TSTP Solution File: SYN489+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN489+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 11:58:07 EDT 2024

% Result   : Theorem 0.59s 0.84s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  169
% Syntax   : Number of formulae    :  747 (   1 unt;   0 def)
%            Number of atoms       : 7076 (   0 equ)
%            Maximal formula atoms :  749 (   9 avg)
%            Number of connectives : 9533 (3204   ~;4459   |;1218   &)
%                                         ( 168 <=>; 484  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  115 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  206 ( 205 usr; 202 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  946 ( 946   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2256,plain,
    $false,
    inference(avatar_sat_refutation,[],[f284,f293,f306,f333,f345,f349,f353,f369,f381,f385,f386,f390,f395,f403,f404,f408,f409,f417,f418,f431,f432,f433,f437,f438,f446,f448,f449,f453,f454,f455,f459,f460,f464,f468,f472,f473,f479,f492,f493,f498,f507,f512,f522,f531,f532,f533,f544,f545,f546,f547,f551,f552,f562,f567,f572,f578,f583,f588,f594,f599,f604,f610,f615,f620,f626,f631,f636,f642,f647,f652,f658,f663,f668,f674,f679,f684,f685,f690,f695,f700,f706,f711,f716,f722,f727,f732,f738,f743,f748,f754,f759,f764,f770,f775,f780,f786,f791,f796,f802,f807,f812,f834,f839,f844,f866,f871,f876,f882,f887,f892,f898,f903,f908,f914,f919,f924,f930,f935,f940,f946,f951,f956,f962,f967,f972,f994,f999,f1004,f1010,f1015,f1020,f1026,f1031,f1036,f1042,f1047,f1052,f1058,f1063,f1068,f1069,f1076,f1087,f1102,f1109,f1126,f1135,f1147,f1162,f1175,f1194,f1198,f1203,f1206,f1221,f1229,f1260,f1261,f1262,f1268,f1280,f1281,f1294,f1295,f1305,f1306,f1307,f1308,f1322,f1323,f1331,f1355,f1357,f1379,f1449,f1460,f1471,f1476,f1478,f1485,f1505,f1517,f1518,f1539,f1540,f1541,f1561,f1565,f1575,f1614,f1660,f1677,f1691,f1703,f1713,f1714,f1715,f1724,f1725,f1726,f1762,f1774,f1786,f1823,f1857,f1862,f1863,f1872,f1880,f1883,f1946,f1948,f1949,f1950,f1982,f1983,f1990,f1991,f2009,f2024,f2066,f2088,f2089,f2194,f2195,f2221,f2230,f2247,f2249,f2251,f2254]) ).

fof(f2254,plain,
    ( spl0_99
    | spl0_186
    | ~ spl0_64
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2241,f740,f549,f1656,f735]) ).

fof(f735,plain,
    ( spl0_99
  <=> c1_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1656,plain,
    ( spl0_186
  <=> c3_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f549,plain,
    ( spl0_64
  <=> ! [X113] :
        ( c3_1(X113)
        | c0_1(X113)
        | c1_1(X113) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f740,plain,
    ( spl0_100
  <=> c0_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2241,plain,
    ( c3_1(a2549)
    | c1_1(a2549)
    | ~ spl0_64
    | spl0_100 ),
    inference(resolution,[],[f550,f742]) ).

fof(f742,plain,
    ( ~ c0_1(a2549)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f550,plain,
    ( ! [X113] :
        ( c0_1(X113)
        | c3_1(X113)
        | c1_1(X113) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f2251,plain,
    ( spl0_118
    | spl0_117
    | ~ spl0_64
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2238,f841,f549,f831,f836]) ).

fof(f836,plain,
    ( spl0_118
  <=> c1_1(a2536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f831,plain,
    ( spl0_117
  <=> c3_1(a2536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f841,plain,
    ( spl0_119
  <=> c0_1(a2536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2238,plain,
    ( c3_1(a2536)
    | c1_1(a2536)
    | ~ spl0_64
    | spl0_119 ),
    inference(resolution,[],[f550,f843]) ).

fof(f843,plain,
    ( ~ c0_1(a2536)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f2249,plain,
    ( spl0_189
    | spl0_150
    | ~ spl0_64
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2236,f1017,f549,f1007,f1859]) ).

fof(f1859,plain,
    ( spl0_189
  <=> c1_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1007,plain,
    ( spl0_150
  <=> c3_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1017,plain,
    ( spl0_152
  <=> c0_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2236,plain,
    ( c3_1(a2519)
    | c1_1(a2519)
    | ~ spl0_64
    | spl0_152 ),
    inference(resolution,[],[f550,f1019]) ).

fof(f1019,plain,
    ( ~ c0_1(a2519)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f2247,plain,
    ( spl0_160
    | spl0_188
    | ~ spl0_64
    | spl0_161 ),
    inference(avatar_split_clause,[],[f2234,f1065,f549,f1854,f1060]) ).

fof(f1060,plain,
    ( spl0_160
  <=> c1_1(a2516) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1854,plain,
    ( spl0_188
  <=> c3_1(a2516) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1065,plain,
    ( spl0_161
  <=> c0_1(a2516) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2234,plain,
    ( c3_1(a2516)
    | c1_1(a2516)
    | ~ spl0_64
    | spl0_161 ),
    inference(resolution,[],[f550,f1067]) ).

fof(f1067,plain,
    ( ~ c0_1(a2516)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f2230,plain,
    ( spl0_99
    | ~ spl0_101
    | ~ spl0_63
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2218,f740,f541,f745,f735]) ).

fof(f745,plain,
    ( spl0_101
  <=> c2_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f541,plain,
    ( spl0_63
  <=> ! [X100] :
        ( ~ c2_1(X100)
        | c0_1(X100)
        | c1_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2218,plain,
    ( ~ c2_1(a2549)
    | c1_1(a2549)
    | ~ spl0_63
    | spl0_100 ),
    inference(resolution,[],[f542,f742]) ).

fof(f542,plain,
    ( ! [X100] :
        ( c0_1(X100)
        | ~ c2_1(X100)
        | c1_1(X100) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f2221,plain,
    ( spl0_181
    | ~ spl0_158
    | ~ spl0_63
    | spl0_157 ),
    inference(avatar_split_clause,[],[f2212,f1044,f541,f1049,f1376]) ).

fof(f1376,plain,
    ( spl0_181
  <=> c1_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1049,plain,
    ( spl0_158
  <=> c2_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1044,plain,
    ( spl0_157
  <=> c0_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2212,plain,
    ( ~ c2_1(a2517)
    | c1_1(a2517)
    | ~ spl0_63
    | spl0_157 ),
    inference(resolution,[],[f542,f1046]) ).

fof(f1046,plain,
    ( ~ c0_1(a2517)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1044]) ).

fof(f2195,plain,
    ( spl0_150
    | spl0_152
    | ~ spl0_61
    | spl0_151 ),
    inference(avatar_split_clause,[],[f2190,f1012,f529,f1017,f1007]) ).

fof(f529,plain,
    ( spl0_61
  <=> ! [X89] :
        ( c3_1(X89)
        | c0_1(X89)
        | c2_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1012,plain,
    ( spl0_151
  <=> c2_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2190,plain,
    ( c0_1(a2519)
    | c3_1(a2519)
    | ~ spl0_61
    | spl0_151 ),
    inference(resolution,[],[f530,f1014]) ).

fof(f1014,plain,
    ( ~ c2_1(a2519)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f530,plain,
    ( ! [X89] :
        ( c2_1(X89)
        | c0_1(X89)
        | c3_1(X89) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f2194,plain,
    ( spl0_188
    | spl0_161
    | ~ spl0_61
    | spl0_159 ),
    inference(avatar_split_clause,[],[f2189,f1055,f529,f1065,f1854]) ).

fof(f1055,plain,
    ( spl0_159
  <=> c2_1(a2516) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2189,plain,
    ( c0_1(a2516)
    | c3_1(a2516)
    | ~ spl0_61
    | spl0_159 ),
    inference(resolution,[],[f530,f1057]) ).

fof(f1057,plain,
    ( ~ c2_1(a2516)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f2089,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_54
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2077,f772,f495,f767,f777]) ).

fof(f777,plain,
    ( spl0_107
  <=> c1_1(a2545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f767,plain,
    ( spl0_105
  <=> c0_1(a2545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f495,plain,
    ( spl0_54
  <=> ! [X64] :
        ( ~ c2_1(X64)
        | c0_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f772,plain,
    ( spl0_106
  <=> c2_1(a2545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2077,plain,
    ( c0_1(a2545)
    | ~ c1_1(a2545)
    | ~ spl0_54
    | ~ spl0_106 ),
    inference(resolution,[],[f496,f774]) ).

fof(f774,plain,
    ( c2_1(a2545)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f496,plain,
    ( ! [X64] :
        ( ~ c2_1(X64)
        | c0_1(X64)
        | ~ c1_1(X64) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f2088,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_54
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2073,f1457,f495,f911,f921]) ).

fof(f921,plain,
    ( spl0_134
  <=> c1_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f911,plain,
    ( spl0_132
  <=> c0_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1457,plain,
    ( spl0_182
  <=> c2_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2073,plain,
    ( c0_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_54
    | ~ spl0_182 ),
    inference(resolution,[],[f496,f1459]) ).

fof(f1459,plain,
    ( c2_1(a2526)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f2066,plain,
    ( spl0_150
    | spl0_151
    | ~ spl0_47
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f2049,f1859,f462,f1012,f1007]) ).

fof(f462,plain,
    ( spl0_47
  <=> ! [X45] :
        ( ~ c1_1(X45)
        | c2_1(X45)
        | c3_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2049,plain,
    ( c2_1(a2519)
    | c3_1(a2519)
    | ~ spl0_47
    | ~ spl0_189 ),
    inference(resolution,[],[f463,f1861]) ).

fof(f1861,plain,
    ( c1_1(a2519)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1859]) ).

fof(f463,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | c2_1(X45)
        | c3_1(X45) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f2024,plain,
    ( spl0_159
    | spl0_160
    | ~ spl0_45
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2011,f1854,f451,f1060,f1055]) ).

fof(f451,plain,
    ( spl0_45
  <=> ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2011,plain,
    ( c1_1(a2516)
    | c2_1(a2516)
    | ~ spl0_45
    | ~ spl0_188 ),
    inference(resolution,[],[f452,f1856]) ).

fof(f1856,plain,
    ( c3_1(a2516)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1854]) ).

fof(f452,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f2009,plain,
    ( ~ spl0_89
    | spl0_87
    | ~ spl0_39
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2003,f1084,f420,f671,f681]) ).

fof(f681,plain,
    ( spl0_89
  <=> c0_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f671,plain,
    ( spl0_87
  <=> c1_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f420,plain,
    ( spl0_39
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1084,plain,
    ( spl0_163
  <=> c3_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2003,plain,
    ( c1_1(a2555)
    | ~ c0_1(a2555)
    | ~ spl0_39
    | ~ spl0_163 ),
    inference(resolution,[],[f421,f1086]) ).

fof(f1086,plain,
    ( c3_1(a2555)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f421,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c0_1(X22) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f1991,plain,
    ( ~ spl0_92
    | spl0_90
    | ~ spl0_26
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1974,f1159,f363,f687,f697]) ).

fof(f697,plain,
    ( spl0_92
  <=> c0_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f687,plain,
    ( spl0_90
  <=> c3_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f363,plain,
    ( spl0_26
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1159,plain,
    ( spl0_170
  <=> c2_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1974,plain,
    ( c3_1(a2553)
    | ~ c0_1(a2553)
    | ~ spl0_26
    | ~ spl0_170 ),
    inference(resolution,[],[f364,f1161]) ).

fof(f1161,plain,
    ( c2_1(a2553)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f364,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c0_1(X5) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f1990,plain,
    ( ~ spl0_176
    | spl0_93
    | ~ spl0_26
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1973,f713,f363,f703,f1257]) ).

fof(f1257,plain,
    ( spl0_176
  <=> c0_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f703,plain,
    ( spl0_93
  <=> c3_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f713,plain,
    ( spl0_95
  <=> c2_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1973,plain,
    ( c3_1(a2552)
    | ~ c0_1(a2552)
    | ~ spl0_26
    | ~ spl0_95 ),
    inference(resolution,[],[f364,f715]) ).

