TSTP Solution File: SYN455+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN455+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_uns --cores 0 -t %d %s

% Computer : n026.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 19:26:52 EDT 2022

% Result   : Theorem 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  119
% Syntax   : Number of formulae    :  475 (   1 unt;   0 def)
%            Number of atoms       : 5736 (   0 equ)
%            Maximal formula atoms :  603 (  12 avg)
%            Number of connectives : 7746 (2485   ~;3502   |;1281   &)
%                                         ( 118 <=>; 360  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  100 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  155 ( 154 usr; 151 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  750 ( 750   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2113,plain,
    $false,
    inference(avatar_sat_refutation,[],[f232,f250,f259,f270,f279,f297,f306,f310,f324,f333,f338,f352,f373,f383,f392,f397,f402,f420,f425,f453,f458,f468,f473,f482,f497,f505,f514,f523,f532,f545,f546,f552,f562,f572,f577,f581,f597,f604,f614,f619,f638,f645,f650,f656,f661,f663,f668,f678,f690,f695,f700,f705,f710,f715,f720,f726,f732,f733,f761,f766,f776,f777,f778,f792,f797,f798,f799,f806,f818,f828,f837,f842,f862,f867,f872,f877,f883,f888,f894,f900,f905,f910,f916,f928,f933,f939,f945,f951,f957,f968,f973,f987,f1025,f1148,f1157,f1231,f1246,f1265,f1280,f1321,f1360,f1380,f1383,f1410,f1442,f1514,f1535,f1536,f1538,f1562,f1565,f1632,f1637,f1671,f1700,f1703,f1756,f1763,f1778,f1781,f1825,f1838,f1845,f1860,f1877,f1886,f1941,f1946,f1956,f1964,f1995,f2024,f2026,f2029,f2058,f2086,f2087,f2103,f2106,f2107,f2112]) ).

fof(f2112,plain,
    ( spl0_107
    | ~ spl0_160
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2094,f635,f308,f1031,f717]) ).

fof(f717,plain,
    ( spl0_107
  <=> c2_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1031,plain,
    ( spl0_160
  <=> c1_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f308,plain,
    ( spl0_22
  <=> ! [X69] :
        ( ~ c1_1(X69)
        | ~ c3_1(X69)
        | c2_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f635,plain,
    ( spl0_91
  <=> c3_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2094,plain,
    ( ~ c1_1(a914)
    | c2_1(a914)
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(resolution,[],[f309,f637]) ).

fof(f637,plain,
    ( c3_1(a914)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f309,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | c2_1(X69)
        | ~ c1_1(X69) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f2107,plain,
    ( ~ spl0_104
    | spl0_135
    | ~ spl0_22
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2093,f1205,f308,f874,f702]) ).

fof(f702,plain,
    ( spl0_104
  <=> c1_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f874,plain,
    ( spl0_135
  <=> c2_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1205,plain,
    ( spl0_168
  <=> c3_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2093,plain,
    ( c2_1(a907)
    | ~ c1_1(a907)
    | ~ spl0_22
    | ~ spl0_168 ),
    inference(resolution,[],[f309,f1207]) ).

fof(f1207,plain,
    ( c3_1(a907)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f2106,plain,
    ( spl0_145
    | ~ spl0_101
    | ~ spl0_22
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2095,f616,f308,f687,f930]) ).

fof(f930,plain,
    ( spl0_145
  <=> c2_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f687,plain,
    ( spl0_101
  <=> c1_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f616,plain,
    ( spl0_87
  <=> c3_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2095,plain,
    ( ~ c1_1(a917)
    | c2_1(a917)
    | ~ spl0_22
    | ~ spl0_87 ),
    inference(resolution,[],[f309,f618]) ).

fof(f618,plain,
    ( c3_1(a917)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f2103,plain,
    ( ~ spl0_46
    | spl0_169
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2100,f697,f308,f1240,f413]) ).

fof(f413,plain,
    ( spl0_46
  <=> c1_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1240,plain,
    ( spl0_169
  <=> c2_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f697,plain,
    ( spl0_103
  <=> c3_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2100,plain,
    ( c2_1(a916)
    | ~ c1_1(a916)
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(resolution,[],[f309,f699]) ).

fof(f699,plain,
    ( c3_1(a916)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f2087,plain,
    ( spl0_158
    | spl0_79
    | ~ spl0_13
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2066,f970,f268,f574,f1013]) ).

fof(f1013,plain,
    ( spl0_158
  <=> c1_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f574,plain,
    ( spl0_79
  <=> c0_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f268,plain,
    ( spl0_13
  <=> ! [X34] :
        ( c0_1(X34)
        | c1_1(X34)
        | ~ c3_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f970,plain,
    ( spl0_152
  <=> c3_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2066,plain,
    ( c0_1(a905)
    | c1_1(a905)
    | ~ spl0_13
    | ~ spl0_152 ),
    inference(resolution,[],[f269,f972]) ).

fof(f972,plain,
    ( c3_1(a905)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f269,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | c0_1(X34)
        | c1_1(X34) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f2086,plain,
    ( spl0_105
    | spl0_41
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f2070,f455,f268,f389,f707]) ).

fof(f707,plain,
    ( spl0_105
  <=> c0_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f389,plain,
    ( spl0_41
  <=> c1_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f455,plain,
    ( spl0_55
  <=> c3_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2070,plain,
    ( c1_1(a923)
    | c0_1(a923)
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(resolution,[],[f269,f457]) ).

fof(f457,plain,
    ( c3_1(a923)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f2058,plain,
    ( spl0_114
    | spl0_106
    | ~ spl0_3
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2055,f859,f227,f712,f758]) ).

fof(f758,plain,
    ( spl0_114
  <=> c0_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f712,plain,
    ( spl0_106
  <=> c3_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f227,plain,
    ( spl0_3
  <=> ! [X63] :
        ( c0_1(X63)
        | c3_1(X63)
        | c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f859,plain,
    ( spl0_132
  <=> c2_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2055,plain,
    ( c3_1(a946)
    | c0_1(a946)
    | ~ spl0_3
    | spl0_132 ),
    inference(resolution,[],[f228,f861]) ).

fof(f861,plain,
    ( ~ c2_1(a946)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f228,plain,
    ( ! [X63] :
        ( c2_1(X63)
        | c3_1(X63)
        | c0_1(X63) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f2029,plain,
    ( spl0_165
    | spl0_97
    | ~ spl0_68
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2013,f942,f521,f665,f1154]) ).

fof(f1154,plain,
    ( spl0_165
  <=> c0_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f665,plain,
    ( spl0_97
  <=> c3_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f521,plain,
    ( spl0_68
  <=> ! [X44] :
        ( c3_1(X44)
        | c0_1(X44)
        | ~ c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f942,plain,
    ( spl0_147
  <=> c2_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2013,plain,
    ( c3_1(a926)
    | c0_1(a926)
    | ~ spl0_68
    | ~ spl0_147 ),
    inference(resolution,[],[f522,f944]) ).

fof(f944,plain,
    ( c2_1(a926)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f522,plain,
    ( ! [X44] :
        ( ~ c2_1(X44)
        | c3_1(X44)
        | c0_1(X44) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f2026,plain,
    ( spl0_15
    | spl0_76
    | ~ spl0_68
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2011,f729,f521,f559,f276]) ).

fof(f276,plain,
    ( spl0_15
  <=> c0_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f559,plain,
    ( spl0_76
  <=> c3_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f729,plain,
    ( spl0_109
  <=> c2_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2011,plain,
    ( c3_1(a921)
    | c0_1(a921)
    | ~ spl0_68
    | ~ spl0_109 ),
    inference(resolution,[],[f522,f731]) ).

fof(f731,plain,
    ( c2_1(a921)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f2024,plain,
    ( spl0_180
    | spl0_48
    | ~ spl0_68
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2012,f913,f521,f422,f1912]) ).

fof(f1912,plain,
    ( spl0_180
  <=> c3_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f422,plain,
    ( spl0_48
  <=> c0_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f913,plain,
    ( spl0_142
  <=> c2_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2012,plain,
    ( c0_1(a924)
    | c3_1(a924)
    | ~ spl0_68
    | ~ spl0_142 ),
    inference(resolution,[],[f522,f915]) ).

fof(f915,plain,
    ( c2_1(a924)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f1995,plain,
    ( spl0_48
    | ~ spl0_180
    | ~ spl0_61
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1984,f913,f484,f1912,f422]) ).

fof(f484,plain,
    ( spl0_61
  <=> ! [X37] :
        ( ~ c3_1(X37)
        | ~ c2_1(X37)
        | c0_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1984,plain,
    ( ~ c3_1(a924)
    | c0_1(a924)
    | ~ spl0_61
    | ~ spl0_142 ),
    inference(resolution,[],[f485,f915]) ).

fof(f485,plain,
    ( ! [X37] :
        ( ~ c2_1(X37)
        | c0_1(X37)
        | ~ c3_1(X37) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f1964,plain,
    ( spl0_170
    | ~ spl0_138
    | ~ spl0_4
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1963,f594,f230,f891,f1255]) ).

fof(f1255,plain,
    ( spl0_170
  <=> c0_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f891,plain,
    ( spl0_138
  <=> c1_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f230,plain,
    ( spl0_4
  <=> ! [X64] :
        ( c0_1(X64)
        | ~ c3_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f594,plain,
    ( spl0_83
  <=> c3_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1963,plain,
    ( ~ c1_1(a900)
    | c0_1(a900)
    | ~ spl0_4
    | ~ spl0_83 ),
    inference(resolution,[],[f596,f231]) ).

fof(f231,plain,
    ( ! [X64] :
        ( ~ c3_1(X64)
        | c0_1(X64)
        | ~ c1_1(X64) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f596,plain,
    ( c3_1(a900)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1956,plain,
    ( spl0_107
    | spl0_160
    | ~ spl0_8
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1953,f579,f247,f1031,f717]) ).

fof(f247,plain,
    ( spl0_8
  <=> c0_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f579,plain,
    ( spl0_80
  <=> ! [X41] :
        ( c1_1(X41)
        | c2_1(X41)
        | ~ c0_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1953,plain,
    ( c1_1(a914)
    | c2_1(a914)
    | ~ spl0_8
    | ~ spl0_80 ),
    inference(resolution,[],[f249,f580]) ).

fof(f580,plain,
    ( ! [X41] :
        ( ~ c0_1(X41)
        | c2_1(X41)
        | c1_1(X41) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f249,plain,
    ( c0_1(a914)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f1946,plain,
    ( spl0_155
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1935,f640,f370,f326,f996]) ).

fof(f996,plain,
    ( spl0_155
  <=> c3_1(a942) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f326,plain,
    ( spl0_26
  <=> c1_1(a942) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f370,plain,
    ( spl0_36
  <=> c2_1(a942) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f640,plain,
    ( spl0_92
  <=> ! [X47] :
        ( c3_1(X47)
        | ~ c2_1(X47)
        | ~ c1_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1935,plain,
    ( ~ c1_1(a942)
    | c3_1(a942)
    | ~ spl0_36
    | ~ spl0_92 ),
    inference(resolution,[],[f641,f372]) ).

fof(f372,plain,
    ( c2_1(a942)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f641,plain,
    ( ! [X47] :
        ( ~ c2_1(X47)
        | ~ c1_1(X47)
        | c3_1(X47) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f1941,plain,
    ( spl0_123
    | ~ spl0_156
    | ~ spl0_92
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1923,f789,f640,f1001,f815]) ).

fof(f815,plain,
    ( spl0_123
  <=> c3_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1001,plain,
    ( spl0_156
  <=> c1_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f789,plain,
    ( spl0_119
  <=> c2_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1923,plain,
    ( ~ c1_1(a906)
    | c3_1(a906)
    | ~ spl0_92
    | ~ spl0_119 ),
    inference(resolution,[],[f641,f791]) ).

fof(f791,plain,
    ( c2_1(a906)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f1886,plain,
    ( ~ spl0_57
    | spl0_30
    | ~ spl0_4
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1872,f907,f230,f345,f465]) ).

fof(f465,plain,
    ( spl0_57
  <=> c1_1(a954) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f345,plain,
    ( spl0_30
  <=> c0_1(a954) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f907,plain,
    ( spl0_141
  <=> c3_1(a954) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1872,plain,
    ( c0_1(a954)
    | ~ c1_1(a954)
    | ~ spl0_4
    | ~ spl0_141 ),
    inference(resolution,[],[f231,f909]) ).

fof(f909,plain,
    ( c3_1(a954)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f1877,plain,
    ( spl0_79
    | ~ spl0_158
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1865,f970,f230,f1013,f574]) ).

fof(f1865,plain,
    ( ~ c1_1(a905)
    | c0_1(a905)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f231,f972]) ).

fof(f1860,plain,
    ( spl0_120
    | spl0_128
    | ~ spl0_37
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1859,f984,f375,f839,f794]) ).

fof(f794,plain,
    ( spl0_120
  <=> c2_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f839,plain,
    ( spl0_128
  <=> c3_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f375,plain,
    ( spl0_37
  <=> ! [X85] :
        ( ~ c1_1(X85)
        | c2_1(X85)
        | c3_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f984,plain,
    ( spl0_154
  <=> c1_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1859,plain,
    ( c3_1(a908)
    | c2_1(a908)
    | ~ spl0_37
    | ~ spl0_154 ),
    inference(resolution,[],[f986,f376]) ).

fof(f376,plain,
    ( ! [X85] :
        ( ~ c1_1(X85)
        | c2_1(X85)
        | c3_1(X85) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f986,plain,
    ( c1_1(a908)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f1845,plain,
    ( spl0_69
    | spl0_146
    | ~ spl0_63
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1844,f658,f494,f936,f525]) ).

fof(f525,plain,
    ( spl0_69
  <=> c3_1(a903) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f936,plain,
    ( spl0_146
  <=> c2_1(a903) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f494,plain,
    ( spl0_63
  <=> ! [X32] :
        ( c3_1(X32)
        | ~ c0_1(X32)
        | c2_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f658,plain,
    ( spl0_96
  <=> c0_1(a903) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1844,plain,
    ( c2_1(a903)
    | c3_1(a903)
    | ~ spl0_63
    | ~ spl0_96 ),
    inference(resolution,[],[f660,f495]) ).

fof(f495,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c2_1(X32)
        | c3_1(X32) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f660,plain,
    ( c0_1(a903)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1838,plain,
    ( spl0_86
    | ~ spl0_93
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1822,f881,f643,f612]) ).

fof(f612,plain,
    ( spl0_86
  <=> ! [X22] :
        ( c3_1(X22)
        | c1_1(X22)
        | c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f643,plain,
    ( spl0_93
  <=> ! [X48] :
        ( c0_1(X48)
        | c1_1(X48)
        | c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f881,plain,
    ( spl0_136
  <=> ! [X31] :
        ( ~ c2_1(X31)
        | c3_1(X31)
        | c1_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1822,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_93
    | ~ spl0_136 ),
    inference(duplicate_literal_removal,[],[f1807]) ).

fof(f1807,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_93
    | ~ spl0_136 ),
    inference(resolution,[],[f882,f644]) ).

fof(f644,plain,
    ( ! [X48] :
        ( c2_1(X48)
        | c1_1(X48)
        | c0_1(X48) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f882,plain,
    ( ! [X31] :
        ( ~ c2_1(X31)
        | c3_1(X31)
        | c1_1(X31) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f1825,plain,
    ( spl0_156
    | spl0_123
    | ~ spl0_119
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1810,f881,f789,f815,f1001]) ).

