TSTP Solution File: SYN475+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN475+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:20 EDT 2022

% Result   : Theorem 2.02s 0.62s
% Output   : Refutation 2.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   91
% Syntax   : Number of formulae    :  354 (   1 unt;   0 def)
%            Number of atoms       : 5379 (   0 equ)
%            Maximal formula atoms :  712 (  15 avg)
%            Number of connectives : 7268 (2243   ~;3325   |;1146   &)
%                                         (  90 <=>; 464  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  111 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  126 ( 125 usr; 122 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  787 ( 787   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2219,plain,
    $false,
    inference(avatar_sat_refutation,[],[f207,f231,f253,f317,f349,f418,f423,f427,f455,f470,f491,f496,f506,f511,f516,f522,f523,f533,f568,f581,f586,f596,f601,f614,f629,f634,f649,f655,f661,f668,f669,f681,f686,f699,f709,f734,f746,f751,f758,f759,f769,f779,f788,f789,f795,f812,f814,f820,f825,f828,f829,f836,f847,f849,f850,f851,f856,f872,f895,f900,f905,f913,f925,f930,f940,f945,f953,f958,f964,f993,f1016,f1018,f1020,f1042,f1055,f1058,f1073,f1099,f1139,f1315,f1326,f1472,f1482,f1492,f1509,f1560,f1561,f1621,f1642,f1800,f1875,f2024,f2040,f2041,f2065,f2066,f2148,f2149,f2155,f2156,f2157,f2158,f2201,f2217]) ).

fof(f2217,plain,
    ( spl0_174
    | spl0_29
    | ~ spl0_6
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2214,f869,f220,f310,f1468]) ).

fof(f1468,plain,
    ( spl0_174
  <=> c3_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f310,plain,
    ( spl0_29
  <=> c2_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f220,plain,
    ( spl0_6
  <=> ! [X27] :
        ( c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f869,plain,
    ( spl0_135
  <=> c1_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2214,plain,
    ( c2_1(a1043)
    | c3_1(a1043)
    | ~ spl0_6
    | spl0_135 ),
    inference(resolution,[],[f221,f871]) ).

fof(f871,plain,
    ( ~ c1_1(a1043)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f221,plain,
    ( ! [X27] :
        ( c1_1(X27)
        | c3_1(X27)
        | c2_1(X27) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f2201,plain,
    ( spl0_145
    | ~ spl0_51
    | spl0_113
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2189,f777,f731,f407,f927]) ).

fof(f927,plain,
    ( spl0_145
  <=> c0_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f407,plain,
    ( spl0_51
  <=> ! [X103] :
        ( c0_1(X103)
        | ~ c3_1(X103)
        | c2_1(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f731,plain,
    ( spl0_113
  <=> c2_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f777,plain,
    ( spl0_121
  <=> ! [X4] :
        ( c0_1(X4)
        | c3_1(X4)
        | c2_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2189,plain,
    ( c0_1(a1003)
    | ~ spl0_51
    | spl0_113
    | ~ spl0_121 ),
    inference(resolution,[],[f2127,f733]) ).

fof(f733,plain,
    ( ~ c2_1(a1003)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f2127,plain,
    ( ! [X5] :
        ( c2_1(X5)
        | c0_1(X5) )
    | ~ spl0_51
    | ~ spl0_121 ),
    inference(duplicate_literal_removal,[],[f2105]) ).

fof(f2105,plain,
    ( ! [X5] :
        ( c0_1(X5)
        | c2_1(X5)
        | c2_1(X5)
        | c0_1(X5) )
    | ~ spl0_51
    | ~ spl0_121 ),
    inference(resolution,[],[f778,f408]) ).

fof(f408,plain,
    ( ! [X103] :
        ( ~ c3_1(X103)
        | c2_1(X103)
        | c0_1(X103) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f778,plain,
    ( ! [X4] :
        ( c3_1(X4)
        | c2_1(X4)
        | c0_1(X4) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f2158,plain,
    ( spl0_1
    | spl0_167
    | ~ spl0_59
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1902,f892,f443,f1155,f200]) ).

fof(f200,plain,
    ( spl0_1
  <=> c3_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1155,plain,
    ( spl0_167
  <=> c2_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f443,plain,
    ( spl0_59
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | c3_1(X73)
        | c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f892,plain,
    ( spl0_139
  <=> c1_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1902,plain,
    ( c2_1(a1044)
    | c3_1(a1044)
    | ~ spl0_59
    | ~ spl0_139 ),
    inference(resolution,[],[f444,f894]) ).

fof(f894,plain,
    ( c1_1(a1044)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f444,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c3_1(X73)
        | c2_1(X73) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f2157,plain,
    ( ~ spl0_131
    | spl0_177
    | ~ spl0_45
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1749,f902,f383,f1618,f844]) ).

fof(f844,plain,
    ( spl0_131
  <=> c2_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1618,plain,
    ( spl0_177
  <=> c1_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f383,plain,
    ( spl0_45
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f902,plain,
    ( spl0_141
  <=> c3_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1749,plain,
    ( c1_1(a1032)
    | ~ c2_1(a1032)
    | ~ spl0_45
    | ~ spl0_141 ),
    inference(resolution,[],[f384,f904]) ).

fof(f904,plain,
    ( c3_1(a1032)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f384,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f2156,plain,
    ( ~ spl0_149
    | spl0_167
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1889,f892,f425,f1155,f950]) ).

fof(f950,plain,
    ( spl0_149
  <=> c0_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f425,plain,
    ( spl0_55
  <=> ! [X55] :
        ( ~ c1_1(X55)
        | ~ c0_1(X55)
        | c2_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1889,plain,
    ( c2_1(a1044)
    | ~ c0_1(a1044)
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(resolution,[],[f426,f894]) ).

fof(f426,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c0_1(X55)
        | c2_1(X55) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f2155,plain,
    ( spl0_128
    | spl0_147
    | ~ spl0_51
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1842,f631,f407,f937,f822]) ).

fof(f822,plain,
    ( spl0_128
  <=> c0_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f937,plain,
    ( spl0_147
  <=> c2_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f631,plain,
    ( spl0_95
  <=> c3_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1842,plain,
    ( c2_1(a1052)
    | c0_1(a1052)
    | ~ spl0_51
    | ~ spl0_95 ),
    inference(resolution,[],[f408,f633]) ).

fof(f633,plain,
    ( c3_1(a1052)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f2149,plain,
    ( ~ spl0_160
    | spl0_126
    | ~ spl0_88
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2137,f786,f593,f809,f1052]) ).

fof(f1052,plain,
    ( spl0_160
  <=> c2_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f809,plain,
    ( spl0_126
  <=> c0_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f593,plain,
    ( spl0_88
  <=> c3_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f786,plain,
    ( spl0_122
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c2_1(X37)
        | ~ c3_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2137,plain,
    ( c0_1(a1045)
    | ~ c2_1(a1045)
    | ~ spl0_88
    | ~ spl0_122 ),
    inference(resolution,[],[f787,f595]) ).

fof(f595,plain,
    ( c3_1(a1045)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f787,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c0_1(X37)
        | ~ c2_1(X37) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f2148,plain,
    ( ~ spl0_131
    | spl0_83
    | ~ spl0_122
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2134,f902,f786,f565,f844]) ).

fof(f565,plain,
    ( spl0_83
  <=> c0_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2134,plain,
    ( c0_1(a1032)
    | ~ c2_1(a1032)
    | ~ spl0_122
    | ~ spl0_141 ),
    inference(resolution,[],[f787,f904]) ).

fof(f2066,plain,
    ( ~ spl0_171
    | ~ spl0_54
    | ~ spl0_89
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2059,f617,f598,f420,f1309]) ).

fof(f1309,plain,
    ( spl0_171
  <=> c2_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f420,plain,
    ( spl0_54
  <=> c3_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f598,plain,
    ( spl0_89
  <=> c1_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f617,plain,
    ( spl0_92
  <=> ! [X24] :
        ( ~ c2_1(X24)
        | ~ c1_1(X24)
        | ~ c3_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2059,plain,
    ( ~ c3_1(a1040)
    | ~ c2_1(a1040)
    | ~ spl0_89
    | ~ spl0_92 ),
    inference(resolution,[],[f618,f600]) ).

fof(f600,plain,
    ( c1_1(a1040)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f618,plain,
    ( ! [X24] :
        ( ~ c1_1(X24)
        | ~ c2_1(X24)
        | ~ c3_1(X24) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f2065,plain,
    ( ~ spl0_141
    | ~ spl0_131
    | ~ spl0_92
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2051,f1618,f617,f844,f902]) ).

fof(f2051,plain,
    ( ~ c2_1(a1032)
    | ~ c3_1(a1032)
    | ~ spl0_92
    | ~ spl0_177 ),
    inference(resolution,[],[f618,f1620]) ).

fof(f1620,plain,
    ( c1_1(a1032)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1618]) ).

fof(f2041,plain,
    ( ~ spl0_141
    | spl0_83
    | ~ spl0_90
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2030,f1618,f604,f565,f902]) ).

fof(f604,plain,
    ( spl0_90
  <=> ! [X39] :
        ( c0_1(X39)
        | ~ c1_1(X39)
        | ~ c3_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2030,plain,
    ( c0_1(a1032)
    | ~ c3_1(a1032)
    | ~ spl0_90
    | ~ spl0_177 ),
    inference(resolution,[],[f605,f1620]) ).

fof(f605,plain,
    ( ! [X39] :
        ( ~ c1_1(X39)
        | c0_1(X39)
        | ~ c3_1(X39) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f2040,plain,
    ( ~ spl0_88
    | spl0_126
    | ~ spl0_64
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2034,f604,f467,f809,f593]) ).

fof(f467,plain,
    ( spl0_64
  <=> c1_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2034,plain,
    ( c0_1(a1045)
    | ~ c3_1(a1045)
    | ~ spl0_64
    | ~ spl0_90 ),
    inference(resolution,[],[f605,f469]) ).

fof(f469,plain,
    ( c1_1(a1045)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f2024,plain,
    ( ~ spl0_167
    | spl0_1
    | ~ spl0_68
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2017,f892,f488,f200,f1155]) ).

fof(f488,plain,
    ( spl0_68
  <=> ! [X67] :
        ( ~ c1_1(X67)
        | ~ c2_1(X67)
        | c3_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2017,plain,
    ( c3_1(a1044)
    | ~ c2_1(a1044)
    | ~ spl0_68
    | ~ spl0_139 ),
    inference(resolution,[],[f489,f894]) ).

fof(f489,plain,
    ( ! [X67] :
        ( ~ c1_1(X67)
        | ~ c2_1(X67)
        | c3_1(X67) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f1875,plain,
    ( spl0_91
    | spl0_72
    | ~ spl0_52
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1860,f493,f410,f508,f611]) ).

fof(f611,plain,
    ( spl0_91
  <=> c1_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f508,plain,
    ( spl0_72
  <=> c0_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f410,plain,
    ( spl0_52
  <=> ! [X104] :
        ( c1_1(X104)
        | c0_1(X104)
        | ~ c2_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f493,plain,
    ( spl0_69
  <=> c2_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1860,plain,
    ( c0_1(a1026)
    | c1_1(a1026)
    | ~ spl0_52
    | ~ spl0_69 ),
    inference(resolution,[],[f411,f495]) ).

fof(f495,plain,
    ( c2_1(a1026)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f411,plain,
    ( ! [X104] :
        ( ~ c2_1(X104)
        | c1_1(X104)
        | c0_1(X104) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1800,plain,
    ( spl0_132
    | spl0_117
    | ~ spl0_49
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1774,f452,f400,f755,f853]) ).

fof(f853,plain,
    ( spl0_132
  <=> c1_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f755,plain,
    ( spl0_117
  <=> c3_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f400,plain,
    ( spl0_49
  <=> ! [X99] :
        ( c1_1(X99)
        | ~ c2_1(X99)
        | c3_1(X99) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f452,plain,
    ( spl0_61
  <=> c2_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1774,plain,
    ( c3_1(a1008)
    | c1_1(a1008)
    | ~ spl0_49
    | ~ spl0_61 ),
    inference(resolution,[],[f401,f454]) ).

fof(f454,plain,
    ( c2_1(a1008)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f401,plain,
    ( ! [X99] :
        ( ~ c2_1(X99)
        | c1_1(X99)
        | c3_1(X99) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f1642,plain,
    ( ~ spl0_104
    | ~ spl0_171
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1401,f420,f347,f1309,f683]) ).

fof(f683,plain,
    ( spl0_104
  <=> c0_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f347,plain,
    ( spl0_37
  <=> ! [X98] :
        ( ~ c3_1(X98)
        | ~ c2_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1401,plain,
    ( ~ c2_1(a1040)
    | ~ c0_1(a1040)
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(resolution,[],[f348,f422]) ).

fof(f422,plain,
    ( c3_1(a1040)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f348,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | ~ c0_1(X98)
        | ~ c2_1(X98) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1621,plain,
    ( spl0_177
    | spl0_83
    | ~ spl0_10
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1602,f902,f237,f565,f1618]) ).