fof(f715,plain,
    ( c2_1(a2552)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f1983,plain,
    ( ~ spl0_137
    | spl0_135
    | ~ spl0_26
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1966,f932,f363,f927,f937]) ).

fof(f937,plain,
    ( spl0_137
  <=> c0_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f927,plain,
    ( spl0_135
  <=> c3_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f932,plain,
    ( spl0_136
  <=> c2_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1966,plain,
    ( c3_1(a2525)
    | ~ c0_1(a2525)
    | ~ spl0_26
    | ~ spl0_136 ),
    inference(resolution,[],[f364,f934]) ).

fof(f934,plain,
    ( c2_1(a2525)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f1982,plain,
    ( ~ spl0_143
    | spl0_141
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1965,f1172,f363,f959,f969]) ).

fof(f969,plain,
    ( spl0_143
  <=> c0_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f959,plain,
    ( spl0_141
  <=> c3_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1172,plain,
    ( spl0_172
  <=> c2_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1965,plain,
    ( c3_1(a2523)
    | ~ c0_1(a2523)
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(resolution,[],[f364,f1174]) ).

fof(f1174,plain,
    ( c2_1(a2523)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1172]) ).

fof(f1950,plain,
    ( spl0_111
    | spl0_112
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1789,f809,f397,f804,f799]) ).

fof(f799,plain,
    ( spl0_111
  <=> c3_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f804,plain,
    ( spl0_112
  <=> c2_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f397,plain,
    ( spl0_34
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f809,plain,
    ( spl0_113
  <=> c0_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1789,plain,
    ( c2_1(a2540)
    | c3_1(a2540)
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(resolution,[],[f398,f811]) ).

fof(f811,plain,
    ( c0_1(a2540)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f398,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f1949,plain,
    ( ~ spl0_86
    | spl0_85
    | ~ spl0_39
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1942,f1265,f420,f660,f665]) ).

fof(f665,plain,
    ( spl0_86
  <=> c0_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f660,plain,
    ( spl0_85
  <=> c1_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1265,plain,
    ( spl0_177
  <=> c3_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1942,plain,
    ( c1_1(a2564)
    | ~ c0_1(a2564)
    | ~ spl0_39
    | ~ spl0_177 ),
    inference(resolution,[],[f421,f1267]) ).

fof(f1267,plain,
    ( c3_1(a2564)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1265]) ).

fof(f1948,plain,
    ( ~ spl0_104
    | spl0_102
    | ~ spl0_39
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1940,f756,f420,f751,f761]) ).

fof(f761,plain,
    ( spl0_104
  <=> c0_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f751,plain,
    ( spl0_102
  <=> c1_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f756,plain,
    ( spl0_103
  <=> c3_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1940,plain,
    ( c1_1(a2548)
    | ~ c0_1(a2548)
    | ~ spl0_39
    | ~ spl0_103 ),
    inference(resolution,[],[f421,f758]) ).

fof(f758,plain,
    ( c3_1(a2548)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f1946,plain,
    ( ~ spl0_174
    | spl0_147
    | ~ spl0_39
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1934,f996,f420,f991,f1200]) ).

fof(f1200,plain,
    ( spl0_174
  <=> c0_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f991,plain,
    ( spl0_147
  <=> c1_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f996,plain,
    ( spl0_148
  <=> c3_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1934,plain,
    ( c1_1(a2521)
    | ~ c0_1(a2521)
    | ~ spl0_39
    | ~ spl0_148 ),
    inference(resolution,[],[f421,f998]) ).

fof(f998,plain,
    ( c3_1(a2521)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f1883,plain,
    ( ~ spl0_143
    | spl0_141
    | ~ spl0_28
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1766,f964,f371,f959,f969]) ).

fof(f371,plain,
    ( spl0_28
  <=> ! [X6] :
        ( ~ c1_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f964,plain,
    ( spl0_142
  <=> c1_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1766,plain,
    ( c3_1(a2523)
    | ~ c0_1(a2523)
    | ~ spl0_28
    | ~ spl0_142 ),
    inference(resolution,[],[f372,f966]) ).

fof(f966,plain,
    ( c1_1(a2523)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f372,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1880,plain,
    ( ~ spl0_98
    | spl0_165
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1772,f724,f371,f1097,f729]) ).

fof(f729,plain,
    ( spl0_98
  <=> c0_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1097,plain,
    ( spl0_165
  <=> c3_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f724,plain,
    ( spl0_97
  <=> c1_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1772,plain,
    ( c3_1(a2551)
    | ~ c0_1(a2551)
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(resolution,[],[f372,f726]) ).

fof(f726,plain,
    ( c1_1(a2551)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f1872,plain,
    ( ~ spl0_140
    | spl0_180
    | ~ spl0_51
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1865,f948,f481,f1352,f953]) ).

fof(f953,plain,
    ( spl0_140
  <=> c1_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1352,plain,
    ( spl0_180
  <=> c0_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f481,plain,
    ( spl0_51
  <=> ! [X59] :
        ( ~ c3_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f948,plain,
    ( spl0_139
  <=> c3_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1865,plain,
    ( c0_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_51
    | ~ spl0_139 ),
    inference(resolution,[],[f482,f950]) ).

fof(f950,plain,
    ( c3_1(a2524)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f482,plain,
    ( ! [X59] :
        ( ~ c3_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1863,plain,
    ( spl0_123
    | spl0_125
    | ~ spl0_49
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1843,f868,f470,f873,f863]) ).

fof(f863,plain,
    ( spl0_123
  <=> c3_1(a2533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f873,plain,
    ( spl0_125
  <=> c1_1(a2533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f470,plain,
    ( spl0_49
  <=> ! [X50] :
        ( c3_1(X50)
        | c1_1(X50)
        | c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f868,plain,
    ( spl0_124
  <=> c2_1(a2533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1843,plain,
    ( c1_1(a2533)
    | c3_1(a2533)
    | ~ spl0_49
    | spl0_124 ),
    inference(resolution,[],[f471,f870]) ).

fof(f870,plain,
    ( ~ c2_1(a2533)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f471,plain,
    ( ! [X50] :
        ( c2_1(X50)
        | c1_1(X50)
        | c3_1(X50) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f1862,plain,
    ( spl0_150
    | spl0_189
    | ~ spl0_49
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1835,f1012,f470,f1859,f1007]) ).

fof(f1835,plain,
    ( c1_1(a2519)
    | c3_1(a2519)
    | ~ spl0_49
    | spl0_151 ),
    inference(resolution,[],[f471,f1014]) ).

fof(f1857,plain,
    ( spl0_188
    | spl0_160
    | ~ spl0_49
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1833,f1055,f470,f1060,f1854]) ).

fof(f1833,plain,
    ( c1_1(a2516)
    | c3_1(a2516)
    | ~ spl0_49
    | spl0_159 ),
    inference(resolution,[],[f471,f1057]) ).

fof(f1823,plain,
    ( spl0_111
    | spl0_171
    | ~ spl0_43
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1811,f809,f440,f1166,f799]) ).

fof(f1166,plain,
    ( spl0_171
  <=> c1_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f440,plain,
    ( spl0_43
  <=> ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | c3_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1811,plain,
    ( c1_1(a2540)
    | c3_1(a2540)
    | ~ spl0_43
    | ~ spl0_113 ),
    inference(resolution,[],[f441,f811]) ).

fof(f441,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | c3_1(X31) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1786,plain,
    ( ~ spl0_180
    | spl0_138
    | ~ spl0_32
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1778,f953,f388,f943,f1352]) ).

fof(f943,plain,
    ( spl0_138
  <=> c2_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f388,plain,
    ( spl0_32
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1778,plain,
    ( c2_1(a2524)
    | ~ c0_1(a2524)
    | ~ spl0_32
    | ~ spl0_140 ),
    inference(resolution,[],[f389,f955]) ).

fof(f955,plain,
    ( c1_1(a2524)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f389,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1774,plain,
    ( ~ spl0_137
    | spl0_135
    | ~ spl0_28
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1768,f1223,f371,f927,f937]) ).

fof(f1223,plain,
    ( spl0_175
  <=> c1_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1768,plain,
    ( c3_1(a2525)
    | ~ c0_1(a2525)
    | ~ spl0_28
    | ~ spl0_175 ),
    inference(resolution,[],[f372,f1224]) ).

fof(f1224,plain,
    ( c1_1(a2525)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1762,plain,
    ( ~ spl0_101
    | spl0_100
    | ~ spl0_50
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1759,f1656,f475,f740,f745]) ).

fof(f475,plain,
    ( spl0_50
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | ~ c2_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1759,plain,
    ( c0_1(a2549)
    | ~ c2_1(a2549)
    | ~ spl0_50
    | ~ spl0_186 ),
    inference(resolution,[],[f1658,f476]) ).

fof(f476,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | ~ c2_1(X53) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f1658,plain,
    ( c3_1(a2549)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1656]) ).

fof(f1726,plain,
    ( ~ spl0_128
    | ~ spl0_187
    | ~ spl0_23
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1719,f884,f351,f1721,f889]) ).

fof(f889,plain,
    ( spl0_128
  <=> c1_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1721,plain,
    ( spl0_187
  <=> c0_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f351,plain,
    ( spl0_23
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f884,plain,
    ( spl0_127
  <=> c2_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1719,plain,
    ( ~ c0_1(a2531)
    | ~ c1_1(a2531)
    | ~ spl0_23
    | ~ spl0_127 ),
    inference(resolution,[],[f886,f352]) ).

fof(f352,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f886,plain,
    ( c2_1(a2531)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f1725,plain,
    ( ~ spl0_128
    | spl0_126
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1718,f884,f355,f879,f889]) ).

fof(f879,plain,
    ( spl0_126
  <=> c3_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f355,plain,
    ( spl0_24
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1718,plain,
    ( c3_1(a2531)
    | ~ c1_1(a2531)
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(resolution,[],[f886,f356]) ).

fof(f356,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f1724,plain,
    ( ~ spl0_128
    | spl0_187
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1717,f884,f495,f1721,f889]) ).

fof(f1717,plain,
    ( c0_1(a2531)
    | ~ c1_1(a2531)
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(resolution,[],[f886,f496]) ).

fof(f1715,plain,
    ( spl0_108
    | spl0_185
    | ~ spl0_58
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1709,f793,f514,f1543,f783]) ).

fof(f783,plain,
    ( spl0_108
  <=> c2_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1543,plain,
    ( spl0_185
  <=> c0_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f514,plain,
    ( spl0_58
  <=> ! [X79] :
        ( ~ c3_1(X79)
        | c0_1(X79)
        | c2_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f793,plain,
    ( spl0_110
  <=> c3_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1709,plain,
    ( c0_1(a2541)
    | c2_1(a2541)
    | ~ spl0_58
    | ~ spl0_110 ),
    inference(resolution,[],[f515,f795]) ).

fof(f795,plain,
    ( c3_1(a2541)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f515,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | c0_1(X79)
        | c2_1(X79) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f1714,plain,
    ( spl0_184
    | spl0_130
    | ~ spl0_58
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1708,f905,f514,f900,f1514]) ).

fof(f1514,plain,
    ( spl0_184
  <=> c2_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f900,plain,
    ( spl0_130
  <=> c0_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f905,plain,
    ( spl0_131
  <=> c3_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1708,plain,
    ( c0_1(a2528)
    | c2_1(a2528)
    | ~ spl0_58
    | ~ spl0_131 ),
    inference(resolution,[],[f515,f907]) ).

fof(f907,plain,
    ( c3_1(a2528)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f1713,plain,
    ( spl0_182
    | spl0_132
    | ~ spl0_58
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1707,f916,f514,f911,f1457]) ).

fof(f916,plain,
    ( spl0_133
  <=> c3_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1707,plain,
    ( c0_1(a2526)
    | c2_1(a2526)
    | ~ spl0_58
    | ~ spl0_133 ),
    inference(resolution,[],[f515,f918]) ).

fof(f918,plain,
    ( c3_1(a2526)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f1703,plain,
    ( spl0_153
    | spl0_154
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1693,f1033,f509,f1028,f1023]) ).

fof(f1023,plain,
    ( spl0_153
  <=> c3_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1028,plain,
    ( spl0_154
  <=> c0_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f509,plain,
    ( spl0_57
  <=> ! [X75] :
        ( ~ c1_1(X75)
        | c0_1(X75)
        | c3_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1033,plain,
    ( spl0_155
  <=> c1_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1693,plain,
    ( c0_1(a2518)
    | c3_1(a2518)
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(resolution,[],[f510,f1035]) ).

