TSTP Solution File: SYN501+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN501+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 : Wed Aug 31 19:38:34 EDT 2022

% Result   : Theorem 2.23s 0.72s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  123
% Syntax   : Number of formulae    :  525 (   1 unt;   0 def)
%            Number of atoms       : 6129 (   0 equ)
%            Maximal formula atoms :  750 (  11 avg)
%            Number of connectives : 8139 (2535   ~;3804   |;1194   &)
%                                         ( 122 <=>; 484  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  158 ( 157 usr; 154 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  824 ( 824   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1833,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f228,f246,f258,f265,f271,f290,f308,f321,f370,f377,f386,f394,f411,f416,f423,f431,f436,f441,f450,f468,f478,f483,f487,f488,f493,f498,f509,f515,f517,f522,f527,f536,f541,f546,f561,f563,f568,f573,f578,f589,f599,f606,f615,f623,f633,f639,f644,f649,f650,f655,f664,f681,f686,f700,f701,f703,f719,f739,f748,f750,f755,f760,f765,f769,f770,f775,f780,f806,f807,f808,f811,f821,f826,f827,f833,f834,f846,f847,f848,f855,f857,f860,f865,f867,f873,f875,f880,f890,f901,f903,f931,f932,f933,f935,f947,f952,f957,f959,f964,f969,f974,f981,f986,f997,f1002,f1034,f1035,f1043,f1058,f1068,f1073,f1089,f1099,f1114,f1128,f1129,f1134,f1158,f1160,f1168,f1169,f1175,f1203,f1228,f1240,f1242,f1250,f1251,f1256,f1276,f1280,f1281,f1285,f1289,f1344,f1372,f1405,f1406,f1414,f1468,f1473,f1515,f1517,f1534,f1546,f1550,f1562,f1568,f1593,f1594,f1595,f1626,f1655,f1665,f1667,f1669,f1670,f1672,f1673,f1693,f1715,f1716,f1723,f1771,f1831,f1832]) ).

fof(f1832,plain,
    ( spl0_102
    | spl0_150
    | ~ spl0_89
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1825,f949,f613,f966,f678]) ).

fof(f678,plain,
    ( spl0_102
  <=> c0_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f966,plain,
    ( spl0_150
  <=> c3_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f613,plain,
    ( spl0_89
  <=> ! [X8] :
        ( c3_1(X8)
        | c0_1(X8)
        | ~ c2_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f949,plain,
    ( spl0_147
  <=> c2_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1825,plain,
    ( c3_1(a104)
    | c0_1(a104)
    | ~ spl0_89
    | ~ spl0_147 ),
    inference(resolution,[],[f614,f951]) ).

fof(f951,plain,
    ( c2_1(a104)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f614,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | c0_1(X8) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f1831,plain,
    ( spl0_179
    | spl0_87
    | ~ spl0_89
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1827,f928,f613,f603,f1590]) ).

fof(f1590,plain,
    ( spl0_179
  <=> c3_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f603,plain,
    ( spl0_87
  <=> c0_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f928,plain,
    ( spl0_144
  <=> c2_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1827,plain,
    ( c0_1(a108)
    | c3_1(a108)
    | ~ spl0_89
    | ~ spl0_144 ),
    inference(resolution,[],[f614,f930]) ).

fof(f930,plain,
    ( c2_1(a108)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f1771,plain,
    ( spl0_127
    | spl0_60
    | ~ spl0_49
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1764,f1200,f418,f465,f818]) ).

fof(f818,plain,
    ( spl0_127
  <=> c2_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f465,plain,
    ( spl0_60
  <=> c1_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f418,plain,
    ( spl0_49
  <=> ! [X72] :
        ( c2_1(X72)
        | c1_1(X72)
        | ~ c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1200,plain,
    ( spl0_171
  <=> c3_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1764,plain,
    ( c1_1(a122)
    | c2_1(a122)
    | ~ spl0_49
    | ~ spl0_171 ),
    inference(resolution,[],[f419,f1202]) ).

fof(f1202,plain,
    ( c3_1(a122)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f419,plain,
    ( ! [X72] :
        ( ~ c3_1(X72)
        | c1_1(X72)
        | c2_1(X72) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f1723,plain,
    ( spl0_94
    | spl0_134
    | ~ spl0_35
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1722,f1095,f361,f877,f641]) ).

fof(f641,plain,
    ( spl0_94
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f877,plain,
    ( spl0_134
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f361,plain,
    ( spl0_35
  <=> ! [X85] :
        ( c2_1(X85)
        | ~ c0_1(X85)
        | c1_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1095,plain,
    ( spl0_164
  <=> c0_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1722,plain,
    ( c2_1(a136)
    | c1_1(a136)
    | ~ spl0_35
    | ~ spl0_164 ),
    inference(resolution,[],[f1097,f362]) ).

fof(f362,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | c1_1(X85)
        | c2_1(X85) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f1097,plain,
    ( c0_1(a136)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1716,plain,
    ( spl0_164
    | spl0_134
    | ~ spl0_13
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1708,f641,f260,f877,f1095]) ).

fof(f260,plain,
    ( spl0_13
  <=> ! [X34] :
        ( c2_1(X34)
        | c1_1(X34)
        | c0_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1708,plain,
    ( c2_1(a136)
    | c0_1(a136)
    | ~ spl0_13
    | spl0_94 ),
    inference(resolution,[],[f261,f643]) ).

fof(f643,plain,
    ( ~ c1_1(a136)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f261,plain,
    ( ! [X34] :
        ( c1_1(X34)
        | c2_1(X34)
        | c0_1(X34) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f1715,plain,
    ( spl0_55
    | spl0_63
    | ~ spl0_13
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1702,f990,f260,f480,f443]) ).

fof(f443,plain,
    ( spl0_55
  <=> c0_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f480,plain,
    ( spl0_63
  <=> c2_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f990,plain,
    ( spl0_154
  <=> c1_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1702,plain,
    ( c2_1(a107)
    | c0_1(a107)
    | ~ spl0_13
    | spl0_154 ),
    inference(resolution,[],[f261,f991]) ).

fof(f991,plain,
    ( ~ c1_1(a107)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1693,plain,
    ( spl0_113
    | spl0_131
    | ~ spl0_10
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1685,f870,f248,f852,f736]) ).

fof(f736,plain,
    ( spl0_113
  <=> c1_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f852,plain,
    ( spl0_131
  <=> c0_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f248,plain,
    ( spl0_10
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c3_1(X63)
        | c1_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f870,plain,
    ( spl0_133
  <=> c3_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1685,plain,
    ( c0_1(a112)
    | c1_1(a112)
    | ~ spl0_10
    | ~ spl0_133 ),
    inference(resolution,[],[f249,f872]) ).

fof(f872,plain,
    ( c3_1(a112)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f249,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c1_1(X63)
        | c0_1(X63) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f1673,plain,
    ( ~ spl0_98
    | spl0_170
    | ~ spl0_9
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1429,f396,f243,f1172,f661]) ).

fof(f661,plain,
    ( spl0_98
  <=> c2_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1172,plain,
    ( spl0_170
  <=> c0_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f243,plain,
    ( spl0_9
  <=> c1_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f396,plain,
    ( spl0_44
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1429,plain,
    ( c0_1(a105)
    | ~ c2_1(a105)
    | ~ spl0_9
    | ~ spl0_44 ),
    inference(resolution,[],[f397,f245]) ).

fof(f245,plain,
    ( c1_1(a105)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f397,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | ~ c2_1(X56)
        | c0_1(X56) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1672,plain,
    ( spl0_148
    | ~ spl0_26
    | ~ spl0_86
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1639,f978,f597,f318,f954]) ).

fof(f954,plain,
    ( spl0_148
  <=> c2_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f318,plain,
    ( spl0_26
  <=> c3_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f597,plain,
    ( spl0_86
  <=> ! [X50] :
        ( ~ c1_1(X50)
        | c2_1(X50)
        | ~ c3_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f978,plain,
    ( spl0_152
  <=> c1_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1639,plain,
    ( ~ c3_1(a130)
    | c2_1(a130)
    | ~ spl0_86
    | ~ spl0_152 ),
    inference(resolution,[],[f598,f980]) ).

fof(f980,plain,
    ( c1_1(a130)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f598,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | ~ c3_1(X50)
        | c2_1(X50) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f1670,plain,
    ( spl0_120
    | ~ spl0_69
    | ~ spl0_86
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1641,f1031,f597,f512,f777]) ).

fof(f777,plain,
    ( spl0_120
  <=> c2_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f512,plain,
    ( spl0_69
  <=> c3_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1031,plain,
    ( spl0_158
  <=> c1_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1641,plain,
    ( ~ c3_1(a138)
    | c2_1(a138)
    | ~ spl0_86
    | ~ spl0_158 ),
    inference(resolution,[],[f598,f1033]) ).

fof(f1033,plain,
    ( c1_1(a138)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1669,plain,
    ( ~ spl0_153
    | spl0_177
    | ~ spl0_86
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1644,f620,f597,f1470,f983]) ).

fof(f983,plain,
    ( spl0_153
  <=> c3_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1470,plain,
    ( spl0_177
  <=> c2_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f620,plain,
    ( spl0_90
  <=> c1_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1644,plain,
    ( c2_1(a101)
    | ~ c3_1(a101)
    | ~ spl0_86
    | ~ spl0_90 ),
    inference(resolution,[],[f598,f622]) ).

fof(f622,plain,
    ( c1_1(a101)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1667,plain,
    ( spl0_161
    | spl0_116
    | ~ spl0_89
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1647,f971,f613,f752,f1055]) ).

fof(f1055,plain,
    ( spl0_161
  <=> c3_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f752,plain,
    ( spl0_116
  <=> c0_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f971,plain,
    ( spl0_151
  <=> c2_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1647,plain,
    ( c0_1(a99)
    | c3_1(a99)
    | ~ spl0_89
    | ~ spl0_151 ),
    inference(resolution,[],[f614,f973]) ).

fof(f973,plain,
    ( c2_1(a99)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f1665,plain,
    ( ~ spl0_151
    | spl0_18
    | ~ spl0_97
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1657,f1055,f657,f283,f971]) ).

fof(f283,plain,
    ( spl0_18
  <=> c1_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f657,plain,
    ( spl0_97
  <=> ! [X98] :
        ( ~ c3_1(X98)
        | c1_1(X98)
        | ~ c2_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1657,plain,
    ( c1_1(a99)
    | ~ c2_1(a99)
    | ~ spl0_97
    | ~ spl0_161 ),
    inference(resolution,[],[f658,f1057]) ).

fof(f1057,plain,
    ( c3_1(a99)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f658,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | c1_1(X98)
        | ~ c2_1(X98) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f1655,plain,
    ( spl0_4
    | spl0_163
    | ~ spl0_15
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1652,f613,f268,f1085,f221]) ).

fof(f221,plain,
    ( spl0_4
  <=> c3_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1085,plain,
    ( spl0_163
  <=> c0_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f268,plain,
    ( spl0_15
  <=> c2_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1652,plain,
    ( c0_1(a124)
    | c3_1(a124)
    | ~ spl0_15
    | ~ spl0_89 ),
    inference(resolution,[],[f614,f270]) ).

fof(f270,plain,
    ( c2_1(a124)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f1626,plain,
    ( spl0_71
    | spl0_62
    | ~ spl0_85
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1616,f862,f594,f475,f524]) ).

fof(f524,plain,
    ( spl0_71
  <=> c3_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f475,plain,
    ( spl0_62
  <=> c1_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f594,plain,
    ( spl0_85
  <=> ! [X51] :
        ( c3_1(X51)
        | ~ c0_1(X51)
        | c1_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f862,plain,
    ( spl0_132
  <=> c0_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1616,plain,
    ( c1_1(a98)
    | c3_1(a98)
    | ~ spl0_85
    | ~ spl0_132 ),
    inference(resolution,[],[f595,f864]) ).

fof(f864,plain,
    ( c0_1(a98)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f595,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51)
        | c3_1(X51) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1595,plain,
    ( ~ spl0_93
    | spl0_55
    | ~ spl0_50
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1573,f990,f421,f443,f636]) ).

fof(f636,plain,
    ( spl0_93
  <=> c3_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f421,plain,
    ( spl0_50
  <=> ! [X71] :
        ( c0_1(X71)
        | ~ c1_1(X71)
        | ~ c3_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1573,plain,
    ( c0_1(a107)
    | ~ c3_1(a107)
    | ~ spl0_50
    | ~ spl0_154 ),
    inference(resolution,[],[f422,f992]) ).

fof(f992,plain,
    ( c1_1(a107)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f422,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | ~ c3_1(X71)
        | c0_1(X71) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1594,plain,
    ( ~ spl0_26
    | spl0_176
    | ~ spl0_50
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1581,f978,f421,f1374,f318]) ).

fof(f1374,plain,
    ( spl0_176
  <=> c0_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1581,plain,
    ( c0_1(a130)
    | ~ c3_1(a130)
    | ~ spl0_50
    | ~ spl0_152 ),
    inference(resolution,[],[f422,f980]) ).

fof(f1593,plain,
    ( spl0_87
    | ~ spl0_179
    | ~ spl0_50
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1574,f630,f421,f1590,f603]) ).

fof(f630,plain,
    ( spl0_92
  <=> c1_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1574,plain,
    ( ~ c3_1(a108)
    | c0_1(a108)
    | ~ spl0_50
    | ~ spl0_92 ),
    inference(resolution,[],[f422,f632]) ).

fof(f632,plain,
    ( c1_1(a108)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f1568,plain,
    ( spl0_62
    | ~ spl0_132
    | ~ spl0_47
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1567,f1070,f409,f862,f475]) ).

fof(f409,plain,
    ( spl0_47
  <=> ! [X20] :
        ( ~ c2_1(X20)
        | ~ c0_1(X20)
        | c1_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1070,plain,
    ( spl0_162
  <=> c2_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1567,plain,
    ( ~ c0_1(a98)
    | c1_1(a98)
    | ~ spl0_47
    | ~ spl0_162 ),
    inference(resolution,[],[f1072,f410]) ).

fof(f410,plain,
    ( ! [X20] :
        ( ~ c2_1(X20)
        | ~ c0_1(X20)
        | c1_1(X20) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f1072,plain,
    ( c2_1(a98)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1070]) ).

fof(f1562,plain,
    ( spl0_116
    | ~ spl0_151
    | ~ spl0_39
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1561,f1055,f375,f971,f752]) ).

fof(f375,plain,
    ( spl0_39
  <=> ! [X104] :
        ( ~ c2_1(X104)
        | ~ c3_1(X104)
        | c0_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1561,plain,
    ( ~ c2_1(a99)
    | c0_1(a99)
    | ~ spl0_39
    | ~ spl0_161 ),
    inference(resolution,[],[f1057,f376]) ).

fof(f376,plain,
    ( ! [X104] :
        ( ~ c3_1(X104)
        | ~ c2_1(X104)
        | c0_1(X104) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f1550,plain,
    ( spl0_131
    | ~ spl0_178
    | ~ spl0_39
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1549,f870,f375,f1543,f852]) ).

fof(f1543,plain,
    ( spl0_178
  <=> c2_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1549,plain,
    ( ~ c2_1(a112)
    | c0_1(a112)
    | ~ spl0_39
    | ~ spl0_133 ),
    inference(resolution,[],[f872,f376]) ).

fof(f1546,plain,
    ( spl0_131
    | spl0_178
    | ~ spl0_13
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1541,f736,f260,f1543,f852]) ).

fof(f1541,plain,
    ( c2_1(a112)
    | c0_1(a112)
    | ~ spl0_13
    | spl0_113 ),
    inference(resolution,[],[f738,f261]) ).

fof(f738,plain,
    ( ~ c1_1(a112)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f1534,plain,
    ( spl0_109
    | spl0_128
    | ~ spl0_79
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1521,f591,f565,f823,f716]) ).

