var 0..250000: INT____00001 :: is_defined_var :: var_is_introduced;
var 0..125000000: INT____00002 :: is_defined_var :: var_is_introduced;
var 0..249001: INT____00003 :: is_defined_var :: var_is_introduced;
var 1..249001: INT____00004 :: is_defined_var :: var_is_introduced;
var 4..250000: INT____00006 :: is_defined_var :: var_is_introduced;
var 0..499: a :: output_var;
var 1..499: b :: output_var;
var 2..500: c :: output_var;
var 0..125000000: prod :: output_var = INT____00002;
constraint int_lin_eq([1, 1, 1], [a, b, c], 1000);
constraint int_lt(a, b);
constraint int_lt(b, c);
constraint int_plus(INT____00003, INT____00004, INT____00006) :: defines_var(INT____00006);
constraint int_times(INT____00001, c, INT____00002) :: defines_var(INT____00002);
constraint int_times(a, a, INT____00003) :: defines_var(INT____00003);
constraint int_times(a, b, INT____00001) :: defines_var(INT____00001);
constraint int_times(b, b, INT____00004) :: defines_var(INT____00004);
constraint int_times(c, c, INT____00006);
solve satisfy;