predicate all_different_int(array [int] of var int: x);
predicate count(array [int] of var int: x, var int: y, var int: c);
predicate fixed_cumulative(array [int] of var int: s, array [int] of int: d, array [int] of int: r, int: b);
predicate global_cardinality(array [int] of var int: x, array [int] of int: cover, array [int] of var int: counts);
predicate maximum_int(var int: m, array [int] of var int: x);
predicate minimum_int(var int: m, array [int] of var int: x);
predicate sliding_sum(int: low, int: up, int: seq, array [int] of var int: vs);
predicate sort(array [int] of var int: x, array [int] of var int: y);
predicate table_bool(array [int] of var bool: x, array [int, int] of bool: t);
predicate table_int(array [int] of var int: x, array [int, int] of int: t);
predicate var_cumulative(array [int] of var int: s, array [int] of int: d, array [int] of int: r, var int: b);
var bool: BOOL____00001 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00002 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00003 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00004 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00005 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00006 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00007 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00008 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00009 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00010 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00011 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00012 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00013 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00014 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00015 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00016 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00017 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00018 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00019 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00020 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00021 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00022 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00023 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00024 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00025 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00026 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00027 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00028 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00029 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00030 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00031 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00032 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00033 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00034 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00035 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00036 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00037 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00038 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00039 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00040 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00041 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00042 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00043 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00044 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00045 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00046 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00047 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00048 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00049 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00050 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00051 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00052 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00053 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00054 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00055 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00056 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00057 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00058 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00059 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00060 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00061 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00062 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00063 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00064 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00065 