fof(f716,plain,
    ( spl0_109
  <=> c3_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f823,plain,
    ( spl0_128
  <=> c2_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f565,plain,
    ( spl0_79
  <=> c0_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f591,plain,
    ( spl0_84
  <=> ! [X49] :
        ( c2_1(X49)
        | ~ c0_1(X49)
        | c3_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1521,plain,
    ( c2_1(a97)
    | c3_1(a97)
    | ~ spl0_79
    | ~ spl0_84 ),
    inference(resolution,[],[f592,f567]) ).

fof(f567,plain,
    ( c0_1(a97)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f592,plain,
    ( ! [X49] :
        ( ~ c0_1(X49)
        | c2_1(X49)
        | c3_1(X49) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f1517,plain,
    ( ~ spl0_177
    | ~ spl0_40
    | ~ spl0_64
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1512,f983,f485,f379,f1470]) ).

fof(f379,plain,
    ( spl0_40
  <=> c0_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f485,plain,
    ( spl0_64
  <=> ! [X111] :
        ( ~ c3_1(X111)
        | ~ c0_1(X111)
        | ~ c2_1(X111) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1512,plain,
    ( ~ c0_1(a101)
    | ~ c2_1(a101)
    | ~ spl0_64
    | ~ spl0_153 ),
    inference(resolution,[],[f486,f985]) ).

fof(f985,plain,
    ( c3_1(a101)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f486,plain,
    ( ! [X111] :
        ( ~ c3_1(X111)
        | ~ c0_1(X111)
        | ~ c2_1(X111) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f1515,plain,
    ( ~ spl0_149
    | ~ spl0_114
    | ~ spl0_64
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1513,f1273,f485,f741,f961]) ).

fof(f961,plain,
    ( spl0_149
  <=> c2_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f741,plain,
    ( spl0_114
  <=> c0_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1273,plain,
    ( spl0_174
  <=> c3_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1513,plain,
    ( ~ c0_1(a137)
    | ~ c2_1(a137)
    | ~ spl0_64
    | ~ spl0_174 ),
    inference(resolution,[],[f486,f1275]) ).

fof(f1275,plain,
    ( c3_1(a137)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1273]) ).

fof(f1473,plain,
    ( spl0_177
    | ~ spl0_40
    | ~ spl0_52
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1465,f983,f429,f379,f1470]) ).

fof(f429,plain,
    ( spl0_52
  <=> ! [X25] :
        ( c2_1(X25)
        | ~ c0_1(X25)
        | ~ c3_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1465,plain,
    ( ~ c0_1(a101)
    | c2_1(a101)
    | ~ spl0_52
    | ~ spl0_153 ),
    inference(resolution,[],[f430,f985]) ).

fof(f430,plain,
    ( ! [X25] :
        ( ~ c3_1(X25)
        | ~ c0_1(X25)
        | c2_1(X25) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1468,plain,
    ( ~ spl0_176
    | spl0_148
    | ~ spl0_26
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1462,f429,f318,f954,f1374]) ).

fof(f1462,plain,
    ( c2_1(a130)
    | ~ c0_1(a130)
    | ~ spl0_26
    | ~ spl0_52 ),
    inference(resolution,[],[f430,f320]) ).

fof(f320,plain,
    ( c3_1(a130)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f1414,plain,
    ( spl0_127
    | spl0_95
    | ~ spl0_13
    | spl0_60 ),
    inference(avatar_split_clause,[],[f1412,f465,f260,f646,f818]) ).

fof(f646,plain,
    ( spl0_95
  <=> c0_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1412,plain,
    ( c0_1(a122)
    | c2_1(a122)
    | ~ spl0_13
    | spl0_60 ),
    inference(resolution,[],[f261,f467]) ).

fof(f467,plain,
    ( ~ c1_1(a122)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f1406,plain,
    ( spl0_162
    | spl0_62
    | ~ spl0_35
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1352,f862,f361,f475,f1070]) ).

fof(f1352,plain,
    ( c1_1(a98)
    | c2_1(a98)
    | ~ spl0_35
    | ~ spl0_132 ),
    inference(resolution,[],[f864,f362]) ).

fof(f1405,plain,
    ( spl0_60
    | spl0_127
    | ~ spl0_35
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1404,f646,f361,f818,f465]) ).

fof(f1404,plain,
    ( c2_1(a122)
    | c1_1(a122)
    | ~ spl0_35
    | ~ spl0_95 ),
    inference(resolution,[],[f648,f362]) ).

fof(f648,plain,
    ( c0_1(a122)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f1372,plain,
    ( spl0_55
    | spl0_63
    | ~ spl0_14
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1363,f636,f263,f480,f443]) ).

fof(f263,plain,
    ( spl0_14
  <=> ! [X35] :
        ( c2_1(X35)
        | ~ c3_1(X35)
        | c0_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1363,plain,
    ( c2_1(a107)
    | c0_1(a107)
    | ~ spl0_14
    | ~ spl0_93 ),
    inference(resolution,[],[f264,f638]) ).

fof(f638,plain,
    ( c3_1(a107)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f264,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c2_1(X35)
        | c0_1(X35) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f1344,plain,
    ( ~ spl0_83
    | spl0_138
    | ~ spl0_44
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1326,f1165,f396,f898,f586]) ).

fof(f586,plain,
    ( spl0_83
  <=> c2_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f898,plain,
    ( spl0_138
  <=> c0_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1165,plain,
    ( spl0_169
  <=> c1_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1326,plain,
    ( c0_1(a106)
    | ~ c2_1(a106)
    | ~ spl0_44
    | ~ spl0_169 ),
    inference(resolution,[],[f397,f1167]) ).

fof(f1167,plain,
    ( c1_1(a106)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f1289,plain,
    ( spl0_18
    | spl0_116
    | ~ spl0_10
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1288,f1055,f248,f752,f283]) ).

fof(f1288,plain,
    ( c0_1(a99)
    | c1_1(a99)
    | ~ spl0_10
    | ~ spl0_161 ),
    inference(resolution,[],[f1057,f249]) ).

fof(f1285,plain,
    ( spl0_96
    | ~ spl0_118
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1283,f413,f406,f762,f652]) ).

fof(f652,plain,
    ( spl0_96
  <=> c3_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f762,plain,
    ( spl0_118
  <=> c0_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f406,plain,
    ( spl0_46
  <=> ! [X21] :
        ( ~ c0_1(X21)
        | c3_1(X21)
        | ~ c2_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f413,plain,
    ( spl0_48
  <=> c2_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1283,plain,
    ( ~ c0_1(a103)
    | c3_1(a103)
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(resolution,[],[f415,f407]) ).

fof(f407,plain,
    ( ! [X21] :
        ( ~ c2_1(X21)
        | c3_1(X21)
        | ~ c0_1(X21) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f415,plain,
    ( c2_1(a103)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1281,plain,
    ( spl0_71
    | ~ spl0_132
    | ~ spl0_46
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1278,f1070,f406,f862,f524]) ).

fof(f1278,plain,
    ( ~ c0_1(a98)
    | c3_1(a98)
    | ~ spl0_46
    | ~ spl0_162 ),
    inference(resolution,[],[f1072,f407]) ).

fof(f1280,plain,
    ( spl0_71
    | spl0_62
    | ~ spl0_37
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1279,f1070,f368,f475,f524]) ).

fof(f368,plain,
    ( spl0_37
  <=> ! [X86] :
        ( c3_1(X86)
        | c1_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1279,plain,
    ( c1_1(a98)
    | c3_1(a98)
    | ~ spl0_37
    | ~ spl0_162 ),
    inference(resolution,[],[f1072,f369]) ).

fof(f369,plain,
    ( ! [X86] :
        ( ~ c2_1(X86)
        | c3_1(X86)
        | c1_1(X86) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1276,plain,
    ( spl0_174
    | ~ spl0_114
    | ~ spl0_46
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1270,f961,f406,f741,f1273]) ).

fof(f1270,plain,
    ( ~ c0_1(a137)
    | c3_1(a137)
    | ~ spl0_46
    | ~ spl0_149 ),
    inference(resolution,[],[f963,f407]) ).

fof(f963,plain,
    ( c2_1(a137)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f1256,plain,
    ( spl0_81
    | spl0_106
    | ~ spl0_42
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1254,f1247,f388,f697,f575]) ).

fof(f575,plain,
    ( spl0_81
  <=> c1_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f697,plain,
    ( spl0_106
  <=> c0_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f388,plain,
    ( spl0_42
  <=> ! [X115] :
        ( c0_1(X115)
        | ~ c2_1(X115)
        | c1_1(X115) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1247,plain,
    ( spl0_172
  <=> c2_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1254,plain,
    ( c0_1(a147)
    | c1_1(a147)
    | ~ spl0_42
    | ~ spl0_172 ),
    inference(resolution,[],[f1249,f389]) ).

fof(f389,plain,
    ( ! [X115] :
        ( ~ c2_1(X115)
        | c0_1(X115)
        | c1_1(X115) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1249,plain,
    ( c2_1(a147)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1247]) ).

fof(f1251,plain,
    ( spl0_106
    | spl0_172
    | ~ spl0_13
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1245,f575,f260,f1247,f697]) ).

fof(f1245,plain,
    ( c2_1(a147)
    | c0_1(a147)
    | ~ spl0_13
    | spl0_81 ),
    inference(resolution,[],[f577,f261]) ).

fof(f577,plain,
    ( ~ c1_1(a147)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1250,plain,
    ( spl0_66
    | spl0_172
    | ~ spl0_38
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1244,f575,f372,f1247,f495]) ).

fof(f495,plain,
    ( spl0_66
  <=> c3_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f372,plain,
    ( spl0_38
  <=> ! [X103] :
        ( c3_1(X103)
        | c1_1(X103)
        | c2_1(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1244,plain,
    ( c2_1(a147)
    | c3_1(a147)
    | ~ spl0_38
    | spl0_81 ),
    inference(resolution,[],[f577,f373]) ).

fof(f373,plain,
    ( ! [X103] :
        ( c1_1(X103)
        | c2_1(X103)
        | c3_1(X103) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1242,plain,
    ( spl0_134
    | ~ spl0_164
    | ~ spl0_52
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1238,f538,f429,f1095,f877]) ).

fof(f538,plain,
    ( spl0_74
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1238,plain,
    ( ~ c0_1(a136)
    | c2_1(a136)
    | ~ spl0_52
    | ~ spl0_74 ),
    inference(resolution,[],[f430,f540]) ).

fof(f540,plain,
    ( c3_1(a136)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f1240,plain,
    ( spl0_120
    | ~ spl0_103
    | ~ spl0_52
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1239,f512,f429,f683,f777]) ).

fof(f683,plain,
    ( spl0_103
  <=> c0_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1239,plain,
    ( ~ c0_1(a138)
    | c2_1(a138)
    | ~ spl0_52
    | ~ spl0_69 ),
    inference(resolution,[],[f430,f514]) ).

fof(f514,plain,
    ( c3_1(a138)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f1228,plain,
    ( spl0_94
    | spl0_134
    | ~ spl0_49
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1226,f538,f418,f877,f641]) ).

fof(f1226,plain,
    ( c2_1(a136)
    | c1_1(a136)
    | ~ spl0_49
    | ~ spl0_74 ),
    inference(resolution,[],[f419,f540]) ).

fof(f1203,plain,
    ( spl0_127
    | spl0_171
    | ~ spl0_38
    | spl0_60 ),
    inference(avatar_split_clause,[],[f1193,f465,f372,f1200,f818]) ).

fof(f1193,plain,
    ( c3_1(a122)
    | c2_1(a122)
    | ~ spl0_38
    | spl0_60 ),
    inference(resolution,[],[f373,f467]) ).

fof(f1175,plain,
    ( ~ spl0_170
    | spl0_65
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1170,f310,f243,f490,f1172]) ).

fof(f490,plain,
    ( spl0_65
  <=> c3_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f310,plain,
    ( spl0_24
  <=> ! [X117] :
        ( ~ c0_1(X117)
        | c3_1(X117)
        | ~ c1_1(X117) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1170,plain,
    ( c3_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(resolution,[],[f245,f311]) ).

fof(f311,plain,
    ( ! [X117] :
        ( ~ c1_1(X117)
        | ~ c0_1(X117)
        | c3_1(X117) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f1169,plain,
    ( ~ spl0_83
    | spl0_138
    | ~ spl0_39
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1161,f433,f375,f898,f586]) ).

fof(f433,plain,
    ( spl0_53
  <=> c3_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1161,plain,
    ( c0_1(a106)
    | ~ c2_1(a106)
    | ~ spl0_39
    | ~ spl0_53 ),
    inference(resolution,[],[f435,f376]) ).

fof(f435,plain,
    ( c3_1(a106)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1168,plain,
    ( spl0_169
    | spl0_138
    | ~ spl0_10
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1163,f433,f248,f898,f1165]) ).

fof(f1163,plain,
    ( c0_1(a106)
    | c1_1(a106)
    | ~ spl0_10
    | ~ spl0_53 ),
    inference(resolution,[],[f435,f249]) ).

fof(f1160,plain,
    ( ~ spl0_118
    | spl0_96
    | ~ spl0_24
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1159,f1131,f310,f652,f762]) ).

fof(f1131,plain,
    ( spl0_167
  <=> c1_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1159,plain,
    ( c3_1(a103)
    | ~ c0_1(a103)
    | ~ spl0_24
    | ~ spl0_167 ),
    inference(resolution,[],[f1133,f311]) ).

fof(f1133,plain,
    ( c1_1(a103)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1131]) ).

fof(f1158,plain,
    ( spl0_96
    | spl0_167
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1154,f413,f368,f1131,f652]) ).

fof(f1154,plain,
    ( c1_1(a103)
    | c3_1(a103)
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(resolution,[],[f369,f415]) ).

fof(f1134,plain,
    ( spl0_167
    | ~ spl0_118
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1123,f413,f409,f762,f1131]) ).

fof(f1123,plain,
    ( ~ c0_1(a103)
    | c1_1(a103)
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(resolution,[],[f410,f415]) ).

fof(f1129,plain,
    ( ~ spl0_117
    | spl0_23
    | ~ spl0_47
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1127,f543,f409,f305,f757]) ).

fof(f757,plain,
    ( spl0_117
  <=> c0_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f305,plain,
    ( spl0_23
  <=> c1_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f543,plain,
    ( spl0_75
  <=> c2_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1127,plain,
    ( c1_1(a129)
    | ~ c0_1(a129)
    | ~ spl0_47
    | ~ spl0_75 ),
    inference(resolution,[],[f410,f545]) ).

fof(f545,plain,
    ( c2_1(a129)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f1128,plain,
    ( spl0_68
    | ~ spl0_163
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1126,f409,f268,f1085,f506]) ).

fof(f506,plain,
    ( spl0_68
  <=> c1_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1126,plain,
    ( ~ c0_1(a124)
    | c1_1(a124)
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(resolution,[],[f410,f270]) ).

fof(f1114,plain,
    ( ~ spl0_144
    | spl0_87
    | ~ spl0_44
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1103,f630,f396,f603,f928]) ).

fof(f1103,plain,
    ( c0_1(a108)
    | ~ c2_1(a108)
    | ~ spl0_44
    | ~ spl0_92 ),
    inference(resolution,[],[f397,f632]) ).

fof(f1099,plain,
    ( spl0_164
    | spl0_134
    | ~ spl0_14
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1092,f538,f263,f877,f1095]) ).

fof(f1092,plain,
    ( c2_1(a136)
    | c0_1(a136)
    | ~ spl0_14
    | ~ spl0_74 ),
    inference(resolution,[],[f540,f264]) ).

fof(f1089,plain,
    ( spl0_116
    | spl0_18
    | ~ spl0_42
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1077,f971,f388,f283,f752]) ).

fof(f1077,plain,
    ( c1_1(a99)
    | c0_1(a99)
    | ~ spl0_42
    | ~ spl0_151 ),
    inference(resolution,[],[f389,f973]) ).

fof(f1073,plain,
    ( spl0_162
    | spl0_71
    | ~ spl0_38
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1061,f475,f372,f524,f1070]) ).

fof(f1061,plain,
    ( c3_1(a98)
    | c2_1(a98)
    | ~ spl0_38
    | spl0_62 ),
    inference(resolution,[],[f373,f477]) ).

