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____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____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____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____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____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____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____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____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____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____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____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____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____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____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____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____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 0..1: INT____00008 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00012 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00016 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00020 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00024 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00028 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00032 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00036 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00040 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00044 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00048 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00052 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00056 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00060 :: is_defined_var :: var_is_introduced;
var 0..1: INT____00064 :: is_defined_var :: var_is_introduced;
var 0..5: INT____00065 :: is_defined_var :: var_is_introduced;
var 0..5: INT____00066 :: is_defined_var :: var_is_introduced;
var -5..4: bal;
var 0..5: c_max____00003;
var 1..5: c_min____00004;
array [1..3] of var 0..5: counts____00002;
array [1..6] of var 0..12: intervals____00001;
array [1..5] of var 0..6: x :: output_array([1..5]);
constraint array_bool_and([BOOL____00005, BOOL____00006], BOOL____00007) :: defines_var(BOOL____00007);
constraint array_bool_and([BOOL____00009, BOOL____00010], BOOL____00011) :: defines_var(BOOL____00011);
constraint array_bool_and([BOOL____00013, BOOL____00014], BOOL____00015) :: defines_var(BOOL____00015);
constraint array_bool_and([BOOL____00017, BOOL____00018], BOOL____00019) :: defines_var(BOOL____00019);
constraint array_bool_and([BOOL____00021, BOOL____00022], BOOL____00023) :: defines_var(BOOL____00023);
constraint array_bool_and([BOOL____00025, BOOL____00026], BOOL____00027) :: defines_var(BOOL____00027);
constraint array_bool_and([BOOL____00029, BOOL____00030], BOOL____00031) :: defines_var(BOOL____00031);
constraint array_bool_and([BOOL____00033, BOOL____00034], BOOL____00035) :: defines_var(BOOL____00035);
constraint array_bool_and([BOOL____00037, BOOL____00038], BOOL____00039) :: defines_var(BOOL____00039);
constraint array_bool_and([BOOL____00041, BOOL____00042], BOOL____00043) :: defines_var(BOOL____00043);
constraint array_bool_and([BOOL____00045, BOOL____00046], BOOL____00047) :: defines_var(BOOL____00047);
constraint array_bool_and([BOOL____00049, BOOL____00050], BOOL____00051) :: defines_var(BOOL____00051);
constraint array_bool_and([BOOL____00053, BOOL____00054], BOOL____00055) :: defines_var(BOOL____00055);
constraint array_bool_and([BOOL____00057, BOOL____00058], BOOL____00059) :: defines_var(BOOL____00059);
constraint array_bool_and([BOOL____00061, BOOL____00062], BOOL____00063) :: defines_var(BOOL____00063);