fof(f1810,plain,
    ( c3_1(a906)
    | c1_1(a906)
    | ~ spl0_119
    | ~ spl0_136 ),
    inference(resolution,[],[f882,f791]) ).

fof(f1781,plain,
    ( spl0_132
    | spl0_106
    | ~ spl0_37
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1780,f1397,f375,f712,f859]) ).

fof(f1397,plain,
    ( spl0_174
  <=> c1_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1780,plain,
    ( c3_1(a946)
    | c2_1(a946)
    | ~ spl0_37
    | ~ spl0_174 ),
    inference(resolution,[],[f1399,f376]) ).

fof(f1399,plain,
    ( c1_1(a946)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1397]) ).

fof(f1778,plain,
    ( spl0_28
    | spl0_25
    | ~ spl0_63
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1777,f1303,f494,f321,f335]) ).

fof(f335,plain,
    ( spl0_28
  <=> c3_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f321,plain,
    ( spl0_25
  <=> c2_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1303,plain,
    ( spl0_171
  <=> c0_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1777,plain,
    ( c2_1(a936)
    | c3_1(a936)
    | ~ spl0_63
    | ~ spl0_171 ),
    inference(resolution,[],[f1305,f495]) ).

fof(f1305,plain,
    ( c0_1(a936)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1303]) ).

fof(f1763,plain,
    ( ~ spl0_155
    | ~ spl0_43
    | ~ spl0_36
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1755,f835,f370,f399,f996]) ).

fof(f399,plain,
    ( spl0_43
  <=> c0_1(a942) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f835,plain,
    ( spl0_127
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1755,plain,
    ( ~ c0_1(a942)
    | ~ c3_1(a942)
    | ~ spl0_36
    | ~ spl0_127 ),
    inference(resolution,[],[f836,f372]) ).

fof(f836,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f1756,plain,
    ( ~ spl0_83
    | ~ spl0_170
    | ~ spl0_94
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1754,f835,f647,f1255,f594]) ).

fof(f647,plain,
    ( spl0_94
  <=> c2_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1754,plain,
    ( ~ c0_1(a900)
    | ~ c3_1(a900)
    | ~ spl0_94
    | ~ spl0_127 ),
    inference(resolution,[],[f836,f649]) ).

fof(f649,plain,
    ( c2_1(a900)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f1703,plain,
    ( ~ spl0_121
    | spl0_135
    | ~ spl0_33
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1693,f1205,f357,f874,f803]) ).

fof(f803,plain,
    ( spl0_121
  <=> c0_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f357,plain,
    ( spl0_33
  <=> ! [X72] :
        ( ~ c3_1(X72)
        | ~ c0_1(X72)
        | c2_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1693,plain,
    ( c2_1(a907)
    | ~ c0_1(a907)
    | ~ spl0_33
    | ~ spl0_168 ),
    inference(resolution,[],[f358,f1207]) ).

fof(f358,plain,
    ( ! [X72] :
        ( ~ c3_1(X72)
        | c2_1(X72)
        | ~ c0_1(X72) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f1700,plain,
    ( ~ spl0_8
    | spl0_107
    | ~ spl0_33
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1694,f635,f357,f717,f247]) ).

fof(f1694,plain,
    ( c2_1(a914)
    | ~ c0_1(a914)
    | ~ spl0_33
    | ~ spl0_91 ),
    inference(resolution,[],[f358,f637]) ).

fof(f1671,plain,
    ( ~ spl0_42
    | spl0_123
    | ~ spl0_32
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1670,f1001,f354,f815,f394]) ).

fof(f394,plain,
    ( spl0_42
  <=> c0_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f354,plain,
    ( spl0_32
  <=> ! [X71] :
        ( ~ c1_1(X71)
        | c3_1(X71)
        | ~ c0_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1670,plain,
    ( c3_1(a906)
    | ~ c0_1(a906)
    | ~ spl0_32
    | ~ spl0_156 ),
    inference(resolution,[],[f1002,f355]) ).

fof(f355,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | ~ c0_1(X71)
        | c3_1(X71) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f1002,plain,
    ( c1_1(a906)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1637,plain,
    ( spl0_123
    | spl0_156
    | ~ spl0_42
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1627,f826,f394,f1001,f815]) ).

fof(f826,plain,
    ( spl0_125
  <=> ! [X57] :
        ( ~ c0_1(X57)
        | c1_1(X57)
        | c3_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1627,plain,
    ( c1_1(a906)
    | c3_1(a906)
    | ~ spl0_42
    | ~ spl0_125 ),
    inference(resolution,[],[f827,f396]) ).

fof(f396,plain,
    ( c0_1(a906)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f827,plain,
    ( ! [X57] :
        ( ~ c0_1(X57)
        | c3_1(X57)
        | c1_1(X57) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f1632,plain,
    ( spl0_117
    | spl0_21
    | ~ spl0_64
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1631,f826,f502,f303,f773]) ).

fof(f773,plain,
    ( spl0_117
  <=> c1_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f303,plain,
    ( spl0_21
  <=> c3_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f502,plain,
    ( spl0_64
  <=> c0_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1631,plain,
    ( c3_1(a939)
    | c1_1(a939)
    | ~ spl0_64
    | ~ spl0_125 ),
    inference(resolution,[],[f827,f504]) ).

fof(f504,plain,
    ( c0_1(a939)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f1565,plain,
    ( ~ spl0_137
    | spl0_108
    | ~ spl0_111
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1551,f1377,f742,f723,f885]) ).

fof(f885,plain,
    ( spl0_137
  <=> c1_1(a909) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f723,plain,
    ( spl0_108
  <=> c0_1(a909) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f742,plain,
    ( spl0_111
  <=> ! [X23] :
        ( c0_1(X23)
        | ~ c2_1(X23)
        | ~ c1_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1377,plain,
    ( spl0_173
  <=> c2_1(a909) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1551,plain,
    ( c0_1(a909)
    | ~ c1_1(a909)
    | ~ spl0_111
    | ~ spl0_173 ),
    inference(resolution,[],[f743,f1379]) ).

fof(f1379,plain,
    ( c2_1(a909)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1377]) ).

fof(f743,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | ~ c1_1(X23)
        | c0_1(X23) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f1562,plain,
    ( spl0_10
    | ~ spl0_58
    | ~ spl0_102
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1553,f742,f692,f470,f256]) ).

fof(f256,plain,
    ( spl0_10
  <=> c0_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f470,plain,
    ( spl0_58
  <=> c1_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f692,plain,
    ( spl0_102
  <=> c2_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1553,plain,
    ( ~ c1_1(a912)
    | c0_1(a912)
    | ~ spl0_102
    | ~ spl0_111 ),
    inference(resolution,[],[f743,f694]) ).

fof(f694,plain,
    ( c2_1(a912)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f1538,plain,
    ( spl0_171
    | spl0_73
    | spl0_25
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1526,f643,f321,f542,f1303]) ).

fof(f542,plain,
    ( spl0_73
  <=> c1_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1526,plain,
    ( c1_1(a936)
    | c0_1(a936)
    | spl0_25
    | ~ spl0_93 ),
    inference(resolution,[],[f644,f323]) ).

fof(f323,plain,
    ( ~ c2_1(a936)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1536,plain,
    ( spl0_174
    | spl0_114
    | ~ spl0_93
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1527,f859,f643,f758,f1397]) ).

fof(f1527,plain,
    ( c0_1(a946)
    | c1_1(a946)
    | ~ spl0_93
    | spl0_132 ),
    inference(resolution,[],[f644,f861]) ).

fof(f1535,plain,
    ( spl0_13
    | ~ spl0_61
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1530,f643,f484,f268]) ).

fof(f1530,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_61
    | ~ spl0_93 ),
    inference(duplicate_literal_removal,[],[f1519]) ).

fof(f1519,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_61
    | ~ spl0_93 ),
    inference(resolution,[],[f644,f485]) ).

fof(f1514,plain,
    ( spl0_84
    | spl0_65
    | ~ spl0_86
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1481,f763,f612,f507,f601]) ).

fof(f601,plain,
    ( spl0_84
  <=> c1_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f507,plain,
    ( spl0_65
  <=> c0_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f763,plain,
    ( spl0_115
  <=> c3_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1481,plain,
    ( c0_1(a901)
    | c1_1(a901)
    | ~ spl0_86
    | spl0_115 ),
    inference(resolution,[],[f613,f765]) ).

fof(f765,plain,
    ( ~ c3_1(a901)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f613,plain,
    ( ! [X22] :
        ( c3_1(X22)
        | c1_1(X22)
        | c0_1(X22) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f1442,plain,
    ( spl0_168
    | spl0_135
    | ~ spl0_63
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1435,f803,f494,f874,f1205]) ).

fof(f1435,plain,
    ( c2_1(a907)
    | c3_1(a907)
    | ~ spl0_63
    | ~ spl0_121 ),
    inference(resolution,[],[f495,f805]) ).

fof(f805,plain,
    ( c0_1(a907)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f1410,plain,
    ( spl0_160
    | ~ spl0_8
    | ~ spl0_60
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1407,f635,f480,f247,f1031]) ).

fof(f480,plain,
    ( spl0_60
  <=> ! [X65] :
        ( ~ c0_1(X65)
        | ~ c3_1(X65)
        | c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1407,plain,
    ( ~ c0_1(a914)
    | c1_1(a914)
    | ~ spl0_60
    | ~ spl0_91 ),
    inference(resolution,[],[f637,f481]) ).

fof(f481,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | ~ c0_1(X65)
        | c1_1(X65) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1383,plain,
    ( spl0_135
    | spl0_168
    | ~ spl0_37
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1365,f702,f375,f1205,f874]) ).

fof(f1365,plain,
    ( c3_1(a907)
    | c2_1(a907)
    | ~ spl0_37
    | ~ spl0_104 ),
    inference(resolution,[],[f376,f704]) ).

fof(f704,plain,
    ( c1_1(a907)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1380,plain,
    ( spl0_140
    | spl0_173
    | ~ spl0_37
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1366,f885,f375,f1377,f902]) ).

fof(f902,plain,
    ( spl0_140
  <=> c3_1(a909) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1366,plain,
    ( c2_1(a909)
    | c3_1(a909)
    | ~ spl0_37
    | ~ spl0_137 ),
    inference(resolution,[],[f376,f887]) ).

fof(f887,plain,
    ( c1_1(a909)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f1360,plain,
    ( ~ spl0_121
    | spl0_168
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1347,f702,f354,f1205,f803]) ).

fof(f1347,plain,
    ( c3_1(a907)
    | ~ c0_1(a907)
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(resolution,[],[f355,f704]) ).

fof(f1321,plain,
    ( ~ spl0_58
    | ~ spl0_162
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1320,f692,f265,f1053,f470]) ).

fof(f1053,plain,
    ( spl0_162
  <=> c3_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f265,plain,
    ( spl0_12
  <=> ! [X33] :
        ( ~ c3_1(X33)
        | ~ c1_1(X33)
        | ~ c2_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1320,plain,
    ( ~ c3_1(a912)
    | ~ c1_1(a912)
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(resolution,[],[f694,f266]) ).

fof(f266,plain,
    ( ! [X33] :
        ( ~ c2_1(X33)
        | ~ c1_1(X33)
        | ~ c3_1(X33) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f1280,plain,
    ( ~ spl0_103
    | ~ spl0_46
    | ~ spl0_12
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1279,f1240,f265,f413,f697]) ).

fof(f1279,plain,
    ( ~ c1_1(a916)
    | ~ c3_1(a916)
    | ~ spl0_12
    | ~ spl0_169 ),
    inference(resolution,[],[f1242,f266]) ).

fof(f1242,plain,
    ( c2_1(a916)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1240]) ).

fof(f1265,plain,
    ( ~ spl0_83
    | ~ spl0_138
    | ~ spl0_12
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1263,f647,f265,f891,f594]) ).

fof(f1263,plain,
    ( ~ c1_1(a900)
    | ~ c3_1(a900)
    | ~ spl0_12
    | ~ spl0_94 ),
    inference(resolution,[],[f649,f266]) ).

fof(f1246,plain,
    ( ~ spl0_133
    | ~ spl0_46
    | ~ spl0_38
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1232,f697,f378,f413,f864]) ).

fof(f864,plain,
    ( spl0_133
  <=> c0_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f378,plain,
    ( spl0_38
  <=> ! [X84] :
        ( ~ c0_1(X84)
        | ~ c1_1(X84)
        | ~ c3_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1232,plain,
    ( ~ c1_1(a916)
    | ~ c0_1(a916)
    | ~ spl0_38
    | ~ spl0_103 ),
    inference(resolution,[],[f699,f379]) ).

fof(f379,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | ~ c0_1(X84)
        | ~ c1_1(X84) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f1231,plain,
    ( spl0_162
    | spl0_10
    | ~ spl0_68
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1214,f692,f521,f256,f1053]) ).

fof(f1214,plain,
    ( c0_1(a912)
    | c3_1(a912)
    | ~ spl0_68
    | ~ spl0_102 ),
    inference(resolution,[],[f522,f694]) ).

fof(f1157,plain,
    ( spl0_97
    | ~ spl0_165
    | ~ spl0_39
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1142,f942,f381,f1154,f665]) ).

fof(f381,plain,
    ( spl0_39
  <=> ! [X83] :
        ( ~ c2_1(X83)
        | c3_1(X83)
        | ~ c0_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1142,plain,
    ( ~ c0_1(a926)
    | c3_1(a926)
    | ~ spl0_39
    | ~ spl0_147 ),
    inference(resolution,[],[f382,f944]) ).

fof(f382,plain,
    ( ! [X83] :
        ( ~ c2_1(X83)
        | ~ c0_1(X83)
        | c3_1(X83) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f1148,plain,
    ( spl0_123
    | ~ spl0_42
    | ~ spl0_39
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1138,f789,f381,f394,f815]) ).

fof(f1138,plain,
    ( ~ c0_1(a906)
    | c3_1(a906)
    | ~ spl0_39
    | ~ spl0_119 ),
    inference(resolution,[],[f382,f791]) ).

fof(f1025,plain,
    ( spl0_78
    | ~ spl0_158
    | ~ spl0_22
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1024,f970,f308,f1013,f569]) ).

fof(f569,plain,
    ( spl0_78
  <=> c2_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1024,plain,
    ( ~ c1_1(a905)
    | c2_1(a905)
    | ~ spl0_22
    | ~ spl0_152 ),
    inference(resolution,[],[f309,f972]) ).

fof(f987,plain,
    ( spl0_154
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f34,f675,f984]) ).

