - objvar =L= 0; e30.. x10*x11*x4 - x6*x18*x4 - x10*x3*x5 + x2*x18*x5 + x6*x3*x19 - x2*x11*x19 - objvar =L= 0; e31.. x7*x14*x4 - x8*x12*x4 + x8*x3*x13 - x2*x14*x13 - x7*x3*x15 + x2*x12*x15 - objvar =L= 0; e32.. x8*x12*x4 - x7*x14*x4 - x8*x3*x13 + x2*x14*x13 + x7*x3*x15 - x2*x12*x15 - objvar =L= 0; e33.. x7*x16*x4 - x9*x12*x4 + x9*x3*x13 - x2*x16*x13 - x7*x3*x17 + x2*x12*x17 - objvar =L= 0; e34.. x9*x12*x4 - x7*x16*x4 - x9*x3*x13 + x2*x16*x13 + x7*x3*x17 - x2*x12*x17 - objvar =L= 0; e35.. x7*x18*x4 - x10*x12*x4 + x10*x3*x13 - x2*x18*x13 - x7*x3*x19 + x2*x12*x19 - objvar =L= 0; e36.. x10*x12*x4 - x7*x18*x4 - x10*x3*x13 + x2*x18*x13 + x7*x3*x19 - x2*x12*x19 - objvar =L= 0; e37.. x8*x16*x4 - x9*x14*x4 + x9*x3*x15 - x2*x16*x15 - x8*x3*x17 + x2*x14*x17 - objvar =L= 0; e38.. x9*x14*x4 - x8*x16*x4 - x9*x3*x15 + x2*x16*x15 + x8*x3*x17 - x2*x14*x17 - objvar =L= 0; e39.. x8*x18*x4 - x10*x14*x4 + x10*x3*x15 - x2*x18*x15 - x8*x3*x19 + x2*x14*x19 - objvar =L= 0; e40.. x10*x14*x4 - x8*x18*x4 - x10*x3*x15 + x2*x18*x15 + x8*x3*x19 - x2*x14*x19 - objvar =L= 0; e41.. x9*x18*x4 - x10*x16*x4 + x10*x3*x17 - x2*x18*x17 - x9*x3*x19 + x2*x16*x19 - objvar =L= 0; e42.. x10*x16*x4 - x9*x18*x4 - x10*x3*x17 + x2*x18*x17 + x9*x3*x19 - x2*x16*x19 - objvar =L= 0; e43.. x7*x14*x5 - x8*x12*x5 + x8*x11*x13 - x6*x14*x13 - x7*x11*x15 + x6*x12*x15 - objvar =L= 0; e44.. x8*x12*x5 - x7*x14*x5 - x8*x11*x13 + x6*x14*x13 + x7*x11*x15 - x6*x12*x15 - objvar =L= 0; e45.. x7*x16*x5 - x9*x12*x5 + x9*x11*x13 - x6*x16*x13 - x7*x11*x17 + x6*x12*x17 - objvar =L= 0; e46.. x9*x12*x5 - x7*x16*x5 - x9*x11*x13 + x6*x16*x13 + x7*x11*x17 - x6*x12*x17 - objvar =L= 0; e47.. x7*x18*x5 - x10*x12*x5 + x10*x11*x13 - x6*x18*x13 - x7*x11*x19 + x6*x12* x19 - objvar =L= 0; e48.. x10*x12*x5 - x7*x18*x5 - x10*x11*x13 + x6*x18*x13 + x7*x11*x19 - x6*x12* x19 - objvar =L= 0; e49.. x8*x16*x5 - x9*x14*x5 + x9*x11*x15 - x6*x16*x15 - x8*x11*x17 + x6*x14*x17 - objvar =L= 0; e50.. x9*x14*x5 - x8*x16*x5 - x9*x11*x15 + x6*x16*x15 + x8*x11*x17 - x6*x14*x17 - objvar =L= 0; e51.. x8*x18*x5 - x10*x14*x5 + x10*x11*x15 - x6*x18*x15 - x8*x11*x19 + x6*x14* x19 - objvar =L= 0; e52.. x10*x14*x5 - x8*x18*x5 - x10*x11*x15 + x6*x18*x15 + x8*x11*x19 - x6*x14* x19 - objvar =L= 0; e53.. x9*x18*x5 - x10*x16*x5 + x10*x11*x17 - x6*x18*x17 - x9*x11*x19 + x6*x16* x19 - objvar =L= 0; e54.. x10*x16*x5 - x9*x18*x5 - x10*x11*x17 + x6*x18*x17 + x9*x11*x19 - x6*x16* x19 - objvar =L= 0; e55.. x8*x16*x13 - x9*x14*x13 + x9*x12*x15 - x7*x16*x15 - x8*x12*x17 + x7*x14* x17 - objvar =L= 0; e56.. x9*x14*x13 - x8*x16*x13 - x9*x12*x15 + x7*x16*x15 + x8*x12*x17 - x7*x14* x17 - objvar =L= 0; e57.. x8*x18*x13 - x10*x14*x13 + x10*x12*x15 - x7*x18*x15 - x8*x12*x19 + x7*x14 *x19 - objvar =L= 0; e58.. x10*x14*x13 - x8*x18*x13 - x10*x12*x15 + x7*x18*x15 + x8*x12*x19 - x7*x14 *x19 - objvar =L= 0; e59.. x9*x18*x13 - x10*x16*x13 + x10*x12*x17 - x7*x18*x17 - x9*x12*x19 + x7*x16 *x19 - objvar =L= 0; e60.. x10*x16*x13 - x9*x18*x13 - x10*x12*x17 + x7*x18*x17 + x9*x12*x19 - x7*x16 *x19 - objvar =L= 0; e61.. x9*x18*x15 - x10*x16*x15 + x10*x14*x17 - x8*x18*x17 - x9*x14*x19 + x8*x16 *x19 - objvar =L= 0; e62.. x10*x16*x15 - x9*x18*x15 - x10*x14*x17 + x8*x18*x17 + x9*x14*x19 - x8*x16 *x19 - objvar =L= 0; * set non-default bounds objvar.lo = 0; objvar.up = 1; x2.lo = -1; x2.up = 1; x3.lo = -1; x3.up = 1; x4.lo = -1; x4.up = 1; x5.lo = -1; x5.up = 1; x6.lo = -1; x6.up = 1; x7.lo = -1; x7.up = 1; x8.lo = -1; x8.up = 1; x9.lo = -1; x9.up = 1; x10.lo = -1; x10.up = 1; x11.lo = -1; x11.up = 1; x12.lo = -1; x12.up = 1; x13.lo = -1; x13.up = 1; x14.lo = -1; x14.up = 1; x15.lo = -1; x15.up = 1; x16.lo = -1; x16.up = 1; x17.lo = -1; x17.up = 1; x18.lo = -1; x18.up = 1; x19.lo = -1; x19.up = 1; x20.up = 1; x21.up = 1; x22.up = 1; x23.up = 1; x24.up = 1; x25.up = 1; Model m / all /; m.limrow=0; m.limcol=0; m.tolproj=0.0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' $if not set NLP $set NLP NLP Solve m using %NLP% minimizing objvar;