fof(f477,plain,
    ( ~ c1_1(a98)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f1068,plain,
    ( spl0_136
    | spl0_125
    | ~ spl0_38
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1066,f570,f372,f803,f887]) ).

fof(f887,plain,
    ( spl0_136
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f803,plain,
    ( spl0_125
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f570,plain,
    ( spl0_80
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1066,plain,
    ( c3_1(a132)
    | c2_1(a132)
    | ~ spl0_38
    | spl0_80 ),
    inference(resolution,[],[f373,f572]) ).

fof(f572,plain,
    ( ~ c1_1(a132)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f1058,plain,
    ( spl0_161
    | spl0_18
    | ~ spl0_37
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1038,f971,f368,f283,f1055]) ).

fof(f1038,plain,
    ( c1_1(a99)
    | c3_1(a99)
    | ~ spl0_37
    | ~ spl0_151 ),
    inference(resolution,[],[f369,f973]) ).

fof(f1043,plain,
    ( spl0_68
    | spl0_4
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1041,f368,f268,f221,f506]) ).

fof(f1041,plain,
    ( c3_1(a124)
    | c1_1(a124)
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(resolution,[],[f369,f270]) ).

fof(f1035,plain,
    ( spl0_136
    | spl0_80
    | ~ spl0_35
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1028,f999,f361,f570,f887]) ).

fof(f999,plain,
    ( spl0_155
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1028,plain,
    ( c1_1(a132)
    | c2_1(a132)
    | ~ spl0_35
    | ~ spl0_155 ),
    inference(resolution,[],[f362,f1001]) ).

fof(f1001,plain,
    ( c0_1(a132)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1034,plain,
    ( spl0_120
    | spl0_158
    | ~ spl0_35
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1029,f683,f361,f1031,f777]) ).

fof(f1029,plain,
    ( c1_1(a138)
    | c2_1(a138)
    | ~ spl0_35
    | ~ spl0_103 ),
    inference(resolution,[],[f362,f685]) ).

fof(f685,plain,
    ( c0_1(a138)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1002,plain,
    ( spl0_155
    | spl0_136
    | ~ spl0_13
    | spl0_80 ),
    inference(avatar_split_clause,[],[f995,f570,f260,f887,f999]) ).

fof(f995,plain,
    ( c2_1(a132)
    | c0_1(a132)
    | ~ spl0_13
    | spl0_80 ),
    inference(resolution,[],[f261,f572]) ).

fof(f997,plain,
    ( spl0_73
    | spl0_78
    | ~ spl0_13
    | spl0_146 ),
    inference(avatar_split_clause,[],[f996,f944,f260,f558,f533]) ).

fof(f533,plain,
    ( spl0_73
  <=> c2_1(a120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f558,plain,
    ( spl0_78
  <=> c0_1(a120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f944,plain,
    ( spl0_146
  <=> c1_1(a120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f996,plain,
    ( c0_1(a120)
    | c2_1(a120)
    | ~ spl0_13
    | spl0_146 ),
    inference(resolution,[],[f261,f946]) ).

fof(f946,plain,
    ( ~ c1_1(a120)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f986,plain,
    ( spl0_153
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f119,f383,f983]) ).