fof(f675,plain,
    ( spl0_99
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f34,plain,
    ( ~ hskp7
    | c1_1(a908) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp22
      | ! [X0] :
          ( c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0
          | ~ c3_1(X0) )
      | ! [X1] :
          ( c3_1(X1)
          | c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( ! [X2] :
          ( ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0
          | ~ c3_1(X2) )
      | hskp15
      | hskp23 )
    & ( ! [X3] :
          ( c1_1(X3)
          | ~ ndr1_0
          | c2_1(X3)
          | c3_1(X3) )
      | hskp27
      | hskp11 )
    & ( ~ hskp29
      | ( ndr1_0
        & c3_1(a933)
        & c0_1(a933)
        & c2_1(a933) ) )
    & ( ~ hskp3
      | ( ~ c1_1(a904)
        & ~ c2_1(a904)
        & ndr1_0
        & c0_1(a904) ) )
    & ( hskp15
      | ! [X4] :
          ( c2_1(X4)
          | c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0
          | ~ c0_1(X5) ) )
    & ( ~ hskp13
      | ( ~ c3_1(a921)
        & ndr1_0
        & ~ c0_1(a921)
        & c2_1(a921) ) )
    & ( ! [X6] :
          ( c3_1(X6)
          | ~ ndr1_0
          | c2_1(X6)
          | ~ c0_1(X6) )
      | hskp14
      | hskp6 )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c0_1(X7)
          | c2_1(X7) )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c1_1(X8) )
      | ! [X9] :
          ( c2_1(X9)
          | c0_1(X9)
          | ~ ndr1_0
          | c1_1(X9) ) )
    & ( ~ hskp0
      | ( ~ c1_1(a901)
        & ~ c0_1(a901)
        & ~ c3_1(a901)
        & ndr1_0 ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | ~ c0_1(X10)
          | c1_1(X10) )
      | ! [X11] :
          ( c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0
          | c3_1(X11) )
      | hskp9 )
    & ( hskp5
      | hskp26
      | hskp21 )
    & ( ! [X12] :
          ( ~ ndr1_0
          | c2_1(X12)
          | ~ c3_1(X12)
          | ~ c0_1(X12) )
      | hskp0
      | ! [X13] :
          ( c1_1(X13)
          | c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | ~ c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14) )
      | hskp27
      | ! [X15] :
          ( c2_1(X15)
          | c3_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c0_1(X16)
          | ~ c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | hskp13
      | hskp27 )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c3_1(X18)
          | ~ c1_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ( c3_1(a917)
        & c1_1(a917)
        & ndr1_0
        & ~ c2_1(a917) )
      | ~ hskp12 )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 )
      | hskp21
      | hskp25 )
    & ( ! [X20] :
          ( c2_1(X20)
          | ~ ndr1_0
          | c3_1(X20)
          | ~ c0_1(X20) )
      | ! [X21] :
          ( c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0
          | c0_1(X21) )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X23] :
          ( c0_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23)
          | ~ c2_1(X23) )
      | hskp13 )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a924)
        & ~ c1_1(a924)
        & c2_1(a924) ) )
    & ( hskp5
      | hskp7
      | ! [X24] :
          ( ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0
          | c2_1(X24) ) )
    & ( hskp13
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ ndr1_0
          | ~ c3_1(X25)
          | c0_1(X25) )
      | hskp7 )
    & ( ~ hskp27
      | ( c2_1(a900)
        & ndr1_0
        & c3_1(a900)
        & c1_1(a900) ) )
    & ( ! [X26] :
          ( c2_1(X26)
          | ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26) )
      | hskp20
      | hskp18 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( hskp30
      | hskp24
      | ! [X28] :
          ( ~ c1_1(X28)
          | c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( ~ c3_1(a910)
        & ndr1_0
        & ~ c1_1(a910)
        & c2_1(a910) ) )
    & ( ! [X29] :
          ( ~ c3_1(X29)
          | ~ ndr1_0
          | c2_1(X29)
          | ~ c1_1(X29) )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c0_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | ~ c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp1
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0
          | c0_1(X34) ) )
    & ( ~ hskp2
      | ( ~ c3_1(a903)
        & ndr1_0
        & c0_1(a903)
        & ~ c2_1(a903) ) )
    & ( ( ~ c2_1(a914)
        & c3_1(a914)
        & ndr1_0
        & c0_1(a914) )
      | ~ hskp11 )
    & ( hskp7
      | hskp14
      | ! [X35] :
          ( c0_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c2_1(X35) ) )
    & ( ( ~ c3_1(a906)
        & c0_1(a906)
        & ndr1_0
        & c2_1(a906) )
      | ~ hskp5 )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0
          | c1_1(X36) )
      | hskp28 )
    & ( ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c2_1(X37)
          | c0_1(X37) )
      | hskp28
      | hskp16 )
    & ( ~ hskp20
      | ( ~ c1_1(a939)
        & ~ c3_1(a939)
        & ndr1_0
        & c0_1(a939) ) )
    & ( ( ndr1_0
        & c1_1(a907)
        & ~ c2_1(a907)
        & c0_1(a907) )
      | ~ hskp6 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c1_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ~ hskp24
      | ( ~ c1_1(a959)
        & ~ c2_1(a959)
        & ndr1_0
        & ~ c0_1(a959) ) )
    & ( ( ~ c2_1(a937)
        & ~ c0_1(a937)
        & ndr1_0
        & c1_1(a937) )
      | ~ hskp18 )
    & ( hskp12
      | hskp13
      | hskp21 )
    & ( ! [X39] :
          ( ~ c3_1(X39)
          | ~ ndr1_0
          | ~ c1_1(X39)
          | ~ c0_1(X39) )
      | ! [X40] :
          ( c1_1(X40)
          | ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c0_1(X40) )
      | hskp1 )
    & ( hskp12
      | ! [X41] :
          ( c1_1(X41)
          | c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp0
      | ! [X42] :
          ( c1_1(X42)
          | ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ ndr1_0
          | c2_1(X43)
          | ~ c0_1(X43)
          | ~ c1_1(X43) ) )
    & ( hskp28
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c0_1(X44) )
      | hskp12 )
    & ( hskp11
      | hskp6
      | ! [X45] :
          ( c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0
          | c0_1(X45) ) )
    & ( ! [X46] :
          ( ~ c2_1(X46)
          | ~ ndr1_0
          | ~ c0_1(X46)
          | c3_1(X46) )
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ ndr1_0
          | c0_1(X48)
          | c1_1(X48) ) )
    & ( ! [X49] :
          ( ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0
          | ~ c2_1(X49) )
      | hskp11
      | hskp12 )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c2_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50) )
      | hskp19
      | hskp18 )
    & ( hskp20
      | hskp4
      | hskp14 )
    & ( ( c2_1(a942)
        & ndr1_0
        & c0_1(a942)
        & c1_1(a942) )
      | ~ hskp30 )
    & ( ( c3_1(a949)
        & c2_1(a949)
        & ndr1_0
        & ~ c1_1(a949) )
      | ~ hskp22 )
    & ( ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0
          | c3_1(X53) ) )
    & ( ~ hskp25
      | ( c0_1(a960)
        & ~ c1_1(a960)
        & c3_1(a960)
        & ndr1_0 ) )
    & ( ~ hskp8
      | ( ~ c0_1(a909)
        & ndr1_0
        & c1_1(a909)
        & ~ c3_1(a909) ) )
    & ( hskp5
      | ! [X54] :
          ( ~ c3_1(X54)
          | c0_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0
          | c3_1(X55) ) )
    & ( hskp27
      | ! [X56] :
          ( c3_1(X56)
          | c0_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp30
      | ! [X57] :
          ( c1_1(X57)
          | c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp9
      | hskp30
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c1_1(X58)
          | c2_1(X58)
          | c3_1(X58) ) )
    & ( ( c2_1(a912)
        & c1_1(a912)
        & ~ c0_1(a912)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c1_1(X59)
          | c2_1(X59)
          | c3_1(X59) )
      | ! [X60] :
          ( ~ c1_1(X60)
          | c2_1(X60)
          | ~ ndr1_0
          | ~ c3_1(X60) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a954)
        & ~ c0_1(a954)
        & c1_1(a954) ) )
    & ( ! [X61] :
          ( ~ ndr1_0
          | ~ c1_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61) )
      | hskp0
      | ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c3_1(X63)
          | ~ ndr1_0
          | c0_1(X63)
          | c2_1(X63) )
      | hskp8
      | ! [X64] :
          ( ~ ndr1_0
          | c0_1(X64)
          | ~ c3_1(X64)
          | ~ c1_1(X64) ) )
    & ( hskp21
      | ! [X65] :
          ( ~ c3_1(X65)
          | c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c2_1(X66)
          | ~ ndr1_0
          | c3_1(X66) ) )
    & ( hskp27
      | ! [X67] :
          ( c3_1(X67)
          | ~ ndr1_0
          | c1_1(X67)
          | c2_1(X67) )
      | hskp9 )
    & ( ( ndr1_0
        & c2_1(a926)
        & ~ c3_1(a926)
        & c1_1(a926) )
      | ~ hskp16 )
    & ( ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68) )
      | hskp30
      | hskp17 )
    & ( ( c2_1(a902)
        & ndr1_0
        & ~ c1_1(a902)
        & c0_1(a902) )
      | ~ hskp1 )
    & ( hskp21
      | hskp10
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c1_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( c3_1(a923)
        & ~ c0_1(a923)
        & ndr1_0
        & ~ c1_1(a923) ) )
    & ( ! [X70] :
          ( ~ c1_1(X70)
          | ~ ndr1_0
          | c3_1(X70)
          | ~ c2_1(X70) )
      | hskp8
      | hskp20 )
    & ( ( ndr1_0
        & c2_1(a938)
        & ~ c0_1(a938)
        & c3_1(a938) )
      | ~ hskp19 )
    & ( ~ hskp4
      | ( ~ c2_1(a905)
        & ~ c0_1(a905)
        & ndr1_0
        & c3_1(a905) ) )
    & ( ~ hskp7
      | ( ~ c3_1(a908)
        & ndr1_0
        & ~ c2_1(a908)
        & c1_1(a908) ) )
    & ( ( c0_1(a916)
        & c3_1(a916)
        & c1_1(a916)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ c1_1(X71) )
      | hskp25
      | ! [X72] :
          ( ~ c3_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a936)
        & ~ c2_1(a936)
        & ~ c3_1(a936) ) )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ ndr1_0
          | ~ c0_1(X73)
          | c2_1(X73) )
      | hskp29
      | ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0
          | ~ c3_1(X74) ) )
    & ( ~ hskp26
      | ( c0_1(a979)
        & ~ c3_1(a979)
        & c1_1(a979)
        & ndr1_0 ) )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ ndr1_0
          | c0_1(X75) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | c0_1(X76) )
      | hskp27 )
    & ( hskp2
      | ! [X77] :
          ( c0_1(X77)
          | c3_1(X77)
          | ~ ndr1_0
          | ~ c2_1(X77) )
      | hskp0 )
    & ( hskp4
      | ! [X78] :
          ( ~ ndr1_0
          | c1_1(X78)
          | ~ c2_1(X78)
          | c0_1(X78) )
      | hskp3 )
    & ( hskp10
      | ! [X79] :
          ( ~ c3_1(X79)
          | ~ ndr1_0
          | c2_1(X79)
          | ~ c0_1(X79) )
      | hskp1 )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c2_1(a946)
        & ~ c3_1(a946)
        & ~ c0_1(a946) ) )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c3_1(X80)
          | c1_1(X80)
          | ~ c0_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | c0_1(X81)
          | c2_1(X81)
          | c1_1(X81) )
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ ndr1_0
          | c3_1(X82)
          | c0_1(X82) ) )
    & ( ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83) )
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c1_1(X84) )
      | ! [X85] :
          ( ~ ndr1_0
          | c3_1(X85)
          | c2_1(X85)
          | ~ c1_1(X85) ) )
    & ( ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86) )
      | hskp15
      | ! [X87] :
          ( c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0
          | ~ c3_1(X87) ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c0_1(X88) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c1_1(X89) )
      | hskp9 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp22
      | ! [X32] :
          ( c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0
          | ~ c3_1(X32) )
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0
          | ~ c3_1(X72) )
      | hskp15
      | hskp23 )
    & ( ! [X18] :
          ( c1_1(X18)
          | ~ ndr1_0
          | c2_1(X18)
          | c3_1(X18) )
      | hskp27
      | hskp11 )
    & ( ~ hskp29
      | ( ndr1_0
        & c3_1(a933)
        & c0_1(a933)
        & c2_1(a933) ) )
    & ( ~ hskp3
      | ( ~ c1_1(a904)
        & ~ c2_1(a904)
        & ndr1_0
        & c0_1(a904) ) )
    & ( hskp15
      | ! [X45] :
          ( c2_1(X45)
          | c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0
          | ~ c0_1(X46) ) )
    & ( ~ hskp13
      | ( ~ c3_1(a921)
        & ndr1_0
        & ~ c0_1(a921)
        & c2_1(a921) ) )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ ndr1_0
          | c2_1(X87)
          | ~ c0_1(X87) )
      | hskp14
      | hskp6 )
    & ( ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | c0_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c1_1(X53) )
      | ! [X55] :
          ( c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0
          | c1_1(X55) ) )
    & ( ~ hskp0
      | ( ~ c1_1(a901)
        & ~ c0_1(a901)
        & ~ c3_1(a901)
        & ndr1_0 ) )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c2_1(X80)
          | ~ c0_1(X80)
          | c1_1(X80) )
      | ! [X81] :
          ( c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0
          | c3_1(X81) )
      | hskp9 )
    & ( hskp5
      | hskp26
      | hskp21 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | c2_1(X61)
          | ~ c3_1(X61)
          | ~ c0_1(X61) )
      | hskp0
      | ! [X62] :
          ( c1_1(X62)
          | c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c1_1(X64)
          | ~ c2_1(X64) )
      | hskp27
      | ! [X65] :
          ( c2_1(X65)
          | c3_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c0_1(X28)
          | ~ c1_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp13
      | hskp27 )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c1_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ( c3_1(a917)
        & c1_1(a917)
        & ndr1_0
        & ~ c2_1(a917) )
      | ~ hskp12 )
    & ( ! [X89] :
          ( ~ c3_1(X89)
          | ~ c1_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | hskp21
      | hskp25 )
    & ( ! [X14] :
          ( c2_1(X14)
          | ~ ndr1_0
          | c3_1(X14)
          | ~ c0_1(X14) )
      | ! [X16] :
          ( c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0
          | c0_1(X16) )
      | ! [X15] :
          ( c0_1(X15)
          | c3_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X21] :
          ( c0_1(X21)
          | ~ ndr1_0
          | ~ c1_1(X21)
          | ~ c2_1(X21) )
      | hskp13 )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a924)
        & ~ c1_1(a924)
        & c2_1(a924) ) )
    & ( hskp5
      | hskp7
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0
          | c2_1(X25) ) )
    & ( hskp13
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ ndr1_0
          | ~ c3_1(X51)
          | c0_1(X51) )
      | hskp7 )
    & ( ~ hskp27
      | ( c2_1(a900)
        & ndr1_0
        & c3_1(a900)
        & c1_1(a900) ) )
    & ( ! [X22] :
          ( c2_1(X22)
          | ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22) )
      | hskp20
      | hskp18 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( hskp30
      | hskp24
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( ~ c3_1(a910)
        & ndr1_0
        & ~ c1_1(a910)
        & c2_1(a910) ) )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | ~ ndr1_0
          | c2_1(X40)
          | ~ c1_1(X40) )
      | ! [X41] :
          ( ~ c2_1(X41)
          | c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp1
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0
          | c0_1(X59) ) )
    & ( ~ hskp2
      | ( ~ c3_1(a903)
        & ndr1_0
        & c0_1(a903)
        & ~ c2_1(a903) ) )
    & ( ( ~ c2_1(a914)
        & c3_1(a914)
        & ndr1_0
        & c0_1(a914) )
      | ~ hskp11 )
    & ( hskp7
      | hskp14
      | ! [X13] :
          ( c0_1(X13)
          | ~ ndr1_0
          | ~ c1_1(X13)
          | ~ c2_1(X13) ) )
    & ( ( ~ c3_1(a906)
        & c0_1(a906)
        & ndr1_0
        & c2_1(a906) )
      | ~ hskp5 )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0
          | c1_1(X52) )
      | hskp28 )
    & ( ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | c0_1(X88) )
      | hskp28
      | hskp16 )
    & ( ~ hskp20
      | ( ~ c1_1(a939)
        & ~ c3_1(a939)
        & ndr1_0
        & c0_1(a939) ) )
    & ( ( ndr1_0
        & c1_1(a907)
        & ~ c2_1(a907)
        & c0_1(a907) )
      | ~ hskp6 )
    & ( ! [X86] :
          ( c0_1(X86)
          | c1_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ~ hskp24
      | ( ~ c1_1(a959)
        & ~ c2_1(a959)
        & ndr1_0
        & ~ c0_1(a959) ) )
    & ( ( ~ c2_1(a937)
        & ~ c0_1(a937)
        & ndr1_0
        & c1_1(a937) )
      | ~ hskp18 )
    & ( hskp12
      | hskp13
      | hskp21 )
    & ( ! [X5] :
          ( ~ c3_1(X5)
          | ~ ndr1_0
          | ~ c1_1(X5)
          | ~ c0_1(X5) )
      | ! [X6] :
          ( c1_1(X6)
          | ~ ndr1_0
          | ~ c3_1(X6)
          | ~ c0_1(X6) )
      | hskp1 )
    & ( hskp12
      | ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp0
      | ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ ndr1_0
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ c1_1(X57) ) )
    & ( hskp28
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | c3_1(X7)
          | c0_1(X7) )
      | hskp12 )
    & ( hskp11
      | hskp6
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0
          | c0_1(X84) ) )
    & ( ! [X35] :
          ( ~ c2_1(X35)
          | ~ ndr1_0
          | ~ c0_1(X35)
          | c3_1(X35) )
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ ndr1_0
          | c0_1(X36)
          | c1_1(X36) ) )
    & ( ! [X9] :
          ( ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0
          | ~ c2_1(X9) )
      | hskp11
      | hskp12 )
    & ( ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | ~ c0_1(X0)
          | c1_1(X0) )
      | hskp19
      | hskp18 )
    & ( hskp20
      | hskp4
      | hskp14 )
    & ( ( c2_1(a942)
        & ndr1_0
        & c0_1(a942)
        & c1_1(a942) )
      | ~ hskp30 )
    & ( ( c3_1(a949)
        & c2_1(a949)
        & ndr1_0
        & ~ c1_1(a949) )
      | ~ hskp22 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0
          | c3_1(X47) ) )
    & ( ~ hskp25
      | ( c0_1(a960)
        & ~ c1_1(a960)
        & c3_1(a960)
        & ndr1_0 ) )
    & ( ~ hskp8
      | ( ~ c0_1(a909)
        & ndr1_0
        & c1_1(a909)
        & ~ c3_1(a909) ) )
    & ( hskp5
      | ! [X27] :
          ( ~ c3_1(X27)
          | c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c0_1(X26)