constraint array_bool_and([BOOL____00068, BOOL____00073, BOOL____00074], BOOL____00086) :: defines_var(BOOL____00086);
constraint array_bool_and([BOOL____00075, BOOL____00079, BOOL____00080], BOOL____00087) :: defines_var(BOOL____00087);
constraint array_bool_and([BOOL____00081, BOOL____00084, BOOL____00085], BOOL____00088) :: defines_var(BOOL____00088);
constraint array_bool_or([BOOL____00069, BOOL____00070], BOOL____00074) :: defines_var(BOOL____00074);
constraint array_bool_or([BOOL____00071, BOOL____00072], BOOL____00073) :: defines_var(BOOL____00073);
constraint array_bool_or([BOOL____00076, BOOL____00077], BOOL____00080) :: defines_var(BOOL____00080);
constraint array_bool_or([BOOL____00078, BOOL____00072], BOOL____00079) :: defines_var(BOOL____00079);
constraint array_bool_or([BOOL____00082, BOOL____00077], BOOL____00085) :: defines_var(BOOL____00085);
constraint array_bool_or([BOOL____00083, BOOL____00070], BOOL____00084) :: defines_var(BOOL____00084);
constraint array_bool_or([BOOL____00088, BOOL____00086, BOOL____00087], true);
constraint bool2int(BOOL____00007, INT____00008) :: defines_var(INT____00008);
constraint bool2int(BOOL____00011, INT____00012) :: defines_var(INT____00012);
constraint bool2int(BOOL____00015, INT____00016) :: defines_var(INT____00016);
constraint bool2int(BOOL____00019, INT____00020) :: defines_var(INT____00020);
constraint bool2int(BOOL____00023, INT____00024) :: defines_var(INT____00024);
constraint bool2int(BOOL____00027, INT____00028) :: defines_var(INT____00028);
constraint bool2int(BOOL____00031, INT____00032) :: defines_var(INT____00032);
constraint bool2int(BOOL____00035, INT____00036) :: defines_var(INT____00036);
constraint bool2int(BOOL____00039, INT____00040) :: defines_var(INT____00040);
constraint bool2int(BOOL____00043, INT____00044) :: defines_var(INT____00044);
constraint bool2int(BOOL____00047, INT____00048) :: defines_var(INT____00048);
constraint bool2int(BOOL____00051, INT____00052) :: defines_var(INT____00052);
constraint bool2int(BOOL____00055, INT____00056) :: defines_var(INT____00056);
constraint bool2int(BOOL____00059, INT____00060) :: defines_var(INT____00060);
constraint bool2int(BOOL____00063, INT____00064) :: defines_var(INT____00064);
constraint int_eq(3, x[3]);
constraint int_eq(3, x[4]);
constraint int_eq(4, x[2]);
constraint int_eq(4, x[5]);
constraint int_eq(6, x[1]);
constraint int_eq(intervals____00001[1], 0);
constraint int_eq(intervals____00001[2], 2);
constraint int_eq(intervals____00001[3], 3);
constraint int_eq(intervals____00001[4], 5);
constraint int_eq(intervals____00001[5], 6);
constraint int_eq(intervals____00001[6], 8);
constraint int_eq_reif(c_min____00004, counts____00002[1], BOOL____00068) :: defines_var(BOOL____00068);
constraint int_eq_reif(c_min____00004, counts____00002[2], BOOL____00075) :: defines_var(BOOL____00075);
constraint int_eq_reif(c_min____00004, counts____00002[3], BOOL____00081) :: defines_var(BOOL____00081);
constraint int_eq_reif(counts____00002[1], 0, BOOL____00077) :: defines_var(BOOL____00077);
constraint int_eq_reif(counts____00002[2], 0, BOOL____00070) :: defines_var(BOOL____00070);
constraint int_eq_reif(counts____00002[3], 0, BOOL____00072) :: defines_var(BOOL____00072);
constraint int_le_reif(counts____00002[1], counts____00002[2], BOOL____00069) :: defines_var(BOOL____00069);
constraint int_le_reif(counts____00002[1], counts____00002[3], BOOL____00071) :: defines_var(BOOL____00071);
constraint int_le_reif(counts____00002[2], counts____00002[1], BOOL____00076) :: defines_var(BOOL____00076);
constraint int_le_reif(counts____00002[2], counts____00002[3], BOOL____00078) :: defines_var(BOOL____00078);
constraint int_le_reif(counts____00002[3], counts____00002[1], BOOL____00082) :: defines_var(BOOL____00082);
