TSTP Solution File: SYN499+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN499+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 11:58:12 EDT 2024

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  131
% Syntax   : Number of formulae    :  598 (   1 unt;   0 def)
%            Number of atoms       : 6724 (   0 equ)
%            Maximal formula atoms :  775 (  11 avg)
%            Number of connectives : 9038 (2912   ~;4270   |;1218   &)
%                                         ( 130 <=>; 508  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  117 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  167 ( 166 usr; 163 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  941 ( 941   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1894,plain,
    $false,
    inference(avatar_sat_refutation,[],[f260,f269,f309,f317,f318,f322,f331,f352,f374,f384,f389,f398,f402,f404,f409,f410,f418,f419,f421,f425,f432,f433,f437,f446,f450,f455,f456,f468,f469,f474,f484,f485,f486,f496,f497,f498,f503,f504,f505,f510,f511,f512,f513,f553,f558,f563,f569,f574,f579,f633,f638,f643,f649,f654,f659,f681,f686,f691,f713,f718,f723,f729,f734,f739,f740,f745,f750,f755,f761,f766,f771,f793,f798,f803,f809,f814,f819,f825,f830,f835,f841,f846,f851,f873,f878,f883,f889,f894,f899,f905,f910,f915,f916,f921,f926,f931,f937,f942,f947,f985,f990,f995,f1001,f1006,f1011,f1012,f1017,f1022,f1027,f1033,f1038,f1043,f1052,f1066,f1068,f1089,f1101,f1106,f1116,f1118,f1125,f1126,f1134,f1139,f1148,f1174,f1181,f1187,f1189,f1214,f1216,f1217,f1224,f1239,f1244,f1245,f1273,f1310,f1316,f1318,f1340,f1376,f1382,f1398,f1407,f1426,f1443,f1448,f1479,f1480,f1491,f1511,f1514,f1525,f1531,f1532,f1533,f1569,f1571,f1572,f1603,f1604,f1607,f1613,f1635,f1661,f1663,f1674,f1676,f1728,f1744,f1791,f1792,f1793,f1794,f1796,f1797,f1800,f1834,f1836,f1838,f1872,f1889,f1890,f1893]) ).

fof(f1893,plain,
    ( spl0_181
    | spl0_67
    | ~ spl0_35
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1886,f571,f400,f566,f1521]) ).

fof(f1521,plain,
    ( spl0_181
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f566,plain,
    ( spl0_67
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f400,plain,
    ( spl0_35
  <=> ! [X17] :
        ( ~ c1_1(X17)
        | c2_1(X17)
        | c3_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f571,plain,
    ( spl0_68
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1886,plain,
    ( c2_1(a136)
    | c3_1(a136)
    | ~ spl0_35
    | ~ spl0_68 ),
    inference(resolution,[],[f401,f573]) ).

fof(f573,plain,
    ( c1_1(a136)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f401,plain,
    ( ! [X17] :
        ( ~ c1_1(X17)
        | c2_1(X17)
        | c3_1(X17) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f1890,plain,
    ( spl0_94
    | spl0_180
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1882,f720,f400,f1445,f710]) ).

fof(f710,plain,
    ( spl0_94
  <=> c3_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1445,plain,
    ( spl0_180
  <=> c2_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f720,plain,
    ( spl0_96
  <=> c1_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1882,plain,
    ( c2_1(a168)
    | c3_1(a168)
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(resolution,[],[f401,f722]) ).

fof(f722,plain,
    ( c1_1(a168)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f1889,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_35
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1878,f1236,f400,f875,f870]) ).

fof(f870,plain,
    ( spl0_124
  <=> c3_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f875,plain,
    ( spl0_125
  <=> c2_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1236,plain,
    ( spl0_168
  <=> c1_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1878,plain,
    ( c2_1(a140)
    | c3_1(a140)
    | ~ spl0_35
    | ~ spl0_168 ),
    inference(resolution,[],[f401,f1238]) ).

fof(f1238,plain,
    ( c1_1(a140)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1236]) ).

fof(f1872,plain,
    ( ~ spl0_126
    | spl0_125
    | ~ spl0_33
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1861,f1236,f391,f875,f880]) ).

fof(f880,plain,
    ( spl0_126
  <=> c0_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f391,plain,
    ( spl0_33
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1861,plain,
    ( c2_1(a140)
    | ~ c0_1(a140)
    | ~ spl0_33
    | ~ spl0_168 ),
    inference(resolution,[],[f392,f1238]) ).

fof(f392,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f1838,plain,
    ( ~ spl0_67
    | spl0_181
    | ~ spl0_23
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1648,f571,f345,f1521,f566]) ).

fof(f345,plain,
    ( spl0_23
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1648,plain,
    ( c3_1(a136)
    | ~ c2_1(a136)
    | ~ spl0_23
    | ~ spl0_68 ),
    inference(resolution,[],[f346,f573]) ).

fof(f346,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f1836,plain,
    ( spl0_136
    | spl0_137
    | ~ spl0_40
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1807,f1600,f427,f939,f934]) ).

fof(f934,plain,
    ( spl0_136
  <=> c2_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f939,plain,
    ( spl0_137
  <=> c1_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f427,plain,
    ( spl0_40
  <=> ! [X35] :
        ( ~ c3_1(X35)
        | c1_1(X35)
        | c2_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1600,plain,
    ( spl0_183
  <=> c3_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1807,plain,
    ( c1_1(a131)
    | c2_1(a131)
    | ~ spl0_40
    | ~ spl0_183 ),
    inference(resolution,[],[f428,f1602]) ).

fof(f1602,plain,
    ( c3_1(a131)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1600]) ).

fof(f428,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c1_1(X35)
        | c2_1(X35) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1834,plain,
    ( spl0_137
    | ~ spl0_40
    | ~ spl0_43
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1824,f934,f439,f427,f939]) ).

fof(f439,plain,
    ( spl0_43
  <=> ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1824,plain,
    ( c1_1(a131)
    | ~ spl0_40
    | ~ spl0_43
    | spl0_136 ),
    inference(resolution,[],[f1820,f936]) ).

fof(f936,plain,
    ( ~ c2_1(a131)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f1820,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_40
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1804]) ).

fof(f1804,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_40
    | ~ spl0_43 ),
    inference(resolution,[],[f428,f440]) ).

fof(f440,plain,
    ( ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1800,plain,
    ( spl0_79
    | ~ spl0_81
    | ~ spl0_56
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1789,f635,f507,f640,f630]) ).

fof(f630,plain,
    ( spl0_79
  <=> c1_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f640,plain,
    ( spl0_81
  <=> c3_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f507,plain,
    ( spl0_56
  <=> ! [X89] :
        ( ~ c3_1(X89)
        | c0_1(X89)
        | c1_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f635,plain,
    ( spl0_80
  <=> c0_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1789,plain,
    ( ~ c3_1(a189)
    | c1_1(a189)
    | ~ spl0_56
    | spl0_80 ),
    inference(resolution,[],[f508,f637]) ).

fof(f637,plain,
    ( ~ c0_1(a189)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f508,plain,
    ( ! [X89] :
        ( c0_1(X89)
        | ~ c3_1(X89)
        | c1_1(X89) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f1797,plain,
    ( spl0_179
    | ~ spl0_110
    | ~ spl0_56
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1785,f790,f507,f795,f1423]) ).

fof(f1423,plain,
    ( spl0_179
  <=> c1_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f795,plain,
    ( spl0_110
  <=> c3_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f790,plain,
    ( spl0_109
  <=> c0_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1785,plain,
    ( ~ c3_1(a153)
    | c1_1(a153)
    | ~ spl0_56
    | spl0_109 ),
    inference(resolution,[],[f508,f792]) ).

fof(f792,plain,
    ( ~ c0_1(a153)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f1796,plain,
    ( spl0_115
    | ~ spl0_116
    | ~ spl0_56
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1784,f1136,f507,f827,f822]) ).

fof(f822,plain,
    ( spl0_115
  <=> c1_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f827,plain,
    ( spl0_116
  <=> c3_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1136,plain,
    ( spl0_163
  <=> c0_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1784,plain,
    ( ~ c3_1(a143)
    | c1_1(a143)
    | ~ spl0_56
    | spl0_163 ),
    inference(resolution,[],[f508,f1138]) ).

fof(f1138,plain,
    ( ~ c0_1(a143)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1136]) ).

fof(f1794,plain,
    ( spl0_167
    | ~ spl0_135
    | ~ spl0_56
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1782,f923,f507,f928,f1221]) ).

fof(f1221,plain,
    ( spl0_167
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f928,plain,
    ( spl0_135
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f923,plain,
    ( spl0_134
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1782,plain,
    ( ~ c3_1(a132)
    | c1_1(a132)
    | ~ spl0_56
    | spl0_134 ),
    inference(resolution,[],[f508,f925]) ).

fof(f925,plain,
    ( ~ c0_1(a132)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f1793,plain,
    ( spl0_137
    | ~ spl0_183
    | ~ spl0_56
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1781,f944,f507,f1600,f939]) ).

fof(f944,plain,
    ( spl0_138
  <=> c0_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1781,plain,
    ( ~ c3_1(a131)
    | c1_1(a131)
    | ~ spl0_56
    | spl0_138 ),
    inference(resolution,[],[f508,f946]) ).

fof(f946,plain,
    ( ~ c0_1(a131)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f1792,plain,
    ( spl0_154
    | ~ spl0_171
    | ~ spl0_56
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1779,f1035,f507,f1307,f1030]) ).

fof(f1030,plain,
    ( spl0_154
  <=> c1_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1307,plain,
    ( spl0_171
  <=> c3_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1035,plain,
    ( spl0_155
  <=> c0_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1779,plain,
    ( ~ c3_1(a123)
    | c1_1(a123)
    | ~ spl0_56
    | spl0_155 ),
    inference(resolution,[],[f508,f1037]) ).

fof(f1037,plain,
    ( ~ c0_1(a123)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1791,plain,
    ( spl0_40
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1790,f507,f435,f427]) ).

fof(f435,plain,
    ( spl0_42
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1790,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1778]) ).

fof(f1778,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(resolution,[],[f508,f436]) ).

fof(f436,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1744,plain,
    ( spl0_43
    | ~ spl0_42
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1743,f500,f435,f439]) ).

fof(f500,plain,
    ( spl0_55
  <=> ! [X84] :
        ( c3_1(X84)
        | c0_1(X84)
        | c2_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1743,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_42
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1730]) ).

