TSTP Solution File: SYN512+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN512+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 : n005.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 19:38:41 EDT 2022

% Result   : Theorem 2.11s 0.64s
% Output   : Refutation 2.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  129
% Syntax   : Number of formulae    :  581 (   1 unt;   0 def)
%            Number of atoms       : 7123 (   0 equ)
%            Maximal formula atoms :  730 (  12 avg)
%            Number of connectives : 9606 (3064   ~;4524   |;1442   &)
%                                         ( 128 <=>; 448  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  120 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  166 ( 165 usr; 162 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  962 ( 962   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2040,plain,
    $false,
    inference(avatar_sat_refutation,[],[f271,f328,f342,f351,f356,f388,f416,f425,f434,f447,f448,f461,f470,f475,f476,f481,f496,f506,f512,f521,f527,f534,f539,f543,f548,f554,f559,f564,f570,f576,f582,f587,f607,f614,f615,f620,f634,f636,f641,f646,f650,f658,f662,f663,f668,f674,f679,f686,f706,f713,f723,f736,f738,f748,f753,f759,f771,f772,f778,f783,f784,f795,f801,f806,f811,f812,f818,f819,f825,f826,f836,f853,f854,f855,f860,f874,f890,f895,f900,f902,f907,f914,f920,f931,f936,f937,f942,f955,f971,f977,f978,f979,f983,f984,f989,f994,f1000,f1004,f1009,f1011,f1016,f1031,f1037,f1048,f1070,f1075,f1083,f1088,f1096,f1097,f1109,f1114,f1115,f1120,f1135,f1142,f1143,f1144,f1158,f1177,f1192,f1206,f1218,f1224,f1225,f1231,f1238,f1239,f1250,f1251,f1267,f1282,f1284,f1325,f1352,f1358,f1379,f1426,f1446,f1456,f1457,f1488,f1495,f1516,f1517,f1522,f1523,f1561,f1562,f1564,f1579,f1580,f1582,f1584,f1597,f1598,f1599,f1600,f1601,f1607,f1628,f1633,f1654,f1722,f1801,f1802,f1820,f1899,f1900,f1901,f1922,f2028,f2031,f2033,f2036,f2038]) ).

fof(f2038,plain,
    ( spl0_114
    | spl0_162
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1984,f981,f904,f1080,f792]) ).

fof(f792,plain,
    ( spl0_114
  <=> c2_1(a841) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1080,plain,
    ( spl0_162
  <=> c3_1(a841) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f904,plain,
    ( spl0_133
  <=> c1_1(a841) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f981,plain,
    ( spl0_145
  <=> ! [X73] :
        ( c3_1(X73)
        | c2_1(X73)
        | ~ c1_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1984,plain,
    ( c3_1(a841)
    | c2_1(a841)
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(resolution,[],[f982,f906]) ).

fof(f906,plain,
    ( c1_1(a841)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f982,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c3_1(X73)
        | c2_1(X73) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f2036,plain,
    ( spl0_38
    | ~ spl0_86
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1853,f656,f648,f414]) ).

fof(f414,plain,
    ( spl0_38
  <=> ! [X82] :
        ( c0_1(X82)
        | c1_1(X82)
        | c2_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f648,plain,
    ( spl0_86
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f656,plain,
    ( spl0_88
  <=> ! [X48] :
        ( c1_1(X48)
        | c2_1(X48)
        | c3_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1853,plain,
    ( ! [X6] :
        ( c0_1(X6)
        | c1_1(X6)
        | c2_1(X6) )
    | ~ spl0_86
    | ~ spl0_88 ),
    inference(duplicate_literal_removal,[],[f1839]) ).

fof(f1839,plain,
    ( ! [X6] :
        ( c2_1(X6)
        | c0_1(X6)
        | c1_1(X6)
        | c2_1(X6) )
    | ~ spl0_86
    | ~ spl0_88 ),
    inference(resolution,[],[f657,f649]) ).

fof(f649,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f657,plain,
    ( ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f2033,plain,
    ( spl0_73
    | spl0_167
    | ~ spl0_88
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1840,f917,f656,f1117,f584]) ).

fof(f584,plain,
    ( spl0_73
  <=> c1_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1117,plain,
    ( spl0_167
  <=> c2_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f917,plain,
    ( spl0_135
  <=> c3_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1840,plain,
    ( c2_1(a829)
    | c1_1(a829)
    | ~ spl0_88
    | spl0_135 ),
    inference(resolution,[],[f657,f919]) ).

fof(f919,plain,
    ( ~ c3_1(a829)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f2031,plain,
    ( spl0_187
    | spl0_132
    | ~ spl0_86
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1829,f857,f648,f897,f1519]) ).

fof(f1519,plain,
    ( spl0_187
  <=> c0_1(a884) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f897,plain,
    ( spl0_132
  <=> c2_1(a884) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f857,plain,
    ( spl0_125
  <=> c3_1(a884) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1829,plain,
    ( c2_1(a884)
    | c0_1(a884)
    | ~ spl0_86
    | ~ spl0_125 ),
    inference(resolution,[],[f649,f859]) ).

fof(f859,plain,
    ( c3_1(a884)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f2028,plain,
    ( spl0_135
    | spl0_73
    | ~ spl0_149
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2001,f1117,f1002,f584,f917]) ).

fof(f1002,plain,
    ( spl0_149
  <=> ! [X90] :
        ( c1_1(X90)
        | c3_1(X90)
        | ~ c2_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2001,plain,
    ( c1_1(a829)
    | c3_1(a829)
    | ~ spl0_149
    | ~ spl0_167 ),
    inference(resolution,[],[f1003,f1119]) ).

fof(f1119,plain,
    ( c2_1(a829)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f1003,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | c1_1(X90)
        | c3_1(X90) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1922,plain,
    ( spl0_114
    | ~ spl0_133
    | ~ spl0_49
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1915,f729,f463,f904,f792]) ).

fof(f463,plain,
    ( spl0_49
  <=> c0_1(a841) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f729,plain,
    ( spl0_103
  <=> ! [X53] :
        ( ~ c0_1(X53)
        | c2_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1915,plain,
    ( ~ c1_1(a841)
    | c2_1(a841)
    | ~ spl0_49
    | ~ spl0_103 ),
    inference(resolution,[],[f730,f465]) ).

fof(f465,plain,
    ( c0_1(a841)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f730,plain,
    ( ! [X53] :
        ( ~ c0_1(X53)
        | c2_1(X53)
        | ~ c1_1(X53) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f1901,plain,
    ( spl0_157
    | ~ spl0_55
    | ~ spl0_94
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1885,f1106,f684,f493,f1045]) ).

fof(f1045,plain,
    ( spl0_157
  <=> c3_1(a843) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f493,plain,
    ( spl0_55
  <=> c1_1(a843) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f684,plain,
    ( spl0_94
  <=> ! [X36] :
        ( c3_1(X36)
        | ~ c1_1(X36)
        | ~ c2_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1106,plain,
    ( spl0_165
  <=> c2_1(a843) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1885,plain,
    ( ~ c1_1(a843)
    | c3_1(a843)
    | ~ spl0_94
    | ~ spl0_165 ),
    inference(resolution,[],[f685,f1108]) ).

fof(f1108,plain,
    ( c2_1(a843)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f685,plain,
    ( ! [X36] :
        ( ~ c2_1(X36)
        | c3_1(X36)
        | ~ c1_1(X36) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f1900,plain,
    ( ~ spl0_177
    | spl0_84
    | ~ spl0_92
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1883,f684,f676,f638,f1228]) ).

fof(f1228,plain,
    ( spl0_177
  <=> c1_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f638,plain,
    ( spl0_84
  <=> c3_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f676,plain,
    ( spl0_92
  <=> c2_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1883,plain,
    ( c3_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_92
    | ~ spl0_94 ),
    inference(resolution,[],[f685,f678]) ).

fof(f678,plain,
    ( c2_1(a833)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1899,plain,
    ( ~ spl0_112
    | spl0_173
    | ~ spl0_94
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1879,f997,f684,f1174,f780]) ).

fof(f780,plain,
    ( spl0_112
  <=> c1_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1174,plain,
    ( spl0_173
  <=> c3_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f997,plain,
    ( spl0_148
  <=> c2_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1879,plain,
    ( c3_1(a828)
    | ~ c1_1(a828)
    | ~ spl0_94
    | ~ spl0_148 ),
    inference(resolution,[],[f685,f999]) ).

fof(f999,plain,
    ( c2_1(a828)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1820,plain,
    ( spl0_155
    | spl0_3
    | ~ spl0_78
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1810,f1111,f609,f264,f1034]) ).

fof(f1034,plain,
    ( spl0_155
  <=> c1_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f264,plain,
    ( spl0_3
  <=> c3_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f609,plain,
    ( spl0_78
  <=> ! [X50] :
        ( ~ c0_1(X50)
        | c3_1(X50)
        | c1_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1111,plain,
    ( spl0_166
  <=> c0_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1810,plain,
    ( c3_1(a832)
    | c1_1(a832)
    | ~ spl0_78
    | ~ spl0_166 ),
    inference(resolution,[],[f610,f1113]) ).

fof(f1113,plain,
    ( c0_1(a832)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f610,plain,
    ( ! [X50] :
        ( ~ c0_1(X50)
        | c3_1(X50)
        | c1_1(X50) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f1802,plain,
    ( spl0_38
    | ~ spl0_36
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1798,f612,f407,f414]) ).

fof(f407,plain,
    ( spl0_36
  <=> ! [X62] :
        ( c3_1(X62)
        | c2_1(X62)
        | c0_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f612,plain,
    ( spl0_79
  <=> ! [X51] :
        ( c2_1(X51)
        | c1_1(X51)
        | ~ c3_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1798,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_36
    | ~ spl0_79 ),
    inference(duplicate_literal_removal,[],[f1788]) ).

fof(f1788,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_36
    | ~ spl0_79 ),
    inference(resolution,[],[f613,f408]) ).

fof(f408,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | c2_1(X62)
        | c0_1(X62) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f613,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c1_1(X51)
        | c2_1(X51) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f1801,plain,
    ( spl0_38
    | ~ spl0_33
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1799,f612,f394,f414]) ).

fof(f394,plain,
    ( spl0_33
  <=> ! [X71] :
        ( c3_1(X71)
        | c0_1(X71)
        | c1_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1799,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_33
    | ~ spl0_79 ),
    inference(duplicate_literal_removal,[],[f1789]) ).

fof(f1789,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_33
    | ~ spl0_79 ),
    inference(resolution,[],[f613,f395]) ).

fof(f395,plain,
    ( ! [X71] :
        ( c3_1(X71)
        | c0_1(X71)
        | c1_1(X71) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f1722,plain,
    ( ~ spl0_121
    | ~ spl0_189
    | ~ spl0_48
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1720,f643,f459,f1651,f833]) ).

fof(f833,plain,
    ( spl0_121
  <=> c0_1(a875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1651,plain,
    ( spl0_189
  <=> c1_1(a875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f459,plain,
    ( spl0_48
  <=> ! [X26] :
        ( ~ c0_1(X26)
        | ~ c3_1(X26)
        | ~ c1_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f643,plain,
    ( spl0_85
  <=> c3_1(a875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1720,plain,
    ( ~ c1_1(a875)
    | ~ c0_1(a875)
    | ~ spl0_48
    | ~ spl0_85 ),
    inference(resolution,[],[f460,f645]) ).

fof(f645,plain,
    ( c3_1(a875)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f460,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | ~ c1_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f1654,plain,
    ( ~ spl0_121
    | spl0_189
    | ~ spl0_7
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1648,f643,f281,f1651,f833]) ).

fof(f281,plain,
    ( spl0_7
  <=> ! [X67] :
        ( ~ c3_1(X67)
        | c1_1(X67)
        | ~ c0_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1648,plain,
    ( c1_1(a875)
    | ~ c0_1(a875)
    | ~ spl0_7
    | ~ spl0_85 ),
    inference(resolution,[],[f282,f645]) ).

fof(f282,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | ~ c0_1(X67)
        | c1_1(X67) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f1633,plain,
    ( spl0_132
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1632,f857,f411,f385,f897]) ).

fof(f385,plain,
    ( spl0_31
  <=> c1_1(a884) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f411,plain,
    ( spl0_37
  <=> ! [X81] :
        ( c2_1(X81)
        | ~ c1_1(X81)
        | ~ c3_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1632,plain,
    ( ~ c1_1(a884)
    | c2_1(a884)
    | ~ spl0_37
    | ~ spl0_125 ),
    inference(resolution,[],[f859,f412]) ).

fof(f412,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | c2_1(X81)
        | ~ c1_1(X81) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f1628,plain,
    ( ~ spl0_116
    | ~ spl0_119
    | ~ spl0_44
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1626,f939,f440,f822,f803]) ).

fof(f803,plain,
    ( spl0_116
  <=> c2_1(a849) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f822,plain,
    ( spl0_119
  <=> c1_1(a849) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f440,plain,
    ( spl0_44
  <=> ! [X41] :
        ( ~ c1_1(X41)
        | ~ c0_1(X41)
        | ~ c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f939,plain,
    ( spl0_139
  <=> c0_1(a849) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1626,plain,
    ( ~ c1_1(a849)
    | ~ c2_1(a849)
    | ~ spl0_44
    | ~ spl0_139 ),
    inference(resolution,[],[f441,f941]) ).

fof(f941,plain,
    ( c0_1(a849)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f441,plain,
    ( ! [X41] :
        ( ~ c0_1(X41)
        | ~ c2_1(X41)
        | ~ c1_1(X41) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1607,plain,
    ( ~ spl0_177
    | spl0_84
    | ~ spl0_87
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1527,f974,f653,f638,f1228]) ).

fof(f653,plain,
    ( spl0_87
  <=> ! [X49] :
        ( ~ c0_1(X49)
        | ~ c1_1(X49)
        | c3_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f974,plain,
    ( spl0_144
  <=> c0_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1527,plain,
    ( c3_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_87
    | ~ spl0_144 ),
    inference(resolution,[],[f654,f976]) ).

fof(f976,plain,
    ( c0_1(a833)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f654,plain,
    ( ! [X49] :
        ( ~ c0_1(X49)
        | c3_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1601,plain,
    ( spl0_162
    | ~ spl0_133
    | ~ spl0_49
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1529,f653,f463,f904,f1080]) ).

fof(f1529,plain,
    ( ~ c1_1(a841)
    | c3_1(a841)
    | ~ spl0_49
    | ~ spl0_87 ),
    inference(resolution,[],[f654,f465]) ).

fof(f1600,plain,
    ( spl0_45
    | spl0_155
    | ~ spl0_38
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1499,f1111,f414,f1034,f444]) ).

fof(f444,plain,
    ( spl0_45
  <=> c2_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1499,plain,
    ( c1_1(a832)
    | c2_1(a832)
    | ~ spl0_38
    | spl0_166 ),
    inference(resolution,[],[f1112,f415]) ).

fof(f415,plain,
    ( ! [X82] :
        ( c0_1(X82)
        | c2_1(X82)
        | c1_1(X82) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1112,plain,
    ( ~ c0_1(a832)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f1599,plain,
    ( spl0_155
    | spl0_45
    | spl0_3
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1538,f656,f264,f444,f1034]) ).

fof(f1538,plain,
    ( c2_1(a832)
    | c1_1(a832)
    | spl0_3
    | ~ spl0_88 ),
    inference(resolution,[],[f657,f266]) ).

fof(f266,plain,
    ( ~ c3_1(a832)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f1598,plain,
    ( spl0_68
    | ~ spl0_15
    | ~ spl0_38
    | spl0_51 ),
    inference(avatar_split_clause,[],[f1590,f472,f414,f313,f556]) ).

fof(f556,plain,
    ( spl0_68
  <=> c1_1(a844) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f313,plain,
    ( spl0_15
  <=> ! [X78] :
        ( c2_1(X78)
        | c1_1(X78)
        | ~ c0_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f472,plain,
    ( spl0_51
  <=> c2_1(a844) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1590,plain,
    ( c1_1(a844)
    | ~ spl0_15
    | ~ spl0_38
    | spl0_51 ),
    inference(resolution,[],[f1297,f474]) ).

fof(f474,plain,
    ( ~ c2_1(a844)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1297,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f1285]) ).

fof(f1285,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(resolution,[],[f415,f314]) ).

fof(f314,plain,
    ( ! [X78] :
        ( ~ c0_1(X78)
        | c2_1(X78)
        | c1_1(X78) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1597,plain,
    ( spl0_155
    | ~ spl0_15
    | ~ spl0_38
    | spl0_45 ),
    inference(avatar_split_clause,[],[f1586,f444,f414,f313,f1034]) ).

fof(f1586,plain,
    ( c1_1(a832)
    | ~ spl0_15
    | ~ spl0_38
    | spl0_45 ),
    inference(resolution,[],[f1297,f446]) ).

fof(f446,plain,
    ( ~ c2_1(a832)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1584,plain,
    ( spl0_177
    | ~ spl0_92
    | ~ spl0_93
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1569,f974,f681,f676,f1228]) ).

fof(f681,plain,
    ( spl0_93
  <=> ! [X35] :
        ( c1_1(X35)
        | ~ c2_1(X35)
        | ~ c0_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1569,plain,
    ( ~ c2_1(a833)
    | c1_1(a833)
    | ~ spl0_93
    | ~ spl0_144 ),
    inference(resolution,[],[f682,f976]) ).

fof(f682,plain,
    ( ! [X35] :
        ( ~ c0_1(X35)
        | ~ c2_1(X35)
        | c1_1(X35) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f1582,plain,
    ( ~ spl0_143
    | spl0_118
    | ~ spl0_93
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1575,f850,f681,f815,f968]) ).

fof(f968,plain,
    ( spl0_143
  <=> c2_1(a861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f815,plain,
    ( spl0_118
  <=> c1_1(a861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f850,plain,
    ( spl0_124
  <=> c0_1(a861) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1575,plain,
    ( c1_1(a861)
    | ~ c2_1(a861)
    | ~ spl0_93
    | ~ spl0_124 ),
    inference(resolution,[],[f682,f852]) ).

fof(f852,plain,
    ( c0_1(a861)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1580,plain,
    ( spl0_127
    | ~ spl0_164
    | ~ spl0_93
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1570,f887,f681,f1093,f871]) ).

fof(f871,plain,
    ( spl0_127
  <=> c1_1(a836) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1093,plain,
    ( spl0_164
  <=> c2_1(a836) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f887,plain,
    ( spl0_130
  <=> c0_1(a836) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1570,plain,
    ( ~ c2_1(a836)
    | c1_1(a836)
    | ~ spl0_93
    | ~ spl0_130 ),
    inference(resolution,[],[f682,f889]) ).