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00066 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00067 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00068 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00069 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00070 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00071 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00072 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00073 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00074 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00075 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00076 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00077 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00078 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00079 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00080 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00081 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00082 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00083 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00084 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00085 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00086 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00087 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00088 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00089 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00090 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00091 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00092 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00093 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00094 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00095 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00096 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00097 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00098 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00099 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00100 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00101 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00102 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00103 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00104 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00105 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00106 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00107 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00108 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00109 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00110 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00111 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00112 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00113 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00114 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00115 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00116 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00117 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00118 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00119 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00120 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00121 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00122 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00123 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00124 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00125 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00126 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00127 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00128 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00129 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00130 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00131 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00132 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00133 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00134 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00135 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00136 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00137 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00138 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00139 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00140 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00141 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00142 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00143 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00144 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00145 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00146 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00147 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00148 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00149 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00150 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00151 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00152 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00153 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00154 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00155 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00156 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00157 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00158 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00159 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00160 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00161 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00162 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00163 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00164 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00165 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00166 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00167 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00168 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00169 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00170 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00171 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00172 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00173 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00174 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00175 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00176 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00177 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00178 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00179 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00180 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00181 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00182 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00183 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00184 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00185 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00186 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00187 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00188 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00189 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00190 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00191 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00192 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00193 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00194 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00195 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00196 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00197 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00198 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00199 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00200 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00201 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00202 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00203 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00204 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00205 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00206 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00207 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00208 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00209 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00210 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00211 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00212 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00213 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00214 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00215 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00216 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00217 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00218 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00219 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00220 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00221 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00222 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00223 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00224 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00225 :: is_defined_var :: var_is_introduced;