fof(f1035,plain,
    ( c1_1(a2518)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f510,plain,
    ( ! [X75] :
        ( ~ c1_1(X75)
        | c0_1(X75)
        | c3_1(X75) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1691,plain,
    ( ~ spl0_185
    | spl0_109
    | ~ spl0_39
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1688,f793,f420,f788,f1543]) ).

fof(f788,plain,
    ( spl0_109
  <=> c1_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1688,plain,
    ( c1_1(a2541)
    | ~ c0_1(a2541)
    | ~ spl0_39
    | ~ spl0_110 ),
    inference(resolution,[],[f421,f795]) ).

fof(f1677,plain,
    ( spl0_93
    | spl0_94
    | ~ spl0_56
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1667,f713,f505,f708,f703]) ).

fof(f708,plain,
    ( spl0_94
  <=> c1_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f505,plain,
    ( spl0_56
  <=> ! [X73] :
        ( ~ c2_1(X73)
        | c1_1(X73)
        | c3_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1667,plain,
    ( c1_1(a2552)
    | c3_1(a2552)
    | ~ spl0_56
    | ~ spl0_95 ),
    inference(resolution,[],[f506,f715]) ).

fof(f506,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | c1_1(X73)
        | c3_1(X73) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f1660,plain,
    ( spl0_93
    | spl0_176
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1648,f713,f501,f1257,f703]) ).

fof(f501,plain,
    ( spl0_55
  <=> ! [X71] :
        ( ~ c2_1(X71)
        | c0_1(X71)
        | c3_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1648,plain,
    ( c0_1(a2552)
    | c3_1(a2552)
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(resolution,[],[f502,f715]) ).

fof(f502,plain,
    ( ! [X71] :
        ( ~ c2_1(X71)
        | c0_1(X71)
        | c3_1(X71) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1614,plain,
    ( ~ spl0_113
    | spl0_111
    | ~ spl0_28
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1607,f1166,f371,f799,f809]) ).

fof(f1607,plain,
    ( c3_1(a2540)
    | ~ c0_1(a2540)
    | ~ spl0_28
    | ~ spl0_171 ),
    inference(resolution,[],[f372,f1167]) ).

fof(f1167,plain,
    ( c1_1(a2540)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f1575,plain,
    ( ~ spl0_88
    | ~ spl0_89
    | ~ spl0_22
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1573,f1084,f347,f681,f676]) ).

fof(f676,plain,
    ( spl0_88
  <=> c2_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f347,plain,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1573,plain,
    ( ~ c0_1(a2555)
    | ~ c2_1(a2555)
    | ~ spl0_22
    | ~ spl0_163 ),
    inference(resolution,[],[f348,f1086]) ).

fof(f348,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1565,plain,
    ( ~ spl0_97
    | ~ spl0_98
    | ~ spl0_36
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1564,f1097,f406,f729,f724]) ).

fof(f406,plain,
    ( spl0_36
  <=> ! [X15] :
        ( ~ c3_1(X15)
        | ~ c0_1(X15)
        | ~ c1_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1564,plain,
    ( ~ c0_1(a2551)
    | ~ c1_1(a2551)
    | ~ spl0_36
    | ~ spl0_165 ),
    inference(resolution,[],[f1099,f407]) ).

fof(f407,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | ~ c0_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f1099,plain,
    ( c3_1(a2551)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f1561,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_51
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1556,f916,f481,f911,f921]) ).

fof(f1556,plain,
    ( c0_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_51
    | ~ spl0_133 ),
    inference(resolution,[],[f482,f918]) ).

fof(f1541,plain,
    ( ~ spl0_184
    | spl0_130
    | ~ spl0_50
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1535,f905,f475,f900,f1514]) ).

fof(f1535,plain,
    ( c0_1(a2528)
    | ~ c2_1(a2528)
    | ~ spl0_50
    | ~ spl0_131 ),
    inference(resolution,[],[f476,f907]) ).

fof(f1540,plain,
    ( ~ spl0_182
    | spl0_132
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1534,f916,f475,f911,f1457]) ).

fof(f1534,plain,
    ( c0_1(a2526)
    | ~ c2_1(a2526)
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(resolution,[],[f476,f918]) ).

fof(f1539,plain,
    ( ~ spl0_149
    | spl0_174
    | ~ spl0_50
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1532,f996,f475,f1200,f1001]) ).

fof(f1001,plain,
    ( spl0_149
  <=> c2_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1532,plain,
    ( c0_1(a2521)
    | ~ c2_1(a2521)
    | ~ spl0_50
    | ~ spl0_148 ),
    inference(resolution,[],[f476,f998]) ).

fof(f1518,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1510,f793,f451,f788,f783]) ).

fof(f1510,plain,
    ( c1_1(a2541)
    | c2_1(a2541)
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(resolution,[],[f452,f795]) ).

fof(f1517,plain,
    ( spl0_184
    | spl0_129
    | ~ spl0_45
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1509,f905,f451,f895,f1514]) ).

fof(f895,plain,
    ( spl0_129
  <=> c1_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1509,plain,
    ( c1_1(a2528)
    | c2_1(a2528)
    | ~ spl0_45
    | ~ spl0_131 ),
    inference(resolution,[],[f452,f907]) ).

fof(f1505,plain,
    ( ~ spl0_182
    | ~ spl0_134
    | ~ spl0_20
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1499,f916,f339,f921,f1457]) ).

fof(f339,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1499,plain,
    ( ~ c1_1(a2526)
    | ~ c2_1(a2526)
    | ~ spl0_20
    | ~ spl0_133 ),
    inference(resolution,[],[f340,f918]) ).

fof(f340,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f1485,plain,
    ( ~ spl0_168
    | ~ spl0_83
    | ~ spl0_36
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1427,f644,f406,f649,f1132]) ).

fof(f1132,plain,
    ( spl0_168
  <=> c1_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f649,plain,
    ( spl0_83
  <=> c0_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f644,plain,
    ( spl0_82
  <=> c3_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1427,plain,
    ( ~ c0_1(a2601)
    | ~ c1_1(a2601)
    | ~ spl0_36
    | ~ spl0_82 ),
    inference(resolution,[],[f407,f646]) ).

fof(f646,plain,
    ( c3_1(a2601)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1478,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1431,f559,f406,f569,f564]) ).

fof(f564,plain,
    ( spl0_67
  <=> c1_1(a2597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f569,plain,
    ( spl0_68
  <=> c0_1(a2597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f559,plain,
    ( spl0_66
  <=> c3_1(a2597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1431,plain,
    ( ~ c0_1(a2597)
    | ~ c1_1(a2597)
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(resolution,[],[f407,f561]) ).

fof(f561,plain,
    ( c3_1(a2597)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f1476,plain,
    ( ~ spl0_155
    | spl0_153
    | ~ spl0_24
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1474,f1468,f355,f1023,f1033]) ).

fof(f1468,plain,
    ( spl0_183
  <=> c2_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1474,plain,
    ( c3_1(a2518)
    | ~ c1_1(a2518)
    | ~ spl0_24
    | ~ spl0_183 ),
    inference(resolution,[],[f1470,f356]) ).

fof(f1470,plain,
    ( c2_1(a2518)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f1471,plain,
    ( spl0_153
    | spl0_183
    | ~ spl0_47
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1464,f1033,f462,f1468,f1023]) ).

fof(f1464,plain,
    ( c2_1(a2518)
    | c3_1(a2518)
    | ~ spl0_47
    | ~ spl0_155 ),
    inference(resolution,[],[f1035,f463]) ).

fof(f1460,plain,
    ( ~ spl0_134
    | spl0_182
    | ~ spl0_31
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1454,f916,f383,f1457,f921]) ).

fof(f383,plain,
    ( spl0_31
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | c2_1(X8)
        | ~ c1_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1454,plain,
    ( c2_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_31
    | ~ spl0_133 ),
    inference(resolution,[],[f918,f384]) ).

fof(f384,plain,
    ( ! [X8] :
        ( ~ c3_1(X8)
        | c2_1(X8)
        | ~ c1_1(X8) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f1449,plain,
    ( ~ spl0_74
    | spl0_166
    | ~ spl0_51
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1442,f591,f481,f1106,f601]) ).

fof(f601,plain,
    ( spl0_74
  <=> c1_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1106,plain,
    ( spl0_166
  <=> c0_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f591,plain,
    ( spl0_72
  <=> c3_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1442,plain,
    ( c0_1(a2556)
    | ~ c1_1(a2556)
    | ~ spl0_51
    | ~ spl0_72 ),
    inference(resolution,[],[f482,f593]) ).

fof(f593,plain,
    ( c3_1(a2556)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f1379,plain,
    ( ~ spl0_181
    | spl0_156
    | ~ spl0_24
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1362,f1049,f355,f1039,f1376]) ).

fof(f1039,plain,
    ( spl0_156
  <=> c3_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1362,plain,
    ( c3_1(a2517)
    | ~ c1_1(a2517)
    | ~ spl0_24
    | ~ spl0_158 ),
    inference(resolution,[],[f356,f1051]) ).

fof(f1051,plain,
    ( c2_1(a2517)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1357,plain,
    ( ~ spl0_104
    | spl0_162
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1345,f756,f466,f1073,f761]) ).

fof(f1073,plain,
    ( spl0_162
  <=> c2_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f466,plain,
    ( spl0_48
  <=> ! [X47] :
        ( ~ c3_1(X47)
        | c2_1(X47)
        | ~ c0_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1345,plain,
    ( c2_1(a2548)
    | ~ c0_1(a2548)
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(resolution,[],[f467,f758]) ).

fof(f467,plain,
    ( ! [X47] :
        ( ~ c3_1(X47)
        | c2_1(X47)
        | ~ c0_1(X47) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f1355,plain,
    ( ~ spl0_180
    | spl0_138
    | ~ spl0_48
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1341,f948,f466,f943,f1352]) ).

fof(f1341,plain,
    ( c2_1(a2524)
    | ~ c0_1(a2524)
    | ~ spl0_48
    | ~ spl0_139 ),
    inference(resolution,[],[f467,f950]) ).

fof(f1331,plain,
    ( ~ spl0_97
    | spl0_96
    | ~ spl0_31
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1329,f1097,f383,f719,f724]) ).

fof(f719,plain,
    ( spl0_96
  <=> c2_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1329,plain,
    ( c2_1(a2551)
    | ~ c1_1(a2551)
    | ~ spl0_31
    | ~ spl0_165 ),
    inference(resolution,[],[f1099,f384]) ).

fof(f1323,plain,
    ( spl0_78
    | spl0_79
    | ~ spl0_47
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1312,f633,f462,f628,f623]) ).

fof(f623,plain,
    ( spl0_78
  <=> c3_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f628,plain,
    ( spl0_79
  <=> c2_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f633,plain,
    ( spl0_80
  <=> c1_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1312,plain,
    ( c2_1(a2614)
    | c3_1(a2614)
    | ~ spl0_47
    | ~ spl0_80 ),
    inference(resolution,[],[f463,f635]) ).

fof(f635,plain,
    ( c1_1(a2614)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f1322,plain,
    ( spl0_165
    | spl0_96
    | ~ spl0_47
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1311,f724,f462,f719,f1097]) ).

fof(f1311,plain,
    ( c2_1(a2551)
    | c3_1(a2551)
    | ~ spl0_47
    | ~ spl0_97 ),
    inference(resolution,[],[f463,f726]) ).

fof(f1308,plain,
    ( spl0_81
    | spl0_168
    | ~ spl0_46
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1304,f649,f457,f1132,f639]) ).

fof(f639,plain,
    ( spl0_81
  <=> c2_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f457,plain,
    ( spl0_46
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1304,plain,
    ( c1_1(a2601)
    | c2_1(a2601)
    | ~ spl0_46
    | ~ spl0_83 ),
    inference(resolution,[],[f458,f651]) ).

fof(f651,plain,
    ( c0_1(a2601)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f458,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f1307,plain,
    ( spl0_84
    | spl0_85
    | ~ spl0_46
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1303,f665,f457,f660,f655]) ).

fof(f655,plain,
    ( spl0_84
  <=> c2_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1303,plain,
    ( c1_1(a2564)
    | c2_1(a2564)
    | ~ spl0_46
    | ~ spl0_86 ),
    inference(resolution,[],[f458,f667]) ).