fof(f1730,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_55 ),
    inference(resolution,[],[f501,f436]) ).

fof(f501,plain,
    ( ! [X84] :
        ( c0_1(X84)
        | c3_1(X84)
        | c2_1(X84) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1728,plain,
    ( ~ spl0_180
    | spl0_94
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1727,f720,f345,f710,f1445]) ).

fof(f1727,plain,
    ( c3_1(a168)
    | ~ c2_1(a168)
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(resolution,[],[f722,f346]) ).

fof(f1676,plain,
    ( ~ spl0_67
    | ~ spl0_69
    | ~ spl0_41
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1672,f1521,f430,f576,f566]) ).

fof(f576,plain,
    ( spl0_69
  <=> c0_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f430,plain,
    ( spl0_41
  <=> ! [X34] :
        ( ~ c3_1(X34)
        | ~ c0_1(X34)
        | ~ c2_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1672,plain,
    ( ~ c0_1(a136)
    | ~ c2_1(a136)
    | ~ spl0_41
    | ~ spl0_181 ),
    inference(resolution,[],[f431,f1523]) ).

fof(f1523,plain,
    ( c3_1(a136)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1521]) ).

fof(f431,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | ~ c0_1(X34)
        | ~ c2_1(X34) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f1674,plain,
    ( ~ spl0_161
    | ~ spl0_120
    | ~ spl0_41
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1667,f843,f430,f848,f1097]) ).

fof(f1097,plain,
    ( spl0_161
  <=> c2_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f848,plain,
    ( spl0_120
  <=> c0_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f843,plain,
    ( spl0_119
  <=> c3_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1667,plain,
    ( ~ c0_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_41
    | ~ spl0_119 ),
    inference(resolution,[],[f431,f845]) ).

fof(f845,plain,
    ( c3_1(a142)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1663,plain,
    ( ~ spl0_105
    | spl0_103
    | ~ spl0_29
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1656,f1400,f372,f758,f768]) ).

fof(f768,plain,
    ( spl0_105
  <=> c1_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f758,plain,
    ( spl0_103
  <=> c2_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f372,plain,
    ( spl0_29
  <=> ! [X10] :
        ( ~ c3_1(X10)
        | c2_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1400,plain,
    ( spl0_178
  <=> c3_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1656,plain,
    ( c2_1(a155)
    | ~ c1_1(a155)
    | ~ spl0_29
    | ~ spl0_178 ),
    inference(resolution,[],[f373,f1402]) ).

fof(f1402,plain,
    ( c3_1(a155)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f373,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | c2_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1661,plain,
    ( ~ spl0_167
    | spl0_133
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1652,f928,f372,f918,f1221]) ).

fof(f918,plain,
    ( spl0_133
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1652,plain,
    ( c2_1(a132)
    | ~ c1_1(a132)
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(resolution,[],[f373,f930]) ).

fof(f930,plain,
    ( c3_1(a132)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f1635,plain,
    ( ~ spl0_67
    | ~ spl0_69
    | ~ spl0_20
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1632,f571,f333,f576,f566]) ).

fof(f333,plain,
    ( spl0_20
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1632,plain,
    ( ~ c0_1(a136)
    | ~ c2_1(a136)
    | ~ spl0_20
    | ~ spl0_68 ),
    inference(resolution,[],[f334,f573]) ).

fof(f334,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c0_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f1613,plain,
    ( ~ spl0_132
    | spl0_131
    | ~ spl0_48
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1612,f1313,f462,f907,f912]) ).

fof(f912,plain,
    ( spl0_132
  <=> c2_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f907,plain,
    ( spl0_131
  <=> c0_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f462,plain,
    ( spl0_48
  <=> ! [X51] :
        ( ~ c2_1(X51)
        | c0_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1313,plain,
    ( spl0_172
  <=> c1_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1612,plain,
    ( c0_1(a134)
    | ~ c2_1(a134)
    | ~ spl0_48
    | ~ spl0_172 ),
    inference(resolution,[],[f1315,f463]) ).

fof(f463,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | c0_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1315,plain,
    ( c1_1(a134)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1607,plain,
    ( spl0_83
    | spl0_82
    | ~ spl0_55
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1595,f656,f500,f646,f651]) ).

fof(f651,plain,
    ( spl0_83
  <=> c2_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f646,plain,
    ( spl0_82
  <=> c3_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f656,plain,
    ( spl0_84
  <=> c0_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1595,plain,
    ( c3_1(a182)
    | c2_1(a182)
    | ~ spl0_55
    | spl0_84 ),
    inference(resolution,[],[f501,f658]) ).

fof(f658,plain,
    ( ~ c0_1(a182)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f1604,plain,
    ( spl0_103
    | spl0_178
    | ~ spl0_55
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1591,f763,f500,f1400,f758]) ).

fof(f763,plain,
    ( spl0_104
  <=> c0_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1591,plain,
    ( c3_1(a155)
    | c2_1(a155)
    | ~ spl0_55
    | spl0_104 ),
    inference(resolution,[],[f501,f765]) ).

fof(f765,plain,
    ( ~ c0_1(a155)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f1603,plain,
    ( spl0_136
    | spl0_183
    | ~ spl0_55
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1588,f944,f500,f1600,f934]) ).

fof(f1588,plain,
    ( c3_1(a131)
    | c2_1(a131)
    | ~ spl0_55
    | spl0_138 ),
    inference(resolution,[],[f501,f946]) ).

fof(f1572,plain,
    ( spl0_97
    | spl0_159
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1564,f736,f488,f1063,f726]) ).

fof(f726,plain,
    ( spl0_97
  <=> c2_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1063,plain,
    ( spl0_159
  <=> c0_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f488,plain,
    ( spl0_53
  <=> ! [X74] :
        ( ~ c1_1(X74)
        | c0_1(X74)
        | c2_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f736,plain,
    ( spl0_99
  <=> c1_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1564,plain,
    ( c0_1(a164)
    | c2_1(a164)
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(resolution,[],[f489,f738]) ).

fof(f738,plain,
    ( c1_1(a164)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f489,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c0_1(X74)
        | c2_1(X74) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f1571,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_53
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1563,f768,f488,f763,f758]) ).

fof(f1563,plain,
    ( c0_1(a155)
    | c2_1(a155)
    | ~ spl0_53
    | ~ spl0_105 ),
    inference(resolution,[],[f489,f770]) ).

fof(f770,plain,
    ( c1_1(a155)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1569,plain,
    ( spl0_133
    | spl0_134
    | ~ spl0_53
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1560,f1221,f488,f923,f918]) ).

fof(f1560,plain,
    ( c0_1(a132)
    | c2_1(a132)
    | ~ spl0_53
    | ~ spl0_167 ),
    inference(resolution,[],[f489,f1223]) ).

fof(f1223,plain,
    ( c1_1(a132)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1221]) ).

fof(f1533,plain,
    ( ~ spl0_120
    | spl0_161
    | ~ spl0_31
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1287,f843,f382,f1097,f848]) ).

fof(f382,plain,
    ( spl0_31
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1287,plain,
    ( c2_1(a142)
    | ~ c0_1(a142)
    | ~ spl0_31
    | ~ spl0_119 ),
    inference(resolution,[],[f383,f845]) ).

fof(f383,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1532,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_16
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1527,f1521,f315,f571,f566]) ).

fof(f315,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1527,plain,
    ( ~ c1_1(a136)
    | ~ c2_1(a136)
    | ~ spl0_16
    | ~ spl0_181 ),
    inference(resolution,[],[f1523,f316]) ).

fof(f316,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f1531,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_17
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1526,f1521,f320,f576,f571]) ).

fof(f320,plain,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1526,plain,
    ( ~ c0_1(a136)
    | ~ c1_1(a136)
    | ~ spl0_17
    | ~ spl0_181 ),
    inference(resolution,[],[f1523,f321]) ).

fof(f321,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f1525,plain,
    ( ~ spl0_69
    | spl0_181
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1519,f571,f355,f1521,f576]) ).

fof(f355,plain,
    ( spl0_25
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1519,plain,
    ( c3_1(a136)
    | ~ c0_1(a136)
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(resolution,[],[f573,f356]) ).

fof(f356,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f1514,plain,
    ( spl0_97
    | spl0_159
    | ~ spl0_51
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1508,f731,f476,f1063,f726]) ).

fof(f476,plain,
    ( spl0_51
  <=> ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f731,plain,
    ( spl0_98
  <=> c3_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1508,plain,
    ( c0_1(a164)
    | c2_1(a164)
    | ~ spl0_51
    | ~ spl0_98 ),
    inference(resolution,[],[f477,f733]) ).

fof(f733,plain,
    ( c3_1(a164)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f477,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | c2_1(X63) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f1511,plain,
    ( spl0_133
    | spl0_134
    | ~ spl0_51
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1502,f928,f476,f923,f918]) ).

fof(f1502,plain,
    ( c0_1(a132)
    | c2_1(a132)
    | ~ spl0_51
    | ~ spl0_135 ),
    inference(resolution,[],[f477,f930]) ).

fof(f1491,plain,
    ( ~ spl0_117
    | ~ spl0_163
    | ~ spl0_41
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1484,f827,f430,f1136,f832]) ).

fof(f832,plain,
    ( spl0_117
  <=> c2_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1484,plain,
    ( ~ c0_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_41
    | ~ spl0_116 ),
    inference(resolution,[],[f431,f829]) ).

fof(f829,plain,
    ( c3_1(a143)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f1480,plain,
    ( spl0_94
    | spl0_95
    | ~ spl0_50
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1476,f720,f471,f715,f710]) ).

fof(f715,plain,
    ( spl0_95
  <=> c0_1(a168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f471,plain,
    ( spl0_50
  <=> ! [X59] :
        ( ~ c1_1(X59)
        | c0_1(X59)
        | c3_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1476,plain,
    ( c0_1(a168)
    | c3_1(a168)
    | ~ spl0_50
    | ~ spl0_96 ),
    inference(resolution,[],[f472,f722]) ).

fof(f472,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | c0_1(X59)
        | c3_1(X59) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f1479,plain,
    ( spl0_178
    | spl0_104
    | ~ spl0_50
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1474,f768,f471,f763,f1400]) ).

fof(f1474,plain,
    ( c0_1(a155)
    | c3_1(a155)
    | ~ spl0_50
    | ~ spl0_105 ),
    inference(resolution,[],[f472,f770]) ).