array [1..9] of var 1..9: x :: output_array([1..3, 1..3]);
constraint all_different_int([x[1], x[2], x[3], x[4], x[5], x[6], x[7], x[8], x[9]]);
constraint array_bool_and([BOOL____00004, BOOL____00001], BOOL____00028) :: defines_var(BOOL____00028);
constraint array_bool_and([BOOL____00009, BOOL____00005], BOOL____00029) :: defines_var(BOOL____00029);
constraint array_bool_and([BOOL____00012, BOOL____00010], BOOL____00030) :: defines_var(BOOL____00030);
constraint array_bool_and([BOOL____00015, BOOL____00013], BOOL____00031) :: defines_var(BOOL____00031);
constraint array_bool_and([BOOL____00018, BOOL____00016], BOOL____00032) :: defines_var(BOOL____00032);
constraint array_bool_and([BOOL____00021, BOOL____00019], BOOL____00033) :: defines_var(BOOL____00033);
constraint array_bool_and([BOOL____00023, BOOL____00022], BOOL____00034) :: defines_var(BOOL____00034);
constraint array_bool_and([BOOL____00025, BOOL____00024], BOOL____00035) :: defines_var(BOOL____00035);
constraint array_bool_and([BOOL____00027, BOOL____00026], BOOL____00036) :: defines_var(BOOL____00036);
constraint array_bool_and([BOOL____00039, BOOL____00006], BOOL____00055) :: defines_var(BOOL____00055);
constraint array_bool_and([BOOL____00043, BOOL____00002], BOOL____00056) :: defines_var(BOOL____00056);
constraint array_bool_and([BOOL____00045, BOOL____00007], BOOL____00057) :: defines_var(BOOL____00057);
constraint array_bool_and([BOOL____00047, BOOL____00003], BOOL____00058) :: defines_var(BOOL____00058);
constraint array_bool_and([BOOL____00049, BOOL____00008], BOOL____00059) :: defines_var(BOOL____00059);
constraint array_bool_and([BOOL____00051, BOOL____00011], BOOL____00060) :: defines_var(BOOL____00060);
constraint array_bool_and([BOOL____00052, BOOL____00014], BOOL____00061) :: defines_var(BOOL____00061);
constraint array_bool_and([BOOL____00053, BOOL____00017], BOOL____00062) :: defines_var(BOOL____00062);
constraint array_bool_and([BOOL____00054, BOOL____00020], BOOL____00063) :: defines_var(BOOL____00063);
constraint array_bool_and([BOOL____00066, BOOL____00040], BOOL____00082) :: defines_var(BOOL____00082);
constraint array_bool_and([BOOL____00070, BOOL____00037], BOOL____00083) :: defines_var(BOOL____00083);
constraint array_bool_and([BOOL____00072, BOOL____00041], BOOL____00084) :: defines_var(BOOL____00084);
constraint array_bool_and([BOOL____00074, BOOL____00038], BOOL____00085) :: defines_var(BOOL____00085);
constraint array_bool_and([BOOL____00076, BOOL____00042], BOOL____00086) :: defines_var(BOOL____00086);
constraint array_bool_and([BOOL____00078, BOOL____00044], BOOL____00087) :: defines_var(BOOL____00087);
constraint array_bool_and([BOOL____00079, BOOL____00046], BOOL____00088) :: defines_var(BOOL____00088);
constraint array_bool_and([BOOL____00080, BOOL____00048], BOOL____00089) :: defines_var(BOOL____00089);
constraint array_bool_and([BOOL____00081, BOOL____00050], BOOL____00090) :: defines_var(BOOL____00090);
constraint array_bool_and([BOOL____00093, BOOL____00067], BOOL____00109) :: defines_var(BOOL____00109);
constraint array_bool_and([BOOL____00097, BOOL____00064], BOOL____00110) :: defines_var(BOOL____00110);
constraint array_bool_and([BOOL____00099, BOOL____00068], BOOL____00111) :: defines_var(BOOL____00111);
constraint array_bool_and([BOOL____00101, BOOL____00065], BOOL____00112) :: defines_var(BOOL____00112);
constraint array_bool_and([BOOL____00103, BOOL____00069], BOOL____00113) :: defines_var(BOOL____00113);
constraint array_bool_and([BOOL____00105, BOOL____00071], BOOL____00114) :: defines_var(BOOL____00114);
constraint array_bool_and([BOOL____00106, BOOL____00073], BOOL____00115) :: defines_var(BOOL____00115);
constraint array_bool_and([BOOL____00107, BOOL____00075], BOOL____00116) :: defines_var(BOOL____00116);
constraint array_bool_and([BOOL____00108, BOOL____00077], BOOL____00117) :: defines_var(BOOL____00117);
constraint array_bool_and([BOOL____00120, BOOL____00094], BOOL____00136) :: defines_var(BOOL____00136);
constraint array_bool_and([BOOL____00124, BOOL____00091], BOOL____00137) :: defines_var(BOOL____00137);
constraint array_bool_and([BOOL____00126, BOOL____00095], BOOL____00138) :: defines_var(BOOL____00138);
constraint array_bool_and([BOOL____00128, BOOL____00092], BOOL____00139) :: defines_var(BOOL____00139);
constraint array_bool_and([BOOL____00130, BOOL____00096], BOOL____00140) :: defines_var(BOOL____00140);
constraint array_bool_and([BOOL____00132, BOOL____00098], BOOL____00141) :: defines_var(BOOL____00141);
constraint array_bool_and([BOOL____00133, BOOL____00100], BOOL____00142) :: defines_var(BOOL____00142);
constraint array_bool_and([BOOL____00134, BOOL____00102], BOOL____00143) :: defines_var(BOOL____00143);