fof(f383,plain,
    ( spl0_41
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f119,plain,
    ( ~ hskp27
    | c3_1(a101) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ( ~ c1_1(a124)
        & ndr1_0
        & c2_1(a124)
        & ~ c3_1(a124) )
      | ~ hskp17 )
    & ( ( c1_1(a137)
        & c0_1(a137)
        & c2_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X27] :
          ( c1_1(X27)
          | c3_1(X27)
          | ~ ndr1_0
          | c2_1(X27) )
      | hskp19
      | hskp18 )
    & ( ~ hskp25
      | ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a138)
        & ~ c2_1(a138)
        & c3_1(a138) )
      | ~ hskp22 )
    & ( ! [X120] :
          ( ~ ndr1_0
          | c0_1(X120)
          | c2_1(X120)
          | ~ c1_1(X120) )
      | hskp12
      | ! [X119] :
          ( c0_1(X119)
          | ~ ndr1_0
          | ~ c2_1(X119)
          | ~ c1_1(X119) ) )
    & ( ! [X24] :
          ( c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0
          | c0_1(X24) )
      | hskp10
      | ! [X23] :
          ( c2_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23)
          | ~ c3_1(X23) ) )
    & ( ! [X105] :
          ( ~ c2_1(X105)
          | ~ c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0
          | c0_1(X106) )
      | hskp15 )
    & ( ! [X15] :
          ( ~ c2_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c2_1(X13)
          | c3_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | hskp16
      | hskp2 )
    & ( ~ hskp18
      | ( c2_1(a129)
        & ~ c1_1(a129)
        & ndr1_0
        & c0_1(a129) ) )
    & ( ( ndr1_0
        & ~ c2_1(a120)
        & ~ c0_1(a120)
        & ~ c1_1(a120) )
      | ~ hskp14 )
    & ( ~ hskp6
      | ( c1_1(a105)
        & c2_1(a105)
        & ndr1_0
        & ~ c3_1(a105) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c3_1(a147)
        & ~ c0_1(a147)
        & ~ c1_1(a147) ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ ndr1_0
          | ~ c2_1(X18)
          | c0_1(X18) )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0
          | c2_1(X19) ) )
    & ( hskp7
      | ! [X25] :
          ( c2_1(X25)
          | ~ c0_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp20
      | hskp6
      | ! [X94] :
          ( c1_1(X94)
          | c2_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c1_1(X48) )
      | ! [X46] :
          ( c3_1(X46)
          | c0_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ ndr1_0
          | c1_1(X47)
          | c0_1(X47) ) )
    & ( hskp16
      | hskp10
      | hskp8 )
    & ( hskp17
      | ! [X58] :
          ( ~ ndr1_0
          | c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58) )
      | hskp9 )
    & ( hskp12
      | hskp13 )
    & ( hskp2
      | ! [X107] :
          ( c2_1(X107)
          | ~ ndr1_0
          | c1_1(X107)
          | c0_1(X107) )
      | hskp1 )
    & ( hskp21
      | hskp22
      | ! [X53] :
          ( ~ ndr1_0
          | c1_1(X53)
          | ~ c2_1(X53)
          | c3_1(X53) ) )
    & ( hskp13
      | hskp5
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59) ) )
    & ( ! [X97] :
          ( c3_1(X97)
          | ~ ndr1_0
          | ~ c0_1(X97)
          | ~ c1_1(X97) )
      | hskp18
      | hskp8 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ ndr1_0
          | c0_1(X89)
          | c1_1(X89)
          | ~ c3_1(X89) )
      | ! [X91] :
          ( c0_1(X91)
          | c3_1(X91)
          | ~ ndr1_0
          | ~ c1_1(X91) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100) ) )
    & ( ~ hskp12
      | ( c1_1(a113)
        & c0_1(a113)
        & ~ c2_1(a113)
        & ndr1_0 ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a99)
        & c2_1(a99)
        & ~ c0_1(a99) ) )
    & ( ~ hskp27
      | ( c0_1(a101)
        & c1_1(a101)
        & ndr1_0
        & c3_1(a101) ) )
    & ( hskp0
      | hskp29
      | ! [X117] :
          ( c3_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c3_1(X69)
          | ~ ndr1_0
          | c2_1(X69)
          | c0_1(X69) )
      | ! [X68] :
          ( c2_1(X68)
          | ~ ndr1_0
          | ~ c3_1(X68)
          | c0_1(X68) )
      | ! [X70] :
          ( c1_1(X70)
          | ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c0_1(X70) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | c1_1(X9)
          | c2_1(X9)
          | c0_1(X9) )
      | ! [X7] :
          ( c0_1(X7)
          | ~ ndr1_0
          | ~ c2_1(X7)
          | c1_1(X7) )
      | ! [X8] :
          ( c3_1(X8)
          | ~ ndr1_0
          | c0_1(X8)
          | ~ c2_1(X8) ) )
    & ( ! [X32] :
          ( c0_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | ~ ndr1_0
          | ~ c2_1(X33)
          | c1_1(X33) )
      | hskp1 )
    & ( hskp13
      | hskp8
      | hskp18 )
    & ( hskp0
      | ! [X35] :
          ( ~ ndr1_0
          | c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | c1_1(X34)
          | c0_1(X34)
          | c2_1(X34) ) )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | ~ ndr1_0
          | c2_1(X40)
          | c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | c2_1(X39)
          | ~ c3_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38) ) )
    & ( ! [X42] :
          ( ~ ndr1_0
          | ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42) )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0
          | c1_1(X43) )
      | hskp20 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( ~ hskp16
      | ( ~ c1_1(a122)
        & ndr1_0
        & c0_1(a122)
        & ~ c2_1(a122) ) )
    & ( ! [X118] :
          ( ~ ndr1_0
          | c2_1(X118)
          | c3_1(X118)
          | c0_1(X118) )
      | hskp11
      | hskp5 )
    & ( ! [X37] :
          ( ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0
          | c2_1(X37) )
      | hskp19
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ ndr1_0
          | c1_1(X36)
          | ~ c3_1(X36) ) )
    & ( hskp10
      | ! [X101] :
          ( c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0
          | ~ c1_1(X101) )
      | ! [X102] :
          ( c2_1(X102)
          | c0_1(X102)
          | ~ ndr1_0
          | ~ c1_1(X102) ) )
    & ( hskp22
      | hskp6
      | ! [X116] :
          ( ~ c3_1(X116)
          | c1_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ c1_1(X74) )
      | ! [X75] :
          ( c3_1(X75)
          | ~ ndr1_0
          | ~ c0_1(X75)
          | ~ c2_1(X75) )
      | hskp11 )
    & ( hskp8
      | hskp19
      | hskp15 )
    & ( ! [X108] :
          ( ~ ndr1_0
          | c1_1(X108)
          | ~ c2_1(X108)
          | ~ c0_1(X108) )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0
          | ~ c0_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c3_1(X109)
          | c1_1(X109) ) )
    & ( ! [X10] :
          ( ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0
          | ~ c1_1(X10) )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0
          | ~ c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11) ) )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( hskp16
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | ~ c2_1(X96)
          | c3_1(X96) )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0
          | ~ c2_1(X95) ) )
    & ( ( c3_1(a145)
        & ndr1_0
        & ~ c0_1(a145)
        & c1_1(a145) )
      | ~ hskp23 )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ ndr1_0
          | ~ c2_1(X78)
          | c0_1(X78) )
      | hskp1
      | ! [X79] :
          ( ~ c3_1(X79)
          | ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c0_1(X79) ) )
    & ( ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0
          | c0_1(X56) )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0
          | c0_1(X57) )
      | hskp3 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & ndr1_0
        & c0_1(a116) )
      | ~ hskp13 )
    & ( ( ndr1_0
        & ~ c1_1(a136)
        & c3_1(a136)
        & ~ c2_1(a136) )
      | ~ hskp21 )
    & ( hskp7
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | c0_1(X87)
          | c1_1(X87) )
      | hskp6 )
    & ( hskp2
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0
          | c2_1(X83) )
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c1_1(X84) ) )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0
          | c3_1(X113) )
      | ! [X114] :
          ( c3_1(X114)
          | ~ ndr1_0
          | c2_1(X114)
          | c1_1(X114) )
      | hskp15 )
    & ( hskp27
      | hskp9
      | hskp2 )
    & ( ~ hskp11
      | ( ~ c1_1(a112)
        & ndr1_0
        & ~ c0_1(a112)
        & c3_1(a112) ) )
    & ( ( c0_1(a103)
        & ~ c3_1(a103)
        & ndr1_0
        & c2_1(a103) )
      | ~ hskp4 )
    & ( ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp25
      | hskp16 )
    & ( hskp4
      | hskp28
      | hskp22 )
    & ( hskp2
      | hskp21
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | ~ ndr1_0
          | c1_1(X30) ) )
    & ( ! [X22] :
          ( c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c3_1(X21)
          | ~ c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20) ) )
    & ( hskp3
      | hskp17
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ ndr1_0
          | ~ c3_1(X98)
          | c1_1(X98) ) )
    & ( hskp0
      | ! [X93] :
          ( ~ c0_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | hskp24
      | ! [X76] :
          ( ~ ndr1_0
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76) ) )
    & ( ( c2_1(a166)
        & ndr1_0
        & c0_1(a166)
        & c3_1(a166) )
      | ~ hskp29 )
    & ( ( ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0
        & ~ c3_1(a121) )
      | ~ hskp15 )
    & ( ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | c0_1(X104) )
      | hskp17
      | ! [X103] :
          ( c3_1(X103)
          | ~ ndr1_0
          | c2_1(X103)
          | c1_1(X103) ) )
    & ( hskp14
      | ! [X88] :
          ( c0_1(X88)
          | ~ ndr1_0
          | ~ c2_1(X88)
          | c3_1(X88) )
      | hskp1 )
    & ( ! [X49] :
          ( c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c1_1(X51)
          | c3_1(X51) )
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0
          | c2_1(X50) ) )
    & ( ! [X81] :
          ( ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0
          | c3_1(X81) )
      | ! [X80] :
          ( c3_1(X80)
          | ~ ndr1_0
          | c1_1(X80)
          | c0_1(X80) )
      | ! [X82] :
          ( ~ c0_1(X82)
          | c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X115] :
          ( ~ ndr1_0
          | c0_1(X115)
          | c1_1(X115)
          | ~ c2_1(X115) )
      | hskp4
      | hskp5 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp27
      | ! [X5] :
          ( c2_1(X5)
          | ~ ndr1_0
          | ~ c3_1(X5)
          | c1_1(X5) ) )
    & ( ! [X0] :
          ( ~ c2_1(X0)
          | ~ c0_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp4
      | hskp7 )
    & ( ~ hskp5
      | ( c2_1(a104)
        & ndr1_0
        & ~ c0_1(a104)
        & ~ c3_1(a104) ) )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0
          | c3_1(X112) )
      | hskp6 )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0
          | c3_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | ~ c1_1(X2)
          | c2_1(X2)
          | c3_1(X2) ) )
    & ( ~ hskp8
      | ( c3_1(a107)
        & ~ c0_1(a107)
        & ~ c2_1(a107)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a108)
        & c2_1(a108)
        & ~ c0_1(a108) )
      | ~ hskp9 )
    & ( ~ hskp19
      | ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 ) )
    & ( hskp5
      | hskp26
      | hskp25 )
    & ( hskp23
      | ! [X52] :
          ( c1_1(X52)
          | ~ ndr1_0
          | ~ c2_1(X52)
          | c3_1(X52) )
      | hskp17 )
    & ( ( ndr1_0
        & ~ c1_1(a132)
        & ~ c2_1(a132)
        & ~ c3_1(a132) )
      | ~ hskp20 )
    & ( hskp10
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ ndr1_0
          | c1_1(X65)
          | ~ c0_1(X65) )
      | ! [X64] :
          ( c2_1(X64)
          | ~ ndr1_0
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp20
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0
          | c2_1(X26) )
      | hskp7 )
    & ( hskp4
      | hskp18
      | hskp20 )
    & ( ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | c3_1(X99) )
      | hskp11
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | c3_1(X100)
          | c0_1(X100) ) )
    & ( hskp0
      | ! [X29] :
          ( c1_1(X29)
          | ~ ndr1_0
          | ~ c0_1(X29)
          | c3_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | ~ c3_1(X28)
          | c0_1(X28) ) )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( ! [X62] :
          ( ~ c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0
          | ~ c1_1(X62) )
      | hskp29
      | hskp27 )
    & ( hskp6
      | hskp15
      | hskp16 )
    & ( ( ndr1_0
        & ~ c1_1(a195)
        & c0_1(a195)
        & c3_1(a195) )
      | ~ hskp26 )
    & ( ! [X61] :
          ( c1_1(X61)
          | ~ ndr1_0
          | c0_1(X61)
          | ~ c3_1(X61) )
      | ! [X60] :
          ( c1_1(X60)
          | ~ ndr1_0
          | c2_1(X60)
          | ~ c3_1(X60) )
      | hskp8 )
    & ( ! [X54] :
          ( c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0
          | ~ c1_1(X54) )
      | hskp1
      | ! [X55] :
          ( c1_1(X55)
          | ~ c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ c3_1(X71) )
      | ! [X73] :
          ( ~ ndr1_0
          | c0_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73) )
      | ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ ndr1_0
          | ~ c3_1(X72) ) )
    & ( ~ hskp0
      | ( ~ c3_1(a97)
        & ndr1_0
        & ~ c2_1(a97)
        & c0_1(a97) ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ ndr1_0
          | c1_1(X45)
          | c3_1(X45) )
      | hskp18 )
    & ( hskp6
      | hskp9
      | ! [X63] :
          ( ~ ndr1_0
          | c0_1(X63)
          | ~ c3_1(X63)
          | c1_1(X63) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a110)
        & c1_1(a110)
        & ~ c3_1(a110) ) )
    & ( hskp4
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0
          | c3_1(X86) )
      | ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0
          | c2_1(X85) ) )
    & ( ( c2_1(a106)
        & c3_1(a106)
        & ~ c0_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c0_1(a98)
        & ndr1_0
        & ~ c1_1(a98)
        & ~ c3_1(a98) )
      | ~ hskp1 )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | ~ ndr1_0
          | ~ c1_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | c1_1(X67)
          | c2_1(X67)
          | ~ c3_1(X67) )
      | hskp28 )
    & ( hskp19
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ ndr1_0
          | c3_1(X41)
          | ~ c1_1(X41) )
      | hskp27 )
    & ( ! [X6] :
          ( ~ ndr1_0
          | ~ c0_1(X6)
          | c3_1(X6)
          | c2_1(X6) )
      | hskp18
      | hskp11 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp1
      | hskp9
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c2_1(X42)
          | c1_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | hskp20 )
    & ( hskp2
      | ! [X30] :
          ( ~ c0_1(X30)
          | c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp16
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp6
      | ( c1_1(a105)
        & c2_1(a105)
        & ndr1_0
        & ~ c3_1(a105) ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp15
      | ! [X106] :
          ( ~ c2_1(X106)
          | c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp9
      | hskp2 )
    & ( ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | c0_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X112] :
          ( ~ c1_1(X112)
          | c3_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X62] :
          ( ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a108)
        & c2_1(a108)
        & ~ c0_1(a108) )
      | ~ hskp9 )
    & ( ~ hskp8
      | ( c3_1(a107)
        & ~ c0_1(a107)
        & ~ c2_1(a107)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c0_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c3_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp2
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | ~ c0_1(X81)
          | c3_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X88] :
          ( ~ c2_1(X88)
          | c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ~ hskp27
      | ( c0_1(a101)
        & c1_1(a101)
        & ndr1_0
        & c3_1(a101) ) )
    & ( ( c0_1(a103)
        & ~ c3_1(a103)
        & ndr1_0
        & c2_1(a103) )
      | ~ hskp4 )
    & ( ( c0_1(a98)
        & ndr1_0
        & ~ c1_1(a98)
        & ~ c3_1(a98) )
      | ~ hskp1 )
    & ( ! [X6] :
          ( c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp11
      | hskp18 )
    & ( ! [X66] :
          ( ~ c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp28
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( ~ c0_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X59] :
          ( c2_1(X59)
          | c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp13
      | hskp5 )
    & ( ! [X25] :
          ( c2_1(X25)
          | ~ c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | hskp4
      | hskp7 )
    & ( ( c2_1(a166)
        & ndr1_0
        & c0_1(a166)
        & c3_1(a166) )
      | ~ hskp29 )
    & ( ~ hskp16
      | ( ~ c1_1(a122)
        & ndr1_0
        & c0_1(a122)
        & ~ c2_1(a122) ) )
    & ( hskp1
      | ! [X107] :
          ( c0_1(X107)
          | c2_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | hskp2 )
    & ( hskp5
      | hskp26
      | hskp25 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c2_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | hskp20
      | hskp6 )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c3_1(a147)
        & ~ c0_1(a147)
        & ~ c1_1(a147) ) )
    & ( hskp12
      | hskp13 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp13
      | hskp8
      | hskp18 )
    & ( ( ndr1_0
        & ~ c2_1(a120)
        & ~ c0_1(a120)
        & ~ c1_1(a120) )
      | ~ hskp14 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp27
      | ! [X5] :
          ( c2_1(X5)
          | ~ c3_1(X5)
          | c1_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X114] :
          ( c1_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c0_1(X113)
          | c3_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp19
      | hskp15 )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a99)
        & c2_1(a99)
        & ~ c0_1(a99) ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | hskp17
      | hskp23 )
    & ( ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp25
      | hskp16 )
    & ( hskp4
      | hskp18
      | hskp20 )
    & ( ( ndr1_0
        & ~ c1_1(a136)
        & c3_1(a136)
        & ~ c2_1(a136) )
      | ~ hskp21 )
    & ( hskp19
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c1_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c2_1(X95)
          | c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp16
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0
        & ~ c3_1(a121) )
      | ~ hskp15 )
    & ( hskp6
      | hskp22
      | ! [X116] :
          ( c1_1(X116)
          | ~ c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X97] :
          ( ~ c0_1(X97)
          | c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp18
      | hskp8 )
    & ( ! [X120] :
          ( c2_1(X120)
          | c0_1(X120)
          | ~ c1_1(X120)
          | ~ ndr1_0 )
      | ! [X119] :
          ( c0_1(X119)
          | ~ c2_1(X119)
          | ~ c1_1(X119)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X93] :
          ( ~ c0_1(X93)
          | ~ c1_1(X93)
          | c3_1(X93)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ~ hskp12
      | ( c1_1(a113)
        & c0_1(a113)
        & ~ c2_1(a113)
        & ndr1_0 ) )
    & ( ~ hskp18
      | ( c2_1(a129)
        & ~ c1_1(a129)
        & ndr1_0
        & c0_1(a129) ) )
    & ( ~ hskp25
      | ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 ) )
    & ( hskp1
      | ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X10] :
          ( c2_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c2_1(X11)
          | c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ( ~ c1_1(a124)
        & ndr1_0
        & c2_1(a124)
        & ~ c3_1(a124) )
      | ~ hskp17 )
    & ( hskp9
      | ! [X58] :
          ( ~ c2_1(X58)
          | c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp17
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp16
      | hskp10
      | hskp8 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100) ) )
    & ( ( c1_1(a137)
        & c0_1(a137)
        & c2_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X54] :
          ( c3_1(X54)
          | ~ c0_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X61] :
          ( c1_1(X61)
          | ~ c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | hskp8
      | ! [X60] :
          ( c2_1(X60)
          | ~ c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c2_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp10
      | ! [X24] :
          ( c2_1(X24)
          | c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a195)
        & c0_1(a195)
        & c3_1(a195) )
      | ~ hskp26 )
    & ( hskp7
      | ! [X87] :
          ( c0_1(X87)
          | c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp6
      | hskp15
      | hskp16 )
    & ( ! [X15] :
          ( ~ c0_1(X15)
          | ~ c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( c2_1(a104)
        & ndr1_0
        & ~ c0_1(a104)
        & ~ c3_1(a104) ) )
    & ( ! [X91] :
          ( ~ c1_1(X91)
          | c3_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c0_1(X89)
          | ~ c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c1_1(X90)
          | c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | hskp22 )
    & ( ! [X102] :
          ( c0_1(X102)
          | ~ c1_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ( ndr1_0
        & c0_1(a138)
        & ~ c2_1(a138)
        & c3_1(a138) )
      | ~ hskp22 )
    & ( ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c0_1(X100)
          | c3_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( ndr1_0
        & ~ c1_1(a132)
        & ~ c2_1(a132)
        & ~ c3_1(a132) )
      | ~ hskp20 )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c3_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | c1_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X53] :
          ( ~ c2_1(X53)
          | c1_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c0_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X77] :
          ( c1_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( c3_1(X118)
          | c2_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | hskp11
      | hskp5 )
    & ( ( c2_1(a106)
        & c3_1(a106)
        & ~ c0_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ! [X27] :
          ( c1_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a110)
        & c1_1(a110)
        & ~ c3_1(a110) ) )
    & ( ! [X117] :
          ( ~ c1_1(X117)
          | ~ c0_1(X117)
          | c3_1(X117)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & ndr1_0
        & c0_1(a116) )
      | ~ hskp13 )
    & ( ! [X33] :
          ( c3_1(X33)
          | c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp1
      | ! [X32] :
          ( c1_1(X32)
          | c0_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ~ hskp19
      | ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 ) )
    & ( hskp9
      | ! [X63] :
          ( c1_1(X63)
          | ~ c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | c0_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c1_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | hskp3
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X78] :
          ( c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X104] :
          ( ~ c2_1(X104)
          | c0_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | c3_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c1_1(X28)
          | c0_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp0
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c2_1(X20)
          | c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c2_1(X34)
          | c1_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ( c3_1(a145)
        & ndr1_0
        & ~ c0_1(a145)
        & c1_1(a145) )
      | ~ hskp23 )
    & ( hskp4
      | ! [X86] :
          ( c3_1(X86)
          | c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ~ c1_1(a112)
        & ndr1_0
        & ~ c0_1(a112)
        & c3_1(a112) ) )
    & ( hskp27
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X3] :
          ( ~ c1_1(X3)
          | c3_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | ~ c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ~ c3_1(a97)
        & ndr1_0
        & ~ c2_1(a97)
        & c0_1(a97) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp1
      | hskp9
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c2_1(X111)
            | ~ c0_1(X111) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | c1_1(X42)
            | ~ c0_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | hskp20 )
    & ( hskp2
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c1_1(X30)
            | c2_1(X30) ) )
      | hskp21 )
    & ( hskp16
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) )
      | hskp2 )
    & ( ~ hskp6
      | ( c1_1(a105)
        & c2_1(a105)
        & ndr1_0
        & ~ c3_1(a105) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c2_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | ~ c0_1(X75) ) )
      | hskp11 )
    & ( hskp15
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c0_1(X106)
