TSTP Solution File: SYN485+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN485+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.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 : Tue Apr 30 18:03:54 EDT 2024

% Result   : Theorem 0.12s 0.33s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  110
% Syntax   : Number of formulae    :  599 (   1 unt;   0 def)
%            Number of atoms       : 6478 (   0 equ)
%            Maximal formula atoms :  732 (  10 avg)
%            Number of connectives : 8818 (2939   ~;4124   |;1170   &)
%                                         ( 109 <=>; 476  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  112 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  145 ( 144 usr; 141 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  862 ( 862   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3070,plain,
    $false,
    inference(avatar_sat_refutation,[],[f286,f300,f305,f314,f331,f347,f351,f373,f391,f396,f404,f414,f418,f419,f420,f445,f447,f448,f449,f467,f481,f483,f484,f489,f493,f494,f495,f504,f507,f511,f512,f576,f581,f586,f592,f597,f602,f640,f645,f650,f656,f666,f720,f725,f730,f736,f741,f746,f747,f752,f757,f762,f768,f773,f778,f832,f837,f842,f848,f853,f858,f864,f869,f874,f880,f885,f890,f896,f901,f906,f912,f917,f922,f928,f933,f938,f944,f949,f954,f960,f970,f976,f981,f986,f987,f992,f997,f1002,f1008,f1013,f1018,f1037,f1080,f1103,f1205,f1240,f1303,f1305,f1313,f1398,f1400,f1411,f1447,f1518,f1534,f1572,f1642,f1705,f1728,f1788,f1825,f1851,f1868,f1911,f1933,f1950,f1953,f1960,f1989,f1994,f1999,f2002,f2020,f2143,f2184,f2304,f2307,f2310,f2395,f2424,f2459,f2461,f2468,f2505,f2509,f2524,f2565,f2650,f2695,f2792,f2828,f2979,f3059]) ).

fof(f3059,plain,
    ( ~ spl0_48
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f3058]) ).

fof(f3058,plain,
    ( $false
    | ~ spl0_48
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3057,f884]) ).

fof(f884,plain,
    ( c2_1(a2082)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_127
  <=> c2_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3057,plain,
    ( ~ c2_1(a2082)
    | ~ spl0_48
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3046,f879]) ).

fof(f879,plain,
    ( ~ c0_1(a2082)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f877,plain,
    ( spl0_126
  <=> c0_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f3046,plain,
    ( c0_1(a2082)
    | ~ c2_1(a2082)
    | ~ spl0_48
    | ~ spl0_128 ),
    inference(resolution,[],[f463,f889]) ).

fof(f889,plain,
    ( c1_1(a2082)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_128
  <=> c1_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f463,plain,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | c0_1(X58)
        | ~ c2_1(X58) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_48
  <=> ! [X58] :
        ( ~ c2_1(X58)
        | c0_1(X58)
        | ~ c1_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2979,plain,
    ( spl0_162
    | ~ spl0_22
    | ~ spl0_54
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2977,f759,f491,f341,f1991]) ).

fof(f1991,plain,
    ( spl0_162
  <=> c2_1(a2104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f341,plain,
    ( spl0_22
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f491,plain,
    ( spl0_54
  <=> ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75)
        | c2_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f759,plain,
    ( spl0_104
  <=> c3_1(a2104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2977,plain,
    ( c2_1(a2104)
    | ~ spl0_22
    | ~ spl0_54
    | ~ spl0_104 ),
    inference(resolution,[],[f2970,f761]) ).

fof(f761,plain,
    ( c3_1(a2104)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f2970,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | c2_1(X75) )
    | ~ spl0_22
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f492,f342]) ).

fof(f342,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f492,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75)
        | c2_1(X75) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f2828,plain,
    ( ~ spl0_37
    | ~ spl0_51
    | ~ spl0_57
    | spl0_120
    | spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2827]) ).

fof(f2827,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_51
    | ~ spl0_57
    | spl0_120
    | spl0_121 ),
    inference(subsumption_resolution,[],[f2820,f847]) ).

fof(f847,plain,
    ( ~ c3_1(a2087)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_120
  <=> c3_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2820,plain,
    ( c3_1(a2087)
    | ~ spl0_37
    | ~ spl0_51
    | ~ spl0_57
    | spl0_121 ),
    inference(resolution,[],[f2798,f852]) ).

fof(f852,plain,
    ( ~ c1_1(a2087)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_121
  <=> c1_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2798,plain,
    ( ! [X25] :
        ( c1_1(X25)
        | c3_1(X25) )
    | ~ spl0_37
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f408,f2775]) ).

fof(f2775,plain,
    ( ! [X91] :
        ( c0_1(X91)
        | c3_1(X91) )
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f510,f475]) ).

fof(f475,plain,
    ( ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl0_51
  <=> ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f510,plain,
    ( ! [X91] :
        ( c3_1(X91)
        | c0_1(X91)
        | c2_1(X91) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl0_57
  <=> ! [X91] :
        ( c3_1(X91)
        | c0_1(X91)
        | c2_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f408,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | c3_1(X25) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f407,plain,
    ( spl0_37
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | c3_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2792,plain,
    ( ~ spl0_51
    | ~ spl0_57
    | spl0_141
    | spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2791,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_57
    | spl0_141
    | spl0_143 ),
    inference(subsumption_resolution,[],[f2779,f959]) ).

fof(f959,plain,
    ( ~ c3_1(a2072)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f957,plain,
    ( spl0_141
  <=> c3_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2779,plain,
    ( c3_1(a2072)
    | ~ spl0_51
    | ~ spl0_57
    | spl0_143 ),
    inference(resolution,[],[f2775,f969]) ).

fof(f969,plain,
    ( ~ c0_1(a2072)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f967,plain,
    ( spl0_143
  <=> c0_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2695,plain,
    ( ~ spl0_20
    | ~ spl0_49
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2694]) ).

fof(f2694,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_49
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2693,f980]) ).

fof(f980,plain,
    ( c2_1(a2071)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f978,plain,
    ( spl0_145
  <=> c2_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2693,plain,
    ( ~ c2_1(a2071)
    | ~ spl0_20
    | ~ spl0_49
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2692,f985]) ).

fof(f985,plain,
    ( c0_1(a2071)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f983,plain,
    ( spl0_146
  <=> c0_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2692,plain,
    ( ~ c0_1(a2071)
    | ~ c2_1(a2071)
    | ~ spl0_20
    | ~ spl0_49
    | spl0_144
    | ~ spl0_145 ),
    inference(resolution,[],[f2681,f334]) ).

fof(f334,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f2681,plain,
    ( c1_1(a2071)
    | ~ spl0_49
    | spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2673,f975]) ).

fof(f975,plain,
    ( ~ c3_1(a2071)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl0_144
  <=> c3_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2673,plain,
    ( c1_1(a2071)
    | c3_1(a2071)
    | ~ spl0_49
    | ~ spl0_145 ),
    inference(resolution,[],[f466,f980]) ).

fof(f466,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c1_1(X57)
        | c3_1(X57) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f465,plain,
    ( spl0_49
  <=> ! [X57] :
        ( ~ c2_1(X57)
        | c1_1(X57)
        | c3_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2650,plain,
    ( spl0_164
    | ~ spl0_40
    | spl0_150
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2649,f1015,f1005,f422,f2022]) ).

fof(f2022,plain,
    ( spl0_164
  <=> c1_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f422,plain,
    ( spl0_40
  <=> ! [X34] :
        ( ~ c3_1(X34)
        | c1_1(X34)
        | c2_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1005,plain,
    ( spl0_150
  <=> c2_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1015,plain,
    ( spl0_152
  <=> c3_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2649,plain,
    ( c1_1(a2068)
    | ~ spl0_40
    | spl0_150
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2624,f1007]) ).

fof(f1007,plain,
    ( ~ c2_1(a2068)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f2624,plain,
    ( c1_1(a2068)
    | c2_1(a2068)
    | ~ spl0_40
    | ~ spl0_152 ),
    inference(resolution,[],[f423,f1017]) ).

fof(f1017,plain,
    ( c3_1(a2068)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f423,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | c1_1(X34)
        | c2_1(X34) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f2565,plain,
    ( spl0_81
    | ~ spl0_33
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2564,f647,f642,f389,f637]) ).

fof(f637,plain,
    ( spl0_81
  <=> c1_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f389,plain,
    ( spl0_33
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f642,plain,
    ( spl0_82
  <=> c3_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f647,plain,
    ( spl0_83
  <=> c0_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2564,plain,
    ( c1_1(a2149)
    | ~ spl0_33
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f2557,f644]) ).

fof(f644,plain,
    ( c3_1(a2149)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f2557,plain,
    ( c1_1(a2149)
    | ~ c3_1(a2149)
    | ~ spl0_33
    | ~ spl0_83 ),
    inference(resolution,[],[f390,f649]) ).

