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____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;
array [1..9] of var 1..4: x :: output_array([1..9]);
constraint array_bool_and([BOOL____00002, BOOL____00010], BOOL____00018) :: defines_var(BOOL____00018);
constraint array_bool_and([BOOL____00029, BOOL____00037], BOOL____00045) :: defines_var(BOOL____00045);
constraint array_bool_and([BOOL____00053, true], BOOL____00055) :: defines_var(BOOL____00055);
constraint array_bool_and([BOOL____00057, BOOL____00065], BOOL____00073) :: defines_var(BOOL____00073);
constraint array_bool_and([BOOL____00003, BOOL____00011, BOOL____00010], BOOL____00019) :: defines_var(BOOL____00019);
constraint array_bool_and([BOOL____00030, BOOL____00038, BOOL____00037], BOOL____00046) :: defines_var(BOOL____00046);
constraint array_bool_and([BOOL____00058, BOOL____00066, BOOL____00065], BOOL____00074) :: defines_var(BOOL____00074);
constraint array_bool_and([BOOL____00081, BOOL____00054, true], BOOL____00083) :: defines_var(BOOL____00083);
constraint array_bool_and([BOOL____00004, BOOL____00012, BOOL____00011, BOOL____00010], BOOL____00020) :: defines_var(BOOL____00020);
constraint array_bool_and([BOOL____00031, BOOL____00039, BOOL____00038, BOOL____00037], BOOL____00047) :: defines_var(BOOL____00047);
constraint array_bool_and([BOOL____00059, BOOL____00067, BOOL____00066, BOOL____00065], BOOL____00075) :: defines_var(BOOL____00075);
constraint array_bool_and([BOOL____00093, BOOL____00082, BOOL____00054, true], BOOL____00094) :: defines_var(BOOL____00094);
constraint array_bool_and([BOOL____00005, BOOL____00013, BOOL____00012, BOOL____00011, BOOL____00010], BOOL____00021) :: defines_var(BOOL____00021);
constraint array_bool_and([BOOL____00032, BOOL____00040, BOOL____00039, BOOL____00038, BOOL____00037], BOOL____00048) :: defines_var(BOOL____00048);
constraint array_bool_and([BOOL____00060, BOOL____00068, BOOL____00067, BOOL____00066, BOOL____00065], BOOL____00076) :: defines_var(BOOL____00076);
constraint array_bool_and([BOOL____00006, BOOL____00014, BOOL____00013, BOOL____00012, BOOL____00011, BOOL____00010], BOOL____00022) :: defines_var(BOOL____00022);
constraint array_bool_and([BOOL____00033, BOOL____00041, BOOL____00040, BOOL____00039, BOOL____00038, BOOL____00037], BOOL____00049) :: defines_var(BOOL____00049);
constraint array_bool_and([BOOL____00061, BOOL____00069, BOOL____00068, BOOL____00067, BOOL____00066, BOOL____00065], BOOL____00077) :: defines_var(BOOL____00077);
constraint array_bool_and([BOOL____00007, BOOL____00015, BOOL____00014, BOOL____00013, BOOL____00012, BOOL____00011, BOOL____00010], BOOL____00023) :: defines_var(BOOL____00023);
constraint array_bool_and([BOOL____00034, BOOL____00042, BOOL____00041, BOOL____00040, BOOL____00039, BOOL____00038, BOOL____00037], BOOL____00050) :: defines_var(BOOL____00050);
constraint array_bool_and([BOOL____00062, BOOL____00070, BOOL____00069, BOOL____00068, BOOL____00067, BOOL____00066, BOOL____00065], BOOL____00078) :: defines_var(BOOL____00078);
constraint array_bool_and([BOOL____00008, BOOL____00016, BOOL____00015, BOOL____00014, BOOL____00013, BOOL____00012, BOOL____00011, BOOL____00010], BOOL____00024) :: defines_var(BOOL____00024);
constraint array_bool_and([BOOL____00035, BOOL____00043, BOOL____00042, BOOL____00041, BOOL____00040, BOOL____00039, BOOL____00038, BOOL____00037], BOOL____00051) :: defines_var(BOOL____00051);