          | ~ ndr1_0
          | c3_1(X26) ) )
    & ( hskp27
      | ! [X8] :
          ( c3_1(X8)
          | c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp30
      | ! [X11] :
          ( c1_1(X11)
          | c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp9
      | hskp30
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c1_1(X17)
          | c2_1(X17)
          | c3_1(X17) ) )
    & ( ( c2_1(a912)
        & c1_1(a912)
        & ~ c0_1(a912)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | c2_1(X75)
          | c3_1(X75) )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | ~ ndr1_0
          | ~ c3_1(X74) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a954)
        & ~ c0_1(a954)
        & c1_1(a954) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | c3_1(X30) )
      | hskp0
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c3_1(X24)
          | ~ ndr1_0
          | c0_1(X24)
          | c2_1(X24) )
      | hskp8
      | ! [X23] :
          ( ~ ndr1_0
          | c0_1(X23)
          | ~ c3_1(X23)
          | ~ c1_1(X23) ) )
    & ( hskp21
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0
          | c3_1(X82) ) )
    & ( hskp27
      | ! [X79] :
          ( c3_1(X79)
          | ~ ndr1_0
          | c1_1(X79)
          | c2_1(X79) )
      | hskp9 )
    & ( ( ndr1_0
        & c2_1(a926)
        & ~ c3_1(a926)
        & c1_1(a926) )
      | ~ hskp16 )
    & ( ! [X60] :
          ( ~ ndr1_0
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ c2_1(X60) )
      | hskp30
      | hskp17 )
    & ( ( c2_1(a902)
        & ndr1_0
        & ~ c1_1(a902)
        & c0_1(a902) )
      | ~ hskp1 )
    & ( hskp21
      | hskp10
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( c3_1(a923)
        & ~ c0_1(a923)
        & ndr1_0
        & ~ c1_1(a923) ) )
    & ( ! [X12] :
          ( ~ c1_1(X12)
          | ~ ndr1_0
          | c3_1(X12)
          | ~ c2_1(X12) )
      | hskp8
      | hskp20 )
    & ( ( ndr1_0
        & c2_1(a938)
        & ~ c0_1(a938)
        & c3_1(a938) )
      | ~ hskp19 )
    & ( ~ hskp4
      | ( ~ c2_1(a905)
        & ~ c0_1(a905)
        & ndr1_0
        & c3_1(a905) ) )
    & ( ~ hskp7
      | ( ~ c3_1(a908)
        & ndr1_0
        & ~ c2_1(a908)
        & c1_1(a908) ) )
    & ( ( c0_1(a916)
        & c3_1(a916)
        & c1_1(a916)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70) )
      | hskp25
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a936)
        & ~ c2_1(a936)
        & ~ c3_1(a936) ) )
    & ( ! [X4] :
          ( c1_1(X4)
          | ~ ndr1_0
          | ~ c0_1(X4)
          | c2_1(X4) )
      | hskp29
      | ! [X3] :
          ( c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0
          | ~ c3_1(X3) ) )
    & ( ~ hskp26
      | ( c0_1(a979)
        & ~ c3_1(a979)
        & c1_1(a979)
        & ndr1_0 ) )
    & ( ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0
          | c0_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c1_1(X19)
          | ~ c3_1(X19)
          | c0_1(X19) )
      | hskp27 )
    & ( hskp2
      | ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0
          | ~ c2_1(X31) )
      | hskp0 )
    & ( hskp4
      | ! [X39] :
          ( ~ ndr1_0
          | c1_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39) )
      | hskp3 )
    & ( hskp10
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ ndr1_0
          | c2_1(X63)
          | ~ c0_1(X63) )
      | hskp1 )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c2_1(a946)
        & ~ c3_1(a946)
        & ~ c0_1(a946) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | c3_1(X76)
          | c1_1(X76)
          | ~ c0_1(X76) )
      | ! [X78] :
          ( ~ ndr1_0
          | c0_1(X78)
          | c2_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ ndr1_0
          | c3_1(X77)
          | c0_1(X77) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c3_1(X67)
          | ~ c2_1(X67) )
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ ndr1_0
          | ~ c0_1(X68)
          | ~ c1_1(X68) )
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | ~ c1_1(X66) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43) )
      | hskp15
      | ! [X44] :
          ( c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0
          | ~ c3_1(X44) ) )
    & ( ! [X2] :
          ( ~ c3_1(X2)
          | ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c0_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | hskp9 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | hskp0
      | ! [X30] :
          ( c3_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp6
      | ! [X84] :
          ( ~ c1_1(X84)
          | c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a914)
        & c3_1(a914)
        & ndr1_0
        & c0_1(a914) )
      | ~ hskp11 )
    & ( ~ hskp25
      | ( c0_1(a960)
        & ~ c1_1(a960)
        & c3_1(a960)
        & ndr1_0 ) )
    & ( hskp14
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c2_1(X13)
          | c0_1(X13)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ~ hskp8
      | ( ~ c0_1(a909)
        & ndr1_0
        & c1_1(a909)
        & ~ c3_1(a909) ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a936)
        & ~ c2_1(a936)
        & ~ c3_1(a936) ) )
    & ( hskp27
      | ! [X28] :
          ( ~ c1_1(X28)
          | c3_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ~ hskp29
      | ( ndr1_0
        & c3_1(a933)
        & c0_1(a933)
        & c2_1(a933) ) )
    & ( ~ hskp3
      | ( ~ c1_1(a904)
        & ~ c2_1(a904)
        & ndr1_0
        & c0_1(a904) ) )
    & ( ( c3_1(a949)
        & c2_1(a949)
        & ndr1_0
        & ~ c1_1(a949) )
      | ~ hskp22 )
    & ( hskp4
      | ! [X39] :
          ( ~ c2_1(X39)
          | c0_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X31] :
          ( c3_1(X31)
          | ~ c2_1(X31)
          | c0_1(X31)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a924)
        & ~ c1_1(a924)
        & c2_1(a924) ) )
    & ( ~ hskp13
      | ( ~ c3_1(a921)
        & ndr1_0
        & ~ c0_1(a921)
        & c2_1(a921) ) )
    & ( hskp5
      | ! [X26] :
          ( c3_1(X26)
          | c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c0_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X8] :
          ( c3_1(X8)
          | c2_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp23
      | ! [X72] :
          ( ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X11] :
          ( c1_1(X11)
          | c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | hskp7
      | hskp30 )
    & ( ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp9
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c2_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | ~ c0_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp5
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c0_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp21
      | hskp25 )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a916)
        & c3_1(a916)
        & c1_1(a916)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ndr1_0
        & c2_1(a938)
        & ~ c0_1(a938)
        & c3_1(a938) )
      | ~ hskp19 )
    & ( hskp27
      | ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c3_1(X19)
          | c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | ~ c1_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a917)
        & c1_1(a917)
        & ndr1_0
        & ~ c2_1(a917) )
      | ~ hskp12 )
    & ( ! [X9] :
          ( ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ( c2_1(a912)
        & c1_1(a912)
        & ~ c0_1(a912)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp25
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c0_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c2_1(X7)
          | c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp28
      | hskp12 )
    & ( hskp0
      | ! [X62] :
          ( c2_1(X62)
          | c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c0_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp7
      | ! [X50] :
          ( c1_1(X50)
          | ~ c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( ~ hskp7
      | ( ~ c3_1(a908)
        & ndr1_0
        & ~ c2_1(a908)
        & c1_1(a908) ) )
    & ( ( c2_1(a942)
        & ndr1_0
        & c0_1(a942)
        & c1_1(a942) )
      | ~ hskp30 )
    & ( hskp1
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | ~ c0_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | hskp15
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp20
      | hskp18 )
    & ( ! [X3] :
          ( ~ c3_1(X3)
          | ~ c0_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | hskp29 )
    & ( hskp12
      | hskp17
      | ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ~ hskp20
      | ( ~ c1_1(a939)
        & ~ c3_1(a939)
        & ndr1_0
        & c0_1(a939) ) )
    & ( ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | hskp9
      | hskp30 )
    & ( ~ hskp4
      | ( ~ c2_1(a905)
        & ~ c0_1(a905)
        & ndr1_0
        & c3_1(a905) ) )
    & ( ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | ~ c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ( ~ c2_1(a937)
        & ~ c0_1(a937)
        & ndr1_0
        & c1_1(a937) )
      | ~ hskp18 )
    & ( hskp5
      | hskp26
      | hskp21 )
    & ( hskp16
      | hskp28
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | c1_1(X36)
          | c0_1(X36)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c0_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp27
      | ( c2_1(a900)
        & ndr1_0
        & c3_1(a900)
        & c1_1(a900) ) )
    & ( hskp20
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c2_1(a946)
        & ~ c3_1(a946)
        & ~ c0_1(a946) ) )
    & ( ( ndr1_0
        & c2_1(a926)
        & ~ c3_1(a926)
        & c1_1(a926) )
      | ~ hskp16 )
    & ( hskp20
      | hskp4
      | hskp14 )
    & ( ~ hskp26
      | ( c0_1(a979)
        & ~ c3_1(a979)
        & c1_1(a979)
        & ndr1_0 ) )
    & ( ! [X33] :
          ( c2_1(X33)
          | c3_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | hskp22
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | c3_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c1_1(X48)
          | c0_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ~ hskp24
      | ( ~ c1_1(a959)
        & ~ c2_1(a959)
        & ndr1_0
        & ~ c0_1(a959) ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp12
      | hskp13
      | hskp21 )
    & ( hskp18
      | ! [X0] :
          ( c1_1(X0)
          | ~ c0_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp19 )
    & ( hskp24
      | hskp30
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a907)
        & ~ c2_1(a907)
        & c0_1(a907) )
      | ~ hskp6 )
    & ( hskp6
      | hskp14
      | ! [X87] :
          ( ~ c0_1(X87)
          | c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | c0_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ~ hskp2
      | ( ~ c3_1(a903)
        & ndr1_0
        & c0_1(a903)
        & ~ c2_1(a903) ) )
    & ( hskp21
      | ! [X10] :
          ( ~ c1_1(X10)
          | c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X51] :
          ( ~ c2_1(X51)
          | c0_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp13
      | hskp7 )
    & ( ! [X38] :
          ( c2_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp16 )
    & ( hskp17
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c2_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ( c2_1(a902)
        & ndr1_0
        & ~ c1_1(a902)
        & c0_1(a902) )
      | ~ hskp1 )
    & ( ! [X15] :
          ( c1_1(X15)
          | c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | c2_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ~ c1_1(a901)
        & ~ c0_1(a901)
        & ~ c3_1(a901)
        & ndr1_0 ) )
    & ( ~ hskp14
      | ( c3_1(a923)
        & ~ c0_1(a923)
        & ndr1_0
        & ~ c1_1(a923) ) )
    & ( ! [X18] :
          ( c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp27
      | hskp11 )
    & ( ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | hskp1
      | hskp23 )
    & ( hskp5
      | hskp7
      | ! [X25] :
          ( ~ c0_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X63] :
          ( c2_1(X63)
          | ~ c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | hskp9
      | hskp27 )
    & ( ( ~ c3_1(a906)
        & c0_1(a906)
        & ndr1_0
        & c2_1(a906) )
      | ~ hskp5 )
    & ( ! [X43] :
          ( ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp15
      | ! [X44] :
          ( ~ c3_1(X44)
          | c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a954)
        & ~ c0_1(a954)
        & c1_1(a954) ) )
    & ( ~ hskp9
      | ( ~ c3_1(a910)
        & ndr1_0
        & ~ c1_1(a910)
        & c2_1(a910) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | hskp0
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | ~ c0_1(X30)
            | ~ c1_1(X30) ) ) )
    & ( hskp11
      | hskp6
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | c3_1(X84)
            | c0_1(X84) ) ) )
    & ( ( ~ c2_1(a914)
        & c3_1(a914)
        & ndr1_0
        & c0_1(a914) )
      | ~ hskp11 )
    & ( ~ hskp25
      | ( c0_1(a960)
        & ~ c1_1(a960)
        & c3_1(a960)
        & ndr1_0 ) )
    & ( hskp14
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c2_1(X13)
            | c0_1(X13) ) )
      | hskp7 )
    & ( ~ hskp8
      | ( ~ c0_1(a909)
        & ndr1_0
        & c1_1(a909)
        & ~ c3_1(a909) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c2_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | ~ c2_1(X42)
            | c3_1(X42) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | ~ c1_1(X40) ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a936)
        & ~ c2_1(a936)
        & ~ c3_1(a936) ) )
    & ( hskp27
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c3_1(X28)
            | ~ c0_1(X28) ) )
      | hskp13 )
    & ( ~ hskp29
      | ( ndr1_0
        & c3_1(a933)
        & c0_1(a933)
        & c2_1(a933) ) )
    & ( ~ hskp3
      | ( ~ c1_1(a904)
        & ~ c2_1(a904)
        & ndr1_0
        & c0_1(a904) ) )
    & ( ( c3_1(a949)
        & c2_1(a949)
        & ndr1_0
        & ~ c1_1(a949) )
      | ~ hskp22 )
    & ( hskp4
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | c0_1(X39)
            | c1_1(X39) ) )
      | hskp3 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | ~ c2_1(X31)
            | c0_1(X31) ) )
      | hskp2
      | hskp0 )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a924)
        & ~ c1_1(a924)
        & c2_1(a924) ) )
    & ( ~ hskp13
      | ( ~ c3_1(a921)
        & ndr1_0
        & ~ c0_1(a921)
        & c2_1(a921) ) )
    & ( hskp5
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | c0_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | ~ c3_1(X27)
            | ~ c2_1(X27) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c3_1(X54)
            | c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c0_1(X55)
            | c1_1(X55) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | ~ c3_1(X53)
            | ~ c0_1(X53) ) ) )
    & ( hskp10
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c2_1(X8)
            | c0_1(X8) ) )
      | hskp27 )
    & ( hskp23
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | ~ c2_1(X72)
            | ~ c3_1(X72) ) )
      | hskp15 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | c3_1(X11)
            | ~ c0_1(X11) ) )
      | hskp7
      | hskp30 )
    & ( ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c0_1(X1) ) )
      | hskp9
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | ~ c3_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | c1_1(X78)
            | c0_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c2_1(X77)
            | c0_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | ~ c0_1(X76)
            | c1_1(X76) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c0_1(X57)
            | c2_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | ~ c0_1(X56)
            | ~ c2_1(X56) ) )
      | hskp0 )
    & ( hskp5
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c0_1(X59)
            | c1_1(X59) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c2_1(X89)
            | ~ c3_1(X89) ) )
      | hskp21
      | hskp25 )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c3_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c3_1(X75) ) ) )
    & ( ( c0_1(a916)
        & c3_1(a916)
        & c1_1(a916)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ndr1_0
        & c2_1(a938)
        & ~ c0_1(a938)
        & c3_1(a938) )
      | ~ hskp19 )
    & ( hskp27
      | ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c2_1(X20)
            | c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c3_1(X19)
            | c0_1(X19) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c0_1(X68)
            | ~ c1_1(X68) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | ~ c1_1(X66)
            | c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | c3_1(X67)
            | ~ c0_1(X67) ) ) )
    & ( ( c3_1(a917)
        & c1_1(a917)
        & ndr1_0
        & ~ c2_1(a917) )
      | ~ hskp12 )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c3_1(X9)
            | ~ c1_1(X9) ) )
      | hskp11
      | hskp12 )
    & ( ( c2_1(a912)
        & c1_1(a912)
        & ~ c0_1(a912)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp25
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c3_1(X70)
            | ~ c1_1(X70) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | c0_1(X7)
            | c3_1(X7) ) )
      | hskp28
      | hskp12 )
    & ( hskp0
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | c1_1(X62)
            | c0_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c0_1(X61)
            | c2_1(X61) ) ) )
    & ( hskp6
      | hskp7
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | ~ c3_1(X50)
            | c0_1(X50) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c1_1(X21)
            | c0_1(X21) ) )
      | hskp3
      | hskp13 )
    & ( ~ hskp7
      | ( ~ c3_1(a908)
        & ndr1_0
        & ~ c2_1(a908)
        & c1_1(a908) ) )
    & ( ( c2_1(a942)
        & ndr1_0
        & c0_1(a942)
        & c1_1(a942) )
      | ~ hskp30 )
    & ( hskp1
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | ~ c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | ~ c0_1(X6)
            | ~ c3_1(X6) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) )
      | hskp1
      | hskp2 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c2_1(X45)
            | ~ c0_1(X45) ) )
      | hskp15
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c3_1(X46)
            | ~ c0_1(X46) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c2_1(X22)
            | ~ c3_1(X22) ) )
      | hskp20
      | hskp18 )
    & ( ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c0_1(X3)
            | c1_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c1_1(X4)
            | ~ c0_1(X4) ) )
      | hskp29 )
    & ( hskp12
      | hskp17
      | ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c2_1(X85)