fof(f1448,plain,
    ( ~ spl0_180
    | spl0_95
    | ~ spl0_48
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1441,f720,f462,f715,f1445]) ).

fof(f1441,plain,
    ( c0_1(a168)
    | ~ c2_1(a168)
    | ~ spl0_48
    | ~ spl0_96 ),
    inference(resolution,[],[f463,f722]) ).

fof(f1443,plain,
    ( ~ spl0_149
    | spl0_148
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1435,f1008,f462,f998,f1003]) ).

fof(f1003,plain,
    ( spl0_149
  <=> c2_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f998,plain,
    ( spl0_148
  <=> c0_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1008,plain,
    ( spl0_150
  <=> c1_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1435,plain,
    ( c0_1(a125)
    | ~ c2_1(a125)
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(resolution,[],[f463,f1010]) ).

fof(f1010,plain,
    ( c1_1(a125)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1426,plain,
    ( ~ spl0_111
    | ~ spl0_179
    | ~ spl0_16
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1418,f795,f315,f1423,f800]) ).

fof(f800,plain,
    ( spl0_111
  <=> c2_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1418,plain,
    ( ~ c1_1(a153)
    | ~ c2_1(a153)
    | ~ spl0_16
    | ~ spl0_110 ),
    inference(resolution,[],[f316,f797]) ).

fof(f797,plain,
    ( c3_1(a153)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f1407,plain,
    ( ~ spl0_66
    | spl0_157
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1291,f550,f382,f1049,f560]) ).

fof(f560,plain,
    ( spl0_66
  <=> c0_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1049,plain,
    ( spl0_157
  <=> c2_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f550,plain,
    ( spl0_64
  <=> c3_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1291,plain,
    ( c2_1(a167)
    | ~ c0_1(a167)
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(resolution,[],[f383,f552]) ).

fof(f552,plain,
    ( c3_1(a167)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f1398,plain,
    ( spl0_145
    | spl0_146
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1390,f992,f400,f987,f982]) ).

fof(f982,plain,
    ( spl0_145
  <=> c3_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f987,plain,
    ( spl0_146
  <=> c2_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f992,plain,
    ( spl0_147
  <=> c1_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1390,plain,
    ( c2_1(a127)
    | c3_1(a127)
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(resolution,[],[f401,f994]) ).

fof(f994,plain,
    ( c1_1(a127)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f1382,plain,
    ( spl0_130
    | spl0_131
    | ~ spl0_49
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1365,f912,f466,f907,f902]) ).

fof(f902,plain,
    ( spl0_130
  <=> c3_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f466,plain,
    ( spl0_49
  <=> ! [X54] :
        ( ~ c2_1(X54)
        | c0_1(X54)
        | c3_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1365,plain,
    ( c0_1(a134)
    | c3_1(a134)
    | ~ spl0_49
    | ~ spl0_132 ),
    inference(resolution,[],[f467,f914]) ).

fof(f914,plain,
    ( c2_1(a134)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f467,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | c0_1(X54)
        | c3_1(X54) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f1376,plain,
    ( spl0_171
    | spl0_155
    | ~ spl0_49
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1362,f1040,f466,f1035,f1307]) ).

fof(f1040,plain,
    ( spl0_156
  <=> c2_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1362,plain,
    ( c0_1(a123)
    | c3_1(a123)
    | ~ spl0_49
    | ~ spl0_156 ),
    inference(resolution,[],[f467,f1042]) ).

fof(f1042,plain,
    ( c2_1(a123)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1340,plain,
    ( ~ spl0_111
    | spl0_109
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1336,f795,f448,f790,f800]) ).

fof(f448,plain,
    ( spl0_45
  <=> ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1336,plain,
    ( c0_1(a153)
    | ~ c2_1(a153)
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(resolution,[],[f449,f797]) ).

fof(f449,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f1318,plain,
    ( spl0_112
    | spl0_113
    | ~ spl0_39
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1298,f1241,f423,f811,f806]) ).

fof(f806,plain,
    ( spl0_112
  <=> c3_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f811,plain,
    ( spl0_113
  <=> c1_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f423,plain,
    ( spl0_39
  <=> ! [X33] :
        ( ~ c2_1(X33)
        | c1_1(X33)
        | c3_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1241,plain,
    ( spl0_169
  <=> c2_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1298,plain,
    ( c1_1(a147)
    | c3_1(a147)
    | ~ spl0_39
    | ~ spl0_169 ),
    inference(resolution,[],[f424,f1243]) ).

fof(f1243,plain,
    ( c2_1(a147)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1241]) ).

fof(f424,plain,
    ( ! [X33] :
        ( ~ c2_1(X33)
        | c1_1(X33)
        | c3_1(X33) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f1316,plain,
    ( spl0_130
    | spl0_172
    | ~ spl0_39
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1295,f912,f423,f1313,f902]) ).

fof(f1295,plain,
    ( c1_1(a134)
    | c3_1(a134)
    | ~ spl0_39
    | ~ spl0_132 ),
    inference(resolution,[],[f424,f914]) ).

fof(f1310,plain,
    ( spl0_171
    | spl0_154
    | ~ spl0_39
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1292,f1040,f423,f1030,f1307]) ).

fof(f1292,plain,
    ( c1_1(a123)
    | c3_1(a123)
    | ~ spl0_39
    | ~ spl0_156 ),
    inference(resolution,[],[f424,f1042]) ).

fof(f1273,plain,
    ( spl0_161
    | spl0_118
    | ~ spl0_40
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1142,f843,f427,f838,f1097]) ).

fof(f838,plain,
    ( spl0_118
  <=> c1_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1142,plain,
    ( c1_1(a142)
    | c2_1(a142)
    | ~ spl0_40
    | ~ spl0_119 ),
    inference(resolution,[],[f428,f845]) ).

fof(f1245,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_42
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1231,f688,f435,f683,f678]) ).

fof(f678,plain,
    ( spl0_88
  <=> c2_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f683,plain,
    ( spl0_89
  <=> c1_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f688,plain,
    ( spl0_90
  <=> c0_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1231,plain,
    ( c1_1(a176)
    | c2_1(a176)
    | ~ spl0_42
    | ~ spl0_90 ),
    inference(resolution,[],[f436,f690]) ).

fof(f690,plain,
    ( c0_1(a176)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f1244,plain,
    ( spl0_169
    | spl0_113
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1229,f816,f435,f811,f1241]) ).

fof(f816,plain,
    ( spl0_114
  <=> c0_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1229,plain,
    ( c1_1(a147)
    | c2_1(a147)
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(resolution,[],[f436,f818]) ).

fof(f818,plain,
    ( c0_1(a147)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f1239,plain,
    ( spl0_125
    | spl0_168
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1228,f880,f435,f1236,f875]) ).

fof(f1228,plain,
    ( c1_1(a140)
    | c2_1(a140)
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(resolution,[],[f436,f882]) ).

fof(f882,plain,
    ( c0_1(a140)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1224,plain,
    ( spl0_133
    | spl0_167
    | ~ spl0_40
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1218,f928,f427,f1221,f918]) ).

fof(f1218,plain,
    ( c1_1(a132)
    | c2_1(a132)
    | ~ spl0_40
    | ~ spl0_135 ),
    inference(resolution,[],[f930,f428]) ).

fof(f1217,plain,
    ( ~ spl0_164
    | spl0_80
    | ~ spl0_45
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1211,f640,f448,f635,f1178]) ).

fof(f1178,plain,
    ( spl0_164
  <=> c2_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1211,plain,
    ( c0_1(a189)
    | ~ c2_1(a189)
    | ~ spl0_45
    | ~ spl0_81 ),
    inference(resolution,[],[f449,f642]) ).

fof(f642,plain,
    ( c3_1(a189)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f1216,plain,
    ( ~ spl0_117
    | spl0_163
    | ~ spl0_45
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1209,f827,f448,f1136,f832]) ).

fof(f1209,plain,
    ( c0_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_45
    | ~ spl0_116 ),
    inference(resolution,[],[f449,f829]) ).

fof(f1214,plain,
    ( ~ spl0_149
    | spl0_148
    | ~ spl0_45
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1206,f1184,f448,f998,f1003]) ).

fof(f1184,plain,
    ( spl0_165
  <=> c3_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1206,plain,
    ( c0_1(a125)
    | ~ c2_1(a125)
    | ~ spl0_45
    | ~ spl0_165 ),
    inference(resolution,[],[f449,f1186]) ).

fof(f1186,plain,
    ( c3_1(a125)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1189,plain,
    ( ~ spl0_152
    | spl0_151
    | ~ spl0_23
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1188,f1024,f345,f1014,f1019]) ).

fof(f1019,plain,
    ( spl0_152
  <=> c2_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1014,plain,
    ( spl0_151
  <=> c3_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1024,plain,
    ( spl0_153
  <=> c1_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1188,plain,
    ( c3_1(a124)
    | ~ c2_1(a124)
    | ~ spl0_23
    | ~ spl0_153 ),
    inference(resolution,[],[f1026,f346]) ).

fof(f1026,plain,
    ( c1_1(a124)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1187,plain,
    ( ~ spl0_149
    | spl0_165
    | ~ spl0_23
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1182,f1008,f345,f1184,f1003]) ).

fof(f1182,plain,
    ( c3_1(a125)
    | ~ c2_1(a125)
    | ~ spl0_23
    | ~ spl0_150 ),
    inference(resolution,[],[f1010,f346]) ).

fof(f1181,plain,
    ( spl0_164
    | spl0_79
    | ~ spl0_40
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1175,f640,f427,f630,f1178]) ).

fof(f1175,plain,
    ( c1_1(a189)
    | c2_1(a189)
    | ~ spl0_40
    | ~ spl0_81 ),
    inference(resolution,[],[f642,f428]) ).

fof(f1174,plain,
    ( spl0_88
    | ~ spl0_40
    | ~ spl0_43
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1170,f683,f439,f427,f678]) ).

fof(f1170,plain,
    ( c2_1(a176)
    | ~ spl0_40
    | ~ spl0_43
    | spl0_89 ),
    inference(resolution,[],[f1162,f685]) ).

fof(f685,plain,
    ( ~ c1_1(a176)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1162,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_40
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1149]) ).

fof(f1149,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_40
    | ~ spl0_43 ),
    inference(resolution,[],[f440,f428]) ).

