TSTP Solution File: SYN455+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN455+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 : n015.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 : Sun May  5 12:10:29 EDT 2024

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  130
% Syntax   : Number of formulae    :  713 (   1 unt;   0 def)
%            Number of atoms       : 6104 (   0 equ)
%            Maximal formula atoms :  603 (   8 avg)
%            Number of connectives : 8164 (2773   ~;3804   |;1098   &)
%                                         ( 129 <=>; 360  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   98 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  166 ( 165 usr; 162 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  721 ( 721   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3439,plain,
    $false,
    inference(avatar_sat_refutation,[],[f229,f242,f263,f275,f311,f316,f324,f330,f351,f355,f356,f365,f370,f383,f385,f411,f412,f413,f427,f429,f433,f438,f442,f450,f451,f452,f460,f461,f465,f469,f470,f474,f478,f479,f484,f487,f491,f528,f533,f538,f544,f549,f554,f576,f581,f586,f608,f613,f640,f645,f650,f651,f656,f666,f672,f677,f682,f688,f698,f704,f709,f720,f725,f730,f736,f741,f746,f752,f757,f762,f768,f773,f778,f779,f784,f789,f794,f795,f800,f805,f810,f816,f821,f826,f832,f837,f842,f848,f853,f858,f864,f869,f874,f880,f885,f890,f896,f901,f906,f912,f917,f922,f928,f933,f938,f944,f949,f954,f976,f981,f986,f1019,f1095,f1243,f1289,f1414,f1420,f1478,f1543,f1556,f1590,f1592,f1664,f1822,f1921,f1924,f1925,f1988,f2024,f2055,f2072,f2077,f2102,f2188,f2192,f2195,f2280,f2300,f2303,f2338,f2359,f2371,f2509,f2560,f2566,f2572,f2633,f2673,f2694,f2704,f2730,f2763,f2816,f2826,f2829,f2877,f2880,f2883,f2912,f2937,f2965,f2967,f2993,f2995,f2997,f3034,f3137,f3142,f3207,f3221,f3225,f3240,f3253,f3274,f3348,f3350,f3384,f3438]) ).

fof(f3438,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | ~ spl0_44
    | spl0_119
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3437]) ).

fof(f3437,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_44
    | spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3434,f809]) ).

fof(f809,plain,
    ( c0_1(a914)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f807,plain,
    ( spl0_121
  <=> c0_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3434,plain,
    ( ~ c0_1(a914)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_44
    | spl0_119 ),
    inference(resolution,[],[f3426,f799]) ).

fof(f799,plain,
    ( ~ c2_1(a914)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f797,plain,
    ( spl0_119
  <=> c2_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3426,plain,
    ( ! [X39] :
        ( c2_1(X39)
        | ~ c0_1(X39) )
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f406,f3366]) ).

fof(f3366,plain,
    ( ! [X12] :
        ( c2_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f341,f306]) ).

fof(f306,plain,
    ( ! [X5] :
        ( c2_1(X5)
        | ~ c3_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl0_22
  <=> ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f341,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | c3_1(X12) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl0_30
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f406,plain,
    ( ! [X39] :
        ( c2_1(X39)
        | c1_1(X39)
        | ~ c0_1(X39) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f405,plain,
    ( spl0_44
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f3384,plain,
    ( spl0_101
    | ~ spl0_34
    | ~ spl0_55
    | spl0_102 ),
    inference(avatar_split_clause,[],[f3378,f706,f458,f358,f701]) ).

fof(f701,plain,
    ( spl0_101
  <=> c3_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f358,plain,
    ( spl0_34
  <=> ! [X20] :
        ( ~ c0_1(X20)
        | c2_1(X20)
        | c3_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f458,plain,
    ( spl0_55
  <=> ! [X61] :
        ( c3_1(X61)
        | c0_1(X61)
        | c2_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f706,plain,
    ( spl0_102
  <=> c2_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3378,plain,
    ( c3_1(a936)
    | ~ spl0_34
    | ~ spl0_55
    | spl0_102 ),
    inference(resolution,[],[f3365,f708]) ).

fof(f708,plain,
    ( ~ c2_1(a936)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f3365,plain,
    ( ! [X61] :
        ( c2_1(X61)
        | c3_1(X61) )
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f459,f359]) ).

fof(f359,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c2_1(X20)
        | c3_1(X20) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f459,plain,
    ( ! [X61] :
        ( c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f3350,plain,
    ( ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3349]) ).

fof(f3349,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f3338,f804]) ).

fof(f804,plain,
    ( c3_1(a914)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f802,plain,
    ( spl0_120
  <=> c3_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3338,plain,
    ( ~ c3_1(a914)
    | ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_121 ),
    inference(resolution,[],[f3333,f809]) ).

fof(f3333,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | ~ c3_1(X26) )
    | ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f378,f3307]) ).

fof(f3307,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_20
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f354,f298]) ).