fof(f889,plain,
    ( c0_1(a836)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f1579,plain,
    ( spl0_70
    | ~ spl0_163
    | ~ spl0_71
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1574,f681,f573,f1085,f567]) ).

fof(f567,plain,
    ( spl0_70
  <=> c1_1(a859) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1085,plain,
    ( spl0_163
  <=> c2_1(a859) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f573,plain,
    ( spl0_71
  <=> c0_1(a859) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1574,plain,
    ( ~ c2_1(a859)
    | c1_1(a859)
    | ~ spl0_71
    | ~ spl0_93 ),
    inference(resolution,[],[f682,f575]) ).

fof(f575,plain,
    ( c0_1(a859)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f1564,plain,
    ( spl0_52
    | ~ spl0_169
    | ~ spl0_64
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1554,f660,f536,f1132,f478]) ).

fof(f478,plain,
    ( spl0_52
  <=> c0_1(a846) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1132,plain,
    ( spl0_169
  <=> c1_1(a846) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f536,plain,
    ( spl0_64
  <=> c3_1(a846) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f660,plain,
    ( spl0_89
  <=> ! [X43] :
        ( ~ c3_1(X43)
        | ~ c1_1(X43)
        | c0_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1554,plain,
    ( ~ c1_1(a846)
    | c0_1(a846)
    | ~ spl0_64
    | ~ spl0_89 ),
    inference(resolution,[],[f661,f538]) ).

fof(f538,plain,
    ( c3_1(a846)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f661,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | ~ c1_1(X43) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f1562,plain,
    ( ~ spl0_112
    | spl0_147
    | ~ spl0_89
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1548,f1174,f660,f991,f780]) ).

fof(f991,plain,
    ( spl0_147
  <=> c0_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1548,plain,
    ( c0_1(a828)
    | ~ c1_1(a828)
    | ~ spl0_89
    | ~ spl0_173 ),
    inference(resolution,[],[f661,f1176]) ).

fof(f1176,plain,
    ( c3_1(a828)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1561,plain,
    ( spl0_187
    | ~ spl0_31
    | ~ spl0_89
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1557,f857,f660,f385,f1519]) ).

fof(f1557,plain,
    ( ~ c1_1(a884)
    | c0_1(a884)
    | ~ spl0_89
    | ~ spl0_125 ),
    inference(resolution,[],[f661,f859]) ).

fof(f1523,plain,
    ( ~ spl0_150
    | ~ spl0_184
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1510,f459,f422,f1376,f1006]) ).

fof(f1006,plain,
    ( spl0_150
  <=> c0_1(a863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1376,plain,
    ( spl0_184
  <=> c1_1(a863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f422,plain,
    ( spl0_40
  <=> c3_1(a863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1510,plain,
    ( ~ c1_1(a863)
    | ~ c0_1(a863)
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(resolution,[],[f460,f424]) ).

fof(f424,plain,
    ( c3_1(a863)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1522,plain,
    ( ~ spl0_187
    | ~ spl0_31
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1512,f857,f459,f385,f1519]) ).

fof(f1512,plain,
    ( ~ c1_1(a884)
    | ~ c0_1(a884)
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(resolution,[],[f460,f859]) ).

fof(f1517,plain,
    ( ~ spl0_49
    | ~ spl0_133
    | ~ spl0_48
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1506,f1080,f459,f904,f463]) ).

fof(f1506,plain,
    ( ~ c1_1(a841)
    | ~ c0_1(a841)
    | ~ spl0_48
    | ~ spl0_162 ),
    inference(resolution,[],[f460,f1082]) ).

fof(f1082,plain,
    ( c3_1(a841)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1516,plain,
    ( ~ spl0_111
    | ~ spl0_77
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1514,f720,f459,f604,f775]) ).

fof(f775,plain,
    ( spl0_111
  <=> c0_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f604,plain,
    ( spl0_77
  <=> c1_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f720,plain,
    ( spl0_101
  <=> c3_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1514,plain,
    ( ~ c1_1(a839)
    | ~ c0_1(a839)
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(resolution,[],[f460,f722]) ).

fof(f722,plain,
    ( c3_1(a839)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f1495,plain,
    ( spl0_52
    | spl0_66
    | ~ spl0_64
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1494,f648,f536,f545,f478]) ).

fof(f545,plain,
    ( spl0_66
  <=> c2_1(a846) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1494,plain,
    ( c2_1(a846)
    | c0_1(a846)
    | ~ spl0_64
    | ~ spl0_86 ),
    inference(resolution,[],[f538,f649]) ).

fof(f1488,plain,
    ( spl0_45
    | spl0_3
    | ~ spl0_12
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1485,f1111,f302,f264,f444]) ).

fof(f302,plain,
    ( spl0_12
  <=> ! [X32] :
        ( c2_1(X32)
        | c3_1(X32)
        | ~ c0_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1485,plain,
    ( c3_1(a832)
    | c2_1(a832)
    | ~ spl0_12
    | ~ spl0_166 ),
    inference(resolution,[],[f1113,f303]) ).

fof(f303,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c2_1(X32)
        | c3_1(X32) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f1457,plain,
    ( ~ spl0_77
    | spl0_186
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1455,f720,f411,f1443,f604]) ).

fof(f1443,plain,
    ( spl0_186
  <=> c2_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f1455,plain,
    ( c2_1(a839)
    | ~ c1_1(a839)
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(resolution,[],[f412,f722]) ).

fof(f1456,plain,
    ( ~ spl0_133
    | spl0_114
    | ~ spl0_37
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1451,f1080,f411,f792,f904]) ).

fof(f1451,plain,
    ( c2_1(a841)
    | ~ c1_1(a841)
    | ~ spl0_37
    | ~ spl0_162 ),
    inference(resolution,[],[f412,f1082]) ).

fof(f1446,plain,
    ( ~ spl0_186
    | ~ spl0_77
    | ~ spl0_44
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1441,f775,f440,f604,f1443]) ).

fof(f1441,plain,
    ( ~ c1_1(a839)
    | ~ c2_1(a839)
    | ~ spl0_44
    | ~ spl0_111 ),
    inference(resolution,[],[f777,f441]) ).

fof(f777,plain,
    ( c0_1(a839)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f1426,plain,
    ( spl0_21
    | spl0_73
    | ~ spl0_33
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1409,f917,f394,f584,f339]) ).

fof(f339,plain,
    ( spl0_21
  <=> c0_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1409,plain,
    ( c1_1(a829)
    | c0_1(a829)
    | ~ spl0_33
    | spl0_135 ),
    inference(resolution,[],[f395,f919]) ).

fof(f1379,plain,
    ( spl0_184
    | ~ spl0_150
    | ~ spl0_7
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1371,f422,f281,f1006,f1376]) ).

fof(f1371,plain,
    ( ~ c0_1(a863)
    | c1_1(a863)
    | ~ spl0_7
    | ~ spl0_40 ),
    inference(resolution,[],[f282,f424]) ).

fof(f1358,plain,
    ( spl0_21
    | spl0_135
    | ~ spl0_47
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1334,f1117,f456,f917,f339]) ).

fof(f456,plain,
    ( spl0_47
  <=> ! [X25] :
        ( c0_1(X25)
        | ~ c2_1(X25)
        | c3_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1334,plain,
    ( c3_1(a829)
    | c0_1(a829)
    | ~ spl0_47
    | ~ spl0_167 ),
    inference(resolution,[],[f457,f1119]) ).

fof(f457,plain,
    ( ! [X25] :
        ( ~ c2_1(X25)
        | c3_1(X25)
        | c0_1(X25) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1352,plain,
    ( spl0_106
    | spl0_82
    | ~ spl0_47
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1345,f986,f456,f627,f745]) ).

fof(f745,plain,
    ( spl0_106
  <=> c0_1(a890) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f627,plain,
    ( spl0_82
  <=> c3_1(a890) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f986,plain,
    ( spl0_146
  <=> c2_1(a890) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1345,plain,
    ( c3_1(a890)
    | c0_1(a890)
    | ~ spl0_47
    | ~ spl0_146 ),
    inference(resolution,[],[f457,f988]) ).

fof(f988,plain,
    ( c2_1(a890)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f1325,plain,
    ( ~ spl0_112
    | ~ spl0_148
    | ~ spl0_63
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1324,f1174,f532,f997,f780]) ).

fof(f532,plain,
    ( spl0_63
  <=> ! [X101] :
        ( ~ c1_1(X101)
        | ~ c3_1(X101)
        | ~ c2_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1324,plain,
    ( ~ c2_1(a828)
    | ~ c1_1(a828)
    | ~ spl0_63
    | ~ spl0_173 ),
    inference(resolution,[],[f1176,f533]) ).

fof(f533,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | ~ c2_1(X101)
        | ~ c1_1(X101) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f1284,plain,
    ( ~ spl0_163
    | spl0_154
    | ~ spl0_14
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1280,f573,f310,f1028,f1085]) ).

fof(f1028,plain,
    ( spl0_154
  <=> c3_1(a859) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f310,plain,
    ( spl0_14
  <=> ! [X77] :
        ( ~ c2_1(X77)
        | ~ c0_1(X77)
        | c3_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1280,plain,
    ( c3_1(a859)
    | ~ c2_1(a859)
    | ~ spl0_14
    | ~ spl0_71 ),
    inference(resolution,[],[f311,f575]) ).

fof(f311,plain,
    ( ! [X77] :
        ( ~ c0_1(X77)
        | c3_1(X77)
        | ~ c2_1(X77) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f1282,plain,
    ( ~ spl0_92
    | spl0_84
    | ~ spl0_14
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1275,f974,f310,f638,f676]) ).

fof(f1275,plain,
    ( c3_1(a833)
    | ~ c2_1(a833)
    | ~ spl0_14
    | ~ spl0_144 ),
    inference(resolution,[],[f311,f976]) ).

fof(f1267,plain,
    ( spl0_18
    | spl0_151
    | ~ spl0_15
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1261,f768,f313,f1013,f325]) ).

fof(f325,plain,
    ( spl0_18
  <=> c1_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1013,plain,
    ( spl0_151
  <=> c2_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f768,plain,
    ( spl0_110
  <=> c0_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1261,plain,
    ( c2_1(a830)
    | c1_1(a830)
    | ~ spl0_15
    | ~ spl0_110 ),
    inference(resolution,[],[f314,f770]) ).

fof(f770,plain,
    ( c0_1(a830)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1251,plain,
    ( spl0_127
    | spl0_164
    | ~ spl0_58
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1246,f612,f509,f1093,f871]) ).

fof(f509,plain,
    ( spl0_58
  <=> c3_1(a836) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1246,plain,
    ( c2_1(a836)
    | c1_1(a836)
    | ~ spl0_58
    | ~ spl0_79 ),
    inference(resolution,[],[f613,f511]) ).

fof(f511,plain,
    ( c3_1(a836)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1250,plain,
    ( spl0_51
    | spl0_68
    | ~ spl0_79
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1247,f750,f612,f556,f472]) ).

fof(f750,plain,
    ( spl0_107
  <=> c3_1(a844) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1247,plain,
    ( c1_1(a844)
    | c2_1(a844)
    | ~ spl0_79
    | ~ spl0_107 ),
    inference(resolution,[],[f613,f752]) ).

fof(f752,plain,
    ( c3_1(a844)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f1239,plain,
    ( spl0_154
    | spl0_70
    | ~ spl0_71
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1236,f609,f573,f567,f1028]) ).

fof(f1236,plain,
    ( c1_1(a859)
    | c3_1(a859)
    | ~ spl0_71
    | ~ spl0_78 ),
    inference(resolution,[],[f610,f575]) ).

fof(f1238,plain,
    ( spl0_84
    | spl0_177
    | ~ spl0_78
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1233,f974,f609,f1228,f638]) ).

fof(f1233,plain,
    ( c1_1(a833)
    | c3_1(a833)
    | ~ spl0_78
    | ~ spl0_144 ),
    inference(resolution,[],[f610,f976]) ).

fof(f1231,plain,
    ( ~ spl0_177
    | ~ spl0_92
    | ~ spl0_44
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1226,f974,f440,f676,f1228]) ).

fof(f1226,plain,
    ( ~ c2_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_44
    | ~ spl0_144 ),
    inference(resolution,[],[f976,f441]) ).

fof(f1225,plain,
    ( ~ spl0_164
    | ~ spl0_130
    | ~ spl0_58
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1220,f599,f509,f887,f1093]) ).

fof(f599,plain,
    ( spl0_76
  <=> ! [X76] :
        ( ~ c2_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1220,plain,
    ( ~ c0_1(a836)
    | ~ c2_1(a836)
    | ~ spl0_58
    | ~ spl0_76 ),
    inference(resolution,[],[f600,f511]) ).

fof(f600,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | ~ c0_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1224,plain,
    ( ~ spl0_137
    | ~ spl0_176
    | ~ spl0_76
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1219,f665,f599,f1215,f928]) ).

fof(f928,plain,
    ( spl0_137
  <=> c2_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1215,plain,
    ( spl0_176
  <=> c0_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f665,plain,
    ( spl0_90
  <=> c3_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1219,plain,
    ( ~ c0_1(a831)
    | ~ c2_1(a831)
    | ~ spl0_76
    | ~ spl0_90 ),
    inference(resolution,[],[f600,f667]) ).

fof(f667,plain,
    ( c3_1(a831)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f1218,plain,
    ( ~ spl0_137
    | spl0_176
    | ~ spl0_65
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1209,f665,f541,f1215,f928]) ).

fof(f541,plain,
    ( spl0_65
  <=> ! [X6] :
        ( ~ c3_1(X6)
        | ~ c2_1(X6)
        | c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1209,plain,
    ( c0_1(a831)
    | ~ c2_1(a831)
    | ~ spl0_65
    | ~ spl0_90 ),
    inference(resolution,[],[f542,f667]) ).

fof(f542,plain,
    ( ! [X6] :
        ( ~ c3_1(X6)
        | ~ c2_1(X6)
        | c0_1(X6) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f1206,plain,
    ( ~ spl0_42
    | ~ spl0_72
    | ~ spl0_63
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1205,f756,f532,f579,f431]) ).

fof(f431,plain,
    ( spl0_42
  <=> c2_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f579,plain,
    ( spl0_72
  <=> c1_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f756,plain,
    ( spl0_108
  <=> c3_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1205,plain,
    ( ~ c1_1(a857)
    | ~ c2_1(a857)
    | ~ spl0_63
    | ~ spl0_108 ),
    inference(resolution,[],[f533,f758]) ).

fof(f758,plain,
    ( c3_1(a857)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f1192,plain,
    ( spl0_147
    | ~ spl0_112
    | ~ spl0_62
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1188,f997,f529,f780,f991]) ).

fof(f529,plain,
    ( spl0_62
  <=> ! [X99] :
        ( c0_1(X99)
        | ~ c2_1(X99)
        | ~ c1_1(X99) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1188,plain,
    ( ~ c1_1(a828)
    | c0_1(a828)
    | ~ spl0_62
    | ~ spl0_148 ),
    inference(resolution,[],[f530,f999]) ).

fof(f530,plain,
    ( ! [X99] :
        ( ~ c2_1(X99)
        | c0_1(X99)
        | ~ c1_1(X99) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f1177,plain,
    ( spl0_147
    | spl0_173
    | ~ spl0_47
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1164,f997,f456,f1174,f991]) ).

fof(f1164,plain,
    ( c3_1(a828)
    | c0_1(a828)
    | ~ spl0_47
    | ~ spl0_148 ),
    inference(resolution,[],[f457,f999]) ).

fof(f1158,plain,
    ( spl0_164
    | ~ spl0_130
    | ~ spl0_46
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1154,f509,f451,f887,f1093]) ).

fof(f451,plain,
    ( spl0_46
  <=> ! [X55] :
        ( ~ c3_1(X55)
        | c2_1(X55)
        | ~ c0_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1154,plain,
    ( ~ c0_1(a836)
    | c2_1(a836)
    | ~ spl0_46
    | ~ spl0_58 ),
    inference(resolution,[],[f452,f511]) ).

fof(f452,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | ~ c0_1(X55)
        | c2_1(X55) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f1144,plain,
    ( spl0_161
    | spl0_104
    | ~ spl0_38
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1140,f892,f414,f733,f1067]) ).

fof(f1067,plain,
    ( spl0_161
  <=> c2_1(a858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f733,plain,
    ( spl0_104
  <=> c1_1(a858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f892,plain,
    ( spl0_131
  <=> c0_1(a858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1140,plain,
    ( c1_1(a858)
    | c2_1(a858)
    | ~ spl0_38
    | spl0_131 ),
    inference(resolution,[],[f415,f894]) ).

fof(f894,plain,
    ( ~ c0_1(a858)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f1143,plain,
    ( spl0_167
    | spl0_73
    | spl0_21
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1136,f414,f339,f584,f1117]) ).

fof(f1136,plain,
    ( c1_1(a829)
    | c2_1(a829)
    | spl0_21
    | ~ spl0_38 ),
    inference(resolution,[],[f415,f341]) ).

fof(f341,plain,
    ( ~ c0_1(a829)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f1142,plain,
    ( spl0_66
    | spl0_169
    | ~ spl0_38
    | spl0_52 ),
    inference(avatar_split_clause,[],[f1139,f478,f414,f1132,f545]) ).

fof(f1139,plain,
    ( c1_1(a846)
    | c2_1(a846)
    | ~ spl0_38
    | spl0_52 ),
    inference(resolution,[],[f415,f480]) ).

fof(f480,plain,
    ( ~ c0_1(a846)
    | spl0_52 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f1135,plain,
    ( ~ spl0_169
    | spl0_66
    | ~ spl0_37
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1129,f536,f411,f545,f1132]) ).

fof(f1129,plain,
    ( c2_1(a846)
    | ~ c1_1(a846)
    | ~ spl0_37
    | ~ spl0_64 ),
    inference(resolution,[],[f412,f538]) ).

fof(f1120,plain,
    ( spl0_167
    | spl0_21
    | ~ spl0_36
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1098,f917,f407,f339,f1117]) ).

fof(f1098,plain,
    ( c0_1(a829)
    | c2_1(a829)
    | ~ spl0_36
    | spl0_135 ),
    inference(resolution,[],[f408,f919]) ).

fof(f1115,plain,
    ( spl0_80
    | spl0_69
    | ~ spl0_36
    | spl0_57 ),
    inference(avatar_split_clause,[],[f1100,f503,f407,f561,f617]) ).

fof(f617,plain,
    ( spl0_80
  <=> c2_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f561,plain,
    ( spl0_69
  <=> c0_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f503,plain,
    ( spl0_57
  <=> c3_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1100,plain,
    ( c0_1(a835)
    | c2_1(a835)
    | ~ spl0_36
    | spl0_57 ),
    inference(resolution,[],[f408,f505]) ).