fof(f1148,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1144,f752,f427,f747,f742]) ).

fof(f742,plain,
    ( spl0_100
  <=> c2_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f747,plain,
    ( spl0_101
  <=> c1_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f752,plain,
    ( spl0_102
  <=> c3_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1144,plain,
    ( c1_1(a160)
    | c2_1(a160)
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(resolution,[],[f428,f754]) ).

fof(f754,plain,
    ( c3_1(a160)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f1139,plain,
    ( ~ spl0_163
    | spl0_115
    | ~ spl0_37
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1129,f827,f412,f822,f1136]) ).

fof(f412,plain,
    ( spl0_37
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1129,plain,
    ( c1_1(a143)
    | ~ c0_1(a143)
    | ~ spl0_37
    | ~ spl0_116 ),
    inference(resolution,[],[f413,f829]) ).

fof(f413,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f1134,plain,
    ( ~ spl0_120
    | spl0_118
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1128,f843,f412,f838,f848]) ).

fof(f1128,plain,
    ( c1_1(a142)
    | ~ c0_1(a142)
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(resolution,[],[f413,f845]) ).

fof(f1126,plain,
    ( ~ spl0_117
    | spl0_115
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1120,f827,f406,f822,f832]) ).

fof(f406,plain,
    ( spl0_36
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c2_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1120,plain,
    ( c1_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f407,f829]) ).

fof(f407,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c2_1(X23) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f1125,plain,
    ( ~ spl0_161
    | spl0_118
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1119,f843,f406,f838,f1097]) ).

fof(f1119,plain,
    ( c1_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(resolution,[],[f407,f845]) ).

fof(f1118,plain,
    ( ~ spl0_129
    | spl0_127
    | ~ spl0_31
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1117,f1080,f382,f886,f896]) ).

fof(f896,plain,
    ( spl0_129
  <=> c0_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f886,plain,
    ( spl0_127
  <=> c2_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1080,plain,
    ( spl0_160
  <=> c3_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1117,plain,
    ( c2_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_31
    | ~ spl0_160 ),
    inference(resolution,[],[f1082,f383]) ).

fof(f1082,plain,
    ( c3_1(a138)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1116,plain,
    ( spl0_160
    | spl0_127
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1115,f891,f400,f886,f1080]) ).

fof(f891,plain,
    ( spl0_128
  <=> c1_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1115,plain,
    ( c2_1(a138)
    | c3_1(a138)
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(resolution,[],[f401,f893]) ).

fof(f893,plain,
    ( c1_1(a138)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f1106,plain,
    ( ~ spl0_129
    | spl0_127
    | ~ spl0_33
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1105,f891,f391,f886,f896]) ).

fof(f1105,plain,
    ( c2_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_33
    | ~ spl0_128 ),
    inference(resolution,[],[f392,f893]) ).

fof(f1101,plain,
    ( ~ spl0_159
    | spl0_97
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1093,f731,f382,f726,f1063]) ).

fof(f1093,plain,
    ( c2_1(a164)
    | ~ c0_1(a164)
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(resolution,[],[f383,f733]) ).

fof(f1089,plain,
    ( ~ spl0_99
    | spl0_97
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1086,f731,f372,f726,f736]) ).

fof(f1086,plain,
    ( c2_1(a164)
    | ~ c1_1(a164)
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(resolution,[],[f373,f733]) ).

fof(f1068,plain,
    ( ~ spl0_65
    | ~ spl0_66
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1061,f550,f320,f560,f555]) ).

fof(f555,plain,
    ( spl0_65
  <=> c1_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1061,plain,
    ( ~ c0_1(a167)
    | ~ c1_1(a167)
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(resolution,[],[f321,f552]) ).

fof(f1066,plain,
    ( ~ spl0_99
    | ~ spl0_159
    | ~ spl0_17
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1059,f731,f320,f1063,f736]) ).

fof(f1059,plain,
    ( ~ c0_1(a164)
    | ~ c1_1(a164)
    | ~ spl0_17
    | ~ spl0_98 ),
    inference(resolution,[],[f321,f733]) ).

fof(f1052,plain,
    ( ~ spl0_157
    | ~ spl0_65
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1045,f550,f315,f555,f1049]) ).

fof(f1045,plain,
    ( ~ c1_1(a167)
    | ~ c2_1(a167)
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(resolution,[],[f316,f552]) ).

fof(f1043,plain,
    ( ~ spl0_38
    | spl0_156 ),
    inference(avatar_split_clause,[],[f8,f1040,f415]) ).