fof(f237,plain,
    ( spl0_10
  <=> ! [X47] :
        ( c0_1(X47)
        | ~ c3_1(X47)
        | c1_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1602,plain,
    ( c0_1(a1032)
    | c1_1(a1032)
    | ~ spl0_10
    | ~ spl0_141 ),
    inference(resolution,[],[f238,f904]) ).

fof(f238,plain,
    ( ! [X47] :
        ( ~ c3_1(X47)
        | c1_1(X47)
        | c0_1(X47) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f1561,plain,
    ( ~ spl0_104
    | spl0_171
    | ~ spl0_47
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1558,f420,f391,f1309,f683]) ).

fof(f391,plain,
    ( spl0_47
  <=> ! [X112] :
        ( c2_1(X112)
        | ~ c3_1(X112)
        | ~ c0_1(X112) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1558,plain,
    ( c2_1(a1040)
    | ~ c0_1(a1040)
    | ~ spl0_47
    | ~ spl0_54 ),
    inference(resolution,[],[f392,f422]) ).

fof(f392,plain,
    ( ! [X112] :
        ( ~ c3_1(X112)
        | ~ c0_1(X112)
        | c2_1(X112) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f1560,plain,
    ( spl0_148
    | ~ spl0_94
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1544,f652,f391,f626,f942]) ).

fof(f942,plain,
    ( spl0_148
  <=> c2_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f626,plain,
    ( spl0_94
  <=> c0_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f652,plain,
    ( spl0_99
  <=> c3_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1544,plain,
    ( ~ c0_1(a1006)
    | c2_1(a1006)
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(resolution,[],[f392,f654]) ).

fof(f654,plain,
    ( c3_1(a1006)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f1509,plain,
    ( spl0_1
    | ~ spl0_149
    | ~ spl0_23
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1508,f1155,f285,f950,f200]) ).

fof(f285,plain,
    ( spl0_23
  <=> ! [X65] :
        ( c3_1(X65)
        | ~ c2_1(X65)
        | ~ c0_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1508,plain,
    ( ~ c0_1(a1044)
    | c3_1(a1044)
    | ~ spl0_23
    | ~ spl0_167 ),
    inference(resolution,[],[f1157,f286]) ).

fof(f286,plain,
    ( ! [X65] :
        ( ~ c2_1(X65)
        | ~ c0_1(X65)
        | c3_1(X65) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f1157,plain,
    ( c2_1(a1044)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f1492,plain,
    ( spl0_1
    | spl0_167
    | ~ spl0_17
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1375,f950,f261,f1155,f200]) ).

fof(f261,plain,
    ( spl0_17
  <=> ! [X86] :
        ( ~ c0_1(X86)
        | c2_1(X86)
        | c3_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1375,plain,
    ( c2_1(a1044)
    | c3_1(a1044)
    | ~ spl0_17
    | ~ spl0_149 ),
    inference(resolution,[],[f262,f952]) ).

fof(f952,plain,
    ( c0_1(a1044)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f262,plain,
    ( ! [X86] :
        ( ~ c0_1(X86)
        | c2_1(X86)
        | c3_1(X86) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f1482,plain,
    ( spl0_135
    | spl0_29
    | ~ spl0_12
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1480,f1468,f244,f310,f869]) ).

fof(f244,plain,
    ( spl0_12
  <=> ! [X12] :
        ( c2_1(X12)
        | ~ c3_1(X12)
        | c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1480,plain,
    ( c2_1(a1043)
    | c1_1(a1043)
    | ~ spl0_12
    | ~ spl0_174 ),
    inference(resolution,[],[f1470,f245]) ).

fof(f245,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | c1_1(X12) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f1470,plain,
    ( c3_1(a1043)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f1472,plain,
    ( spl0_174
    | spl0_135
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1465,f897,f297,f869,f1468]) ).

fof(f297,plain,
    ( spl0_26
  <=> ! [X42] :
        ( ~ c0_1(X42)
        | c1_1(X42)
        | c3_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f897,plain,
    ( spl0_140
  <=> c0_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1465,plain,
    ( c1_1(a1043)
    | c3_1(a1043)
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(resolution,[],[f899,f298]) ).

fof(f298,plain,
    ( ! [X42] :
        ( ~ c0_1(X42)
        | c3_1(X42)
        | c1_1(X42) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f899,plain,
    ( c0_1(a1043)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1326,plain,
    ( spl0_71
    | ~ spl0_86
    | ~ spl0_21
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1319,f696,f279,f583,f503]) ).

fof(f503,plain,
    ( spl0_71
  <=> c1_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f583,plain,
    ( spl0_86
  <=> c0_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f279,plain,
    ( spl0_21
  <=> ! [X63] :
        ( ~ c0_1(X63)
        | ~ c3_1(X63)
        | c1_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f696,plain,
    ( spl0_106
  <=> c3_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1319,plain,
    ( ~ c0_1(a1010)
    | c1_1(a1010)
    | ~ spl0_21
    | ~ spl0_106 ),
    inference(resolution,[],[f698,f280]) ).

fof(f280,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | ~ c0_1(X63)
        | c1_1(X63) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f698,plain,
    ( c3_1(a1010)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1315,plain,
    ( ~ spl0_167
    | ~ spl0_149
    | ~ spl0_11
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1300,f892,f240,f950,f1155]) ).

fof(f240,plain,
    ( spl0_11
  <=> ! [X48] :
        ( ~ c0_1(X48)
        | ~ c1_1(X48)
        | ~ c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1300,plain,
    ( ~ c0_1(a1044)
    | ~ c2_1(a1044)
    | ~ spl0_11
    | ~ spl0_139 ),
    inference(resolution,[],[f241,f894]) ).

fof(f241,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | ~ c0_1(X48)
        | ~ c2_1(X48) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f1139,plain,
    ( spl0_108
    | spl0_127
    | ~ spl0_10
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1138,f513,f237,f817,f706]) ).

fof(f706,plain,
    ( spl0_108
  <=> c0_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f817,plain,
    ( spl0_127
  <=> c1_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f513,plain,
    ( spl0_73
  <=> c3_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1138,plain,
    ( c1_1(a1015)
    | c0_1(a1015)
    | ~ spl0_10
    | ~ spl0_73 ),
    inference(resolution,[],[f515,f238]) ).

fof(f515,plain,
    ( c3_1(a1015)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f1099,plain,
    ( spl0_132
    | ~ spl0_161
    | ~ spl0_16
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1094,f452,f258,f1070,f853]) ).

fof(f1070,plain,
    ( spl0_161
  <=> c0_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f258,plain,
    ( spl0_16
  <=> ! [X85] :
        ( ~ c0_1(X85)
        | ~ c2_1(X85)
        | c1_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1094,plain,
    ( ~ c0_1(a1008)
    | c1_1(a1008)
    | ~ spl0_16
    | ~ spl0_61 ),
    inference(resolution,[],[f259,f454]) ).

fof(f259,plain,
    ( ! [X85] :
        ( ~ c2_1(X85)
        | c1_1(X85)
        | ~ c0_1(X85) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f1073,plain,
    ( spl0_117
    | spl0_161
    | ~ spl0_15
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1064,f452,f255,f1070,f755]) ).

fof(f255,plain,
    ( spl0_15
  <=> ! [X87] :
        ( c3_1(X87)
        | ~ c2_1(X87)
        | c0_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1064,plain,
    ( c0_1(a1008)
    | c3_1(a1008)
    | ~ spl0_15
    | ~ spl0_61 ),
    inference(resolution,[],[f256,f454]) ).

fof(f256,plain,
    ( ! [X87] :
        ( ~ c2_1(X87)
        | c3_1(X87)
        | c0_1(X87) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f1058,plain,
    ( spl0_145
    | spl0_113
    | ~ spl0_14
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1057,f792,f251,f731,f927]) ).

fof(f251,plain,
    ( spl0_14
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f792,plain,
    ( spl0_123
  <=> c1_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1057,plain,
    ( c2_1(a1003)
    | c0_1(a1003)
    | ~ spl0_14
    | ~ spl0_123 ),
    inference(resolution,[],[f794,f252]) ).

fof(f252,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c0_1(X11)
        | c2_1(X11) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f794,plain,
    ( c1_1(a1003)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f1055,plain,
    ( spl0_126
    | spl0_160
    | ~ spl0_14
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1050,f467,f251,f1052,f809]) ).

fof(f1050,plain,
    ( c2_1(a1045)
    | c0_1(a1045)
    | ~ spl0_14
    | ~ spl0_64 ),
    inference(resolution,[],[f469,f252]) ).

fof(f1042,plain,
    ( spl0_147
    | spl0_128
    | ~ spl0_14
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1034,f990,f251,f822,f937]) ).

fof(f990,plain,
    ( spl0_155
  <=> c1_1(a1052) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1034,plain,
    ( c0_1(a1052)
    | c2_1(a1052)
    | ~ spl0_14
    | ~ spl0_155 ),
    inference(resolution,[],[f252,f992]) ).

fof(f992,plain,
    ( c1_1(a1052)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1020,plain,
    ( ~ spl0_119
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1019,f955,f240,f224,f766]) ).

fof(f766,plain,
    ( spl0_119
  <=> c0_1(a1033) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f224,plain,
    ( spl0_7
  <=> c2_1(a1033) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f955,plain,
    ( spl0_150
  <=> c1_1(a1033) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1019,plain,
    ( ~ c2_1(a1033)
    | ~ c0_1(a1033)
    | ~ spl0_11
    | ~ spl0_150 ),
    inference(resolution,[],[f957,f241]) ).

fof(f957,plain,
    ( c1_1(a1033)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f1018,plain,
    ( spl0_116
    | spl0_98
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1007,f530,f244,f646,f748]) ).

fof(f748,plain,
    ( spl0_116
  <=> c2_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f646,plain,
    ( spl0_98
  <=> c1_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f530,plain,
    ( spl0_76
  <=> c3_1(a1023) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1007,plain,
    ( c1_1(a1023)
    | c2_1(a1023)
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(resolution,[],[f245,f532]) ).

fof(f532,plain,
    ( c3_1(a1023)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f1016,plain,
    ( spl0_147
    | spl0_155
    | ~ spl0_12
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1010,f631,f244,f990,f937]) ).

fof(f1010,plain,
    ( c1_1(a1052)
    | c2_1(a1052)
    | ~ spl0_12
    | ~ spl0_95 ),
    inference(resolution,[],[f245,f633]) ).

fof(f993,plain,
    ( spl0_128
    | spl0_155
    | ~ spl0_10
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f983,f631,f237,f990,f822]) ).

fof(f983,plain,
    ( c1_1(a1052)
    | c0_1(a1052)
    | ~ spl0_10
    | ~ spl0_95 ),
    inference(resolution,[],[f238,f633]) ).

fof(f964,plain,
    ( ~ spl0_13
    | spl0_4 ),
    inference(avatar_split_clause,[],[f148,f213,f247]) ).