fof(f505,plain,
    ( ~ c3_1(a835)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1114,plain,
    ( spl0_45
    | spl0_166
    | spl0_3
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1099,f407,f264,f1111,f444]) ).

fof(f1099,plain,
    ( c0_1(a832)
    | c2_1(a832)
    | spl0_3
    | ~ spl0_36 ),
    inference(resolution,[],[f408,f266]) ).

fof(f1109,plain,
    ( spl0_165
    | spl0_61
    | ~ spl0_36
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1102,f1045,f407,f524,f1106]) ).

fof(f524,plain,
    ( spl0_61
  <=> c0_1(a843) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1102,plain,
    ( c0_1(a843)
    | c2_1(a843)
    | ~ spl0_36
    | spl0_157 ),
    inference(resolution,[],[f408,f1047]) ).

fof(f1047,plain,
    ( ~ c3_1(a843)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1097,plain,
    ( spl0_70
    | spl0_163
    | ~ spl0_15
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1090,f573,f313,f1085,f567]) ).

fof(f1090,plain,
    ( c2_1(a859)
    | c1_1(a859)
    | ~ spl0_15
    | ~ spl0_71 ),
    inference(resolution,[],[f314,f575]) ).

fof(f1096,plain,
    ( spl0_127
    | spl0_164
    | ~ spl0_15
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1091,f887,f313,f1093,f871]) ).

fof(f1091,plain,
    ( c2_1(a836)
    | c1_1(a836)
    | ~ spl0_15
    | ~ spl0_130 ),
    inference(resolution,[],[f314,f889]) ).

fof(f1088,plain,
    ( spl0_154
    | spl0_163
    | ~ spl0_12
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1077,f573,f302,f1085,f1028]) ).

fof(f1077,plain,
    ( c2_1(a859)
    | c3_1(a859)
    | ~ spl0_12
    | ~ spl0_71 ),
    inference(resolution,[],[f303,f575]) ).

fof(f1083,plain,
    ( spl0_162
    | spl0_114
    | ~ spl0_12
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1076,f463,f302,f792,f1080]) ).

fof(f1076,plain,
    ( c2_1(a841)
    | c3_1(a841)
    | ~ spl0_12
    | ~ spl0_49 ),
    inference(resolution,[],[f303,f465]) ).

fof(f1075,plain,
    ( ~ spl0_130
    | spl0_127
    | ~ spl0_7
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1073,f509,f281,f871,f887]) ).

fof(f1073,plain,
    ( c1_1(a836)
    | ~ c0_1(a836)
    | ~ spl0_7
    | ~ spl0_58 ),
    inference(resolution,[],[f282,f511]) ).

fof(f1070,plain,
    ( ~ spl0_23
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f87,f1067,f348]) ).