fof(f415,plain,
    ( spl0_38
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f8,plain,
    ( c2_1(a123)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp8
      | hskp19
      | hskp2 )
    & ( hskp13
      | hskp19
      | hskp12 )
    & ( hskp15
      | hskp20
      | hskp26 )
    & ( hskp6
      | hskp20
      | hskp21 )
    & ( hskp15
      | hskp3
      | hskp27 )
    & ( hskp6
      | hskp9
      | hskp30 )
    & ( hskp13
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp9
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp2
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp22
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp7
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp17
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp25
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp1
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp9
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp15
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp22
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c1_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp0
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp21
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp30
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp2
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp0
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp17
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | c2_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp10
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp14
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ~ c0_1(X77)
          | c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp9
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X89] :
          ( ~ c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c2_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c1_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X102] :
          ( ~ c2_1(X102)
          | ~ c0_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X107] :
          ( ~ c1_1(X107)
          | c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X109] :
          ( ~ c1_1(X109)
          | c3_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c1_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X116] :
          ( ~ c2_1(X116)
          | c3_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | c3_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | c2_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X121] :
          ( ~ c3_1(X121)
          | c2_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c1_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c3_1(X124)
          | ~ c1_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c3_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c2_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a167)
        & c1_1(a167)
        & c0_1(a167)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a136)
        & c1_1(a136)
        & c0_1(a136)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a133)
        & c2_1(a133)
        & c1_1(a133)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a122)
        & c2_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a225)
        & c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a189)
        & ~ c0_1(a189)
        & c3_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a179)
        & ~ c1_1(a179)
        & c2_1(a179)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a176)
        & ~ c1_1(a176)
        & c0_1(a176)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a168)
        & ~ c0_1(a168)
        & c1_1(a168)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a164)
        & c3_1(a164)
        & c1_1(a164)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a155)
        & ~ c0_1(a155)
        & c1_1(a155)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a154)
        & c3_1(a154)
        & c1_1(a154)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a153)
        & c3_1(a153)
        & c2_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & c0_1(a147)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a143)
        & c3_1(a143)
        & c2_1(a143)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a142)
        & c3_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a138)
        & c1_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a134)
        & ~ c0_1(a134)
        & c2_1(a134)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a131)
        & ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a130)
        & ~ c1_1(a130)
        & ~ c0_1(a130)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a127)
        & ~ c2_1(a127)
        & c1_1(a127)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a125)
        & c2_1(a125)
        & c1_1(a125)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a124)
        & c2_1(a124)
        & c1_1(a124)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a123)
        & ~ c0_1(a123)
        & c2_1(a123)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp8
      | hskp19
      | hskp2 )
    & ( hskp13
      | hskp19
      | hskp12 )
    & ( hskp15
      | hskp20
      | hskp26 )
    & ( hskp6
      | hskp20
      | hskp21 )
    & ( hskp15
      | hskp3
      | hskp27 )
    & ( hskp6
      | hskp9
      | hskp30 )
    & ( hskp13
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp9
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp2
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp22
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp7
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp17
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp25
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp1
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp9
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp15
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp22
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c1_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp0
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp21
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp30
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp2
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp0
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp17
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | c2_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp10
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp14
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ~ c0_1(X77)
          | c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp9
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X89] :
          ( ~ c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c2_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c2_1(X97)
          | ~ c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c1_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X102] :
          ( ~ c2_1(X102)
          | ~ c0_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X107] :
          ( ~ c1_1(X107)
          | c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X109] :
          ( ~ c1_1(X109)
          | c3_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c1_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X116] :
          ( ~ c2_1(X116)
          | c3_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | c3_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | c2_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X121] :
          ( ~ c3_1(X121)
          | c2_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c1_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c3_1(X124)
          | ~ c1_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c3_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c2_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a167)
        & c1_1(a167)
        & c0_1(a167)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a136)
        & c1_1(a136)
        & c0_1(a136)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a133)
        & c2_1(a133)
        & c1_1(a133)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a122)
        & c2_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a225)
        & c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a189)
        & ~ c0_1(a189)
        & c3_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a179)
        & ~ c1_1(a179)
        & c2_1(a179)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a176)
        & ~ c1_1(a176)
        & c0_1(a176)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a168)
        & ~ c0_1(a168)
        & c1_1(a168)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a164)
        & c3_1(a164)
        & c1_1(a164)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a155)
        & ~ c0_1(a155)
        & c1_1(a155)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a154)
        & c3_1(a154)
        & c1_1(a154)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a153)
        & c3_1(a153)
        & c2_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & c0_1(a147)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a143)
        & c3_1(a143)
        & c2_1(a143)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a142)
        & c3_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a138)
        & c1_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a134)
        & ~ c0_1(a134)
        & c2_1(a134)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a131)
        & ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a130)
        & ~ c1_1(a130)
        & ~ c0_1(a130)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a127)
        & ~ c2_1(a127)
        & c1_1(a127)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a125)
        & c2_1(a125)
        & c1_1(a125)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a124)
        & c2_1(a124)
        & c1_1(a124)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a123)
        & ~ c0_1(a123)
        & c2_1(a123)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp8
      | hskp19
      | hskp2 )
    & ( hskp13
      | hskp19
      | hskp12 )
    & ( hskp15
      | hskp20
      | hskp26 )
    & ( hskp6
      | hskp20
      | hskp21 )
    & ( hskp15
      | hskp3
      | hskp27 )
    & ( hskp6
      | hskp9
      | hskp30 )
    & ( hskp13
      | hskp3
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp8
      | hskp9
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp19
      | hskp2
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp22
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp25
      | hskp14
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp23
      | hskp14
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp22
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp24
      | hskp7
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp11
      | hskp12
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp13
      | hskp15
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp24
      | hskp17
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp13
      | hskp17
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp6
      | hskp25
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp3
      | hskp1
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp18
      | hskp10
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp22
      | hskp9
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp24
      | hskp15
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp9
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | c3_1(X22)
            | c2_1(X22) ) ) )
    & ( hskp23
      | hskp8
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp7
      | hskp22
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | c1_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c1_1(X25)
            | ~ c0_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c1_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp7
      | hskp0
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp15
      | hskp3
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp6
      | hskp21
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp7
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp20
      | hskp30
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp6
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c2_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c0_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c3_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp17
      | hskp19
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp16
      | hskp2
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp12
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | ~ c0_1(X41)
            | c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp18
      | hskp0
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp7
      | hskp29
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp0
      | hskp17
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | c2_1(X56)
            | c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp16
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | ~ c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp15
      | hskp10
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp7
      | hskp14
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp12
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c0_1(X65)
            | c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp29
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c2_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp14
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp3
      | hskp28
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp28
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c0_1(X75)
            | c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp13
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c2_1(X77)
            | c1_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp12
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp11
      | hskp10
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp7
      | hskp9
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp7
      | hskp29
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp8
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | hskp28
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp7
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | ~ c0_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp6
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c2_1(X95)
            | c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c1_1(X97)
            | c3_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp5
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c1_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( hskp27
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | ~ c0_1(X102)
            | c3_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c0_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp4
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | c2_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp3
      | ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | c3_1(X109)
            | c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp1
      | ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | ~ c0_1(X112)
            | c3_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp0
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | c3_1(X114)
            | c2_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp27
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | c3_1(X116)
            | c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c0_1(X118)
            | c3_1(X118)
            | c2_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | c2_1(X119)
            | c0_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | c2_1(X121)
            | c0_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c1_1(X122)
            | c2_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c3_1(X124)
            | ~ c1_1(X124)
            | c2_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c3_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) )
      | ! [X126] :
          ( ndr1_0
         => ( c2_1(X126)
            | c1_1(X126)
            | c0_1(X126) ) ) )
    & ( ( c3_1(a167)
        & c1_1(a167)
        & c0_1(a167)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a136)
        & c1_1(a136)
        & c0_1(a136)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a133)
        & c2_1(a133)
        & c1_1(a133)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a122)
        & c2_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a225)
        & c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a189)
        & ~ c0_1(a189)
        & c3_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a179)
        & ~ c1_1(a179)
        & c2_1(a179)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a176)
        & ~ c1_1(a176)
        & c0_1(a176)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a168)
        & ~ c0_1(a168)
        & c1_1(a168)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a164)
        & c3_1(a164)
        & c1_1(a164)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a155)
        & ~ c0_1(a155)
        & c1_1(a155)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a154)
        & c3_1(a154)
        & c1_1(a154)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a153)
        & c3_1(a153)
        & c2_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & c0_1(a147)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a143)
        & c3_1(a143)
        & c2_1(a143)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a142)
        & c3_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a138)
        & c1_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a134)
        & ~ c0_1(a134)
        & c2_1(a134)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a131)
        & ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a130)
        & ~ c1_1(a130)
        & ~ c0_1(a130)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a127)
        & ~ c2_1(a127)
        & c1_1(a127)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a125)
        & c2_1(a125)
        & c1_1(a125)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a124)
        & c2_1(a124)
        & c1_1(a124)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a123)
        & ~ c0_1(a123)
        & c2_1(a123)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp8
          | hskp19
          | hskp2 )
        & ( hskp13
          | hskp19
          | hskp12 )
        & ( hskp15
          | hskp20
          | hskp26 )
        & ( hskp6
          | hskp20
          | hskp21 )
        & ( hskp15
          | hskp3
          | hskp27 )
        & ( hskp6
          | hskp9
          | hskp30 )
        & ( hskp13
          | hskp3
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp8
          | hskp9
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp19
          | hskp2
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp22
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp25
          | hskp14
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp23
          | hskp14
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp22
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp19
          | hskp27
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp24
          | hskp7
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp11
          | hskp12
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp13
          | hskp15
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp24
          | hskp17
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp13
          | hskp17
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp6
          | hskp25
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp3
          | hskp1
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp18
          | hskp10
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp22
          | hskp9
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp24
          | hskp15
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp9
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | c3_1(X22)
                | c2_1(X22) ) ) )
        & ( hskp23
          | hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp7
          | hskp22
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | c1_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c1_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp7
          | hskp0
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp15
          | hskp3
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp6
          | hskp21
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp7
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp20
          | hskp30
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp17
          | hskp19
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp16
          | hskp2
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp12
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp18
          | hskp0
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | hskp29
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp0
          | hskp17
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp16
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp15
          | hskp10
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp7
          | hskp14
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp12
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp29
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp14
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | hskp28
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp28
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp13
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp12
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp11
          | hskp10
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp7
          | hskp9
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp7
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp8
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | hskp28
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp7
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp6
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c2_1(X95)
                | c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp5
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( hskp27
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp4
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c2_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp3
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp1
          | hskp2
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp1
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp0
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp27
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | c3_1(X116)
                | c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | c3_1(X118)
                | c2_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | c2_1(X119)
                | c0_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | c2_1(X121)
                | c0_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | c2_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c1_1(X124)
                | c2_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c3_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) )
          | ! [X126] :
              ( ndr1_0
             => ( c2_1(X126)
                | c1_1(X126)
                | c0_1(X126) ) ) )
        & ( ( c3_1(a167)
            & c1_1(a167)
            & c0_1(a167)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a136)
            & c1_1(a136)
            & c0_1(a136)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a133)
            & c2_1(a133)
            & c1_1(a133)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a122)
            & c2_1(a122)
            & c0_1(a122)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a225)
            & c2_1(a225)
            & c0_1(a225)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a189)
            & ~ c0_1(a189)
            & c3_1(a189)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a182)
            & ~ c2_1(a182)
            & ~ c0_1(a182)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a179)
            & ~ c1_1(a179)
            & c2_1(a179)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a176)
            & ~ c1_1(a176)
            & c0_1(a176)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a170)
            & c2_1(a170)
            & c0_1(a170)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a168)
            & ~ c0_1(a168)
            & c1_1(a168)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a164)
            & c3_1(a164)
            & c1_1(a164)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a160)
            & ~ c1_1(a160)
            & c3_1(a160)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a155)
            & ~ c0_1(a155)
            & c1_1(a155)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a154)
            & c3_1(a154)
            & c1_1(a154)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a153)
            & c3_1(a153)
            & c2_1(a153)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a147)
            & ~ c1_1(a147)
            & c0_1(a147)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a143)
            & c3_1(a143)
            & c2_1(a143)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a142)
            & c3_1(a142)
            & c0_1(a142)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a141)
            & ~ c2_1(a141)
            & ~ c1_1(a141)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a140)
            & ~ c2_1(a140)
            & c0_1(a140)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a138)
            & c1_1(a138)
            & c0_1(a138)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a134)
            & ~ c0_1(a134)
            & c2_1(a134)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a132)
            & ~ c0_1(a132)
            & c3_1(a132)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a131)
            & ~ c1_1(a131)
            & ~ c0_1(a131)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a130)
            & ~ c1_1(a130)
            & ~ c0_1(a130)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a128)
            & c1_1(a128)
            & c0_1(a128)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a127)
            & ~ c2_1(a127)
            & c1_1(a127)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a125)
            & c2_1(a125)
            & c1_1(a125)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a124)
            & c2_1(a124)
            & c1_1(a124)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a123)
            & ~ c0_1(a123)
            & c2_1(a123)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp8
          | hskp19
          | hskp2 )
        & ( hskp13
          | hskp19
          | hskp12 )
        & ( hskp15
          | hskp20
          | hskp26 )
        & ( hskp6
          | hskp20
          | hskp21 )
        & ( hskp15
          | hskp3
          | hskp27 )
        & ( hskp6
          | hskp9
          | hskp30 )
        & ( hskp13
          | hskp3
          | ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c2_1(X126)
                | ~ c1_1(X126) ) ) )
        & ( hskp8
          | hskp9
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp19
          | hskp2
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c1_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp10
          | hskp22
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp25
          | hskp14
          | ! [X122] :
              ( ndr1_0
             => ( ~ c2_1(X122)
                | ~ c1_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp23
          | hskp14
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | c3_1(X121) ) ) )
        & ( hskp22
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp19
          | hskp27
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c1_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp24
          | hskp7
          | ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp11
          | hskp12
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp13
          | hskp15
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp24
          | hskp17
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp13
          | hskp17
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp6
          | hskp25
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp3
          | hskp1
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c0_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp18
          | hskp10
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp22
          | hskp9
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c0_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp24
          | hskp15
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | c3_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp9
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp23
          | hskp8
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp7
          | hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp7
          | hskp0
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp15
          | hskp3
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp6
          | hskp21
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp7
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp20
          | hskp30
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp6
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c2_1(X91)
                | c1_1(X91) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp17
          | hskp19
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp16
          | hskp2
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp12
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp18
          | hskp0
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp7
          | hskp29
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp0
          | hskp17
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp16
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp15
          | hskp10
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp7
          | hskp14
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp29
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp3
          | hskp28
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp28
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp12
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c0_1(X45)
                | c2_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp11
          | hskp10
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp7
          | hskp9
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp7
          | hskp29
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp8
          | hskp28
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c1_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp7
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c1_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp5
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp27
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c0_1(X24)
                | c3_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp3
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp1
          | hskp2
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp1
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp0
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp27
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | c2_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a167)
            & c1_1(a167)
            & c0_1(a167)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a136)
            & c1_1(a136)
            & c0_1(a136)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a133)
            & c2_1(a133)
            & c1_1(a133)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a122)
            & c2_1(a122)
            & c0_1(a122)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a225)
            & c2_1(a225)
            & c0_1(a225)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a189)
            & ~ c0_1(a189)
            & c3_1(a189)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a182)
            & ~ c2_1(a182)
            & ~ c0_1(a182)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a179)
            & ~ c1_1(a179)
            & c2_1(a179)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a176)
            & ~ c1_1(a176)
            & c0_1(a176)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a170)
            & c2_1(a170)
            & c0_1(a170)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a168)
            & ~ c0_1(a168)
            & c1_1(a168)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a164)
            & c3_1(a164)
            & c1_1(a164)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a160)
            & ~ c1_1(a160)
            & c3_1(a160)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a155)
            & ~ c0_1(a155)
            & c1_1(a155)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a154)
            & c3_1(a154)
            & c1_1(a154)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a153)
            & c3_1(a153)
            & c2_1(a153)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a147)
            & ~ c1_1(a147)
            & c0_1(a147)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a143)
            & c3_1(a143)
            & c2_1(a143)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a142)
            & c3_1(a142)
            & c0_1(a142)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a141)
            & ~ c2_1(a141)
            & ~ c1_1(a141)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a140)
            & ~ c2_1(a140)
            & c0_1(a140)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a138)
            & c1_1(a138)
            & c0_1(a138)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a134)
            & ~ c0_1(a134)
            & c2_1(a134)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a132)
            & ~ c0_1(a132)
            & c3_1(a132)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a131)
            & ~ c1_1(a131)
            & ~ c0_1(a131)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a130)
            & ~ c1_1(a130)
            & ~ c0_1(a130)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a128)
            & c1_1(a128)
            & c0_1(a128)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a127)
            & ~ c2_1(a127)
            & c1_1(a127)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a125)
            & c2_1(a125)
            & c1_1(a125)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a124)
            & c2_1(a124)
            & c1_1(a124)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a123)
            & ~ c0_1(a123)
            & c2_1(a123)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp8
        | hskp19
        | hskp2 )
      & ( hskp13
        | hskp19
        | hskp12 )
      & ( hskp15
        | hskp20
        | hskp26 )
      & ( hskp6
        | hskp20
        | hskp21 )
      & ( hskp15
        | hskp3
        | hskp27 )
      & ( hskp6
        | hskp9
        | hskp30 )
      & ( hskp13
        | hskp3
        | ! [X126] :
            ( ndr1_0
           => ( ~ c3_1(X126)
              | ~ c2_1(X126)
              | ~ c1_1(X126) ) ) )
      & ( hskp8
        | hskp9
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp19
        | hskp2
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c1_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp10
        | hskp22
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp25
        | hskp14
        | ! [X122] :
            ( ndr1_0
           => ( ~ c2_1(X122)
              | ~ c1_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp23
        | hskp14
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | c3_1(X121) ) ) )
      & ( hskp22
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp19
        | hskp27
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c1_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp24
        | hskp7
        | ! [X118] :
            ( ndr1_0
           => ( ~ c1_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp11
        | hskp12
        | ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp13
        | hskp15
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp24
        | hskp17
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp13
        | hskp17
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c1_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp6
        | hskp25
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp3
        | hskp1
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c0_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp18
        | hskp10
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp22
        | hskp9
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | ~ c0_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp24
        | hskp15
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | ~ c1_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | c3_1(X107) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp9
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp23
        | hskp8
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp7
        | hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | ~ c1_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp7
        | hskp0
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp15
        | hskp3
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp6
        | hskp21
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp7
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp20
        | hskp30
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp6
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | c2_1(X91)
              | c1_1(X91) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp17
        | hskp19
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp16
        | hskp2
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | c2_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp12
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp18
        | hskp0
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c0_1(X83) ) ) )
      & ( hskp7
        | hskp29
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c0_1(X79) ) ) )
      & ( hskp0
        | hskp17
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | c0_1(X78) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | ~ c1_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c1_1(X75)
              | c0_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c0_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c1_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp16
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | ~ c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c3_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c1_1(X65)
              | c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c3_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp15
        | hskp10
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp7
        | hskp14
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp12
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | c2_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp29
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | c0_1(X58) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp14
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp3
        | hskp28
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp28
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c0_1(X51)
              | c3_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp13
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp12
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c0_1(X45)
              | c2_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp11
        | hskp10
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp7
        | hskp9
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp7
        | hskp29
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c2_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp8
        | hskp28
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c1_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp7
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c1_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp6
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c1_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp5
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c1_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp27
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c0_1(X24)
              | c3_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | ~ c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c0_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp4
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp3
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp1
        | hskp2
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp1
        | ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c0_1(X14)
              | c3_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp0
        | ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | c3_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp27
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c3_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | c3_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c1_1(X7)
              | c2_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | c2_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c1_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a167)
          & c1_1(a167)
          & c0_1(a167)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a136)
          & c1_1(a136)
          & c0_1(a136)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a133)
          & c2_1(a133)
          & c1_1(a133)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a122)
          & c2_1(a122)
          & c0_1(a122)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a225)
          & c2_1(a225)
          & c0_1(a225)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a189)
          & ~ c0_1(a189)
          & c3_1(a189)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a182)
          & ~ c2_1(a182)
          & ~ c0_1(a182)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a179)
          & ~ c1_1(a179)
          & c2_1(a179)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a176)
          & ~ c1_1(a176)
          & c0_1(a176)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a170)
          & c2_1(a170)
          & c0_1(a170)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a168)
          & ~ c0_1(a168)
          & c1_1(a168)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a164)
          & c3_1(a164)
          & c1_1(a164)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a160)
          & ~ c1_1(a160)
          & c3_1(a160)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a155)
          & ~ c0_1(a155)
          & c1_1(a155)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c0_1(a154)
          & c3_1(a154)
          & c1_1(a154)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a153)
          & c3_1(a153)
          & c2_1(a153)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a147)
          & ~ c1_1(a147)
          & c0_1(a147)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a143)
          & c3_1(a143)
          & c2_1(a143)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a142)
          & c3_1(a142)
          & c0_1(a142)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a141)
          & ~ c2_1(a141)
          & ~ c1_1(a141)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a140)
          & ~ c2_1(a140)
          & c0_1(a140)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a138)
          & c1_1(a138)
          & c0_1(a138)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a134)
          & ~ c0_1(a134)
          & c2_1(a134)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a132)
          & ~ c0_1(a132)
          & c3_1(a132)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a131)
          & ~ c1_1(a131)
          & ~ c0_1(a131)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a130)
          & ~ c1_1(a130)
          & ~ c0_1(a130)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a128)
          & c1_1(a128)
          & c0_1(a128)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a127)
          & ~ c2_1(a127)
          & c1_1(a127)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c0_1(a125)
          & c2_1(a125)
          & c1_1(a125)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a124)
          & c2_1(a124)
          & c1_1(a124)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a123)
          & ~ c0_1(a123)
          & c2_1(a123)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.YiqiKjPXcV/Vampire---4.8_16858',co1) ).