fof(f649,plain,
    ( c0_1(a2149)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f390,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2524,plain,
    ( ~ spl0_20
    | ~ spl0_48
    | ~ spl0_137
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2523]) ).

fof(f2523,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_48
    | ~ spl0_137
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2517,f937]) ).

fof(f937,plain,
    ( c1_1(a2076)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_137
  <=> c1_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2517,plain,
    ( ~ c1_1(a2076)
    | ~ spl0_20
    | ~ spl0_48
    | ~ spl0_154 ),
    inference(resolution,[],[f2514,f1060]) ).

fof(f1060,plain,
    ( c2_1(a2076)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f1059,plain,
    ( spl0_154
  <=> c2_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2514,plain,
    ( ! [X58] :
        ( ~ c2_1(X58)
        | ~ c1_1(X58) )
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f463,f334]) ).

fof(f2509,plain,
    ( ~ spl0_30
    | spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f2508]) ).

fof(f2508,plain,
    ( $false
    | ~ spl0_30
    | spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f2507,f767]) ).

fof(f767,plain,
    ( ~ c3_1(a2099)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl0_105
  <=> c3_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2507,plain,
    ( c3_1(a2099)
    | ~ spl0_30
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f2494,f772]) ).

fof(f772,plain,
    ( ~ c2_1(a2099)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_106
  <=> c2_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2494,plain,
    ( c2_1(a2099)
    | c3_1(a2099)
    | ~ spl0_30
    | ~ spl0_107 ),
    inference(resolution,[],[f376,f777]) ).

fof(f777,plain,
    ( c0_1(a2099)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_107
  <=> c0_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f376,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_30
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2505,plain,
    ( ~ spl0_30
    | spl0_129
    | ~ spl0_131
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2504]) ).

fof(f2504,plain,
    ( $false
    | ~ spl0_30
    | spl0_129
    | ~ spl0_131
    | spl0_156 ),
    inference(subsumption_resolution,[],[f2503,f895]) ).

fof(f895,plain,
    ( ~ c3_1(a2079)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl0_129
  <=> c3_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2503,plain,
    ( c3_1(a2079)
    | ~ spl0_30
    | ~ spl0_131
    | spl0_156 ),
    inference(subsumption_resolution,[],[f2492,f1312]) ).

fof(f1312,plain,
    ( ~ c2_1(a2079)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1310]) ).

fof(f1310,plain,
    ( spl0_156
  <=> c2_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2492,plain,
    ( c2_1(a2079)
    | c3_1(a2079)
    | ~ spl0_30
    | ~ spl0_131 ),
    inference(resolution,[],[f376,f905]) ).

fof(f905,plain,
    ( c0_1(a2079)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl0_131
  <=> c0_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2468,plain,
    ( ~ spl0_18
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f2467]) ).

fof(f2467,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f2466,f580]) ).

fof(f580,plain,
    ( c1_1(a2073)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f578,plain,
    ( spl0_70
  <=> c1_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2466,plain,
    ( ~ c1_1(a2073)
    | ~ spl0_18
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f2453,f585]) ).

fof(f585,plain,
    ( c0_1(a2073)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f583,plain,
    ( spl0_71
  <=> c0_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2453,plain,
    ( ~ c0_1(a2073)
    | ~ c1_1(a2073)
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(resolution,[],[f326,f575]) ).

fof(f575,plain,
    ( c3_1(a2073)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl0_69
  <=> c3_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f326,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2461,plain,
    ( ~ spl0_155
    | ~ spl0_18
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2460,f951,f946,f325,f1202]) ).

fof(f1202,plain,
    ( spl0_155
  <=> c0_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f946,plain,
    ( spl0_139
  <=> c3_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f951,plain,
    ( spl0_140
  <=> c1_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2460,plain,
    ( ~ c0_1(a2074)
    | ~ spl0_18
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2444,f953]) ).

fof(f953,plain,
    ( c1_1(a2074)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f2444,plain,
    ( ~ c0_1(a2074)
    | ~ c1_1(a2074)
    | ~ spl0_18
    | ~ spl0_139 ),
    inference(resolution,[],[f326,f948]) ).

fof(f948,plain,
    ( c3_1(a2074)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f2459,plain,
    ( ~ spl0_18
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2458]) ).

fof(f2458,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2457,f1998]) ).

fof(f1998,plain,
    ( c1_1(a2070)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1996]) ).

fof(f1996,plain,
    ( spl0_163
  <=> c1_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2457,plain,
    ( ~ c1_1(a2070)
    | ~ spl0_18
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2443,f1001]) ).

fof(f1001,plain,
    ( c0_1(a2070)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f999,plain,
    ( spl0_149
  <=> c0_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2443,plain,
    ( ~ c0_1(a2070)
    | ~ c1_1(a2070)
    | ~ spl0_18
    | ~ spl0_148 ),
    inference(resolution,[],[f326,f996]) ).

fof(f996,plain,
    ( c3_1(a2070)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f994,plain,
    ( spl0_148
  <=> c3_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2424,plain,
    ( spl0_160
    | ~ spl0_53
    | spl0_126
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2423,f887,f877,f486,f1696]) ).

fof(f1696,plain,
    ( spl0_160
  <=> c3_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f486,plain,
    ( spl0_53
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2423,plain,
    ( c3_1(a2082)
    | ~ spl0_53
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2421,f879]) ).

fof(f2421,plain,
    ( c0_1(a2082)
    | c3_1(a2082)
    | ~ spl0_53
    | ~ spl0_128 ),
    inference(resolution,[],[f889,f487]) ).

fof(f487,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f2395,plain,
    ( ~ spl0_44
    | ~ spl0_51
    | spl0_84
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f2394]) ).

fof(f2394,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_51
    | spl0_84
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f2387,f655]) ).

fof(f655,plain,
    ( ~ c0_1(a2140)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f653,plain,
    ( spl0_84
  <=> c0_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2387,plain,
    ( c0_1(a2140)
    | ~ spl0_44
    | ~ spl0_51
    | ~ spl0_86 ),
    inference(resolution,[],[f2341,f665]) ).

fof(f665,plain,
    ( c2_1(a2140)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f663,plain,
    ( spl0_86
  <=> c2_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2341,plain,
    ( ! [X42] :
        ( ~ c2_1(X42)
        | c0_1(X42) )
    | ~ spl0_44
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f440,f475]) ).

fof(f440,plain,
    ( ! [X42] :
        ( ~ c2_1(X42)
        | c0_1(X42)
        | ~ c3_1(X42) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl0_44
  <=> ! [X42] :
        ( ~ c3_1(X42)
        | c0_1(X42)
        | ~ c2_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2310,plain,
    ( ~ spl0_55
    | spl0_135
    | ~ spl0_137
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2309,plain,
    ( $false
    | ~ spl0_55
    | spl0_135
    | ~ spl0_137
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2308,f1061]) ).

fof(f1061,plain,
    ( ~ c2_1(a2076)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f2308,plain,
    ( c2_1(a2076)
    | ~ spl0_55
    | spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2289,f927]) ).

fof(f927,plain,
    ( ~ c0_1(a2076)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f925,plain,
    ( spl0_135
  <=> c0_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2289,plain,
    ( c0_1(a2076)
    | c2_1(a2076)
    | ~ spl0_55
    | ~ spl0_137 ),
    inference(resolution,[],[f499,f937]) ).

fof(f499,plain,
    ( ! [X84] :
        ( ~ c1_1(X84)
        | c0_1(X84)
        | c2_1(X84) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl0_55
  <=> ! [X84] :
        ( ~ c1_1(X84)
        | c0_1(X84)
        | c2_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2307,plain,
    ( ~ spl0_55
    | spl0_138
    | ~ spl0_140
    | spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2306]) ).

fof(f2306,plain,
    ( $false
    | ~ spl0_55
    | spl0_138
    | ~ spl0_140
    | spl0_155 ),
    inference(subsumption_resolution,[],[f2305,f943]) ).

fof(f943,plain,
    ( ~ c2_1(a2074)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_138
  <=> c2_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2305,plain,
    ( c2_1(a2074)
    | ~ spl0_55
    | ~ spl0_140
    | spl0_155 ),
    inference(subsumption_resolution,[],[f2288,f1204]) ).

fof(f1204,plain,
    ( ~ c0_1(a2074)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f2288,plain,
    ( c0_1(a2074)
    | c2_1(a2074)
    | ~ spl0_55
    | ~ spl0_140 ),
    inference(resolution,[],[f499,f953]) ).

fof(f2304,plain,
    ( ~ spl0_55
    | spl0_150
    | spl0_151
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | ~ spl0_55
    | spl0_150
    | spl0_151
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2302,f1007]) ).

fof(f2302,plain,
    ( c2_1(a2068)
    | ~ spl0_55
    | spl0_151
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2286,f1012]) ).

