> lpx_load_matrix(lp,1,ia,ja,ar);

You did not load all the matrix, only one non-zero element but you
have 4 of them. Try:

lpx_load_matrix(lp, 4,ia,ja,ar);

It seems to me you are using an old version of GLPK, try to update to
a more recent one.

Good luck,

Ali


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