fof(f1038,plain,
    ( ~ spl0_38
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f9,f1035,f415]) ).

fof(f9,plain,
    ( ~ c0_1(a123)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1033,plain,
    ( ~ spl0_38
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f10,f1030,f415]) ).

fof(f10,plain,
    ( ~ c1_1(a123)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1027,plain,
    ( ~ spl0_32
    | spl0_153 ),
    inference(avatar_split_clause,[],[f12,f1024,f386]) ).

fof(f386,plain,
    ( spl0_32
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f12,plain,
    ( c1_1(a124)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1022,plain,
    ( ~ spl0_32
    | spl0_152 ),
    inference(avatar_split_clause,[],[f13,f1019,f386]) ).

fof(f13,plain,
    ( c2_1(a124)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1017,plain,
    ( ~ spl0_32
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f14,f1014,f386]) ).

fof(f14,plain,
    ( ~ c3_1(a124)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1012,plain,
    ( ~ spl0_1
    | spl0_15 ),
    inference(avatar_split_clause,[],[f15,f311,f249]) ).

fof(f249,plain,
    ( spl0_1
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f311,plain,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1011,plain,
    ( ~ spl0_1
    | spl0_150 ),
    inference(avatar_split_clause,[],[f16,f1008,f249]) ).

fof(f16,plain,
    ( c1_1(a125)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1006,plain,
    ( ~ spl0_1
    | spl0_149 ),
    inference(avatar_split_clause,[],[f17,f1003,f249]) ).

fof(f17,plain,
    ( c2_1(a125)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1001,plain,
    ( ~ spl0_1
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f18,f998,f249]) ).

fof(f18,plain,
    ( ~ c0_1(a125)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f995,plain,
    ( ~ spl0_12
    | spl0_147 ),
    inference(avatar_split_clause,[],[f20,f992,f297]) ).

fof(f297,plain,
    ( spl0_12
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f20,plain,
    ( c1_1(a127)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f990,plain,
    ( ~ spl0_12
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f21,f987,f297]) ).

fof(f21,plain,
    ( ~ c2_1(a127)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f985,plain,
    ( ~ spl0_12
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f22,f982,f297]) ).

fof(f22,plain,
    ( ~ c3_1(a127)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_10
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f32,f944,f288]) ).

fof(f288,plain,
    ( spl0_10
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f32,plain,
    ( ~ c0_1(a131)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_10
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f33,f939,f288]) ).

fof(f33,plain,
    ( ~ c1_1(a131)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_10
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f34,f934,f288]) ).

fof(f34,plain,
    ( ~ c2_1(a131)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f931,plain,
    ( ~ spl0_26
    | spl0_135 ),
    inference(avatar_split_clause,[],[f36,f928,f358]) ).

fof(f358,plain,
    ( spl0_26
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f36,plain,
    ( c3_1(a132)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f926,plain,
    ( ~ spl0_26
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f37,f923,f358]) ).

fof(f37,plain,
    ( ~ c0_1(a132)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_26
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f38,f918,f358]) ).

fof(f38,plain,
    ( ~ c2_1(a132)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f39,f311,f257]) ).

fof(f257,plain,
    ( spl0_3
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f915,plain,
    ( ~ spl0_3
    | spl0_132 ),
    inference(avatar_split_clause,[],[f40,f912,f257]) ).

fof(f40,plain,
    ( c2_1(a134)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_3
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f41,f907,f257]) ).

fof(f41,plain,
    ( ~ c0_1(a134)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_3
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f42,f902,f257]) ).

fof(f42,plain,
    ( ~ c3_1(a134)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_14
    | spl0_129 ),
    inference(avatar_split_clause,[],[f44,f896,f306]) ).

fof(f306,plain,
    ( spl0_14
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f44,plain,
    ( c0_1(a138)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_14
    | spl0_128 ),
    inference(avatar_split_clause,[],[f45,f891,f306]) ).

fof(f45,plain,
    ( c1_1(a138)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_14
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f46,f886,f306]) ).

fof(f46,plain,
    ( ~ c2_1(a138)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_19
    | spl0_126 ),
    inference(avatar_split_clause,[],[f48,f880,f328]) ).

fof(f328,plain,
    ( spl0_19
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f48,plain,
    ( c0_1(a140)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( ~ spl0_19
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f49,f875,f328]) ).

fof(f49,plain,
    ( ~ c2_1(a140)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_19
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f50,f870,f328]) ).