            | ~ c3_1(X106) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) ) )
    & ( hskp27
      | hskp9
      | hskp2 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | c3_1(X17)
            | c0_1(X17) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c2_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c0_1(X18)
            | ~ c2_1(X18) ) ) )
    & ( hskp6
      | ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | c3_1(X112)
            | ~ c0_1(X112) ) ) )
    & ( hskp29
      | hskp27
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | ~ c1_1(X62)
            | ~ c2_1(X62) ) ) )
    & ( ( ndr1_0
        & c1_1(a108)
        & c2_1(a108)
        & ~ c0_1(a108) )
      | ~ hskp9 )
    & ( ~ hskp8
      | ( c3_1(a107)
        & ~ c0_1(a107)
        & ~ c2_1(a107)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c0_1(X0)
            | c1_1(X0) ) )
      | hskp4 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c3_1(X72)
            | c2_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c3_1(X71)
            | c0_1(X71) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c0_1(X73)
            | c2_1(X73) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | ~ c3_1(X83) ) )
      | hskp2
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c1_1(X84)
            | ~ c2_1(X84) ) ) )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c1_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c3_1(X80)
            | c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | ~ c0_1(X81)
            | c3_1(X81) ) ) )
    & ( hskp14
      | hskp1
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c3_1(X88)
            | c0_1(X88) ) ) )
    & ( ~ hskp27
      | ( c0_1(a101)
        & c1_1(a101)
        & ndr1_0
        & c3_1(a101) ) )
    & ( ( c0_1(a103)
        & ~ c3_1(a103)
        & ndr1_0
        & c2_1(a103) )
      | ~ hskp4 )
    & ( ( c0_1(a98)
        & ndr1_0
        & ~ c1_1(a98)
        & ~ c3_1(a98) )
      | ~ hskp1 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) )
      | hskp11
      | hskp18 )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c2_1(X66)
            | ~ c0_1(X66) ) )
      | hskp28
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | ~ c1_1(X26)
            | c2_1(X26) ) )
      | hskp7
      | hskp20 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | c0_1(X59)
            | ~ c3_1(X59) ) )
      | hskp13
      | hskp5 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | ~ c3_1(X25)
            | ~ c0_1(X25) ) )
      | hskp4
      | hskp7 )
    & ( ( c2_1(a166)
        & ndr1_0
        & c0_1(a166)
        & c3_1(a166) )
      | ~ hskp29 )
    & ( ~ hskp16
      | ( ~ c1_1(a122)
        & ndr1_0
        & c0_1(a122)
        & ~ c2_1(a122) ) )
    & ( hskp1
      | ! [X107] :
          ( ndr1_0
         => ( c0_1(X107)
            | c2_1(X107)
            | c1_1(X107) ) )
      | hskp2 )
    & ( hskp5
      | hskp26
      | hskp25 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | c2_1(X94)
            | ~ c0_1(X94) ) )
      | hskp20
      | hskp6 )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c3_1(a147)
        & ~ c0_1(a147)
        & ~ c1_1(a147) ) )
    & ( hskp12
      | hskp13 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp13
      | hskp8
      | hskp18 )
    & ( ( ndr1_0
        & ~ c2_1(a120)
        & ~ c0_1(a120)
        & ~ c1_1(a120) )
      | ~ hskp14 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | ~ c2_1(X4) ) )
      | hskp27
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | ~ c3_1(X5)
            | c1_1(X5) ) ) )
    & ( hskp15
      | ! [X114] :
          ( ndr1_0
         => ( c1_1(X114)
            | c3_1(X114)
            | c2_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | c3_1(X113)
            | ~ c2_1(X113) ) ) )
    & ( hskp8
      | hskp19
      | hskp15 )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a99)
        & c2_1(a99)
        & ~ c0_1(a99) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c3_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c1_1(X52) ) )
      | hskp17
      | hskp23 )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | ~ c2_1(X31) ) )
      | hskp25
      | hskp16 )
    & ( hskp4
      | hskp18
      | hskp20 )
    & ( ( ndr1_0
        & ~ c1_1(a136)
        & c3_1(a136)
        & ~ c2_1(a136) )
      | ~ hskp21 )
    & ( hskp19
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c3_1(X37)
            | c2_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c1_1(X36)
            | ~ c0_1(X36) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c0_1(X95)
            | ~ c1_1(X95) ) )
      | hskp16
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c0_1(X96)
            | c3_1(X96) ) ) )
    & ( ( ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0
        & ~ c3_1(a121) )
      | ~ hskp15 )
    & ( hskp6
      | hskp22
      | ! [X116] :
          ( ndr1_0
         => ( c1_1(X116)
            | ~ c3_1(X116)
            | c2_1(X116) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c3_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c3_1(X45)
            | ~ c0_1(X45) ) )
      | hskp18 )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | c3_1(X97)
            | ~ c1_1(X97) ) )
      | hskp18
      | hskp8 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c0_1(X120)
            | ~ c1_1(X120) ) )
      | ! [X119] :
          ( ndr1_0
         => ( c0_1(X119)
            | ~ c2_1(X119)
            | ~ c1_1(X119) ) )
      | hskp12 )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | ~ c1_1(X93)
            | c3_1(X93) ) )
      | hskp0 )
    & ( ~ hskp12
      | ( c1_1(a113)
        & c0_1(a113)
        & ~ c2_1(a113)
        & ndr1_0 ) )
    & ( ~ hskp18
      | ( c2_1(a129)
        & ~ c1_1(a129)
        & ndr1_0
        & c0_1(a129) ) )
    & ( ~ hskp25
      | ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 ) )
    & ( hskp1
      | ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c3_1(X92)
            | ~ c2_1(X92) ) )
      | hskp19 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | c0_1(X64)
            | ~ c1_1(X64) ) )
      | hskp10 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | ~ c0_1(X10)
            | ~ c1_1(X10) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | ~ c1_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c0_1(X11)
            | ~ c1_1(X11) ) ) )
    & ( ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) )
      | hskp5
      | hskp4 )
    & ( ( ~ c1_1(a124)
        & ndr1_0
        & c2_1(a124)
        & ~ c3_1(a124) )
      | ~ hskp17 )
    & ( hskp9
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c0_1(X58)
            | ~ c3_1(X58) ) )
      | hskp17 )
    & ( hskp17
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | ~ c2_1(X98) ) )
      | hskp3 )
    & ( hskp16
      | hskp10
      | hskp8 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100) ) )
    & ( ( c1_1(a137)
        & c0_1(a137)
        & c2_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c3_1(X54)
            | ~ c0_1(X54)
            | ~ c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | ~ c2_1(X55)
            | c1_1(X55) ) )
      | hskp1 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | ~ c3_1(X61)
            | c0_1(X61) ) )
      | hskp8
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c3_1(X60)
            | c1_1(X60) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | ~ c1_1(X23)
            | ~ c3_1(X23) ) )
      | hskp10
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | c0_1(X24)
            | c3_1(X24) ) ) )
    & ( ( ndr1_0
        & ~ c1_1(a195)
        & c0_1(a195)
        & c3_1(a195) )
      | ~ hskp26 )
    & ( hskp7
      | ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | c1_1(X87)
            | ~ c2_1(X87) ) )
      | hskp6 )
    & ( hskp6
      | hskp15
      | hskp16 )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | ~ c2_1(X15)
            | c1_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c2_1(X16)
            | ~ c3_1(X16) ) ) )
    & ( ~ hskp5
      | ( c2_1(a104)
        & ndr1_0
        & ~ c0_1(a104)
        & ~ c3_1(a104) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | c3_1(X91)
            | c0_1(X91) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c0_1(X89)
            | ~ c3_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c0_1(X90)
            | c3_1(X90) ) ) )
    & ( hskp4
      | hskp28
      | hskp22 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c0_1(X102)
            | ~ c1_1(X102)
            | c2_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | c0_1(X101) ) )
      | hskp10 )
    & ( ( ndr1_0
        & c0_1(a138)
        & ~ c2_1(a138)
        & c3_1(a138) )
      | ~ hskp22 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | ~ c0_1(X99)
            | ~ c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c0_1(X100)
            | c3_1(X100)
            | ~ c1_1(X100) ) )
      | hskp11 )
    & ( ( ndr1_0
        & ~ c1_1(a132)
        & ~ c2_1(a132)
        & ~ c3_1(a132) )
      | ~ hskp20 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c1_1(X109)
            | ~ c3_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c3_1(X110)
            | ~ c2_1(X110) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | c1_1(X108)
            | ~ c2_1(X108) ) ) )
    & ( hskp22
      | hskp21
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c1_1(X53)
            | c3_1(X53) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c3_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c0_1(X68)
            | c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | c3_1(X69)
            | c2_1(X69) ) ) )
    & ( hskp24
      | ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c2_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c0_1(X76)
            | c2_1(X76) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | c2_1(X118)
            | c0_1(X118) ) )
      | hskp11
      | hskp5 )
    & ( ( c2_1(a106)
        & c3_1(a106)
        & ~ c0_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c1_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | hskp18
      | hskp19 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a110)
        & c1_1(a110)
        & ~ c3_1(a110) ) )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c1_1(X117)
            | ~ c0_1(X117)
            | c3_1(X117) ) )
      | hskp29
      | hskp0 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & ndr1_0
        & c0_1(a116) )
      | ~ hskp13 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c1_1(X33)
            | ~ c2_1(X33) ) )
      | hskp1
      | ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | c0_1(X32)
            | ~ c2_1(X32) ) ) )
    & ( ~ hskp19
      | ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 ) )
    & ( hskp9
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c3_1(X63)
            | c0_1(X63) ) )
      | hskp6 )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c1_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c0_1(X40)
            | c2_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c1_1(X39)
            | c2_1(X39) ) ) )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c2_1(X57)
            | c1_1(X57) ) )
      | hskp3
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp1
      | ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c0_1(X79)
            | ~ c2_1(X79) ) ) )
    & ( hskp17
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c0_1(X104)
            | ~ c3_1(X104) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | c3_1(X103)
            | c1_1(X103) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | ~ c0_1(X49)
            | c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | ~ c3_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c0_1(X51)
            | c1_1(X51) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c1_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | ~ c3_1(X48)
            | ~ c2_1(X48) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c0_1(X28)
            | ~ c3_1(X28) ) )
      | hskp0
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( c2_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | ~ c2_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | ~ c0_1(X20) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c1_1(X34)
            | c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | hskp0 )
    & ( ( c3_1(a145)
        & ndr1_0
        & ~ c0_1(a145)
        & c1_1(a145) )
      | ~ hskp23 )
    & ( hskp4
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c1_1(X86)
            | ~ c2_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c0_1(X85)
            | c2_1(X85) ) ) )
    & ( ~ hskp11
      | ( ~ c1_1(a112)
        & ndr1_0
        & ~ c0_1(a112)
        & c3_1(a112) ) )
    & ( hskp27
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | ~ c0_1(X41)
            | ~ c1_1(X41) ) )
      | hskp19 )
    & ( ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | c3_1(X3)
            | ~ c2_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | ~ c1_1(X2)
            | c3_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | c2_1(X1) ) ) )
    & ( ~ hskp0
      | ( ~ c3_1(a97)
        & ndr1_0
        & ~ c2_1(a97)
        & c0_1(a97) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp1
          | hskp9
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c1_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | hskp20 )
        & ( hskp2
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c1_1(X30)
                | c2_1(X30) ) )
          | hskp21 )
        & ( hskp16
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) )
          | hskp2 )
        & ( ~ hskp6
          | ( c1_1(a105)
            & c2_1(a105)
            & ndr1_0
            & ~ c3_1(a105) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp11 )
        & ( hskp15
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c0_1(X106)
                | ~ c3_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) ) )
        & ( hskp27
          | hskp9
          | hskp2 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c3_1(X17)
                | c0_1(X17) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c0_1(X18)
                | ~ c2_1(X18) ) ) )
        & ( hskp6
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | c3_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp29
          | hskp27
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | ~ c1_1(X62)
                | ~ c2_1(X62) ) ) )
        & ( ( ndr1_0
            & c1_1(a108)
            & c2_1(a108)
            & ~ c0_1(a108) )
          | ~ hskp9 )
        & ( ~ hskp8
          | ( c3_1(a107)
            & ~ c0_1(a107)
            & ~ c2_1(a107)
            & ndr1_0 ) )
        & ( hskp7
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c0_1(X0)
                | c1_1(X0) ) )
          | hskp4 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c3_1(X71)
                | c0_1(X71) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c0_1(X73)
                | c2_1(X73) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp2
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) ) )
        & ( hskp17
          | hskp19
          | hskp18 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) ) )
        & ( hskp14
          | hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c3_1(X88)
                | c0_1(X88) ) ) )
        & ( ~ hskp27
          | ( c0_1(a101)
            & c1_1(a101)
            & ndr1_0
            & c3_1(a101) ) )
        & ( ( c0_1(a103)
            & ~ c3_1(a103)
            & ndr1_0
            & c2_1(a103) )
          | ~ hskp4 )
        & ( ( c0_1(a98)
            & ndr1_0
            & ~ c1_1(a98)
            & ~ c3_1(a98) )
          | ~ hskp1 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) )
          | hskp11
          | hskp18 )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | hskp7
          | hskp20 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c0_1(X59)
                | ~ c3_1(X59) ) )
          | hskp13
          | hskp5 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c3_1(X25)
                | ~ c0_1(X25) ) )
          | hskp4
          | hskp7 )
        & ( ( c2_1(a166)
            & ndr1_0
            & c0_1(a166)
            & c3_1(a166) )
          | ~ hskp29 )
        & ( ~ hskp16
          | ( ~ c1_1(a122)
            & ndr1_0
            & c0_1(a122)
            & ~ c2_1(a122) ) )
        & ( hskp1
          | ! [X107] :
              ( ndr1_0
             => ( c0_1(X107)
                | c2_1(X107)
                | c1_1(X107) ) )
          | hskp2 )
        & ( hskp5
          | hskp26
          | hskp25 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c2_1(X94)
                | ~ c0_1(X94) ) )
          | hskp20
          | hskp6 )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c3_1(a147)
            & ~ c0_1(a147)
            & ~ c1_1(a147) ) )
        & ( hskp12
          | hskp13 )
        & ( hskp11
          | hskp0
          | hskp22 )
        & ( hskp13
          | hskp8
          | hskp18 )
        & ( ( ndr1_0
            & ~ c2_1(a120)
            & ~ c0_1(a120)
            & ~ c1_1(a120) )
          | ~ hskp14 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | ~ c2_1(X4) ) )
          | hskp27
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c3_1(X5)
                | c1_1(X5) ) ) )
        & ( hskp15
          | ! [X114] :
              ( ndr1_0
             => ( c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | c3_1(X113)
                | ~ c2_1(X113) ) ) )
        & ( hskp8
          | hskp19
          | hskp15 )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a99)
            & c2_1(a99)
            & ~ c0_1(a99) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c3_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | hskp17
          | hskp23 )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | ~ c2_1(X31) ) )
          | hskp25
          | hskp16 )
        & ( hskp4
          | hskp18
          | hskp20 )
        & ( ( ndr1_0
            & ~ c1_1(a136)
            & c3_1(a136)
            & ~ c2_1(a136) )
          | ~ hskp21 )
        & ( hskp19
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c3_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c0_1(X95)
                | ~ c1_1(X95) ) )
          | hskp16
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | c3_1(X96) ) ) )
        & ( ( ~ c2_1(a121)
            & ~ c0_1(a121)
            & ndr1_0
            & ~ c3_1(a121) )
          | ~ hskp15 )
        & ( hskp6
          | hskp22
          | ! [X116] :
              ( ndr1_0
             => ( c1_1(X116)
                | ~ c3_1(X116)
                | c2_1(X116) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c3_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c3_1(X45)
                | ~ c0_1(X45) ) )
          | hskp18 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | ~ c1_1(X97) ) )
          | hskp18
          | hskp8 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c0_1(X120)
                | ~ c1_1(X120) ) )
          | ! [X119] :
              ( ndr1_0
             => ( c0_1(X119)
                | ~ c2_1(X119)
                | ~ c1_1(X119) ) )
          | hskp12 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c1_1(X93)
                | c3_1(X93) ) )
          | hskp0 )
        & ( ~ hskp12
          | ( c1_1(a113)
            & c0_1(a113)
            & ~ c2_1(a113)
            & ndr1_0 ) )
        & ( ~ hskp18
          | ( c2_1(a129)
            & ~ c1_1(a129)
            & ndr1_0
            & c0_1(a129) ) )
        & ( ~ hskp25
          | ( ~ c3_1(a173)
            & ~ c0_1(a173)
            & c1_1(a173)
            & ndr1_0 ) )
        & ( hskp1
          | ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c3_1(X92)
                | ~ c2_1(X92) ) )
          | hskp19 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c0_1(X64)
                | ~ c1_1(X64) ) )
          | hskp10 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c0_1(X11)
                | ~ c1_1(X11) ) ) )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) )
          | hskp5
          | hskp4 )
        & ( ( ~ c1_1(a124)
            & ndr1_0
            & c2_1(a124)
            & ~ c3_1(a124) )
          | ~ hskp17 )
        & ( hskp9
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c0_1(X58)
                | ~ c3_1(X58) ) )
          | hskp17 )
        & ( hskp17
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | ~ c2_1(X98) ) )
          | hskp3 )
        & ( hskp16
          | hskp10
          | hskp8 )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c1_1(a100)
            & c3_1(a100)
            & c2_1(a100) ) )
        & ( ( c1_1(a137)
            & c0_1(a137)
            & c2_1(a137)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | ~ c0_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c2_1(X55)
                | c1_1(X55) ) )
          | hskp1 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c3_1(X61)
                | c0_1(X61) ) )
          | hskp8
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c3_1(X60)
                | c1_1(X60) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) )
          | hskp10
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c0_1(X24)
                | c3_1(X24) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a195)
            & c0_1(a195)
            & c3_1(a195) )
          | ~ hskp26 )
        & ( hskp7
          | ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | c1_1(X87)
                | ~ c2_1(X87) ) )
          | hskp6 )
        & ( hskp6
          | hskp15
          | hskp16 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | ~ c2_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c2_1(X16)
                | ~ c3_1(X16) ) ) )
        & ( ~ hskp5
          | ( c2_1(a104)
            & ndr1_0
            & ~ c0_1(a104)
            & ~ c3_1(a104) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c0_1(X91) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | ~ c3_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c0_1(X90)
                | c3_1(X90) ) ) )
        & ( hskp4
          | hskp28
          | hskp22 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c0_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | c0_1(X101) ) )
          | hskp10 )
        & ( ( ndr1_0
            & c0_1(a138)
            & ~ c2_1(a138)
            & c3_1(a138) )
          | ~ hskp22 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c0_1(X100)
                | c3_1(X100)
                | ~ c1_1(X100) ) )
          | hskp11 )
        & ( ( ndr1_0
            & ~ c1_1(a132)
            & ~ c2_1(a132)
            & ~ c3_1(a132) )
          | ~ hskp20 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c1_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c3_1(X110)
                | ~ c2_1(X110) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | c1_1(X108)
                | ~ c2_1(X108) ) ) )
        & ( hskp22
          | hskp21
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c1_1(X53)
                | c3_1(X53) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c3_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c0_1(X68)
                | c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) ) )
        & ( hskp24
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c2_1(X76) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | c2_1(X118)
                | c0_1(X118) ) )
          | hskp11
          | hskp5 )
        & ( ( c2_1(a106)
            & c3_1(a106)
            & ~ c0_1(a106)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | hskp18
          | hskp19 )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c2_1(a110)
            & c1_1(a110)
            & ~ c3_1(a110) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) )
          | hskp29
          | hskp0 )
        & ( ( ~ c3_1(a116)
            & c1_1(a116)
            & ndr1_0
            & c0_1(a116) )
          | ~ hskp13 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c1_1(X33)
                | ~ c2_1(X33) ) )
          | hskp1
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c0_1(X32)
                | ~ c2_1(X32) ) ) )
        & ( ~ hskp19
          | ( ~ c2_1(a130)
            & c3_1(a130)
            & c1_1(a130)
            & ndr1_0 ) )
        & ( hskp9
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c3_1(X63)
                | c0_1(X63) ) )
          | hskp6 )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c0_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c1_1(X39)
                | c2_1(X39) ) ) )
        & ( hskp15
          | hskp8
          | hskp22 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c2_1(X57)
                | c1_1(X57) ) )
          | hskp3
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp1
          | ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c0_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( hskp17
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c0_1(X104)
                | ~ c3_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c3_1(X103)
                | c1_1(X103) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c0_1(X49)
                | c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c3_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c1_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | ~ c3_1(X48)
                | ~ c2_1(X48) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c0_1(X28)
                | ~ c3_1(X28) ) )
          | hskp0
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | ~ c0_1(X20) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c1_1(X34)
                | c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | hskp0 )
        & ( ( c3_1(a145)
            & ndr1_0
            & ~ c0_1(a145)
            & c1_1(a145) )
          | ~ hskp23 )