constraint int_le_reif(counts____00002[3], counts____00002[2], BOOL____00083) :: defines_var(BOOL____00083);
constraint int_le_reif(intervals____00001[1], x[1], BOOL____00005) :: defines_var(BOOL____00005);
constraint int_le_reif(intervals____00001[1], x[2], BOOL____00009) :: defines_var(BOOL____00009);
constraint int_le_reif(intervals____00001[1], x[3], BOOL____00013) :: defines_var(BOOL____00013);
constraint int_le_reif(intervals____00001[1], x[4], BOOL____00017) :: defines_var(BOOL____00017);
constraint int_le_reif(intervals____00001[1], x[5], BOOL____00021) :: defines_var(BOOL____00021);
constraint int_le_reif(intervals____00001[3], x[1], BOOL____00025) :: defines_var(BOOL____00025);
constraint int_le_reif(intervals____00001[3], x[2], BOOL____00029) :: defines_var(BOOL____00029);
constraint int_le_reif(intervals____00001[3], x[3], BOOL____00033) :: defines_var(BOOL____00033);
constraint int_le_reif(intervals____00001[3], x[4], BOOL____00037) :: defines_var(BOOL____00037);
constraint int_le_reif(intervals____00001[3], x[5], BOOL____00041) :: defines_var(BOOL____00041);
constraint int_le_reif(intervals____00001[5], x[1], BOOL____00045) :: defines_var(BOOL____00045);
constraint int_le_reif(intervals____00001[5], x[2], BOOL____00049) :: defines_var(BOOL____00049);
constraint int_le_reif(intervals____00001[5], x[3], BOOL____00053) :: defines_var(BOOL____00053);
constraint int_le_reif(intervals____00001[5], x[4], BOOL____00057) :: defines_var(BOOL____00057);
constraint int_le_reif(intervals____00001[5], x[5], BOOL____00061) :: defines_var(BOOL____00061);
constraint int_le_reif(x[1], intervals____00001[2], BOOL____00006) :: defines_var(BOOL____00006);
constraint int_le_reif(x[1], intervals____00001[4], BOOL____00026) :: defines_var(BOOL____00026);
constraint int_le_reif(x[1], intervals____00001[6], BOOL____00046) :: defines_var(BOOL____00046);
constraint int_le_reif(x[2], intervals____00001[2], BOOL____00010) :: defines_var(BOOL____00010);
constraint int_le_reif(x[2], intervals____00001[4], BOOL____00030) :: defines_var(BOOL____00030);
constraint int_le_reif(x[2], intervals____00001[6], BOOL____00050) :: defines_var(BOOL____00050);
constraint int_le_reif(x[3], intervals____00001[2], BOOL____00014) :: defines_var(BOOL____00014);
constraint int_le_reif(x[3], intervals____00001[4], BOOL____00034) :: defines_var(BOOL____00034);
constraint int_le_reif(x[3], intervals____00001[6], BOOL____00054) :: defines_var(BOOL____00054);
constraint int_le_reif(x[4], intervals____00001[2], BOOL____00018) :: defines_var(BOOL____00018);
constraint int_le_reif(x[4], intervals____00001[4], BOOL____00038) :: defines_var(BOOL____00038);
constraint int_le_reif(x[4], intervals____00001[6], BOOL____00058) :: defines_var(BOOL____00058);
constraint int_le_reif(x[5], intervals____00001[2], BOOL____00022) :: defines_var(BOOL____00022);
constraint int_le_reif(x[5], intervals____00001[4], BOOL____00042) :: defines_var(BOOL____00042);
constraint int_le_reif(x[5], intervals____00001[6], BOOL____00062) :: defines_var(BOOL____00062);
constraint int_lin_eq([-1, -1, -1, -1, -1, 1], [INT____00008, INT____00012, INT____00016, INT____00020, INT____00024, counts____00002[1]], 0);
constraint int_lin_eq([-1, -1, -1, -1, -1, 1], [INT____00028, INT____00032, INT____00036, INT____00040, INT____00044, counts____00002[2]], 0);
constraint int_lin_eq([-1, -1, -1, -1, -1, 1], [INT____00048, INT____00052, INT____00056, INT____00060, INT____00064, counts____00002[3]], 0);
constraint int_max(counts____00002[1], counts____00002[1], INT____00065) :: defines_var(INT____00065);
constraint int_max(counts____00002[2], INT____00065, INT____00066) :: defines_var(INT____00066);
constraint int_max(counts____00002[3], INT____00066, c_max____00003);
constraint int_plus(bal, c_min____00004, c_max____00003);
solve satisfy;