fof(f348,plain,
    ( spl0_23
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f87,plain,
    ( ~ c2_1(a858)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ! [X0] :
          ( ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0
          | ~ c2_1(X0) )
      | hskp2
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) ) )
    & ( ! [X2] :
          ( c1_1(X2)
          | ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c0_1(X2) )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ ndr1_0
          | c3_1(X3)
          | ~ c0_1(X3) )
      | ! [X4] :
          ( c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0
          | c1_1(X4) ) )
    & ( ! [X5] :
          ( ~ c0_1(X5)
          | ~ c3_1(X5)
          | c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c3_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp10
      | hskp28 )
    & ( ! [X7] :
          ( c1_1(X7)
          | ~ ndr1_0
          | c3_1(X7)
          | ~ c0_1(X7) )
      | hskp25
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ ndr1_0
          | c3_1(X10) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c1_1(X11)
          | ~ c3_1(X11)
          | c2_1(X11) )
      | hskp28
      | hskp3 )
    & ( ! [X12] :
          ( c3_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0
          | ~ c1_1(X12) )
      | hskp17
      | ! [X13] :
          ( c1_1(X13)
          | ~ ndr1_0
          | c2_1(X13)
          | ~ c0_1(X13) ) )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ ndr1_0
          | ~ c0_1(X15)
          | ~ c3_1(X15) )
      | hskp18 )
    & ( hskp2
      | ! [X16] :
          ( c1_1(X16)
          | ~ ndr1_0
          | c3_1(X16)
          | c2_1(X16) )
      | hskp9 )
    & ( ( ~ c1_1(a868)
        & ~ c3_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp10
      | ! [X17] :
          ( c2_1(X17)
          | ~ ndr1_0
          | c3_1(X17)
          | ~ c0_1(X17) )
      | ! [X18] :
          ( c2_1(X18)
          | c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp25
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0
          | ~ c3_1(X19) ) )
    & ( ~ hskp20
      | ( c1_1(a864)
        & ~ c2_1(a864)
        & ~ c0_1(a864)
        & ndr1_0 ) )
    & ( ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp20
      | hskp26 )
    & ( ~ hskp1
      | ( ~ c3_1(a829)
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ndr1_0 ) )
    & ( hskp17
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ ndr1_0
          | c2_1(X21)
          | ~ c1_1(X21) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c2_1(X22)
          | c1_1(X22) ) )
    & ( ! [X23] :
          ( c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0
          | ~ c3_1(X23) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24) )
      | hskp30 )
    & ( hskp11
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26) ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0
          | c1_1(X27) )
      | hskp1
      | hskp28 )
    & ( ~ hskp5
      | ( c0_1(a833)
        & ndr1_0
        & ~ c3_1(a833)
        & c2_1(a833) ) )
    & ( ( ~ c0_1(a865)
        & ~ c1_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( hskp16
      | hskp6
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | ~ c0_1(X28)
          | ~ c2_1(X28) ) )
    & ( ! [X29] :
          ( c2_1(X29)
          | ~ ndr1_0
          | c1_1(X29)
          | ~ c0_1(X29) )
      | hskp19
      | hskp11 )
    & ( ~ hskp6
      | ( ~ c3_1(a835)
        & ~ c0_1(a835)
        & ndr1_0
        & ~ c2_1(a835) ) )
    & ( ! [X30] :
          ( c2_1(X30)
          | ~ ndr1_0
          | c1_1(X30)
          | ~ c0_1(X30) )
      | hskp3
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a831)
        & ~ c1_1(a831)
        & ndr1_0
        & c3_1(a831) )
      | ~ hskp3 )
    & ( ~ hskp9
      | ( ~ c2_1(a841)
        & ndr1_0
        & c1_1(a841)
        & c0_1(a841) ) )
    & ( ! [X32] :
          ( ~ ndr1_0
          | c2_1(X32)
          | ~ c0_1(X32)
          | c3_1(X32) )
      | hskp3
      | hskp0 )
    & ( hskp4
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ ndr1_0
          | c2_1(X33)
          | c0_1(X33) )
      | ! [X34] :
          ( c3_1(X34)
          | ~ c0_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c1_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | hskp28
      | ! [X36] :
          ( ~ ndr1_0
          | c3_1(X36)
          | ~ c2_1(X36)
          | ~ c1_1(X36) ) )
    & ( hskp0
      | ! [X37] :
          ( c2_1(X37)
          | ~ ndr1_0
          | c3_1(X37)
          | c0_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | c1_1(X38)
          | c0_1(X38)
          | c2_1(X38) ) )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( ! [X39] :
          ( ~ c1_1(X39)
          | c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp21
      | ! [X40] :
          ( ~ c3_1(X40)
          | c1_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( ~ c2_1(a846)
        & ndr1_0
        & ~ c0_1(a846)
        & c3_1(a846) ) )
    & ( hskp19
      | hskp23
      | hskp30 )
    & ( hskp29
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X42] :
          ( c2_1(X42)
          | ~ c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0
          | ~ c3_1(X43) )
      | ! [X44] :
          ( c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0
          | c3_1(X44) ) )
    & ( hskp1
      | ! [X45] :
          ( ~ c3_1(X45)
          | c1_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0
          | c0_1(X46) ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp20
      | hskp19 )
    & ( hskp4
      | hskp9
      | hskp14 )
    & ( hskp21
      | hskp14 )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & ndr1_0
        & c1_1(a884) )
      | ~ hskp24 )
    & ( ! [X48] :
          ( ~ ndr1_0
          | c2_1(X48)
          | c1_1(X48)
          | c3_1(X48) )
      | hskp29
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49) ) )
    & ( hskp13
      | ! [X50] :
          ( ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0
          | c3_1(X50) )
      | ! [X51] :
          ( c1_1(X51)
          | ~ ndr1_0
          | c2_1(X51)
          | ~ c3_1(X51) ) )
    & ( ( c2_1(a861)
        & ~ c1_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ! [X52] :
          ( c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0
          | ~ c3_1(X52) )
      | hskp15
      | ! [X53] :
          ( c2_1(X53)
          | ~ ndr1_0
          | ~ c1_1(X53)
          | ~ c0_1(X53) ) )
    & ( hskp5
      | ! [X54] :
          ( ~ ndr1_0
          | c1_1(X54)
          | c0_1(X54)
          | c2_1(X54) )
      | hskp4 )
    & ( ( ndr1_0
        & ~ c1_1(a844)
        & ~ c2_1(a844)
        & c3_1(a844) )
      | ~ hskp11 )
    & ( ~ hskp22
      | ( c1_1(a866)
        & c0_1(a866)
        & ndr1_0
        & ~ c3_1(a866) ) )
    & ( ( c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( hskp19
      | hskp0
      | ! [X55] :
          ( c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0
          | ~ c3_1(X55) ) )
    & ( hskp14
      | ! [X56] :
          ( c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0
          | ~ c0_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57) ) )
    & ( ! [X58] :
          ( c3_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58)
          | c0_1(X58) )
      | hskp17
      | hskp4 )
    & ( ! [X59] :
          ( c2_1(X59)
          | c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp29
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ ndr1_0
          | ~ c1_1(X60)
          | c3_1(X60) ) )
    & ( ( ~ c1_1(a859)
        & ~ c3_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp4
      | hskp24
      | ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0
          | c2_1(X61) ) )
    & ( ~ hskp28
      | ( c1_1(a839)
        & c0_1(a839)
        & c3_1(a839)
        & ndr1_0 ) )
    & ( ( ~ c2_1(a832)
        & ~ c3_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( hskp12
      | ! [X62] :
          ( c2_1(X62)
          | ~ ndr1_0
          | c3_1(X62)
          | c0_1(X62) )
      | hskp13 )
    & ( ! [X63] :
          ( ~ ndr1_0
          | c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) )
      | hskp19
      | hskp31 )
    & ( ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0
          | c2_1(X64) )
      | hskp9
      | hskp7 )
    & ( ! [X65] :
          ( ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ ndr1_0
          | c2_1(X66)
          | c0_1(X66)
          | c1_1(X66) )
      | hskp4 )
    & ( ! [X67] :
          ( ~ c3_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | hskp22
      | hskp8 )
    & ( hskp30
      | hskp16
      | ! [X68] :
          ( ~ c3_1(X68)
          | c0_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0
          | c3_1(X69) )
      | hskp11
      | hskp4 )
    & ( hskp10
      | hskp7
      | hskp21 )
    & ( ~ hskp29
      | ( c1_1(a849)
        & c0_1(a849)
        & c2_1(a849)
        & ndr1_0 ) )
    & ( ( ~ c1_1(a858)
        & ndr1_0
        & ~ c0_1(a858)
        & ~ c2_1(a858) )
      | ~ hskp16 )
    & ( ( c2_1(a828)
        & c1_1(a828)
        & ndr1_0
        & ~ c0_1(a828) )
      | ~ hskp0 )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c1_1(X70)
          | c2_1(X70) )
      | ! [X71] :
          ( c1_1(X71)
          | ~ ndr1_0
          | c0_1(X71)
          | c3_1(X71) )
      | hskp6 )
    & ( ! [X72] :
          ( c3_1(X72)
          | ~ ndr1_0
          | ~ c1_1(X72)
          | ~ c2_1(X72) )
      | hskp17
      | ! [X73] :
          ( ~ ndr1_0
          | c2_1(X73)
          | ~ c1_1(X73)
          | c3_1(X73) ) )
    & ( hskp5
      | hskp16
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0
          | c1_1(X74) ) )
    & ( ( c3_1(a836)
        & c0_1(a836)
        & ~ c1_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ~ hskp31
      | ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | c1_1(X75)
          | c0_1(X75)
          | c2_1(X75) )
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0
          | ~ c0_1(X76) )
      | hskp3 )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0
          | c3_1(X77) )
      | hskp14
      | ! [X78] :
          ( ~ ndr1_0
          | c2_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) ) )
    & ( ( ~ c0_1(a843)
        & ~ c3_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ~ hskp2
      | ( ~ c1_1(a830)
        & ndr1_0
        & ~ c2_1(a830)
        & c0_1(a830) ) )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp5
      | ! [X79] :
          ( c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0
          | c3_1(X79) )
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ ndr1_0
          | ~ c2_1(X80)
          | ~ c0_1(X80) ) )
    & ( ! [X81] :
          ( ~ c3_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0
          | c2_1(X81) )
      | hskp2
      | ! [X82] :
          ( c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0
          | c0_1(X82) ) )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & ndr1_0
        & c0_1(a863) )
      | ~ hskp19 )
    & ( ! [X83] :
          ( c0_1(X83)
          | c1_1(X83)
          | ~ ndr1_0
          | c3_1(X83) )
      | hskp8
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X85] :
          ( ~ c3_1(X85)
          | ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85) )
      | ! [X86] :
          ( c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0
          | ~ c1_1(X86) ) )
    & ( ! [X87] :
          ( ~ ndr1_0
          | c1_1(X87)
          | c0_1(X87)
          | ~ c3_1(X87) )
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ ndr1_0
          | ~ c1_1(X88)
          | c0_1(X88) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c0_1(X89)
          | ~ c2_1(X89) ) )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ ndr1_0
          | c3_1(X90)
          | ~ c2_1(X90) )
      | hskp7
      | hskp28 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ ndr1_0
          | ~ c0_1(X91)
          | ~ c1_1(X91) )
      | ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ( ndr1_0
        & ~ c2_1(a838)
        & ~ c3_1(a838)
        & c1_1(a838) )
      | ~ hskp8 )
    & ( hskp25
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0
          | ~ c0_1(X93) )
      | hskp1 )
    & ( ( ~ c2_1(a901)
        & ndr1_0
        & c0_1(a901)
        & ~ c3_1(a901) )
      | ~ hskp26 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c0_1(X94)
          | c2_1(X94) )
      | hskp3
      | hskp29 )
    & ( ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0
          | c0_1(X95) )
      | hskp19
      | hskp22 )
    & ( ! [X96] :
          ( ~ c2_1(X96)
          | ~ ndr1_0
          | c1_1(X96)
          | c0_1(X96) )
      | hskp9
      | hskp0 )
    & ( ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 )
      | hskp12
      | hskp14 )
    & ( hskp1
      | hskp13
      | ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0
          | ~ c3_1(X98) ) )
    & ( ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ ndr1_0
          | c3_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) )
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0
          | ~ c3_1(X101) ) )
    & ( hskp21
      | hskp7 )
    & ( hskp24
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ ndr1_0
          | c1_1(X102)
          | c3_1(X102) )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c2_1(X103)
          | ~ ndr1_0
          | c1_1(X103) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919) ) )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( hskp22
      | ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp11
      | ! [X105] :
          ( c3_1(X105)
          | c2_1(X105)
          | ~ ndr1_0
          | c0_1(X105) )
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0
          | ~ c1_1(X106) ) )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ ndr1_0
          | ~ c3_1(X107)
          | c2_1(X107) )
      | hskp25
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108) ) )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | hskp12
      | hskp2 )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c3_1(a857)
        & c2_1(a857) ) )
    & ( ! [X110] :
          ( ~ c3_1(X110)
          | c0_1(X110)
          | ~ ndr1_0
          | ~ c1_1(X110) )
      | ! [X111] :
          ( ~ c2_1(X111)
          | ~ ndr1_0
          | c3_1(X111)
          | c0_1(X111) )
      | hskp18 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X49] :
          ( ~ c1_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0
          | ~ c2_1(X49) )
      | hskp2
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( ! [X100] :
          ( c1_1(X100)
          | ~ ndr1_0
          | ~ c2_1(X100)
          | ~ c0_1(X100) )
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ ndr1_0
          | c3_1(X101)
          | ~ c0_1(X101) )
      | ! [X102] :
          ( c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0
          | c1_1(X102) ) )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | ~ c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp10
      | hskp28 )
    & ( ! [X63] :
          ( c1_1(X63)
          | ~ ndr1_0
          | c3_1(X63)
          | ~ c0_1(X63) )
      | hskp25
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0
          | c3_1(X34) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | c1_1(X28)
          | ~ c3_1(X28)
          | c2_1(X28) )
      | hskp28
      | hskp3 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0
          | ~ c1_1(X106) )
      | hskp17
      | ! [X107] :
          ( c1_1(X107)
          | ~ ndr1_0
          | c2_1(X107)
          | ~ c0_1(X107) ) )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c2_1(X39)
          | ~ ndr1_0
          | ~ c0_1(X39)
          | ~ c3_1(X39) )
      | hskp18 )
    & ( hskp2
      | ! [X10] :
          ( c1_1(X10)
          | ~ ndr1_0
          | c3_1(X10)
          | c2_1(X10) )
      | hskp9 )
    & ( ( ~ c1_1(a868)
        & ~ c3_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp10
      | ! [X29] :
          ( c2_1(X29)
          | ~ ndr1_0
          | c3_1(X29)
          | ~ c0_1(X29) )
      | ! [X30] :
          ( c2_1(X30)
          | c0_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp25
      | ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0
          | ~ c3_1(X109) ) )
    & ( ~ hskp20
      | ( c1_1(a864)
        & ~ c2_1(a864)
        & ~ c0_1(a864)
        & ndr1_0 ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp20
      | hskp26 )
    & ( ~ hskp1
      | ( ~ c3_1(a829)
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ndr1_0 ) )
    & ( hskp17
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ ndr1_0
          | c2_1(X80)
          | ~ c1_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | c2_1(X81)
          | c1_1(X81) ) )
    & ( ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0
          | ~ c3_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52) )
      | hskp30 )
    & ( hskp11
      | ! [X95] :
          ( ~ ndr1_0
          | c3_1(X95)
          | ~ c2_1(X95)
          | c0_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ c3_1(X94) ) )
    & ( ! [X77] :
          ( c0_1(X77)
          | c3_1(X77)
          | ~ ndr1_0
          | c1_1(X77) )
      | hskp1
      | hskp28 )
    & ( ~ hskp5
      | ( c0_1(a833)
        & ndr1_0
        & ~ c3_1(a833)
        & c2_1(a833) ) )
    & ( ( ~ c0_1(a865)
        & ~ c1_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( hskp16
      | hskp6
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9) ) )
    & ( ! [X41] :
          ( c2_1(X41)
          | ~ ndr1_0
          | c1_1(X41)
          | ~ c0_1(X41) )
      | hskp19
      | hskp11 )
    & ( ~ hskp6
      | ( ~ c3_1(a835)
        & ~ c0_1(a835)
        & ndr1_0
        & ~ c2_1(a835) ) )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ ndr1_0
          | c1_1(X103)
          | ~ c0_1(X103) )
      | hskp3
      | ! [X104] :
          ( ~ c0_1(X104)
          | ~ c3_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a831)
        & ~ c1_1(a831)
        & ndr1_0
        & c3_1(a831) )
      | ~ hskp3 )
    & ( ~ hskp9
      | ( ~ c2_1(a841)
        & ndr1_0
        & c1_1(a841)
        & c0_1(a841) ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | c2_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71) )
      | hskp3
      | hskp0 )
    & ( hskp4
      | ! [X88] :
          ( ~ c3_1(X88)
          | ~ ndr1_0
          | c2_1(X88)
          | c0_1(X88) )
      | ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp28
      | ! [X85] :
          ( ~ ndr1_0
          | c3_1(X85)
          | ~ c2_1(X85)
          | ~ c1_1(X85) ) )
    & ( hskp0
      | ! [X15] :
          ( c2_1(X15)
          | ~ ndr1_0
          | c3_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c1_1(X14)
          | c0_1(X14)
          | c2_1(X14) ) )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp21
      | ! [X62] :
          ( ~ c3_1(X62)
          | c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( ~ c2_1(a846)
        & ndr1_0
        & ~ c0_1(a846)
        & c3_1(a846) ) )
    & ( hskp19
      | hskp23
      | hskp30 )
    & ( hskp29
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X56] :
          ( c2_1(X56)
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0
          | ~ c3_1(X54) )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0
          | c3_1(X55) ) )
    & ( hskp1
      | ! [X110] :
          ( ~ c3_1(X110)
          | c1_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0
          | c0_1(X111) ) )
    & ( ! [X91] :
          ( c0_1(X91)
          | c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp20
      | hskp19 )
    & ( hskp4
      | hskp9
      | hskp14 )
    & ( hskp21
      | hskp14 )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & ndr1_0
        & c1_1(a884) )
      | ~ hskp24 )
    & ( ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | c1_1(X8)
          | c3_1(X8) )
      | hskp29
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ c0_1(X7) ) )
    & ( hskp13
      | ! [X73] :
          ( ~ c0_1(X73)
          | c1_1(X73)
          | ~ ndr1_0
          | c3_1(X73) )
      | ! [X74] :
          ( c1_1(X74)
          | ~ ndr1_0
          | c2_1(X74)
          | ~ c3_1(X74) ) )
    & ( ( c2_1(a861)
        & ~ c1_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ! [X65] :
          ( c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0
          | ~ c3_1(X65) )
      | hskp15
      | ! [X66] :
          ( c2_1(X66)
          | ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c0_1(X66) ) )
    & ( hskp5
      | ! [X32] :
          ( ~ ndr1_0
          | c1_1(X32)
          | c0_1(X32)
          | c2_1(X32) )
      | hskp4 )
    & ( ( ndr1_0
        & ~ c1_1(a844)
        & ~ c2_1(a844)
        & c3_1(a844) )
      | ~ hskp11 )
    & ( ~ hskp22
      | ( c1_1(a866)
        & c0_1(a866)
        & ndr1_0
        & ~ c3_1(a866) ) )
    & ( ( c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( hskp19
      | hskp0
      | ! [X21] :
          ( c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0
          | ~ c3_1(X21) ) )
    & ( hskp14
      | ! [X37] :
          ( c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0
          | ~ c0_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38) ) )
    & ( ! [X105] :
          ( c3_1(X105)
          | ~ ndr1_0
          | ~ c1_1(X105)
          | c0_1(X105) )
      | hskp17
      | hskp4 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp29
      | ! [X93] :
          ( ~ c0_1(X93)
          | ~ ndr1_0
          | ~ c1_1(X93)
          | c3_1(X93) ) )
    & ( ( ~ c1_1(a859)
        & ~ c3_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp4
      | hskp24
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0
          | c2_1(X45) ) )
    & ( ~ hskp28
      | ( c1_1(a839)
        & c0_1(a839)
        & c3_1(a839)
        & ndr1_0 ) )
    & ( ( ~ c2_1(a832)
        & ~ c3_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( hskp12
      | ! [X16] :
          ( c2_1(X16)
          | ~ ndr1_0
          | c3_1(X16)
          | c0_1(X16) )
      | hskp13 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | c3_1(X96)
          | c2_1(X96)
          | c1_1(X96) )
      | hskp19
      | hskp31 )
    & ( ! [X46] :
          ( c1_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0
          | c2_1(X46) )
      | hskp9
      | hskp7 )
    & ( ! [X19] :
          ( ~ c0_1(X19)
          | ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ ndr1_0
          | c2_1(X18)
          | c0_1(X18)
          | c1_1(X18) )
      | hskp4 )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | hskp22
      | hskp8 )
    & ( hskp30
      | hskp16
      | ! [X20] :
          ( ~ c3_1(X20)
          | c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0
          | c3_1(X57) )
      | hskp11
      | hskp4 )
    & ( hskp10
      | hskp7
      | hskp21 )
    & ( ~ hskp29
      | ( c1_1(a849)
        & c0_1(a849)
        & c2_1(a849)
        & ndr1_0 ) )
    & ( ( ~ c1_1(a858)
        & ndr1_0
        & ~ c0_1(a858)
        & ~ c2_1(a858) )
      | ~ hskp16 )
    & ( ( c2_1(a828)
        & c1_1(a828)
        & ndr1_0
        & ~ c0_1(a828) )
      | ~ hskp0 )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c0_1(X12)
          | c1_1(X12)
          | c2_1(X12) )
      | ! [X13] :
          ( c1_1(X13)
          | ~ ndr1_0
          | c0_1(X13)
          | c3_1(X13) )
      | hskp6 )
    & ( ! [X76] :
          ( c3_1(X76)
          | ~ ndr1_0
          | ~ c1_1(X76)
          | ~ c2_1(X76) )
      | hskp17
      | ! [X75] :
          ( ~ ndr1_0
          | c2_1(X75)
          | ~ c1_1(X75)
          | c3_1(X75) ) )
    & ( hskp5
      | hskp16
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0
          | c1_1(X4) ) )
    & ( ( c3_1(a836)
        & c0_1(a836)
        & ~ c1_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ~ hskp31
      | ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | c1_1(X23)
          | c0_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0
          | ~ c0_1(X22) )
      | hskp3 )
    & ( ! [X98] :
          ( ~ c2_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0
          | c3_1(X98) )
      | hskp14
      | ! [X97] :
          ( ~ ndr1_0
          | c2_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97) ) )
    & ( ( ~ c0_1(a843)
        & ~ c3_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ~ hskp2
      | ( ~ c1_1(a830)
        & ndr1_0
        & ~ c2_1(a830)
        & c0_1(a830) ) )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp5
      | ! [X26] :
          ( c1_1(X26)
          | c0_1(X26)
          | ~ ndr1_0
          | c3_1(X26) )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c0_1(X27) ) )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0
          | c2_1(X68) )
      | hskp2
      | ! [X67] :
          ( c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0
          | c0_1(X67) ) )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & ndr1_0
        & c0_1(a863) )
      | ~ hskp19 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0
          | c3_1(X36) )
      | hskp8
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c0_1(X69) )
      | ! [X70] :
          ( c0_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0
          | ~ c1_1(X70) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | c1_1(X59)
          | c0_1(X59)
          | ~ c3_1(X59) )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58)
          | c0_1(X58) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c0_1(X60)
          | ~ c2_1(X60) ) )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ ndr1_0
          | c3_1(X79)
          | ~ c2_1(X79) )
      | hskp7
      | hskp28 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ ndr1_0
          | ~ c0_1(X89)
          | ~ c1_1(X89) )
      | ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ( ndr1_0
        & ~ c2_1(a838)
        & ~ c3_1(a838)
        & c1_1(a838) )
      | ~ hskp8 )
    & ( hskp25
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0
          | ~ c0_1(X31) )
      | hskp1 )
    & ( ( ~ c2_1(a901)
        & ndr1_0
        & c0_1(a901)
        & ~ c3_1(a901) )
      | ~ hskp26 )
    & ( ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | c0_1(X108)
          | c2_1(X108) )
      | hskp3
      | hskp29 )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0
          | c0_1(X47) )
      | hskp19
      | hskp22 )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ ndr1_0
          | c1_1(X42)
          | c0_1(X42) )
      | hskp9
      | hskp0 )
    & ( ! [X17] :
          ( ~ c1_1(X17)
          | c2_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | hskp12
      | hskp14 )
    & ( hskp1
      | hskp13
      | ! [X0] :
          ( c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0
          | ~ c3_1(X0) ) )
    & ( ! [X1] :
          ( ~ c1_1(X1)
          | ~ c2_1(X1)
          | c0_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | ~ c0_1(X2)
          | c2_1(X2) )
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0
          | ~ c3_1(X3) ) )
    & ( hskp21
      | hskp7 )
    & ( hskp24
      | ! [X5] :
          ( ~ c0_1(X5)
          | ~ ndr1_0
          | c1_1(X5)
          | c3_1(X5) )
      | ! [X6] :
          ( ~ c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0
          | c1_1(X6) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919) ) )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( hskp22
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp11
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | ~ ndr1_0
          | c0_1(X51) )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50) ) )
    & ( ! [X25] :
          ( ~ c0_1(X25)
          | ~ ndr1_0
          | ~ c3_1(X25)
          | c2_1(X25) )
      | hskp25
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ c3_1(X24) ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | hskp12
      | hskp2 )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c3_1(a857)
        & c2_1(a857) ) )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | c0_1(X43)
          | ~ ndr1_0
          | ~ c1_1(X43) )
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ ndr1_0
          | c3_1(X44)
          | c0_1(X44) )
      | hskp18 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ( ~ c0_1(a865)
        & ~ c1_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ! [X45] :
          ( ~ c1_1(X45)
          | c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | hskp4
      | hskp24 )
    & ( hskp8
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | c1_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a843)
        & ~ c3_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( hskp29
      | hskp8
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | hskp29
      | hskp3 )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( ! [X95] :
          ( c3_1(X95)
          | ~ c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( ~ c1_1(X43)
          | ~ c3_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp18 )
    & ( hskp30
      | hskp16
      | ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ~ hskp31
      | ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 ) )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c2_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | c0_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | hskp2