        & ( hskp4
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c1_1(X86)
                | ~ c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) ) )
        & ( ~ hskp11
          | ( ~ c1_1(a112)
            & ndr1_0
            & ~ c0_1(a112)
            & c3_1(a112) ) )
        & ( hskp27
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c0_1(X41)
                | ~ c1_1(X41) ) )
          | hskp19 )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | c3_1(X3)
                | ~ c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c1_1(X2)
                | c3_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | c2_1(X1) ) ) )
        & ( ~ hskp0
          | ( ~ c3_1(a97)
            & ndr1_0
            & ~ c2_1(a97)
            & c0_1(a97) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp25
          | ( ~ c3_1(a173)
            & ~ c0_1(a173)
            & c1_1(a173)
            & ndr1_0 ) )
        & ( hskp7
          | hskp4
          | ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c2_1(X101)
                | ~ c0_1(X101) ) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c1_1(a100)
            & c3_1(a100)
            & c2_1(a100) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c1_1(X67)
                | ~ c2_1(X67) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | ~ c3_1(X18)
                | c1_1(X18) ) )
          | hskp27 )
        & ( ( ndr1_0
            & c1_1(a108)
            & c2_1(a108)
            & ~ c0_1(a108) )
          | ~ hskp9 )
        & ( ~ hskp8
          | ( c3_1(a107)
            & ~ c0_1(a107)
            & ~ c2_1(a107)
            & ndr1_0 ) )
        & ( hskp11
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) )
          | hskp18 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c0_1(X2)
                | c3_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c0_1(X0)
                | c2_1(X0) ) ) )
        & ( hskp5
          | hskp26
          | hskp25 )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c2_1(a110)
            & c1_1(a110)
            & ~ c3_1(a110) ) )
        & ( ( ndr1_0
            & ~ c1_1(a136)
            & c3_1(a136)
            & ~ c2_1(a136) )
          | ~ hskp21 )
        & ( hskp4
          | hskp28
          | hskp22 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c0_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c2_1(X53)
                | ~ c1_1(X53) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c3_1(a147)
            & ~ c0_1(a147)
            & ~ c1_1(a147) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) )
          | hskp16
          | hskp2 )
        & ( ( ndr1_0
            & ~ c1_1(a195)
            & c0_1(a195)
            & c3_1(a195) )
          | ~ hskp26 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c1_1(X90) ) ) )
        & ( hskp16
          | hskp10
          | hskp8 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c0_1(X30)
                | ~ c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c3_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | hskp10 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c3_1(X108) ) )
          | hskp7
          | hskp4 )
        & ( hskp7
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c2_1(X107)
                | ~ c0_1(X107) ) )
          | hskp20 )
        & ( ( ~ c1_1(a124)
            & ndr1_0
            & c2_1(a124)
            & ~ c3_1(a124) )
          | ~ hskp17 )
        & ( ( c0_1(a98)
            & ndr1_0
            & ~ c1_1(a98)
            & ~ c3_1(a98) )
          | ~ hskp1 )
        & ( ( c2_1(a106)
            & c3_1(a106)
            & ~ c0_1(a106)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) )
          | hskp19
          | hskp18 )
        & ( ~ hskp19
          | ( ~ c2_1(a130)
            & c3_1(a130)
            & c1_1(a130)
            & ndr1_0 ) )
        & ( ( c0_1(a103)
            & ~ c3_1(a103)
            & ndr1_0
            & c2_1(a103) )
          | ~ hskp4 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) )
          | hskp0
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp2
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) )
          | hskp21 )
        & ( hskp25
          | ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | c3_1(X118)
                | ~ c2_1(X118) ) )
          | hskp16 )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c0_1(X19)
                | c1_1(X19) ) )
          | hskp1
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c3_1(X20) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) )
          | hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) ) )
        & ( ( ~ c3_1(a116)
            & c1_1(a116)
            & ndr1_0
            & c0_1(a116) )
          | ~ hskp13 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c0_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) )
          | hskp19 )
        & ( ~ hskp0
          | ( ~ c3_1(a97)
            & ndr1_0
            & ~ c2_1(a97)
            & c0_1(a97) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c0_1(X39)
                | c2_1(X39) ) ) )
        & ( hskp19
          | hskp27
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | c3_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp20
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c1_1(X76)
                | c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c3_1(X77)
                | ~ c0_1(X77) ) ) )
        & ( hskp18
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c3_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c1_1(X86)
                | ~ c0_1(X86) ) ) )
        & ( ( c3_1(a145)
            & ndr1_0
            & ~ c0_1(a145)
            & c1_1(a145) )
          | ~ hskp23 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c1_1(X13)
                | c3_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c3_1(X85)
                | ~ c1_1(X85) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp23
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | hskp17 )
        & ( hskp22
          | hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c1_1(X91)
                | c3_1(X91) ) ) )
        & ( hskp12
          | hskp13 )
        & ( ~ hskp6
          | ( c1_1(a105)
            & c2_1(a105)
            & ndr1_0
            & ~ c3_1(a105) ) )
        & ( ( ndr1_0
            & ~ c1_1(a132)
            & ~ c2_1(a132)
            & ~ c3_1(a132) )
          | ~ hskp20 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c2_1(X99) ) )
          | hskp1 )
        & ( hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c0_1(X15)
                | ~ c2_1(X15) ) ) )
        & ( ~ hskp11
          | ( ~ c1_1(a112)
            & ndr1_0
            & ~ c0_1(a112)
            & c3_1(a112) ) )
        & ( hskp17
          | hskp9
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c3_1(X64)
                | ~ c2_1(X64) ) ) )
        & ( hskp11
          | hskp0
          | hskp22 )
        & ( hskp13
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c3_1(X47)
                | c0_1(X47) ) )
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c2_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c0_1(X23)
                | c1_1(X23) ) )
          | hskp8 )
        & ( ~ hskp16
          | ( ~ c1_1(a122)
            & ndr1_0
            & c0_1(a122)
            & ~ c2_1(a122) ) )
        & ( hskp27
          | hskp29
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | ~ c3_1(X25)
                | c0_1(X25) ) )
          | hskp9
          | hskp6 )
        & ( ~ hskp18
          | ( c2_1(a129)
            & ~ c1_1(a129)
            & ndr1_0
            & c0_1(a129) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) )
          | hskp10
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | ~ c0_1(X43)
                | ~ c3_1(X43) ) ) )
        & ( hskp27
          | hskp9
          | hskp2 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c3_1(X80)
                | c1_1(X80) ) )
          | hskp28 )
        & ( ( c1_1(a137)
            & c0_1(a137)
            & c2_1(a137)
            & ndr1_0 )
          | ~ hskp28 )
        & ( hskp6
          | hskp15
          | hskp16 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c0_1(X26)
                | c2_1(X26) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | ~ c0_1(X28) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c3_1(X45)
                | c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | ~ c3_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | c2_1(X109)
                | ~ c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c3_1(X110)
                | ~ c0_1(X110) ) )
          | hskp11 )
        & ( hskp15
          | hskp8
          | hskp22 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c3_1(X98)
                | c2_1(X98) ) )
          | hskp24
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c3_1(X62)
                | ~ c2_1(X62) ) )
          | hskp1
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c3_1(X63)
                | ~ c0_1(X63) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | ~ c1_1(X11)
                | c3_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | ~ c0_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( hskp2
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c1_1(X111)
                | c2_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp4
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c2_1(X72)
                | c3_1(X72) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | hskp7
          | hskp6 )
        & ( ~ hskp5
          | ( c2_1(a104)
            & ndr1_0
            & ~ c0_1(a104)
            & ~ c3_1(a104) ) )
        & ( hskp1
          | hskp14
          | ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp1
          | ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c3_1(X92)
                | ~ c2_1(X92) ) )
          | hskp19 )
        & ( hskp0
          | ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) ) )
        & ( hskp6
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | hskp20 )
        & ( hskp16
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c2_1(X57)
                | ~ c0_1(X57) ) ) )
        & ( ( ~ c2_1(a121)
            & ~ c0_1(a121)
            & ndr1_0
            & ~ c3_1(a121) )
          | ~ hskp15 )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a99)
            & c2_1(a99)
            & ~ c0_1(a99) ) )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | hskp18
          | hskp8 )
        & ( hskp3
          | hskp17
          | ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c3_1(X104)
                | ~ c2_1(X104) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a120)
            & ~ c0_1(a120)
            & ~ c1_1(a120) )
          | ~ hskp14 )
        & ( hskp13
          | hskp8
          | hskp18 )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | hskp11
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | hskp10 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | hskp17
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c0_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c3_1(X52)
                | ~ c2_1(X52) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c0_1(X5)
                | c1_1(X5) ) )
          | hskp1
          | hskp2 )
        & ( ~ hskp27
          | ( c0_1(a101)
            & c1_1(a101)
            & ndr1_0
            & c3_1(a101) ) )
        & ( hskp17
          | hskp19
          | hskp18 )
        & ( hskp4
          | hskp18
          | hskp20 )
        & ( hskp8
          | hskp19
          | hskp15 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c3_1(X96)
                | ~ c2_1(X96) ) ) )
        & ( hskp9
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c0_1(X120)
                | ~ c3_1(X120) ) )
          | hskp1 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | c3_1(X117)
                | ~ c0_1(X117) ) )
          | hskp6 )
        & ( ( c2_1(a166)
            & ndr1_0
            & c0_1(a166)
            & c3_1(a166) )
          | ~ hskp29 )
        & ( ( ndr1_0
            & c0_1(a138)
            & ~ c2_1(a138)
            & c3_1(a138) )
          | ~ hskp22 )
        & ( ~ hskp12
          | ( c1_1(a113)
            & c0_1(a113)
            & ~ c2_1(a113)
            & ndr1_0 ) )
        & ( hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp5
          | hskp4
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c0_1(X21)
                | c1_1(X21) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c3_1(X82)
                | c2_1(X82) ) )
          | hskp6
          | hskp22 )
        & ( hskp29
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c1_1(X114) ) )
          | hskp0 )
        & ( hskp5
          | hskp11
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | c0_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) )
          | hskp12 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ~ hskp25
        | ( ~ c3_1(a173)
          & ~ c0_1(a173)
          & c1_1(a173)
          & ndr1_0 ) )
      & ( hskp7
        | hskp4
        | ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c2_1(X101)
              | ~ c0_1(X101) ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c1_1(a100)
          & c3_1(a100)
          & c2_1(a100) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c3_1(X66)
              | ~ c1_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c1_1(X67)
              | ~ c2_1(X67) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c2_1(X17)
              | c1_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | ~ c3_1(X18)
              | c1_1(X18) ) )
        | hskp27 )
      & ( ( ndr1_0
          & c1_1(a108)
          & c2_1(a108)
          & ~ c0_1(a108) )
        | ~ hskp9 )
      & ( ~ hskp8
        | ( c3_1(a107)
          & ~ c0_1(a107)
          & ~ c2_1(a107)
          & ndr1_0 ) )
      & ( hskp11
        | ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) )
        | hskp18 )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c0_1(X2)
              | c3_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c0_1(X0)
              | c2_1(X0) ) ) )
      & ( hskp5
        | hskp26
        | hskp25 )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c2_1(a110)
          & c1_1(a110)
          & ~ c3_1(a110) ) )
      & ( ( ndr1_0
          & ~ c1_1(a136)
          & c3_1(a136)
          & ~ c2_1(a136) )
        | ~ hskp21 )
      & ( hskp4
        | hskp28
        | hskp22 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c0_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c2_1(X53)
              | ~ c1_1(X53) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c3_1(a147)
          & ~ c0_1(a147)
          & ~ c1_1(a147) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) )
        | hskp16
        | hskp2 )
      & ( ( ndr1_0
          & ~ c1_1(a195)
          & c0_1(a195)
          & c3_1(a195) )
        | ~ hskp26 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c1_1(X90) ) ) )
      & ( hskp16
        | hskp10
        | hskp8 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c0_1(X30)
              | ~ c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | ~ c3_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | hskp10 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c0_1(X108)
              | ~ c3_1(X108) ) )
        | hskp7
        | hskp4 )
      & ( hskp7
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | c2_1(X107)
              | ~ c0_1(X107) ) )
        | hskp20 )
      & ( ( ~ c1_1(a124)
          & ndr1_0
          & c2_1(a124)
          & ~ c3_1(a124) )
        | ~ hskp17 )
      & ( ( c0_1(a98)
          & ndr1_0
          & ~ c1_1(a98)
          & ~ c3_1(a98) )
        | ~ hskp1 )
      & ( ( c2_1(a106)
          & c3_1(a106)
          & ~ c0_1(a106)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) )
        | hskp19
        | hskp18 )
      & ( ~ hskp19
        | ( ~ c2_1(a130)
          & c3_1(a130)
          & c1_1(a130)
          & ndr1_0 ) )
      & ( ( c0_1(a103)
          & ~ c3_1(a103)
          & ndr1_0
          & c2_1(a103) )
        | ~ hskp4 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) )
        | hskp0
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp2
        | ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) )
        | hskp21 )
      & ( hskp25
        | ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | c3_1(X118)
              | ~ c2_1(X118) ) )
        | hskp16 )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c0_1(X19)
              | c1_1(X19) ) )
        | hskp1
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c3_1(X20) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) )
        | hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c2_1(X4)
              | c0_1(X4) ) ) )
      & ( ( ~ c3_1(a116)
          & c1_1(a116)
          & ndr1_0
          & c0_1(a116) )
        | ~ hskp13 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c0_1(X102)
              | ~ c3_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) )
        | hskp19 )
      & ( ~ hskp0
        | ( ~ c3_1(a97)
          & ndr1_0
          & ~ c2_1(a97)
          & c0_1(a97) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | ~ c1_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c0_1(X39)
              | c2_1(X39) ) ) )
      & ( hskp19
        | hskp27
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | c3_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp20
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c1_1(X76)
              | c2_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c3_1(X77)
              | ~ c0_1(X77) ) ) )
      & ( hskp18
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c3_1(X87)
              | ~ c1_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | c1_1(X86)
              | ~ c0_1(X86) ) ) )
      & ( ( c3_1(a145)
          & ndr1_0
          & ~ c0_1(a145)
          & c1_1(a145) )
        | ~ hskp23 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c1_1(X13)
              | c3_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | c3_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c3_1(X85)
              | ~ c1_1(X85) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp23
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) )
        | hskp17 )
      & ( hskp22
        | hskp21
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | c1_1(X91)
              | c3_1(X91) ) ) )
      & ( hskp12
        | hskp13 )
      & ( ~ hskp6
        | ( c1_1(a105)
          & c2_1(a105)
          & ndr1_0
          & ~ c3_1(a105) ) )
      & ( ( ndr1_0
          & ~ c1_1(a132)
          & ~ c2_1(a132)
          & ~ c3_1(a132) )
        | ~ hskp20 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c1_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c2_1(X99) ) )
        | hskp1 )
      & ( hskp3
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c1_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c0_1(X15)
              | ~ c2_1(X15) ) ) )
      & ( ~ hskp11
        | ( ~ c1_1(a112)
          & ndr1_0
          & ~ c0_1(a112)
          & c3_1(a112) ) )
      & ( hskp17
        | hskp9
        | ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c3_1(X64)
              | ~ c2_1(X64) ) ) )
      & ( hskp11
        | hskp0
        | hskp22 )
      & ( hskp13
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c3_1(X47)
              | c0_1(X47) ) )
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c2_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c0_1(X23)
              | c1_1(X23) ) )
        | hskp8 )
      & ( ~ hskp16
        | ( ~ c1_1(a122)
          & ndr1_0
          & c0_1(a122)
          & ~ c2_1(a122) ) )
      & ( hskp27
        | hskp29
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | ~ c3_1(X25)
              | c0_1(X25) ) )
        | hskp9
        | hskp6 )
      & ( ~ hskp18
        | ( c2_1(a129)
          & ~ c1_1(a129)
          & ndr1_0
          & c0_1(a129) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c1_1(X42) ) )
        | hskp10
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | ~ c0_1(X43)
              | ~ c3_1(X43) ) ) )
      & ( hskp27
        | hskp9
        | hskp2 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c3_1(X80)
              | c1_1(X80) ) )
        | hskp28 )
      & ( ( c1_1(a137)
          & c0_1(a137)
          & c2_1(a137)
          & ndr1_0 )
        | ~ hskp28 )
      & ( hskp6
        | hskp15
        | hskp16 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c0_1(X26)
              | c2_1(X26) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | ~ c0_1(X28) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c3_1(X45)
              | c0_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | ~ c3_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | c2_1(X109)
              | ~ c1_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | c3_1(X110)
              | ~ c0_1(X110) ) )
        | hskp11 )
      & ( hskp15
        | hskp8
        | hskp22 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c3_1(X98)
              | c2_1(X98) ) )
        | hskp24
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c0_1(X97)
              | c1_1(X97) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c3_1(X62)
              | ~ c2_1(X62) ) )
        | hskp1
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c3_1(X63)
              | ~ c0_1(X63) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | ~ c1_1(X11)
              | c3_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | ~ c0_1(X10)
              | ~ c3_1(X10) ) ) )
      & ( hskp2
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c1_1(X111)
              | c2_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c2_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp4
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c2_1(X72)
              | c3_1(X72) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | ~ c2_1(X22)
              | c1_1(X22) ) )
        | hskp7
        | hskp6 )
      & ( ~ hskp5
        | ( c2_1(a104)
          & ndr1_0
          & ~ c0_1(a104)
          & ~ c3_1(a104) ) )
      & ( hskp1
        | hskp14
        | ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c0_1(X6)
              | c1_1(X6) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c0_1(X8)
              | c3_1(X8) ) ) )
      & ( hskp1
        | ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c3_1(X92)
              | ~ c2_1(X92) ) )
        | hskp19 )
      & ( hskp0
        | ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c1_1(X116)
              | ~ c0_1(X116) ) ) )
      & ( hskp6
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) )
        | hskp20 )
      & ( hskp16
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c2_1(X57)
              | ~ c0_1(X57) ) ) )
      & ( ( ~ c2_1(a121)
          & ~ c0_1(a121)
          & ndr1_0
          & ~ c3_1(a121) )
        | ~ hskp15 )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a99)
          & c2_1(a99)
          & ~ c0_1(a99) ) )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) )
        | hskp18
        | hskp8 )
      & ( hskp3
        | hskp17
        | ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c3_1(X104)
              | ~ c2_1(X104) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a120)
          & ~ c0_1(a120)
          & ~ c1_1(a120) )
        | ~ hskp14 )
      & ( hskp13
        | hskp8
        | hskp18 )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) )
        | hskp11
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | hskp10 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) )
        | hskp17
        | ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) ) )
      & ( hskp15
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c0_1(X51)
              | ~ c1_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c3_1(X52)
              | ~ c2_1(X52) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c0_1(X5)
              | c1_1(X5) ) )
        | hskp1
        | hskp2 )
      & ( ~ hskp27
        | ( c0_1(a101)
          & c1_1(a101)
          & ndr1_0
          & c3_1(a101) ) )
      & ( hskp17
        | hskp19
        | hskp18 )
      & ( hskp4
        | hskp18
        | hskp20 )
      & ( hskp8
        | hskp19
        | hskp15 )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c2_1(X94)
              | c1_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | c1_1(X95)
              | ~ c3_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c3_1(X96)
              | ~ c2_1(X96) ) ) )
      & ( hskp9
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c0_1(X120)
              | ~ c3_1(X120) ) )
        | hskp1 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | c3_1(X117)
              | ~ c0_1(X117) ) )
        | hskp6 )
      & ( ( c2_1(a166)
          & ndr1_0
          & c0_1(a166)
          & c3_1(a166) )
        | ~ hskp29 )
      & ( ( ndr1_0
          & c0_1(a138)
          & ~ c2_1(a138)
          & c3_1(a138) )
        | ~ hskp22 )
      & ( ~ hskp12
        | ( c1_1(a113)
          & c0_1(a113)
          & ~ c2_1(a113)
          & ndr1_0 ) )
      & ( hskp15
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp5
        | hskp4
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c0_1(X21)
              | c1_1(X21) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c3_1(X82)
              | c2_1(X82) ) )
        | hskp6
        | hskp22 )
      & ( hskp29
        | ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c1_1(X114) ) )
        | hskp0 )
      & ( hskp5
        | hskp11
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | c0_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) )
        | hskp12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f981,plain,
    ( ~ spl0_25
    | spl0_152 ),
    inference(avatar_split_clause,[],[f168,f978,f314]) ).