fof(f247,plain,
    ( spl0_13
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f213,plain,
    ( spl0_4
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f148,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X32] :
          ( ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0
          | ~ c3_1(X32) )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0
          | c1_1(X31) )
      | hskp6 )
    & ( ~ hskp10
      | ( ~ c3_1(a1012)
        & c0_1(a1012)
        & ndr1_0
        & ~ c1_1(a1012) ) )
    & ( ~ hskp27
      | ( c0_1(a1029)
        & c3_1(a1029)
        & c2_1(a1029)
        & ndr1_0 ) )
    & ( ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | c3_1(X83)
          | c0_1(X83) )
      | hskp11
      | ! [X82] :
          ( c1_1(X82)
          | ~ ndr1_0
          | ~ c0_1(X82)
          | ~ c3_1(X82) ) )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( hskp11
      | ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | ~ ndr1_0
          | c0_1(X40) )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | hskp29 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0
          | ~ c2_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c2_1(X68)
          | c1_1(X68)
          | ~ c3_1(X68) )
      | hskp13 )
    & ( hskp4
      | ! [X21] :
          ( c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0
          | ~ c0_1(X21) )
      | ! [X20] :
          ( c1_1(X20)
          | ~ ndr1_0
          | ~ c2_1(X20)
          | c0_1(X20) ) )
    & ( hskp15
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c0_1(X9)
          | c1_1(X9) )
      | hskp24 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c3_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c1_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c0_1(X104)
          | ~ ndr1_0
          | c1_1(X104)
          | ~ c2_1(X104) ) )
    & ( ! [X19] :
          ( c3_1(X19)
          | c0_1(X19)
          | ~ ndr1_0
          | ~ c1_1(X19) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c0_1(X17)
          | c2_1(X17) )
      | ! [X18] :
          ( c2_1(X18)
          | c3_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ ndr1_0
          | ~ c1_1(X51) )
      | hskp7 )
    & ( hskp14
      | ! [X111] :
          ( ~ ndr1_0
          | c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111) )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ ndr1_0
          | ~ c3_1(X112)
          | c2_1(X112) ) )
    & ( ( ndr1_0
        & c1_1(a1048)
        & ~ c0_1(a1048)
        & ~ c3_1(a1048) )
      | ~ hskp25 )
    & ( ( ndr1_0
        & ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025) )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1030)
        & ~ c3_1(a1030)
        & ndr1_0
        & c1_1(a1030) )
      | ~ hskp16 )
    & ( ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | ~ c3_1(X8)
          | ~ c0_1(X8) )
      | ! [X7] :
          ( c1_1(X7)
          | c3_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | ~ c0_1(X54)
          | c1_1(X54) )
      | ! [X53] :
          ( c0_1(X53)
          | c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | hskp7
      | ! [X100] :
          ( c3_1(X100)
          | c0_1(X100)
          | ~ ndr1_0
          | ~ c1_1(X100) ) )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58)
          | c0_1(X58) )
      | hskp9
      | hskp10 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ~ c2_1(a1043) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c2_1(X95)
          | c3_1(X95)
          | ~ c0_1(X95) )
      | hskp3
      | hskp25 )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | ~ ndr1_0
          | ~ c1_1(X84) )
      | hskp26
      | hskp8 )
    & ( ~ hskp21
      | ( ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0
        & ~ c3_1(a1041) ) )
    & ( hskp27
      | ! [X50] :
          ( ~ c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0
          | ~ c0_1(X50) )
      | ! [X49] :
          ( c2_1(X49)
          | c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( c0_1(a1033)
        & ndr1_0
        & c2_1(a1033)
        & c1_1(a1033) ) )
    & ( ! [X37] :
          ( ~ c3_1(X37)
          | ~ c2_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 )
      | hskp6
      | ! [X38] :
          ( c2_1(X38)
          | ~ ndr1_0
          | c0_1(X38)
          | c3_1(X38) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13) )
      | hskp12
      | hskp9 )
    & ( hskp28
      | hskp8
      | ! [X113] :
          ( ~ ndr1_0
          | c1_1(X113)
          | ~ c3_1(X113)
          | c2_1(X113) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ~ c2_1(a1052) ) )
    & ( ! [X28] :
          ( ~ c0_1(X28)
          | ~ c1_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ ndr1_0
          | c1_1(X27)
          | c3_1(X27)
          | c2_1(X27) )
      | hskp17 )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ ndr1_0
          | ~ c0_1(X91)
          | c1_1(X91) )
      | hskp23 )
    & ( hskp3
      | hskp26
      | hskp29 )
    & ( ( c2_1(a1002)
        & ~ c1_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp13
      | hskp6
      | ! [X41] :
          ( c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0
          | ~ c0_1(X41) ) )
    & ( hskp6
      | hskp12
      | ! [X14] :
          ( c3_1(X14)
          | ~ ndr1_0
          | c0_1(X14)
          | ~ c1_1(X14) ) )
    & ( ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109) )
      | hskp17
      | ! [X110] :
          ( ~ c2_1(X110)
          | c3_1(X110)
          | ~ ndr1_0
          | ~ c0_1(X110) ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | ~ c1_1(X25) )
      | ! [X26] :
          ( ~ c3_1(X26)
          | c0_1(X26)
          | ~ ndr1_0
          | ~ c2_1(X26) )
      | hskp9 )
    & ( ! [X6] :
          ( c3_1(X6)
          | ~ ndr1_0
          | c1_1(X6)
          | ~ c0_1(X6) )
      | hskp4
      | ! [X5] :
          ( ~ c1_1(X5)
          | c0_1(X5)
          | ~ ndr1_0
          | c2_1(X5) ) )
    & ( ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ c1_1(X81) )
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0
          | c0_1(X79) )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X94] :
          ( ~ c0_1(X94)
          | ~ ndr1_0
          | ~ c3_1(X94)
          | c2_1(X94) )
      | hskp23 )
    & ( ! [X52] :
          ( ~ c0_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0
          | ~ c1_1(X52) )
      | hskp7 )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0
          | c2_1(X36) )
      | hskp10
      | hskp18 )
    & ( hskp5
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ c2_1(X48) )
      | ! [X47] :
          ( c1_1(X47)
          | ~ c3_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a1032)
        & ndr1_0
        & c3_1(a1032)
        & c2_1(a1032) )
      | ~ hskp17 )
    & ( ~ hskp12
      | ( c1_1(a1019)
        & ~ c0_1(a1019)
        & ndr1_0
        & c2_1(a1019) ) )
    & ( hskp19
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ ndr1_0
          | c1_1(X88)
          | c3_1(X88) )
      | ! [X89] :
          ( ~ ndr1_0
          | c1_1(X89)
          | ~ c2_1(X89)
          | ~ c0_1(X89) ) )
    & ( ! [X73] :
          ( c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0
          | c2_1(X73) )
      | hskp16
      | ! [X74] :
          ( c2_1(X74)
          | ~ ndr1_0
          | c1_1(X74)
          | c3_1(X74) ) )
    & ( hskp1
      | ! [X108] :
          ( c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp29
      | hskp13
      | hskp23 )
    & ( hskp6
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c0_1(X107) )
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | c2_1(X106)
          | ~ c0_1(X106) ) )
    & ( ~ hskp6
      | ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | ~ c3_1(X24)
          | ~ c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | c0_1(X23)
          | ~ c1_1(X23)
          | c3_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c2_1(X22)
          | c1_1(X22) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | c3_1(X57)
          | ~ c0_1(X57)
          | c2_1(X57) )
      | hskp20
      | ! [X56] :
          ( c3_1(X56)
          | ~ ndr1_0
          | c1_1(X56)
          | ~ c0_1(X56) ) )
    & ( ( c3_1(a1045)
        & ndr1_0
        & c1_1(a1045)
        & ~ c0_1(a1045) )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1037)
        & ~ c0_1(a1037)
        & ~ c1_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X64] :
          ( ~ ndr1_0
          | c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | ~ c3_1(X63)
          | c1_1(X63) ) )
    & ( hskp2
      | ! [X102] :
          ( ~ ndr1_0
          | c2_1(X102)
          | c3_1(X102)
          | c1_1(X102) )
      | ! [X101] :
          ( c1_1(X101)
          | ~ ndr1_0
          | c3_1(X101)
          | c0_1(X101) ) )
    & ( hskp24
      | hskp3
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ c0_1(X98) ) )
    & ( hskp12
      | hskp22
      | hskp14 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c2_1(X96)
          | c0_1(X96) )
      | hskp0
      | ! [X97] :
          ( c2_1(X97)
          | ~ c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | c1_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35) )
      | ! [X34] :
          ( c2_1(X34)
          | c0_1(X34)
          | ~ ndr1_0
          | ~ c3_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | c1_1(X33)
          | c0_1(X33) ) )
    & ( ! [X85] :
          ( ~ c0_1(X85)
          | ~ ndr1_0
          | ~ c2_1(X85)
          | c1_1(X85) )
      | ! [X87] :
          ( ~ ndr1_0
          | c3_1(X87)
          | ~ c2_1(X87)
          | c0_1(X87) )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0
          | c2_1(X86) ) )
    & ( hskp7
      | hskp27
      | hskp26 )
    & ( ( c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0
        & ~ c2_1(a1036) )
      | ~ hskp18 )
    & ( ( ndr1_0
        & ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015) )
      | ~ hskp11 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0
          | ~ c2_1(X3) )
      | ! [X2] :
          ( c3_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0
          | c2_1(X2) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1026)
        & ~ c1_1(a1026)
        & ~ c0_1(a1026) ) )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( hskp6
      | ! [X115] :
          ( c3_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0
          | c0_1(X115) )
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ ndr1_0
          | ~ c2_1(X114)
          | ~ c0_1(X114) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | c1_1(X76)
          | c3_1(X76)
          | c2_1(X76) )
      | hskp13
      | ! [X75] :
          ( ~ ndr1_0
          | c1_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75) ) )
    & ( ! [X67] :
          ( ~ c2_1(X67)
          | ~ ndr1_0
          | c3_1(X67)
          | ~ c1_1(X67) )
      | hskp10
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c1_1(X66)
          | c3_1(X66) ) )
    & ( ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | c2_1(X78)
          | c3_1(X78) )
      | hskp22
      | ! [X77] :
          ( ~ c3_1(X77)
          | c1_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c2_1(X11)
          | ~ c1_1(X11)
          | c0_1(X11) )
      | hskp7
      | ! [X12] :
          ( ~ c3_1(X12)
          | c1_1(X12)
          | ~ ndr1_0
          | c2_1(X12) ) )
    & ( ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | hskp15
      | ! [X44] :
          ( c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0
          | c3_1(X44) ) )
    & ( ( ~ c3_1(a1008)
        & ndr1_0
        & ~ c1_1(a1008)
        & c2_1(a1008) )
      | ~ hskp7 )
    & ( hskp25
      | hskp19
      | hskp24 )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a1011)
        & ~ c2_1(a1011)
        & c0_1(a1011) ) )
    & ( hskp4
      | hskp23
      | ! [X10] :
          ( c3_1(X10)
          | ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0
          | c3_1(X92) )
      | hskp4 )
    & ( hskp19
      | hskp26
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62) ) )
    & ( hskp3
      | ! [X29] :
          ( ~ ndr1_0
          | c1_1(X29)
          | c0_1(X29)
          | ~ c2_1(X29) )
      | ! [X30] :
          ( c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0
          | c2_1(X30) ) )
    & ( hskp1
      | ! [X90] :
          ( c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1040)
        & c3_1(a1040)
        & c0_1(a1040) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45) )
      | ! [X46] :
          ( c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0
          | ~ c2_1(X46) )
      | hskp8 )
    & ( ~ hskp1
      | ( c2_1(a1001)
        & c3_1(a1001)
        & ~ c1_1(a1001)
        & ndr1_0 ) )
    & ( ( ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0
        & ~ c3_1(a1005) )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1003)
        & c1_1(a1003)
        & ndr1_0
        & ~ c0_1(a1003) )
      | ~ hskp3 )
    & ( ~ hskp0
      | ( c0_1(a1000)
        & c2_1(a1000)
        & ~ c3_1(a1000)
        & ndr1_0 ) )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c2_1(a1023)
        & c3_1(a1023)
        & ~ c1_1(a1023) ) )
    & ( ! [X70] :
          ( ~ c3_1(X70)
          | ~ ndr1_0
          | c1_1(X70)
          | ~ c0_1(X70) )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ ndr1_0
          | ~ c1_1(X72)
          | ~ c3_1(X72) ) )
    & ( ! [X0] :
          ( ~ c2_1(X0)
          | c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c1_1(X1)
          | c0_1(X1)
          | ~ ndr1_0
          | ~ c2_1(X1) )
      | hskp8 )
    & ( ! [X59] :
          ( ~ ndr1_0
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ c0_1(X59) )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61) ) )
    & ( ( c2_1(a1004)
        & c1_1(a1004)
        & ~ c3_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ! [X15] :
          ( ~ c3_1(X15)
          | c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0
          | c0_1(X16) )
      | hskp15 )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1010)
        & c3_1(a1010)
        & ~ c1_1(a1010) ) )
    & ( ! [X42] :
          ( c1_1(X42)
          | ~ ndr1_0
          | c3_1(X42)
          | ~ c0_1(X42) )
      | hskp21
      | hskp29 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( ( c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0
        & ~ c3_1(a1044) )
      | ~ hskp23 )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ ndr1_0
          | c2_1(X93)
          | ~ c3_1(X93) )
      | hskp22
      | hskp6 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ~ hskp1
      | ( c2_1(a1001)
        & c3_1(a1001)
        & ~ c1_1(a1001)
        & ndr1_0 ) )
    & ( ~ hskp12
      | ( c1_1(a1019)
        & ~ c0_1(a1019)
        & ndr1_0
        & c2_1(a1019) ) )
    & ( ( c3_1(a1045)
        & ndr1_0
        & c1_1(a1045)
        & ~ c0_1(a1045) )
      | ~ hskp24 )
    & ( hskp3
      | hskp26
      | hskp29 )
    & ( hskp10
      | hskp18
      | ! [X36] :
          ( c1_1(X36)
          | ~ c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c2_1(X80)
          | c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015) )
      | ~ hskp11 )
    & ( hskp17
      | ! [X27] :
          ( c2_1(X27)
          | c1_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1010)
        & c3_1(a1010)
        & ~ c1_1(a1010) ) )
    & ( ( ~ c2_1(a1030)
        & ~ c3_1(a1030)
        & ndr1_0
        & c1_1(a1030) )
      | ~ hskp16 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a1011)
        & ~ c2_1(a1011)
        & c0_1(a1011) ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp5
      | ! [X47] :
          ( c0_1(X47)
          | ~ c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X12] :
          ( c2_1(X12)
          | c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c0_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ~ hskp27
      | ( c0_1(a1029)
        & c3_1(a1029)
        & c2_1(a1029)
        & ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c0_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c1_1(X113)
          | ~ ndr1_0 )
      | hskp8
      | hskp28 )
    & ( hskp3
      | ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | hskp25 )
    & ( hskp4
      | hskp19
      | ! [X92] :
          ( c3_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp23
      | ! [X10] :
          ( ~ c2_1(X10)
          | c3_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a1002)
        & ~ c1_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp19
      | hskp26
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a1032)
        & ndr1_0
        & c3_1(a1032)
        & c2_1(a1032) )
      | ~ hskp17 )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | c2_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | hskp3
      | hskp23 )
    & ( ! [X8] :
          ( ~ c0_1(X8)
          | ~ c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | hskp12
      | ! [X7] :
          ( c1_1(X7)
          | c3_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X42] :
          ( c1_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp29
      | hskp13
      | hskp23 )
    & ( ! [X105] :
          ( c0_1(X105)
          | c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c1_1(X104)
          | c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | c0_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c0_1(X101)
          | c1_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | hskp2 )
    & ( hskp0
      | ! [X97] :
          ( c0_1(X97)
          | ~ c1_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | hskp26 )
    & ( hskp11
      | ! [X83] :
          ( c0_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c1_1(X82)
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c1_1(X99)
          | c3_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | hskp7
      | ! [X100] :
          ( ~ c1_1(X100)
          | c0_1(X100)
          | c3_1(X100)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0
        & ~ c3_1(a1041) ) )
    & ( ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | hskp4
      | ! [X20] :
          ( ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp3
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ( ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0
        & ~ c3_1(a1005) )
      | ~ hskp5 )
    & ( ! [X106] :
          ( ~ c0_1(X106)
          | ~ c1_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | hskp6
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c3_1(X4)
          | c2_1(X4)
          | c0_1(X4)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( ~ c2_1(X26)
          | c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp9