      | ! [X49] :
          ( ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a844)
        & ~ c2_1(a844)
        & c3_1(a844) )
      | ~ hskp11 )
    & ( ~ hskp6
      | ( ~ c3_1(a835)
        & ~ c0_1(a835)
        & ndr1_0
        & ~ c2_1(a835) ) )
    & ( ! [X6] :
          ( c1_1(X6)
          | c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp24
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | hskp17
      | ! [X106] :
          ( ~ c0_1(X106)
          | ~ c1_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & ndr1_0
        & c1_1(a884) )
      | ~ hskp24 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( ! [X10] :
          ( c3_1(X10)
          | c2_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 )
      | hskp2
      | hskp9 )
    & ( ( ~ c2_1(a901)
        & ndr1_0
        & c0_1(a901)
        & ~ c3_1(a901) )
      | ~ hskp26 )
    & ( ! [X11] :
          ( c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | hskp22
      | hskp4 )
    & ( hskp25
      | hskp1
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp21
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp2
      | hskp12 )
    & ( hskp9
      | hskp7
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c0_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( c2_1(a861)
        & ~ c1_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ! [X41] :
          ( c1_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | hskp11
      | hskp19 )
    & ( ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | c2_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp12
      | ! [X16] :
          ( c3_1(X16)
          | c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & ndr1_0
        & c0_1(a863) )
      | ~ hskp19 )
    & ( hskp14
      | ! [X17] :
          ( c2_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp14
      | ! [X97] :
          ( ~ c0_1(X97)
          | c1_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | c3_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X91] :
          ( c0_1(X91)
          | ~ c2_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | hskp31
      | ! [X90] :
          ( ~ c0_1(X90)
          | c1_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( c0_1(X111)
          | c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c1_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp5
      | hskp16 )
    & ( ( c3_1(a836)
        & c0_1(a836)
        & ~ c1_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a868)
        & ~ c3_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ! [X9] :
          ( c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | hskp16
      | hskp6 )
    & ( hskp19
      | hskp23
      | hskp30 )
    & ( hskp17
      | ! [X75] :
          ( c3_1(X75)
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c2_1(X33)
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | hskp5
      | ! [X26] :
          ( c1_1(X26)
          | c3_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919) ) )
    & ( hskp21
      | hskp14 )
    & ( hskp4
      | hskp9
      | hskp14 )
    & ( ~ hskp29
      | ( c1_1(a849)
        & c0_1(a849)
        & c2_1(a849)
        & ndr1_0 ) )
    & ( ! [X12] :
          ( c2_1(X12)
          | c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | hskp6
      | ! [X13] :
          ( c1_1(X13)
          | c3_1(X13)
          | c0_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X7] :
          ( c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | c1_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c2_1(X68)
          | ~ c3_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | c0_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | hskp2 )
    & ( hskp4
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c2_1(X18)
          | c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( c0_1(a833)
        & ndr1_0
        & ~ c3_1(a833)
        & c2_1(a833) ) )
    & ( ! [X71] :
          ( c2_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | hskp3
      | hskp0 )
    & ( ! [X39] :
          ( c2_1(X39)
          | ~ c0_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp18 )
    & ( hskp25
      | ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ( c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ! [X37] :
          ( c2_1(X37)
          | ~ c3_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | hskp14
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c0_1(X77)
          | c1_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | c2_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890) ) )
    & ( ( c2_1(a828)
        & c1_1(a828)
        & ndr1_0
        & ~ c0_1(a828) )
      | ~ hskp0 )
    & ( hskp0
      | ! [X15] :
          ( c3_1(X15)
          | c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | c1_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c0_1(X87)
          | c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp4
      | ! [X88] :
          ( c2_1(X88)
          | c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c3_1(a857)
        & c2_1(a857) ) )
    & ( hskp0
      | hskp9
      | ! [X42] :
          ( c0_1(X42)
          | c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 ) )
    & ( ~ hskp1
      | ( ~ c3_1(a829)
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp23
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c3_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( ~ c2_1(a841)
        & ndr1_0
        & c1_1(a841)
        & c0_1(a841) ) )
    & ( ( ndr1_0
        & ~ c2_1(a838)
        & ~ c3_1(a838)
        & c1_1(a838) )
      | ~ hskp8 )
    & ( ( c2_1(a831)
        & ~ c1_1(a831)
        & ndr1_0
        & c3_1(a831) )
      | ~ hskp3 )
    & ( hskp3
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | c0_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp4
      | ! [X57] :
          ( c3_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp7
      | hskp21 )
    & ( hskp21
      | hskp7 )
    & ( ~ hskp22
      | ( c1_1(a866)
        & c0_1(a866)
        & ndr1_0
        & ~ c3_1(a866) ) )
    & ( ! [X0] :
          ( ~ c0_1(X0)
          | c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | hskp1
      | hskp13 )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp8
      | hskp22 )
    & ( hskp31
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( hskp17
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 ) )
    & ( ~ hskp20
      | ( c1_1(a864)
        & ~ c2_1(a864)
        & ~ c0_1(a864)
        & ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c0_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X93] :
          ( ~ c1_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | ~ c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp26
      | ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | c1_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | hskp3
      | ! [X104] :
          ( ~ c0_1(X104)
          | c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X74] :
          ( c2_1(X74)
          | ~ c3_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp28 )
    & ( ! [X56] :
          ( c2_1(X56)
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | c2_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp28
      | ( c1_1(a839)
        & c0_1(a839)
        & c3_1(a839)
        & ndr1_0 ) )
    & ( hskp5
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp22
      | hskp19 )
    & ( ! [X105] :
          ( c0_1(X105)
          | c3_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp17
      | hskp4 )
    & ( ( ~ c1_1(a859)
        & ~ c3_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ! [X32] :
          ( c1_1(X32)
          | c0_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ( ~ c1_1(a858)
        & ndr1_0
        & ~ c0_1(a858)
        & ~ c2_1(a858) )
      | ~ hskp16 )
    & ( ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | ~ c0_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ( ~ c2_1(a832)
        & ~ c3_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp25
      | ! [X63] :
          ( ~ c0_1(X63)
          | c1_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( ~ hskp2
      | ( ~ c1_1(a830)
        & ndr1_0
        & ~ c2_1(a830)
        & c0_1(a830) ) )
    & ( ! [X1] :
          ( ~ c2_1(X1)
          | c0_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | c3_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( ~ c2_1(a846)
        & ndr1_0
        & ~ c0_1(a846)
        & c3_1(a846) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ( ~ c0_1(a865)
        & ~ c1_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | c2_1(X45)
            | ~ c0_1(X45) ) )
      | hskp4
      | hskp24 )
    & ( hskp8
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | ~ c2_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c1_1(X36)
            | c3_1(X36) ) ) )
    & ( ( ~ c0_1(a843)
        & ~ c3_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( hskp29
      | hskp8
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | ~ c1_1(X99)
            | ~ c2_1(X99) ) ) )
    & ( ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c1_1(X108)
            | c0_1(X108) ) )
      | hskp29
      | hskp3 )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | ~ c2_1(X95)
            | c0_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | hskp11 )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | ~ c3_1(X43)
            | c0_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c2_1(X44) ) )
      | hskp18 )
    & ( hskp30
      | hskp16
      | ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c2_1(X20)
            | ~ c3_1(X20) ) ) )
    & ( ~ hskp31
      | ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c2_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c3_1(X102)
            | c1_1(X102) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c0_1(X100)
            | c1_1(X100) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c0_1(X48)
            | c2_1(X48) ) )
      | hskp2
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) ) )
    & ( ( ndr1_0
        & ~ c1_1(a844)
        & ~ c2_1(a844)
        & c3_1(a844) )
      | ~ hskp11 )
    & ( ~ hskp6
      | ( ~ c3_1(a835)
        & ~ c0_1(a835)
        & ndr1_0
        & ~ c2_1(a835) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c2_1(X6)
            | ~ c3_1(X6) ) )
      | hskp24
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c3_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | ~ c0_1(X107)
            | c1_1(X107) ) )
      | hskp17
      | ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | ~ c1_1(X106)
            | c3_1(X106) ) ) )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & ndr1_0
        & c1_1(a884) )
      | ~ hskp24 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | c2_1(X10)
            | c1_1(X10) ) )
      | hskp2
      | hskp9 )
    & ( ( ~ c2_1(a901)
        & ndr1_0
        & c0_1(a901)
        & ~ c3_1(a901) )
      | ~ hskp26 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c1_1(X11)
            | ~ c0_1(X11) ) )
      | hskp22
      | hskp4 )
    & ( hskp25
      | hskp1
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c1_1(X31)
            | ~ c0_1(X31) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c0_1(X61)
            | ~ c2_1(X61) ) )
      | hskp21
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c3_1(X82)
            | ~ c2_1(X82) ) )
      | hskp2
      | hskp12 )
    & ( hskp9
      | hskp7
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | ~ c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | c0_1(X51)
            | c2_1(X51) ) )
      | hskp11 )
    & ( ( c2_1(a861)
        & ~ c1_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | ~ c0_1(X41)
            | c2_1(X41) ) )
      | hskp11
      | hskp19 )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) )
      | hskp10 )
    & ( hskp12
      | ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | c0_1(X16)
            | c2_1(X16) ) )
      | hskp13 )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & ndr1_0
        & c0_1(a863) )
      | ~ hskp19 )
    & ( hskp14
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | ~ c1_1(X17)
            | c0_1(X17) ) )
      | hskp12 )
    & ( hskp14
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | c1_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | c3_1(X98)
            | ~ c2_1(X98) ) ) )
    & ( hskp20
      | hskp19
      | ! [X91] :
          ( ndr1_0
         => ( c0_1(X91)
            | ~ c2_1(X91)
            | c3_1(X91) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c2_1(X89) ) )
      | hskp31
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c1_1(X90)
            | c3_1(X90) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( c0_1(X111)
            | c2_1(X111)
            | c1_1(X111) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c1_1(X110)
            | ~ c3_1(X110) ) )
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c2_1(X4)
            | ~ c3_1(X4) ) )
      | hskp5
      | hskp16 )
    & ( ( c3_1(a836)
        & c0_1(a836)
        & ~ c1_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a868)
        & ~ c3_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | ~ c2_1(X9)
            | ~ c0_1(X9) ) )
      | hskp16
      | hskp6 )
    & ( hskp19
      | hskp23
      | hskp30 )
    & ( hskp17
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | ~ c2_1(X76) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c3_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) )
      | hskp7 )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | c1_1(X79)
            | c3_1(X79) ) )
      | hskp28
      | hskp7 )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c0_1(X27) ) )
      | hskp5
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | c3_1(X26)
            | c0_1(X26) ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919) ) )
    & ( hskp21
      | hskp14 )
    & ( hskp4
      | hskp9
      | hskp14 )
    & ( ~ hskp29
      | ( c1_1(a849)
        & c0_1(a849)
        & c2_1(a849)
        & ndr1_0 ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c1_1(X12)
            | ~ c0_1(X12) ) )
      | hskp6
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | c3_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp29
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | c3_1(X8)
            | c1_1(X8) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | ~ c3_1(X68)
            | ~ c1_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c0_1(X67)
            | c2_1(X67) ) )
      | hskp2 )
    & ( hskp4
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c3_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c2_1(X18)
            | c0_1(X18)
            | c1_1(X18) ) ) )
    & ( ~ hskp5
      | ( c0_1(a833)
        & ndr1_0
        & ~ c3_1(a833)
        & c2_1(a833) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c0_1(X71)
            | c3_1(X71) ) )
      | hskp3
      | hskp0 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c2_1(X39)
            | ~ c0_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) )
      | hskp18 )
    & ( hskp25
      | ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c1_1(X109)
            | ~ c3_1(X109) ) )
      | hskp27 )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | ~ c1_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) )
      | hskp15 )
    & ( ( c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c2_1(X37)
            | ~ c3_1(X37)
            | ~ c0_1(X37) ) )
      | hskp14
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | ~ c0_1(X38)
            | ~ c2_1(X38) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c0_1(X77)
            | c1_1(X77)
            | c3_1(X77) ) )
      | hskp28
      | hskp1 )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | c2_1(X28)
            | c1_1(X28) ) )
      | hskp28
      | hskp3 )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890) ) )
    & ( ( c2_1(a828)
        & c1_1(a828)
        & ndr1_0
        & ~ c0_1(a828) )
      | ~ hskp0 )
    & ( hskp0
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c0_1(X15)
            | c2_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | c3_1(X87)
            | ~ c2_1(X87) ) )
      | hskp4
      | ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c0_1(X88)
            | ~ c3_1(X88) ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c3_1(a857)
        & c2_1(a857) ) )
    & ( hskp0
      | hskp9
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c1_1(X42)
            | ~ c2_1(X42) ) ) )
    & ( ~ hskp1
      | ( ~ c3_1(a829)
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ndr1_0 ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | ~ c2_1(X69)
            | ~ c3_1(X69) ) )
      | hskp23
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp30
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | ~ c3_1(X53)
            | c1_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | ~ c2_1(X52) ) ) )
    & ( ~ hskp9
      | ( ~ c2_1(a841)
        & ndr1_0
        & c1_1(a841)
        & c0_1(a841) ) )
    & ( ( ndr1_0
        & ~ c2_1(a838)
        & ~ c3_1(a838)
        & c1_1(a838) )
      | ~ hskp8 )
    & ( ( c2_1(a831)
        & ~ c1_1(a831)
        & ndr1_0
        & c3_1(a831) )
      | ~ hskp3 )
    & ( hskp3
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c2_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp11
      | hskp4
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp10
      | hskp7
      | hskp21 )
    & ( hskp21
      | hskp7 )
    & ( ~ hskp22
      | ( c1_1(a866)
        & c0_1(a866)
        & ndr1_0
        & ~ c3_1(a866) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c0_1(X0)
            | c1_1(X0)
            | ~ c3_1(X0) ) )
      | hskp1
      | hskp13 )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c1_1(X78)
            | ~ c0_1(X78) ) )
      | hskp8
      | hskp22 )
    & ( hskp31
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | c3_1(X96) ) )
      | hskp19 )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( hskp17
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c1_1(X81)
            | c2_1(X81) ) ) )
    & ( ~ hskp20
      | ( c1_1(a864)
        & ~ c2_1(a864)
        & ~ c0_1(a864)
        & ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | ~ c3_1(X21)
            | c2_1(X21) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c0_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c0_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( hskp29
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c3_1(X93)
            | ~ c0_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c3_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp20
      | hskp26
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c0_1(X72)
            | c3_1(X72) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c1_1(X103)
            | c2_1(X103) ) )
      | hskp3
      | ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | c2_1(X104)
            | ~ c3_1(X104) ) ) )
    & ( hskp13
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c3_1(X74)
            | c1_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | c1_1(X73)
            | ~ c0_1(X73) ) ) )
    & ( hskp10
      | hskp28 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c3_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c2_1(X55)
            | c3_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) ) )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp28
      | ( c1_1(a839)
        & c0_1(a839)
        & c3_1(a839)
        & ndr1_0 ) )
    & ( hskp5
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c3_1(X84)
            | c1_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c2_1(X83)
            | c0_1(X83) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c2_1(X47) ) )
      | hskp22
      | hskp19 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c0_1(X105)
            | c3_1(X105)
            | ~ c1_1(X105) ) )
      | hskp17
      | hskp4 )
    & ( ( ~ c1_1(a859)
        & ~ c3_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | c0_1(X32)
            | c2_1(X32) ) )
      | hskp5
      | hskp4 )
    & ( ( ~ c1_1(a858)
        & ndr1_0
        & ~ c0_1(a858)
        & ~ c2_1(a858) )
      | ~ hskp16 )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c0_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | ~ c0_1(X25)
            | ~ c3_1(X25) ) )
      | hskp25 )
    & ( ( ~ c2_1(a832)
        & ~ c3_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | hskp25
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c1_1(X63)
            | c3_1(X63) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | c1_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c1_1(X85)
            | c3_1(X85) ) )
      | hskp28 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( ~ hskp2
      | ( ~ c1_1(a830)
        & ndr1_0
        & ~ c2_1(a830)
        & c0_1(a830) ) )
    & ( ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c0_1(X1)
            | ~ c1_1(X1) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c2_1(X3)
            | ~ c3_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | c3_1(X2)
            | c2_1(X2) ) ) )
    & ( ~ hskp13
      | ( ~ c2_1(a846)
        & ndr1_0
        & ~ c0_1(a846)
        & c3_1(a846) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ( ~ c0_1(a865)
            & ~ c1_1(a865)
            & c2_1(a865)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | ~ c0_1(X45) ) )
          | hskp4
          | hskp24 )
        & ( hskp8
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c1_1(X36)
                | c3_1(X36) ) ) )
        & ( ( ~ c0_1(a843)
            & ~ c3_1(a843)
            & c1_1(a843)
            & ndr1_0 )
          | ~ hskp10 )
        & ( hskp9
          | hskp22
          | hskp6 )
        & ( hskp29
          | hskp8
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c1_1(X99)
                | ~ c2_1(X99) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c1_1(X108)
                | c0_1(X108) ) )
          | hskp29
          | hskp3 )
        & ( hskp16
          | hskp17
          | hskp2 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c2_1(X95)
                | c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | ~ c3_1(X43)
                | c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | hskp18 )
        & ( hskp30
          | hskp16
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ~ hskp31
          | ( c3_1(a875)
            & c2_1(a875)
            & c0_1(a875)
            & ndr1_0 ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c2_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c0_1(X48)
                | c2_1(X48) ) )
          | hskp2
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a844)
            & ~ c2_1(a844)
            & c3_1(a844) )
          | ~ hskp11 )
        & ( ~ hskp6
          | ( ~ c3_1(a835)
            & ~ c0_1(a835)
            & ndr1_0
            & ~ c2_1(a835) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | ~ c3_1(X6) ) )
          | hskp24
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c3_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | c1_1(X107) ) )
          | hskp17
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | c3_1(X106) ) ) )
        & ( ( ~ c2_1(a884)
            & c3_1(a884)
            & ndr1_0
            & c1_1(a884) )
          | ~ hskp24 )
        & ( hskp16
          | hskp8
          | hskp31 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c2_1(X10)
                | c1_1(X10) ) )
          | hskp2
          | hskp9 )
        & ( ( ~ c2_1(a901)
            & ndr1_0
            & c0_1(a901)
            & ~ c3_1(a901) )
          | ~ hskp26 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) )
          | hskp22
          | hskp4 )
        & ( hskp25
          | hskp1
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c0_1(X61)
                | ~ c2_1(X61) ) )
          | hskp21
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c3_1(X82)
                | ~ c2_1(X82) ) )
          | hskp2
          | hskp12 )
        & ( hskp9
          | hskp7
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c0_1(X51)
                | c2_1(X51) ) )
          | hskp11 )
        & ( ( c2_1(a861)
            & ~ c1_1(a861)
            & c0_1(a861)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | ~ c0_1(X41)
                | c2_1(X41) ) )
          | hskp11
          | hskp19 )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) )
          | hskp10 )
        & ( hskp12
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c0_1(X16)
                | c2_1(X16) ) )
          | hskp13 )
        & ( ( ~ c2_1(a863)
            & c3_1(a863)
            & ndr1_0
            & c0_1(a863) )
          | ~ hskp19 )
        & ( hskp14
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | ~ c1_1(X17)
                | c0_1(X17) ) )
          | hskp12 )
        & ( hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c1_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c3_1(X98)
                | ~ c2_1(X98) ) ) )
        & ( hskp20
          | hskp19
          | ! [X91] :
              ( ndr1_0
             => ( c0_1(X91)
                | ~ c2_1(X91)
                | c3_1(X91) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) )
          | hskp31
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c1_1(X90)
                | c3_1(X90) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( c0_1(X111)
                | c2_1(X111)
                | c1_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c1_1(X110)
                | ~ c3_1(X110) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp5
          | hskp16 )
        & ( ( c3_1(a836)
            & c0_1(a836)
            & ~ c1_1(a836)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a868)
            & ~ c3_1(a868)
            & c2_1(a868)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | hskp16
          | hskp6 )
        & ( hskp19
          | hskp23
          | hskp30 )
        & ( hskp17
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | ~ c2_1(X76) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c3_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | hskp7 )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c1_1(X79)
                | c3_1(X79) ) )
          | hskp28
          | hskp7 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | hskp5
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | c3_1(X26)
                | c0_1(X26) ) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a919)
            & c3_1(a919)
            & c2_1(a919) ) )
        & ( hskp21
          | hskp14 )
        & ( hskp4
          | hskp9
          | hskp14 )
        & ( ~ hskp29
          | ( c1_1(a849)
            & c0_1(a849)
            & c2_1(a849)
            & ndr1_0 ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | ~ c0_1(X12) ) )
          | hskp6
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c3_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp29
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c3_1(X8)
                | c1_1(X8) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c3_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c0_1(X67)
                | c2_1(X67) ) )
          | hskp2 )
        & ( hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c3_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c0_1(X18)
                | c1_1(X18) ) ) )
        & ( ~ hskp5
          | ( c0_1(a833)
            & ndr1_0
            & ~ c3_1(a833)
            & c2_1(a833) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | hskp3
          | hskp0 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | ~ c0_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp18 )
        & ( hskp25
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | hskp27 )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | ~ c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) )
          | hskp15 )
        & ( ( c3_1(a845)
            & ~ c0_1(a845)
            & ~ c1_1(a845)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c3_1(X37)
                | ~ c0_1(X37) ) )
          | hskp14
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | c1_1(X77)
                | c3_1(X77) ) )
          | hskp28
          | hskp1 )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) )
          | hskp28
          | hskp3 )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c3_1(a890)
            & ~ c0_1(a890)
            & c2_1(a890) ) )
        & ( ( c2_1(a828)
            & c1_1(a828)
            & ndr1_0
            & ~ c0_1(a828) )
          | ~ hskp0 )
        & ( hskp0
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c0_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | ~ c2_1(X87) ) )
          | hskp4
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c0_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a857)
            & c3_1(a857)
            & c2_1(a857) ) )
        & ( hskp0
          | hskp9
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c1_1(X42)
                | ~ c2_1(X42) ) ) )
        & ( ~ hskp1
          | ( ~ c3_1(a829)
            & ~ c0_1(a829)
            & ~ c1_1(a829)
            & ndr1_0 ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp23