fof(f1012,plain,
    ( ~ c0_1(a2068)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1010,plain,
    ( spl0_151
  <=> c0_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2286,plain,
    ( c0_1(a2068)
    | c2_1(a2068)
    | ~ spl0_55
    | ~ spl0_164 ),
    inference(resolution,[],[f499,f2024]) ).

fof(f2024,plain,
    ( c1_1(a2068)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f2022]) ).

fof(f2184,plain,
    ( ~ spl0_37
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2183]) ).

fof(f2183,plain,
    ( $false
    | ~ spl0_37
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2182,f831]) ).

fof(f831,plain,
    ( ~ c3_1(a2093)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_117
  <=> c3_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2182,plain,
    ( c3_1(a2093)
    | ~ spl0_37
    | spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2172,f836]) ).

fof(f836,plain,
    ( ~ c1_1(a2093)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_118
  <=> c1_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2172,plain,
    ( c1_1(a2093)
    | c3_1(a2093)
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(resolution,[],[f408,f841]) ).

fof(f841,plain,
    ( c0_1(a2093)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_119
  <=> c0_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2143,plain,
    ( ~ spl0_33
    | ~ spl0_37
    | spl0_99
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2142,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_37
    | spl0_99
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f2132,f745]) ).

fof(f745,plain,
    ( c0_1(a2110)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f743,plain,
    ( spl0_101
  <=> c0_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2132,plain,
    ( ~ c0_1(a2110)
    | ~ spl0_33
    | ~ spl0_37
    | spl0_99 ),
    inference(resolution,[],[f2105,f735]) ).

fof(f735,plain,
    ( ~ c1_1(a2110)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl0_99
  <=> c1_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2105,plain,
    ( ! [X25] :
        ( c1_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f408,f390]) ).

fof(f2020,plain,
    ( ~ spl0_35
    | spl0_129
    | ~ spl0_130
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2019]) ).

fof(f2019,plain,
    ( $false
    | ~ spl0_35
    | spl0_129
    | ~ spl0_130
    | spl0_156 ),
    inference(subsumption_resolution,[],[f2018,f895]) ).

fof(f2018,plain,
    ( c3_1(a2079)
    | ~ spl0_35
    | ~ spl0_130
    | spl0_156 ),
    inference(subsumption_resolution,[],[f2016,f1312]) ).

fof(f2016,plain,
    ( c2_1(a2079)
    | c3_1(a2079)
    | ~ spl0_35
    | ~ spl0_130 ),
    inference(resolution,[],[f900,f399]) ).

fof(f399,plain,
    ( ! [X21] :
        ( ~ c1_1(X21)
        | c2_1(X21)
        | c3_1(X21) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl0_35
  <=> ! [X21] :
        ( ~ c1_1(X21)
        | c2_1(X21)
        | c3_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f900,plain,
    ( c1_1(a2079)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_130
  <=> c1_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2002,plain,
    ( ~ spl0_153
    | ~ spl0_71
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1967,f578,f333,f583,f1047]) ).

fof(f1047,plain,
    ( spl0_153
  <=> c2_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1967,plain,
    ( ~ c0_1(a2073)
    | ~ c2_1(a2073)
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(resolution,[],[f580,f334]) ).

fof(f1999,plain,
    ( ~ spl0_148
    | spl0_163
    | ~ spl0_33
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1872,f999,f389,f1996,f994]) ).

fof(f1872,plain,
    ( c1_1(a2070)
    | ~ c3_1(a2070)
    | ~ spl0_33
    | ~ spl0_149 ),
    inference(resolution,[],[f390,f1001]) ).

fof(f1994,plain,
    ( ~ spl0_162
    | spl0_102
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1805,f759,f383,f749,f1991]) ).

fof(f749,plain,
    ( spl0_102
  <=> c1_1(a2104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f383,plain,
    ( spl0_32
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | c1_1(X14)
        | ~ c2_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1805,plain,
    ( c1_1(a2104)
    | ~ c2_1(a2104)
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(resolution,[],[f384,f761]) ).

fof(f384,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c1_1(X14)
        | ~ c2_1(X14) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f1989,plain,
    ( spl0_97
    | ~ spl0_35
    | spl0_96
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1988,f727,f717,f398,f722]) ).

fof(f722,plain,
    ( spl0_97
  <=> c2_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f717,plain,
    ( spl0_96
  <=> c3_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f727,plain,
    ( spl0_98
  <=> c1_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1988,plain,
    ( c2_1(a2116)
    | ~ spl0_35
    | spl0_96
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1974,f719]) ).

fof(f719,plain,
    ( ~ c3_1(a2116)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f1974,plain,
    ( c2_1(a2116)
    | c3_1(a2116)
    | ~ spl0_35
    | ~ spl0_98 ),
    inference(resolution,[],[f399,f729]) ).

fof(f729,plain,
    ( c1_1(a2116)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1960,plain,
    ( ~ spl0_32
    | ~ spl0_54
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1959]) ).

fof(f1959,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_54
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1958,f1814]) ).

fof(f1814,plain,
    ( ~ c2_1(a2104)
    | ~ spl0_32
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1805,f751]) ).

fof(f751,plain,
    ( ~ c1_1(a2104)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f1958,plain,
    ( c2_1(a2104)
    | ~ spl0_54
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1941,f756]) ).

fof(f756,plain,
    ( ~ c0_1(a2104)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_103
  <=> c0_1(a2104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1941,plain,
    ( c0_1(a2104)
    | c2_1(a2104)
    | ~ spl0_54
    | ~ spl0_104 ),
    inference(resolution,[],[f492,f761]) ).

fof(f1953,plain,
    ( ~ spl0_54
    | spl0_138
    | ~ spl0_139
    | spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1952,plain,
    ( $false
    | ~ spl0_54
    | spl0_138
    | ~ spl0_139
    | spl0_155 ),
    inference(subsumption_resolution,[],[f1951,f943]) ).

fof(f1951,plain,
    ( c2_1(a2074)
    | ~ spl0_54
    | ~ spl0_139
    | spl0_155 ),
    inference(subsumption_resolution,[],[f1937,f1204]) ).

fof(f1937,plain,
    ( c0_1(a2074)
    | c2_1(a2074)
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(resolution,[],[f492,f948]) ).

fof(f1950,plain,
    ( ~ spl0_54
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1949]) ).

fof(f1949,plain,
    ( $false
    | ~ spl0_54
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1948,f1007]) ).

fof(f1948,plain,
    ( c2_1(a2068)
    | ~ spl0_54
    | spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1935,f1012]) ).

fof(f1935,plain,
    ( c0_1(a2068)
    | c2_1(a2068)
    | ~ spl0_54
    | ~ spl0_152 ),
    inference(resolution,[],[f492,f1017]) ).

fof(f1933,plain,
    ( spl0_160
    | ~ spl0_51
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1929,f882,f877,f474,f1696]) ).

fof(f1929,plain,
    ( c3_1(a2082)
    | ~ spl0_51
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1922,f879]) ).

fof(f1922,plain,
    ( c0_1(a2082)
    | c3_1(a2082)
    | ~ spl0_51
    | ~ spl0_127 ),
    inference(resolution,[],[f475,f884]) ).

fof(f1911,plain,
    ( ~ spl0_42
    | spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1910,plain,
    ( $false
    | ~ spl0_42
    | spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1909,f911]) ).

fof(f911,plain,
    ( ~ c2_1(a2078)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl0_132
  <=> c2_1(a2078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1909,plain,
    ( c2_1(a2078)
    | ~ spl0_42
    | spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1901,f916]) ).

fof(f916,plain,
    ( ~ c1_1(a2078)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl0_133
  <=> c1_1(a2078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1901,plain,
    ( c1_1(a2078)
    | c2_1(a2078)
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(resolution,[],[f432,f921]) ).

fof(f921,plain,
    ( c0_1(a2078)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_134
  <=> c0_1(a2078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f432,plain,
    ( ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f431,plain,
    ( spl0_42
  <=> ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1868,plain,
    ( ~ spl0_18
    | ~ spl0_33
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1867]) ).

fof(f1867,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_33
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1857,f996]) ).

fof(f1857,plain,
    ( ~ c3_1(a2070)
    | ~ spl0_18
    | ~ spl0_33
    | ~ spl0_149 ),
    inference(resolution,[],[f1855,f1001]) ).

fof(f1855,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f390,f326]) ).

fof(f1851,plain,
    ( ~ spl0_32
    | ~ spl0_40
    | spl0_102
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1850]) ).

fof(f1850,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_40
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1838,f751]) ).

fof(f1838,plain,
    ( c1_1(a2104)
    | ~ spl0_32
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(resolution,[],[f1832,f761]) ).

fof(f1832,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | c1_1(X34) )
    | ~ spl0_32
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f423,f384]) ).

fof(f1825,plain,
    ( ~ spl0_73
    | ~ spl0_18
    | ~ spl0_32
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1822,f599,f589,f383,f325,f594]) ).