constraint array_bool_and([BOOL____00063, BOOL____00071, BOOL____00070, BOOL____00069, BOOL____00068, BOOL____00067, BOOL____00066, BOOL____00065], BOOL____00079) :: defines_var(BOOL____00079);
constraint array_bool_and([BOOL____00009, BOOL____00017, BOOL____00016, BOOL____00015, BOOL____00014, BOOL____00013, BOOL____00012, BOOL____00011, BOOL____00010], BOOL____00025) :: defines_var(BOOL____00025);
constraint array_bool_and([BOOL____00036, BOOL____00044, BOOL____00043, BOOL____00042, BOOL____00041, BOOL____00040, BOOL____00039, BOOL____00038, BOOL____00037], BOOL____00052) :: defines_var(BOOL____00052);
constraint array_bool_and([BOOL____00064, BOOL____00072, BOOL____00071, BOOL____00070, BOOL____00069, BOOL____00068, BOOL____00067, BOOL____00066, BOOL____00065], BOOL____00080) :: defines_var(BOOL____00080);
constraint array_bool_or([BOOL____00009, BOOL____00008, BOOL____00007, BOOL____00006, BOOL____00005, BOOL____00004, BOOL____00003, BOOL____00002, BOOL____00001], true);
constraint array_bool_or([BOOL____00025, BOOL____00024, BOOL____00023, BOOL____00022, BOOL____00021, BOOL____00020, BOOL____00019, BOOL____00001, BOOL____00018], BOOL____00027) :: defines_var(BOOL____00027);
constraint array_bool_or([BOOL____00036, BOOL____00035, BOOL____00034, BOOL____00033, BOOL____00032, BOOL____00031, BOOL____00030, BOOL____00029, BOOL____00028], BOOL____00054) :: defines_var(BOOL____00054);
constraint array_bool_or([BOOL____00052, BOOL____00051, BOOL____00050, BOOL____00049, BOOL____00048, BOOL____00047, BOOL____00046, BOOL____00028, BOOL____00045], BOOL____00053) :: defines_var(BOOL____00053);
constraint array_bool_or([BOOL____00064, BOOL____00063, BOOL____00062, BOOL____00061, BOOL____00060, BOOL____00059, BOOL____00058, BOOL____00057, BOOL____00056], BOOL____00082) :: defines_var(BOOL____00082);
constraint array_bool_or([BOOL____00080, BOOL____00079, BOOL____00078, BOOL____00077, BOOL____00076, BOOL____00075, BOOL____00074, BOOL____00056, BOOL____00073], BOOL____00081) :: defines_var(BOOL____00081);
constraint array_bool_or([BOOL____00092, BOOL____00091, BOOL____00090, BOOL____00089, BOOL____00088, BOOL____00087, BOOL____00086, BOOL____00085, BOOL____00084], BOOL____00093) :: defines_var(BOOL____00093);
constraint bool_le(true, BOOL____00027);
constraint bool_le(BOOL____00054, BOOL____00055);
constraint bool_le(BOOL____00082, BOOL____00083);
constraint bool_le(BOOL____00093, BOOL____00094);
constraint int_eq_reif(x[1], 1, BOOL____00001) :: defines_var(BOOL____00001);
constraint int_eq_reif(x[1], 2, BOOL____00028) :: defines_var(BOOL____00028);
constraint int_eq_reif(x[1], 3, BOOL____00056) :: defines_var(BOOL____00056);
constraint int_eq_reif(x[1], 4, BOOL____00084) :: defines_var(BOOL____00084);
constraint int_eq_reif(x[2], 1, BOOL____00002) :: defines_var(BOOL____00002);
constraint int_eq_reif(x[2], 2, BOOL____00029) :: defines_var(BOOL____00029);
constraint int_eq_reif(x[2], 3, BOOL____00057) :: defines_var(BOOL____00057);
constraint int_eq_reif(x[2], 4, BOOL____00085) :: defines_var(BOOL____00085);
constraint int_eq_reif(x[3], 1, BOOL____00003) :: defines_var(BOOL____00003);
constraint int_eq_reif(x[3], 2, BOOL____00030) :: defines_var(BOOL____00030);
constraint int_eq_reif(x[3], 3, BOOL____00058) :: defines_var(BOOL____00058);
constraint int_eq_reif(x[3], 4, BOOL____00086) :: defines_var(BOOL____00086);
constraint int_eq_reif(x[4], 1, BOOL____00004) :: defines_var(BOOL____00004);
constraint int_eq_reif(x[4], 2, BOOL____00031) :: defines_var(BOOL____00031);
constraint int_eq_reif(x[4], 3, BOOL____00059) :: defines_var(BOOL____00059);