fof(f314,plain,
    ( spl0_25
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f168,plain,
    ( c1_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f974,plain,
    ( spl0_151
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f116,f287,f971]) ).

fof(f287,plain,
    ( spl0_19
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f116,plain,
    ( ~ hskp2
    | c2_1(a99) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f969,plain,
    ( ~ spl0_43
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f155,f966,f391]) ).

fof(f391,plain,
    ( spl0_43
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f155,plain,
    ( ~ c3_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( ~ spl0_115
    | spl0_149 ),
    inference(avatar_split_clause,[],[f80,f961,f745]) ).

fof(f745,plain,
    ( spl0_115
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f80,plain,
    ( c2_1(a137)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( spl0_22
    | ~ spl0_12
    | spl0_25
    | spl0_38 ),
    inference(avatar_split_clause,[],[f7,f372,f314,f255,f301]) ).

fof(f301,plain,
    ( spl0_22
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f255,plain,
    ( spl0_12
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f7,plain,
    ! [X27] :
      ( c2_1(X27)
      | c3_1(X27)
      | hskp19
      | c1_1(X27)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f957,plain,
    ( ~ spl0_148
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f170,f314,f954]) ).

fof(f170,plain,
    ( ~ hskp19
    | ~ c2_1(a130) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f952,plain,
    ( spl0_147
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f158,f391,f949]) ).

fof(f158,plain,
    ( ~ hskp5
    | c2_1(a104) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_146
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f95,f529,f944]) ).

fof(f529,plain,
    ( spl0_72
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f95,plain,
    ( ~ hskp14
    | ~ c1_1(a120) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( spl0_41
    | ~ spl0_12
    | spl0_25
    | spl0_24 ),
    inference(avatar_split_clause,[],[f73,f310,f314,f255,f383]) ).

fof(f73,plain,
    ! [X41] :
      ( ~ c0_1(X41)
      | ~ c1_1(X41)
      | hskp19
      | c3_1(X41)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_12
    | spl0_1
    | spl0_50
    | spl0_85 ),
    inference(avatar_split_clause,[],[f64,f594,f421,f208,f255]) ).

fof(f208,plain,
    ( spl0_1
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f64,plain,
    ! [X28,X29] :
      ( ~ c0_1(X29)
      | ~ c3_1(X28)
      | c0_1(X28)
      | hskp0
      | ~ ndr1_0
      | c1_1(X29)
      | c3_1(X29)
      | ~ c1_1(X28) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_86
    | spl0_46 ),
    inference(avatar_split_clause,[],[f35,f406,f597,f255,f212]) ).

fof(f212,plain,
    ( spl0_2
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f35,plain,
    ! [X74,X75] :
      ( c3_1(X75)
      | ~ c1_1(X74)
      | ~ c0_1(X75)
      | ~ c2_1(X75)
      | ~ c3_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f931,plain,
    ( ~ spl0_11
    | spl0_144 ),
    inference(avatar_split_clause,[],[f164,f928,f251]) ).

fof(f251,plain,
    ( spl0_11
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f164,plain,
    ( c2_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_12
    | spl0_2
    | spl0_84
    | spl0_22 ),
    inference(avatar_split_clause,[],[f74,f301,f591,f212,f255]) ).

fof(f74,plain,
    ! [X6] :
      ( hskp18
      | c3_1(X6)
      | ~ c0_1(X6)
      | hskp11
      | ~ ndr1_0
      | c2_1(X6) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_138
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f188,f425,f898]) ).

fof(f425,plain,
    ( spl0_51
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f188,plain,
    ( ~ hskp7
    | ~ c0_1(a106) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_136
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f172,f548,f887]) ).

fof(f548,plain,
    ( spl0_76
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f172,plain,
    ( ~ hskp20
    | ~ c2_1(a132) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_134
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f135,f519,f877]) ).

fof(f519,plain,
    ( spl0_70
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f135,plain,
    ( ~ hskp21
    | ~ c2_1(a136) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( spl0_41
    | spl0_11
    | spl0_19 ),
    inference(avatar_split_clause,[],[f201,f287,f251,f383]) ).

fof(f201,plain,
    ( hskp2
    | hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_2
    | spl0_133 ),
    inference(avatar_split_clause,[],[f139,f870,f212]) ).

fof(f139,plain,
    ( c3_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_12
    | spl0_61
    | spl0_52
    | spl0_47 ),
    inference(avatar_split_clause,[],[f49,f409,f429,f470,f255]) ).

fof(f470,plain,
    ( spl0_61
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f49,plain,
    ! [X76,X77] :
      ( c1_1(X77)
      | c2_1(X76)
      | hskp24
      | ~ c2_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | ~ c0_1(X77)
      | ~ c0_1(X76) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f865,plain,
    ( spl0_132
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f194,f438,f862]) ).

fof(f438,plain,
    ( spl0_54
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f194,plain,
    ( ~ hskp1
    | c0_1(a98) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( ~ spl0_12
    | spl0_72
    | spl0_54
    | spl0_89 ),
    inference(avatar_split_clause,[],[f51,f613,f438,f529,f255]) ).

fof(f51,plain,
    ! [X88] :
      ( c3_1(X88)
      | ~ c2_1(X88)
      | hskp1
      | hskp14
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( spl0_19
    | ~ spl0_12
    | spl0_70
    | spl0_35 ),
    inference(avatar_split_clause,[],[f45,f361,f519,f255,f287]) ).

fof(f45,plain,
    ! [X30] :
      ( c2_1(X30)
      | c1_1(X30)
      | hskp21
      | ~ ndr1_0
      | hskp2
      | ~ c0_1(X30) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_131
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f140,f212,f852]) ).

fof(f140,plain,
    ( ~ hskp11
    | ~ c0_1(a112) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( spl0_19
    | ~ spl0_12
    | spl0_54
    | spl0_13 ),
    inference(avatar_split_clause,[],[f18,f260,f438,f255,f287]) ).

fof(f18,plain,
    ! [X107] :
      ( c2_1(X107)
      | c0_1(X107)
      | hskp1
      | ~ ndr1_0
      | hskp2
      | c1_1(X107) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_12
    | spl0_47
    | spl0_97
    | spl0_64 ),
    inference(avatar_split_clause,[],[f36,f485,f657,f409,f255]) ).

fof(f36,plain,
    ! [X108,X109,X110] :
      ( ~ c3_1(X110)
      | c1_1(X109)
      | ~ c2_1(X110)
      | c1_1(X108)
      | ~ c2_1(X109)
      | ~ c2_1(X108)
      | ~ c0_1(X108)
      | ~ ndr1_0
      | ~ c3_1(X109)
      | ~ c0_1(X110) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( spl0_59
    | ~ spl0_12
    | spl0_19
    | spl0_84 ),
    inference(avatar_split_clause,[],[f12,f591,f287,f255,f461]) ).

fof(f461,plain,
    ( spl0_59
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f12,plain,
    ! [X13] :
      ( c2_1(X13)
      | hskp2
      | ~ ndr1_0
      | hskp16
      | c3_1(X13)
      | ~ c0_1(X13) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( spl0_1
    | ~ spl0_12
    | spl0_24 ),
    inference(avatar_split_clause,[],[f48,f310,f255,f208]) ).

fof(f48,plain,
    ! [X93] :
      ( c3_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | ~ c0_1(X93)
      | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f833,plain,
    ( spl0_42
    | ~ spl0_12
    | spl0_54
    | spl0_37 ),
    inference(avatar_split_clause,[],[f26,f368,f438,f255,f388]) ).

fof(f26,plain,
    ! [X32,X33] :
      ( ~ c2_1(X33)
      | c1_1(X33)
      | c3_1(X33)
      | hskp1
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c0_1(X32)
      | c1_1(X32) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( spl0_12
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f90,f216,f255]) ).

fof(f216,plain,
    ( spl0_3
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f90,plain,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_128
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f208,f823]) ).

fof(f180,plain,
    ( ~ hskp0
    | ~ c2_1(a97) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_59
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f123,f818,f461]) ).

fof(f123,plain,
    ( ~ c2_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f811,plain,
    ( spl0_115
    | spl0_36
    | spl0_3 ),
    inference(avatar_split_clause,[],[f202,f216,f364,f745]) ).

fof(f364,plain,
    ( spl0_36
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f202,plain,
    ( hskp22
    | hskp4
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( spl0_22
    | spl0_56
    | ~ spl0_12
    | spl0_24 ),
    inference(avatar_split_clause,[],[f21,f310,f255,f447,f301]) ).

fof(f447,plain,
    ( spl0_56
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f21,plain,
    ! [X97] :
      ( c3_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | hskp8
      | hskp18
      | ~ c1_1(X97) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f807,plain,
    ( ~ spl0_12
    | spl0_5
    | spl0_11
    | spl0_39 ),
    inference(avatar_split_clause,[],[f17,f375,f251,f225,f255]) ).

fof(f225,plain,
    ( spl0_5
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f17,plain,
    ! [X58] :
      ( ~ c3_1(X58)
      | hskp9
      | hskp17
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c0_1(X58) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( ~ spl0_125
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f171,f548,f803]) ).

fof(f171,plain,
    ( ~ hskp20
    | ~ c3_1(a132) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f780,plain,
    ( ~ spl0_120
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f88,f216,f777]) ).

fof(f88,plain,
    ( ~ hskp22
    | ~ c2_1(a138) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_12
    | spl0_44
    | spl0_59
    | spl0_46 ),
    inference(avatar_split_clause,[],[f38,f406,f461,f396,f255]) ).

fof(f38,plain,
    ! [X96,X95] :
      ( ~ c2_1(X96)
      | ~ c0_1(X96)
      | hskp16
      | c3_1(X96)
      | c0_1(X95)
      | ~ c2_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( spl0_36
    | spl0_76
    | spl0_22 ),
    inference(avatar_split_clause,[],[f204,f301,f548,f364]) ).

fof(f204,plain,
    ( hskp18
    | hskp20
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f769,plain,
    ( ~ spl0_115
    | spl0_12 ),
    inference(avatar_split_clause,[],[f79,f255,f745]) ).

fof(f79,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_36
    | spl0_118 ),
    inference(avatar_split_clause,[],[f146,f762,f364]) ).

fof(f146,plain,
    ( c0_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_22
    | spl0_117 ),
    inference(avatar_split_clause,[],[f91,f757,f301]) ).

fof(f91,plain,
    ( c0_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( ~ spl0_19
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f115,f752,f287]) ).

fof(f115,plain,
    ( ~ c0_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( spl0_54
    | ~ spl0_12
    | spl0_39
    | spl0_64 ),
    inference(avatar_split_clause,[],[f39,f485,f375,f255,f438]) ).

fof(f39,plain,
    ! [X78,X79] :
      ( ~ c2_1(X79)
      | ~ c3_1(X78)
      | c0_1(X78)
      | ~ c3_1(X79)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | hskp1
      | ~ c0_1(X79) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( spl0_114
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f81,f745,f741]) ).

fof(f81,plain,
    ( ~ hskp28
    | c0_1(a137) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( ~ spl0_2
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f142,f736,f212]) ).

fof(f142,plain,
    ( ~ c1_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f182,f716,f208]) ).

fof(f182,plain,
    ( ~ c3_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_36
    | spl0_12 ),
    inference(avatar_split_clause,[],[f144,f255,f364]) ).

fof(f144,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f701,plain,
    ( spl0_5
    | spl0_25
    | spl0_22 ),
    inference(avatar_split_clause,[],[f200,f301,f314,f225]) ).

fof(f200,plain,
    ( hskp18
    | hskp19
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( ~ spl0_61
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f104,f697,f470]) ).

fof(f104,plain,
    ( ~ c0_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( spl0_103
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f89,f216,f683]) ).

fof(f89,plain,
    ( ~ hskp22
    | c0_1(a138) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_43
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f156,f678,f391]) ).

fof(f156,plain,
    ( ~ c0_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_8
    | spl0_98 ),
    inference(avatar_split_clause,[],[f101,f661,f239]) ).

fof(f239,plain,
    ( spl0_8
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f101,plain,
    ( c2_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_36
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f145,f652,f364]) ).

fof(f145,plain,
    ( ~ c3_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( spl0_36
    | spl0_51
    | ~ spl0_12
    | spl0_47 ),
    inference(avatar_split_clause,[],[f57,f409,f255,f425,f364]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp7
      | hskp4
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( spl0_95
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f124,f461,f646]) ).

fof(f124,plain,
    ( ~ hskp16
    | c0_1(a122) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f644,plain,
    ( ~ spl0_94
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f137,f519,f641]) ).

fof(f137,plain,
    ( ~ hskp21
    | ~ c1_1(a136) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( spl0_93
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f162,f447,f636]) ).