fof(f594,plain,
    ( spl0_73
  <=> c2_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f589,plain,
    ( spl0_72
  <=> c3_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f599,plain,
    ( spl0_74
  <=> c0_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1822,plain,
    ( ~ c2_1(a2069)
    | ~ spl0_18
    | ~ spl0_32
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1812,f1777]) ).

fof(f1777,plain,
    ( ~ c1_1(a2069)
    | ~ spl0_18
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1773,f601]) ).

fof(f601,plain,
    ( c0_1(a2069)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1773,plain,
    ( ~ c0_1(a2069)
    | ~ c1_1(a2069)
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(resolution,[],[f326,f591]) ).

fof(f591,plain,
    ( c3_1(a2069)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f1812,plain,
    ( c1_1(a2069)
    | ~ c2_1(a2069)
    | ~ spl0_32
    | ~ spl0_72 ),
    inference(resolution,[],[f384,f591]) ).

fof(f1788,plain,
    ( ~ spl0_29
    | spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1787]) ).

fof(f1787,plain,
    ( $false
    | ~ spl0_29
    | spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1786,f948]) ).

fof(f1786,plain,
    ( ~ c3_1(a2074)
    | ~ spl0_29
    | spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1778,f943]) ).

fof(f1778,plain,
    ( c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(resolution,[],[f372,f953]) ).

fof(f372,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c3_1(X10) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl0_29
  <=> ! [X10] :
        ( ~ c3_1(X10)
        | c2_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1728,plain,
    ( ~ spl0_44
    | ~ spl0_54
    | spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1727]) ).

fof(f1727,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_54
    | spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1714,f761]) ).

fof(f1714,plain,
    ( ~ c3_1(a2104)
    | ~ spl0_44
    | ~ spl0_54
    | spl0_103 ),
    inference(resolution,[],[f1694,f756]) ).

fof(f1694,plain,
    ( ! [X75] :
        ( c0_1(X75)
        | ~ c3_1(X75) )
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f492,f440]) ).

fof(f1705,plain,
    ( ~ spl0_160
    | ~ spl0_44
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1704,f882,f877,f439,f1696]) ).

fof(f1704,plain,
    ( ~ c3_1(a2082)
    | ~ spl0_44
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1703,f879]) ).

fof(f1703,plain,
    ( c0_1(a2082)
    | ~ c3_1(a2082)
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(resolution,[],[f884,f440]) ).

fof(f1642,plain,
    ( ~ spl0_49
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1641]) ).

fof(f1641,plain,
    ( $false
    | ~ spl0_49
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1640,f847]) ).

fof(f1640,plain,
    ( c3_1(a2087)
    | ~ spl0_49
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1633,f852]) ).

fof(f1633,plain,
    ( c1_1(a2087)
    | c3_1(a2087)
    | ~ spl0_49
    | ~ spl0_122 ),
    inference(resolution,[],[f466,f857]) ).

fof(f857,plain,
    ( c2_1(a2087)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f855,plain,
    ( spl0_122
  <=> c2_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1572,plain,
    ( ~ spl0_44
    | spl0_135
    | ~ spl0_136
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1571]) ).

fof(f1571,plain,
    ( $false
    | ~ spl0_44
    | spl0_135
    | ~ spl0_136
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1570,f932]) ).

fof(f932,plain,
    ( c3_1(a2076)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_136
  <=> c3_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1570,plain,
    ( ~ c3_1(a2076)
    | ~ spl0_44
    | spl0_135
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1561,f927]) ).

fof(f1561,plain,
    ( c0_1(a2076)
    | ~ c3_1(a2076)
    | ~ spl0_44
    | ~ spl0_154 ),
    inference(resolution,[],[f440,f1060]) ).

fof(f1534,plain,
    ( ~ spl0_39
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1533]) ).

fof(f1533,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1532,f596]) ).

fof(f596,plain,
    ( c2_1(a2069)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1532,plain,
    ( ~ c2_1(a2069)
    | ~ spl0_39
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1529,f591]) ).

fof(f1529,plain,
    ( ~ c3_1(a2069)
    | ~ c2_1(a2069)
    | ~ spl0_39
    | ~ spl0_74 ),
    inference(resolution,[],[f417,f601]) ).

fof(f417,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | ~ c3_1(X27)
        | ~ c2_1(X27) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f416,plain,
    ( spl0_39
  <=> ! [X27] :
        ( ~ c3_1(X27)
        | ~ c0_1(X27)
        | ~ c2_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1518,plain,
    ( ~ spl0_32
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1517,plain,
    ( $false
    | ~ spl0_32
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1516,f873]) ).

fof(f873,plain,
    ( c2_1(a2084)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl0_125
  <=> c2_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1516,plain,
    ( ~ c2_1(a2084)
    | ~ spl0_32
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1509,f863]) ).

fof(f863,plain,
    ( ~ c1_1(a2084)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f861,plain,
    ( spl0_123
  <=> c1_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1509,plain,
    ( c1_1(a2084)
    | ~ c2_1(a2084)
    | ~ spl0_32
    | ~ spl0_124 ),
    inference(resolution,[],[f384,f868]) ).

fof(f868,plain,
    ( c3_1(a2084)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f866,plain,
    ( spl0_124
  <=> c3_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1447,plain,
    ( ~ spl0_24
    | ~ spl0_39
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1446]) ).

fof(f1446,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_39
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1442,f740]) ).

fof(f740,plain,
    ( c2_1(a2110)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f738,plain,
    ( spl0_100
  <=> c2_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1442,plain,
    ( ~ c2_1(a2110)
    | ~ spl0_24
    | ~ spl0_39
    | ~ spl0_101 ),
    inference(resolution,[],[f1436,f745]) ).

fof(f1436,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | ~ c2_1(X27) )
    | ~ spl0_24
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f417,f350]) ).

fof(f350,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | c3_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl0_24
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1411,plain,
    ( ~ spl0_20
    | ~ spl0_25
    | ~ spl0_33
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1410,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_25
    | ~ spl0_33
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1404,f1001]) ).

fof(f1404,plain,
    ( ~ c0_1(a2070)
    | ~ spl0_20
    | ~ spl0_25
    | ~ spl0_33
    | ~ spl0_148 ),
    inference(resolution,[],[f1403,f996]) ).

fof(f1403,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_20
    | ~ spl0_25
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f390,f1029]) ).

fof(f1029,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | ~ c0_1(X5) )
    | ~ spl0_20
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f354,f334]) ).

fof(f354,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f353,plain,
    ( spl0_25
  <=> ! [X5] :
        ( ~ c1_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1400,plain,
    ( ~ spl0_156
    | ~ spl0_24
    | spl0_129
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1399,f903,f893,f349,f1310]) ).

fof(f1399,plain,
    ( ~ c2_1(a2079)
    | ~ spl0_24
    | spl0_129
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1389,f895]) ).

fof(f1389,plain,
    ( c3_1(a2079)
    | ~ c2_1(a2079)
    | ~ spl0_24
    | ~ spl0_131 ),
    inference(resolution,[],[f350,f905]) ).

fof(f1398,plain,
    ( ~ spl0_24
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1397]) ).

fof(f1397,plain,
    ( $false
    | ~ spl0_24
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1396,f980]) ).

fof(f1396,plain,
    ( ~ c2_1(a2071)
    | ~ spl0_24
    | spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1388,f975]) ).

fof(f1388,plain,
    ( c3_1(a2071)
    | ~ c2_1(a2071)
    | ~ spl0_24
    | ~ spl0_146 ),
    inference(resolution,[],[f350,f985]) ).

fof(f1313,plain,
    ( ~ spl0_156
    | ~ spl0_131
    | ~ spl0_20
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1307,f898,f333,f903,f1310]) ).

fof(f1307,plain,
    ( ~ c0_1(a2079)
    | ~ c2_1(a2079)
    | ~ spl0_20
    | ~ spl0_130 ),
    inference(resolution,[],[f900,f334]) ).

fof(f1305,plain,
    ( ~ spl0_22
    | ~ spl0_32
    | ~ spl0_54
    | spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1304]) ).

fof(f1304,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_32
    | ~ spl0_54
    | spl0_81
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f1296,f644]) ).

fof(f1296,plain,
    ( ~ c3_1(a2149)
    | ~ spl0_22
    | ~ spl0_32
    | ~ spl0_54
    | spl0_81
    | ~ spl0_82 ),
    inference(resolution,[],[f1284,f1034]) ).

fof(f1034,plain,
    ( ~ c2_1(a2149)
    | ~ spl0_32
    | spl0_81
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f1032,f639]) ).

fof(f639,plain,
    ( ~ c1_1(a2149)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f1032,plain,
    ( c1_1(a2149)
    | ~ c2_1(a2149)
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(resolution,[],[f384,f644]) ).