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp30
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | ~ c3_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | ~ c2_1(X52) ) ) )
        & ( ~ hskp9
          | ( ~ c2_1(a841)
            & ndr1_0
            & c1_1(a841)
            & c0_1(a841) ) )
        & ( ( ndr1_0
            & ~ c2_1(a838)
            & ~ c3_1(a838)
            & c1_1(a838) )
          | ~ hskp8 )
        & ( ( c2_1(a831)
            & ~ c1_1(a831)
            & ndr1_0
            & c3_1(a831) )
          | ~ hskp3 )
        & ( hskp3
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp11
          | hskp4
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp10
          | hskp7
          | hskp21 )
        & ( hskp21
          | hskp7 )
        & ( ~ hskp22
          | ( c1_1(a866)
            & c0_1(a866)
            & ndr1_0
            & ~ c3_1(a866) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c0_1(X0)
                | c1_1(X0)
                | ~ c3_1(X0) ) )
          | hskp1
          | hskp13 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | ~ c0_1(X78) ) )
          | hskp8
          | hskp22 )
        & ( hskp31
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | c3_1(X96) ) )
          | hskp19 )
        & ( ( ~ c0_1(a853)
            & c3_1(a853)
            & c1_1(a853)
            & ndr1_0 )
          | ~ hskp15 )
        & ( hskp17
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | c2_1(X81) ) ) )
        & ( ~ hskp20
          | ( c1_1(a864)
            & ~ c2_1(a864)
            & ~ c0_1(a864)
            & ndr1_0 ) )
        & ( hskp0
          | hskp19
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | ~ c3_1(X21)
                | c2_1(X21) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c0_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c0_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( hskp29
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c3_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp20
          | hskp26
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c1_1(X103)
                | c2_1(X103) ) )
          | hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c2_1(X104)
                | ~ c3_1(X104) ) ) )
        & ( hskp13
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c3_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c1_1(X73)
                | ~ c0_1(X73) ) ) )
        & ( hskp10
          | hskp28 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c3_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c2_1(X55)
                | c3_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) ) )
        & ( ( ~ c3_1(a851)
            & c2_1(a851)
            & c1_1(a851)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ~ hskp28
          | ( c1_1(a839)
            & c0_1(a839)
            & c3_1(a839)
            & ndr1_0 ) )
        & ( hskp5
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c3_1(X84)
                | c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c0_1(X83) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | hskp22
          | hskp19 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c0_1(X105)
                | c3_1(X105)
                | ~ c1_1(X105) ) )
          | hskp17
          | hskp4 )
        & ( ( ~ c1_1(a859)
            & ~ c3_1(a859)
            & c0_1(a859)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c0_1(X32)
                | c2_1(X32) ) )
          | hskp5
          | hskp4 )
        & ( ( ~ c1_1(a858)
            & ndr1_0
            & ~ c0_1(a858)
            & ~ c2_1(a858) )
          | ~ hskp16 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c0_1(X25)
                | ~ c3_1(X25) ) )
          | hskp25 )
        & ( ( ~ c2_1(a832)
            & ~ c3_1(a832)
            & ~ c1_1(a832)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp25
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c1_1(X63)
                | c3_1(X63) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | c1_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | hskp28 )
        & ( hskp1
          | hskp11
          | hskp0 )
        & ( ~ hskp2
          | ( ~ c1_1(a830)
            & ndr1_0
            & ~ c2_1(a830)
            & c0_1(a830) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c0_1(X1)
                | ~ c1_1(X1) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c2_1(X3)
                | ~ c3_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | c3_1(X2)
                | c2_1(X2) ) ) )
        & ( ~ hskp13
          | ( ~ c2_1(a846)
            & ndr1_0
            & ~ c0_1(a846)
            & c3_1(a846) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp10
          | hskp7
          | hskp21 )
        & ( hskp4
          | hskp9
          | hskp14 )
        & ( ( ~ c0_1(a865)
            & ~ c1_1(a865)
            & c2_1(a865)
            & ndr1_0 )
          | ~ hskp21 )
        & ( hskp13
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) )
          | hskp1 )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c3_1(X51)
                | ~ c2_1(X51) ) ) )
        & ( ~ hskp28
          | ( c1_1(a839)
            & c0_1(a839)
            & c3_1(a839)
            & ndr1_0 ) )
        & ( hskp16
          | hskp8
          | hskp31 )
        & ( hskp16
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c1_1(X94)
                | ~ c3_1(X94) ) )
          | hskp5 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) )
          | hskp24 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c0_1(X65)
                | ~ c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c1_1(X64)
                | c2_1(X64) ) )
          | hskp29 )
        & ( hskp6
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) )
          | hskp16 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | hskp9
          | hskp2 )
        & ( hskp22
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c1_1(X107)
                | c3_1(X107) ) )
          | hskp4 )
        & ( ( ~ c1_1(a858)
            & ndr1_0
            & ~ c0_1(a858)
            & ~ c2_1(a858) )
          | ~ hskp16 )
        & ( ~ hskp6
          | ( ~ c3_1(a835)
            & ~ c0_1(a835)
            & ndr1_0
            & ~ c2_1(a835) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | ~ c0_1(X12) ) )
          | hskp6
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp21
          | hskp7 )
        & ( hskp0
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c3_1(X1)
                | c2_1(X1) ) ) )
        & ( hskp13
          | hskp12
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) ) )
        & ( hskp14
          | hskp12
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ~ hskp1
          | ( ~ c3_1(a829)
            & ~ c0_1(a829)
            & ~ c1_1(a829)
            & ndr1_0 ) )
        & ( ~ hskp29
          | ( c1_1(a849)
            & c0_1(a849)
            & c2_1(a849)
            & ndr1_0 ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | hskp4
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c3_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( hskp30
          | hskp16
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c0_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( hskp0
          | hskp19
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c3_1(X106)
                | c2_1(X106) ) ) )
        & ( ( ~ c1_1(a859)
            & ~ c3_1(a859)
            & c0_1(a859)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c3_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) )
          | hskp3 )
        & ( hskp25
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | hskp5
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c2_1(X16)
                | ~ c3_1(X16) ) ) )
        & ( ~ hskp31
          | ( c3_1(a875)
            & c2_1(a875)
            & c0_1(a875)
            & ndr1_0 ) )
        & ( hskp3
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) )
          | hskp28 )
        & ( hskp1
          | hskp11
          | hskp0 )
        & ( hskp10
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c0_1(X24)
                | c3_1(X24) ) ) )
        & ( hskp1
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c3_1(X111)
                | ~ c0_1(X111) ) )
          | hskp25 )
        & ( ( ~ c3_1(a851)
            & c2_1(a851)
            & c1_1(a851)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ~ hskp20
          | ( c1_1(a864)
            & ~ c2_1(a864)
            & ~ c0_1(a864)
            & ndr1_0 ) )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c2_1(X10)
                | c0_1(X10) ) )
          | hskp4 )
        & ( ( c3_1(a836)
            & c0_1(a836)
            & ~ c1_1(a836)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( c2_1(a861)
            & ~ c1_1(a861)
            & c0_1(a861)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a901)
            & ndr1_0
            & c0_1(a901)
            & ~ c3_1(a901) )
          | ~ hskp26 )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c3_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c3_1(X13)
                | c1_1(X13) ) )
          | hskp7 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c3_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c3_1(X17)
                | c0_1(X17) ) )
          | hskp8 )
        & ( hskp14
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | c2_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c3_1(a890)
            & ~ c0_1(a890)
            & c2_1(a890) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c1_1(X105)
                | ~ c3_1(X105) ) )
          | hskp18 )
        & ( hskp21
          | hskp14 )
        & ( hskp11
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c1_1(X75)
                | c2_1(X75) ) )
          | hskp19 )
        & ( ~ hskp5
          | ( c0_1(a833)
            & ndr1_0
            & ~ c3_1(a833)
            & c2_1(a833) ) )
        & ( hskp0
          | hskp9
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | ~ c3_1(X43)
                | c0_1(X43) ) )
          | hskp18
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c0_1(X42)
                | ~ c2_1(X42) ) ) )
        & ( ( ~ c0_1(a843)
            & ~ c3_1(a843)
            & c1_1(a843)
            & ndr1_0 )
          | ~ hskp10 )
        & ( hskp4
          | hskp24
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) ) )
        & ( ( c2_1(a828)
            & c1_1(a828)
            & ndr1_0
            & ~ c0_1(a828) )
          | ~ hskp0 )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c1_1(X74)
                | c2_1(X74) ) )
          | hskp7
          | hskp9 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c2_1(X52)
                | ~ c1_1(X52) ) )
          | hskp22
          | hskp19 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | c0_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c2_1(X39)
                | ~ c1_1(X39) ) )
          | hskp2 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) )
          | hskp11 )
        & ( hskp30
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c1_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c0_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( hskp4
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c0_1(X29)
                | c2_1(X29) ) )
          | hskp11 )
        & ( ( c2_1(a831)
            & ~ c1_1(a831)
            & ndr1_0
            & c3_1(a831) )
          | ~ hskp3 )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | c0_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( hskp21
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c3_1(X48)
                | c1_1(X48) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c1_1(X86) ) )
          | hskp25 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c3_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | hskp15 )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a919)
            & c3_1(a919)
            & c2_1(a919) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | ~ c3_1(X5) ) )
          | hskp2 )
        & ( ( ~ c2_1(a863)
            & c3_1(a863)
            & ndr1_0
            & c0_1(a863) )
          | ~ hskp19 )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | hskp23 )
        & ( hskp3
          | hskp0
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | c2_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( ( ~ c0_1(a853)
            & c3_1(a853)
            & c1_1(a853)
            & ndr1_0 )
          | ~ hskp15 )
        & ( hskp16
          | hskp17
          | hskp2 )
        & ( hskp26
          | hskp20
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp13
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c1_1(X78)
                | ~ c3_1(X78) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a844)
            & ~ c2_1(a844)
            & c3_1(a844) )
          | ~ hskp11 )
        & ( ~ hskp22
          | ( c1_1(a866)
            & c0_1(a866)
            & ndr1_0
            & ~ c3_1(a866) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c2_1(X98)
                | c3_1(X98) ) )
          | hskp17 )
        & ( hskp28
          | hskp1
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp8
          | hskp22
          | ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) ) )
        & ( hskp7
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) )
          | hskp28 )
        & ( ~ hskp9
          | ( ~ c2_1(a841)
            & ndr1_0
            & c1_1(a841)
            & c0_1(a841) ) )
        & ( hskp17
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp12
          | hskp2
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( ( ~ c1_1(a868)
            & ~ c3_1(a868)
            & c2_1(a868)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c0_1(X58)
                | ~ c2_1(X58) ) )
          | hskp5
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | ~ c3_1(X59) ) ) )
        & ( hskp28
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c2_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a857)
            & c3_1(a857)
            & c2_1(a857) ) )
        & ( ~ hskp2
          | ( ~ c1_1(a830)
            & ndr1_0
            & ~ c2_1(a830)
            & c0_1(a830) ) )
        & ( hskp4
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c3_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c1_1(X83)
                | c3_1(X83) ) )
          | hskp31 )
        & ( ( ~ c2_1(a832)
            & ~ c3_1(a832)
            & ~ c1_1(a832)
            & ndr1_0 )
          | ~ hskp4 )
        & ( hskp19
          | hskp20
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp29
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c2_1(X44)
                | c3_1(X44) ) )
          | hskp11 )
        & ( ~ hskp13
          | ( ~ c2_1(a846)
            & ndr1_0
            & ~ c0_1(a846)
            & c3_1(a846) ) )
        & ( hskp19
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | hskp31 )
        & ( hskp14
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | c3_1(X73) ) ) )
        & ( hskp29
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) )
          | hskp8 )
        & ( hskp19
          | hskp23
          | hskp30 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | ~ c2_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp9
          | hskp22
          | hskp6 )
        & ( ( c3_1(a845)
            & ~ c0_1(a845)
            & ~ c1_1(a845)
            & ndr1_0 )
          | ~ hskp12 )
        & ( hskp3
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) ) )
        & ( hskp10
          | hskp28 )
        & ( hskp17
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | hskp4 )
        & ( hskp17
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | ~ c1_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c1_1(X70)
                | ~ c0_1(X70) ) ) )
        & ( hskp29
          | hskp3
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c0_1(X30)
                | c2_1(X30) ) ) )
        & ( hskp25
          | hskp27
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a838)
            & ~ c3_1(a838)
            & c1_1(a838) )
          | ~ hskp8 )
        & ( ( ~ c2_1(a884)
            & c3_1(a884)
            & ndr1_0
            & c1_1(a884) )
          | ~ hskp24 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | ~ c3_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c0_1(X2)
                | c1_1(X2) ) )
          | hskp1 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp10
        | hskp7
        | hskp21 )
      & ( hskp4
        | hskp9
        | hskp14 )
      & ( ( ~ c0_1(a865)
          & ~ c1_1(a865)
          & c2_1(a865)
          & ndr1_0 )
        | ~ hskp21 )
      & ( hskp13
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) )
        | hskp1 )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c3_1(X51)
              | ~ c2_1(X51) ) ) )
      & ( ~ hskp28
        | ( c1_1(a839)
          & c0_1(a839)
          & c3_1(a839)
          & ndr1_0 ) )
      & ( hskp16
        | hskp8
        | hskp31 )
      & ( hskp16
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | c1_1(X94)
              | ~ c3_1(X94) ) )
        | hskp5 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) )
        | hskp24 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c0_1(X65)
              | ~ c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c1_1(X64)
              | c2_1(X64) ) )
        | hskp29 )
      & ( hskp6
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) )
        | hskp16 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) )
        | hskp9
        | hskp2 )
      & ( hskp22
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c1_1(X107)
              | c3_1(X107) ) )
        | hskp4 )
      & ( ( ~ c1_1(a858)
          & ndr1_0
          & ~ c0_1(a858)
          & ~ c2_1(a858) )
        | ~ hskp16 )
      & ( ~ hskp6
        | ( ~ c3_1(a835)
          & ~ c0_1(a835)
          & ndr1_0
          & ~ c2_1(a835) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | ~ c0_1(X12) ) )
        | hskp6
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp21
        | hskp7 )
      & ( hskp0
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c3_1(X1)
              | c2_1(X1) ) ) )
      & ( hskp13
        | hskp12
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) ) )
      & ( hskp14
        | hskp12
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ~ hskp1
        | ( ~ c3_1(a829)
          & ~ c0_1(a829)
          & ~ c1_1(a829)
          & ndr1_0 ) )
      & ( ~ hskp29
        | ( c1_1(a849)
          & c0_1(a849)
          & c2_1(a849)
          & ndr1_0 ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c2_1(X8) ) )
        | hskp4
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | ~ c3_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( hskp30
        | hskp16
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | c0_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( hskp0
        | hskp19
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c3_1(X106)
              | c2_1(X106) ) ) )
      & ( ( ~ c1_1(a859)
          & ~ c3_1(a859)
          & c0_1(a859)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c3_1(X7)
              | ~ c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c0_1(X6)
              | c1_1(X6) ) )
        | hskp3 )
      & ( hskp25
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c0_1(X102)
              | c2_1(X102) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | hskp5
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c2_1(X16)
              | ~ c3_1(X16) ) ) )
      & ( ~ hskp31
        | ( c3_1(a875)
          & c2_1(a875)
          & c0_1(a875)
          & ndr1_0 ) )
      & ( hskp3
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) )
        | hskp28 )
      & ( hskp1
        | hskp11
        | hskp0 )
      & ( hskp10
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | ~ c0_1(X25)
              | c3_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | c0_1(X24)
              | c3_1(X24) ) ) )
      & ( hskp1
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c3_1(X111)
              | ~ c0_1(X111) ) )
        | hskp25 )
      & ( ( ~ c3_1(a851)
          & c2_1(a851)
          & c1_1(a851)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ~ hskp20
        | ( c1_1(a864)
          & ~ c2_1(a864)
          & ~ c0_1(a864)
          & ndr1_0 ) )
      & ( hskp5
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c2_1(X10)
              | c0_1(X10) ) )
        | hskp4 )
      & ( ( c3_1(a836)
          & c0_1(a836)
          & ~ c1_1(a836)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( c2_1(a861)
          & ~ c1_1(a861)
          & c0_1(a861)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a901)
          & ndr1_0
          & c0_1(a901)
          & ~ c3_1(a901) )
        | ~ hskp26 )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c3_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c3_1(X13)
              | c1_1(X13) ) )
        | hskp7 )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c3_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | c3_1(X17)
              | c0_1(X17) ) )
        | hskp8 )
      & ( hskp14
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | c2_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c3_1(a890)
          & ~ c0_1(a890)
          & c2_1(a890) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c1_1(X105)
              | ~ c3_1(X105) ) )
        | hskp18 )
      & ( hskp21
        | hskp14 )
      & ( hskp11
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c1_1(X75)
              | c2_1(X75) ) )
        | hskp19 )
      & ( ~ hskp5
        | ( c0_1(a833)
          & ndr1_0
          & ~ c3_1(a833)
          & c2_1(a833) ) )
      & ( hskp0
        | hskp9
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | ~ c3_1(X43)
              | c0_1(X43) ) )
        | hskp18
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | c0_1(X42)
              | ~ c2_1(X42) ) ) )
      & ( ( ~ c0_1(a843)
          & ~ c3_1(a843)
          & c1_1(a843)
          & ndr1_0 )
        | ~ hskp10 )
      & ( hskp4
        | hskp24
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | ~ c1_1(X99)
              | c2_1(X99) ) ) )
      & ( ( c2_1(a828)
          & c1_1(a828)
          & ndr1_0
          & ~ c0_1(a828) )
        | ~ hskp0 )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c1_1(X74)
              | c2_1(X74) ) )
        | hskp7
        | hskp9 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c2_1(X52)
              | ~ c1_1(X52) ) )
        | hskp22
        | hskp19 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | c0_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | ~ c2_1(X39)
              | ~ c1_1(X39) ) )
        | hskp2 )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c2_1(X27)
              | ~ c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) )
        | hskp11 )
      & ( hskp30
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c2_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | c1_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c0_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) ) )
      & ( hskp4
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c0_1(X29)
              | c2_1(X29) ) )
        | hskp11 )
      & ( ( c2_1(a831)
          & ~ c1_1(a831)
          & ndr1_0
          & c3_1(a831) )
        | ~ hskp3 )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | c0_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( hskp21
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c2_1(X47)
              | c0_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c3_1(X48)
              | c1_1(X48) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | ~ c1_1(X86) ) )
        | hskp25 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c3_1(X32)
              | c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | hskp15 )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c0_1(a919)
          & c3_1(a919)
          & c2_1(a919) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c2_1(X4)
              | c0_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c1_1(X5)
              | ~ c3_1(X5) ) )
        | hskp2 )
      & ( ( ~ c2_1(a863)
          & c3_1(a863)
          & ndr1_0
          & c0_1(a863) )
        | ~ hskp19 )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c0_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | hskp23 )
      & ( hskp3
        | hskp0
        | ! [X96] :
            ( ndr1_0
           => ( c3_1(X96)
              | c2_1(X96)
              | ~ c0_1(X96) ) ) )
      & ( ( ~ c0_1(a853)
          & c3_1(a853)
          & c1_1(a853)
          & ndr1_0 )
        | ~ hskp15 )
      & ( hskp16
        | hskp17
        | hskp2 )
      & ( hskp26
        | hskp20
        | ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp13
        | ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | c1_1(X78)
              | ~ c3_1(X78) ) ) )
      & ( ( ndr1_0
          & ~ c1_1(a844)
          & ~ c2_1(a844)
          & c3_1(a844) )
        | ~ hskp11 )
      & ( ~ hskp22
        | ( c1_1(a866)
          & c0_1(a866)
          & ndr1_0
          & ~ c3_1(a866) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c2_1(X98)
              | c3_1(X98) ) )
        | hskp17 )
      & ( hskp28
        | hskp1
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c3_1(X19)
              | c1_1(X19) ) ) )
      & ( hskp8
        | hskp22
        | ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) ) )
      & ( hskp7
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c2_1(X87)
              | c1_1(X87) ) )
        | hskp28 )
      & ( ~ hskp9
        | ( ~ c2_1(a841)
          & ndr1_0
          & c1_1(a841)
          & c0_1(a841) ) )
      & ( hskp17
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp12
        | hskp2
        | ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) ) )
      & ( ( ~ c1_1(a868)
          & ~ c3_1(a868)
          & c2_1(a868)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c0_1(X58)
              | ~ c2_1(X58) ) )
        | hskp5
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c0_1(X59)
              | ~ c3_1(X59) ) ) )
      & ( hskp28
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c2_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a857)
          & c3_1(a857)
          & c2_1(a857) ) )
      & ( ~ hskp2
        | ( ~ c1_1(a830)
          & ndr1_0
          & ~ c2_1(a830)
          & c0_1(a830) ) )
      & ( hskp4
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | c3_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c3_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c1_1(X83)
              | c3_1(X83) ) )
        | hskp31 )
      & ( ( ~ c2_1(a832)
          & ~ c3_1(a832)
          & ~ c1_1(a832)
          & ndr1_0 )
        | ~ hskp4 )
      & ( hskp19
        | hskp20
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | ~ c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp29
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | ~ c0_1(X35) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c2_1(X44)
              | c3_1(X44) ) )
        | hskp11 )
      & ( ~ hskp13
        | ( ~ c2_1(a846)
          & ndr1_0
          & ~ c0_1(a846)
          & c3_1(a846) ) )
      & ( hskp19
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | hskp31 )
      & ( hskp14
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c1_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | c3_1(X73) ) ) )
      & ( hskp29
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) )
        | hskp8 )
      & ( hskp19
        | hskp23
        | hskp30 )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | ~ c2_1(X62)
              | c1_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | c3_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp9
        | hskp22
        | hskp6 )
      & ( ( c3_1(a845)
          & ~ c0_1(a845)
          & ~ c1_1(a845)
          & ndr1_0 )
        | ~ hskp12 )
      & ( hskp3
        | ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c0_1(X68)
              | c2_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c2_1(X69) ) ) )
      & ( hskp10
        | hskp28 )
      & ( hskp17
        | ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) )
        | hskp4 )
      & ( hskp17
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | ~ c1_1(X71)
              | c3_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c1_1(X70)
              | ~ c0_1(X70) ) ) )
      & ( hskp29
        | hskp3
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c0_1(X30)
              | c2_1(X30) ) ) )
      & ( hskp25
        | hskp27
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c0_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a838)
          & ~ c3_1(a838)
          & c1_1(a838) )
        | ~ hskp8 )
      & ( ( ~ c2_1(a884)
          & c3_1(a884)
          & ndr1_0
          & c1_1(a884) )
        | ~ hskp24 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | ~ c3_1(X3)
              | c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c0_1(X2)
              | c1_1(X2) ) )
        | hskp1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1048,plain,
    ( ~ spl0_157
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f68,f372,f1045]) ).