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c2_1(a1023)
        & c3_1(a1023)
        & ~ c1_1(a1023) ) )
    & ( hskp1
      | ! [X108] :
          ( c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | hskp15
      | ! [X44] :
          ( c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1026)
        & ~ c1_1(a1026)
        & ~ c0_1(a1026) ) )
    & ( hskp12
      | hskp5
      | hskp29 )
    & ( ( ~ c3_1(a1037)
        & ~ c0_1(a1037)
        & ~ c1_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp10
      | ! [X67] :
          ( c3_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | ~ c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( hskp23
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X90] :
          ( c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | hskp2 )
    & ( hskp6
      | ! [X32] :
          ( c1_1(X32)
          | ~ c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c3_1(X35)
          | c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c0_1(X85)
          | ~ c2_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c0_1(X87)
          | c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( c0_1(a1033)
        & ndr1_0
        & c2_1(a1033)
        & c1_1(a1033) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1040)
        & c3_1(a1040)
        & c0_1(a1040) ) )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ c2_1(X110)
          | c3_1(X110)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c2_1(X109)
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp14
      | ! [X112] :
          ( c2_1(X112)
          | ~ c3_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | ~ c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp15
      | ! [X9] :
          ( c1_1(X9)
          | ~ c3_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp26
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0
        & ~ c3_1(a1044) )
      | ~ hskp23 )
    & ( ( ndr1_0
        & ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025) )
      | ~ hskp14 )
    & ( ~ hskp6
      | ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 ) )
    & ( hskp12
      | hskp9
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X41] :
          ( ~ c1_1(X41)
          | c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ( c2_1(a1004)
        & c1_1(a1004)
        & ~ c3_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ndr1_0
        & c1_1(a1048)
        & ~ c0_1(a1048)
        & ~ c3_1(a1048) )
      | ~ hskp25 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ~ c2_1(a1043) ) )
    & ( ~ hskp0
      | ( c0_1(a1000)
        & c2_1(a1000)
        & ~ c3_1(a1000)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c3_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c0_1(X40)
          | ~ c1_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c3_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp6
      | hskp12 )
    & ( hskp6
      | hskp22
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( hskp19
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | hskp22
      | ! [X77] :
          ( ~ c0_1(X77)
          | c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 ) )
    & ( ~ hskp10
      | ( ~ c3_1(a1012)
        & c0_1(a1012)
        & ndr1_0
        & ~ c1_1(a1012) ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp22
      | hskp14 )
    & ( ( ~ c2_1(a1003)
        & c1_1(a1003)
        & ndr1_0
        & ~ c0_1(a1003) )
      | ~ hskp3 )
    & ( ! [X54] :
          ( c1_1(X54)
          | ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c2_1(X53)
          | c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X58] :
          ( ~ c1_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X57] :
          ( ~ c0_1(X57)
          | c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | hskp20
      | ! [X56] :
          ( ~ c0_1(X56)
          | c1_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp19
      | hskp24 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | c1_1(X0)
          | ~ c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c0_1(X1)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X5] :
          ( c2_1(X5)
          | c0_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X23] :
          ( c3_1(X23)
          | c0_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c2_1(X22)
          | ~ c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ~ c2_1(a1052) ) )
    & ( ! [X69] :
          ( ~ c2_1(X69)
          | c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c1_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ( c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0
        & ~ c2_1(a1036) )
      | ~ hskp18 )
    & ( ! [X29] :
          ( c0_1(X29)
          | ~ c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ( ~ c3_1(a1008)
        & ndr1_0
        & ~ c1_1(a1008)
        & c2_1(a1008) )
      | ~ hskp7 )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | hskp6
      | ! [X115] :
          ( c0_1(X115)
          | ~ c1_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ~ hskp1
      | ( c2_1(a1001)
        & c3_1(a1001)
        & ~ c1_1(a1001)
        & ndr1_0 ) )
    & ( ~ hskp12
      | ( c1_1(a1019)
        & ~ c0_1(a1019)
        & ndr1_0
        & c2_1(a1019) ) )
    & ( ( c3_1(a1045)
        & ndr1_0
        & c1_1(a1045)
        & ~ c0_1(a1045) )
      | ~ hskp24 )
    & ( hskp3
      | hskp26
      | hskp29 )
    & ( hskp10
      | hskp18
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | ~ c3_1(X36)
            | c2_1(X36) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c3_1(X81)
            | ~ c1_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | c0_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c0_1(X79)
            | ~ c1_1(X79) ) ) )
    & ( ( ndr1_0
        & ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015) )
      | ~ hskp11 )
    & ( hskp17
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | c1_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | ~ c1_1(X28) ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1010)
        & c3_1(a1010)
        & ~ c1_1(a1010) ) )
    & ( ( ~ c2_1(a1030)
        & ~ c3_1(a1030)
        & ndr1_0
        & c1_1(a1030) )
      | ~ hskp16 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a1011)
        & ~ c2_1(a1011)
        & c0_1(a1011) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | ~ c0_1(X48) ) )
      | hskp5
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c3_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp7
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c1_1(X12)
            | ~ c3_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( ~ hskp27
      | ( c0_1(a1029)
        & c3_1(a1029)
        & c2_1(a1029)
        & ndr1_0 ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c1_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c0_1(X70)
            | ~ c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c0_1(X71)
            | ~ c1_1(X71) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c1_1(X46) ) )
      | hskp8 )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c2_1(X113)
            | c1_1(X113) ) )
      | hskp8
      | hskp28 )
    & ( hskp3
      | ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c0_1(X95) ) )
      | hskp25 )
    & ( hskp4
      | hskp19
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c1_1(X92)
            | ~ c0_1(X92) ) ) )
    & ( hskp4
      | hskp23
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | c3_1(X10)
            | ~ c1_1(X10) ) ) )
    & ( ( c2_1(a1002)
        & ~ c1_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp19
      | hskp26
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | ~ c0_1(X62) ) ) )
    & ( ( ~ c0_1(a1032)
        & ndr1_0
        & c3_1(a1032)
        & c2_1(a1032) )
      | ~ hskp17 )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | c2_1(X94)
            | ~ c0_1(X94) ) )
      | hskp3
      | hskp23 )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c3_1(X8)
            | c2_1(X8) ) )
      | hskp12
      | ! [X7] :
          ( ndr1_0
         => ( c1_1(X7)
            | c3_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp29
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | c3_1(X42)
            | ~ c0_1(X42) ) )
      | hskp21 )
    & ( hskp29
      | hskp13
      | hskp23 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c0_1(X105)
            | c2_1(X105)
            | c1_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | c0_1(X104)
            | ~ c2_1(X104) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | c0_1(X103)
            | ~ c3_1(X103) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( c0_1(X101)
            | c1_1(X101)
            | c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c1_1(X102)
            | c3_1(X102) ) )
      | hskp2 )
    & ( hskp0
      | ! [X97] :
          ( ndr1_0
         => ( c0_1(X97)
            | ~ c1_1(X97)
            | c2_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp7
      | hskp27
      | hskp26 )
    & ( hskp11
      | ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | c3_1(X83)
            | ~ c2_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c3_1(X82)
            | ~ c0_1(X82) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | c3_1(X99)
            | ~ c2_1(X99) ) )
      | hskp7
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c0_1(X100)
            | c3_1(X100) ) ) )
    & ( ~ hskp21
      | ( ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0
        & ~ c3_1(a1041) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) )
      | hskp4
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp24
      | hskp3
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | ~ c3_1(X98)
            | ~ c0_1(X98) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | c3_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | ~ c0_1(X75)
            | c1_1(X75) ) )
      | hskp13 )
    & ( ( ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0
        & ~ c3_1(a1005) )
      | ~ hskp5 )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | ~ c1_1(X106)
            | c2_1(X106) ) )
      | hskp6
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c0_1(X107)
            | ~ c2_1(X107) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c2_1(X4)
            | c0_1(X4) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | c3_1(X3)
            | c1_1(X3) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c0_1(X26)
            | ~ c3_1(X26) ) )
      | hskp9
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | c3_1(X25)
            | ~ c1_1(X25) ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c2_1(a1023)
        & c3_1(a1023)
        & ~ c1_1(a1023) ) )
    & ( hskp1
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) )
      | hskp0 )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | ~ c2_1(X43)
            | c3_1(X43) ) )
      | hskp15
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c1_1(X44)
            | c2_1(X44) ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1026)
        & ~ c1_1(a1026)
        & ~ c0_1(a1026) ) )
    & ( hskp12
      | hskp5
      | hskp29 )
    & ( ( ~ c3_1(a1037)
        & ~ c0_1(a1037)
        & ~ c1_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | hskp10
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | ~ c1_1(X67)
            | ~ c2_1(X67) ) ) )
    & ( hskp6
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c3_1(X37)
            | ~ c2_1(X37) ) ) )
    & ( hskp15
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c1_1(X16)
            | ~ c3_1(X16) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) )
      | hskp7
      | hskp8 )
    & ( hskp23
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c3_1(X91)
            | c1_1(X91) ) ) )
    & ( hskp1
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | ~ c2_1(X90)
            | c0_1(X90) ) )
      | hskp2 )
    & ( hskp6
      | ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | ~ c3_1(X32)
            | ~ c2_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | ~ c2_1(X31)
            | c1_1(X31) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | c1_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c3_1(X33)
            | c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c0_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c2_1(X85)
            | c1_1(X85) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | c3_1(X87)
            | ~ c2_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | ~ c0_1(X86) ) ) )
    & ( ~ hskp28
      | ( c0_1(a1033)
        & ndr1_0
        & c2_1(a1033)
        & c1_1(a1033) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1040)
        & c3_1(a1040)
        & c0_1(a1040) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c2_1(X110)
            | c3_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c1_1(X109)
            | ~ c0_1(X109) ) )
      | hskp17 )
    & ( hskp14
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | ~ c3_1(X112)
            | ~ c0_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp24
      | hskp15
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | ~ c3_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp8
      | hskp26
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c2_1(X84)
            | ~ c1_1(X84) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c2_1(X61)
            | c3_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | ~ c0_1(X59) ) ) )
    & ( ( c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0
        & ~ c3_1(a1044) )
      | ~ hskp23 )
    & ( ( ndr1_0
        & ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025) )
      | ~ hskp14 )
    & ( ~ hskp6
      | ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 ) )
    & ( hskp12
      | hskp9
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | ~ c2_1(X13)
            | ~ c1_1(X13) ) ) )
    & ( hskp6
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c2_1(X41)
            | ~ c0_1(X41) ) )
      | hskp13 )
    & ( ( c2_1(a1004)
        & c1_1(a1004)
        & ~ c3_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ndr1_0
        & c1_1(a1048)
        & ~ c0_1(a1048)
        & ~ c3_1(a1048) )
      | ~ hskp25 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ~ c2_1(a1043) ) )
    & ( ~ hskp0
      | ( c0_1(a1000)
        & c2_1(a1000)
        & ~ c3_1(a1000)
        & ndr1_0 ) )
    & ( hskp7
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | ~ c0_1(X52) ) ) )
    & ( hskp11
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c3_1(X39)
            | c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | ~ c1_1(X40)
            | c3_1(X40) ) ) )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c3_1(X14)
            | ~ c1_1(X14) ) )
      | hskp6
      | hskp12 )
    & ( hskp6
      | hskp22
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c2_1(X93)
            | ~ c3_1(X93) ) ) )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( hskp19
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c1_1(X89)
            | ~ c0_1(X89) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c3_1(X78)
            | c2_1(X78) ) )
      | hskp22
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c1_1(X77)
            | ~ c3_1(X77) ) ) )
    & ( ~ hskp10
      | ( ~ c3_1(a1012)
        & c0_1(a1012)
        & ndr1_0
        & ~ c1_1(a1012) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c0_1(X63)
            | c1_1(X63) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c0_1(X64)
            | c3_1(X64) ) ) )
    & ( hskp12
      | hskp22
      | hskp14 )
    & ( ( ~ c2_1(a1003)
        & c1_1(a1003)
        & ndr1_0
        & ~ c0_1(a1003) )
      | ~ hskp3 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | ~ c0_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c0_1(X53)
            | c1_1(X53) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) ) )
    & ( hskp9
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | c2_1(X58)
            | c0_1(X58) ) )
      | hskp10 )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c2_1(X57)
            | c3_1(X57) ) )
      | hskp20
      | ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | c1_1(X56)
            | c3_1(X56) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | c0_1(X17)
            | c3_1(X17) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c3_1(X19)
            | ~ c1_1(X19) ) ) )
    & ( hskp27
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c1_1(X50)
            | ~ c2_1(X50) ) ) )
    & ( hskp25
      | hskp19
      | hskp24 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | c1_1(X0)
            | ~ c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | c0_1(X1) ) )
      | hskp8 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c0_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c3_1(X6)
            | ~ c0_1(X6) ) )
      | hskp4 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | c0_1(X23)
            | ~ c1_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c3_1(X24)
            | ~ c1_1(X24) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c2_1(X22)
            | ~ c3_1(X22)
            | c1_1(X22) ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ~ c2_1(a1052) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c0_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c1_1(X68)
            | c2_1(X68) ) )
      | hskp13 )
    & ( ( c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0
        & ~ c2_1(a1036) )
      | ~ hskp18 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | ~ c2_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | ~ c1_1(X30)
            | c2_1(X30) ) )
      | hskp3 )
    & ( ( ~ c3_1(a1008)
        & ndr1_0
        & ~ c1_1(a1008)
        & c2_1(a1008) )
      | ~ hskp7 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) )
      | hskp6
      | ! [X115] :
          ( ndr1_0
         => ( c0_1(X115)
            | ~ c1_1(X115)
            | c3_1(X115) ) ) )
    & ( hskp16
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ~ hskp1
          | ( c2_1(a1001)
            & c3_1(a1001)
            & ~ c1_1(a1001)
            & ndr1_0 ) )
        & ( ~ hskp12
          | ( c1_1(a1019)
            & ~ c0_1(a1019)
            & ndr1_0
            & c2_1(a1019) ) )
        & ( ( c3_1(a1045)
            & ndr1_0
            & c1_1(a1045)
            & ~ c0_1(a1045) )
          | ~ hskp24 )
        & ( hskp3
          | hskp26
          | hskp29 )
        & ( hskp10
          | hskp18
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c3_1(X36)
                | c2_1(X36) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c3_1(X81)
                | ~ c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c0_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c0_1(X79)