fof(f1284,plain,
    ( ! [X75] :
        ( c2_1(X75)
        | ~ c3_1(X75) )
    | ~ spl0_22
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f492,f342]) ).

fof(f1303,plain,
    ( ~ spl0_22
    | ~ spl0_32
    | ~ spl0_54
    | spl0_102
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1302]) ).

fof(f1302,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_32
    | ~ spl0_54
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1294,f761]) ).

fof(f1294,plain,
    ( ~ c3_1(a2104)
    | ~ spl0_22
    | ~ spl0_32
    | ~ spl0_54
    | spl0_102
    | ~ spl0_104 ),
    inference(resolution,[],[f1284,f1074]) ).

fof(f1074,plain,
    ( ~ c2_1(a2104)
    | ~ spl0_32
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1072,f751]) ).

fof(f1072,plain,
    ( c1_1(a2104)
    | ~ c2_1(a2104)
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(resolution,[],[f761,f384]) ).

fof(f1240,plain,
    ( ~ spl0_32
    | ~ spl0_49
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f1239]) ).

fof(f1239,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_49
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1234,f735]) ).

fof(f1234,plain,
    ( c1_1(a2110)
    | ~ spl0_32
    | ~ spl0_49
    | ~ spl0_100 ),
    inference(resolution,[],[f1230,f740]) ).

fof(f1230,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c1_1(X57) )
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f466,f384]) ).

fof(f1205,plain,
    ( ~ spl0_155
    | ~ spl0_139
    | ~ spl0_22
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1200,f941,f341,f946,f1202]) ).

fof(f1200,plain,
    ( ~ c3_1(a2074)
    | ~ c0_1(a2074)
    | ~ spl0_22
    | spl0_138 ),
    inference(resolution,[],[f943,f342]) ).

fof(f1103,plain,
    ( ~ spl0_149
    | ~ spl0_148
    | ~ spl0_22
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1102,f989,f341,f994,f999]) ).

fof(f989,plain,
    ( spl0_147
  <=> c2_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1102,plain,
    ( ~ c3_1(a2070)
    | ~ c0_1(a2070)
    | ~ spl0_22
    | spl0_147 ),
    inference(resolution,[],[f991,f342]) ).

fof(f991,plain,
    ( ~ c2_1(a2070)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f1080,plain,
    ( ~ spl0_69
    | ~ spl0_22
    | ~ spl0_71
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1079,f1047,f583,f341,f573]) ).

fof(f1079,plain,
    ( ~ c3_1(a2073)
    | ~ spl0_22
    | ~ spl0_71
    | spl0_153 ),
    inference(subsumption_resolution,[],[f1075,f585]) ).

fof(f1075,plain,
    ( ~ c3_1(a2073)
    | ~ c0_1(a2073)
    | ~ spl0_22
    | spl0_153 ),
    inference(resolution,[],[f1049,f342]) ).

fof(f1049,plain,
    ( ~ c2_1(a2073)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1037,plain,
    ( ~ spl0_24
    | ~ spl0_32
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1036,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_32
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1035,f740]) ).

fof(f1035,plain,
    ( ~ c2_1(a2110)
    | ~ spl0_24
    | ~ spl0_32
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1033,f735]) ).

fof(f1033,plain,
    ( c1_1(a2110)
    | ~ c2_1(a2110)
    | ~ spl0_24
    | ~ spl0_32
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(resolution,[],[f384,f1027]) ).

fof(f1027,plain,
    ( c3_1(a2110)
    | ~ spl0_24
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1026,f740]) ).

fof(f1026,plain,
    ( c3_1(a2110)
    | ~ c2_1(a2110)
    | ~ spl0_24
    | ~ spl0_101 ),
    inference(resolution,[],[f350,f745]) ).

fof(f1018,plain,
    ( ~ spl0_45
    | spl0_152 ),
    inference(avatar_split_clause,[],[f8,f1015,f442]) ).