constraint array_bool_and([BOOL____00135, BOOL____00104], BOOL____00144) :: defines_var(BOOL____00144);
constraint array_bool_and([BOOL____00147, BOOL____00121], BOOL____00163) :: defines_var(BOOL____00163);
constraint array_bool_and([BOOL____00151, BOOL____00118], BOOL____00164) :: defines_var(BOOL____00164);
constraint array_bool_and([BOOL____00153, BOOL____00122], BOOL____00165) :: defines_var(BOOL____00165);
constraint array_bool_and([BOOL____00155, BOOL____00119], BOOL____00166) :: defines_var(BOOL____00166);
constraint array_bool_and([BOOL____00157, BOOL____00123], BOOL____00167) :: defines_var(BOOL____00167);
constraint array_bool_and([BOOL____00159, BOOL____00125], BOOL____00168) :: defines_var(BOOL____00168);
constraint array_bool_and([BOOL____00160, BOOL____00127], BOOL____00169) :: defines_var(BOOL____00169);
constraint array_bool_and([BOOL____00161, BOOL____00129], BOOL____00170) :: defines_var(BOOL____00170);
constraint array_bool_and([BOOL____00162, BOOL____00131], BOOL____00171) :: defines_var(BOOL____00171);
constraint array_bool_and([BOOL____00174, BOOL____00148], BOOL____00190) :: defines_var(BOOL____00190);
constraint array_bool_and([BOOL____00178, BOOL____00145], BOOL____00191) :: defines_var(BOOL____00191);
constraint array_bool_and([BOOL____00180, BOOL____00149], BOOL____00192) :: defines_var(BOOL____00192);
constraint array_bool_and([BOOL____00182, BOOL____00146], BOOL____00193) :: defines_var(BOOL____00193);
constraint array_bool_and([BOOL____00184, BOOL____00150], BOOL____00194) :: defines_var(BOOL____00194);
constraint array_bool_and([BOOL____00186, BOOL____00152], BOOL____00195) :: defines_var(BOOL____00195);
constraint array_bool_and([BOOL____00187, BOOL____00154], BOOL____00196) :: defines_var(BOOL____00196);
constraint array_bool_and([BOOL____00188, BOOL____00156], BOOL____00197) :: defines_var(BOOL____00197);
constraint array_bool_and([BOOL____00189, BOOL____00158], BOOL____00198) :: defines_var(BOOL____00198);
constraint array_bool_and([BOOL____00201, BOOL____00175], BOOL____00217) :: defines_var(BOOL____00217);
constraint array_bool_and([BOOL____00205, BOOL____00172], BOOL____00218) :: defines_var(BOOL____00218);
constraint array_bool_and([BOOL____00207, BOOL____00176], BOOL____00219) :: defines_var(BOOL____00219);
constraint array_bool_and([BOOL____00209, BOOL____00173], BOOL____00220) :: defines_var(BOOL____00220);
constraint array_bool_and([BOOL____00211, BOOL____00177], BOOL____00221) :: defines_var(BOOL____00221);
constraint array_bool_and([BOOL____00213, BOOL____00179], BOOL____00222) :: defines_var(BOOL____00222);
constraint array_bool_and([BOOL____00214, BOOL____00181], BOOL____00223) :: defines_var(BOOL____00223);
constraint array_bool_and([BOOL____00215, BOOL____00183], BOOL____00224) :: defines_var(BOOL____00224);
constraint array_bool_and([BOOL____00216, BOOL____00185], BOOL____00225) :: defines_var(BOOL____00225);
constraint array_bool_or([BOOL____00003, BOOL____00002], BOOL____00004) :: defines_var(BOOL____00004);
constraint array_bool_or([BOOL____00011, BOOL____00002], BOOL____00012) :: defines_var(BOOL____00012);
constraint array_bool_or([BOOL____00017, BOOL____00003], BOOL____00023) :: defines_var(BOOL____00023);
constraint array_bool_or([BOOL____00017, BOOL____00011], BOOL____00027) :: defines_var(BOOL____00027);
constraint array_bool_or([BOOL____00038, BOOL____00037], BOOL____00039) :: defines_var(BOOL____00039);
constraint array_bool_or([BOOL____00044, BOOL____00037], BOOL____00045) :: defines_var(BOOL____00045);
constraint array_bool_or([BOOL____00048, BOOL____00038], BOOL____00052) :: defines_var(BOOL____00052);
constraint array_bool_or([BOOL____00048, BOOL____00044], BOOL____00054) :: defines_var(BOOL____00054);
constraint array_bool_or([BOOL____00065, BOOL____00064], BOOL____00066) :: defines_var(BOOL____00066);
constraint array_bool_or([BOOL____00071, BOOL____00064], BOOL____00072) :: defines_var(BOOL____00072);
constraint array_bool_or([BOOL____00075, BOOL____00065], BOOL____00079) :: defines_var(BOOL____00079);
constraint array_bool_or([BOOL____00075, BOOL____00071], BOOL____00081) :: defines_var(BOOL____00081);
constraint array_bool_or([BOOL____00092, BOOL____00091], BOOL____00093) :: defines_var(BOOL____00093);
constraint array_bool_or([BOOL____00098, BOOL____00091], BOOL____00099) :: defines_var(BOOL____00099);
constraint array_bool_or([BOOL____00102, BOOL____00092], BOOL____00106) :: defines_var(BOOL____00106);
constraint array_bool_or([BOOL____00102, BOOL____00098], BOOL____00108) :: defines_var(BOOL____00108);
constraint array_bool_or([BOOL____00119, BOOL____00118], BOOL____00120) :: defines_var(BOOL____00120);