                | ~ c1_1(X79) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a1015)
            & ~ c0_1(a1015)
            & c3_1(a1015) )
          | ~ hskp11 )
        & ( hskp17
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | c1_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | ~ c1_1(X28) ) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1010)
            & c3_1(a1010)
            & ~ c1_1(a1010) ) )
        & ( ( ~ c2_1(a1030)
            & ~ c3_1(a1030)
            & ndr1_0
            & c1_1(a1030) )
          | ~ hskp16 )
        & ( ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ~ c0_1(a1038)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a1011)
            & ~ c2_1(a1011)
            & c0_1(a1011) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | hskp5
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c3_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp7
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( ~ hskp27
          | ( c0_1(a1029)
            & c3_1(a1029)
            & c2_1(a1029)
            & ndr1_0 ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c0_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c0_1(X71)
                | ~ c1_1(X71) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | hskp8 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c2_1(X113)
                | c1_1(X113) ) )
          | hskp8
          | hskp28 )
        & ( hskp3
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c0_1(X95) ) )
          | hskp25 )
        & ( hskp4
          | hskp19
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp4
          | hskp23
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | ~ c1_1(X10) ) ) )
        & ( ( c2_1(a1002)
            & ~ c1_1(a1002)
            & c0_1(a1002)
            & ndr1_0 )
          | ~ hskp2 )
        & ( hskp19
          | hskp26
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | ~ c0_1(X62) ) ) )
        & ( ( ~ c0_1(a1032)
            & ndr1_0
            & c3_1(a1032)
            & c2_1(a1032) )
          | ~ hskp17 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c2_1(X94)
                | ~ c0_1(X94) ) )
          | hskp3
          | hskp23 )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c3_1(X8)
                | c2_1(X8) ) )
          | hskp12
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c3_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp29
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c3_1(X42)
                | ~ c0_1(X42) ) )
          | hskp21 )
        & ( hskp29
          | hskp13
          | hskp23 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c0_1(X105)
                | c2_1(X105)
                | c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | c0_1(X104)
                | ~ c2_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c0_1(X103)
                | ~ c3_1(X103) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c0_1(X101)
                | c1_1(X101)
                | c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c1_1(X102)
                | c3_1(X102) ) )
          | hskp2 )
        & ( hskp0
          | ! [X97] :
              ( ndr1_0
             => ( c0_1(X97)
                | ~ c1_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp7
          | hskp27
          | hskp26 )
        & ( hskp11
          | ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c3_1(X82)
                | ~ c0_1(X82) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | c3_1(X99)
                | ~ c2_1(X99) ) )
          | hskp7
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c0_1(X100)
                | c3_1(X100) ) ) )
        & ( ~ hskp21
          | ( ~ c0_1(a1041)
            & c2_1(a1041)
            & ndr1_0
            & ~ c3_1(a1041) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | hskp4
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp24
          | hskp3
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c3_1(X98)
                | ~ c0_1(X98) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | c3_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) )
          | hskp13 )
        & ( ( ~ c2_1(a1005)
            & ~ c1_1(a1005)
            & ndr1_0
            & ~ c3_1(a1005) )
          | ~ hskp5 )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | c2_1(X106) ) )
          | hskp6
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c0_1(X107)
                | ~ c2_1(X107) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c3_1(X3)
                | c1_1(X3) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c0_1(X26)
                | ~ c3_1(X26) ) )
          | hskp9
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c1_1(X25) ) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c2_1(a1023)
            & c3_1(a1023)
            & ~ c1_1(a1023) ) )
        & ( hskp1
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) )
          | hskp0 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c2_1(X43)
                | c3_1(X43) ) )
          | hskp15
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c1_1(X44)
                | c2_1(X44) ) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1026)
            & ~ c1_1(a1026)
            & ~ c0_1(a1026) ) )
        & ( hskp12
          | hskp5
          | hskp29 )
        & ( ( ~ c3_1(a1037)
            & ~ c0_1(a1037)
            & ~ c1_1(a1037)
            & ndr1_0 )
          | ~ hskp19 )
        & ( hskp20
          | hskp18
          | hskp23 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp10
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c1_1(X67)
                | ~ c2_1(X67) ) ) )
        & ( hskp6
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c3_1(X37)
                | ~ c2_1(X37) ) ) )
        & ( hskp15
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c1_1(X16)
                | ~ c3_1(X16) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) )
          | hskp7
          | hskp8 )
        & ( hskp23
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c3_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp1
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c2_1(X90)
                | c0_1(X90) ) )
          | hskp2 )
        & ( hskp6
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c3_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | ~ c2_1(X31)
                | c1_1(X31) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c1_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c3_1(X33)
                | c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c0_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c2_1(X85)
                | c1_1(X85) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | c3_1(X87)
                | ~ c2_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | ~ c0_1(X86) ) ) )
        & ( ~ hskp28
          | ( c0_1(a1033)
            & ndr1_0
            & c2_1(a1033)
            & c1_1(a1033) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a1040)
            & c3_1(a1040)
            & c0_1(a1040) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c2_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) )
          | hskp17 )
        & ( hskp14
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c3_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp24
          | hskp15
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | ~ c3_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp8
          | hskp26
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c2_1(X84)
                | ~ c1_1(X84) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c2_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | ~ c0_1(X59) ) ) )
        & ( ( c1_1(a1044)
            & c0_1(a1044)
            & ndr1_0
            & ~ c3_1(a1044) )
          | ~ hskp23 )
        & ( ( ndr1_0
            & ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025) )
          | ~ hskp14 )
        & ( ~ hskp6
          | ( ~ c2_1(a1006)
            & c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0 ) )
        & ( hskp12
          | hskp9
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c2_1(X13)
                | ~ c1_1(X13) ) ) )
        & ( hskp6
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | ~ c0_1(X41) ) )
          | hskp13 )
        & ( ( c2_1(a1004)
            & c1_1(a1004)
            & ~ c3_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ndr1_0
            & c1_1(a1048)
            & ~ c0_1(a1048)
            & ~ c3_1(a1048) )
          | ~ hskp25 )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c1_1(a1043)
            & c0_1(a1043)
            & ~ c2_1(a1043) ) )
        & ( ~ hskp0
          | ( c0_1(a1000)
            & c2_1(a1000)
            & ~ c3_1(a1000)
            & ndr1_0 ) )
        & ( hskp7
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) ) )
        & ( hskp11
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c3_1(X39)
                | c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | ~ c1_1(X40)
                | c3_1(X40) ) ) )
        & ( hskp4
          | hskp21
          | hskp7 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c3_1(X14)
                | ~ c1_1(X14) ) )
          | hskp6
          | hskp12 )
        & ( hskp6
          | hskp22
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c2_1(X93)
                | ~ c3_1(X93) ) ) )
        & ( hskp27
          | hskp6
          | hskp14 )
        & ( hskp19
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | hskp22
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c1_1(X77)
                | ~ c3_1(X77) ) ) )
        & ( ~ hskp10
          | ( ~ c3_1(a1012)
            & c0_1(a1012)
            & ndr1_0
            & ~ c1_1(a1012) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c0_1(X63)
                | c1_1(X63) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c0_1(X64)
                | c3_1(X64) ) ) )
        & ( hskp12
          | hskp22
          | hskp14 )
        & ( ( ~ c2_1(a1003)
            & c1_1(a1003)
            & ndr1_0
            & ~ c0_1(a1003) )
          | ~ hskp3 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | ~ c0_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c0_1(X53)
                | c1_1(X53) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( hskp9
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) )
          | hskp10 )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c3_1(X57) ) )
          | hskp20
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c1_1(X56)
                | c3_1(X56) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c0_1(X17)
                | c3_1(X17) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | ~ c1_1(X19) ) ) )
        & ( hskp27
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c1_1(X50)
                | ~ c2_1(X50) ) ) )
        & ( hskp25
          | hskp19
          | hskp24 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | c1_1(X0)
                | ~ c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | c0_1(X1) ) )
          | hskp8 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c0_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c3_1(X6)
                | ~ c0_1(X6) ) )
          | hskp4 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c0_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c3_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | ~ c3_1(X22)
                | c1_1(X22) ) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a1052)
            & c3_1(a1052)
            & ~ c2_1(a1052) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c0_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c1_1(X68)
                | c2_1(X68) ) )
          | hskp13 )
        & ( ( c3_1(a1036)
            & c1_1(a1036)
            & ndr1_0
            & ~ c2_1(a1036) )
          | ~ hskp18 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c2_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) )
          | hskp3 )
        & ( ( ~ c3_1(a1008)
            & ndr1_0
            & ~ c1_1(a1008)
            & c2_1(a1008) )
          | ~ hskp7 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | hskp6
          | ! [X115] :
              ( ndr1_0
             => ( c0_1(X115)
                | ~ c1_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ( c2_1(a1004)
            & c1_1(a1004)
            & ~ c3_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c1_1(X58)
                | ~ c3_1(X58) ) )
          | hskp8
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c2_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp4
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c0_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | hskp12 )
        & ( ( c3_1(a1045)
            & ndr1_0
            & c1_1(a1045)
            & ~ c0_1(a1045) )
          | ~ hskp24 )
        & ( hskp24
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) )
          | hskp15 )
        & ( hskp4
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c2_1(X111)
                | ~ c1_1(X111) ) )
          | hskp23 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | c0_1(X28)
                | ~ c1_1(X28) ) )
          | hskp7
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c3_1(X29)
                | c2_1(X29) ) ) )
        & ( ( ~ c2_1(a1003)
            & c1_1(a1003)
            & ndr1_0
            & ~ c0_1(a1003) )
          | ~ hskp3 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | ~ c2_1(X112) ) )
          | hskp12
          | hskp9 )
        & ( ( ~ c2_1(a1030)
            & ~ c3_1(a1030)
            & ndr1_0
            & c1_1(a1030) )
          | ~ hskp16 )
        & ( hskp12
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c0_1(X48)
                | ~ c1_1(X48) ) )
          | hskp6 )
        & ( hskp12
          | hskp5
          | hskp29 )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | ~ c3_1(X65)
                | c1_1(X65) ) )
          | hskp15
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c3_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c0_1(X18)
                | c3_1(X18) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c1_1(X20)
                | c3_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | ~ c1_1(X19) ) ) )
        & ( hskp4
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c0_1(X11)
                | c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c0_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ~ hskp27
          | ( c0_1(a1029)
            & c3_1(a1029)
            & c2_1(a1029)
            & ndr1_0 ) )
        & ( ( ~ c2_1(a1005)
            & ~ c1_1(a1005)
            & ndr1_0
            & ~ c3_1(a1005) )
          | ~ hskp5 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c0_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c3_1(X40)
                | ~ c1_1(X40) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c1_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) )
          | hskp9 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | c2_1(X76) ) )
          | hskp17
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | ~ c1_1(X77) ) ) )
        & ( hskp3
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c2_1(X9)
                | c1_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c2_1(X10)
                | c3_1(X10) ) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c2_1(a1023)
            & c3_1(a1023)
            & ~ c1_1(a1023) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c1_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c3_1(X88)
                | c1_1(X88) ) )
          | hskp6 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c3_1(X13)
                | c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c2_1(X14)
                | c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | ~ c2_1(X15) ) ) )
        & ( ( c1_1(a1044)
            & c0_1(a1044)
            & ndr1_0
            & ~ c3_1(a1044) )
          | ~ hskp23 )
        & ( hskp18
          | hskp10
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c3_1(X79)
                | c2_1(X79) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c0_1(X22) ) )
          | hskp6
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c3_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c0_1(X36)
                | ~ c1_1(X36) ) ) )
        & ( hskp6
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c2_1(X105)
                | ~ c0_1(X105) ) )
          | hskp13 )
        & ( hskp21
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) )
          | hskp29 )
        & ( ( ndr1_0
            & ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025) )
          | ~ hskp14 )
        & ( ( c3_1(a1036)
            & c1_1(a1036)
            & ndr1_0
            & ~ c2_1(a1036) )
          | ~ hskp18 )
        & ( hskp15
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c3_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c1_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp12
          | hskp22
          | hskp14 )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c0_1(X32)
                | c2_1(X32) ) )
          | hskp8
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | ~ c3_1(X16)
                | c0_1(X16) ) )
          | hskp5
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c0_1(X17)
                | ~ c1_1(X17) ) ) )
        & ( ( ~ c3_1(a1008)
            & ndr1_0
            & ~ c1_1(a1008)
            & c2_1(a1008) )
          | ~ hskp7 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) )
          | hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | hskp8
          | hskp7 )
        & ( hskp7
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c2_1(X113) ) ) )
        & ( ( ~ c0_1(a1032)
            & ndr1_0
            & c3_1(a1032)
            & c2_1(a1032) )
          | ~ hskp17 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c0_1(X6)
                | ~ c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c2_1(X7)
                | c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c2_1(X8)
                | ~ c0_1(X8) ) ) )
        & ( hskp7
          | hskp27
          | hskp26 )
        & ( hskp20
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c1_1(X82)
                | c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) ) )
        & ( hskp29
          | hskp13
          | hskp23 )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c0_1(X34)
                | c2_1(X34) ) )
          | hskp9
          | hskp10 )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1026)
            & ~ c1_1(a1026)
            & ~ c0_1(a1026) ) )
        & ( hskp4
          | hskp21