            | ~ c0_1(X85) ) ) )
    & ( ~ hskp20
      | ( ~ c1_1(a939)
        & ~ c3_1(a939)
        & ndr1_0
        & c0_1(a939) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) )
      | hskp9
      | hskp30 )
    & ( ~ hskp4
      | ( ~ c2_1(a905)
        & ~ c0_1(a905)
        & ndr1_0
        & c3_1(a905) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c3_1(X82)
            | c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | ~ c3_1(X83)
            | ~ c0_1(X83) ) )
      | hskp21 )
    & ( ( ~ c2_1(a937)
        & ~ c0_1(a937)
        & ndr1_0
        & c1_1(a937) )
      | ~ hskp18 )
    & ( hskp5
      | hskp26
      | hskp21 )
    & ( hskp16
      | hskp28
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c3_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | c1_1(X36)
            | c0_1(X36) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | c3_1(X34)
            | ~ c1_1(X34) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) )
      | hskp9 )
    & ( ~ hskp27
      | ( c2_1(a900)
        & ndr1_0
        & c3_1(a900)
        & c1_1(a900) ) )
    & ( hskp20
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c3_1(X12)
            | ~ c2_1(X12) ) )
      | hskp8 )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c2_1(a946)
        & ~ c3_1(a946)
        & ~ c0_1(a946) ) )
    & ( ( ndr1_0
        & c2_1(a926)
        & ~ c3_1(a926)
        & c1_1(a926) )
      | ~ hskp16 )
    & ( hskp20
      | hskp4
      | hskp14 )
    & ( ~ hskp26
      | ( c0_1(a979)
        & ~ c3_1(a979)
        & c1_1(a979)
        & ndr1_0 ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | c3_1(X33)
            | ~ c0_1(X33) ) )
      | hskp22
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | c1_1(X49) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | c3_1(X47)
            | ~ c0_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c0_1(X48)
            | ~ c2_1(X48) ) ) )
    & ( ~ hskp24
      | ( ~ c1_1(a959)
        & ~ c2_1(a959)
        & ndr1_0
        & ~ c0_1(a959) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c1_1(X64)
            | ~ c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | ~ c1_1(X65)
            | c2_1(X65) ) )
      | hskp27 )
    & ( hskp12
      | hskp13
      | hskp21 )
    & ( hskp18
      | ! [X0] :
          ( ndr1_0
         => ( c1_1(X0)
            | ~ c0_1(X0)
            | c2_1(X0) ) )
      | hskp19 )
    & ( hskp24
      | hskp30
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) ) )
    & ( ( ndr1_0
        & c1_1(a907)
        & ~ c2_1(a907)
        & c0_1(a907) )
      | ~ hskp6 )
    & ( hskp6
      | hskp14
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | c2_1(X87)
            | c3_1(X87) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c0_1(X23)
            | ~ c3_1(X23) ) )
      | hskp8 )
    & ( ~ hskp2
      | ( ~ c3_1(a903)
        & ndr1_0
        & c0_1(a903)
        & ~ c2_1(a903) ) )
    & ( hskp21
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c2_1(X10)
            | ~ c3_1(X10) ) )
      | hskp10 )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c0_1(X51)
            | ~ c3_1(X51) ) )
      | hskp13
      | hskp7 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | c3_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c1_1(X37)
            | ~ c2_1(X37) ) )
      | hskp16 )
    & ( hskp17
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | ~ c2_1(X60)
            | c3_1(X60) ) )
      | hskp30 )
    & ( ( c2_1(a902)
        & ndr1_0
        & ~ c1_1(a902)
        & c0_1(a902) )
      | ~ hskp1 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c0_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c2_1(X14)
            | c3_1(X14) ) ) )
    & ( ~ hskp0
      | ( ~ c1_1(a901)
        & ~ c0_1(a901)
        & ~ c3_1(a901)
        & ndr1_0 ) )
    & ( ~ hskp14
      | ( c3_1(a923)
        & ~ c0_1(a923)
        & ndr1_0
        & ~ c1_1(a923) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) )
      | hskp27
      | hskp11 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | ~ c0_1(X73)
            | c2_1(X73) ) )
      | hskp1
      | hskp23 )
    & ( hskp5
      | hskp7
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c2_1(X25)
            | ~ c3_1(X25) ) ) )
    & ( hskp1
      | hskp10
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | ~ c0_1(X63)
            | ~ c3_1(X63) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c0_1(X52)
            | c1_1(X52) ) )
      | hskp28 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) )
      | hskp9
      | hskp27 )
    & ( ( ~ c3_1(a906)
        & c0_1(a906)
        & ndr1_0
        & c2_1(a906) )
      | ~ hskp5 )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c3_1(X43)
            | ~ c1_1(X43) ) )
      | hskp15
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c0_1(X44)
            | ~ c2_1(X44) ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a954)
        & ~ c0_1(a954)
        & c1_1(a954) ) )
    & ( ~ hskp9
      | ( ~ c3_1(a910)
        & ndr1_0
        & ~ c1_1(a910)
        & c2_1(a910) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | hskp0
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( hskp11
          | hskp6
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c3_1(X84)
                | c0_1(X84) ) ) )
        & ( ( ~ c2_1(a914)
            & c3_1(a914)
            & ndr1_0
            & c0_1(a914) )
          | ~ hskp11 )
        & ( ~ hskp25
          | ( c0_1(a960)
            & ~ c1_1(a960)
            & c3_1(a960)
            & ndr1_0 ) )
        & ( hskp14
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) )
          | hskp7 )
        & ( ~ hskp8
          | ( ~ c0_1(a909)
            & ndr1_0
            & c1_1(a909)
            & ~ c3_1(a909) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c2_1(X42)
                | c3_1(X42) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a936)
            & ~ c2_1(a936)
            & ~ c3_1(a936) ) )
        & ( hskp27
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c3_1(X28)
                | ~ c0_1(X28) ) )
          | hskp13 )
        & ( ~ hskp29
          | ( ndr1_0
            & c3_1(a933)
            & c0_1(a933)
            & c2_1(a933) ) )
        & ( ~ hskp3
          | ( ~ c1_1(a904)
            & ~ c2_1(a904)
            & ndr1_0
            & c0_1(a904) ) )
        & ( ( c3_1(a949)
            & c2_1(a949)
            & ndr1_0
            & ~ c1_1(a949) )
          | ~ hskp22 )
        & ( hskp4
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c0_1(X39)
                | c1_1(X39) ) )
          | hskp3 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | ~ c2_1(X31)
                | c0_1(X31) ) )
          | hskp2
          | hskp0 )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a924)
            & ~ c1_1(a924)
            & c2_1(a924) ) )
        & ( ~ hskp13
          | ( ~ c3_1(a921)
            & ndr1_0
            & ~ c0_1(a921)
            & c2_1(a921) ) )
        & ( hskp5
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c0_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | ~ c3_1(X27)
                | ~ c2_1(X27) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c3_1(X54)
                | c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c0_1(X55)
                | c1_1(X55) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c3_1(X53)
                | ~ c0_1(X53) ) ) )
        & ( hskp10
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | hskp27 )
        & ( hskp23
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | ~ c2_1(X72)
                | ~ c3_1(X72) ) )
          | hskp15 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c3_1(X11)
                | ~ c0_1(X11) ) )
          | hskp7
          | hskp30 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c0_1(X1) ) )
          | hskp9
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c3_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c2_1(X77)
                | c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | c2_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c0_1(X56)
                | ~ c2_1(X56) ) )
          | hskp0 )
        & ( hskp5
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c0_1(X59)
                | c1_1(X59) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp21
          | hskp25 )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c3_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c3_1(X75) ) ) )
        & ( ( c0_1(a916)
            & c3_1(a916)
            & c1_1(a916)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ndr1_0
            & c2_1(a938)
            & ~ c0_1(a938)
            & c3_1(a938) )
          | ~ hskp19 )
        & ( hskp27
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c3_1(X19)
                | c0_1(X19) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c0_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c1_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ( c3_1(a917)
            & c1_1(a917)
            & ndr1_0
            & ~ c2_1(a917) )
          | ~ hskp12 )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c3_1(X9)
                | ~ c1_1(X9) ) )
          | hskp11
          | hskp12 )
        & ( ( c2_1(a912)
            & c1_1(a912)
            & ~ c0_1(a912)
            & ndr1_0 )
          | ~ hskp10 )
        & ( hskp25
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | ~ c1_1(X70) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c0_1(X7)
                | c3_1(X7) ) )
          | hskp28
          | hskp12 )
        & ( hskp0
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | c1_1(X62)
                | c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) ) )
        & ( hskp6
          | hskp7
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c3_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | hskp3
          | hskp13 )
        & ( ~ hskp7
          | ( ~ c3_1(a908)
            & ndr1_0
            & ~ c2_1(a908)
            & c1_1(a908) ) )
        & ( ( c2_1(a942)
            & ndr1_0
            & c0_1(a942)
            & c1_1(a942) )
          | ~ hskp30 )
        & ( hskp1
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | ~ c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | ~ c0_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) )
          | hskp1
          | hskp2 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c2_1(X45)
                | ~ c0_1(X45) ) )
          | hskp15
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c3_1(X46)
                | ~ c0_1(X46) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp20
          | hskp18 )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c0_1(X3)
                | c1_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | ~ c0_1(X4) ) )
          | hskp29 )
        & ( hskp12
          | hskp17
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( ~ hskp20
          | ( ~ c1_1(a939)
            & ~ c3_1(a939)
            & ndr1_0
            & c0_1(a939) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | hskp9
          | hskp30 )
        & ( ~ hskp4
          | ( ~ c2_1(a905)
            & ~ c0_1(a905)
            & ndr1_0
            & c3_1(a905) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c3_1(X83)
                | ~ c0_1(X83) ) )
          | hskp21 )
        & ( ( ~ c2_1(a937)
            & ~ c0_1(a937)
            & ndr1_0
            & c1_1(a937) )
          | ~ hskp18 )
        & ( hskp5
          | hskp26
          | hskp21 )
        & ( hskp16
          | hskp28
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c3_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c1_1(X36)
                | c0_1(X36) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | c3_1(X34)
                | ~ c1_1(X34) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) )
          | hskp9 )
        & ( ~ hskp27
          | ( c2_1(a900)
            & ndr1_0
            & c3_1(a900)
            & c1_1(a900) ) )
        & ( hskp20
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | ~ c2_1(X12) ) )
          | hskp8 )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c2_1(a946)
            & ~ c3_1(a946)
            & ~ c0_1(a946) ) )
        & ( ( ndr1_0
            & c2_1(a926)
            & ~ c3_1(a926)
            & c1_1(a926) )
          | ~ hskp16 )
        & ( hskp20
          | hskp4
          | hskp14 )
        & ( ~ hskp26
          | ( c0_1(a979)
            & ~ c3_1(a979)
            & c1_1(a979)
            & ndr1_0 ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | c3_1(X33)
                | ~ c0_1(X33) ) )
          | hskp22
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | c3_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c0_1(X48)
                | ~ c2_1(X48) ) ) )
        & ( ~ hskp24
          | ( ~ c1_1(a959)
            & ~ c2_1(a959)
            & ndr1_0
            & ~ c0_1(a959) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c1_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c1_1(X65)
                | c2_1(X65) ) )
          | hskp27 )
        & ( hskp12
          | hskp13
          | hskp21 )
        & ( hskp18
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | ~ c0_1(X0)
                | c2_1(X0) ) )
          | hskp19 )
        & ( hskp24
          | hskp30
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) ) )
        & ( ( ndr1_0
            & c1_1(a907)
            & ~ c2_1(a907)
            & c0_1(a907) )
          | ~ hskp6 )
        & ( hskp6
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c2_1(X87)
                | c3_1(X87) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c0_1(X23)
                | ~ c3_1(X23) ) )
          | hskp8 )
        & ( ~ hskp2
          | ( ~ c3_1(a903)
            & ndr1_0
            & c0_1(a903)
            & ~ c2_1(a903) ) )
        & ( hskp21
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c2_1(X10)
                | ~ c3_1(X10) ) )
          | hskp10 )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c0_1(X51)
                | ~ c3_1(X51) ) )
          | hskp13
          | hskp7 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | c3_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | ~ c2_1(X37) ) )
          | hskp16 )
        & ( hskp17
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c2_1(X60)
                | c3_1(X60) ) )
          | hskp30 )
        & ( ( c2_1(a902)
            & ndr1_0
            & ~ c1_1(a902)
            & c0_1(a902) )
          | ~ hskp1 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c0_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c2_1(X14)
                | c3_1(X14) ) ) )
        & ( ~ hskp0
          | ( ~ c1_1(a901)
            & ~ c0_1(a901)
            & ~ c3_1(a901)
            & ndr1_0 ) )
        & ( ~ hskp14
          | ( c3_1(a923)
            & ~ c0_1(a923)
            & ndr1_0
            & ~ c1_1(a923) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) )
          | hskp27
          | hskp11 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | hskp1
          | hskp23 )
        & ( hskp5
          | hskp7
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c2_1(X25)
                | ~ c3_1(X25) ) ) )
        & ( hskp1
          | hskp10
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c0_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | hskp28 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | hskp9
          | hskp27 )
        & ( ( ~ c3_1(a906)
            & c0_1(a906)
            & ndr1_0
            & c2_1(a906) )
          | ~ hskp5 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c3_1(X43)
                | ~ c1_1(X43) ) )
          | hskp15
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c0_1(X44)
                | ~ c2_1(X44) ) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a954)
            & ~ c0_1(a954)
            & c1_1(a954) ) )
        & ( ~ hskp9
          | ( ~ c3_1(a910)
            & ndr1_0
            & ~ c1_1(a910)
            & c2_1(a910) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp19
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | hskp18 )
        & ( hskp9
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | ~ c0_1(X53) ) ) )
        & ( ~ hskp2
          | ( ~ c3_1(a903)
            & ndr1_0
            & c0_1(a903)
            & ~ c2_1(a903) ) )
        & ( hskp29
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c3_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | c1_1(X45)
                | ~ c0_1(X45) ) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a936)
            & ~ c2_1(a936)
            & ~ c3_1(a936) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | ~ c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | hskp1 )
        & ( ( c2_1(a942)
            & ndr1_0
            & c0_1(a942)
            & c1_1(a942) )
          | ~ hskp30 )
        & ( ~ hskp13
          | ( ~ c3_1(a921)
            & ndr1_0
            & ~ c0_1(a921)
            & c2_1(a921) ) )
        & ( ( c3_1(a917)
            & c1_1(a917)
            & ndr1_0
            & ~ c2_1(a917) )
          | ~ hskp12 )
        & ( ( c3_1(a949)
            & c2_1(a949)
            & ndr1_0
            & ~ c1_1(a949) )
          | ~ hskp22 )
        & ( hskp28
          | hskp12
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) )
          | hskp27
          | hskp10 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c1_1(X89) ) )
          | hskp12
          | hskp11 )
        & ( ( ~ c2_1(a937)
            & ~ c0_1(a937)
            & ndr1_0
            & c1_1(a937) )
          | ~ hskp18 )
        & ( hskp21
          | hskp10
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c3_1(X84)
                | c2_1(X84) ) ) )
        & ( ( c0_1(a916)
            & c3_1(a916)
            & c1_1(a916)
            & ndr1_0 )
          | ~ hskp28 )
        & ( hskp7
          | hskp30
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c1_1(X54) ) ) )
        & ( ~ hskp9
          | ( ~ c3_1(a910)
            & ndr1_0
            & ~ c1_1(a910)
            & c2_1(a910) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | ~ c1_1(X87) ) )
          | hskp20
          | hskp8 )
        & ( hskp7
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | hskp14 )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a924)
            & ~ c1_1(a924)
            & c2_1(a924) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c2_1(X16)
                | c3_1(X16) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | c3_1(X14)
                | c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c0_1(X15)
                | c3_1(X15) ) ) )
        & ( hskp9
          | hskp30
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c3_1(X77)
                | ~ c1_1(X77) ) ) )
        & ( hskp11
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) ) )
        & ( hskp20
          | hskp4
          | hskp14 )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c2_1(a946)
            & ~ c3_1(a946)
            & ~ c0_1(a946) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c0_1(X7)
                | ~ c1_1(X7) ) )
          | hskp27
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp3