fof(f298,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl0_20
  <=> ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f354,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | ~ c0_1(X15)
        | ~ c3_1(X15) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f353,plain,
    ( spl0_33
  <=> ! [X15] :
        ( ~ c3_1(X15)
        | ~ c0_1(X15)
        | ~ c1_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f378,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c1_1(X26)
        | ~ c3_1(X26) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_38
  <=> ! [X26] :
        ( ~ c3_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f3348,plain,
    ( ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_136
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f3347]) ).

fof(f3347,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_136
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f3337,f2310]) ).

fof(f2310,plain,
    ( c3_1(a907)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2309]) ).

fof(f2309,plain,
    ( spl0_171
  <=> c3_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f3337,plain,
    ( ~ c3_1(a907)
    | ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_136 ),
    inference(resolution,[],[f3333,f889]) ).

fof(f889,plain,
    ( c0_1(a907)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_136
  <=> c0_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3274,plain,
    ( ~ spl0_20
    | spl0_137
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f3273]) ).

fof(f3273,plain,
    ( $false
    | ~ spl0_20
    | spl0_137
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f3272,f905]) ).

fof(f905,plain,
    ( c0_1(a906)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl0_139
  <=> c0_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3272,plain,
    ( ~ c0_1(a906)
    | ~ spl0_20
    | spl0_137
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f3257,f895]) ).

fof(f895,plain,
    ( ~ c3_1(a906)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl0_137
  <=> c3_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3257,plain,
    ( c3_1(a906)
    | ~ c0_1(a906)
    | ~ spl0_20
    | ~ spl0_167 ),
    inference(resolution,[],[f298,f1761]) ).

fof(f1761,plain,
    ( c1_1(a906)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f1760,plain,
    ( spl0_167
  <=> c1_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f3253,plain,
    ( ~ spl0_44
    | ~ spl0_51
    | ~ spl0_60
    | spl0_152
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3252]) ).

fof(f3252,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_51
    | ~ spl0_60
    | spl0_152
    | spl0_153 ),
    inference(subsumption_resolution,[],[f3241,f980]) ).

fof(f980,plain,
    ( ~ c1_1(a901)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f978,plain,
    ( spl0_153
  <=> c1_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3241,plain,
    ( c1_1(a901)
    | ~ spl0_44
    | ~ spl0_51
    | ~ spl0_60
    | spl0_152 ),
    inference(resolution,[],[f3220,f975]) ).

fof(f975,plain,
    ( ~ c3_1(a901)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl0_152
  <=> c3_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3220,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_44
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f3211]) ).

fof(f3211,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_44
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(resolution,[],[f3209,f441]) ).

fof(f441,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | c1_1(X54)
        | c3_1(X54) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl0_51
  <=> ! [X54] :
        ( ~ c2_1(X54)
        | c1_1(X54)
        | c3_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f3209,plain,
    ( ! [X76] :
        ( c2_1(X76)
        | c1_1(X76) )
    | ~ spl0_44
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f482,f406]) ).

fof(f482,plain,
    ( ! [X76] :
        ( c2_1(X76)
        | c0_1(X76)
        | c1_1(X76) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_60
  <=> ! [X76] :
        ( c2_1(X76)
        | c0_1(X76)
        | c1_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f3240,plain,
    ( ~ spl0_34
    | ~ spl0_51
    | ~ spl0_55
    | spl0_152
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3239]) ).

fof(f3239,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_51
    | ~ spl0_55
    | spl0_152
    | spl0_153 ),
    inference(subsumption_resolution,[],[f3228,f980]) ).

fof(f3228,plain,
    ( c1_1(a901)
    | ~ spl0_34
    | ~ spl0_51
    | ~ spl0_55
    | spl0_152 ),
    inference(resolution,[],[f3178,f975]) ).

fof(f3178,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_34
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f3169]) ).

fof(f3169,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_34
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(resolution,[],[f3168,f441]) ).

fof(f3168,plain,
    ( ! [X61] :
        ( c2_1(X61)
        | c3_1(X61) )
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f459,f359]) ).

fof(f3225,plain,
    ( spl0_162
    | spl0_107
    | ~ spl0_51
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3074,f743,f440,f733,f1553]) ).

fof(f1553,plain,
    ( spl0_162
  <=> c3_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f733,plain,
    ( spl0_107
  <=> c1_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f743,plain,
    ( spl0_109
  <=> c2_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3074,plain,
    ( c1_1(a924)
    | c3_1(a924)
    | ~ spl0_51
    | ~ spl0_109 ),
    inference(resolution,[],[f441,f745]) ).

fof(f745,plain,
    ( c2_1(a924)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f3221,plain,
    ( spl0_57
    | ~ spl0_44
    | ~ spl0_48
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f3212,f481,f425,f405,f467]) ).

fof(f467,plain,
    ( spl0_57
  <=> ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66)
        | c1_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f425,plain,
    ( spl0_48
  <=> ! [X47] :
        ( ~ c3_1(X47)
        | c0_1(X47)
        | ~ c2_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3212,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_44
    | ~ spl0_48
    | ~ spl0_60 ),
    inference(resolution,[],[f3209,f426]) ).