fof(f667,plain,
    ( c0_1(a2564)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f1306,plain,
    ( spl0_162
    | spl0_102
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1300,f761,f457,f751,f1073]) ).

fof(f1300,plain,
    ( c1_1(a2548)
    | c2_1(a2548)
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(resolution,[],[f458,f763]) ).

fof(f763,plain,
    ( c0_1(a2548)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f1305,plain,
    ( spl0_112
    | spl0_171
    | ~ spl0_46
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1299,f809,f457,f1166,f804]) ).

fof(f1299,plain,
    ( c1_1(a2540)
    | c2_1(a2540)
    | ~ spl0_46
    | ~ spl0_113 ),
    inference(resolution,[],[f458,f811]) ).

fof(f1295,plain,
    ( spl0_84
    | spl0_85
    | ~ spl0_45
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1288,f1265,f451,f660,f655]) ).

fof(f1288,plain,
    ( c1_1(a2564)
    | c2_1(a2564)
    | ~ spl0_45
    | ~ spl0_177 ),
    inference(resolution,[],[f452,f1267]) ).

fof(f1294,plain,
    ( spl0_162
    | spl0_102
    | ~ spl0_45
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1287,f756,f451,f751,f1073]) ).

fof(f1287,plain,
    ( c1_1(a2548)
    | c2_1(a2548)
    | ~ spl0_45
    | ~ spl0_103 ),
    inference(resolution,[],[f452,f758]) ).

fof(f1281,plain,
    ( spl0_90
    | spl0_91
    | ~ spl0_43
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1275,f697,f440,f692,f687]) ).

fof(f692,plain,
    ( spl0_91
  <=> c1_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1275,plain,
    ( c1_1(a2553)
    | c3_1(a2553)
    | ~ spl0_43
    | ~ spl0_92 ),
    inference(resolution,[],[f441,f699]) ).

fof(f699,plain,
    ( c0_1(a2553)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f1280,plain,
    ( spl0_135
    | spl0_175
    | ~ spl0_43
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1272,f937,f440,f1223,f927]) ).

fof(f1272,plain,
    ( c1_1(a2525)
    | c3_1(a2525)
    | ~ spl0_43
    | ~ spl0_137 ),
    inference(resolution,[],[f441,f939]) ).

fof(f939,plain,
    ( c0_1(a2525)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f1268,plain,
    ( spl0_177
    | spl0_84
    | ~ spl0_34
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1263,f665,f397,f655,f1265]) ).

fof(f1263,plain,
    ( c2_1(a2564)
    | c3_1(a2564)
    | ~ spl0_34
    | ~ spl0_86 ),
    inference(resolution,[],[f667,f398]) ).

fof(f1262,plain,
    ( ~ spl0_89
    | spl0_87
    | ~ spl0_42
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1250,f676,f435,f671,f681]) ).

fof(f435,plain,
    ( spl0_42
  <=> ! [X29] :
        ( ~ c2_1(X29)
        | c1_1(X29)
        | ~ c0_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1250,plain,
    ( c1_1(a2555)
    | ~ c0_1(a2555)
    | ~ spl0_42
    | ~ spl0_88 ),
    inference(resolution,[],[f436,f678]) ).

fof(f678,plain,
    ( c2_1(a2555)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f436,plain,
    ( ! [X29] :
        ( ~ c2_1(X29)
        | c1_1(X29)
        | ~ c0_1(X29) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1261,plain,
    ( ~ spl0_92
    | spl0_91
    | ~ spl0_42
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1249,f1159,f435,f692,f697]) ).

fof(f1249,plain,
    ( c1_1(a2553)
    | ~ c0_1(a2553)
    | ~ spl0_42
    | ~ spl0_170 ),
    inference(resolution,[],[f436,f1161]) ).

fof(f1260,plain,
    ( ~ spl0_176
    | spl0_94
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1248,f713,f435,f708,f1257]) ).

fof(f1248,plain,
    ( c1_1(a2552)
    | ~ c0_1(a2552)
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(resolution,[],[f436,f715]) ).

fof(f1229,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1228,f575,f351,f585,f580]) ).

fof(f580,plain,
    ( spl0_70
  <=> c1_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f585,plain,
    ( spl0_71
  <=> c0_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f575,plain,
    ( spl0_69
  <=> c2_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1228,plain,
    ( ~ c0_1(a2558)
    | ~ c1_1(a2558)
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(resolution,[],[f577,f352]) ).

fof(f577,plain,
    ( c2_1(a2558)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1221,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_23
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1210,f1172,f351,f969,f964]) ).

fof(f1210,plain,
    ( ~ c0_1(a2523)
    | ~ c1_1(a2523)
    | ~ spl0_23
    | ~ spl0_172 ),
    inference(resolution,[],[f352,f1174]) ).

fof(f1206,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1204,f948,f383,f943,f953]) ).

fof(f1204,plain,
    ( c2_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(resolution,[],[f950,f384]) ).

fof(f1203,plain,
    ( ~ spl0_149
    | ~ spl0_174
    | ~ spl0_22
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1197,f996,f347,f1200,f1001]) ).

fof(f1197,plain,
    ( ~ c0_1(a2521)
    | ~ c2_1(a2521)
    | ~ spl0_22
    | ~ spl0_148 ),
    inference(resolution,[],[f998,f348]) ).

fof(f1198,plain,
    ( ~ spl0_149
    | spl0_147
    | ~ spl0_37
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1195,f996,f411,f991,f1001]) ).

fof(f411,plain,
    ( spl0_37
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1195,plain,
    ( c1_1(a2521)
    | ~ c2_1(a2521)
    | ~ spl0_37
    | ~ spl0_148 ),
    inference(resolution,[],[f998,f412]) ).

fof(f412,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f1194,plain,
    ( ~ spl0_83
    | spl0_168
    | ~ spl0_39
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1190,f644,f420,f1132,f649]) ).

fof(f1190,plain,
    ( c1_1(a2601)
    | ~ c0_1(a2601)
    | ~ spl0_39
    | ~ spl0_82 ),
    inference(resolution,[],[f421,f646]) ).

fof(f1175,plain,
    ( ~ spl0_143
    | spl0_172
    | ~ spl0_32
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1170,f964,f388,f1172,f969]) ).

fof(f1170,plain,
    ( c2_1(a2523)
    | ~ c0_1(a2523)
    | ~ spl0_32
    | ~ spl0_142 ),
    inference(resolution,[],[f966,f389]) ).

fof(f1162,plain,
    ( spl0_90
    | spl0_170
    | ~ spl0_34
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1152,f697,f397,f1159,f687]) ).

fof(f1152,plain,
    ( c2_1(a2553)
    | c3_1(a2553)
    | ~ spl0_34
    | ~ spl0_92 ),
    inference(resolution,[],[f398,f699]) ).

fof(f1147,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1146,f607,f347,f617,f612]) ).

fof(f612,plain,
    ( spl0_76
  <=> c2_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f617,plain,
    ( spl0_77
  <=> c0_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f607,plain,
    ( spl0_75
  <=> c3_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1146,plain,
    ( ~ c0_1(a2529)
    | ~ c2_1(a2529)
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(resolution,[],[f609,f348]) ).

fof(f609,plain,
    ( c3_1(a2529)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f1135,plain,
    ( ~ spl0_168
    | spl0_81
    | ~ spl0_31
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1129,f644,f383,f639,f1132]) ).

fof(f1129,plain,
    ( c2_1(a2601)
    | ~ c1_1(a2601)
    | ~ spl0_31
    | ~ spl0_82 ),
    inference(resolution,[],[f646,f384]) ).

fof(f1126,plain,
    ( ~ spl0_98
    | spl0_96
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1122,f724,f388,f719,f729]) ).

fof(f1122,plain,
    ( c2_1(a2551)
    | ~ c0_1(a2551)
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(resolution,[],[f389,f726]) ).

fof(f1109,plain,
    ( ~ spl0_74
    | ~ spl0_166
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1104,f596,f351,f1106,f601]) ).

fof(f596,plain,
    ( spl0_73
  <=> c2_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1104,plain,
    ( ~ c0_1(a2556)
    | ~ c1_1(a2556)
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(resolution,[],[f598,f352]) ).

fof(f598,plain,
    ( c2_1(a2556)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1102,plain,
    ( ~ spl0_73
    | ~ spl0_74
    | ~ spl0_20
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1101,f591,f339,f601,f596]) ).

fof(f1101,plain,
    ( ~ c1_1(a2556)
    | ~ c2_1(a2556)
    | ~ spl0_20
    | ~ spl0_72 ),
    inference(resolution,[],[f593,f340]) ).

fof(f1087,plain,
    ( ~ spl0_89
    | spl0_163
    | ~ spl0_26
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1081,f676,f363,f1084,f681]) ).

fof(f1081,plain,
    ( c3_1(a2555)
    | ~ c0_1(a2555)
    | ~ spl0_26
    | ~ spl0_88 ),
    inference(resolution,[],[f364,f678]) ).

fof(f1076,plain,
    ( ~ spl0_162
    | ~ spl0_104
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1071,f756,f347,f761,f1073]) ).

fof(f1071,plain,
    ( ~ c0_1(a2548)
    | ~ c2_1(a2548)
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(resolution,[],[f348,f758]) ).

fof(f1069,plain,
    ( ~ spl0_9
    | spl0_19 ),
    inference(avatar_split_clause,[],[f7,f335,f290]) ).