          | hskp13
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c2_1(X37)
                | ~ c1_1(X37) ) ) )
        & ( ~ hskp3
          | ( ~ c1_1(a904)
            & ~ c2_1(a904)
            & ndr1_0
            & c0_1(a904) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp20
          | hskp18 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c3_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | hskp8 )
        & ( hskp7
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | hskp5 )
        & ( hskp5
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c0_1(X31)
                | ~ c3_1(X31) ) ) )
        & ( ( c2_1(a902)
            & ndr1_0
            & ~ c1_1(a902)
            & c0_1(a902) )
          | ~ hskp1 )
        & ( hskp13
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | hskp27 )
        & ( ~ hskp25
          | ( c0_1(a960)
            & ~ c1_1(a960)
            & c3_1(a960)
            & ndr1_0 ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | hskp0
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | ~ c1_1(X67) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c0_1(X33)
                | c3_1(X33) ) )
          | hskp0
          | hskp2 )
        & ( ~ hskp8
          | ( ~ c0_1(a909)
            & ndr1_0
            & c1_1(a909)
            & ~ c3_1(a909) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c3_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | hskp22 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c2_1(X12)
                | c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ( ndr1_0
            & c2_1(a926)
            & ~ c3_1(a926)
            & c1_1(a926) )
          | ~ hskp16 )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c3_1(X76)
                | ~ c2_1(X76) ) )
          | hskp16
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c0_1(X20)
                | ~ c2_1(X20) ) )
          | hskp3
          | hskp4 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | c0_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c1_1(X40) ) )
          | hskp15
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c3_1(X39)
                | ~ c2_1(X39) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c1_1(X48)
                | ~ c3_1(X48) ) )
          | hskp15 )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c0_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) ) )
        & ( hskp6
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c3_1(X23)
                | c1_1(X23) ) )
          | hskp7 )
        & ( hskp13
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c3_1(X42)
                | ~ c2_1(X42) ) )
          | hskp7 )
        & ( hskp28
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c0_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c3_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c0_1(X1)
                | c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c2_1(X57)
                | c1_1(X57) ) )
          | hskp0
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c1_1(X58)
                | ~ c0_1(X58) ) ) )
        & ( ( ndr1_0
            & c2_1(a938)
            & ~ c0_1(a938)
            & c3_1(a938) )
          | ~ hskp19 )
        & ( hskp5
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c3_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp17
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | ~ c2_1(X86) ) )
          | hskp30 )
        & ( hskp0
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | ~ c0_1(X9)
                | ~ c3_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | c1_1(X8) ) ) )
        & ( hskp10
          | hskp1
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) ) )
        & ( hskp27
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c2_1(X56)
                | c3_1(X56) ) ) )
        & ( ~ hskp4
          | ( ~ c2_1(a905)
            & ~ c0_1(a905)
            & ndr1_0
            & c3_1(a905) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c1_1(X72)
                | c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c2_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) ) )
        & ( ~ hskp26
          | ( c0_1(a979)
            & ~ c3_1(a979)
            & c1_1(a979)
            & ndr1_0 ) )
        & ( ~ hskp20
          | ( ~ c1_1(a939)
            & ~ c3_1(a939)
            & ndr1_0
            & c0_1(a939) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) )
          | hskp24
          | hskp30 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c1_1(X80)
                | c3_1(X80) ) )
          | hskp25
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c3_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp23
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp15 )
        & ( ~ hskp27
          | ( c2_1(a900)
            & ndr1_0
            & c3_1(a900)
            & c1_1(a900) ) )
        & ( ( ndr1_0
            & c1_1(a907)
            & ~ c2_1(a907)
            & c0_1(a907) )
          | ~ hskp6 )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a954)
            & ~ c0_1(a954)
            & c1_1(a954) ) )
        & ( ( ~ c2_1(a914)
            & c3_1(a914)
            & ndr1_0
            & c0_1(a914) )
          | ~ hskp11 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) )
          | hskp23
          | hskp1 )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c3_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) ) )
        & ( ~ hskp24
          | ( ~ c1_1(a959)
            & ~ c2_1(a959)
            & ndr1_0
            & ~ c0_1(a959) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | c0_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) ) )
        & ( hskp27
          | hskp9
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c2_1(X44)
                | c3_1(X44) ) ) )
        & ( ( c2_1(a912)
            & c1_1(a912)
            & ~ c0_1(a912)
            & ndr1_0 )
          | ~ hskp10 )
        & ( hskp9
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c0_1(X26)
                | c2_1(X26) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | ~ c3_1(X59) ) )
          | hskp21 )
        & ( hskp12
          | hskp13
          | hskp21 )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c1_1(X29)
                | c3_1(X29) ) )
          | hskp11 )
        & ( hskp5
          | hskp26
          | hskp21 )
        & ( ~ hskp29
          | ( ndr1_0
            & c3_1(a933)
            & c0_1(a933)
            & c2_1(a933) ) )
        & ( hskp12
          | hskp17
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) ) )
        & ( hskp1
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | c1_1(X13) ) )
          | hskp2 )
        & ( ~ hskp0
          | ( ~ c1_1(a901)
            & ~ c0_1(a901)
            & ~ c3_1(a901)
            & ndr1_0 ) )
        & ( hskp6
          | hskp14
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) ) )
        & ( ~ hskp7
          | ( ~ c3_1(a908)
            & ndr1_0
            & ~ c2_1(a908)
            & c1_1(a908) ) )
        & ( hskp16
          | hskp28
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ( ~ c3_1(a906)
            & c0_1(a906)
            & ndr1_0
            & c2_1(a906) )
          | ~ hskp5 )
        & ( ~ hskp14
          | ( c3_1(a923)
            & ~ c0_1(a923)
            & ndr1_0
            & ~ c1_1(a923) ) )
        & ( hskp25
          | hskp21
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c3_1(X83)
                | ~ c1_1(X83) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp19
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | hskp18 )
      & ( hskp9
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | ~ c0_1(X52)
              | c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | ~ c0_1(X53) ) ) )
      & ( ~ hskp2
        | ( ~ c3_1(a903)
          & ndr1_0
          & c0_1(a903)
          & ~ c2_1(a903) ) )
      & ( hskp29
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c3_1(X46)
              | ~ c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | c1_1(X45)
              | ~ c0_1(X45) ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c1_1(a936)
          & ~ c2_1(a936)
          & ~ c3_1(a936) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c0_1(X62)
              | ~ c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | ~ c0_1(X61)
              | ~ c3_1(X61) ) )
        | hskp1 )
      & ( ( c2_1(a942)
          & ndr1_0
          & c0_1(a942)
          & c1_1(a942) )
        | ~ hskp30 )
      & ( ~ hskp13
        | ( ~ c3_1(a921)
          & ndr1_0
          & ~ c0_1(a921)
          & c2_1(a921) ) )
      & ( ( c3_1(a917)
          & c1_1(a917)
          & ndr1_0
          & ~ c2_1(a917) )
        | ~ hskp12 )
      & ( ( c3_1(a949)
          & c2_1(a949)
          & ndr1_0
          & ~ c1_1(a949) )
        | ~ hskp22 )
      & ( hskp28
        | hskp12
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c3_1(X28)
              | c2_1(X28) ) )
        | hskp27
        | hskp10 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c1_1(X89) ) )
        | hskp12
        | hskp11 )
      & ( ( ~ c2_1(a937)
          & ~ c0_1(a937)
          & ndr1_0
          & c1_1(a937) )
        | ~ hskp18 )
      & ( hskp21
        | hskp10
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c3_1(X84)
              | c2_1(X84) ) ) )
      & ( ( c0_1(a916)
          & c3_1(a916)
          & c1_1(a916)
          & ndr1_0 )
        | ~ hskp28 )
      & ( hskp7
        | hskp30
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c3_1(X54)
              | c1_1(X54) ) ) )
      & ( ~ hskp9
        | ( ~ c3_1(a910)
          & ndr1_0
          & ~ c1_1(a910)
          & c2_1(a910) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c3_1(X87)
              | ~ c1_1(X87) ) )
        | hskp20
        | hskp8 )
      & ( hskp7
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | hskp14 )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a924)
          & ~ c1_1(a924)
          & c2_1(a924) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c2_1(X16)
              | c3_1(X16) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | c3_1(X14)
              | c0_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c0_1(X15)
              | c3_1(X15) ) ) )
      & ( hskp9
        | hskp30
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c3_1(X77)
              | ~ c1_1(X77) ) ) )
      & ( hskp11
        | hskp27
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c2_1(X43)
              | c3_1(X43) ) ) )
      & ( hskp20
        | hskp4
        | hskp14 )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c2_1(a946)
          & ~ c3_1(a946)
          & ~ c0_1(a946) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c0_1(X7)
              | ~ c1_1(X7) ) )
        | hskp27
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c2_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp3
        | hskp13
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c2_1(X37)
              | ~ c1_1(X37) ) ) )
      & ( ~ hskp3
        | ( ~ c1_1(a904)
          & ~ c2_1(a904)
          & ndr1_0
          & c0_1(a904) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp20
        | hskp18 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c3_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | hskp8 )
      & ( hskp7
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | hskp5 )
      & ( hskp5
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c2_1(X31)
              | c0_1(X31)
              | ~ c3_1(X31) ) ) )
      & ( ( c2_1(a902)
          & ndr1_0
          & ~ c1_1(a902)
          & c0_1(a902) )
        | ~ hskp1 )
      & ( hskp13
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c1_1(X85)
              | c3_1(X85) ) )
        | hskp27 )
      & ( ~ hskp25
        | ( c0_1(a960)
          & ~ c1_1(a960)
          & c3_1(a960)
          & ndr1_0 ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | hskp0
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | ~ c1_1(X67) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c0_1(X33)
              | c3_1(X33) ) )
        | hskp0
        | hskp2 )
      & ( ~ hskp8
        | ( ~ c0_1(a909)
          & ndr1_0
          & c1_1(a909)
          & ~ c3_1(a909) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c3_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c3_1(X64) ) )
        | hskp22 )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | ~ c2_1(X12)
              | c3_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c2_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ( ndr1_0
          & c2_1(a926)
          & ~ c3_1(a926)
          & c1_1(a926) )
        | ~ hskp16 )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c1_1(X76)
              | ~ c3_1(X76)
              | ~ c2_1(X76) ) )
        | hskp16
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c0_1(X20)
              | ~ c2_1(X20) ) )
        | hskp3
        | hskp4 )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | c0_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | c3_1(X35)
              | c1_1(X35) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | ~ c1_1(X40) ) )
        | hskp15
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c3_1(X39)
              | ~ c2_1(X39) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | ~ c0_1(X47)
              | c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c1_1(X48)
              | ~ c3_1(X48) ) )
        | hskp15 )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c0_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) ) )
      & ( hskp6
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c3_1(X23)
              | c1_1(X23) ) )
        | hskp7 )
      & ( hskp13
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c3_1(X42)
              | ~ c2_1(X42) ) )
        | hskp7 )
      & ( hskp28
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c0_1(X63)
              | ~ c3_1(X63) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | ~ c3_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c0_1(X1)
              | c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c2_1(X57)
              | c1_1(X57) ) )
        | hskp0
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c1_1(X58)
              | ~ c0_1(X58) ) ) )
      & ( ( ndr1_0
          & c2_1(a938)
          & ~ c0_1(a938)
          & c3_1(a938) )
        | ~ hskp19 )
      & ( hskp5
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | ~ c3_1(X22)
              | ~ c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c0_1(X21)
              | c1_1(X21) ) ) )
      & ( hskp17
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | ~ c2_1(X86) ) )
        | hskp30 )
      & ( hskp0
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | ~ c0_1(X9)
              | ~ c3_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c2_1(X8)
              | c1_1(X8) ) ) )
      & ( hskp10
        | hskp1
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) ) )
      & ( hskp27
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c2_1(X55)
              | c1_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | c2_1(X56)
              | c3_1(X56) ) ) )
      & ( ~ hskp4
        | ( ~ c2_1(a905)
          & ~ c0_1(a905)
          & ndr1_0
          & c3_1(a905) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | ~ c1_1(X72)
              | c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c2_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | ~ c0_1(X74) ) ) )
      & ( ~ hskp26
        | ( c0_1(a979)
          & ~ c3_1(a979)
          & c1_1(a979)
          & ndr1_0 ) )
      & ( ~ hskp20
        | ( ~ c1_1(a939)
          & ~ c3_1(a939)
          & ndr1_0
          & c0_1(a939) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c0_1(X78)
              | ~ c1_1(X78) ) )
        | hskp24
        | hskp30 )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c1_1(X80)
              | c3_1(X80) ) )
        | hskp25
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c3_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp23
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | ~ c3_1(X88) ) )
        | hskp15 )
      & ( ~ hskp27
        | ( c2_1(a900)
          & ndr1_0
          & c3_1(a900)
          & c1_1(a900) ) )
      & ( ( ndr1_0
          & c1_1(a907)
          & ~ c2_1(a907)
          & c0_1(a907) )
        | ~ hskp6 )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a954)
          & ~ c0_1(a954)
          & c1_1(a954) ) )
      & ( ( ~ c2_1(a914)
          & c3_1(a914)
          & ndr1_0
          & c0_1(a914) )
        | ~ hskp11 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c3_1(X69)
              | ~ c0_1(X69) ) )
        | hskp23
        | hskp1 )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c3_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) ) )
      & ( ~ hskp24
        | ( ~ c1_1(a959)
          & ~ c2_1(a959)
          & ndr1_0
          & ~ c0_1(a959) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | c0_1(X4)
              | c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) ) )
      & ( hskp27
        | hskp9
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c2_1(X44)
              | c3_1(X44) ) ) )
      & ( ( c2_1(a912)
          & c1_1(a912)
          & ~ c0_1(a912)
          & ndr1_0 )
        | ~ hskp10 )
      & ( hskp9
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c0_1(X27)
              | c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c0_1(X26)
              | c2_1(X26) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c0_1(X59)
              | ~ c3_1(X59) ) )
        | hskp21 )
      & ( hskp12
        | hskp13
        | hskp21 )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c1_1(X29)
              | c3_1(X29) ) )
        | hskp11 )
      & ( hskp5
        | hskp26
        | hskp21 )
      & ( ~ hskp29
        | ( ndr1_0
          & c3_1(a933)
          & c0_1(a933)
          & c2_1(a933) ) )
      & ( hskp12
        | hskp17
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) ) )
      & ( hskp1
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c2_1(X13)
              | c1_1(X13) ) )
        | hskp2 )
      & ( ~ hskp0
        | ( ~ c1_1(a901)
          & ~ c0_1(a901)
          & ~ c3_1(a901)
          & ndr1_0 ) )
      & ( hskp6
        | hskp14
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | ~ c0_1(X68)
              | c2_1(X68) ) ) )
      & ( ~ hskp7
        | ( ~ c3_1(a908)
          & ndr1_0
          & ~ c2_1(a908)
          & c1_1(a908) ) )
      & ( hskp16
        | hskp28
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | ~ c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ( ~ c3_1(a906)
          & c0_1(a906)
          & ndr1_0
          & c2_1(a906) )
        | ~ hskp5 )
      & ( ~ hskp14
        | ( c3_1(a923)
          & ~ c0_1(a923)
          & ndr1_0
          & ~ c1_1(a923) ) )
      & ( hskp25
        | hskp21
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c3_1(X83)
              | ~ c1_1(X83) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f973,plain,
    ( ~ spl0_77
    | spl0_152 ),
    inference(avatar_split_clause,[],[f38,f970,f565]) ).