fof(f372,plain,
    ( spl0_28
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f68,plain,
    ( ~ hskp10
    | ~ c3_1(a843) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1037,plain,
    ( ~ spl0_4
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f104,f1034,f268]) ).

fof(f268,plain,
    ( spl0_4
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f104,plain,
    ( ~ c1_1(a832)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1031,plain,
    ( ~ spl0_67
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f114,f1028,f551]) ).

fof(f551,plain,
    ( spl0_67
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f114,plain,
    ( ~ c3_1(a859)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1016,plain,
    ( ~ spl0_151
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f63,f321,f1013]) ).

fof(f321,plain,
    ( spl0_17
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f63,plain,
    ( ~ hskp2
    | ~ c2_1(a830) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1011,plain,
    ( spl0_11
    | ~ spl0_6
    | spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f216,f451,f313,f277,f298]) ).

fof(f298,plain,
    ( spl0_11
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f277,plain,
    ( spl0_6
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f216,plain,
    ! [X31,X30] :
      ( ~ c3_1(X31)
      | ~ c0_1(X30)
      | c2_1(X30)
      | c1_1(X30)
      | ~ c0_1(X31)
      | ~ ndr1_0
      | c2_1(X31)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X31,X30] :
      ( ~ ndr1_0
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c2_1(X30)
      | ~ c3_1(X31)
      | c2_1(X31)
      | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1009,plain,
    ( ~ spl0_39
    | spl0_150 ),
    inference(avatar_split_clause,[],[f51,f1006,f418]) ).

fof(f418,plain,
    ( spl0_39
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f51,plain,
    ( c0_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1004,plain,
    ( spl0_29
    | ~ spl0_6
    | spl0_149
    | spl0_19 ),
    inference(avatar_split_clause,[],[f47,f330,f1002,f277,f376]) ).

fof(f376,plain,
    ( spl0_29
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f330,plain,
    ( spl0_19
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f47,plain,
    ! [X90] :
      ( hskp28
      | c1_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | hskp7
      | c3_1(X90) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1000,plain,
    ( ~ spl0_13
    | spl0_148 ),
    inference(avatar_split_clause,[],[f86,f997,f305]) ).

fof(f305,plain,
    ( spl0_13
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f86,plain,
    ( c2_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f994,plain,
    ( ~ spl0_13
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f83,f991,f305]) ).

fof(f83,plain,
    ( ~ c0_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f989,plain,
    ( spl0_146
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f25,f631,f986]) ).

fof(f631,plain,
    ( spl0_83
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f25,plain,
    ( ~ hskp25
    | c2_1(a890) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f984,plain,
    ( spl0_24
    | ~ spl0_6
    | spl0_15
    | spl0_39 ),
    inference(avatar_split_clause,[],[f176,f418,f313,f277,f353]) ).

fof(f353,plain,
    ( spl0_24
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f176,plain,
    ! [X29] :
      ( hskp19
      | c1_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | hskp11
      | ~ c0_1(X29) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f983,plain,
    ( spl0_94
    | ~ spl0_6
    | spl0_145
    | spl0_67 ),
    inference(avatar_split_clause,[],[f218,f551,f981,f277,f684]) ).

fof(f218,plain,
    ! [X72,X73] :
      ( hskp17
      | c3_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | c2_1(X73)
      | ~ c1_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72) ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f81,plain,
    ! [X72,X73] :
      ( ~ c1_1(X73)
      | ~ ndr1_0
      | c3_1(X73)
      | hskp17
      | ~ c2_1(X72)
      | c3_1(X72)
      | c2_1(X73)
      | ~ c1_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f979,plain,
    ( ~ spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f45,f277,f284]) ).

fof(f284,plain,
    ( spl0_8
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f45,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f978,plain,
    ( ~ spl0_6
    | spl0_24
    | spl0_36
    | spl0_4 ),
    inference(avatar_split_clause,[],[f96,f268,f407,f353,f277]) ).

fof(f96,plain,
    ! [X69] :
      ( hskp4
      | c3_1(X69)
      | c0_1(X69)
      | hskp11
      | ~ ndr1_0
      | c2_1(X69) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f977,plain,
    ( spl0_144
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f185,f514,f974]) ).

fof(f514,plain,
    ( spl0_59
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f185,plain,
    ( ~ hskp5
    | c0_1(a833) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f971,plain,
    ( spl0_143
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f139,f483,f968]) ).

fof(f483,plain,
    ( spl0_53
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f139,plain,
    ( ~ hskp18
    | c2_1(a861) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f955,plain,
    ( ~ spl0_6
    | spl0_32
    | spl0_14
    | spl0_23 ),
    inference(avatar_split_clause,[],[f177,f348,f310,f390,f277]) ).

fof(f390,plain,
    ( spl0_32
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f177,plain,
    ! [X28] :
      ( hskp16
      | c3_1(X28)
      | ~ c2_1(X28)
      | ~ c0_1(X28)
      | hskp6
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f942,plain,
    ( spl0_139
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f93,f436,f939]) ).

fof(f436,plain,
    ( spl0_43
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f93,plain,
    ( ~ hskp29
    | c0_1(a849) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f937,plain,
    ( ~ spl0_6
    | spl0_22
    | spl0_103
    | spl0_78 ),
    inference(avatar_split_clause,[],[f223,f609,f729,f344,f277]) ).

fof(f344,plain,
    ( spl0_22
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f223,plain,
    ! [X91,X92] :
      ( c3_1(X92)
      | ~ c0_1(X92)
      | ~ c1_1(X91)
      | hskp31
      | ~ c0_1(X91)
      | ~ ndr1_0
      | c2_1(X91)
      | c1_1(X92) ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f46,plain,
    ! [X91,X92] :
      ( ~ c0_1(X92)
      | c2_1(X91)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | hskp31
      | ~ ndr1_0
      | ~ c1_1(X91)
      | c3_1(X92)
      | c1_1(X92) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f936,plain,
    ( spl0_17
    | ~ spl0_6
    | spl0_50
    | spl0_88 ),
    inference(avatar_split_clause,[],[f205,f656,f467,f277,f321]) ).

fof(f467,plain,
    ( spl0_50
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f205,plain,
    ! [X16] :
      ( c3_1(X16)
      | hskp9
      | ~ ndr1_0
      | c1_1(X16)
      | hskp2
      | c2_1(X16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f931,plain,
    ( spl0_137
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f170,f298,f928]) ).

fof(f170,plain,
    ( ~ hskp3
    | c2_1(a831) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f920,plain,
    ( ~ spl0_20
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f193,f917,f335]) ).

fof(f335,plain,
    ( spl0_20
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f193,plain,
    ( ~ c3_1(a829)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f914,plain,
    ( ~ spl0_6
    | spl0_15
    | spl0_67
    | spl0_87 ),
    inference(avatar_split_clause,[],[f225,f653,f551,f313,f277]) ).

fof(f225,plain,
    ! [X12,X13] :
      ( ~ c0_1(X12)
      | hskp17
      | ~ c1_1(X12)
      | ~ c0_1(X13)
      | c1_1(X13)
      | c2_1(X13)
      | c3_1(X12)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ! [X12,X13] :
      ( c1_1(X13)
      | ~ c1_1(X12)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | c3_1(X12)
      | ~ c0_1(X13)
      | hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f907,plain,
    ( ~ spl0_50
    | spl0_133 ),
    inference(avatar_split_clause,[],[f164,f904,f467]) ).

fof(f164,plain,
    ( c1_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f902,plain,
    ( ~ spl0_6
    | spl0_4
    | spl0_76
    | spl0_38 ),
    inference(avatar_split_clause,[],[f226,f414,f599,f268,f277]) ).

fof(f226,plain,
    ! [X65,X66] :
      ( c2_1(X66)
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | hskp4
      | ~ c3_1(X65)
      | ~ ndr1_0
      | c0_1(X66)
      | c1_1(X66) ),
    inference(duplicate_literal_removal,[],[f99]) ).

fof(f99,plain,
    ! [X65,X66] :
      ( ~ ndr1_0
      | c2_1(X66)
      | c0_1(X66)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | hskp4
      | ~ c3_1(X65)
      | c1_1(X66)
      | ~ c2_1(X65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f900,plain,
    ( ~ spl0_132
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f145,f381,f897]) ).

fof(f381,plain,
    ( spl0_30
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f145,plain,
    ( ~ hskp24
    | ~ c2_1(a884) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f895,plain,
    ( ~ spl0_23
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f88,f892,f348]) ).

fof(f88,plain,
    ( ~ c0_1(a858)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f890,plain,
    ( spl0_130
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f78,f376,f887]) ).

fof(f78,plain,
    ( ~ hskp7
    | c0_1(a836) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f874,plain,
    ( ~ spl0_127
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f77,f376,f871]) ).

fof(f77,plain,
    ( ~ hskp7
    | ~ c1_1(a836) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f860,plain,
    ( ~ spl0_30
    | spl0_125 ),
    inference(avatar_split_clause,[],[f144,f857,f381]) ).

fof(f144,plain,
    ( c3_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f855,plain,
    ( ~ spl0_6
    | spl0_14
    | spl0_93
    | spl0_88 ),
    inference(avatar_split_clause,[],[f227,f656,f681,f310,f277]) ).

fof(f227,plain,
    ! [X2,X3,X4] :
      ( c2_1(X4)
      | c1_1(X2)
      | c3_1(X3)
      | c3_1(X4)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X3)
      | c1_1(X4)
      | ~ c0_1(X3) ),
    inference(duplicate_literal_removal,[],[f213]) ).

fof(f213,plain,
    ! [X2,X3,X4] :
      ( ~ c2_1(X3)
      | ~ c0_1(X3)
      | c1_1(X2)
      | ~ ndr1_0
      | c1_1(X4)
      | ~ ndr1_0
      | c3_1(X4)
      | ~ c2_1(X2)
      | c2_1(X4)
      | c3_1(X3)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f854,plain,
    ( spl0_50
    | ~ spl0_6
    | spl0_29
    | spl0_15 ),
    inference(avatar_split_clause,[],[f100,f313,f376,f277,f467]) ).

fof(f100,plain,
    ! [X64] :
      ( c1_1(X64)
      | hskp7
      | ~ ndr1_0
      | c2_1(X64)
      | hskp9
      | ~ c0_1(X64) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f853,plain,
    ( spl0_124
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f137,f483,f850]) ).

fof(f137,plain,
    ( ~ hskp18
    | c0_1(a861) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f836,plain,
    ( ~ spl0_22
    | spl0_121 ),
    inference(avatar_split_clause,[],[f73,f833,f344]) ).

fof(f73,plain,
    ( c0_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f826,plain,
    ( spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f211,f372,f330]) ).

fof(f211,plain,
    ( hskp10
    | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f825,plain,
    ( spl0_119
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f94,f436,f822]) ).

fof(f94,plain,
    ( ~ hskp29
    | c1_1(a849) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f819,plain,
    ( spl0_13
    | spl0_38
    | spl0_36
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f228,f277,f407,f414,f305]) ).

fof(f228,plain,
    ! [X38,X37] :
      ( ~ ndr1_0
      | c0_1(X37)
      | c2_1(X38)
      | c1_1(X38)
      | c2_1(X37)
      | c0_1(X38)
      | c3_1(X37)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X38,X37] :
      ( ~ ndr1_0
      | c2_1(X37)
      | c0_1(X37)
      | c2_1(X38)
      | c0_1(X38)
      | hskp0
      | c1_1(X38)
      | ~ ndr1_0
      | c3_1(X37) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f818,plain,
    ( ~ spl0_53
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f138,f815,f483]) ).

fof(f138,plain,
    ( ~ c1_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f812,plain,
    ( spl0_19
    | spl0_11
    | spl0_79
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f208,f277,f612,f298,f330]) ).

fof(f208,plain,
    ! [X11] :
      ( ~ ndr1_0
      | ~ c3_1(X11)
      | c1_1(X11)
      | hskp3
      | c2_1(X11)
      | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f811,plain,
    ( spl0_59
    | spl0_4
    | ~ spl0_6
    | spl0_38 ),
    inference(avatar_split_clause,[],[f134,f414,f277,f268,f514]) ).

fof(f134,plain,
    ! [X54] :
      ( c0_1(X54)
      | ~ ndr1_0
      | hskp4
      | hskp5
      | c1_1(X54)
      | c2_1(X54) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f806,plain,
    ( spl0_116
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f92,f436,f803]) ).

fof(f92,plain,
    ( ~ hskp29
    | c2_1(a849) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f801,plain,
    ( spl0_76
    | spl0_33
    | ~ spl0_6
    | spl0_59 ),
    inference(avatar_split_clause,[],[f229,f514,f277,f394,f599]) ).

fof(f229,plain,
    ! [X80,X79] :
      ( hskp5
      | ~ ndr1_0
      | c1_1(X79)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | c0_1(X79)
      | ~ c3_1(X80)
      | c3_1(X79) ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f56,plain,
    ! [X80,X79] :
      ( ~ ndr1_0
      | c1_1(X79)
      | ~ c2_1(X80)
      | c3_1(X79)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | c0_1(X79)
      | hskp5
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f795,plain,
    ( ~ spl0_114
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f166,f467,f792]) ).

fof(f166,plain,
    ( ~ hskp9
    | ~ c2_1(a841) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f784,plain,
    ( spl0_67
    | ~ spl0_6
    | spl0_37
    | spl0_79 ),
    inference(avatar_split_clause,[],[f230,f612,f411,f277,f551]) ).

fof(f230,plain,
    ! [X21,X22] :
      ( ~ c3_1(X22)
      | c2_1(X21)
      | c2_1(X22)
      | ~ c1_1(X21)
      | ~ ndr1_0
      | hskp17
      | ~ c3_1(X21)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X21,X22] :
      ( ~ c3_1(X21)
      | ~ c3_1(X22)
      | c2_1(X22)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | hskp17
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f783,plain,
    ( ~ spl0_13
    | spl0_112 ),
    inference(avatar_split_clause,[],[f85,f780,f305]) ).

fof(f85,plain,
    ( c1_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f778,plain,
    ( spl0_111
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f109,f330,f775]) ).

fof(f109,plain,
    ( ~ hskp28
    | c0_1(a839) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f772,plain,
    ( ~ spl0_6
    | spl0_29
    | spl0_37
    | spl0_33 ),
    inference(avatar_split_clause,[],[f231,f394,f411,f376,f277]) ).

fof(f231,plain,
    ! [X10,X9] :
      ( c3_1(X10)
      | ~ c1_1(X9)
      | c0_1(X10)
      | c1_1(X10)
      | hskp7
      | c2_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,plain,
    ! [X10,X9] :
      ( hskp7
      | c1_1(X10)
      | ~ c1_1(X9)
      | ~ c3_1(X9)
      | c2_1(X9)
      | c0_1(X10)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X10) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f771,plain,
    ( ~ spl0_17
    | spl0_110 ),
    inference(avatar_split_clause,[],[f62,f768,f321]) ).

fof(f62,plain,
    ( c0_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f759,plain,
    ( spl0_108
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f10,f427,f756]) ).

fof(f427,plain,
    ( spl0_41
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f10,plain,
    ( ~ hskp30
    | c3_1(a857) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f753,plain,
    ( spl0_107
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f130,f353,f750]) ).

fof(f130,plain,
    ( ~ hskp11
    | c3_1(a844) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f748,plain,
    ( ~ spl0_106
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f26,f631,f745]) ).

fof(f26,plain,
    ( ~ hskp25
    | ~ c0_1(a890) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f738,plain,
    ( ~ spl0_6
    | spl0_20
    | spl0_34
    | spl0_7 ),
    inference(avatar_split_clause,[],[f32,f281,f399,f335,f277]) ).

fof(f399,plain,
    ( spl0_34
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f32,plain,
    ! [X98] :
      ( ~ c3_1(X98)
      | c1_1(X98)
      | hskp13
      | hskp1
      | ~ ndr1_0
      | ~ c0_1(X98) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f736,plain,
    ( ~ spl0_104
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f90,f348,f733]) ).

fof(f90,plain,
    ( ~ hskp16
    | ~ c1_1(a858) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f723,plain,
    ( spl0_101
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f108,f330,f720]) ).

fof(f108,plain,
    ( ~ hskp28
    | c3_1(a839) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f713,plain,
    ( ~ spl0_6
    | spl0_41
    | spl0_44
    | spl0_7 ),
    inference(avatar_split_clause,[],[f234,f281,f440,f427,f277]) ).

fof(f234,plain,
    ! [X24,X23] :
      ( ~ c0_1(X23)
      | ~ c2_1(X24)
      | hskp30
      | ~ c3_1(X23)
      | c1_1(X23)
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X24,X23] :
      ( ~ ndr1_0
      | ~ c3_1(X23)
      | ~ c1_1(X24)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f706,plain,
    ( spl0_30
    | ~ spl0_6
    | spl0_78
    | spl0_79 ),
    inference(avatar_split_clause,[],[f235,f612,f609,f277,f381]) ).

fof(f235,plain,
    ! [X102,X103] :
      ( c1_1(X103)
      | ~ c0_1(X102)
      | c2_1(X103)
      | ~ ndr1_0
      | c1_1(X102)
      | ~ c3_1(X103)
      | c3_1(X102)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ! [X102,X103] :
      ( ~ ndr1_0
      | c2_1(X103)
      | c1_1(X102)
      | ~ ndr1_0
      | c1_1(X103)
      | c3_1(X102)
      | ~ c3_1(X103)
      | hskp24
      | ~ c0_1(X102) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f686,plain,
    ( spl0_19
    | spl0_93
    | spl0_94
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f236,f277,f684,f681,f330]) ).

fof(f236,plain,
    ! [X36,X35] :
      ( ~ ndr1_0
      | c3_1(X36)
      | ~ c2_1(X36)
      | c1_1(X35)
      | ~ c1_1(X36)
      | ~ c0_1(X35)
      | ~ c2_1(X35)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X36,X35] :
      ( ~ c2_1(X35)
      | c1_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | c3_1(X36)
      | ~ c2_1(X36)
      | hskp28
      | ~ ndr1_0
      | ~ c1_1(X36) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f679,plain,
    ( ~ spl0_59
    | spl0_92 ),
    inference(avatar_split_clause,[],[f182,f676,f514]) ).

fof(f182,plain,
    ( c2_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f674,plain,
    ( spl0_4
    | ~ spl0_6
    | spl0_14
    | spl0_86 ),
    inference(avatar_split_clause,[],[f237,f648,f310,f277,f268]) ).

fof(f237,plain,
    ! [X34,X33] :
      ( ~ c3_1(X33)
      | c2_1(X33)
      | c3_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | hskp4
      | c0_1(X33)
      | ~ c2_1(X34) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X34,X33] :
      ( ~ c3_1(X33)
      | ~ c2_1(X34)
      | c3_1(X34)
      | c0_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c2_1(X33)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f668,plain,
    ( ~ spl0_11
    | spl0_90 ),
    inference(avatar_split_clause,[],[f167,f665,f298]) ).

fof(f167,plain,
    ( c3_1(a831)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f663,plain,
    ( ~ spl0_6
    | spl0_20
    | spl0_83
    | spl0_48 ),
    inference(avatar_split_clause,[],[f41,f459,f631,f335,f277]) ).