constraint array_bool_or([BOOL____00125, BOOL____00118], BOOL____00126) :: defines_var(BOOL____00126);
constraint array_bool_or([BOOL____00129, BOOL____00119], BOOL____00133) :: defines_var(BOOL____00133);
constraint array_bool_or([BOOL____00129, BOOL____00125], BOOL____00135) :: defines_var(BOOL____00135);
constraint array_bool_or([BOOL____00146, BOOL____00145], BOOL____00147) :: defines_var(BOOL____00147);
constraint array_bool_or([BOOL____00152, BOOL____00145], BOOL____00153) :: defines_var(BOOL____00153);
constraint array_bool_or([BOOL____00156, BOOL____00146], BOOL____00160) :: defines_var(BOOL____00160);
constraint array_bool_or([BOOL____00156, BOOL____00152], BOOL____00162) :: defines_var(BOOL____00162);
constraint array_bool_or([BOOL____00173, BOOL____00172], BOOL____00174) :: defines_var(BOOL____00174);
constraint array_bool_or([BOOL____00179, BOOL____00172], BOOL____00180) :: defines_var(BOOL____00180);
constraint array_bool_or([BOOL____00183, BOOL____00173], BOOL____00187) :: defines_var(BOOL____00187);
constraint array_bool_or([BOOL____00183, BOOL____00179], BOOL____00189) :: defines_var(BOOL____00189);
constraint array_bool_or([BOOL____00200, BOOL____00199], BOOL____00201) :: defines_var(BOOL____00201);
constraint array_bool_or([BOOL____00206, BOOL____00199], BOOL____00207) :: defines_var(BOOL____00207);
constraint array_bool_or([BOOL____00210, BOOL____00200], BOOL____00214) :: defines_var(BOOL____00214);
constraint array_bool_or([BOOL____00210, BOOL____00206], BOOL____00216) :: defines_var(BOOL____00216);
constraint array_bool_or([BOOL____00008, BOOL____00007, BOOL____00006], BOOL____00009) :: defines_var(BOOL____00009);
constraint array_bool_or([BOOL____00014, BOOL____00008, BOOL____00006], BOOL____00015) :: defines_var(BOOL____00015);
constraint array_bool_or([BOOL____00020, BOOL____00008, BOOL____00007], BOOL____00021) :: defines_var(BOOL____00021);
constraint array_bool_or([BOOL____00020, BOOL____00014, BOOL____00008], BOOL____00025) :: defines_var(BOOL____00025);
constraint array_bool_or([BOOL____00042, BOOL____00041, BOOL____00040], BOOL____00043) :: defines_var(BOOL____00043);
constraint array_bool_or([BOOL____00046, BOOL____00042, BOOL____00040], BOOL____00047) :: defines_var(BOOL____00047);
constraint array_bool_or([BOOL____00050, BOOL____00042, BOOL____00041], BOOL____00051) :: defines_var(BOOL____00051);
constraint array_bool_or([BOOL____00050, BOOL____00046, BOOL____00042], BOOL____00053) :: defines_var(BOOL____00053);
constraint array_bool_or([BOOL____00069, BOOL____00068, BOOL____00067], BOOL____00070) :: defines_var(BOOL____00070);
constraint array_bool_or([BOOL____00073, BOOL____00069, BOOL____00067], BOOL____00074) :: defines_var(BOOL____00074);
constraint array_bool_or([BOOL____00077, BOOL____00069, BOOL____00068], BOOL____00078) :: defines_var(BOOL____00078);
constraint array_bool_or([BOOL____00077, BOOL____00073, BOOL____00069], BOOL____00080) :: defines_var(BOOL____00080);
constraint array_bool_or([BOOL____00096, BOOL____00095, BOOL____00094], BOOL____00097) :: defines_var(BOOL____00097);
constraint array_bool_or([BOOL____00100, BOOL____00096, BOOL____00094], BOOL____00101) :: defines_var(BOOL____00101);
constraint array_bool_or([BOOL____00104, BOOL____00096, BOOL____00095], BOOL____00105) :: defines_var(BOOL____00105);
constraint array_bool_or([BOOL____00104, BOOL____00100, BOOL____00096], BOOL____00107) :: defines_var(BOOL____00107);
constraint array_bool_or([BOOL____00123, BOOL____00122, BOOL____00121], BOOL____00124) :: defines_var(BOOL____00124);
constraint array_bool_or([BOOL____00127, BOOL____00123, BOOL____00121], BOOL____00128) :: defines_var(BOOL____00128);
constraint array_bool_or([BOOL____00131, BOOL____00123, BOOL____00122], BOOL____00132) :: defines_var(BOOL____00132);
constraint array_bool_or([BOOL____00131, BOOL____00127, BOOL____00123], BOOL____00134) :: defines_var(BOOL____00134);
constraint array_bool_or([BOOL____00150, BOOL____00149, BOOL____00148], BOOL____00151) :: defines_var(BOOL____00151);
constraint array_bool_or([BOOL____00154, BOOL____00150, BOOL____00148], BOOL____00155) :: defines_var(BOOL____00155);
constraint array_bool_or([BOOL____00158, BOOL____00150, BOOL____00149], BOOL____00159) :: defines_var(BOOL____00159);
constraint array_bool_or([BOOL____00158, BOOL____00154, BOOL____00150], BOOL____00161) :: defines_var(BOOL____00161);
constraint array_bool_or([BOOL____00177, BOOL____00176, BOOL____00175], BOOL____00178) :: defines_var(BOOL____00178);
constraint array_bool_or([BOOL____00181, BOOL____00177, BOOL____00175], BOOL____00182) :: defines_var(BOOL____00182);
constraint array_bool_or([BOOL____00185, BOOL____00177, BOOL____00176], BOOL____00186) :: defines_var(BOOL____00186);