fof(f442,plain,
    ( spl0_45
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f8,plain,
    ( c3_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X21] :
          ( ~ c1_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c1_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X108] :
          ( ~ c2_1(X108)
          | c3_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( c3_1(X116)
          | c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c1_1(X117)
          | c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X21] :
          ( ~ c1_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c1_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X108] :
          ( ~ c2_1(X108)
          | c3_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( c3_1(X116)
          | c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c1_1(X117)
          | c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c0_1(X2)
            | c2_1(X2) ) ) )
    & ( hskp4
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c0_1(X4)
            | c2_1(X4) ) ) )
    & ( hskp22
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp12
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c1_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp5
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp11
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp20
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp3
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp8
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp17
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp3
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp26
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp8
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp16
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp26
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp26
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c1_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp16
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c3_1(X46)
            | c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp27
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp0
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c0_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp15
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp11
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp14
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c0_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp10
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp11
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp1
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp8
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | ~ c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp4
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp10
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp4
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp9
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c0_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp9
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp2
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c3_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c1_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp7
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c1_1(X95)
            | ~ c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp6
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c0_1(X100)
            | c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( hskp29
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c0_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp4
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c3_1(X108)
            | c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp27
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp0
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c2_1(X116)
            | c1_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c1_1(X117)
            | c2_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp18
          | hskp25
          | hskp12 )
        & ( hskp10
          | hskp12
          | hskp24 )
        & ( hskp3
          | hskp5
          | hskp29 )
        & ( hskp18
          | hskp5
          | hskp6 )
        & ( hskp5
          | hskp24
          | hskp23 )
        & ( hskp1
          | hskp23
          | hskp17 )
        & ( hskp2
          | hskp17 )
        & ( hskp15
          | hskp23
          | hskp7 )
        & ( hskp5
          | hskp23
          | hskp27 )
        & ( hskp22
          | hskp17
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp4
          | hskp7
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp16
          | hskp7
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c0_1(X2)
                | c2_1(X2) ) ) )
        & ( hskp4
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp22
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp20
          | hskp17
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp16
          | hskp21
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp12
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp11
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp15
          | hskp7
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp20
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp3
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp10
          | hskp11
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp5
          | hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp8
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp17
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp19
          | hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp8
          | hskp1
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp3
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp26
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp18
          | hskp26
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp8
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp16
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp26
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp1
          | hskp17
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp0
          | hskp11
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp29
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp26
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp16
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp27
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp0
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | hskp28
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp11
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp13
          | hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp10
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp11
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp1
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp8
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp7
          | hskp27
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp4
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp9
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp9
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp2
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp4
          | hskp5
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp7
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp6
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( hskp29
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp5
          | hskp28
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c3_1(X108)
                | c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp27
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp3
          | hskp2
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp1
          | hskp26
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp0
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c2_1(X116)
                | c1_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | c2_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( ( c3_1(a2077)
            & c2_1(a2077)
            & c1_1(a2077)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2073)
            & c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a2069)
            & c2_1(a2069)
            & c0_1(a2069)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2172)
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2160)
            & c2_1(a2160)
            & c1_1(a2160)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2149)
            & c3_1(a2149)
            & c0_1(a2149)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a2140)
            & c3_1(a2140)
            & c2_1(a2140)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2136)
            & c1_1(a2136)
            & c0_1(a2136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2130)
            & ~ c2_1(a2130)
            & ~ c1_1(a2130)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2122)
            & ~ c0_1(a2122)
            & c2_1(a2122)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2116)
            & ~ c2_1(a2116)
            & c1_1(a2116)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2110)
            & c2_1(a2110)
            & c0_1(a2110)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a2104)
            & ~ c0_1(a2104)
            & c3_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2099)
            & ~ c2_1(a2099)
            & c0_1(a2099)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2097)
            & ~ c1_1(a2097)
            & ~ c0_1(a2097)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a2096)
            & ~ c0_1(a2096)
            & c2_1(a2096)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a2095)
            & ~ c0_1(a2095)
            & c1_1(a2095)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2093)
            & ~ c1_1(a2093)
            & c0_1(a2093)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2087)
            & ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2084)
            & c3_1(a2084)
            & c2_1(a2084)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2082)
            & c2_1(a2082)
            & c1_1(a2082)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2079)
            & c1_1(a2079)
            & c0_1(a2079)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & c0_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2076)
            & c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2074)
            & c3_1(a2074)
            & c1_1(a2074)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2072)
            & ~ c1_1(a2072)
            & ~ c0_1(a2072)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2071)
            & c2_1(a2071)
            & c0_1(a2071)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & c3_1(a2068)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp18
          | hskp25
          | hskp12 )
        & ( hskp10
          | hskp12
          | hskp24 )
        & ( hskp3
          | hskp5
          | hskp29 )
        & ( hskp18
          | hskp5
          | hskp6 )
        & ( hskp5
          | hskp24
          | hskp23 )
        & ( hskp1
          | hskp23
          | hskp17 )
        & ( hskp2
          | hskp17 )
        & ( hskp15
          | hskp23
          | hskp7 )
        & ( hskp5
          | hskp23
          | hskp27 )
        & ( hskp22
          | hskp17
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) ) )
        & ( hskp4
          | hskp7
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp16
          | hskp7
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c0_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp22
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp20
          | hskp17
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp16
          | hskp21
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp12
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp5
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp11
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp15
          | hskp7
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp20
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp3
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp10
          | hskp11
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp5
          | hskp26
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp8
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp17
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp19
          | hskp11
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp8
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp3
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp26
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp18
          | hskp26
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp8
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp16
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp26
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp17
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp0
          | hskp11
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp29
          | hskp27
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp26
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp16
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp27
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp0
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp15
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp11
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp13
          | hskp12
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp10
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp1
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp4
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp7
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp10
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp9
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp8
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp4
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp7
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp29
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp5
          | hskp28
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp4
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp27
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp26
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2077)
            & c2_1(a2077)
            & c1_1(a2077)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2073)
            & c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a2069)
            & c2_1(a2069)
            & c0_1(a2069)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2172)
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2160)
            & c2_1(a2160)
            & c1_1(a2160)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2149)
            & c3_1(a2149)
            & c0_1(a2149)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a2140)
            & c3_1(a2140)
            & c2_1(a2140)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2136)
            & c1_1(a2136)
            & c0_1(a2136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2130)
            & ~ c2_1(a2130)
            & ~ c1_1(a2130)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2122)
            & ~ c0_1(a2122)
            & c2_1(a2122)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2116)
            & ~ c2_1(a2116)
            & c1_1(a2116)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2110)
            & c2_1(a2110)
            & c0_1(a2110)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a2104)
            & ~ c0_1(a2104)
            & c3_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2099)
            & ~ c2_1(a2099)
            & c0_1(a2099)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2097)
            & ~ c1_1(a2097)
            & ~ c0_1(a2097)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a2096)
            & ~ c0_1(a2096)
            & c2_1(a2096)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a2095)
            & ~ c0_1(a2095)
            & c1_1(a2095)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2093)
            & ~ c1_1(a2093)
            & c0_1(a2093)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2087)
            & ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2084)
            & c3_1(a2084)
            & c2_1(a2084)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2082)
            & c2_1(a2082)
            & c1_1(a2082)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2079)
            & c1_1(a2079)
            & c0_1(a2079)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & c0_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2076)
            & c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2074)
            & c3_1(a2074)
            & c1_1(a2074)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2072)
            & ~ c1_1(a2072)
            & ~ c0_1(a2072)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2071)
            & c2_1(a2071)
            & c0_1(a2071)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & c3_1(a2068)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp18
        | hskp25
        | hskp12 )
      & ( hskp10
        | hskp12
        | hskp24 )
      & ( hskp3
        | hskp5
        | hskp29 )
      & ( hskp18
        | hskp5
        | hskp6 )
      & ( hskp5
        | hskp24
        | hskp23 )
      & ( hskp1
        | hskp23
        | hskp17 )
      & ( hskp2
        | hskp17 )
      & ( hskp15
        | hskp23
        | hskp7 )
      & ( hskp5
        | hskp23
        | hskp27 )
      & ( hskp22
        | hskp17
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) ) )
      & ( hskp4
        | hskp7
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp16
        | hskp7
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c0_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp22
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp20
        | hskp17
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp16
        | hskp21
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp12
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | c3_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp5
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp11
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp15
        | hskp7
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp20
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp3
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp10
        | hskp11
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp5
        | hskp26
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp8
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp17
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp19
        | hskp11
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp8
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp3
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp26
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp18
        | hskp26
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp8
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp16
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp26
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp17
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp0
        | hskp11
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp29
        | hskp27
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp26
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c1_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp16
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp27
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp0
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp4
        | hskp28
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp15
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp11
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp14
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp13
        | hskp12
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp10
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp11
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp1
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp8
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp4
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp7
        | hskp27
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp10
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp9
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c0_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp9
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | ~ c0_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp2
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp8
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c3_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp4
        | hskp5
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c3_1(X25)
              | c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp7
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c3_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp6
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp29
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c0_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c0_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp5
        | hskp28
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp4
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c3_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp27
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp26
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c2_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2077)
          & c2_1(a2077)
          & c1_1(a2077)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2075)
          & c1_1(a2075)
          & c0_1(a2075)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a2073)
          & c1_1(a2073)
          & c0_1(a2073)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a2069)
          & c2_1(a2069)
          & c0_1(a2069)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a2172)
          & ~ c0_1(a2172)
          & c1_1(a2172)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a2160)
          & c2_1(a2160)
          & c1_1(a2160)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a2149)
          & c3_1(a2149)
          & c0_1(a2149)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a2140)
          & c3_1(a2140)
          & c2_1(a2140)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a2136)
          & c1_1(a2136)
          & c0_1(a2136)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a2130)
          & ~ c2_1(a2130)
          & ~ c1_1(a2130)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2122)
          & ~ c0_1(a2122)
          & c2_1(a2122)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a2116)
          & ~ c2_1(a2116)
          & c1_1(a2116)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2110)
          & c2_1(a2110)
          & c0_1(a2110)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a2104)
          & ~ c0_1(a2104)
          & c3_1(a2104)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a2099)
          & ~ c2_1(a2099)
          & c0_1(a2099)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a2097)
          & ~ c1_1(a2097)
          & ~ c0_1(a2097)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a2096)
          & ~ c0_1(a2096)
          & c2_1(a2096)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a2095)
          & ~ c0_1(a2095)
          & c1_1(a2095)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a2093)
          & ~ c1_1(a2093)
          & c0_1(a2093)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2087)
          & ~ c1_1(a2087)
          & c2_1(a2087)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2084)
          & c3_1(a2084)
          & c2_1(a2084)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a2082)
          & c2_1(a2082)
          & c1_1(a2082)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a2079)
          & c1_1(a2079)
          & c0_1(a2079)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a2078)
          & ~ c1_1(a2078)
          & c0_1(a2078)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a2076)
          & c3_1(a2076)
          & c1_1(a2076)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a2074)
          & c3_1(a2074)
          & c1_1(a2074)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2072)
          & ~ c1_1(a2072)
          & ~ c0_1(a2072)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2071)
          & c2_1(a2071)
          & c0_1(a2071)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2070)
          & c3_1(a2070)
          & c0_1(a2070)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a2068)
          & ~ c0_1(a2068)
          & c3_1(a2068)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1013,plain,
    ( ~ spl0_45
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f9,f1010,f442]) ).

fof(f9,plain,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_45
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f10,f1005,f442]) ).

fof(f10,plain,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_12
    | spl0_149 ),
    inference(avatar_split_clause,[],[f12,f999,f297]) ).

fof(f297,plain,
    ( spl0_12
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f12,plain,
    ( c0_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_12
    | spl0_148 ),
    inference(avatar_split_clause,[],[f13,f994,f297]) ).

fof(f13,plain,
    ( c3_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f992,plain,
    ( ~ spl0_12
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f14,f989,f297]) ).

fof(f14,plain,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f987,plain,
    ( ~ spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f15,f321,f302]) ).

fof(f302,plain,
    ( spl0_13
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f321,plain,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

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

fof(f986,plain,
    ( ~ spl0_13
    | spl0_146 ),
    inference(avatar_split_clause,[],[f16,f983,f302]) ).

fof(f16,plain,
    ( c0_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f981,plain,
    ( ~ spl0_13
    | spl0_145 ),
    inference(avatar_split_clause,[],[f17,f978,f302]) ).

fof(f17,plain,
    ( c2_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_13
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f18,f973,f302]) ).

fof(f18,plain,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_8
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f20,f967,f278]) ).

fof(f278,plain,
    ( spl0_8
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f20,plain,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f960,plain,
    ( ~ spl0_8
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f22,f957,f278]) ).

fof(f22,plain,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_21
    | spl0_140 ),
    inference(avatar_split_clause,[],[f24,f951,f336]) ).

fof(f336,plain,
    ( spl0_21
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f24,plain,
    ( c1_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_21
    | spl0_139 ),
    inference(avatar_split_clause,[],[f25,f946,f336]) ).

fof(f25,plain,
    ( c3_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_21
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f26,f941,f336]) ).

fof(f26,plain,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_7
    | spl0_137 ),
    inference(avatar_split_clause,[],[f28,f935,f274]) ).

fof(f274,plain,
    ( spl0_7
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f28,plain,
    ( c1_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_7
    | spl0_136 ),
    inference(avatar_split_clause,[],[f29,f930,f274]) ).

fof(f29,plain,
    ( c3_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_7
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f30,f925,f274]) ).

fof(f30,plain,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_9
    | spl0_134 ),
    inference(avatar_split_clause,[],[f32,f919,f283]) ).

fof(f283,plain,
    ( spl0_9
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f32,plain,
    ( c0_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_9
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f33,f914,f283]) ).

fof(f33,plain,
    ( ~ c1_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_9
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f34,f909,f283]) ).