constraint int_eq_reif(x[4], 4, BOOL____00087) :: defines_var(BOOL____00087);
constraint int_eq_reif(x[5], 1, BOOL____00005) :: defines_var(BOOL____00005);
constraint int_eq_reif(x[5], 2, BOOL____00032) :: defines_var(BOOL____00032);
constraint int_eq_reif(x[5], 3, BOOL____00060) :: defines_var(BOOL____00060);
constraint int_eq_reif(x[5], 4, BOOL____00088) :: defines_var(BOOL____00088);
constraint int_eq_reif(x[6], 1, BOOL____00006) :: defines_var(BOOL____00006);
constraint int_eq_reif(x[6], 2, BOOL____00033) :: defines_var(BOOL____00033);
constraint int_eq_reif(x[6], 3, BOOL____00061) :: defines_var(BOOL____00061);
constraint int_eq_reif(x[6], 4, BOOL____00089) :: defines_var(BOOL____00089);
constraint int_eq_reif(x[7], 1, BOOL____00007) :: defines_var(BOOL____00007);
constraint int_eq_reif(x[7], 2, BOOL____00034) :: defines_var(BOOL____00034);
constraint int_eq_reif(x[7], 3, BOOL____00062) :: defines_var(BOOL____00062);
constraint int_eq_reif(x[7], 4, BOOL____00090) :: defines_var(BOOL____00090);
constraint int_eq_reif(x[8], 1, BOOL____00008) :: defines_var(BOOL____00008);
constraint int_eq_reif(x[8], 2, BOOL____00035) :: defines_var(BOOL____00035);
constraint int_eq_reif(x[8], 3, BOOL____00063) :: defines_var(BOOL____00063);
constraint int_eq_reif(x[8], 4, BOOL____00091) :: defines_var(BOOL____00091);
constraint int_eq_reif(x[9], 1, BOOL____00009) :: defines_var(BOOL____00009);
constraint int_eq_reif(x[9], 2, BOOL____00036) :: defines_var(BOOL____00036);
constraint int_eq_reif(x[9], 3, BOOL____00064) :: defines_var(BOOL____00064);
constraint int_eq_reif(x[9], 4, BOOL____00092) :: defines_var(BOOL____00092);
constraint int_le_reif(x[1], 1, BOOL____00010) :: defines_var(BOOL____00010);
constraint int_le_reif(x[1], 2, BOOL____00037) :: defines_var(BOOL____00037);
constraint int_le_reif(x[1], 3, BOOL____00065) :: defines_var(BOOL____00065);
constraint int_le_reif(x[2], 1, BOOL____00011) :: defines_var(BOOL____00011);
constraint int_le_reif(x[2], 2, BOOL____00038) :: defines_var(BOOL____00038);
constraint int_le_reif(x[2], 3, BOOL____00066) :: defines_var(BOOL____00066);
constraint int_le_reif(x[3], 1, BOOL____00012) :: defines_var(BOOL____00012);
constraint int_le_reif(x[3], 2, BOOL____00039) :: defines_var(BOOL____00039);
constraint int_le_reif(x[3], 3, BOOL____00067) :: defines_var(BOOL____00067);
constraint int_le_reif(x[4], 1, BOOL____00013) :: defines_var(BOOL____00013);
constraint int_le_reif(x[4], 2, BOOL____00040) :: defines_var(BOOL____00040);
constraint int_le_reif(x[4], 3, BOOL____00068) :: defines_var(BOOL____00068);
constraint int_le_reif(x[5], 1, BOOL____00014) :: defines_var(BOOL____00014);
constraint int_le_reif(x[5], 2, BOOL____00041) :: defines_var(BOOL____00041);
constraint int_le_reif(x[5], 3, BOOL____00069) :: defines_var(BOOL____00069);
constraint int_le_reif(x[6], 1, BOOL____00015) :: defines_var(BOOL____00015);
constraint int_le_reif(x[6], 2, BOOL____00042) :: defines_var(BOOL____00042);
constraint int_le_reif(x[6], 3, BOOL____00070) :: defines_var(BOOL____00070);
constraint int_le_reif(x[7], 1, BOOL____00016) :: defines_var(BOOL____00016);
constraint int_le_reif(x[7], 2, BOOL____00043) :: defines_var(BOOL____00043);
constraint int_le_reif(x[7], 3, BOOL____00071) :: defines_var(BOOL____00071);
constraint int_le_reif(x[8], 1, BOOL____00017) :: defines_var(BOOL____00017);
constraint int_le_reif(x[8], 2, BOOL____00044) :: defines_var(BOOL____00044);
constraint int_le_reif(x[8], 3, BOOL____00072) :: defines_var(BOOL____00072);
solve satisfy;