          | hskp7 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c3_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c2_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) ) )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | hskp26
          | hskp19 )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c2_1(X45)
                | c3_1(X45) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c1_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c3_1(X85)
                | ~ c2_1(X85) ) )
          | hskp10 )
        & ( ~ hskp28
          | ( c0_1(a1033)
            & ndr1_0
            & c2_1(a1033)
            & c1_1(a1033) ) )
        & ( ~ hskp1
          | ( c2_1(a1001)
            & c3_1(a1001)
            & ~ c1_1(a1001)
            & ndr1_0 ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c1_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | hskp13 )
        & ( ( ndr1_0
            & c1_1(a1048)
            & ~ c0_1(a1048)
            & ~ c3_1(a1048) )
          | ~ hskp25 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c3_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c3_1(X93)
                | ~ c2_1(X93) ) ) )
        & ( hskp20
          | hskp18
          | hskp23 )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp13
          | ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c1_1(X68)
                | c2_1(X68) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c1_1(X90)
                | c2_1(X90) ) )
          | hskp22 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c0_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c3_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c1_1(X63) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | ~ c3_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c0_1(X52)
                | ~ c2_1(X52) ) )
          | hskp11 )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1010)
            & c3_1(a1010)
            & ~ c1_1(a1010) ) )
        & ( hskp26
          | hskp8
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c2_1(X104)
                | ~ c1_1(X104) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c3_1(X51) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c0_1(X49)
                | ~ c2_1(X49) ) ) )
        & ( hskp19
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp1
          | hskp2
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c0_1(X54)
                | ~ c2_1(X54) ) ) )
        & ( hskp27
          | hskp6
          | hskp14 )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c1_1(a1043)
            & c0_1(a1043)
            & ~ c2_1(a1043) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a1052)
            & c3_1(a1052)
            & ~ c2_1(a1052) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c1_1(X94)
                | ~ c3_1(X94) ) )
          | hskp23 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp4
          | hskp19 )
        & ( hskp25
          | hskp19
          | hskp24 )
        & ( hskp22
          | hskp6
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | c2_1(X107)
                | ~ c1_1(X107) ) ) )
        & ( ~ hskp0
          | ( c0_1(a1000)
            & c2_1(a1000)
            & ~ c3_1(a1000)
            & ndr1_0 ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) )
          | hskp3
          | hskp23 )
        & ( hskp25
          | hskp3
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | c2_1(X99)
                | ~ c0_1(X99) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c0_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c1_1(X26)
                | c0_1(X26) ) )
          | hskp0 )
        & ( hskp3
          | hskp24
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( ~ hskp12
          | ( c1_1(a1019)
            & ~ c0_1(a1019)
            & ndr1_0
            & c2_1(a1019) ) )
        & ( hskp7
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c2_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c0_1(X4)
                | c1_1(X4) ) )
          | hskp2
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c3_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c0_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ~ hskp21
          | ( ~ c0_1(a1041)
            & c2_1(a1041)
            & ndr1_0
            & ~ c3_1(a1041) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | hskp6
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c3_1(X103)
                | ~ c0_1(X103) ) ) )
        & ( hskp3
          | hskp26
          | hskp29 )
        & ( ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ~ c0_1(a1038)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( c2_1(a1002)
            & ~ c1_1(a1002)
            & c0_1(a1002)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ~ hskp6
          | ( ~ c2_1(a1006)
            & c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0 ) )
        & ( ~ hskp10
          | ( ~ c3_1(a1012)
            & c0_1(a1012)
            & ndr1_0
            & ~ c1_1(a1012) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | hskp0
          | hskp1 )
        & ( ( ~ c3_1(a1037)
            & ~ c0_1(a1037)
            & ~ c1_1(a1037)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a1040)
            & c3_1(a1040)
            & c0_1(a1040) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | hskp17
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c2_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c2_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | ~ c0_1(X60) ) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a1011)
            & ~ c2_1(a1011)
            & c0_1(a1011) ) )
        & ( ( ndr1_0
            & ~ c1_1(a1015)
            & ~ c0_1(a1015)
            & c3_1(a1015) )
          | ~ hskp11 )
        & ( hskp28
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | c2_1(X78) ) )
          | hskp8 )
        & ( hskp6
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ( c2_1(a1004)
          & c1_1(a1004)
          & ~ c3_1(a1004)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | c1_1(X58)
              | ~ c3_1(X58) ) )
        | hskp8
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | ~ c2_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp4
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c0_1(X30)
              | c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | hskp12 )
      & ( ( c3_1(a1045)
          & ndr1_0
          & c1_1(a1045)
          & ~ c0_1(a1045) )
        | ~ hskp24 )
      & ( hskp24
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) )
        | hskp15 )
      & ( hskp4
        | ! [X111] :
            ( ndr1_0
           => ( c3_1(X111)
              | ~ c2_1(X111)
              | ~ c1_1(X111) ) )
        | hskp23 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | c0_1(X28)
              | ~ c1_1(X28) ) )
        | hskp7
        | ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | ~ c3_1(X29)
              | c2_1(X29) ) ) )
      & ( ( ~ c2_1(a1003)
          & c1_1(a1003)
          & ndr1_0
          & ~ c0_1(a1003) )
        | ~ hskp3 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | ~ c2_1(X112) ) )
        | hskp12
        | hskp9 )
      & ( ( ~ c2_1(a1030)
          & ~ c3_1(a1030)
          & ndr1_0
          & c1_1(a1030) )
        | ~ hskp16 )
      & ( hskp12
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | c0_1(X48)
              | ~ c1_1(X48) ) )
        | hskp6 )
      & ( hskp12
        | hskp5
        | hskp29 )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | ~ c3_1(X65)
              | c1_1(X65) ) )
        | hskp15
        | ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c3_1(X64)
              | ~ c1_1(X64) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c0_1(X18)
              | c3_1(X18) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | c1_1(X20)
              | c3_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c3_1(X19)
              | ~ c1_1(X19) ) ) )
      & ( hskp4
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c0_1(X11)
              | c1_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c0_1(X12)
              | ~ c3_1(X12) ) ) )
      & ( ~ hskp27
        | ( c0_1(a1029)
          & c3_1(a1029)
          & c2_1(a1029)
          & ndr1_0 ) )
      & ( ( ~ c2_1(a1005)
          & ~ c1_1(a1005)
          & ndr1_0
          & ~ c3_1(a1005) )
        | ~ hskp5 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | c0_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c3_1(X40)
              | ~ c1_1(X40) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c1_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) )
        | hskp9 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | c2_1(X76) ) )
        | hskp17
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | ~ c1_1(X77) ) ) )
      & ( hskp3
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | ~ c2_1(X9)
              | c1_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c2_1(X10)
              | c3_1(X10) ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c2_1(a1023)
          & c3_1(a1023)
          & ~ c1_1(a1023) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c1_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c3_1(X88)
              | c1_1(X88) ) )
        | hskp6 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c3_1(X13)
              | c1_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c2_1(X14)
              | c0_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | ~ c2_1(X15) ) ) )
      & ( ( c1_1(a1044)
          & c0_1(a1044)
          & ndr1_0
          & ~ c3_1(a1044) )
        | ~ hskp23 )
      & ( hskp18
        | hskp10
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c3_1(X79)
              | c2_1(X79) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c0_1(X22) ) )
        | hskp6
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c3_1(X21)
              | c2_1(X21) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c3_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | c0_1(X36)
              | ~ c1_1(X36) ) ) )
      & ( hskp6
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | c2_1(X105)
              | ~ c0_1(X105) ) )
        | hskp13 )
      & ( hskp21
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) )
        | hskp29 )
      & ( ( ndr1_0
          & ~ c3_1(a1025)
          & ~ c2_1(a1025)
          & c0_1(a1025) )
        | ~ hskp14 )
      & ( ( c3_1(a1036)
          & c1_1(a1036)
          & ndr1_0
          & ~ c2_1(a1036) )
        | ~ hskp18 )
      & ( hskp15
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | c3_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c1_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp12
        | hskp22
        | hskp14 )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c0_1(X32)
              | c2_1(X32) ) )
        | hskp8
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | ~ c3_1(X16)
              | c0_1(X16) ) )
        | hskp5
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | ~ c0_1(X17)
              | ~ c1_1(X17) ) ) )
      & ( ( ~ c3_1(a1008)
          & ndr1_0
          & ~ c1_1(a1008)
          & c2_1(a1008) )
        | ~ hskp7 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) )
        | hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | c2_1(X35) ) )
        | hskp8
        | hskp7 )
      & ( hskp7
        | ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c2_1(X113) ) ) )
      & ( ( ~ c0_1(a1032)
          & ndr1_0
          & c3_1(a1032)
          & c2_1(a1032) )
        | ~ hskp17 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c0_1(X6)
              | ~ c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | ~ c2_1(X7)
              | c1_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c2_1(X8)
              | ~ c0_1(X8) ) ) )
      & ( hskp7
        | hskp27
        | hskp26 )
      & ( hskp20
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c1_1(X82)
              | c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) ) )
      & ( hskp29
        | hskp13
        | hskp23 )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c0_1(X34)
              | c2_1(X34) ) )
        | hskp9
        | hskp10 )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a1026)
          & ~ c1_1(a1026)
          & ~ c0_1(a1026) ) )
      & ( hskp4
        | hskp21
        | hskp7 )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c3_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c2_1(X96)
              | ~ c3_1(X96) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) ) )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c0_1(X115)
              | ~ c2_1(X115) ) )
        | hskp26
        | hskp19 )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c2_1(X45)
              | c3_1(X45) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | c1_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | c3_1(X85)
              | ~ c2_1(X85) ) )
        | hskp10 )
      & ( ~ hskp28
        | ( c0_1(a1033)
          & ndr1_0
          & c2_1(a1033)
          & c1_1(a1033) ) )
      & ( ~ hskp1
        | ( c2_1(a1001)
          & c3_1(a1001)
          & ~ c1_1(a1001)
          & ndr1_0 ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c1_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) )
        | hskp13 )
      & ( ( ndr1_0
          & c1_1(a1048)
          & ~ c0_1(a1048)
          & ~ c3_1(a1048) )
        | ~ hskp25 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c3_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c3_1(X93)
              | ~ c2_1(X93) ) ) )
      & ( hskp20
        | hskp18
        | hskp23 )
      & ( hskp16
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp13
        | ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c3_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c1_1(X68)
              | c2_1(X68) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c3_1(X90)
              | ~ c1_1(X90)
              | c2_1(X90) ) )
        | hskp22 )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c0_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c3_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | ~ c1_1(X63) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | ~ c3_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c0_1(X52)
              | ~ c2_1(X52) ) )
        | hskp11 )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a1010)
          & c3_1(a1010)
          & ~ c1_1(a1010) ) )
      & ( hskp26
        | hskp8
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c2_1(X104)
              | ~ c1_1(X104) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c1_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c2_1(X51)
              | c3_1(X51) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | c0_1(X49)
              | ~ c2_1(X49) ) ) )
      & ( hskp19
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c0_1(X80)
              | c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp1
        | hskp2
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | c0_1(X54)
              | ~ c2_1(X54) ) ) )
      & ( hskp27
        | hskp6
        | hskp14 )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c1_1(a1043)
          & c0_1(a1043)
          & ~ c2_1(a1043) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a1052)
          & c3_1(a1052)
          & ~ c2_1(a1052) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c1_1(X94)
              | ~ c3_1(X94) ) )
        | hskp23 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | hskp4
        | hskp19 )
      & ( hskp25
        | hskp19
        | hskp24 )
      & ( hskp22
        | hskp6
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | c2_1(X107)
              | ~ c1_1(X107) ) ) )
      & ( ~ hskp0
        | ( c0_1(a1000)
          & c2_1(a1000)
          & ~ c3_1(a1000)
          & ndr1_0 ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) )
        | hskp3
        | hskp23 )
      & ( hskp25
        | hskp3
        | ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | c2_1(X99)
              | ~ c0_1(X99) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c0_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | ~ c1_1(X26)
              | c0_1(X26) ) )
        | hskp0 )
      & ( hskp3
        | hskp24
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( ~ hskp12
        | ( c1_1(a1019)
          & ~ c0_1(a1019)
          & ndr1_0
          & c2_1(a1019) ) )
      & ( hskp7
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | ~ c2_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c0_1(X4)
              | c1_1(X4) ) )
        | hskp2
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c3_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c0_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ~ hskp21
        | ( ~ c0_1(a1041)
          & c2_1(a1041)
          & ndr1_0
          & ~ c3_1(a1041) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | hskp6
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c3_1(X103)
              | ~ c0_1(X103) ) ) )
      & ( hskp3
        | hskp26
        | hskp29 )
      & ( ( ~ c2_1(a1038)
          & ~ c1_1(a1038)
          & ~ c0_1(a1038)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( c2_1(a1002)
          & ~ c1_1(a1002)
          & c0_1(a1002)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ~ hskp6
        | ( ~ c2_1(a1006)
          & c3_1(a1006)
          & c0_1(a1006)
          & ndr1_0 ) )
      & ( ~ hskp10
        | ( ~ c3_1(a1012)
          & c0_1(a1012)
          & ndr1_0
          & ~ c1_1(a1012) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | hskp0
        | hskp1 )
      & ( ( ~ c3_1(a1037)
          & ~ c0_1(a1037)
          & ~ c1_1(a1037)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a1040)
          & c3_1(a1040)
          & c0_1(a1040) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c2_1(X110) ) )
        | hskp17
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c2_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp14
        | ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c2_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | c2_1(X60)
              | ~ c0_1(X60) ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a1011)
          & ~ c2_1(a1011)
          & c0_1(a1011) ) )
      & ( ( ndr1_0
          & ~ c1_1(a1015)
          & ~ c0_1(a1015)
          & c3_1(a1015) )
        | ~ hskp11 )
      & ( hskp28
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c1_1(X78)
              | c2_1(X78) ) )
        | hskp8 )
      & ( hskp6
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c0_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f958,plain,
    ( ~ spl0_8
    | spl0_150 ),
    inference(avatar_split_clause,[],[f98,f955,f228]) ).