fof(f34,plain,
    ( ~ c2_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_14
    | spl0_131 ),
    inference(avatar_split_clause,[],[f36,f903,f307]) ).

fof(f307,plain,
    ( spl0_14
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f36,plain,
    ( c0_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_14
    | spl0_130 ),
    inference(avatar_split_clause,[],[f37,f898,f307]) ).

fof(f37,plain,
    ( c1_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_14
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f38,f893,f307]) ).

fof(f38,plain,
    ( ~ c3_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_36
    | spl0_128 ),
    inference(avatar_split_clause,[],[f40,f887,f401]) ).

fof(f401,plain,
    ( spl0_36
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f40,plain,
    ( c1_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_36
    | spl0_127 ),
    inference(avatar_split_clause,[],[f41,f882,f401]) ).

fof(f41,plain,
    ( c2_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_36
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f42,f877,f401]) ).

fof(f42,plain,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_56
    | spl0_125 ),
    inference(avatar_split_clause,[],[f44,f871,f501]) ).

fof(f501,plain,
    ( spl0_56
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f44,plain,
    ( c2_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_56
    | spl0_124 ),
    inference(avatar_split_clause,[],[f45,f866,f501]) ).

fof(f45,plain,
    ( c3_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_56
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f46,f861,f501]) ).

fof(f46,plain,
    ( ~ c1_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_5
    | spl0_122 ),
    inference(avatar_split_clause,[],[f48,f855,f265]) ).

fof(f265,plain,
    ( spl0_5
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f48,plain,
    ( c2_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_5
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f49,f850,f265]) ).

fof(f49,plain,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_5
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f50,f845,f265]) ).

fof(f50,plain,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_31
    | spl0_119 ),
    inference(avatar_split_clause,[],[f52,f839,f378]) ).

fof(f378,plain,
    ( spl0_31
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f52,plain,
    ( c0_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_31
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f53,f834,f378]) ).

fof(f53,plain,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_31
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f54,f829,f378]) ).

fof(f54,plain,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_15
    | spl0_107 ),
    inference(avatar_split_clause,[],[f68,f775,f311]) ).

fof(f311,plain,
    ( spl0_15
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f68,plain,
    ( c0_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_15
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f69,f770,f311]) ).

fof(f69,plain,
    ( ~ c2_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f768,plain,
    ( ~ spl0_15
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f70,f765,f311]) ).

fof(f70,plain,
    ( ~ c3_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_23
    | spl0_104 ),
    inference(avatar_split_clause,[],[f72,f759,f344]) ).

fof(f344,plain,
    ( spl0_23
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f72,plain,
    ( c3_1(a2104)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_23
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f73,f754,f344]) ).

fof(f73,plain,
    ( ~ c0_1(a2104)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f752,plain,
    ( ~ spl0_23
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f74,f749,f344]) ).

fof(f74,plain,
    ( ~ c1_1(a2104)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f747,plain,
    ( ~ spl0_11
    | spl0_17 ),
    inference(avatar_split_clause,[],[f75,f321,f293]) ).

fof(f293,plain,
    ( spl0_11
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f75,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_11
    | spl0_101 ),
    inference(avatar_split_clause,[],[f76,f743,f293]) ).

fof(f76,plain,
    ( c0_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_11
    | spl0_100 ),
    inference(avatar_split_clause,[],[f77,f738,f293]) ).

fof(f77,plain,
    ( c2_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_11
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f78,f733,f293]) ).

fof(f78,plain,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_3
    | spl0_98 ),
    inference(avatar_split_clause,[],[f80,f727,f256]) ).

fof(f256,plain,
    ( spl0_3
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f80,plain,
    ( c1_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_3
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f81,f722,f256]) ).

fof(f81,plain,
    ( ~ c2_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_3
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f82,f717,f256]) ).

fof(f82,plain,
    ( ~ c3_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_19
    | spl0_86 ),
    inference(avatar_split_clause,[],[f96,f663,f328]) ).

fof(f328,plain,
    ( spl0_19
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f96,plain,
    ( c2_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( ~ spl0_19
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f98,f653,f328]) ).

fof(f98,plain,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_10
    | spl0_83 ),
    inference(avatar_split_clause,[],[f100,f647,f288]) ).

fof(f288,plain,
    ( spl0_10
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f100,plain,
    ( c0_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_10
    | spl0_82 ),
    inference(avatar_split_clause,[],[f101,f642,f288]) ).

fof(f101,plain,
    ( c3_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f640,plain,
    ( ~ spl0_10
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f102,f637,f288]) ).

fof(f102,plain,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_34
    | spl0_74 ),
    inference(avatar_split_clause,[],[f112,f599,f393]) ).

fof(f393,plain,
    ( spl0_34
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f112,plain,
    ( c0_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_34
    | spl0_73 ),
    inference(avatar_split_clause,[],[f113,f594,f393]) ).

fof(f113,plain,
    ( c2_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_34
    | spl0_72 ),
    inference(avatar_split_clause,[],[f114,f589,f393]) ).

fof(f114,plain,
    ( c3_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_16
    | spl0_71 ),
    inference(avatar_split_clause,[],[f116,f583,f316]) ).

fof(f316,plain,
    ( spl0_16
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f116,plain,
    ( c0_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(avatar_split_clause,[],[f117,f578,f316]) ).

fof(f117,plain,
    ( c1_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f118,f573,f316]) ).

fof(f118,plain,
    ( c3_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_57
    | spl0_49
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f212,f371,f321,f465,f509]) ).

fof(f212,plain,
    ! [X94,X92,X93] :
      ( ~ c3_1(X92)
      | ~ c1_1(X92)
      | c2_1(X92)
      | ~ ndr1_0
      | ~ c2_1(X93)
      | c3_1(X93)
      | c1_1(X93)
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X94,X92,X93] :
      ( ~ c3_1(X92)
      | ~ c1_1(X92)
      | c2_1(X92)
      | ~ ndr1_0
      | ~ c2_1(X93)
      | c3_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_17
    | spl0_57
    | spl0_7
    | spl0_21 ),
    inference(avatar_split_clause,[],[f140,f336,f274,f509,f321]) ).

fof(f140,plain,
    ! [X91] :
      ( hskp4
      | hskp5
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_55
    | ~ spl0_17
    | spl0_49
    | spl0_36 ),
    inference(avatar_split_clause,[],[f213,f401,f465,f321,f498]) ).

fof(f213,plain,
    ! [X90,X89] :
      ( hskp8
      | ~ c2_1(X89)
      | c3_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X90,X89] :
      ( hskp8
      | ~ c2_1(X89)
      | c3_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( spl0_55
    | ~ spl0_17
    | spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f216,f501,f341,f321,f498]) ).

fof(f216,plain,
    ! [X83,X84] :
      ( hskp9
      | ~ c3_1(X83)
      | ~ c0_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X83,X84] :
      ( hskp9
      | ~ c3_1(X83)
      | ~ c0_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_54
    | ~ spl0_17
    | spl0_40
    | spl0_21 ),
    inference(avatar_split_clause,[],[f218,f336,f422,f321,f491]) ).

fof(f218,plain,
    ! [X78,X79] :
      ( hskp4
      | ~ c3_1(X78)
      | c2_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X78,X79] :
      ( hskp4
      | ~ c3_1(X78)
      | c2_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_54
    | ~ spl0_17
    | spl0_39
    | spl0_5 ),
    inference(avatar_split_clause,[],[f219,f265,f416,f321,f491]) ).

fof(f219,plain,
    ! [X76,X77] :
      ( hskp10
      | ~ c3_1(X76)
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X76,X77] :
      ( hskp10
      | ~ c3_1(X76)
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( ~ spl0_17
    | spl0_54
    | spl0_16
    | spl0_14 ),
    inference(avatar_split_clause,[],[f148,f307,f316,f491,f321]) ).

fof(f148,plain,
    ! [X75] :
      ( hskp7
      | hskp27
      | ~ c3_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_53
    | ~ spl0_17
    | spl0_39
    | spl0_21 ),
    inference(avatar_split_clause,[],[f220,f336,f416,f321,f486]) ).

fof(f220,plain,
    ! [X73,X74] :
      ( hskp4
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c3_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X73,X74] :
      ( hskp4
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_51
    | ~ spl0_17
    | spl0_48
    | spl0_12 ),
    inference(avatar_split_clause,[],[f222,f297,f462,f321,f474]) ).

fof(f222,plain,
    ! [X70,X69] :
      ( hskp1
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | c0_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c3_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X70,X69] :
      ( hskp1
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | c0_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c3_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( spl0_51
    | ~ spl0_17
    | spl0_42
    | spl0_31 ),
    inference(avatar_split_clause,[],[f223,f378,f431,f321,f474]) ).