fof(f162,plain,
    ( ~ hskp8
    | c3_1(a107) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( spl0_92
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f165,f251,f630]) ).

fof(f165,plain,
    ( ~ hskp9
    | c1_1(a108) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_41
    | spl0_90 ),
    inference(avatar_split_clause,[],[f121,f620,f383]) ).

fof(f121,plain,
    ( c1_1(a101)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f615,plain,
    ( ~ spl0_12
    | spl0_89
    | spl0_13
    | spl0_42 ),
    inference(avatar_split_clause,[],[f25,f388,f260,f613,f255]) ).

fof(f25,plain,
    ! [X8,X9,X7] :
      ( c1_1(X7)
      | c1_1(X9)
      | c0_1(X7)
      | c3_1(X8)
      | ~ c2_1(X8)
      | c0_1(X8)
      | c0_1(X9)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c2_1(X9) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_87
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f163,f251,f603]) ).

fof(f163,plain,
    ( ~ hskp9
    | ~ c0_1(a108) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_12
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(avatar_split_clause,[],[f52,f597,f594,f591,f255]) ).

fof(f52,plain,
    ! [X50,X51,X49] :
      ( ~ c1_1(X50)
      | c3_1(X51)
      | ~ c3_1(X50)
      | c2_1(X49)
      | c1_1(X51)
      | c3_1(X49)
      | ~ c0_1(X49)
      | c2_1(X50)
      | ~ c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( spl0_83
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f190,f425,f586]) ).

fof(f190,plain,
    ( ~ hskp7
    | c2_1(a106) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_61
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f103,f575,f470]) ).

fof(f103,plain,
    ( ~ c1_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_76
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f173,f570,f548]) ).

fof(f173,plain,
    ( ~ c1_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_1
    | spl0_79 ),
    inference(avatar_split_clause,[],[f179,f565,f208]) ).

fof(f179,plain,
    ( c0_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( spl0_51
    | ~ spl0_12
    | spl0_8
    | spl0_42 ),
    inference(avatar_split_clause,[],[f41,f388,f239,f255,f425]) ).

fof(f41,plain,
    ! [X87] :
      ( c1_1(X87)
      | hskp6
      | ~ c2_1(X87)
      | c0_1(X87)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f561,plain,
    ( ~ spl0_72
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f96,f558,f529]) ).

fof(f96,plain,
    ( ~ c0_1(a120)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( spl0_75
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f94,f301,f543]) ).

fof(f94,plain,
    ( ~ hskp18
    | c2_1(a129) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( ~ spl0_70
    | spl0_74 ),
    inference(avatar_split_clause,[],[f136,f538,f519]) ).

fof(f136,plain,
    ( c3_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f97,f533,f529]) ).

fof(f97,plain,
    ( ~ c2_1(a120)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f527,plain,
    ( ~ spl0_71
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f191,f438,f524]) ).

fof(f191,plain,
    ( ~ hskp1
    | ~ c3_1(a98) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( ~ spl0_12
    | spl0_37
    | spl0_3
    | spl0_70 ),
    inference(avatar_split_clause,[],[f19,f519,f216,f368,f255]) ).

fof(f19,plain,
    ! [X53] :
      ( hskp21
      | hskp22
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c1_1(X53)
      | c3_1(X53) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( spl0_41
    | spl0_42
    | spl0_49
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f56,f255,f418,f388,f383]) ).

fof(f56,plain,
    ! [X4,X5] :
      ( ~ ndr1_0
      | ~ c3_1(X5)
      | ~ c2_1(X4)
      | c1_1(X5)
      | c2_1(X5)
      | c0_1(X4)
      | c1_1(X4)
      | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( spl0_69
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f87,f216,f512]) ).

fof(f87,plain,
    ( ~ hskp22
    | c3_1(a138) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( ~ spl0_5
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f78,f506,f225]) ).

fof(f78,plain,
    ( ~ c1_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( ~ spl0_66
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f105,f470,f495]) ).

fof(f105,plain,
    ( ~ hskp24
    | ~ c3_1(a147) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( ~ spl0_8
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f99,f490,f239]) ).

fof(f99,plain,
    ( ~ c3_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( spl0_56
    | ~ spl0_12
    | spl0_10
    | spl0_49 ),
    inference(avatar_split_clause,[],[f66,f418,f248,f255,f447]) ).

fof(f66,plain,
    ! [X60,X61] :
      ( ~ c3_1(X60)
      | c0_1(X61)
      | ~ ndr1_0
      | c1_1(X60)
      | c1_1(X61)
      | ~ c3_1(X61)
      | hskp8
      | c2_1(X60) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_11
    | ~ spl0_12
    | spl0_64
    | spl0_54 ),
    inference(avatar_split_clause,[],[f30,f438,f485,f255,f251]) ).

fof(f30,plain,
    ! [X111] :
      ( hskp1
      | ~ c3_1(X111)
      | ~ ndr1_0
      | ~ c2_1(X111)
      | hskp9
      | ~ c0_1(X111) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( ~ spl0_63
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f160,f447,f480]) ).

fof(f160,plain,
    ( ~ hskp8
    | ~ c2_1(a107) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( ~ spl0_54
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f192,f475,f438]) ).

fof(f192,plain,
    ( ~ c1_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( ~ spl0_59
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f126,f465,f461]) ).

fof(f126,plain,
    ( ~ c1_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f161,f447,f443]) ).

fof(f161,plain,
    ( ~ hskp8
    | ~ c0_1(a107) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( ~ spl0_12
    | spl0_54
    | spl0_24
    | spl0_47 ),
    inference(avatar_split_clause,[],[f67,f409,f310,f438,f255]) ).

fof(f67,plain,
    ! [X54,X55] :
      ( ~ c0_1(X55)
      | ~ c0_1(X54)
      | c1_1(X55)
      | hskp1
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | ~ c1_1(X54) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_53
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f189,f425,f433]) ).

fof(f189,plain,
    ( ~ hskp7
    | c3_1(a106) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_36
    | ~ spl0_12
    | spl0_51
    | spl0_52 ),
    inference(avatar_split_clause,[],[f14,f429,f425,f255,f364]) ).

fof(f14,plain,
    ! [X25] :
      ( c2_1(X25)
      | hskp7
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( ~ spl0_12
    | spl0_49
    | spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f68,f421,f263,f418,f255]) ).

fof(f68,plain,
    ! [X72,X73,X71] :
      ( c0_1(X71)
      | ~ c3_1(X73)
      | c2_1(X72)
      | c2_1(X73)
      | ~ c3_1(X72)
      | c1_1(X72)
      | c0_1(X73)
      | ~ c3_1(X71)
      | ~ c1_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f416,plain,
    ( spl0_48
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f143,f364,f413]) ).

fof(f143,plain,
    ( ~ hskp4
    | c2_1(a103) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f411,plain,
    ( ~ spl0_12
    | spl0_46
    | spl0_35
    | spl0_47 ),
    inference(avatar_split_clause,[],[f46,f409,f361,f406,f255]) ).

fof(f46,plain,
    ! [X21,X22,X20] :
      ( ~ c2_1(X20)
      | c2_1(X22)
      | c1_1(X22)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | c1_1(X20)
      | ~ c0_1(X22)
      | ~ c0_1(X20)
      | c3_1(X21) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( ~ spl0_12
    | spl0_42
    | spl0_43
    | spl0_36 ),
    inference(avatar_split_clause,[],[f55,f364,f391,f388,f255]) ).

fof(f55,plain,
    ! [X115] :
      ( hskp4
      | hskp5
      | c0_1(X115)
      | c1_1(X115)
      | ~ c2_1(X115)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f122,f383,f379]) ).

fof(f122,plain,
    ( ~ hskp27
    | c0_1(a101) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f377,plain,
    ( spl0_5
    | spl0_38
    | ~ spl0_12
    | spl0_39 ),
    inference(avatar_split_clause,[],[f50,f375,f255,f372,f225]) ).

fof(f50,plain,
    ! [X104,X103] :
      ( ~ c2_1(X104)
      | c0_1(X104)
      | ~ ndr1_0
      | c3_1(X103)
      | c2_1(X103)
      | ~ c3_1(X104)
      | hskp17
      | c1_1(X103) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( spl0_35
    | ~ spl0_12
    | spl0_36
    | spl0_37 ),
    inference(avatar_split_clause,[],[f71,f368,f364,f255,f361]) ).

fof(f71,plain,
    ! [X86,X85] :
      ( c3_1(X86)
      | ~ c2_1(X86)
      | hskp4
      | ~ ndr1_0
      | c2_1(X85)
      | c1_1(X85)
      | ~ c0_1(X85)
      | c1_1(X86) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f321,plain,
    ( ~ spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f169,f318,f314]) ).

fof(f169,plain,
    ( c3_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f308,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f93,f305,f301]) ).

fof(f93,plain,
    ( ~ c1_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f290,plain,
    ( ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f117,f287,f283]) ).

fof(f117,plain,
    ( ~ hskp2
    | ~ c1_1(a99) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f271,plain,
    ( spl0_15
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f76,f225,f268]) ).

fof(f76,plain,
    ( ~ hskp17
    | c2_1(a124) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f265,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_split_clause,[],[f27,f263,f255,f260,f208]) ).

fof(f27,plain,
    ! [X34,X35] :
      ( c2_1(X35)
      | ~ ndr1_0
      | c0_1(X35)
      | c2_1(X34)
      | ~ c3_1(X35)
      | hskp0
      | c0_1(X34)
      | c1_1(X34) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f258,plain,
    ( spl0_10
    | spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f70,f255,f251,f239,f248]) ).

fof(f70,plain,
    ! [X63] :
      ( ~ ndr1_0
      | hskp9
      | hskp6
      | c0_1(X63)
      | c1_1(X63)
      | ~ c3_1(X63) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f246,plain,
    ( ~ spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f102,f243,f239]) ).

fof(f102,plain,
    ( c1_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f228,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f75,f225,f221]) ).

fof(f75,plain,
    ( ~ hskp17
    | ~ c3_1(a124) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f219,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f205,f216,f212,f208]) ).

fof(f205,plain,
    ( hskp22
    | hskp11
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN501+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:57:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.54  % (32261)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54  % (32252)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (32244)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (32238)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.56  % (32259)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.57  Detected maximum model sizes of [30]
% 0.20/0.57  % (32251)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.77/0.59  % (32246)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.77/0.59  % (32246)Instruction limit reached!
% 1.77/0.59  % (32246)------------------------------
% 1.77/0.59  % (32246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (32246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (32246)Termination reason: Unknown
% 1.77/0.59  % (32246)Termination phase: shuffling
% 1.77/0.59  
% 1.77/0.59  % (32246)Memory used [KB]: 1023
% 1.77/0.59  % (32246)Time elapsed: 0.003 s
% 1.77/0.59  % (32246)Instructions burned: 2 (million)
% 1.77/0.59  % (32246)------------------------------
% 1.77/0.59  % (32246)------------------------------
% 1.77/0.59  TRYING [1]
% 1.77/0.59  % (32265)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.77/0.59  TRYING [2]
% 1.77/0.59  Detected maximum model sizes of [30]
% 1.77/0.59  TRYING [3]
% 1.77/0.60  % (32242)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.60  % (32240)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.77/0.60  % (32264)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.60  % (32245)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.96/0.60  % (32257)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.61  % (32253)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.96/0.61  TRYING [4]
% 1.96/0.61  % (32243)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.96/0.61  TRYING [1]
% 1.96/0.61  TRYING [2]
% 1.96/0.61  % (32263)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.96/0.61  % (32239)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.96/0.61  TRYING [3]
% 1.96/0.61  % (32267)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.96/0.62  % (32262)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.96/0.62  TRYING [4]
% 1.96/0.62  % (32249)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.63  % (32247)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.63  % (32245)Instruction limit reached!
% 1.96/0.63  % (32245)------------------------------
% 1.96/0.63  % (32245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.63  % (32245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.63  % (32245)Termination reason: Unknown
% 1.96/0.63  % (32245)Termination phase: Saturation
% 1.96/0.63  
% 1.96/0.63  % (32245)Memory used [KB]: 6012
% 1.96/0.63  % (32245)Time elapsed: 0.008 s
% 1.96/0.63  % (32245)Instructions burned: 7 (million)
% 1.96/0.63  % (32245)------------------------------
% 1.96/0.63  % (32245)------------------------------
% 1.96/0.63  % (32254)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.63  % (32248)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.23/0.64  % (32241)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.23/0.64  % (32255)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.23/0.64  % (32244)Instruction limit reached!
% 2.23/0.64  % (32244)------------------------------
% 2.23/0.64  % (32244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65  % (32244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65  % (32244)Termination reason: Unknown
% 2.23/0.65  % (32244)Termination phase: Finite model building constraint generation
% 2.23/0.65  
% 2.23/0.65  % (32244)Memory used [KB]: 6396
% 2.23/0.65  % (32244)Time elapsed: 0.185 s
% 2.23/0.65  % (32244)Instructions burned: 51 (million)
% 2.23/0.65  % (32244)------------------------------
% 2.23/0.65  % (32244)------------------------------
% 2.23/0.66  % (32258)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.23/0.66  % (32260)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 2.23/0.66  % (32266)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.23/0.66  % (32252)Instruction limit reached!
% 2.23/0.66  % (32252)------------------------------
% 2.23/0.66  % (32252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (32249)First to succeed.
% 2.23/0.67  % (32252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (32252)Termination reason: Unknown
% 2.23/0.67  % (32252)Termination phase: Saturation
% 2.23/0.67  
% 2.23/0.67  % (32252)Memory used [KB]: 6652
% 2.23/0.67  % (32252)Time elapsed: 0.055 s
% 2.23/0.67  % (32252)Instructions burned: 69 (million)
% 2.23/0.67  % (32252)------------------------------
% 2.23/0.67  % (32252)------------------------------
% 2.23/0.67  TRYING [5]
% 2.23/0.68  % (32250)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.23/0.69  Detected maximum model sizes of [30]
% 2.23/0.69  TRYING [1]
% 2.23/0.69  % (32256)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.23/0.69  TRYING [2]
% 2.23/0.71  % (32240)Instruction limit reached!
% 2.23/0.71  % (32240)------------------------------
% 2.23/0.71  % (32240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (32240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (32240)Termination reason: Unknown
% 2.23/0.71  % (32240)Termination phase: Saturation
% 2.23/0.71  
% 2.23/0.71  % (32240)Memory used [KB]: 1535
% 2.23/0.71  % (32240)Time elapsed: 0.272 s
% 2.23/0.71  % (32240)Instructions burned: 37 (million)
% 2.23/0.71  % (32240)------------------------------
% 2.23/0.71  % (32240)------------------------------
% 2.23/0.71  % (32243)Instruction limit reached!
% 2.23/0.71  % (32243)------------------------------
% 2.23/0.71  % (32243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (32243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (32243)Termination reason: Unknown
% 2.23/0.71  % (32243)Termination phase: Saturation
% 2.23/0.71  
% 2.23/0.71  % (32243)Memory used [KB]: 7164
% 2.23/0.71  % (32243)Time elapsed: 0.283 s
% 2.23/0.71  % (32243)Instructions burned: 49 (million)
% 2.23/0.71  % (32243)------------------------------
% 2.23/0.71  % (32243)------------------------------
% 2.23/0.72  % (32261)Also succeeded, but the first one will report.
% 2.23/0.72  % (32249)Refutation found. Thanks to Tanya!
% 2.23/0.72  % SZS status Theorem for theBenchmark
% 2.23/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.72  % (32249)------------------------------
% 2.23/0.72  % (32249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.72  % (32249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.72  % (32249)Termination reason: Refutation
% 2.23/0.72  
% 2.23/0.72  % (32249)Memory used [KB]: 7036
% 2.23/0.72  % (32249)Time elapsed: 0.251 s
% 2.23/0.72  % (32249)Instructions burned: 31 (million)
% 2.23/0.72  % (32249)------------------------------
% 2.23/0.72  % (32249)------------------------------
% 2.23/0.72  % (32237)Success in time 0.363 s
%------------------------------------------------------------------------------