fof(f290,plain,
    ( spl0_9
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f335,plain,
    ( spl0_19
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp28
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp25
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp30
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp9
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp5
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c1_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp18
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp20
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp29
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c1_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp23
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X45] :
          ( ~ c1_1(X45)
          | c3_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp4
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c0_1(X65)
          | c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X68] :
          ( ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp13
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c1_1(X88)
          | c3_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X90] :
          ( ~ c1_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X92] :
          ( ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X94] :
          ( ~ c3_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X97] :
          ( ~ c0_1(X97)
          | c3_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c2_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | ~ c0_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X107] :
          ( ~ c2_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c0_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c2_1(X114)
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c1_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X119] :
          ( ~ c3_1(X119)
          | ~ c2_1(X119)
          | c1_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp28
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp25
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp30
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp9
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp5
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c1_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp18
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp20
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp29
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c1_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp23
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X45] :
          ( ~ c1_1(X45)
          | c3_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp4
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c0_1(X65)
          | c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X68] :
          ( ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp13
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c1_1(X88)
          | c3_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X90] :
          ( ~ c1_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X92] :
          ( ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X94] :
          ( ~ c3_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X97] :
          ( ~ c0_1(X97)
          | c3_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c2_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | ~ c0_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X107] :
          ( ~ c2_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c0_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c2_1(X114)
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c1_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X119] :
          ( ~ c3_1(X119)
          | ~ c2_1(X119)
          | c1_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp20
      | hskp6
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp3
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp1
      | hskp28
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp20
      | hskp25
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp10
      | hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp18
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c1_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp6
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp25
      | hskp24
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp9
      | hskp30
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp4
      | hskp9
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp16
      | hskp19
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp10
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp21
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c0_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp7
      | hskp8
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp24
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp22
      | hskp5
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp28
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c1_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp4
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c1_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp21
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp0
      | hskp18
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp3
      | hskp25
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp14
      | hskp20
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp2
      | hskp29
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp22
      | hskp30
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp2
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp29
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c1_1(X36)
            | c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp24
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp1
      | hskp23
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp22
      | hskp21
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp7
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | c3_1(X45)
            | c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp20
      | hskp19
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp14
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( hskp10
      | hskp18
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp14
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp0
      | hskp15
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp17
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp16
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c0_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp15
      | hskp4
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c3_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp13
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp14
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c0_1(X70)
            | c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp4
      | hskp13
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp12
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c0_1(X76)
            | c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp0
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c0_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp11
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp3
      | hskp28
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp10
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp1
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c3_1(X88)
            | c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp9
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp8
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c2_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp7
      | hskp6
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp5
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | ~ c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp4
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | c3_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp0
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c0_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c0_1(X101)
            | c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c0_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp3
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | ~ c1_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c0_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp2
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c0_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | ~ c1_1(X114)
            | ~ c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | c3_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( hskp1
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp0
      | ! [X119] :
          ( ndr1_0
         => ( ~ c3_1(X119)
            | ~ c2_1(X119)
            | c1_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp3
          | hskp27
          | hskp2 )
        & ( hskp12
          | hskp13
          | hskp7 )
        & ( hskp27
          | hskp23 )
        & ( hskp0
          | hskp24 )
        & ( hskp16
          | hskp19
          | hskp6 )
        & ( hskp20
          | hskp2
          | hskp21 )
        & ( hskp1
          | hskp18
          | hskp21 )
        & ( hskp26
          | hskp21
          | hskp30 )
        & ( hskp23
          | hskp31
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp20
          | hskp6
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp3
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp1
          | hskp28
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp20
          | hskp25
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp10
          | hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp18
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp6
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp25
          | hskp24
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp9
          | hskp30
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp4
          | hskp9
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp16
          | hskp19
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp10
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp21
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp7
          | hskp8
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp24
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp22
          | hskp5
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp28
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp4
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c1_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp21
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp0
          | hskp18
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp3
          | hskp25
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp14
          | hskp20
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp2
          | hskp29
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp22
          | hskp30
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp2
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp29
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp24
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp1
          | hskp23
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp22
          | hskp21
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp7
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp20
          | hskp19
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp14
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp10
          | hskp18
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp0
          | hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp17
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp16
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp15
          | hskp4
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp13
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp14
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp4
          | hskp13
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp12
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp0
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp11
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp3
          | hskp28
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp10
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp9
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp8
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp7
          | hskp6
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp5
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp4
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp0
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp3
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp2
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c0_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | c3_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( hskp1
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp0
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | c1_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( ( c3_1(a2597)
            & c1_1(a2597)
            & c0_1(a2597)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a2558)
            & c1_1(a2558)
            & c0_1(a2558)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2556)
            & c2_1(a2556)
            & c1_1(a2556)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2529)
            & c2_1(a2529)
            & c0_1(a2529)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a2614)
            & ~ c2_1(a2614)
            & c1_1(a2614)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2601)
            & c3_1(a2601)
            & c0_1(a2601)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2564)
            & ~ c1_1(a2564)
            & c0_1(a2564)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2555)
            & c2_1(a2555)
            & c0_1(a2555)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a2553)
            & ~ c1_1(a2553)
            & c0_1(a2553)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2552)
            & ~ c1_1(a2552)
            & c2_1(a2552)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2551)
            & c1_1(a2551)
            & c0_1(a2551)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2549)
            & ~ c0_1(a2549)
            & c2_1(a2549)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a2548)
            & c3_1(a2548)
            & c0_1(a2548)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a2545)
            & c2_1(a2545)
            & c1_1(a2545)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a2541)
            & ~ c1_1(a2541)
            & c3_1(a2541)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2540)
            & ~ c2_1(a2540)
            & c0_1(a2540)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2539)
            & ~ c0_1(a2539)
            & c3_1(a2539)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a2536)
            & ~ c1_1(a2536)
            & ~ c0_1(a2536)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a2534)
            & ~ c0_1(a2534)
            & c1_1(a2534)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2533)
            & ~ c2_1(a2533)
            & ~ c1_1(a2533)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2531)
            & c2_1(a2531)
            & c1_1(a2531)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2528)
            & ~ c0_1(a2528)
            & c3_1(a2528)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a2526)
            & c3_1(a2526)
            & c1_1(a2526)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2525)
            & c2_1(a2525)
            & c0_1(a2525)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2524)
            & c3_1(a2524)
            & c1_1(a2524)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2523)
            & c1_1(a2523)
            & c0_1(a2523)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2522)
            & c3_1(a2522)
            & c2_1(a2522)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a2521)
            & c3_1(a2521)
            & c2_1(a2521)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2519)
            & ~ c2_1(a2519)
            & ~ c0_1(a2519)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2518)
            & ~ c0_1(a2518)
            & c1_1(a2518)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2517)
            & ~ c0_1(a2517)
            & c2_1(a2517)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2516)
            & ~ c1_1(a2516)
            & ~ c0_1(a2516)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp3
          | hskp27
          | hskp2 )
        & ( hskp12
          | hskp13
          | hskp7 )
        & ( hskp27
          | hskp23 )
        & ( hskp0
          | hskp24 )
        & ( hskp16
          | hskp19
          | hskp6 )
        & ( hskp20
          | hskp2
          | hskp21 )
        & ( hskp1
          | hskp18
          | hskp21 )
        & ( hskp26
          | hskp21
          | hskp30 )
        & ( hskp23
          | hskp31
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c2_1(X120)
                | ~ c1_1(X120) ) ) )
        & ( hskp20
          | hskp6
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( hskp3
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c2_1(X118)
                | ~ c0_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp1
          | hskp28
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp20
          | hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp10
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp18
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp6
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp25
          | hskp24
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp9
          | hskp30
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp4
          | hskp9
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp16
          | hskp19
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp10
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp21
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp7
          | hskp8
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp24
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp22
          | hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp28
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp4
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp21
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp0
          | hskp18
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp3
          | hskp25
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp14
          | hskp20
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp2
          | hskp29
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp22
          | hskp30
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp29
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp24
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp23
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp22
          | hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp7
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp20
          | hskp19
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp14
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp10
          | hskp18
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp14
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp0
          | hskp15
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp17
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp16
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp15
          | hskp4
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c0_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp4
          | hskp13
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp12
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp0
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c0_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp3
          | hskp28
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp10
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c3_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp1
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c3_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp9
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp8
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp7
          | hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp5
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c1_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp4
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp0
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2597)
            & c1_1(a2597)
            & c0_1(a2597)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a2558)
            & c1_1(a2558)
            & c0_1(a2558)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2556)
            & c2_1(a2556)
            & c1_1(a2556)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2529)
            & c2_1(a2529)
            & c0_1(a2529)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a2614)
            & ~ c2_1(a2614)
            & c1_1(a2614)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2601)
            & c3_1(a2601)
            & c0_1(a2601)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2564)
            & ~ c1_1(a2564)
            & c0_1(a2564)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2555)
            & c2_1(a2555)
            & c0_1(a2555)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a2553)
            & ~ c1_1(a2553)
            & c0_1(a2553)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2552)
            & ~ c1_1(a2552)
            & c2_1(a2552)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2551)
            & c1_1(a2551)
            & c0_1(a2551)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2549)
            & ~ c0_1(a2549)
            & c2_1(a2549)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a2548)
            & c3_1(a2548)
            & c0_1(a2548)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a2545)
            & c2_1(a2545)
            & c1_1(a2545)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a2541)
            & ~ c1_1(a2541)
            & c3_1(a2541)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2540)
            & ~ c2_1(a2540)
            & c0_1(a2540)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2539)
            & ~ c0_1(a2539)
            & c3_1(a2539)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a2536)
            & ~ c1_1(a2536)
            & ~ c0_1(a2536)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a2534)
            & ~ c0_1(a2534)
            & c1_1(a2534)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2533)
            & ~ c2_1(a2533)
            & ~ c1_1(a2533)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2531)
            & c2_1(a2531)
            & c1_1(a2531)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2528)
            & ~ c0_1(a2528)
            & c3_1(a2528)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a2526)
            & c3_1(a2526)
            & c1_1(a2526)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2525)
            & c2_1(a2525)
            & c0_1(a2525)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2524)
            & c3_1(a2524)
            & c1_1(a2524)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2523)
            & c1_1(a2523)
            & c0_1(a2523)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2522)
            & c3_1(a2522)
            & c2_1(a2522)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a2521)
            & c3_1(a2521)
            & c2_1(a2521)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2519)
            & ~ c2_1(a2519)
            & ~ c0_1(a2519)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2518)
            & ~ c0_1(a2518)
            & c1_1(a2518)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2517)
            & ~ c0_1(a2517)
            & c2_1(a2517)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2516)
            & ~ c1_1(a2516)
            & ~ c0_1(a2516)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp3
        | hskp27
        | hskp2 )
      & ( hskp12
        | hskp13
        | hskp7 )
      & ( hskp27
        | hskp23 )
      & ( hskp0
        | hskp24 )
      & ( hskp16
        | hskp19
        | hskp6 )
      & ( hskp20
        | hskp2
        | hskp21 )
      & ( hskp1
        | hskp18
        | hskp21 )
      & ( hskp26
        | hskp21
        | hskp30 )
      & ( hskp23
        | hskp31
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c2_1(X120)
              | ~ c1_1(X120) ) ) )
      & ( hskp20
        | hskp6
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( hskp3
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c2_1(X118)
              | ~ c0_1(X118) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp1
        | hskp28
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp20
        | hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp10
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp18
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp6
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c2_1(X111)
              | ~ c0_1(X111) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp25
        | hskp24
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp9
        | hskp30
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp4
        | hskp9
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp16
        | hskp19
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp10
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp21
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | c3_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp7
        | hskp8
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp24
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp22
        | hskp5
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp28
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp4
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp21
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp0
        | hskp18
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp3
        | hskp25
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp14
        | hskp20
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp2
        | hskp29
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp22
        | hskp30
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp2
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp29
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp24
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp23
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp22
        | hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp7
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp20
        | hskp19
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp14
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp10
        | hskp18
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp14
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp0
        | hskp15
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp17
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp16
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp15
        | hskp4
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | ~ c0_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c0_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp4
        | hskp13
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp12
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp0
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c0_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp3
        | hskp28
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp10
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c3_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp1
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c3_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp9
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp8
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp7
        | hskp6
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp5
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | ~ c1_1(X25)
              | ~ c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp4
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp0
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c0_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c0_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | c3_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp3
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | ~ c0_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | ~ c0_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c1_1(X6)
              | ~ c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2597)
          & c1_1(a2597)
          & c0_1(a2597)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c2_1(a2558)
          & c1_1(a2558)
          & c0_1(a2558)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2556)
          & c2_1(a2556)
          & c1_1(a2556)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a2529)
          & c2_1(a2529)
          & c0_1(a2529)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a2614)
          & ~ c2_1(a2614)
          & c1_1(a2614)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a2601)
          & c3_1(a2601)
          & c0_1(a2601)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2564)
          & ~ c1_1(a2564)
          & c0_1(a2564)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a2555)
          & c2_1(a2555)
          & c0_1(a2555)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a2553)
          & ~ c1_1(a2553)
          & c0_1(a2553)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a2552)
          & ~ c1_1(a2552)
          & c2_1(a2552)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a2551)
          & c1_1(a2551)
          & c0_1(a2551)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a2549)
          & ~ c0_1(a2549)
          & c2_1(a2549)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a2548)
          & c3_1(a2548)
          & c0_1(a2548)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a2545)
          & c2_1(a2545)
          & c1_1(a2545)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a2541)
          & ~ c1_1(a2541)
          & c3_1(a2541)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2540)
          & ~ c2_1(a2540)
          & c0_1(a2540)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2539)
          & ~ c0_1(a2539)
          & c3_1(a2539)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a2536)
          & ~ c1_1(a2536)
          & ~ c0_1(a2536)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a2534)
          & ~ c0_1(a2534)
          & c1_1(a2534)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2533)
          & ~ c2_1(a2533)
          & ~ c1_1(a2533)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a2531)
          & c2_1(a2531)
          & c1_1(a2531)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a2528)
          & ~ c0_1(a2528)
          & c3_1(a2528)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a2526)
          & c3_1(a2526)
          & c1_1(a2526)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a2525)
          & c2_1(a2525)
          & c0_1(a2525)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a2524)
          & c3_1(a2524)
          & c1_1(a2524)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2523)
          & c1_1(a2523)
          & c0_1(a2523)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a2522)
          & c3_1(a2522)
          & c2_1(a2522)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a2521)
          & c3_1(a2521)
          & c2_1(a2521)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2519)
          & ~ c2_1(a2519)
          & ~ c0_1(a2519)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2518)
          & ~ c0_1(a2518)
          & c1_1(a2518)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2517)
          & ~ c0_1(a2517)
          & c2_1(a2517)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a2516)
          & ~ c1_1(a2516)
          & ~ c0_1(a2516)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Tz5R6OlrK3/Vampire---4.8_25029',co1) ).

fof(f1068,plain,
    ( ~ spl0_9
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f8,f1065,f290]) ).

fof(f8,plain,
    ( ~ c0_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1063,plain,
    ( ~ spl0_9
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f9,f1060,f290]) ).

fof(f9,plain,
    ( ~ c1_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1058,plain,
    ( ~ spl0_9
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f10,f1055,f290]) ).