fof(f223,plain,
    ! [X68,X67] :
      ( hskp11
      | ~ c0_1(X67)
      | c2_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X68,X67] :
      ( hskp11
      | ~ c0_1(X67)
      | c2_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_51
    | spl0_22
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f225,f371,f321,f341,f474]) ).

fof(f225,plain,
    ! [X62,X63,X64] :
      ( ~ c3_1(X62)
      | ~ c1_1(X62)
      | c2_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ c2_1(X64)
      | c3_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X62,X63,X64] :
      ( ~ c3_1(X62)
      | ~ c1_1(X62)
      | c2_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | c3_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( spl0_48
    | ~ spl0_17
    | spl0_49
    | spl0_31 ),
    inference(avatar_split_clause,[],[f227,f378,f465,f321,f462]) ).

fof(f227,plain,
    ! [X58,X57] :
      ( hskp11
      | ~ c2_1(X57)
      | c3_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X58,X57] :
      ( hskp11
      | ~ c2_1(X57)
      | c3_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_44
    | ~ spl0_17
    | spl0_32
    | spl0_16 ),
    inference(avatar_split_clause,[],[f230,f316,f383,f321,f439]) ).

fof(f230,plain,
    ! [X48,X49] :
      ( hskp27
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X48,X49] :
      ( hskp27
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( spl0_44
    | ~ spl0_17
    | spl0_30
    | spl0_23 ),
    inference(avatar_split_clause,[],[f231,f344,f375,f321,f439]) ).

fof(f231,plain,
    ! [X46,X47] :
      ( hskp16
      | ~ c0_1(X46)
      | c3_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X46,X47] :
      ( hskp16
      | ~ c0_1(X46)
      | c3_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( spl0_44
    | ~ spl0_17
    | spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f232,f393,f333,f321,f439]) ).

fof(f232,plain,
    ! [X44,X45] :
      ( hskp26
      | ~ c2_1(X44)
      | ~ c1_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c0_1(X45) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X44,X45] :
      ( hskp26
      | ~ c2_1(X44)
      | ~ c1_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( ~ spl0_17
    | spl0_44
    | spl0_31
    | spl0_45 ),
    inference(avatar_split_clause,[],[f166,f442,f378,f439,f321]) ).

fof(f166,plain,
    ! [X42] :
      ( hskp0
      | hskp11
      | ~ c3_1(X42)
      | ~ c2_1(X42)
      | c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( spl0_37
    | ~ spl0_17
    | spl0_32
    | spl0_34 ),
    inference(avatar_split_clause,[],[f236,f393,f383,f321,f407]) ).

fof(f236,plain,
    ! [X32,X33] :
      ( hskp26
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X32,X33] :
      ( hskp26
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_37
    | ~ spl0_17
    | spl0_29
    | spl0_8 ),
    inference(avatar_split_clause,[],[f237,f278,f371,f321,f407]) ).

fof(f237,plain,
    ! [X31,X30] :
      ( hskp3
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X31,X30] :
      ( hskp3
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( spl0_37
    | spl0_18
    | ~ spl0_17
    | spl0_39 ),
    inference(avatar_split_clause,[],[f238,f416,f321,f325,f407]) ).

fof(f238,plain,
    ! [X28,X29,X27] :
      ( ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X28,X29,X27] :
      ( ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( ~ spl0_17
    | spl0_37
    | spl0_12
    | spl0_36 ),
    inference(avatar_split_clause,[],[f175,f401,f297,f407,f321]) ).

fof(f175,plain,
    ! [X26] :
      ( hskp8
      | hskp1
      | ~ c0_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( spl0_33
    | ~ spl0_17
    | spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f240,f401,f398,f321,f389]) ).

fof(f240,plain,
    ! [X21,X22] :
      ( hskp8
      | ~ c1_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X21,X22] :
      ( hskp8
      | ~ c1_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_34
    | spl0_7 ),
    inference(avatar_split_clause,[],[f179,f274,f393,f389,f321]) ).

fof(f179,plain,
    ! [X20] :
      ( hskp5
      | hskp26
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_31
    | spl0_5 ),
    inference(avatar_split_clause,[],[f180,f265,f378,f389,f321]) ).

fof(f180,plain,
    ! [X19] :
      ( hskp10
      | hskp11
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( spl0_25
    | ~ spl0_17
    | spl0_29
    | spl0_7 ),
    inference(avatar_split_clause,[],[f244,f274,f371,f321,f353]) ).

fof(f244,plain,
    ! [X10,X11] :
      ( hskp5
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X10,X11] :
      ( hskp5
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f351,plain,
    ( spl0_22
    | ~ spl0_17
    | spl0_24
    | spl0_21 ),
    inference(avatar_split_clause,[],[f246,f336,f349,f321,f341]) ).

fof(f246,plain,
    ! [X3,X4] :
      ( hskp4
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | ~ c3_1(X4)
      | ~ c0_1(X4)
      | c2_1(X4) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X3,X4] :
      ( hskp4
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | ~ c3_1(X4)
      | ~ c0_1(X4)
      | c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f347,plain,
    ( ~ spl0_17
    | spl0_22
    | spl0_14
    | spl0_23 ),
    inference(avatar_split_clause,[],[f191,f344,f307,f341,f321]) ).

fof(f191,plain,
    ! [X2] :
      ( hskp16
      | hskp7
      | ~ c3_1(X2)
      | ~ c0_1(X2)
      | c2_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f331,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_11
    | spl0_19 ),
    inference(avatar_split_clause,[],[f193,f328,f293,f325,f321]) ).

fof(f193,plain,
    ! [X0] :
      ( hskp22
      | hskp17
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f314,plain,
    ( spl0_14
    | spl0_10
    | spl0_15 ),
    inference(avatar_split_clause,[],[f195,f311,f288,f307]) ).

fof(f195,plain,
    ( hskp15
    | hskp23
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f305,plain,
    ( spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f196,f302,f293]) ).

fof(f196,plain,
    ( hskp2
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_11
    | spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f197,f297,f288,f293]) ).

fof(f197,plain,
    ( hskp1
    | hskp23
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f286,plain,
    ( spl0_9
    | spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f199,f256,f274,f283]) ).

fof(f199,plain,
    ( hskp18
    | hskp5
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem    : SYN485+1 : TPTP v8.1.2. Released v2.1.0.
% 0.02/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit   : 300
% 0.08/0.27  % WCLimit    : 300
% 0.08/0.27  % DateTime   : Tue Apr 30 01:54:21 EDT 2024
% 0.08/0.27  % CPUTime    : 
% 0.08/0.28  % (31542)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.29  % (31547)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.08/0.29  % (31546)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.08/0.29  % (31548)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.08/0.29  % (31543)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.08/0.29  % (31544)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.29  % (31545)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.08/0.29  % (31549)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.08/0.30  Detected minimum model sizes of [1]
% 0.08/0.30  Detected maximum model sizes of [30]
% 0.08/0.30  TRYING [1]
% 0.08/0.30  TRYING [2]
% 0.08/0.30  Detected minimum model sizes of [1]
% 0.08/0.30  Detected maximum model sizes of [30]
% 0.08/0.30  TRYING [1]
% 0.08/0.30  TRYING [3]
% 0.08/0.30  Detected minimum model sizes of [1]
% 0.08/0.30  Detected maximum model sizes of [30]
% 0.08/0.30  TRYING [1]
% 0.08/0.30  TRYING [2]
% 0.08/0.30  TRYING [2]
% 0.08/0.30  TRYING [3]
% 0.08/0.30  TRYING [4]
% 0.08/0.30  TRYING [3]
% 0.08/0.31  Detected minimum model sizes of [1]
% 0.08/0.31  Detected maximum model sizes of [30]
% 0.08/0.31  TRYING [1]
% 0.08/0.31  TRYING [2]
% 0.08/0.31  TRYING [4]
% 0.12/0.31  TRYING [3]
% 0.12/0.31  TRYING [4]
% 0.12/0.31  TRYING [5]
% 0.12/0.31  TRYING [4]
% 0.12/0.32  TRYING [5]
% 0.12/0.32  TRYING [5]
% 0.12/0.32  % (31548)First to succeed.
% 0.12/0.32  TRYING [5]
% 0.12/0.32  TRYING [6]
% 0.12/0.33  % (31548)Refutation found. Thanks to Tanya!
% 0.12/0.33  % SZS status Theorem for theBenchmark
% 0.12/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.33  % (31548)------------------------------
% 0.12/0.33  % (31548)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.33  % (31548)Termination reason: Refutation
% 0.12/0.33  
% 0.12/0.33  % (31548)Memory used [KB]: 1929
% 0.12/0.33  % (31548)Time elapsed: 0.035 s
% 0.12/0.33  % (31548)Instructions burned: 87 (million)
% 0.12/0.33  % (31548)------------------------------
% 0.12/0.33  % (31548)------------------------------
% 0.12/0.33  % (31542)Success in time 0.042 s
%------------------------------------------------------------------------------