fof(f50,plain,
    ( ~ c3_1(a140)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_4
    | spl0_120 ),
    inference(avatar_split_clause,[],[f56,f848,f262]) ).

fof(f262,plain,
    ( spl0_4
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f56,plain,
    ( c0_1(a142)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_4
    | spl0_119 ),
    inference(avatar_split_clause,[],[f57,f843,f262]) ).

fof(f57,plain,
    ( c3_1(a142)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_4
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f58,f838,f262]) ).

fof(f58,plain,
    ( ~ c1_1(a142)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_5
    | spl0_117 ),
    inference(avatar_split_clause,[],[f60,f832,f266]) ).

fof(f266,plain,
    ( spl0_5
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f60,plain,
    ( c2_1(a143)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_5
    | spl0_116 ),
    inference(avatar_split_clause,[],[f61,f827,f266]) ).

fof(f61,plain,
    ( c3_1(a143)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_5
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f62,f822,f266]) ).

fof(f62,plain,
    ( ~ c1_1(a143)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f819,plain,
    ( ~ spl0_21
    | spl0_114 ),
    inference(avatar_split_clause,[],[f64,f816,f336]) ).

fof(f336,plain,
    ( spl0_21
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f64,plain,
    ( c0_1(a147)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_21
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f65,f811,f336]) ).

fof(f65,plain,
    ( ~ c1_1(a147)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_21
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f66,f806,f336]) ).

fof(f66,plain,
    ( ~ c3_1(a147)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_8
    | spl0_111 ),
    inference(avatar_split_clause,[],[f68,f800,f279]) ).

fof(f279,plain,
    ( spl0_8
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f68,plain,
    ( c2_1(a153)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_8
    | spl0_110 ),
    inference(avatar_split_clause,[],[f69,f795,f279]) ).

fof(f69,plain,
    ( c3_1(a153)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_8
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f70,f790,f279]) ).

fof(f70,plain,
    ( ~ c0_1(a153)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( ~ spl0_30
    | spl0_105 ),
    inference(avatar_split_clause,[],[f76,f768,f376]) ).

fof(f376,plain,
    ( spl0_30
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f76,plain,
    ( c1_1(a155)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f766,plain,
    ( ~ spl0_30
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f77,f763,f376]) ).

fof(f77,plain,
    ( ~ c0_1(a155)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_30
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f78,f758,f376]) ).

fof(f78,plain,
    ( ~ c2_1(a155)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( ~ spl0_34
    | spl0_102 ),
    inference(avatar_split_clause,[],[f80,f752,f394]) ).

fof(f394,plain,
    ( spl0_34
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f80,plain,
    ( c3_1(a160)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( ~ spl0_34
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f81,f747,f394]) ).

fof(f81,plain,
    ( ~ c1_1(a160)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_34
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f82,f742,f394]) ).

fof(f82,plain,
    ( ~ c2_1(a160)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_2
    | spl0_15 ),
    inference(avatar_split_clause,[],[f83,f311,f253]) ).

fof(f253,plain,
    ( spl0_2
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f83,plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( ~ spl0_2
    | spl0_99 ),
    inference(avatar_split_clause,[],[f84,f736,f253]) ).

fof(f84,plain,
    ( c1_1(a164)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( ~ spl0_2
    | spl0_98 ),
    inference(avatar_split_clause,[],[f85,f731,f253]) ).

fof(f85,plain,
    ( c3_1(a164)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_2
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f86,f726,f253]) ).

fof(f86,plain,
    ( ~ c2_1(a164)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_7
    | spl0_96 ),
    inference(avatar_split_clause,[],[f88,f720,f275]) ).

fof(f275,plain,
    ( spl0_7
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f88,plain,
    ( c1_1(a168)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f718,plain,
    ( ~ spl0_7
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f89,f715,f275]) ).

fof(f89,plain,
    ( ~ c0_1(a168)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_7
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f90,f710,f275]) ).

fof(f90,plain,
    ( ~ c3_1(a168)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_18
    | spl0_90 ),
    inference(avatar_split_clause,[],[f96,f688,f324]) ).

fof(f324,plain,
    ( spl0_18
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f96,plain,
    ( c0_1(a176)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_18
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f97,f683,f324]) ).

fof(f97,plain,
    ( ~ c1_1(a176)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_18
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f98,f678,f324]) ).

fof(f98,plain,
    ( ~ c2_1(a176)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_27
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f104,f656,f362]) ).

fof(f362,plain,
    ( spl0_27
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f104,plain,
    ( ~ c0_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( ~ spl0_27
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f105,f651,f362]) ).

fof(f105,plain,
    ( ~ c2_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_27
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f106,f646,f362]) ).

fof(f106,plain,
    ( ~ c3_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( ~ spl0_22
    | spl0_81 ),
    inference(avatar_split_clause,[],[f108,f640,f340]) ).

fof(f340,plain,
    ( spl0_22
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f108,plain,
    ( c3_1(a189)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( ~ spl0_22
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f109,f635,f340]) ).

fof(f109,plain,
    ( ~ c0_1(a189)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_22
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f110,f630,f340]) ).

fof(f110,plain,
    ( ~ c1_1(a189)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f579,plain,
    ( ~ spl0_46
    | spl0_69 ),
    inference(avatar_split_clause,[],[f124,f576,f452]) ).

fof(f452,plain,
    ( spl0_46
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f124,plain,
    ( c0_1(a136)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_46
    | spl0_68 ),
    inference(avatar_split_clause,[],[f125,f571,f452]) ).

fof(f125,plain,
    ( c1_1(a136)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_46
    | spl0_67 ),
    inference(avatar_split_clause,[],[f126,f566,f452]) ).

fof(f126,plain,
    ( c2_1(a136)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl0_13
    | spl0_66 ),
    inference(avatar_split_clause,[],[f128,f560,f302]) ).

fof(f302,plain,
    ( spl0_13
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f128,plain,
    ( c0_1(a167)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f558,plain,
    ( ~ spl0_13
    | spl0_65 ),
    inference(avatar_split_clause,[],[f129,f555,f302]) ).

fof(f129,plain,
    ( c1_1(a167)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( ~ spl0_13
    | spl0_64 ),
    inference(avatar_split_clause,[],[f130,f550,f302]) ).

fof(f130,plain,
    ( c3_1(a167)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_56
    | spl0_53
    | ~ spl0_15
    | spl0_23 ),
    inference(avatar_split_clause,[],[f222,f345,f311,f488,f507]) ).

fof(f222,plain,
    ! [X98,X99,X97] :
      ( ~ c2_1(X97)
      | ~ c1_1(X97)
      | c3_1(X97)
      | ~ ndr1_0
      | ~ c1_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ c3_1(X99)
      | c1_1(X99)
      | c0_1(X99) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X98,X99,X97] :
      ( ~ c2_1(X97)
      | ~ c1_1(X97)
      | c3_1(X97)
      | ~ ndr1_0
      | ~ c1_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ ndr1_0
      | ~ c3_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_56
    | spl0_40
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f223,f406,f311,f427,f507]) ).

fof(f223,plain,
    ! [X96,X94,X95] :
      ( ~ c3_1(X94)
      | ~ c2_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | c2_1(X95)
      | c1_1(X95)
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X96,X94,X95] :
      ( ~ c3_1(X94)
      | ~ c2_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | c2_1(X95)
      | c1_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( spl0_56
    | ~ spl0_15
    | spl0_37
    | spl0_10 ),
    inference(avatar_split_clause,[],[f224,f288,f412,f311,f507]) ).

fof(f224,plain,
    ! [X92,X93] :
      ( hskp6
      | ~ c3_1(X92)
      | ~ c0_1(X92)
      | c1_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X92,X93] :
      ( hskp6
      | ~ c3_1(X92)
      | ~ c0_1(X92)
      | c1_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( spl0_56
    | ~ spl0_15
    | spl0_33
    | spl0_26 ),
    inference(avatar_split_clause,[],[f225,f358,f391,f311,f507]) ).

fof(f225,plain,
    ! [X90,X91] :
      ( hskp7
      | ~ c1_1(X90)
      | ~ c0_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X90,X91] :
      ( hskp7
      | ~ c1_1(X90)
      | ~ c0_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( spl0_55
    | ~ spl0_15
    | spl0_41
    | spl0_3 ),
    inference(avatar_split_clause,[],[f226,f257,f430,f311,f500]) ).

fof(f226,plain,
    ! [X88,X87] :
      ( hskp8
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X88,X87] :
      ( hskp8
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | c3_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( ~ spl0_15
    | spl0_55
    | spl0_46
    | spl0_26 ),
    inference(avatar_split_clause,[],[f149,f358,f452,f500,f311]) ).

fof(f149,plain,
    ! [X86] :
      ( hskp7
      | hskp29
      | c3_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( ~ spl0_15
    | spl0_55
    | spl0_14
    | spl0_26 ),
    inference(avatar_split_clause,[],[f150,f358,f306,f500,f311]) ).

fof(f150,plain,
    ! [X85] :
      ( hskp7
      | hskp9
      | c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_53
    | spl0_51
    | ~ spl0_15
    | spl0_31 ),
    inference(avatar_split_clause,[],[f227,f382,f311,f476,f488]) ).

fof(f227,plain,
    ! [X82,X83,X81] :
      ( ~ c3_1(X81)
      | ~ c0_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X82,X83,X81] :
      ( ~ c3_1(X81)
      | ~ c0_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | c2_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_51
    | spl0_4 ),
    inference(avatar_split_clause,[],[f228,f262,f476,f311,f488]) ).

fof(f228,plain,
    ! [X80,X79] :
      ( hskp12
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X80,X79] :
      ( hskp12
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_42
    | spl0_5 ),
    inference(avatar_split_clause,[],[f229,f266,f435,f311,f488]) ).

fof(f229,plain,
    ! [X78,X77] :
      ( hskp13
      | ~ c0_1(X77)
      | c2_1(X77)
      | c1_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X78,X77] :
      ( hskp13
      | ~ c0_1(X77)
      | c2_1(X77)
      | c1_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_51
    | ~ spl0_15
    | spl0_49
    | spl0_21 ),
    inference(avatar_split_clause,[],[f231,f336,f466,f311,f476]) ).

fof(f231,plain,
    ! [X72,X73] :
      ( hskp14
      | ~ c2_1(X72)
      | c3_1(X72)
      | c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X72,X73] :
      ( hskp14
      | ~ c2_1(X72)
      | c3_1(X72)
      | c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_51
    | spl0_48
    | ~ spl0_15
    | spl0_42 ),
    inference(avatar_split_clause,[],[f232,f435,f311,f462,f476]) ).