fof(f10,plain,
    ( ~ c2_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1052,plain,
    ( ~ spl0_16
    | spl0_158 ),
    inference(avatar_split_clause,[],[f12,f1049,f321]) ).

fof(f321,plain,
    ( spl0_16
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f12,plain,
    ( c2_1(a2517)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1047,plain,
    ( ~ spl0_16
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f13,f1044,f321]) ).

fof(f13,plain,
    ( ~ c0_1(a2517)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1042,plain,
    ( ~ spl0_16
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f14,f1039,f321]) ).

fof(f14,plain,
    ( ~ c3_1(a2517)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1036,plain,
    ( ~ spl0_1
    | spl0_155 ),
    inference(avatar_split_clause,[],[f16,f1033,f255]) ).

fof(f255,plain,
    ( spl0_1
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f16,plain,
    ( c1_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1031,plain,
    ( ~ spl0_1
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f17,f1028,f255]) ).

fof(f17,plain,
    ( ~ c0_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1026,plain,
    ( ~ spl0_1
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f18,f1023,f255]) ).

fof(f18,plain,
    ( ~ c3_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1020,plain,
    ( ~ spl0_3
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f20,f1017,f263]) ).

fof(f263,plain,
    ( spl0_3
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f20,plain,
    ( ~ c0_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1015,plain,
    ( ~ spl0_3
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f21,f1012,f263]) ).

fof(f21,plain,
    ( ~ c2_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1010,plain,
    ( ~ spl0_3
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f22,f1007,f263]) ).

fof(f22,plain,
    ( ~ c3_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1004,plain,
    ( ~ spl0_35
    | spl0_149 ),
    inference(avatar_split_clause,[],[f24,f1001,f400]) ).

fof(f400,plain,
    ( spl0_35
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f24,plain,
    ( c2_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f999,plain,
    ( ~ spl0_35
    | spl0_148 ),
    inference(avatar_split_clause,[],[f25,f996,f400]) ).

fof(f25,plain,
    ( c3_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f994,plain,
    ( ~ spl0_35
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f26,f991,f400]) ).

fof(f26,plain,
    ( ~ c1_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f972,plain,
    ( ~ spl0_10
    | spl0_143 ),
    inference(avatar_split_clause,[],[f32,f969,f295]) ).

fof(f295,plain,
    ( spl0_10
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f32,plain,
    ( c0_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f967,plain,
    ( ~ spl0_10
    | spl0_142 ),
    inference(avatar_split_clause,[],[f33,f964,f295]) ).

fof(f33,plain,
    ( c1_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f962,plain,
    ( ~ spl0_10
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f34,f959,f295]) ).

fof(f34,plain,
    ( ~ c3_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f956,plain,
    ( ~ spl0_4
    | spl0_140 ),
    inference(avatar_split_clause,[],[f36,f953,f268]) ).

fof(f268,plain,
    ( spl0_4
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f36,plain,
    ( c1_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f951,plain,
    ( ~ spl0_4
    | spl0_139 ),
    inference(avatar_split_clause,[],[f37,f948,f268]) ).

fof(f37,plain,
    ( c3_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f946,plain,
    ( ~ spl0_4
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f38,f943,f268]) ).

fof(f38,plain,
    ( ~ c2_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f940,plain,
    ( ~ spl0_38
    | spl0_137 ),
    inference(avatar_split_clause,[],[f40,f937,f414]) ).

fof(f414,plain,
    ( spl0_38
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f40,plain,
    ( c0_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( ~ spl0_38
    | spl0_136 ),
    inference(avatar_split_clause,[],[f41,f932,f414]) ).

fof(f41,plain,
    ( c2_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f930,plain,
    ( ~ spl0_38
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f42,f927,f414]) ).

fof(f42,plain,
    ( ~ c3_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f924,plain,
    ( ~ spl0_33
    | spl0_134 ),
    inference(avatar_split_clause,[],[f44,f921,f392]) ).

fof(f392,plain,
    ( spl0_33
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f44,plain,
    ( c1_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( ~ spl0_33
    | spl0_133 ),
    inference(avatar_split_clause,[],[f45,f916,f392]) ).

fof(f45,plain,
    ( c3_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( ~ spl0_33
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f46,f911,f392]) ).

fof(f46,plain,
    ( ~ c0_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( ~ spl0_30
    | spl0_131 ),
    inference(avatar_split_clause,[],[f48,f905,f378]) ).

fof(f378,plain,
    ( spl0_30
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f48,plain,
    ( c3_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_30
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f49,f900,f378]) ).

fof(f49,plain,
    ( ~ c0_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_30
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f50,f895,f378]) ).

fof(f50,plain,
    ( ~ c1_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f892,plain,
    ( ~ spl0_59
    | spl0_128 ),
    inference(avatar_split_clause,[],[f52,f889,f519]) ).

fof(f519,plain,
    ( spl0_59
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f52,plain,
    ( c1_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f887,plain,
    ( ~ spl0_59
    | spl0_127 ),
    inference(avatar_split_clause,[],[f53,f884,f519]) ).

fof(f53,plain,
    ( c2_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_59
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f54,f879,f519]) ).

fof(f54,plain,
    ( ~ c3_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f876,plain,
    ( ~ spl0_6
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f56,f873,f276]) ).

fof(f276,plain,
    ( spl0_6
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f56,plain,
    ( ~ c1_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f871,plain,
    ( ~ spl0_6
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f57,f868,f276]) ).

fof(f57,plain,
    ( ~ c2_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_6
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f58,f863,f276]) ).

fof(f58,plain,
    ( ~ c3_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f844,plain,
    ( ~ spl0_44
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f64,f841,f443]) ).

fof(f443,plain,
    ( spl0_44
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f64,plain,
    ( ~ c0_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f839,plain,
    ( ~ spl0_44
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f65,f836,f443]) ).

fof(f65,plain,
    ( ~ c1_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( ~ spl0_44
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f66,f831,f443]) ).

fof(f66,plain,
    ( ~ c3_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f812,plain,
    ( ~ spl0_12
    | spl0_113 ),
    inference(avatar_split_clause,[],[f72,f809,f303]) ).

fof(f303,plain,
    ( spl0_12
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f72,plain,
    ( c0_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f807,plain,
    ( ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f73,f804,f303]) ).

fof(f73,plain,
    ( ~ c2_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_12
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f74,f799,f303]) ).

fof(f74,plain,
    ( ~ c3_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( ~ spl0_53
    | spl0_110 ),
    inference(avatar_split_clause,[],[f76,f793,f489]) ).

fof(f489,plain,
    ( spl0_53
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f76,plain,
    ( c3_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f791,plain,
    ( ~ spl0_53
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f77,f788,f489]) ).

fof(f77,plain,
    ( ~ c1_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f786,plain,
    ( ~ spl0_53
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f78,f783,f489]) ).

fof(f78,plain,
    ( ~ c2_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f780,plain,
    ( ~ spl0_15
    | spl0_107 ),
    inference(avatar_split_clause,[],[f80,f777,f317]) ).

fof(f317,plain,
    ( spl0_15
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f80,plain,
    ( c1_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_15
    | spl0_106 ),
    inference(avatar_split_clause,[],[f81,f772,f317]) ).

fof(f81,plain,
    ( c2_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( ~ spl0_15
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f82,f767,f317]) ).

fof(f82,plain,
    ( ~ c0_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f764,plain,
    ( ~ spl0_11
    | spl0_104 ),
    inference(avatar_split_clause,[],[f84,f761,f299]) ).

fof(f299,plain,
    ( spl0_11
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f84,plain,
    ( c0_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f759,plain,
    ( ~ spl0_11
    | spl0_103 ),
    inference(avatar_split_clause,[],[f85,f756,f299]) ).

fof(f85,plain,
    ( c3_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_11
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f751,f299]) ).

fof(f86,plain,
    ( ~ c1_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( ~ spl0_14
    | spl0_101 ),
    inference(avatar_split_clause,[],[f88,f745,f312]) ).

fof(f312,plain,
    ( spl0_14
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f88,plain,
    ( c2_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f743,plain,
    ( ~ spl0_14
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f89,f740,f312]) ).

fof(f89,plain,
    ( ~ c0_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( ~ spl0_14
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f90,f735,f312]) ).

fof(f90,plain,
    ( ~ c1_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( ~ spl0_13
    | spl0_98 ),
    inference(avatar_split_clause,[],[f92,f729,f308]) ).

fof(f308,plain,
    ( spl0_13
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f92,plain,
    ( c0_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl0_13
    | spl0_97 ),
    inference(avatar_split_clause,[],[f93,f724,f308]) ).

fof(f93,plain,
    ( c1_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_13
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f94,f719,f308]) ).

fof(f94,plain,
    ( ~ c2_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f716,plain,
    ( ~ spl0_41
    | spl0_95 ),
    inference(avatar_split_clause,[],[f96,f713,f427]) ).

fof(f427,plain,
    ( spl0_41
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f96,plain,
    ( c2_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( ~ spl0_41
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f97,f708,f427]) ).

fof(f97,plain,
    ( ~ c1_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f706,plain,
    ( ~ spl0_41
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f98,f703,f427]) ).

fof(f98,plain,
    ( ~ c3_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( ~ spl0_7
    | spl0_92 ),
    inference(avatar_split_clause,[],[f100,f697,f281]) ).

fof(f281,plain,
    ( spl0_7
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f100,plain,
    ( c0_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f695,plain,
    ( ~ spl0_7
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f101,f692,f281]) ).

fof(f101,plain,
    ( ~ c1_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_7
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f687,f281]) ).

fof(f102,plain,
    ( ~ c3_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f103,f335,f286]) ).

fof(f286,plain,
    ( spl0_8
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f103,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f684,plain,
    ( ~ spl0_8
    | spl0_89 ),
    inference(avatar_split_clause,[],[f104,f681,f286]) ).

fof(f104,plain,
    ( c0_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f679,plain,
    ( ~ spl0_8
    | spl0_88 ),
    inference(avatar_split_clause,[],[f105,f676,f286]) ).

fof(f105,plain,
    ( c2_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl0_8
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f671,f286]) ).

fof(f106,plain,
    ( ~ c1_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( ~ spl0_27
    | spl0_86 ),
    inference(avatar_split_clause,[],[f108,f665,f366]) ).

fof(f366,plain,
    ( spl0_27
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f108,plain,
    ( c0_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl0_27
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f109,f660,f366]) ).

fof(f109,plain,
    ( ~ c1_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl0_27
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f655,f366]) ).

fof(f110,plain,
    ( ~ c2_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f652,plain,
    ( ~ spl0_18
    | spl0_83 ),
    inference(avatar_split_clause,[],[f112,f649,f330]) ).

fof(f330,plain,
    ( spl0_18
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f112,plain,
    ( c0_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f647,plain,
    ( ~ spl0_18
    | spl0_82 ),
    inference(avatar_split_clause,[],[f113,f644,f330]) ).

fof(f113,plain,
    ( c3_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_18
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f114,f639,f330]) ).

fof(f114,plain,
    ( ~ c2_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f636,plain,
    ( ~ spl0_2
    | spl0_80 ),
    inference(avatar_split_clause,[],[f116,f633,f259]) ).

fof(f259,plain,
    ( spl0_2
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f116,plain,
    ( c1_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl0_2
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f117,f628,f259]) ).

fof(f117,plain,
    ( ~ c2_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f626,plain,
    ( ~ spl0_2
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f118,f623,f259]) ).

fof(f118,plain,
    ( ~ c3_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f620,plain,
    ( ~ spl0_25
    | spl0_77 ),
    inference(avatar_split_clause,[],[f120,f617,f358]) ).

fof(f358,plain,
    ( spl0_25
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f120,plain,
    ( c0_1(a2529)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f615,plain,
    ( ~ spl0_25
    | spl0_76 ),
    inference(avatar_split_clause,[],[f121,f612,f358]) ).

fof(f121,plain,
    ( c2_1(a2529)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_25
    | spl0_75 ),
    inference(avatar_split_clause,[],[f122,f607,f358]) ).

fof(f122,plain,
    ( c3_1(a2529)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f604,plain,
    ( ~ spl0_29
    | spl0_74 ),
    inference(avatar_split_clause,[],[f124,f601,f374]) ).

fof(f374,plain,
    ( spl0_29
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f124,plain,
    ( c1_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_29
    | spl0_73 ),
    inference(avatar_split_clause,[],[f125,f596,f374]) ).