constraint array_bool_or([BOOL____00185, BOOL____00181, BOOL____00177], BOOL____00188) :: defines_var(BOOL____00188);
constraint array_bool_or([BOOL____00204, BOOL____00203, BOOL____00202], BOOL____00205) :: defines_var(BOOL____00205);
constraint array_bool_or([BOOL____00208, BOOL____00204, BOOL____00202], BOOL____00209) :: defines_var(BOOL____00209);
constraint array_bool_or([BOOL____00212, BOOL____00204, BOOL____00203], BOOL____00213) :: defines_var(BOOL____00213);
constraint array_bool_or([BOOL____00212, BOOL____00208, BOOL____00204], BOOL____00215) :: defines_var(BOOL____00215);
constraint array_bool_or([BOOL____00017, BOOL____00011, BOOL____00003, BOOL____00002], BOOL____00018) :: defines_var(BOOL____00018);
constraint array_bool_or([BOOL____00048, BOOL____00044, BOOL____00038, BOOL____00037], BOOL____00049) :: defines_var(BOOL____00049);
constraint array_bool_or([BOOL____00075, BOOL____00071, BOOL____00065, BOOL____00064], BOOL____00076) :: defines_var(BOOL____00076);
constraint array_bool_or([BOOL____00102, BOOL____00098, BOOL____00092, BOOL____00091], BOOL____00103) :: defines_var(BOOL____00103);
constraint array_bool_or([BOOL____00129, BOOL____00125, BOOL____00119, BOOL____00118], BOOL____00130) :: defines_var(BOOL____00130);
constraint array_bool_or([BOOL____00156, BOOL____00152, BOOL____00146, BOOL____00145], BOOL____00157) :: defines_var(BOOL____00157);
constraint array_bool_or([BOOL____00183, BOOL____00179, BOOL____00173, BOOL____00172], BOOL____00184) :: defines_var(BOOL____00184);
constraint array_bool_or([BOOL____00210, BOOL____00206, BOOL____00200, BOOL____00199], BOOL____00211) :: defines_var(BOOL____00211);
constraint array_bool_or([BOOL____00036, BOOL____00035, BOOL____00034, BOOL____00033, BOOL____00032, BOOL____00031, BOOL____00030, BOOL____00028, BOOL____00029], true);
constraint array_bool_or([BOOL____00063, BOOL____00062, BOOL____00061, BOOL____00060, BOOL____00059, BOOL____00058, BOOL____00057, BOOL____00055, BOOL____00056], true);
constraint array_bool_or([BOOL____00090, BOOL____00089, BOOL____00088, BOOL____00087, BOOL____00086, BOOL____00085, BOOL____00084, BOOL____00082, BOOL____00083], true);
constraint array_bool_or([BOOL____00117, BOOL____00116, BOOL____00115, BOOL____00114, BOOL____00113, BOOL____00112, BOOL____00111, BOOL____00109, BOOL____00110], true);
constraint array_bool_or([BOOL____00144, BOOL____00143, BOOL____00142, BOOL____00141, BOOL____00140, BOOL____00139, BOOL____00138, BOOL____00136, BOOL____00137], true);
constraint array_bool_or([BOOL____00171, BOOL____00170, BOOL____00169, BOOL____00168, BOOL____00167, BOOL____00166, BOOL____00165, BOOL____00163, BOOL____00164], true);
constraint array_bool_or([BOOL____00198, BOOL____00197, BOOL____00196, BOOL____00195, BOOL____00194, BOOL____00193, BOOL____00192, BOOL____00190, BOOL____00191], true);
constraint array_bool_or([BOOL____00225, BOOL____00224, BOOL____00223, BOOL____00222, BOOL____00221, BOOL____00220, BOOL____00219, BOOL____00217, BOOL____00218], true);
constraint int_eq_reif(1, x[1], BOOL____00001) :: defines_var(BOOL____00001);
constraint int_eq_reif(1, x[2], BOOL____00005) :: defines_var(BOOL____00005);
constraint int_eq_reif(1, x[3], BOOL____00010) :: defines_var(BOOL____00010);
constraint int_eq_reif(1, x[4], BOOL____00013) :: defines_var(BOOL____00013);
constraint int_eq_reif(1, x[5], BOOL____00016) :: defines_var(BOOL____00016);
constraint int_eq_reif(1, x[6], BOOL____00019) :: defines_var(BOOL____00019);
constraint int_eq_reif(1, x[7], BOOL____00022) :: defines_var(BOOL____00022);
constraint int_eq_reif(1, x[8], BOOL____00024) :: defines_var(BOOL____00024);
constraint int_eq_reif(1, x[9], BOOL____00026) :: defines_var(BOOL____00026);
constraint int_eq_reif(2, x[1], BOOL____00006) :: defines_var(BOOL____00006);
constraint int_eq_reif(2, x[2], BOOL____00002) :: defines_var(BOOL____00002);
constraint int_eq_reif(2, x[3], BOOL____00007) :: defines_var(BOOL____00007);
constraint int_eq_reif(2, x[4], BOOL____00003) :: defines_var(BOOL____00003);
constraint int_eq_reif(2, x[5], BOOL____00008) :: defines_var(BOOL____00008);
constraint int_eq_reif(2, x[6], BOOL____00011) :: defines_var(BOOL____00011);
constraint int_eq_reif(2, x[7], BOOL____00014) :: defines_var(BOOL____00014);
constraint int_eq_reif(2, x[8], BOOL____00017) :: defines_var(BOOL____00017);
constraint int_eq_reif(2, x[9], BOOL____00020) :: defines_var(BOOL____00020);
constraint int_eq_reif(3, x[1], BOOL____00040) :: defines_var(BOOL____00040);
constraint int_eq_reif(3, x[2], BOOL____00037) :: defines_var(BOOL____00037);
constraint int_eq_reif(3, x[3], BOOL____00041) :: defines_var(BOOL____00041);
constraint int_eq_reif(3, x[4], BOOL____00038) :: defines_var(BOOL____00038);