fof(f232,plain,
    ! [X70,X71,X69] :
      ( ~ c0_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X70,X71,X69] :
      ( ~ c0_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_51
    | ~ spl0_15
    | spl0_35
    | spl0_46 ),
    inference(avatar_split_clause,[],[f233,f452,f400,f311,f476]) ).

fof(f233,plain,
    ! [X68,X67] :
      ( hskp29
      | ~ c1_1(X67)
      | c3_1(X67)
      | c2_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c2_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X68,X67] :
      ( hskp29
      | ~ c1_1(X67)
      | c3_1(X67)
      | c2_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_50
    | spl0_23
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f235,f430,f311,f345,f471]) ).

fof(f235,plain,
    ! [X62,X60,X61] :
      ( ~ c3_1(X60)
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c3_1(X61)
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X62,X60,X61] :
      ( ~ c3_1(X60)
      | ~ c2_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( spl0_49
    | spl0_40
    | ~ spl0_15
    | spl0_20 ),
    inference(avatar_split_clause,[],[f237,f333,f311,f427,f466]) ).

fof(f237,plain,
    ! [X56,X57,X55] :
      ( ~ c2_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | c2_1(X56)
      | c1_1(X56)
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X56,X57,X55] :
      ( ~ c2_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | c2_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( spl0_49
    | spl0_35
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f238,f372,f311,f400,f466]) ).

fof(f238,plain,
    ! [X54,X52,X53] :
      ( ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | c3_1(X53)
      | c2_1(X53)
      | ~ c2_1(X54)
      | c3_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X54,X52,X53] :
      ( ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | c3_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c3_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( spl0_45
    | spl0_42
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_split_clause,[],[f240,f320,f311,f435,f448]) ).

fof(f240,plain,
    ! [X46,X47,X45] :
      ( ~ c3_1(X45)
      | ~ c1_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X46,X47,X45] :
      ( ~ c3_1(X45)
      | ~ c1_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( ~ spl0_15
    | spl0_45
    | spl0_46
    | spl0_26 ),
    inference(avatar_split_clause,[],[f170,f358,f452,f448,f311]) ).

fof(f170,plain,
    ! [X44] :
      ( hskp7
      | hskp29
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_15
    | spl0_45
    | spl0_38
    | spl0_34 ),
    inference(avatar_split_clause,[],[f171,f394,f415,f448,f311]) ).

fof(f171,plain,
    ! [X43] :
      ( hskp18
      | hskp0
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_43
    | ~ spl0_15
    | spl0_25
    | spl0_4 ),
    inference(avatar_split_clause,[],[f241,f262,f355,f311,f439]) ).

fof(f241,plain,
    ! [X41,X42] :
      ( hskp12
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | c3_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X41,X42] :
      ( hskp12
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | c3_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_15
    | spl0_42
    | spl0_2
    | spl0_30 ),
    inference(avatar_split_clause,[],[f174,f376,f253,f435,f311]) ).

fof(f174,plain,
    ! [X39] :
      ( hskp17
      | hskp19
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( spl0_40
    | spl0_35
    | ~ spl0_15
    | spl0_31 ),
    inference(avatar_split_clause,[],[f242,f382,f311,f400,f427]) ).

fof(f242,plain,
    ! [X38,X36,X37] :
      ( ~ c3_1(X36)
      | ~ c0_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X37)
      | c3_1(X37)
      | c2_1(X37)
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X38,X36,X37] :
      ( ~ c3_1(X36)
      | ~ c0_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X37)
      | c3_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( spl0_40
    | ~ spl0_15
    | spl0_41
    | spl0_10 ),
    inference(avatar_split_clause,[],[f243,f288,f430,f311,f427]) ).

fof(f243,plain,
    ! [X34,X35] :
      ( hskp6
      | ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | c2_1(X35)
      | c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X34,X35] :
      ( hskp6
      | ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f425,plain,
    ( ~ spl0_15
    | spl0_39
    | spl0_13
    | spl0_7 ),
    inference(avatar_split_clause,[],[f177,f275,f302,f423,f311]) ).

fof(f177,plain,
    ! [X33] :
      ( hskp20
      | hskp30
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( spl0_37
    | ~ spl0_15
    | spl0_33
    | spl0_26 ),
    inference(avatar_split_clause,[],[f244,f358,f391,f311,f412]) ).

fof(f244,plain,
    ! [X31,X32] :
      ( hskp7
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X31,X32] :
      ( hskp7
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( ~ spl0_15
    | spl0_37
    | spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f180,f279,f297,f412,f311]) ).

fof(f180,plain,
    ! [X29] :
      ( hskp15
      | hskp3
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_15
    | spl0_37
    | spl0_38
    | spl0_26 ),
    inference(avatar_split_clause,[],[f181,f358,f415,f412,f311]) ).

fof(f181,plain,
    ! [X28] :
      ( hskp7
      | hskp0
      | ~ c3_1(X28)
      | ~ c0_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f410,plain,
    ( spl0_36
    | spl0_23
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_split_clause,[],[f245,f320,f311,f345,f406]) ).

fof(f245,plain,
    ! [X26,X27,X25] :
      ( ~ c3_1(X25)
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | c3_1(X26)
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X26,X27,X25] :
      ( ~ c3_1(X25)
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( ~ spl0_15
    | spl0_36
    | spl0_18
    | spl0_26 ),
    inference(avatar_split_clause,[],[f183,f358,f324,f406,f311]) ).

fof(f183,plain,
    ! [X24] :
      ( hskp7
      | hskp22
      | ~ c3_1(X24)
      | ~ c2_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( spl0_35
    | ~ spl0_15
    | spl0_25
    | spl0_14 ),
    inference(avatar_split_clause,[],[f246,f306,f355,f311,f400]) ).

fof(f246,plain,
    ! [X21,X22] :
      ( hskp9
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | c3_1(X22)
      | c2_1(X22) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X21,X22] :
      ( hskp9
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | c3_1(X22)
      | c2_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f402,plain,
    ( ~ spl0_15
    | spl0_35
    | spl0_8
    | spl0_27 ),
    inference(avatar_split_clause,[],[f187,f362,f279,f400,f311]) ).

fof(f187,plain,
    ! [X17] :
      ( hskp24
      | hskp15
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( ~ spl0_15
    | spl0_33
    | spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f188,f324,f306,f391,f311]) ).

fof(f188,plain,
    ! [X16] :
      ( hskp22
      | hskp9
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_32
    | spl0_12 ),
    inference(avatar_split_clause,[],[f190,f297,f386,f382,f311]) ).

fof(f190,plain,
    ! [X14] :
      ( hskp3
      | hskp1
      | ~ c3_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_22
    | spl0_10 ),
    inference(avatar_split_clause,[],[f191,f288,f340,f382,f311]) ).

fof(f191,plain,
    ! [X13] :
      ( hskp6
      | hskp25
      | ~ c3_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_15
    | spl0_29
    | spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f194,f266,f279,f372,f311]) ).

fof(f194,plain,
    ! [X10] :
      ( hskp13
      | hskp15
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f352,plain,
    ( ~ spl0_15
    | spl0_23
    | spl0_18 ),
    inference(avatar_split_clause,[],[f198,f324,f345,f311]) ).

fof(f198,plain,
    ! [X6] :
      ( hskp22
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f331,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f201,f328,f324,f320,f311]) ).

fof(f201,plain,
    ! [X3] :
      ( hskp10
      | hskp22
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f322,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f253,f249,f320,f311]) ).

fof(f202,plain,
    ! [X2] :
      ( hskp19
      | hskp2
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f318,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f257,f306,f315,f311]) ).

fof(f203,plain,
    ! [X1] :
      ( hskp8
      | hskp9
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f204,f266,f297,f315,f311]) ).

fof(f204,plain,
    ! [X0] :
      ( hskp13
      | hskp3
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f309,plain,
    ( spl0_13
    | spl0_14
    | spl0_10 ),
    inference(avatar_split_clause,[],[f205,f288,f306,f302]) ).

fof(f205,plain,
    ( hskp6
    | hskp9
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f269,plain,
    ( spl0_4
    | spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f209,f266,f253,f262]) ).

fof(f209,plain,
    ( hskp13
    | hskp19
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f260,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f210,f257,f253,f249]) ).

fof(f210,plain,
    ( hskp8
    | hskp19
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN499+1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34  % Computer : n010.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 17:27:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.YiqiKjPXcV/Vampire---4.8_16858
% 0.55/0.73  % (17122)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)
% 0.55/0.73  % (17127)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)
% 0.55/0.74  % (17121)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)
% 0.55/0.74  % (17123)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (17124)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)
% 0.55/0.74  % (17125)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)
% 0.55/0.74  % (17126)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)
% 0.57/0.75  % (17122)First to succeed.
% 0.57/0.75  % (17128)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)
% 0.57/0.75  % (17121)Instruction limit reached!
% 0.57/0.75  % (17121)------------------------------
% 0.57/0.75  % (17121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (17121)Termination reason: Unknown
% 0.57/0.75  % (17121)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (17121)Memory used [KB]: 2056
% 0.57/0.76  % (17121)Time elapsed: 0.021 s
% 0.57/0.76  % (17121)Instructions burned: 34 (million)
% 0.57/0.76  % (17121)------------------------------
% 0.57/0.76  % (17121)------------------------------
% 0.57/0.76  % (17124)Instruction limit reached!
% 0.57/0.76  % (17124)------------------------------
% 0.57/0.76  % (17124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (17124)Termination reason: Unknown
% 0.57/0.76  % (17124)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (17124)Memory used [KB]: 2272
% 0.57/0.76  % (17124)Time elapsed: 0.021 s
% 0.57/0.76  % (17124)Instructions burned: 34 (million)
% 0.57/0.76  % (17124)------------------------------
% 0.57/0.76  % (17124)------------------------------
% 0.57/0.76  % (17122)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17117"
% 0.57/0.76  % (17122)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Theorem for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (17122)------------------------------
% 0.57/0.76  % (17122)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (17122)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (17122)Memory used [KB]: 1907
% 0.57/0.76  % (17122)Time elapsed: 0.023 s
% 0.57/0.76  % (17122)Instructions burned: 59 (million)
% 0.57/0.76  % (17117)Success in time 0.397 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------