fof(f125,plain,
    ( c2_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl0_29
    | spl0_72 ),
    inference(avatar_split_clause,[],[f126,f591,f374]) ).

fof(f126,plain,
    ( c3_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl0_17
    | spl0_71 ),
    inference(avatar_split_clause,[],[f128,f585,f326]) ).

fof(f326,plain,
    ( spl0_17
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f128,plain,
    ( c0_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl0_17
    | spl0_70 ),
    inference(avatar_split_clause,[],[f129,f580,f326]) ).

fof(f129,plain,
    ( c1_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_17
    | spl0_69 ),
    inference(avatar_split_clause,[],[f130,f575,f326]) ).

fof(f130,plain,
    ( c2_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( ~ spl0_21
    | spl0_68 ),
    inference(avatar_split_clause,[],[f132,f569,f342]) ).

fof(f342,plain,
    ( spl0_21
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f132,plain,
    ( c0_1(a2597)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( ~ spl0_21
    | spl0_67 ),
    inference(avatar_split_clause,[],[f133,f564,f342]) ).

fof(f133,plain,
    ( c1_1(a2597)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( ~ spl0_21
    | spl0_66 ),
    inference(avatar_split_clause,[],[f134,f559,f342]) ).

fof(f134,plain,
    ( c3_1(a2597)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f552,plain,
    ( spl0_64
    | spl0_57
    | ~ spl0_19
    | spl0_23 ),
    inference(avatar_split_clause,[],[f213,f351,f335,f509,f549]) ).

fof(f213,plain,
    ! [X116,X114,X115] :
      ( ~ c2_1(X114)
      | ~ c1_1(X114)
      | ~ c0_1(X114)
      | ~ ndr1_0
      | ~ c1_1(X115)
      | c3_1(X115)
      | c0_1(X115)
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X116,X114,X115] :
      ( ~ c2_1(X114)
      | ~ c1_1(X114)
      | ~ c0_1(X114)
      | ~ ndr1_0
      | ~ c1_1(X115)
      | c3_1(X115)
      | c0_1(X115)
      | ~ ndr1_0
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( spl0_64
    | ~ spl0_19
    | spl0_42
    | spl0_1 ),
    inference(avatar_split_clause,[],[f214,f255,f435,f335,f549]) ).

fof(f214,plain,
    ! [X113,X112] :
      ( hskp2
      | ~ c2_1(X112)
      | ~ c0_1(X112)
      | c1_1(X112)
      | ~ ndr1_0
      | c3_1(X113)
      | c1_1(X113)
      | c0_1(X113) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X113,X112] :
      ( hskp2
      | ~ c2_1(X112)
      | ~ c0_1(X112)
      | c1_1(X112)
      | ~ ndr1_0
      | c3_1(X113)
      | c1_1(X113)
      | c0_1(X113)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f547,plain,
    ( spl0_63
    | spl0_54
    | ~ spl0_19
    | spl0_42 ),
    inference(avatar_split_clause,[],[f215,f435,f335,f495,f541]) ).

fof(f215,plain,
    ! [X111,X109,X110] :
      ( ~ c2_1(X109)
      | ~ c0_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | ~ c1_1(X110)
      | c0_1(X110)
      | ~ c2_1(X111)
      | c1_1(X111)
      | c0_1(X111) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X111,X109,X110] :
      ( ~ c2_1(X109)
      | ~ c0_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X110)
      | ~ c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0
      | ~ c2_1(X111)
      | c1_1(X111)
      | c0_1(X111)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( spl0_63
    | ~ spl0_19
    | spl0_54
    | spl0_3 ),
    inference(avatar_split_clause,[],[f216,f263,f495,f335,f541]) ).

fof(f216,plain,
    ! [X108,X107] :
      ( hskp3
      | ~ c2_1(X107)
      | ~ c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c1_1(X108)
      | c0_1(X108) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X108,X107] :
      ( hskp3
      | ~ c2_1(X107)
      | ~ c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c1_1(X108)
      | c0_1(X108)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f545,plain,
    ( spl0_63
    | spl0_50
    | ~ spl0_19
    | spl0_26 ),
    inference(avatar_split_clause,[],[f217,f363,f335,f475,f541]) ).

fof(f217,plain,
    ! [X106,X104,X105] :
      ( ~ c2_1(X104)
      | ~ c0_1(X104)
      | c3_1(X104)
      | ~ ndr1_0
      | ~ c3_1(X105)
      | ~ c2_1(X105)
      | c0_1(X105)
      | ~ c2_1(X106)
      | c1_1(X106)
      | c0_1(X106) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X106,X104,X105] :
      ( ~ c2_1(X104)
      | ~ c0_1(X104)
      | c3_1(X104)
      | ~ ndr1_0
      | ~ c3_1(X105)
      | ~ c2_1(X105)
      | c0_1(X105)
      | ~ ndr1_0
      | ~ c2_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f544,plain,
    ( spl0_63
    | spl0_39
    | ~ spl0_19
    | spl0_26 ),
    inference(avatar_split_clause,[],[f218,f363,f335,f420,f541]) ).

fof(f218,plain,
    ! [X101,X102,X103] :
      ( ~ c2_1(X101)
      | ~ c0_1(X101)
      | c3_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | ~ c0_1(X102)
      | c1_1(X102)
      | ~ c2_1(X103)
      | c1_1(X103)
      | c0_1(X103) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X101,X102,X103] :
      ( ~ c2_1(X101)
      | ~ c0_1(X101)
      | c3_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | ~ c0_1(X102)
      | c1_1(X102)
      | ~ ndr1_0
      | ~ c2_1(X103)
      | c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f533,plain,
    ( spl0_61
    | ~ spl0_19
    | spl0_46
    | spl0_38 ),
    inference(avatar_split_clause,[],[f222,f414,f457,f335,f529]) ).

fof(f222,plain,
    ! [X92,X93] :
      ( hskp8
      | ~ c0_1(X92)
      | c2_1(X92)
      | c1_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | c2_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X92,X93] :
      ( hskp8
      | ~ c0_1(X92)
      | c2_1(X92)
      | c1_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f532,plain,
    ( spl0_61
    | ~ spl0_19
    | spl0_47
    | spl0_33 ),
    inference(avatar_split_clause,[],[f223,f392,f462,f335,f529]) ).

fof(f223,plain,
    ! [X90,X91] :
      ( hskp9
      | ~ c1_1(X90)
      | c3_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X90,X91] :
      ( hskp9
      | ~ c1_1(X90)
      | c3_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_61
    | ~ spl0_19
    | spl0_47
    | spl0_16 ),
    inference(avatar_split_clause,[],[f224,f321,f462,f335,f529]) ).

fof(f224,plain,
    ! [X88,X89] :
      ( hskp1
      | ~ c1_1(X88)
      | c3_1(X88)
      | c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | c2_1(X89)
      | c0_1(X89) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X88,X89] :
      ( hskp1
      | ~ c1_1(X88)
      | c3_1(X88)
      | c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | c2_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_58
    | ~ spl0_19
    | spl0_45
    | spl0_59 ),
    inference(avatar_split_clause,[],[f226,f519,f451,f335,f514]) ).

fof(f226,plain,
    ! [X83,X84] :
      ( hskp11
      | ~ c3_1(X83)
      | c2_1(X83)
      | c1_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X83,X84] :
      ( hskp11
      | ~ c3_1(X83)
      | c2_1(X83)
      | c1_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_57
    | ~ spl0_19
    | spl0_26
    | spl0_6 ),
    inference(avatar_split_clause,[],[f229,f276,f363,f335,f509]) ).

fof(f229,plain,
    ! [X76,X77] :
      ( hskp12
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c3_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X76,X77] :
      ( hskp12
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c3_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_55
    | spl0_56
    | ~ spl0_19
    | spl0_39 ),
    inference(avatar_split_clause,[],[f230,f420,f335,f505,f501]) ).

fof(f230,plain,
    ! [X72,X73,X74] :
      ( ~ c3_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c3_1(X73)
      | c1_1(X73)
      | ~ c2_1(X74)
      | c3_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X72,X73,X74] :
      ( ~ c3_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c3_1(X73)
      | c1_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_54
    | spl0_45
    | ~ spl0_19
    | spl0_43 ),
    inference(avatar_split_clause,[],[f233,f440,f335,f451,f495]) ).

fof(f233,plain,
    ! [X65,X66,X67] :
      ( ~ c0_1(X65)
      | c3_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X65,X66,X67] :
      ( ~ c0_1(X65)
      | c3_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( spl0_51
    | ~ spl0_19
    | spl0_42
    | spl0_12 ),
    inference(avatar_split_clause,[],[f234,f303,f435,f335,f481]) ).

fof(f234,plain,
    ! [X62,X63] :
      ( hskp16
      | ~ c2_1(X62)
      | ~ c0_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X62,X63] :
      ( hskp16
      | ~ c2_1(X62)
      | ~ c0_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f492,plain,
    ( spl0_51
    | ~ spl0_19
    | spl0_47
    | spl0_53 ),
    inference(avatar_split_clause,[],[f235,f489,f462,f335,f481]) ).

fof(f235,plain,
    ! [X60,X61] :
      ( hskp17
      | ~ c1_1(X60)
      | c3_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X60,X61] :
      ( hskp17
      | ~ c1_1(X60)
      | c3_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_50
    | spl0_36
    | ~ spl0_19
    | spl0_22 ),
    inference(avatar_split_clause,[],[f236,f347,f335,f406,f475]) ).

fof(f236,plain,
    ! [X58,X56,X57] :
      ( ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | ~ c0_1(X57)
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X58,X56,X57] :
      ( ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_49
    | ~ spl0_19
    | spl0_31
    | spl0_44 ),
    inference(avatar_split_clause,[],[f238,f443,f383,f335,f470]) ).

fof(f238,plain,
    ! [X51,X52] :
      ( hskp14
      | ~ c3_1(X51)
      | ~ c1_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X51,X52] :
      ( hskp14
      | ~ c3_1(X51)
      | ~ c1_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( ~ spl0_19
    | spl0_49
    | spl0_11
    | spl0_14 ),
    inference(avatar_split_clause,[],[f169,f312,f299,f470,f335]) ).

fof(f169,plain,
    ! [X50] :
      ( hskp20
      | hskp19
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( spl0_46
    | spl0_37
    | ~ spl0_19
    | spl0_48 ),
    inference(avatar_split_clause,[],[f239,f466,f335,f411,f457]) ).

fof(f239,plain,
    ! [X48,X49,X47] :
      ( ~ c3_1(X47)
      | ~ c0_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c1_1(X48)
      | ~ c0_1(X49)
      | c2_1(X49)
      | c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X48,X49,X47] :
      ( ~ c3_1(X47)
      | ~ c0_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | ~ c0_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_46
    | ~ spl0_19
    | spl0_47
    | spl0_4 ),
    inference(avatar_split_clause,[],[f240,f268,f462,f335,f457]) ).

fof(f240,plain,
    ! [X46,X45] :
      ( hskp7
      | ~ c1_1(X45)
      | c3_1(X45)
      | c2_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X46,X45] :
      ( hskp7
      | ~ c1_1(X45)
      | c3_1(X45)
      | c2_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( ~ spl0_19
    | spl0_46
    | spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f172,f427,f308,f457,f335]) ).

fof(f172,plain,
    ! [X44] :
      ( hskp22
      | hskp21
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_19
    | spl0_46
    | spl0_7
    | spl0_16 ),
    inference(avatar_split_clause,[],[f173,f321,f281,f457,f335]) ).

fof(f173,plain,
    ! [X43] :
      ( hskp1
      | hskp23
      | ~ c0_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( spl0_45
    | ~ spl0_19
    | spl0_34
    | spl0_8 ),
    inference(avatar_split_clause,[],[f241,f286,f397,f335,f451]) ).

fof(f241,plain,
    ! [X41,X42] :
      ( hskp24
      | ~ c0_1(X41)
      | c3_1(X41)
      | c2_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X41,X42] :
      ( hskp24
      | ~ c0_1(X41)
      | c3_1(X41)
      | c2_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( spl0_45
    | spl0_28
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f242,f339,f335,f371,f451]) ).