constraint int_eq_reif(3, x[5], BOOL____00042) :: defines_var(BOOL____00042);
constraint int_eq_reif(3, x[6], BOOL____00044) :: defines_var(BOOL____00044);
constraint int_eq_reif(3, x[7], BOOL____00046) :: defines_var(BOOL____00046);
constraint int_eq_reif(3, x[8], BOOL____00048) :: defines_var(BOOL____00048);
constraint int_eq_reif(3, x[9], BOOL____00050) :: defines_var(BOOL____00050);
constraint int_eq_reif(4, x[1], BOOL____00067) :: defines_var(BOOL____00067);
constraint int_eq_reif(4, x[2], BOOL____00064) :: defines_var(BOOL____00064);
constraint int_eq_reif(4, x[3], BOOL____00068) :: defines_var(BOOL____00068);
constraint int_eq_reif(4, x[4], BOOL____00065) :: defines_var(BOOL____00065);
constraint int_eq_reif(4, x[5], BOOL____00069) :: defines_var(BOOL____00069);
constraint int_eq_reif(4, x[6], BOOL____00071) :: defines_var(BOOL____00071);
constraint int_eq_reif(4, x[7], BOOL____00073) :: defines_var(BOOL____00073);
constraint int_eq_reif(4, x[8], BOOL____00075) :: defines_var(BOOL____00075);
constraint int_eq_reif(4, x[9], BOOL____00077) :: defines_var(BOOL____00077);
constraint int_eq_reif(5, x[1], BOOL____00094) :: defines_var(BOOL____00094);
constraint int_eq_reif(5, x[2], BOOL____00091) :: defines_var(BOOL____00091);
constraint int_eq_reif(5, x[3], BOOL____00095) :: defines_var(BOOL____00095);
constraint int_eq_reif(5, x[4], BOOL____00092) :: defines_var(BOOL____00092);
constraint int_eq_reif(5, x[5], BOOL____00096) :: defines_var(BOOL____00096);
constraint int_eq_reif(5, x[6], BOOL____00098) :: defines_var(BOOL____00098);
constraint int_eq_reif(5, x[7], BOOL____00100) :: defines_var(BOOL____00100);
constraint int_eq_reif(5, x[8], BOOL____00102) :: defines_var(BOOL____00102);
constraint int_eq_reif(5, x[9], BOOL____00104) :: defines_var(BOOL____00104);
constraint int_eq_reif(6, x[1], BOOL____00121) :: defines_var(BOOL____00121);
constraint int_eq_reif(6, x[2], BOOL____00118) :: defines_var(BOOL____00118);
constraint int_eq_reif(6, x[3], BOOL____00122) :: defines_var(BOOL____00122);
constraint int_eq_reif(6, x[4], BOOL____00119) :: defines_var(BOOL____00119);
constraint int_eq_reif(6, x[5], BOOL____00123) :: defines_var(BOOL____00123);
constraint int_eq_reif(6, x[6], BOOL____00125) :: defines_var(BOOL____00125);
constraint int_eq_reif(6, x[7], BOOL____00127) :: defines_var(BOOL____00127);
constraint int_eq_reif(6, x[8], BOOL____00129) :: defines_var(BOOL____00129);
constraint int_eq_reif(6, x[9], BOOL____00131) :: defines_var(BOOL____00131);
constraint int_eq_reif(7, x[1], BOOL____00148) :: defines_var(BOOL____00148);
constraint int_eq_reif(7, x[2], BOOL____00145) :: defines_var(BOOL____00145);
constraint int_eq_reif(7, x[3], BOOL____00149) :: defines_var(BOOL____00149);
constraint int_eq_reif(7, x[4], BOOL____00146) :: defines_var(BOOL____00146);
constraint int_eq_reif(7, x[5], BOOL____00150) :: defines_var(BOOL____00150);
constraint int_eq_reif(7, x[6], BOOL____00152) :: defines_var(BOOL____00152);
constraint int_eq_reif(7, x[7], BOOL____00154) :: defines_var(BOOL____00154);
constraint int_eq_reif(7, x[8], BOOL____00156) :: defines_var(BOOL____00156);
constraint int_eq_reif(7, x[9], BOOL____00158) :: defines_var(BOOL____00158);
constraint int_eq_reif(8, x[1], BOOL____00175) :: defines_var(BOOL____00175);
constraint int_eq_reif(8, x[2], BOOL____00172) :: defines_var(BOOL____00172);
constraint int_eq_reif(8, x[3], BOOL____00176) :: defines_var(BOOL____00176);
constraint int_eq_reif(8, x[4], BOOL____00173) :: defines_var(BOOL____00173);
constraint int_eq_reif(8, x[5], BOOL____00177) :: defines_var(BOOL____00177);
constraint int_eq_reif(8, x[6], BOOL____00179) :: defines_var(BOOL____00179);
constraint int_eq_reif(8, x[7], BOOL____00181) :: defines_var(BOOL____00181);
constraint int_eq_reif(8, x[8], BOOL____00183) :: defines_var(BOOL____00183);
constraint int_eq_reif(8, x[9], BOOL____00185) :: defines_var(BOOL____00185);
constraint int_eq_reif(9, x[1], BOOL____00202) :: defines_var(BOOL____00202);
constraint int_eq_reif(9, x[2], BOOL____00199) :: defines_var(BOOL____00199);
constraint int_eq_reif(9, x[3], BOOL____00203) :: defines_var(BOOL____00203);
constraint int_eq_reif(9, x[4], BOOL____00200) :: defines_var(BOOL____00200);
constraint int_eq_reif(9, x[5], BOOL____00204) :: defines_var(BOOL____00204);
constraint int_eq_reif(9, x[6], BOOL____00206) :: defines_var(BOOL____00206);
constraint int_eq_reif(9, x[7], BOOL____00208) :: defines_var(BOOL____00208);
constraint int_eq_reif(9, x[8], BOOL____00210) :: defines_var(BOOL____00210);
constraint int_eq_reif(9, x[9], BOOL____00212) :: defines_var(BOOL____00212);
solve  :: int_search([x[1], x[2], x[3], x[4], x[5], x[6], x[7], x[8], x[9]], first_fail, indomain_max, complete) satisfy;