fof(f41,plain,
    ! [X93] :
      ( ~ c1_1(X93)
      | hskp25
      | ~ c0_1(X93)
      | ~ c3_1(X93)
      | hskp1
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f662,plain,
    ( ~ spl0_6
    | spl0_37
    | spl0_12
    | spl0_89 ),
    inference(avatar_split_clause,[],[f238,f660,f302,f411,f277]) ).

fof(f238,plain,
    ! [X44,X42,X43] :
      ( ~ c3_1(X43)
      | ~ c0_1(X44)
      | c0_1(X43)
      | ~ c1_1(X43)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | c2_1(X44)
      | c2_1(X42)
      | ~ c3_1(X42)
      | c3_1(X44) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X44,X42,X43] :
      ( ~ c1_1(X42)
      | c0_1(X43)
      | c2_1(X44)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c3_1(X44)
      | c2_1(X42)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X42) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f658,plain,
    ( spl0_87
    | ~ spl0_6
    | spl0_43
    | spl0_88 ),
    inference(avatar_split_clause,[],[f239,f656,f436,f277,f653]) ).

fof(f239,plain,
    ! [X48,X49] :
      ( c1_1(X48)
      | hskp29
      | ~ ndr1_0
      | ~ c0_1(X49)
      | c3_1(X49)
      | c3_1(X48)
      | c2_1(X48)
      | ~ c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X48,X49] :
      ( c3_1(X49)
      | c3_1(X48)
      | c1_1(X48)
      | ~ c0_1(X49)
      | c2_1(X48)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp29
      | ~ c1_1(X49) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f650,plain,
    ( spl0_17
    | spl0_86
    | ~ spl0_6
    | spl0_44 ),
    inference(avatar_split_clause,[],[f240,f440,f277,f648,f321]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | hskp2
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( hskp2
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f646,plain,
    ( ~ spl0_22
    | spl0_85 ),
    inference(avatar_split_clause,[],[f75,f643,f344]) ).

fof(f75,plain,
    ( c3_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f641,plain,
    ( ~ spl0_84
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f183,f514,f638]) ).

fof(f183,plain,
    ( ~ hskp5
    | ~ c3_1(a833) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f636,plain,
    ( spl0_20
    | ~ spl0_6
    | spl0_79
    | spl0_38 ),
    inference(avatar_split_clause,[],[f241,f414,f612,f277,f335]) ).

fof(f241,plain,
    ! [X46,X45] :
      ( c1_1(X46)
      | c2_1(X45)
      | c1_1(X45)
      | c2_1(X46)
      | c0_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X46,X45] :
      ( c0_1(X46)
      | ~ ndr1_0
      | c2_1(X45)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c3_1(X45)
      | hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f634,plain,
    ( ~ spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f27,f631,f627]) ).

fof(f27,plain,
    ( ~ hskp25
    | ~ c3_1(a890) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f620,plain,
    ( ~ spl0_32
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f172,f617,f390]) ).

fof(f172,plain,
    ( ~ c2_1(a835)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f615,plain,
    ( ~ spl0_6
    | spl0_53
    | spl0_46
    | spl0_63 ),
    inference(avatar_split_clause,[],[f243,f532,f451,f483,f277]) ).

fof(f243,plain,
    ! [X14,X15] :
      ( ~ c3_1(X14)
      | ~ c3_1(X15)
      | ~ c2_1(X14)
      | ~ c1_1(X14)
      | c2_1(X15)
      | hskp18
      | ~ ndr1_0
      | ~ c0_1(X15) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,plain,
    ! [X14,X15] :
      ( c2_1(X15)
      | hskp18
      | ~ c2_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c1_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | ~ c3_1(X14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f614,plain,
    ( spl0_34
    | spl0_78
    | spl0_79
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f244,f277,f612,f609,f399]) ).

fof(f244,plain,
    ! [X50,X51] :
      ( ~ ndr1_0
      | c2_1(X51)
      | ~ c3_1(X51)
      | c1_1(X51)
      | ~ c0_1(X50)
      | c1_1(X50)
      | c3_1(X50)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X50,X51] :
      ( c3_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | ~ c3_1(X51)
      | c2_1(X51)
      | c1_1(X50)
      | hskp13
      | ~ c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f607,plain,
    ( spl0_77
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f110,f330,f604]) ).

fof(f110,plain,
    ( ~ hskp28
    | c1_1(a839) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f587,plain,
    ( ~ spl0_73
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f191,f335,f584]) ).

fof(f191,plain,
    ( ~ hskp1
    | ~ c1_1(a829) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f582,plain,
    ( spl0_72
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f11,f427,f579]) ).

fof(f11,plain,
    ( ~ hskp30
    | c1_1(a857) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f576,plain,
    ( spl0_71
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f113,f551,f573]) ).

fof(f113,plain,
    ( ~ hskp17
    | c0_1(a859) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f570,plain,
    ( ~ spl0_70
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f115,f551,f567]) ).

fof(f115,plain,
    ( ~ hskp17
    | ~ c1_1(a859) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f564,plain,
    ( ~ spl0_32
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f174,f561,f390]) ).

fof(f174,plain,
    ( ~ c0_1(a835)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f559,plain,
    ( ~ spl0_24
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f132,f556,f353]) ).

fof(f132,plain,
    ( ~ c1_1(a844)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f554,plain,
    ( spl0_23
    | spl0_67
    | spl0_17 ),
    inference(avatar_split_clause,[],[f158,f321,f551,f348]) ).

fof(f158,plain,
    ( hskp2
    | hskp17
    | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f548,plain,
    ( ~ spl0_34
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f156,f545,f399]) ).

fof(f156,plain,
    ( ~ c2_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f543,plain,
    ( ~ spl0_6
    | spl0_59
    | spl0_7
    | spl0_65 ),
    inference(avatar_split_clause,[],[f246,f541,f281,f514,f277]) ).

fof(f246,plain,
    ! [X6,X5] :
      ( ~ c3_1(X6)
      | c0_1(X6)
      | ~ c2_1(X6)
      | ~ c3_1(X5)
      | hskp5
      | ~ c0_1(X5)
      | ~ ndr1_0
      | c1_1(X5) ),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f212,plain,
    ! [X6,X5] :
      ( c0_1(X6)
      | ~ ndr1_0
      | ~ c0_1(X5)
      | c1_1(X5)
      | ~ ndr1_0
      | hskp5
      | ~ c3_1(X6)
      | ~ c3_1(X5)
      | ~ c2_1(X6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f539,plain,
    ( ~ spl0_34
    | spl0_64 ),
    inference(avatar_split_clause,[],[f153,f536,f399]) ).

fof(f153,plain,
    ( c3_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f534,plain,
    ( spl0_62
    | ~ spl0_6
    | spl0_12
    | spl0_63 ),
    inference(avatar_split_clause,[],[f247,f532,f302,f277,f529]) ).

fof(f247,plain,
    ! [X101,X99,X100] :
      ( ~ c1_1(X101)
      | c2_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X100)
      | c0_1(X99)
      | ~ c2_1(X101)
      | ~ c3_1(X101)
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | c3_1(X100) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X101,X99,X100] :
      ( ~ c2_1(X101)
      | ~ c1_1(X101)
      | c0_1(X99)
      | c2_1(X100)
      | ~ c3_1(X101)
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f527,plain,
    ( ~ spl0_28
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f69,f524,f372]) ).

fof(f69,plain,
    ( ~ c0_1(a843)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f521,plain,
    ( spl0_24
    | spl0_44
    | ~ spl0_6
    | spl0_36 ),
    inference(avatar_split_clause,[],[f248,f407,f277,f440,f353]) ).

fof(f248,plain,
    ! [X106,X105] :
      ( c0_1(X105)
      | ~ ndr1_0
      | ~ c0_1(X106)
      | c2_1(X105)
      | ~ c2_1(X106)
      | ~ c1_1(X106)
      | c3_1(X105)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,plain,
    ! [X106,X105] :
      ( c2_1(X105)
      | ~ c0_1(X106)
      | ~ ndr1_0
      | hskp11
      | c0_1(X105)
      | c3_1(X105)
      | ~ c2_1(X106)
      | ~ c1_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f512,plain,
    ( ~ spl0_29
    | spl0_58 ),
    inference(avatar_split_clause,[],[f79,f509,f376]) ).

fof(f79,plain,
    ( c3_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f506,plain,
    ( ~ spl0_32
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f175,f503,f390]) ).

fof(f175,plain,
    ( ~ c3_1(a835)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f496,plain,
    ( ~ spl0_28
    | spl0_55 ),
    inference(avatar_split_clause,[],[f67,f493,f372]) ).

fof(f67,plain,
    ( c1_1(a843)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f481,plain,
    ( ~ spl0_34
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f154,f478,f399]) ).

fof(f154,plain,
    ( ~ c0_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f476,plain,
    ( spl0_6
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f89,f348,f277]) ).

fof(f89,plain,
    ( ~ hskp16
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f475,plain,
    ( ~ spl0_51
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f131,f353,f472]) ).

fof(f131,plain,
    ( ~ hskp11
    | ~ c2_1(a844) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f470,plain,
    ( spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f163,f467,f463]) ).

fof(f163,plain,
    ( ~ hskp9
    | c0_1(a841) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f461,plain,
    ( spl0_24
    | spl0_47
    | spl0_48
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f249,f277,f459,f456,f353]) ).

fof(f249,plain,
    ! [X26,X25] :
      ( ~ ndr1_0
      | ~ c0_1(X26)
      | c0_1(X25)
      | hskp11
      | ~ c1_1(X26)
      | c3_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X26) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X26,X25] :
      ( ~ ndr1_0
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c3_1(X25)
      | ~ c1_1(X26)
      | ~ c0_1(X26)
      | hskp11
      | c0_1(X25)
      | ~ c2_1(X25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f448,plain,
    ( ~ spl0_22
    | spl0_6 ),
    inference(avatar_split_clause,[],[f72,f277,f344]) ).

fof(f72,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f447,plain,
    ( ~ spl0_4
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f106,f444,f268]) ).

fof(f106,plain,
    ( ~ c2_1(a832)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f434,plain,
    ( ~ spl0_41
    | spl0_42 ),
    inference(avatar_split_clause,[],[f9,f431,f427]) ).

fof(f9,plain,
    ( c2_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f425,plain,
    ( ~ spl0_39
    | spl0_40 ),
    inference(avatar_split_clause,[],[f53,f422,f418]) ).

fof(f53,plain,
    ( c3_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f416,plain,
    ( ~ spl0_6
    | spl0_37
    | spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f251,f414,f321,f411,f277]) ).

fof(f251,plain,
    ! [X82,X81] :
      ( c0_1(X82)
      | hskp2
      | c2_1(X81)
      | c2_1(X82)
      | c1_1(X82)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X81) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f55,plain,
    ! [X82,X81] :
      ( c0_1(X82)
      | hskp2
      | c2_1(X81)
      | c1_1(X82)
      | ~ c3_1(X81)
      | c2_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f388,plain,
    ( ~ spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f142,f385,f381]) ).

fof(f142,plain,
    ( c1_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f356,plain,
    ( spl0_13
    | spl0_24
    | spl0_20 ),
    inference(avatar_split_clause,[],[f120,f335,f353,f305]) ).

fof(f120,plain,
    ( hskp1
    | hskp11
    | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f351,plain,
    ( spl0_8
    | spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f121,f348,f344,f284]) ).

fof(f121,plain,
    ( hskp16
    | hskp31
    | hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f342,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f192,f339,f335]) ).

fof(f192,plain,
    ( ~ c0_1(a829)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f328,plain,
    ( ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f65,f325,f321]) ).

fof(f65,plain,
    ( ~ c1_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f271,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f105,f268,f264]) ).

fof(f105,plain,
    ( ~ hskp4
    | ~ c3_1(a832) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN512+1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:02:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (15438)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)
% 1.31/0.53  % (15420)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.53  % (15417)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)
% 1.31/0.53  % (15430)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)
% 1.31/0.53  % (15422)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)
% 1.31/0.53  % (15418)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)
% 1.31/0.53  % (15445)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)
% 1.31/0.53  % (15429)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.31/0.53  % (15437)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.31/0.54  % (15434)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.54  % (15435)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)
% 1.31/0.54  % (15421)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)
% 1.31/0.54  % (15419)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)
% 1.31/0.54  % (15416)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)
% 1.31/0.54  % (15424)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.54  % (15424)Instruction limit reached!
% 1.31/0.54  % (15424)------------------------------
% 1.31/0.54  % (15424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (15424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (15424)Termination reason: Unknown
% 1.31/0.54  % (15424)Termination phase: shuffling
% 1.31/0.54  
% 1.31/0.54  % (15424)Memory used [KB]: 1023
% 1.31/0.54  % (15424)Time elapsed: 0.003 s
% 1.31/0.54  % (15424)Instructions burned: 2 (million)
% 1.31/0.54  % (15424)------------------------------
% 1.31/0.54  % (15424)------------------------------
% 1.31/0.54  % (15436)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)
% 1.47/0.55  % (15427)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)
% 1.47/0.55  % (15443)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)
% 1.47/0.55  % (15428)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.47/0.55  % (15426)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.55  % (15442)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)
% 1.47/0.55  % (15432)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)
% 1.47/0.55  % (15440)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.55  % (15444)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.55  % (15425)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)
% 1.47/0.56  Detected maximum model sizes of [32]
% 1.47/0.56  % (15439)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)
% 1.47/0.56  % (15433)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.47/0.56  % (15431)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)
% 1.47/0.57  % (15423)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.57  TRYING [1]
% 1.47/0.57  TRYING [2]
% 1.47/0.57  % (15441)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.57  TRYING [3]
% 1.47/0.57  TRYING [4]
% 1.47/0.57  Detected maximum model sizes of [32]
% 1.47/0.57  TRYING [1]
% 1.47/0.57  TRYING [2]
% 1.47/0.58  TRYING [3]
% 1.47/0.58  % (15423)Instruction limit reached!
% 1.47/0.58  % (15423)------------------------------
% 1.47/0.58  % (15423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (15423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (15423)Termination reason: Unknown
% 1.47/0.58  % (15423)Termination phase: Saturation
% 1.47/0.58  
% 1.47/0.58  % (15423)Memory used [KB]: 6012
% 1.47/0.58  % (15423)Time elapsed: 0.012 s
% 1.47/0.58  % (15423)Instructions burned: 7 (million)
% 1.47/0.58  % (15423)------------------------------
% 1.47/0.58  % (15423)------------------------------
% 1.47/0.59  Detected maximum model sizes of [32]
% 1.47/0.59  TRYING [1]
% 1.47/0.59  TRYING [2]
% 1.47/0.59  TRYING [3]
% 1.47/0.60  TRYING [4]
% 1.47/0.60  TRYING [5]
% 1.47/0.60  % (15422)Instruction limit reached!
% 1.47/0.60  % (15422)------------------------------
% 1.47/0.60  % (15422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60  % (15422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60  % (15422)Termination reason: Unknown
% 1.47/0.60  % (15422)Termination phase: Finite model building SAT solving
% 1.47/0.60  
% 1.47/0.60  % (15422)Memory used [KB]: 6524
% 1.47/0.60  % (15422)Time elapsed: 0.176 s
% 1.47/0.60  % (15422)Instructions burned: 52 (million)
% 1.47/0.60  % (15422)------------------------------
% 1.47/0.60  % (15422)------------------------------
% 1.47/0.60  % (15445)First to succeed.
% 1.47/0.61  TRYING [5]
% 1.47/0.61  % (15418)Instruction limit reached!
% 1.47/0.61  % (15418)------------------------------
% 1.47/0.61  % (15418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (15418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (15418)Termination reason: Unknown
% 1.47/0.61  % (15418)Termination phase: Saturation
% 1.47/0.61  
% 1.47/0.61  % (15418)Memory used [KB]: 1535
% 1.47/0.61  % (15418)Time elapsed: 0.185 s
% 1.47/0.61  % (15418)Instructions burned: 37 (million)
% 1.47/0.61  % (15418)------------------------------
% 1.47/0.61  % (15418)------------------------------
% 1.47/0.61  % (15417)Instruction limit reached!
% 1.47/0.61  % (15417)------------------------------
% 1.47/0.61  % (15417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (15417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (15417)Termination reason: Unknown
% 1.47/0.61  % (15417)Termination phase: Saturation
% 1.47/0.61  
% 1.47/0.61  % (15417)Memory used [KB]: 6780
% 1.47/0.61  % (15417)Time elapsed: 0.200 s
% 1.47/0.61  % (15417)Instructions burned: 51 (million)
% 1.47/0.61  % (15417)------------------------------
% 1.47/0.61  % (15417)------------------------------
% 1.47/0.61  TRYING [4]
% 1.47/0.62  % (15421)Instruction limit reached!
% 1.47/0.62  % (15421)------------------------------
% 1.47/0.62  % (15421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62  % (15421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62  % (15421)Termination reason: Unknown
% 1.47/0.62  % (15421)Termination phase: Saturation
% 1.47/0.62  
% 1.47/0.62  % (15421)Memory used [KB]: 7164
% 1.47/0.62  % (15421)Time elapsed: 0.213 s
% 1.47/0.62  % (15421)Instructions burned: 49 (million)
% 1.47/0.62  % (15421)------------------------------
% 1.47/0.62  % (15421)------------------------------
% 1.47/0.63  % (15420)Instruction limit reached!
% 1.47/0.63  % (15420)------------------------------
% 1.47/0.63  % (15420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.63  % (15420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.63  % (15420)Termination reason: Unknown
% 1.47/0.63  % (15420)Termination phase: Saturation
% 1.47/0.63  
% 1.47/0.63  % (15420)Memory used [KB]: 6908
% 1.47/0.63  % (15420)Time elapsed: 0.224 s
% 1.47/0.63  % (15420)Instructions burned: 51 (million)
% 1.47/0.63  % (15420)------------------------------
% 1.47/0.63  % (15420)------------------------------
% 2.11/0.64  % (15445)Refutation found. Thanks to Tanya!
% 2.11/0.64  % SZS status Theorem for theBenchmark
% 2.11/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.64  % (15445)------------------------------
% 2.11/0.64  % (15445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (15445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (15445)Termination reason: Refutation
% 2.11/0.64  
% 2.11/0.64  % (15445)Memory used [KB]: 7164
% 2.11/0.64  % (15445)Time elapsed: 0.212 s
% 2.11/0.64  % (15445)Instructions burned: 32 (million)
% 2.11/0.64  % (15445)------------------------------
% 2.11/0.64  % (15445)------------------------------
% 2.11/0.64  % (15415)Success in time 0.279 s
%------------------------------------------------------------------------------