fof(f228,plain,
    ( spl0_8
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f98,plain,
    ( c1_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( spl0_149
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f188,f204,f950]) ).

fof(f204,plain,
    ( spl0_2
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f188,plain,
    ( ~ hskp23
    | c0_1(a1044) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f945,plain,
    ( ~ spl0_57
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f121,f942,f433]) ).

fof(f433,plain,
    ( spl0_57
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f121,plain,
    ( ~ c2_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f940,plain,
    ( ~ spl0_147
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f102,f578,f937]) ).

fof(f578,plain,
    ( spl0_85
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f102,plain,
    ( ~ hskp26
    | ~ c2_1(a1052) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f930,plain,
    ( ~ spl0_20
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f166,f927,f274]) ).

fof(f274,plain,
    ( spl0_20
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f166,plain,
    ( ~ c0_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f925,plain,
    ( spl0_4
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f178,f539,f213]) ).

fof(f539,plain,
    ( spl0_78
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f178,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f913,plain,
    ( spl0_20
    | spl0_47
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f35,f213,f204,f391,f274]) ).

fof(f35,plain,
    ! [X94] :
      ( ~ ndr1_0
      | hskp23
      | c2_1(X94)
      | hskp3
      | ~ c3_1(X94)
      | ~ c0_1(X94) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_3
    | spl0_141 ),
    inference(avatar_split_clause,[],[f111,f902,f209]) ).

fof(f209,plain,
    ( spl0_3
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f111,plain,
    ( c3_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_30
    | spl0_140 ),
    inference(avatar_split_clause,[],[f91,f897,f314]) ).

fof(f314,plain,
    ( spl0_30
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f91,plain,
    ( c0_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( spl0_139
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f189,f204,f892]) ).

fof(f189,plain,
    ( ~ hskp23
    | c1_1(a1044) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_30
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f92,f869,f314]) ).

fof(f92,plain,
    ( ~ c1_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_13
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f147,f853,f247]) ).

fof(f147,plain,
    ( ~ c1_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( spl0_51
    | spl0_49
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f49,f237,f213,f400,f407]) ).

fof(f49,plain,
    ! [X34,X35,X33] :
      ( c1_1(X33)
      | ~ ndr1_0
      | ~ c2_1(X35)
      | ~ c3_1(X33)
      | c2_1(X34)
      | c3_1(X35)
      | c1_1(X35)
      | c0_1(X33)
      | ~ c3_1(X34)
      | c0_1(X34) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( spl0_35
    | spl0_21
    | ~ spl0_4
    | spl0_15 ),
    inference(avatar_split_clause,[],[f8,f255,f213,f279,f338]) ).

fof(f338,plain,
    ( spl0_35
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f8,plain,
    ! [X82,X83] :
      ( c0_1(X83)
      | ~ ndr1_0
      | ~ c0_1(X82)
      | c1_1(X82)
      | ~ c3_1(X82)
      | ~ c2_1(X83)
      | c3_1(X83)
      | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f849,plain,
    ( ~ spl0_4
    | spl0_2
    | spl0_21 ),
    inference(avatar_split_clause,[],[f28,f279,f204,f213]) ).

fof(f28,plain,
    ! [X91] :
      ( ~ c3_1(X91)
      | hskp23
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c1_1(X91) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_3
    | spl0_131 ),
    inference(avatar_split_clause,[],[f110,f844,f209]) ).

fof(f110,plain,
    ( c2_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_4
    | spl0_20
    | spl0_52
    | spl0_59 ),
    inference(avatar_split_clause,[],[f61,f443,f410,f274,f213]) ).

fof(f61,plain,
    ! [X29,X30] :
      ( c3_1(X30)
      | c0_1(X29)
      | hskp3
      | c2_1(X30)
      | ~ c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c1_1(X30) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f829,plain,
    ( spl0_24
    | spl0_78
    | spl0_13 ),
    inference(avatar_split_clause,[],[f190,f247,f539,f289]) ).

fof(f289,plain,
    ( spl0_24
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f190,plain,
    ( hskp7
    | hskp4
    | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f828,plain,
    ( spl0_43
    | ~ spl0_4
    | spl0_49
    | spl0_14 ),
    inference(avatar_split_clause,[],[f63,f251,f400,f213,f376]) ).

fof(f376,plain,
    ( spl0_43
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f63,plain,
    ! [X46,X45] :
      ( ~ c1_1(X45)
      | c1_1(X46)
      | c2_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | c0_1(X45)
      | hskp8
      | c3_1(X46) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_85
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f104,f822,f578]) ).

fof(f104,plain,
    ( ~ c0_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_35
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f136,f817,f338]) ).

fof(f136,plain,
    ( ~ c1_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_4
    | spl0_90
    | spl0_92
    | spl0_122 ),
    inference(avatar_split_clause,[],[f34,f786,f617,f604,f213]) ).

fof(f34,plain,
    ! [X80,X81,X79] :
      ( ~ c2_1(X80)
      | ~ c1_1(X81)
      | ~ c2_1(X81)
      | ~ c1_1(X79)
      | c0_1(X79)
      | c0_1(X80)
      | ~ c3_1(X80)
      | ~ c3_1(X81)
      | ~ c3_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f812,plain,
    ( ~ spl0_126
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f122,f343,f809]) ).

fof(f343,plain,
    ( spl0_36
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f122,plain,
    ( ~ hskp24
    | ~ c0_1(a1045) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( spl0_123
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f168,f274,f792]) ).

fof(f168,plain,
    ( ~ hskp3
    | c1_1(a1003) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_24
    | spl0_4 ),
    inference(avatar_split_clause,[],[f95,f213,f289]) ).

fof(f95,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( spl0_57
    | spl0_121
    | spl0_122
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f24,f213,f786,f777,f433]) ).

fof(f24,plain,
    ! [X38,X37] :
      ( ~ ndr1_0
      | c0_1(X37)
      | ~ c3_1(X37)
      | c3_1(X38)
      | ~ c2_1(X37)
      | hskp6
      | c0_1(X38)
      | c2_1(X38) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( spl0_17
    | spl0_49
    | ~ spl0_4
    | spl0_121 ),
    inference(avatar_split_clause,[],[f51,f777,f213,f400,f261]) ).

fof(f51,plain,
    ! [X2,X3,X4] :
      ( c0_1(X4)
      | ~ ndr1_0
      | ~ c2_1(X3)
      | c2_1(X4)
      | c3_1(X3)
      | ~ c0_1(X2)
      | c2_1(X2)
      | c3_1(X4)
      | c1_1(X3)
      | c3_1(X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f769,plain,
    ( ~ spl0_8
    | spl0_119 ),
    inference(avatar_split_clause,[],[f101,f766,f228]) ).

fof(f101,plain,
    ( c0_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f759,plain,
    ( ~ spl0_4
    | spl0_41
    | spl0_90
    | spl0_21 ),
    inference(avatar_split_clause,[],[f67,f279,f604,f366,f213]) ).

fof(f366,plain,
    ( spl0_41
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f67,plain,
    ! [X16,X15] :
      ( ~ c3_1(X15)
      | c1_1(X15)
      | ~ c0_1(X15)
      | ~ c1_1(X16)
      | hskp15
      | ~ c3_1(X16)
      | c0_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f758,plain,
    ( ~ spl0_13
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f149,f755,f247]) ).

fof(f149,plain,
    ( ~ c3_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_116
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f176,f429,f748]) ).

fof(f429,plain,
    ( spl0_56
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f176,plain,
    ( ~ hskp13
    | ~ c2_1(a1023) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( spl0_21
    | spl0_30
    | spl0_59
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f55,f213,f443,f314,f279]) ).

fof(f55,plain,
    ! [X78,X77] :
      ( ~ ndr1_0
      | c2_1(X78)
      | hskp22
      | c3_1(X78)
      | ~ c3_1(X77)
      | c1_1(X77)
      | ~ c1_1(X78)
      | ~ c0_1(X77) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( ~ spl0_113
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f169,f274,f731]) ).

fof(f169,plain,
    ( ~ hskp3
    | ~ c2_1(a1003) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_35
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f135,f706,f338]) ).

fof(f135,plain,
    ( ~ c0_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f699,plain,
    ( ~ spl0_43
    | spl0_106 ),
    inference(avatar_split_clause,[],[f183,f696,f376]) ).

fof(f183,plain,
    ( c3_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( spl0_104
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f154,f293,f683]) ).

fof(f293,plain,
    ( spl0_25
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f154,plain,
    ( ~ hskp29
    | c0_1(a1040) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_4
    | spl0_68
    | spl0_45
    | spl0_47 ),
    inference(avatar_split_clause,[],[f66,f391,f383,f488,f213]) ).