fof(f565,plain,
    ( spl0_77
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f38,plain,
    ( c3_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f968,plain,
    ( spl0_71
    | ~ spl0_1
    | spl0_40
    | spl0_63 ),
    inference(avatar_split_clause,[],[f175,f494,f385,f219,f534]) ).

fof(f534,plain,
    ( spl0_71
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f219,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f385,plain,
    ( spl0_40
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f175,plain,
    ! [X6] :
      ( c2_1(X6)
      | ~ c0_1(X6)
      | hskp14
      | ~ ndr1_0
      | hskp6
      | c3_1(X6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f957,plain,
    ( spl0_99
    | spl0_13
    | ~ spl0_1
    | spl0_71 ),
    inference(avatar_split_clause,[],[f145,f534,f219,f268,f675]) ).

fof(f145,plain,
    ! [X27] :
      ( hskp6
      | ~ ndr1_0
      | c1_1(X27)
      | c0_1(X27)
      | hskp7
      | ~ c3_1(X27) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f951,plain,
    ( spl0_40
    | spl0_99
    | ~ spl0_1
    | spl0_111 ),
    inference(avatar_split_clause,[],[f128,f742,f219,f675,f385]) ).

fof(f128,plain,
    ! [X35] :
      ( c0_1(X35)
      | ~ c1_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | hskp7
      | hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f945,plain,
    ( ~ spl0_54
    | spl0_147 ),
    inference(avatar_split_clause,[],[f59,f942,f450]) ).

fof(f450,plain,
    ( spl0_54
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f59,plain,
    ( c2_1(a926)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f939,plain,
    ( ~ spl0_146
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f133,f529,f936]) ).

fof(f529,plain,
    ( spl0_70
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f133,plain,
    ( ~ hskp2
    | ~ c2_1(a903) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f933,plain,
    ( ~ spl0_145
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f160,f294,f930]) ).

fof(f294,plain,
    ( spl0_19
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f160,plain,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f928,plain,
    ( ~ spl0_20
    | spl0_1 ),
    inference(avatar_split_clause,[],[f119,f219,f299]) ).

fof(f299,plain,
    ( spl0_20
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f119,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f916,plain,
    ( ~ spl0_29
    | spl0_142 ),
    inference(avatar_split_clause,[],[f153,f913,f340]) ).

fof(f340,plain,
    ( spl0_29
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f153,plain,
    ( c2_1(a924)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f910,plain,
    ( spl0_141
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f67,f349,f907]) ).

fof(f349,plain,
    ( spl0_31
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f67,plain,
    ( ~ hskp23
    | c3_1(a954) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f905,plain,
    ( ~ spl0_140
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f78,f223,f902]) ).

fof(f223,plain,
    ( spl0_2
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f78,plain,
    ( ~ hskp8
    | ~ c3_1(a909) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f900,plain,
    ( spl0_125
    | ~ spl0_1
    | spl0_93
    | spl0_68 ),
    inference(avatar_split_clause,[],[f196,f521,f643,f219,f826]) ).

fof(f196,plain,
    ! [X82,X80,X81] :
      ( ~ c2_1(X82)
      | c2_1(X81)
      | c1_1(X81)
      | c3_1(X82)
      | ~ ndr1_0
      | c0_1(X81)
      | c1_1(X80)
      | ~ c0_1(X80)
      | c3_1(X80)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ! [X82,X80,X81] :
      ( c0_1(X82)
      | c3_1(X82)
      | c2_1(X81)
      | ~ ndr1_0
      | c1_1(X80)
      | c0_1(X81)
      | ~ c2_1(X82)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | c3_1(X80)
      | ~ ndr1_0
      | c1_1(X81) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f894,plain,
    ( spl0_138
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f147,f432,f891]) ).

fof(f432,plain,
    ( spl0_50
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f147,plain,
    ( ~ hskp27
    | c1_1(a900) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f888,plain,
    ( ~ spl0_2
    | spl0_137 ),
    inference(avatar_split_clause,[],[f79,f885,f223]) ).

fof(f79,plain,
    ( c1_1(a909)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f883,plain,
    ( spl0_111
    | spl0_136
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f197,f308,f219,f881,f742]) ).

fof(f197,plain,
    ! [X31,X29,X30] :
      ( ~ c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X31)
      | ~ c2_1(X30)
      | c1_1(X31)
      | c2_1(X29)
      | c0_1(X30)
      | ~ c1_1(X30)
      | ~ c1_1(X29)
      | c3_1(X31) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X31,X29,X30] :
      ( c3_1(X31)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X30)
      | c1_1(X31)
      | ~ c2_1(X31)
      | ~ ndr1_0
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ c1_1(X29)
      | c2_1(X29)
      | ~ c3_1(X29) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f877,plain,
    ( ~ spl0_135
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f115,f534,f874]) ).

fof(f115,plain,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f872,plain,
    ( spl0_40
    | spl0_20
    | spl0_77 ),
    inference(avatar_split_clause,[],[f95,f565,f299,f385]) ).

fof(f95,plain,
    ( hskp4
    | hskp20
    | hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f867,plain,
    ( ~ spl0_47
    | spl0_133 ),
    inference(avatar_split_clause,[],[f33,f864,f417]) ).

fof(f417,plain,
    ( spl0_47
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f33,plain,
    ( c0_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f862,plain,
    ( ~ spl0_18
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f14,f859,f290]) ).

fof(f290,plain,
    ( spl0_18
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f14,plain,
    ( ~ c2_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f842,plain,
    ( ~ spl0_128
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f37,f675,f839]) ).

fof(f37,plain,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f837,plain,
    ( spl0_29
    | spl0_31
    | spl0_127
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f219,f835,f349,f340]) ).

fof(f190,plain,
    ! [X2] :
      ( ~ ndr1_0
      | ~ c3_1(X2)
      | hskp23
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f828,plain,
    ( ~ spl0_1
    | spl0_99
    | spl0_27
    | spl0_125 ),
    inference(avatar_split_clause,[],[f75,f826,f330,f675,f219]) ).

fof(f330,plain,
    ( spl0_27
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f75,plain,
    ! [X57] :
      ( ~ c0_1(X57)
      | c3_1(X57)
      | hskp30
      | hskp7
      | c1_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f818,plain,
    ( ~ spl0_123
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f127,f261,f815]) ).

fof(f261,plain,
    ( spl0_11
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f127,plain,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f806,plain,
    ( ~ spl0_71
    | spl0_121 ),
    inference(avatar_split_clause,[],[f114,f803,f534]) ).

fof(f114,plain,
    ( c0_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f799,plain,
    ( spl0_47
    | ~ spl0_1
    | spl0_60 ),
    inference(avatar_split_clause,[],[f123,f480,f219,f417]) ).

fof(f123,plain,
    ! [X36] :
      ( c1_1(X36)
      | ~ c3_1(X36)
      | ~ c0_1(X36)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f798,plain,
    ( spl0_12
    | ~ spl0_1
    | spl0_19
    | spl0_7 ),
    inference(avatar_split_clause,[],[f97,f243,f294,f219,f265]) ).

fof(f243,plain,
    ( spl0_7
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f97,plain,
    ! [X49] :
      ( hskp11
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X49)
      | ~ c3_1(X49)
      | ~ c1_1(X49) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f797,plain,
    ( ~ spl0_99
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f35,f794,f675]) ).

fof(f35,plain,
    ( ~ c2_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f792,plain,
    ( ~ spl0_11
    | spl0_119 ),
    inference(avatar_split_clause,[],[f124,f789,f261]) ).

fof(f124,plain,
    ( c2_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f778,plain,
    ( spl0_99
    | spl0_61
    | ~ spl0_1
    | spl0_14 ),
    inference(avatar_split_clause,[],[f151,f272,f219,f484,f675]) ).

fof(f272,plain,
    ( spl0_14
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f151,plain,
    ! [X25] :
      ( hskp13
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c0_1(X25)
      | hskp7
      | ~ c3_1(X25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f777,plain,
    ( spl0_38
    | ~ spl0_1
    | spl0_29
    | spl0_80 ),
    inference(avatar_split_clause,[],[f202,f579,f340,f219,f378]) ).

fof(f202,plain,
    ! [X4,X5] :
      ( c1_1(X4)
      | hskp15
      | ~ ndr1_0
      | ~ c0_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X4)
      | ~ c3_1(X5)
      | c2_1(X4) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X4,X5] :
      ( hskp15
      | ~ c0_1(X4)
      | ~ c0_1(X5)
      | c2_1(X4)
      | ~ ndr1_0
      | ~ c1_1(X5)
      | ~ ndr1_0
      | ~ c3_1(X5)
      | c1_1(X4) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f776,plain,
    ( ~ spl0_20
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f121,f773,f299]) ).

fof(f121,plain,
    ( ~ c1_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f766,plain,
    ( ~ spl0_115
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f171,f511,f763]) ).

fof(f511,plain,
    ( spl0_66
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f171,plain,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f761,plain,
    ( ~ spl0_18
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f12,f758,f290]) ).

fof(f12,plain,
    ( ~ c0_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f733,plain,
    ( ~ spl0_77
    | spl0_1 ),
    inference(avatar_split_clause,[],[f39,f219,f565]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f732,plain,
    ( ~ spl0_14
    | spl0_109 ),
    inference(avatar_split_clause,[],[f176,f729,f272]) ).

fof(f176,plain,
    ( c2_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f726,plain,
    ( ~ spl0_2
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f81,f723,f223]) ).

fof(f81,plain,
    ( ~ c0_1(a909)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f720,plain,
    ( ~ spl0_107
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f132,f243,f717]) ).

fof(f132,plain,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f715,plain,
    ( ~ spl0_18
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f13,f712,f290]) ).

fof(f13,plain,
    ( ~ c3_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f710,plain,
    ( ~ spl0_40
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f49,f707,f385]) ).

fof(f49,plain,
    ( ~ c0_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f705,plain,
    ( spl0_104
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f116,f534,f702]) ).

fof(f116,plain,
    ( ~ hskp6
    | c1_1(a907) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f700,plain,
    ( spl0_103
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f32,f417,f697]) ).

fof(f32,plain,
    ( ~ hskp28
    | c3_1(a916) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f695,plain,
    ( spl0_102
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f73,f252,f692]) ).

fof(f252,plain,
    ( spl0_9
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f73,plain,
    ( ~ hskp10
    | c2_1(a912) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f690,plain,
    ( ~ spl0_19
    | spl0_101 ),
    inference(avatar_split_clause,[],[f162,f687,f294]) ).