fof(f242,plain,
    ! [X40,X38,X39] :
      ( ~ c3_1(X38)
      | ~ c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | c3_1(X39)
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X40,X38,X39] :
      ( ~ c3_1(X38)
      | ~ c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | c3_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_45
    | ~ spl0_19
    | spl0_24
    | spl0_29 ),
    inference(avatar_split_clause,[],[f243,f374,f355,f335,f451]) ).

fof(f243,plain,
    ! [X36,X37] :
      ( hskp29
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X36,X37] :
      ( hskp29
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_43
    | ~ spl0_19
    | spl0_34
    | spl0_1 ),
    inference(avatar_split_clause,[],[f244,f255,f397,f335,f440]) ).

fof(f244,plain,
    ! [X34,X35] :
      ( hskp2
      | ~ c0_1(X34)
      | c3_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c3_1(X35)
      | c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X34,X35] :
      ( hskp2
      | ~ c0_1(X34)
      | c3_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c3_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( ~ spl0_19
    | spl0_43
    | spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f178,f427,f326,f440,f335]) ).

fof(f178,plain,
    ! [X33] :
      ( hskp22
      | hskp30
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( ~ spl0_19
    | spl0_43
    | spl0_14
    | spl0_44 ),
    inference(avatar_split_clause,[],[f180,f443,f312,f440,f335]) ).

fof(f180,plain,
    ! [X31] :
      ( hskp14
      | hskp20
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( ~ spl0_19
    | spl0_42
    | spl0_27
    | spl0_3 ),
    inference(avatar_split_clause,[],[f181,f263,f366,f435,f335]) ).

fof(f181,plain,
    ! [X30] :
      ( hskp3
      | hskp25
      | ~ c2_1(X30)
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_19
    | spl0_42
    | spl0_15
    | spl0_9 ),
    inference(avatar_split_clause,[],[f182,f290,f317,f435,f335]) ).

fof(f182,plain,
    ! [X29] :
      ( hskp0
      | hskp18
      | ~ c2_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( spl0_39
    | ~ spl0_19
    | spl0_28
    | spl0_13 ),
    inference(avatar_split_clause,[],[f245,f308,f371,f335,f420]) ).

fof(f245,plain,
    ! [X28,X27] :
      ( hskp21
      | ~ c1_1(X27)
      | ~ c0_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c0_1(X28)
      | c1_1(X28) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X28,X27] :
      ( hskp21
      | ~ c1_1(X27)
      | ~ c0_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c0_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( spl0_39
    | ~ spl0_19
    | spl0_24
    | spl0_35 ),
    inference(avatar_split_clause,[],[f246,f400,f355,f335,f420]) ).

fof(f246,plain,
    ! [X26,X25] :
      ( hskp4
      | ~ c2_1(X25)
      | ~ c1_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X26,X25] :
      ( hskp4
      | ~ c2_1(X25)
      | ~ c1_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_39
    | ~ spl0_19
    | spl0_23
    | spl0_25 ),
    inference(avatar_split_clause,[],[f247,f358,f351,f335,f420]) ).

fof(f247,plain,
    ! [X24,X23] :
      ( hskp28
      | ~ c2_1(X23)
      | ~ c1_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X24,X23] :
      ( hskp28
      | ~ c2_1(X23)
      | ~ c1_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( spl0_37
    | ~ spl0_19
    | spl0_34
    | spl0_8 ),
    inference(avatar_split_clause,[],[f248,f286,f397,f335,f411]) ).

fof(f248,plain,
    ! [X21,X20] :
      ( hskp24
      | ~ c0_1(X20)
      | c3_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X21,X20] :
      ( hskp24
      | ~ c0_1(X20)
      | c3_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_19
    | spl0_37
    | spl0_38
    | spl0_4 ),
    inference(avatar_split_clause,[],[f188,f268,f414,f411,f335]) ).

fof(f188,plain,
    ! [X19] :
      ( hskp7
      | hskp8
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( spl0_34
    | ~ spl0_19
    | spl0_28
    | spl0_13 ),
    inference(avatar_split_clause,[],[f249,f308,f371,f335,f397]) ).

fof(f249,plain,
    ! [X18,X17] :
      ( hskp21
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X18,X17] :
      ( hskp21
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_34
    | ~ spl0_19
    | spl0_36
    | spl0_30 ),
    inference(avatar_split_clause,[],[f250,f378,f406,f335,f397]) ).

fof(f250,plain,
    ! [X16,X15] :
      ( hskp10
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X16,X15] :
      ( hskp10
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( ~ spl0_19
    | spl0_34
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f191,f303,f299,f397,f335]) ).

fof(f191,plain,
    ! [X14] :
      ( hskp16
      | hskp19
      | ~ c0_1(X14)
      | c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_19
    | spl0_34
    | spl0_33
    | spl0_35 ),
    inference(avatar_split_clause,[],[f192,f400,f392,f397,f335]) ).

fof(f192,plain,
    ! [X13] :
      ( hskp4
      | hskp9
      | ~ c0_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f395,plain,
    ( ~ spl0_19
    | spl0_32
    | spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f193,f392,f326,f388,f335]) ).

fof(f193,plain,
    ! [X12] :
      ( hskp9
      | hskp30
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( ~ spl0_19
    | spl0_32
    | spl0_8
    | spl0_27 ),
    inference(avatar_split_clause,[],[f194,f366,f286,f388,f335]) ).

fof(f194,plain,
    ! [X11] :
      ( hskp25
      | hskp24
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_31
    | ~ spl0_19
    | spl0_22
    | spl0_10 ),
    inference(avatar_split_clause,[],[f251,f295,f347,f335,f383]) ).

fof(f251,plain,
    ! [X10,X9] :
      ( hskp6
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X10,X9] :
      ( hskp6
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_31
    | ~ spl0_19
    | spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f252,f317,f339,f335,f383]) ).

fof(f252,plain,
    ! [X8,X7] :
      ( hskp18
      | ~ c3_1(X7)
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ ndr1_0
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | c2_1(X8) ),
    inference(duplicate_literal_removal,[],[f196]) ).

fof(f196,plain,
    ! [X8,X7] :
      ( hskp18
      | ~ c3_1(X7)
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ ndr1_0
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | c2_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f381,plain,
    ( ~ spl0_19
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f197,f378,f374,f371,f335]) ).

fof(f197,plain,
    ! [X6] :
      ( hskp10
      | hskp29
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( ~ spl0_19
    | spl0_26
    | spl0_27
    | spl0_14 ),
    inference(avatar_split_clause,[],[f198,f312,f366,f363,f335]) ).

fof(f198,plain,
    ! [X5] :
      ( hskp20
      | hskp25
      | ~ c2_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f353,plain,
    ( spl0_23
    | ~ spl0_19
    | spl0_22
    | spl0_3 ),
    inference(avatar_split_clause,[],[f253,f263,f347,f335,f351]) ).

fof(f253,plain,
    ! [X2,X3] :
      ( hskp3
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3) ),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,plain,
    ! [X2,X3] :
      ( hskp3
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f349,plain,
    ( ~ spl0_19
    | spl0_22
    | spl0_10
    | spl0_14 ),
    inference(avatar_split_clause,[],[f201,f312,f295,f347,f335]) ).

fof(f201,plain,
    ! [X1] :
      ( hskp20
      | hskp6
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f345,plain,
    ( ~ spl0_19
    | spl0_20
    | spl0_21
    | spl0_7 ),
    inference(avatar_split_clause,[],[f202,f281,f342,f339,f335]) ).

fof(f202,plain,
    ! [X0] :
      ( hskp23
      | hskp31
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f333,plain,
    ( spl0_17
    | spl0_13
    | spl0_18 ),
    inference(avatar_split_clause,[],[f203,f330,f308,f326]) ).

fof(f203,plain,
    ( hskp26
    | hskp21
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f306,plain,
    ( spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f206,f303,f299,f295]) ).

fof(f206,plain,
    ( hskp16
    | hskp19
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f293,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f207,f290,f286]) ).

fof(f207,plain,
    ( hskp0
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f284,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f208,f259,f281]) ).

fof(f208,plain,
    ( hskp27
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.18  % Problem    : SYN489+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.20  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.41  % Computer : n002.cluster.edu
% 0.13/0.41  % Model    : x86_64 x86_64
% 0.13/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41  % Memory   : 8042.1875MB
% 0.13/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.41  % CPULimit   : 300
% 0.13/0.41  % WCLimit    : 300
% 0.13/0.41  % DateTime   : Fri May  3 17:51:53 EDT 2024
% 0.13/0.41  % CPUTime    : 
% 0.13/0.41  This is a FOF_THM_EPR_NEQ problem
% 0.13/0.41  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Tz5R6OlrK3/Vampire---4.8_25029
% 0.56/0.80  % (25143)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.80  % (25137)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.80  % (25139)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.80  % (25138)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.80  % (25140)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.80  % (25141)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.80  % (25142)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.81  % (25144)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.81  % (25140)Instruction limit reached!
% 0.59/0.81  % (25140)------------------------------
% 0.59/0.81  % (25140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (25140)Termination reason: Unknown
% 0.59/0.81  % (25140)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (25140)Memory used [KB]: 2286
% 0.59/0.81  % (25140)Time elapsed: 0.020 s
% 0.59/0.81  % (25140)Instructions burned: 33 (million)
% 0.59/0.81  % (25140)------------------------------
% 0.59/0.81  % (25140)------------------------------
% 0.59/0.82  % (25137)Instruction limit reached!
% 0.59/0.82  % (25137)------------------------------
% 0.59/0.82  % (25137)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (25137)Termination reason: Unknown
% 0.59/0.82  % (25137)Termination phase: Saturation
% 0.59/0.82  
% 0.59/0.82  % (25137)Memory used [KB]: 2095
% 0.59/0.82  % (25137)Time elapsed: 0.022 s
% 0.59/0.82  % (25137)Instructions burned: 35 (million)
% 0.59/0.82  % (25137)------------------------------
% 0.59/0.82  % (25137)------------------------------
% 0.59/0.82  % (25138)First to succeed.
% 0.59/0.82  % (25146)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.82  % (25142)Instruction limit reached!
% 0.59/0.82  % (25142)------------------------------
% 0.59/0.82  % (25142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (25142)Termination reason: Unknown
% 0.59/0.82  % (25142)Termination phase: Saturation
% 0.59/0.82  
% 0.59/0.82  % (25142)Memory used [KB]: 2335
% 0.59/0.82  % (25142)Time elapsed: 0.028 s
% 0.59/0.82  % (25142)Instructions burned: 46 (million)
% 0.59/0.82  % (25142)------------------------------
% 0.59/0.82  % (25142)------------------------------
% 0.59/0.82  % (25143)Instruction limit reached!
% 0.59/0.82  % (25143)------------------------------
% 0.59/0.82  % (25143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (25143)Termination reason: Unknown
% 0.59/0.82  % (25143)Termination phase: Saturation
% 0.59/0.82  
% 0.59/0.82  % (25143)Memory used [KB]: 3466
% 0.59/0.82  % (25143)Time elapsed: 0.030 s
% 0.59/0.82  % (25143)Instructions burned: 86 (million)
% 0.59/0.82  % (25143)------------------------------
% 0.59/0.82  % (25143)------------------------------
% 0.59/0.83  % (25145)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.83  % (25147)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.83  % (25148)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.83  % (25141)Instruction limit reached!
% 0.59/0.83  % (25141)------------------------------
% 0.59/0.83  % (25141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (25141)Termination reason: Unknown
% 0.59/0.83  % (25141)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (25141)Memory used [KB]: 2173
% 0.59/0.83  % (25141)Time elapsed: 0.022 s
% 0.59/0.83  % (25141)Instructions burned: 35 (million)
% 0.59/0.83  % (25141)------------------------------
% 0.59/0.83  % (25141)------------------------------
% 0.59/0.83  % (25149)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.83  % (25138)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25136"
% 0.59/0.84  % (25138)Refutation found. Thanks to Tanya!
% 0.59/0.84  % SZS status Theorem for Vampire---4
% 0.59/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.84  % (25138)------------------------------
% 0.76/0.84  % (25138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.84  % (25138)Termination reason: Refutation
% 0.76/0.84  
% 0.76/0.84  % (25138)Memory used [KB]: 1991
% 0.76/0.84  % (25138)Time elapsed: 0.039 s
% 0.76/0.84  % (25138)Instructions burned: 70 (million)
% 0.76/0.84  % (25136)Success in time 0.412 s
% 0.76/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------