fof(f66,plain,
    ! [X59,X60,X61] :
      ( c2_1(X59)
      | c1_1(X60)
      | ~ c2_1(X61)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | ~ c3_1(X59)
      | c3_1(X61)
      | ~ c0_1(X59) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( spl0_43
    | spl0_8
    | ~ spl0_4
    | spl0_12 ),
    inference(avatar_split_clause,[],[f26,f244,f213,f228,f376]) ).

fof(f26,plain,
    ! [X113] :
      ( c2_1(X113)
      | c1_1(X113)
      | ~ ndr1_0
      | hskp28
      | hskp8
      | ~ c3_1(X113) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( spl0_25
    | spl0_85
    | spl0_20 ),
    inference(avatar_split_clause,[],[f192,f274,f578,f293]) ).

fof(f192,plain,
    ( hskp3
    | hskp26
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_4
    | spl0_3
    | spl0_11
    | spl0_23 ),
    inference(avatar_split_clause,[],[f31,f285,f240,f209,f213]) ).

fof(f31,plain,
    ! [X109,X110] :
      ( ~ c0_1(X110)
      | ~ c2_1(X109)
      | ~ c1_1(X109)
      | c3_1(X110)
      | ~ c2_1(X110)
      | ~ c0_1(X109)
      | hskp17
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_57
    | spl0_99 ),
    inference(avatar_split_clause,[],[f120,f652,f433]) ).

fof(f120,plain,
    ( c3_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_98
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f174,f429,f646]) ).

fof(f174,plain,
    ( ~ hskp13
    | ~ c1_1(a1023) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_85
    | spl0_95 ),
    inference(avatar_split_clause,[],[f103,f631,f578]) ).

fof(f103,plain,
    ( c3_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f629,plain,
    ( ~ spl0_57
    | spl0_94 ),
    inference(avatar_split_clause,[],[f119,f626,f433]) ).

fof(f119,plain,
    ( c0_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f614,plain,
    ( ~ spl0_91
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f139,f366,f611]) ).

fof(f139,plain,
    ( ~ hskp15
    | ~ c1_1(a1026) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_25
    | spl0_89 ),
    inference(avatar_split_clause,[],[f156,f598,f293]) ).

fof(f156,plain,
    ( c1_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( spl0_88
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f125,f343,f593]) ).

fof(f125,plain,
    ( ~ hskp24
    | c3_1(a1045) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_43
    | spl0_86 ),
    inference(avatar_split_clause,[],[f184,f583,f376]) ).

fof(f184,plain,
    ( c0_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( spl0_43
    | spl0_85
    | ~ spl0_4
    | spl0_55 ),
    inference(avatar_split_clause,[],[f22,f425,f213,f578,f376]) ).

fof(f22,plain,
    ! [X84] :
      ( ~ c1_1(X84)
      | ~ ndr1_0
      | hskp26
      | c2_1(X84)
      | hskp8
      | ~ c0_1(X84) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_83
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f113,f209,f565]) ).

fof(f113,plain,
    ( ~ hskp17
    | ~ c0_1(a1032) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f533,plain,
    ( ~ spl0_56
    | spl0_76 ),
    inference(avatar_split_clause,[],[f175,f530,f429]) ).

fof(f175,plain,
    ( c3_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_26
    | spl0_56
    | ~ spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f53,f220,f213,f429,f297]) ).

fof(f53,plain,
    ! [X76,X75] :
      ( c3_1(X76)
      | ~ ndr1_0
      | hskp13
      | c1_1(X75)
      | c2_1(X76)
      | ~ c0_1(X75)
      | c3_1(X75)
      | c1_1(X76) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_13
    | ~ spl0_4
    | spl0_43
    | spl0_14 ),
    inference(avatar_split_clause,[],[f15,f251,f376,f213,f247]) ).

fof(f15,plain,
    ! [X51] :
      ( ~ c1_1(X51)
      | hskp8
      | ~ ndr1_0
      | c0_1(X51)
      | hskp7
      | c2_1(X51) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( spl0_73
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f134,f338,f513]) ).

fof(f134,plain,
    ( ~ hskp11
    | c3_1(a1015) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_72
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f138,f366,f508]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c0_1(a1026) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( ~ spl0_71
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f182,f376,f503]) ).

fof(f182,plain,
    ( ~ hskp8
    | ~ c1_1(a1010) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( ~ spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f140,f493,f366]) ).

fof(f140,plain,
    ( c2_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( ~ spl0_4
    | spl0_21
    | spl0_36
    | spl0_41 ),
    inference(avatar_split_clause,[],[f12,f366,f343,f279,f213]) ).

fof(f12,plain,
    ! [X9] :
      ( hskp15
      | hskp24
      | ~ c0_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0
      | c1_1(X9) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_64
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f123,f343,f467]) ).

fof(f123,plain,
    ( ~ hskp24
    | c1_1(a1045) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( ~ spl0_13
    | spl0_61 ),
    inference(avatar_split_clause,[],[f146,f452,f247]) ).

fof(f146,plain,
    ( c2_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( ~ spl0_4
    | spl0_55
    | spl0_16
    | spl0_52 ),
    inference(avatar_split_clause,[],[f18,f410,f258,f425,f213]) ).

fof(f18,plain,
    ! [X54,X55,X53] :
      ( c1_1(X53)
      | ~ c0_1(X54)
      | ~ c1_1(X55)
      | ~ c2_1(X54)
      | c0_1(X53)
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | c1_1(X54)
      | ~ c2_1(X53) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_54
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f155,f293,f420]) ).

fof(f155,plain,
    ( ~ hskp29
    | c3_1(a1040) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( spl0_13
    | ~ spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f36,f240,f213,f247]) ).

fof(f36,plain,
    ! [X52] :
      ( ~ c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X52)
      | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f349,plain,
    ( spl0_36
    | spl0_20
    | spl0_37
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f47,f213,f347,f274,f343]) ).

fof(f47,plain,
    ! [X98] :
      ( ~ ndr1_0
      | ~ c3_1(X98)
      | ~ c0_1(X98)
      | hskp3
      | hskp24
      | ~ c2_1(X98) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f90,f314,f310]) ).

fof(f90,plain,
    ( ~ hskp22
    | ~ c2_1(a1043) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f253,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f56,f251,f213,f247,f244]) ).

fof(f56,plain,
    ! [X11,X12] :
      ( ~ c1_1(X11)
      | ~ ndr1_0
      | c0_1(X11)
      | c2_1(X11)
      | hskp7
      | c2_1(X12)
      | c1_1(X12)
      | ~ c3_1(X12) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f231,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f99,f228,f224]) ).

fof(f99,plain,
    ( ~ hskp28
    | c2_1(a1033) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f207,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f186,f204,f200]) ).

fof(f186,plain,
    ( ~ hskp23
    | ~ c3_1(a1044) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN475+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.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 22:20:16 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (15042)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50  % (15051)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (15050)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (15046)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (15060)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (15054)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (15053)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (15040)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (15044)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (15043)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (15044)Instruction limit reached!
% 0.20/0.54  % (15044)------------------------------
% 0.20/0.54  % (15044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15044)Termination reason: Unknown
% 0.20/0.54  % (15044)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (15044)Memory used [KB]: 6140
% 0.20/0.54  % (15044)Time elapsed: 0.009 s
% 0.20/0.54  % (15044)Instructions burned: 9 (million)
% 0.20/0.54  % (15044)------------------------------
% 0.20/0.54  % (15044)------------------------------
% 0.20/0.54  % (15041)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (15064)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (15061)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (15037)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54  % (15039)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  Detected maximum model sizes of [30]
% 0.20/0.54  % (15056)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (15057)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54  % (15038)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (15055)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (15058)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (15065)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (15048)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (15066)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (15049)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (15045)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (15059)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55  % (15045)Instruction limit reached!
% 0.20/0.55  % (15045)------------------------------
% 0.20/0.55  % (15045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (15045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (15045)Termination reason: Unknown
% 0.20/0.55  % (15045)Termination phase: Preprocessing 1
% 0.20/0.55  
% 0.20/0.55  % (15045)Memory used [KB]: 1151
% 0.20/0.55  % (15045)Time elapsed: 0.002 s
% 0.20/0.55  % (15045)Instructions burned: 2 (million)
% 0.20/0.55  % (15045)------------------------------
% 0.20/0.55  % (15045)------------------------------
% 0.20/0.55  % (15063)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56  % (15047)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  Detected maximum model sizes of [30]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  % (15062)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (15052)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56  Detected maximum model sizes of [30]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  TRYING [3]
% 0.20/0.58  % (15042)Instruction limit reached!
% 0.20/0.58  % (15042)------------------------------
% 0.20/0.58  % (15042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (15042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (15042)Termination reason: Unknown
% 0.20/0.58  % (15042)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (15042)Memory used [KB]: 7164
% 0.20/0.58  % (15042)Time elapsed: 0.153 s
% 0.20/0.58  % (15042)Instructions burned: 49 (million)
% 0.20/0.58  % (15042)------------------------------
% 0.20/0.58  % (15042)------------------------------
% 0.20/0.58  TRYING [4]
% 0.20/0.58  TRYING [4]
% 0.20/0.59  % (15051)Instruction limit reached!
% 0.20/0.59  % (15051)------------------------------
% 0.20/0.59  % (15051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (15051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (15051)Termination reason: Unknown
% 0.20/0.59  % (15051)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (15051)Memory used [KB]: 6652
% 0.20/0.59  % (15051)Time elapsed: 0.035 s
% 0.20/0.59  % (15051)Instructions burned: 69 (million)
% 0.20/0.59  % (15051)------------------------------
% 0.20/0.59  % (15051)------------------------------
% 0.20/0.59  % (15039)Instruction limit reached!
% 0.20/0.59  % (15039)------------------------------
% 0.20/0.59  % (15039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (15039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (15039)Termination reason: Unknown
% 0.20/0.59  % (15039)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (15039)Memory used [KB]: 1535
% 0.20/0.59  % (15039)Time elapsed: 0.188 s
% 0.20/0.59  % (15039)Instructions burned: 38 (million)
% 0.20/0.59  % (15039)------------------------------
% 0.20/0.59  % (15039)------------------------------
% 0.20/0.60  % (15040)First to succeed.
% 0.20/0.60  % (15054)Instruction limit reached!
% 0.20/0.60  % (15054)------------------------------
% 0.20/0.60  % (15054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (15054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (15054)Termination reason: Unknown
% 0.20/0.60  % (15054)Termination phase: Finite model building SAT solving
% 0.20/0.60  
% 0.20/0.60  % (15054)Memory used [KB]: 6396
% 0.20/0.60  % (15054)Time elapsed: 0.106 s
% 0.20/0.60  % (15054)Instructions burned: 60 (million)
% 0.20/0.60  % (15054)------------------------------
% 0.20/0.60  % (15054)------------------------------
% 1.73/0.61  TRYING [5]
% 1.73/0.61  TRYING [5]
% 1.73/0.61  % (15043)Instruction limit reached!
% 1.73/0.61  % (15043)------------------------------
% 1.73/0.61  % (15043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61  % (15043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61  % (15043)Termination reason: Unknown
% 1.73/0.61  % (15043)Termination phase: Finite model building SAT solving
% 1.73/0.61  
% 1.73/0.61  % (15043)Memory used [KB]: 6396
% 1.73/0.61  % (15043)Time elapsed: 0.203 s
% 1.73/0.61  % (15043)Instructions burned: 53 (million)
% 1.73/0.61  % (15043)------------------------------
% 1.73/0.61  % (15043)------------------------------
% 2.02/0.62  % (15046)Instruction limit reached!
% 2.02/0.62  % (15046)------------------------------
% 2.02/0.62  % (15046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.62  % (15046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.62  % (15046)Termination reason: Unknown
% 2.02/0.62  % (15046)Termination phase: Saturation
% 2.02/0.62  
% 2.02/0.62  % (15046)Memory used [KB]: 1535
% 2.02/0.62  % (15046)Time elapsed: 0.200 s
% 2.02/0.62  % (15046)Instructions burned: 51 (million)
% 2.02/0.62  % (15046)------------------------------
% 2.02/0.62  % (15046)------------------------------
% 2.02/0.62  % (15040)Refutation found. Thanks to Tanya!
% 2.02/0.62  % SZS status Theorem for theBenchmark
% 2.02/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.63  % (15040)------------------------------
% 2.02/0.63  % (15040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.63  % (15040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.63  % (15040)Termination reason: Refutation
% 2.02/0.63  
% 2.02/0.63  % (15040)Memory used [KB]: 7291
% 2.02/0.63  % (15040)Time elapsed: 0.181 s
% 2.02/0.63  % (15040)Instructions burned: 38 (million)
% 2.02/0.63  % (15040)------------------------------
% 2.02/0.63  % (15040)------------------------------
% 2.02/0.63  % (15036)Success in time 0.263 s
%------------------------------------------------------------------------------