fof(f162,plain,
    ( c1_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f678,plain,
    ( ~ spl0_1
    | spl0_11
    | spl0_99
    | spl0_33 ),
    inference(avatar_split_clause,[],[f152,f357,f675,f261,f219]) ).

fof(f152,plain,
    ! [X24] :
      ( ~ c0_1(X24)
      | ~ c3_1(X24)
      | hskp7
      | hskp5
      | ~ ndr1_0
      | c2_1(X24) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f668,plain,
    ( ~ spl0_97
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f58,f450,f665]) ).

fof(f58,plain,
    ( ~ hskp16
    | ~ c3_1(a926) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f663,plain,
    ( spl0_1
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f48,f385,f219]) ).

fof(f48,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f661,plain,
    ( spl0_96
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f134,f529,f658]) ).

fof(f134,plain,
    ( ~ hskp2
    | c0_1(a903) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f656,plain,
    ( ~ spl0_1
    | spl0_66
    | spl0_70
    | spl0_68 ),
    inference(avatar_split_clause,[],[f18,f521,f529,f511,f219]) ).

fof(f18,plain,
    ! [X77] :
      ( c0_1(X77)
      | hskp2
      | ~ c2_1(X77)
      | hskp0
      | c3_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f650,plain,
    ( spl0_94
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f150,f432,f647]) ).

fof(f150,plain,
    ( ~ hskp27
    | c2_1(a900) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f645,plain,
    ( spl0_92
    | spl0_39
    | spl0_93
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f207,f219,f643,f381,f640]) ).

fof(f207,plain,
    ! [X48,X46,X47] :
      ( ~ ndr1_0
      | c0_1(X48)
      | c3_1(X46)
      | c2_1(X48)
      | ~ c0_1(X46)
      | c3_1(X47)
      | ~ c2_1(X46)
      | c1_1(X48)
      | ~ c1_1(X47)
      | ~ c2_1(X47) ),
    inference(duplicate_literal_removal,[],[f98]) ).

fof(f98,plain,
    ! [X48,X46,X47] :
      ( ~ ndr1_0
      | ~ c0_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | c2_1(X48)
      | c0_1(X48)
      | ~ ndr1_0
      | c3_1(X47)
      | ~ c1_1(X47)
      | c1_1(X48)
      | c3_1(X46)
      | ~ c2_1(X47) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f638,plain,
    ( spl0_91
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f131,f243,f635]) ).

fof(f131,plain,
    ( ~ hskp11
    | c3_1(a914) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f619,plain,
    ( ~ spl0_19
    | spl0_87 ),
    inference(avatar_split_clause,[],[f163,f616,f294]) ).

fof(f163,plain,
    ( c3_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f614,plain,
    ( ~ spl0_1
    | spl0_63
    | spl0_86
    | spl0_3 ),
    inference(avatar_split_clause,[],[f208,f227,f612,f494,f219]) ).

fof(f208,plain,
    ! [X21,X22,X20] :
      ( c0_1(X21)
      | c3_1(X22)
      | ~ c0_1(X20)
      | c2_1(X20)
      | c2_1(X21)
      | c0_1(X22)
      | ~ ndr1_0
      | c3_1(X20)
      | c3_1(X21)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X21,X22,X20] :
      ( ~ ndr1_0
      | c2_1(X21)
      | c2_1(X20)
      | c3_1(X20)
      | c0_1(X21)
      | c3_1(X22)
      | c0_1(X22)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X22)
      | ~ c0_1(X20) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f604,plain,
    ( ~ spl0_66
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f173,f601,f511]) ).

fof(f173,plain,
    ( ~ c1_1(a901)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f597,plain,
    ( ~ spl0_50
    | spl0_83 ),
    inference(avatar_split_clause,[],[f148,f594,f432]) ).

fof(f148,plain,
    ( c3_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f581,plain,
    ( ~ spl0_1
    | spl0_19
    | spl0_80
    | spl0_24 ),
    inference(avatar_split_clause,[],[f102,f317,f579,f294,f219]) ).

fof(f317,plain,
    ( spl0_24
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f102,plain,
    ! [X41] :
      ( hskp17
      | c1_1(X41)
      | ~ c0_1(X41)
      | hskp12
      | c2_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f577,plain,
    ( ~ spl0_77
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f40,f574,f565]) ).

fof(f40,plain,
    ( ~ c0_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f572,plain,
    ( ~ spl0_77
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f41,f569,f565]) ).

fof(f41,plain,
    ( ~ c2_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f562,plain,
    ( ~ spl0_76
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f179,f272,f559]) ).

fof(f179,plain,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f552,plain,
    ( ~ spl0_1
    | spl0_50
    | spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f76,f227,f252,f432,f219]) ).

fof(f76,plain,
    ! [X56] :
      ( c0_1(X56)
      | hskp10
      | hskp27
      | c2_1(X56)
      | c3_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f546,plain,
    ( ~ spl0_1
    | spl0_66
    | spl0_63
    | spl0_32 ),
    inference(avatar_split_clause,[],[f210,f354,f494,f511,f219]) ).

fof(f210,plain,
    ! [X62,X61] :
      ( ~ c0_1(X61)
      | c3_1(X61)
      | ~ c1_1(X61)
      | ~ c0_1(X62)
      | hskp0
      | c3_1(X62)
      | c2_1(X62)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f64,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | c3_1(X61)
      | ~ c0_1(X61)
      | c2_1(X62)
      | c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X62)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f545,plain,
    ( ~ spl0_24
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f27,f542,f317]) ).

fof(f27,plain,
    ( ~ c1_1(a936)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f532,plain,
    ( ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f136,f529,f525]) ).

fof(f136,plain,
    ( ~ hskp2
    | ~ c3_1(a903) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f523,plain,
    ( spl0_19
    | spl0_47
    | ~ spl0_1
    | spl0_68 ),
    inference(avatar_split_clause,[],[f100,f521,f219,f417,f294]) ).

fof(f100,plain,
    ! [X44] :
      ( c3_1(X44)
      | ~ ndr1_0
      | ~ c2_1(X44)
      | hskp28
      | c0_1(X44)
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f514,plain,
    ( ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f172,f511,f507]) ).

fof(f172,plain,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f505,plain,
    ( spl0_64
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f118,f299,f502]) ).

fof(f118,plain,
    ( ~ hskp20
    | c0_1(a939) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f497,plain,
    ( spl0_22
    | ~ spl0_1
    | spl0_37 ),
    inference(avatar_split_clause,[],[f211,f375,f219,f308]) ).

fof(f211,plain,
    ! [X59,X60] :
      ( ~ c1_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | c3_1(X59)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | c2_1(X60) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f69,plain,
    ! [X59,X60] :
      ( c2_1(X59)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ c1_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f482,plain,
    ( spl0_18
    | spl0_60
    | ~ spl0_1
    | spl0_37 ),
    inference(avatar_split_clause,[],[f212,f375,f219,f480,f290]) ).

fof(f212,plain,
    ! [X65,X66] :
      ( ~ c1_1(X66)
      | c2_1(X66)
      | ~ ndr1_0
      | c3_1(X66)
      | ~ c0_1(X65)
      | c1_1(X65)
      | hskp21
      | ~ c3_1(X65) ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f62,plain,
    ! [X65,X66] :
      ( ~ ndr1_0
      | c2_1(X66)
      | c1_1(X65)
      | ~ c0_1(X65)
      | c3_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X66)
      | ~ c3_1(X65)
      | hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f473,plain,
    ( spl0_58
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f72,f252,f470]) ).

fof(f72,plain,
    ( ~ hskp10
    | c1_1(a912) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f468,plain,
    ( ~ spl0_31
    | spl0_57 ),
    inference(avatar_split_clause,[],[f65,f465,f349]) ).

fof(f65,plain,
    ( c1_1(a954)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f458,plain,
    ( ~ spl0_40
    | spl0_55 ),
    inference(avatar_split_clause,[],[f50,f455,f385]) ).

fof(f50,plain,
    ( c3_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f453,plain,
    ( ~ spl0_1
    | spl0_37
    | spl0_54
    | spl0_12 ),
    inference(avatar_split_clause,[],[f213,f265,f450,f375,f219]) ).

fof(f213,plain,
    ! [X18,X17] :
      ( ~ c3_1(X17)
      | hskp16
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ c1_1(X18)
      | c2_1(X18)
      | c3_1(X18)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X18,X17] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X18)
      | ~ c1_1(X17)
      | c3_1(X18)
      | hskp16
      | ~ c1_1(X18)
      | ~ c2_1(X17)
      | ~ c3_1(X17) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f425,plain,
    ( ~ spl0_48
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f155,f340,f422]) ).

fof(f155,plain,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f420,plain,
    ( spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f31,f417,f413]) ).

fof(f31,plain,
    ( ~ hskp28
    | c1_1(a916) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f402,plain,
    ( spl0_43
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f92,f330,f399]) ).

fof(f92,plain,
    ( ~ hskp30
    | c0_1(a942) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f397,plain,
    ( ~ spl0_11
    | spl0_42 ),
    inference(avatar_split_clause,[],[f126,f394,f261]) ).

fof(f126,plain,
    ( c0_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f392,plain,
    ( ~ spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f47,f389,f385]) ).

fof(f47,plain,
    ( ~ c1_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f383,plain,
    ( ~ spl0_1
    | spl0_37
    | spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f214,f381,f378,f375,f219]) ).

fof(f214,plain,
    ! [X83,X84,X85] :
      ( ~ c2_1(X83)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | ~ c0_1(X83)
      | ~ c1_1(X85)
      | c3_1(X83)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | c2_1(X85) ),
    inference(duplicate_literal_removal,[],[f10]) ).

fof(f10,plain,
    ! [X83,X84,X85] :
      ( ~ ndr1_0
      | c3_1(X85)
      | ~ c1_1(X84)
      | ~ c2_1(X83)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | c3_1(X83)
      | c2_1(X85)
      | ~ c0_1(X83)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f373,plain,
    ( ~ spl0_27
    | spl0_36 ),
    inference(avatar_split_clause,[],[f94,f370,f330]) ).

fof(f94,plain,
    ( c2_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f352,plain,
    ( ~ spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f66,f349,f345]) ).

fof(f66,plain,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f338,plain,
    ( ~ spl0_28
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f25,f317,f335]) ).

fof(f25,plain,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f333,plain,
    ( spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f91,f330,f326]) ).

fof(f91,plain,
    ( ~ hskp30
    | c1_1(a942) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f324,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f26,f321,f317]) ).

fof(f26,plain,
    ( ~ c2_1(a936)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f310,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_18
    | spl0_22 ),
    inference(avatar_split_clause,[],[f51,f308,f290,f252,f219]) ).

fof(f51,plain,
    ! [X69] :
      ( ~ c1_1(X69)
      | c2_1(X69)
      | hskp21
      | ~ c3_1(X69)
      | hskp10
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f306,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f120,f303,f299]) ).

fof(f120,plain,
    ( ~ c3_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f297,plain,
    ( spl0_18
    | spl0_19
    | spl0_14 ),
    inference(avatar_split_clause,[],[f104,f272,f294,f290]) ).

fof(f104,plain,
    ( hskp13
    | hskp12
    | hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f279,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f177,f276,f272]) ).

fof(f177,plain,
    ( ~ c0_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f270,plain,
    ( spl0_11
    | spl0_12
    | spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f216,f219,f268,f265,f261]) ).

fof(f216,plain,
    ! [X34,X33] :
      ( ~ ndr1_0
      | c0_1(X34)
      | ~ c3_1(X33)
      | hskp5
      | ~ c3_1(X34)
      | c1_1(X34)
      | ~ c2_1(X33)
      | ~ c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X34,X33] :
      ( ~ c1_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ ndr1_0
      | c1_1(X34)
      | hskp5
      | ~ c3_1(X34)
      | ~ c2_1(X33)
      | ~ c3_1(X33) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f259,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f71,f256,f252]) ).

fof(f71,plain,
    ( ~ c0_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f250,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f129,f247,f243]) ).

fof(f129,plain,
    ( c0_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f232,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f217,f230,f227,f223,f219]) ).

fof(f217,plain,
    ! [X63,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | c0_1(X63)
      | hskp8
      | c2_1(X63)
      | ~ c3_1(X64)
      | c3_1(X63)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f63,plain,
    ! [X63,X64] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X63)
      | c2_1(X63)
      | ~ c1_1(X64)
      | c0_1(X63)
      | c0_1(X64)
      | hskp8
      | ~ c3_1(X64) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN455+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:10:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.53  % (31167)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54  % (31166)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54  % (31159)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (31151)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (31150)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (31160)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (31152)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55  % (31159)Instruction limit reached!
% 0.20/0.55  % (31159)------------------------------
% 0.20/0.55  % (31159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (31168)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (31158)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (31158)Instruction limit reached!
% 0.20/0.56  % (31158)------------------------------
% 0.20/0.56  % (31158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (31158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (31158)Termination reason: Unknown
% 0.20/0.56  % (31158)Termination phase: Preprocessing 3
% 0.20/0.56  
% 0.20/0.56  % (31158)Memory used [KB]: 1663
% 0.20/0.56  % (31158)Time elapsed: 0.005 s
% 0.20/0.56  % (31158)Instructions burned: 4 (million)
% 0.20/0.56  % (31158)------------------------------
% 0.20/0.56  % (31158)------------------------------
% 0.20/0.56  % (31159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (31159)Termination reason: Unknown
% 0.20/0.56  % (31159)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (31159)Memory used [KB]: 6524
% 0.20/0.56  % (31159)Time elapsed: 0.007 s
% 0.20/0.56  % (31159)Instructions burned: 7 (million)
% 0.20/0.56  % (31159)------------------------------
% 0.20/0.56  % (31159)------------------------------
% 0.20/0.59  % (31166)First to succeed.
% 0.20/0.59  % (31161)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.59  % (31161)Instruction limit reached!
% 0.20/0.59  % (31161)------------------------------
% 0.20/0.59  % (31161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (31161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (31161)Termination reason: Unknown
% 0.20/0.59  % (31161)Termination phase: Preprocessing 2
% 0.20/0.59  
% 0.20/0.59  % (31161)Memory used [KB]: 1663
% 0.20/0.59  % (31161)Time elapsed: 0.003 s
% 0.20/0.59  % (31161)Instructions burned: 3 (million)
% 0.20/0.59  % (31161)------------------------------
% 0.20/0.59  % (31161)------------------------------
% 0.20/0.59  % (31171)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.60  % (31169)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.60  % (31150)Instruction limit reached!
% 0.20/0.60  % (31150)------------------------------
% 0.20/0.60  % (31150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (31150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (31150)Termination reason: Unknown
% 0.20/0.60  % (31150)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (31150)Memory used [KB]: 7164
% 0.20/0.60  % (31150)Time elapsed: 0.174 s
% 0.20/0.60  % (31150)Instructions burned: 39 (million)
% 0.20/0.60  % (31150)------------------------------
% 0.20/0.60  % (31150)------------------------------
% 0.20/0.60  % (31149)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.60  % (31148)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.60  % (31153)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.61  % (31166)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Theorem for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (31166)------------------------------
% 0.20/0.61  % (31166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (31166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (31166)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (31166)Memory used [KB]: 7675
% 0.20/0.61  % (31166)Time elapsed: 0.172 s
% 0.20/0.61  % (31166)Instructions burned: 32 (million)
% 0.20/0.61  % (31166)------------------------------
% 0.20/0.61  % (31166)------------------------------
% 0.20/0.61  % (31141)Success in time 0.26 s
%------------------------------------------------------------------------------