fof(f426,plain,
    ( ! [X47] :
        ( ~ c2_1(X47)
        | c0_1(X47)
        | ~ c3_1(X47) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f3207,plain,
    ( ~ spl0_57
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f3206]) ).

fof(f3206,plain,
    ( $false
    | ~ spl0_57
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f3205,f751]) ).

fof(f751,plain,
    ( ~ c1_1(a923)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f749,plain,
    ( spl0_110
  <=> c1_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3205,plain,
    ( c1_1(a923)
    | ~ spl0_57
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f3188,f756]) ).

fof(f756,plain,
    ( ~ c0_1(a923)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_111
  <=> c0_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3188,plain,
    ( c0_1(a923)
    | c1_1(a923)
    | ~ spl0_57
    | ~ spl0_112 ),
    inference(resolution,[],[f468,f761]) ).

fof(f761,plain,
    ( c3_1(a923)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl0_112
  <=> c3_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f468,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66)
        | c1_1(X66) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f3142,plain,
    ( spl0_167
    | ~ spl0_51
    | spl0_137
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3141,f898,f893,f440,f1760]) ).

fof(f898,plain,
    ( spl0_138
  <=> c2_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3141,plain,
    ( c1_1(a906)
    | ~ spl0_51
    | spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3139,f895]) ).

fof(f3139,plain,
    ( c1_1(a906)
    | c3_1(a906)
    | ~ spl0_51
    | ~ spl0_138 ),
    inference(resolution,[],[f900,f441]) ).

fof(f900,plain,
    ( c2_1(a906)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f3137,plain,
    ( ~ spl0_136
    | ~ spl0_25
    | ~ spl0_34
    | spl0_134 ),
    inference(avatar_split_clause,[],[f3046,f877,f358,f318,f887]) ).

fof(f318,plain,
    ( spl0_25
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f877,plain,
    ( spl0_134
  <=> c2_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f3046,plain,
    ( ~ c0_1(a907)
    | ~ spl0_25
    | ~ spl0_34
    | spl0_134 ),
    inference(resolution,[],[f3041,f879]) ).

fof(f879,plain,
    ( ~ c2_1(a907)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f3041,plain,
    ( ! [X20] :
        ( c2_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_25
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f359,f319]) ).

fof(f319,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c2_1(X7)
        | ~ c3_1(X7) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f3034,plain,
    ( spl0_171
    | ~ spl0_30
    | spl0_134
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f3033,f882,f877,f340,f2309]) ).

fof(f882,plain,
    ( spl0_135
  <=> c1_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3033,plain,
    ( c3_1(a907)
    | ~ spl0_30
    | spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3016,f879]) ).

fof(f3016,plain,
    ( c2_1(a907)
    | c3_1(a907)
    | ~ spl0_30
    | ~ spl0_135 ),
    inference(resolution,[],[f341,f884]) ).

fof(f884,plain,
    ( c1_1(a907)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f2997,plain,
    ( ~ spl0_48
    | ~ spl0_61
    | spl0_83
    | ~ spl0_84 ),
    inference(avatar_contradiction_clause,[],[f2996]) ).

fof(f2996,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_61
    | spl0_83
    | ~ spl0_84 ),
    inference(subsumption_resolution,[],[f2984,f607]) ).

fof(f607,plain,
    ( ~ c0_1(a954)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f605,plain,
    ( spl0_83
  <=> c0_1(a954) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2984,plain,
    ( c0_1(a954)
    | ~ spl0_48
    | ~ spl0_61
    | ~ spl0_84 ),
    inference(resolution,[],[f2972,f612]) ).

fof(f612,plain,
    ( c3_1(a954)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl0_84
  <=> c3_1(a954) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2972,plain,
    ( ! [X88] :
        ( ~ c3_1(X88)
        | c0_1(X88) )
    | ~ spl0_48
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f490,f426]) ).

fof(f490,plain,
    ( ! [X88] :
        ( c2_1(X88)
        | c0_1(X88)
        | ~ c3_1(X88) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f489,plain,
    ( spl0_61
  <=> ! [X88] :
        ( ~ c3_1(X88)
        | c0_1(X88)
        | c2_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2995,plain,
    ( ~ spl0_48
    | ~ spl0_61
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2994]) ).

fof(f2994,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_61
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f2981,f756]) ).

fof(f2981,plain,
    ( c0_1(a923)
    | ~ spl0_48
    | ~ spl0_61
    | ~ spl0_112 ),
    inference(resolution,[],[f2972,f761]) ).

fof(f2993,plain,
    ( ~ spl0_48
    | ~ spl0_61
    | ~ spl0_117
    | spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2992]) ).

fof(f2992,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_61
    | ~ spl0_117
    | spl0_159 ),
    inference(subsumption_resolution,[],[f2980,f1256]) ).

fof(f1256,plain,
    ( ~ c0_1(a917)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1254,plain,
    ( spl0_159
  <=> c0_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2980,plain,
    ( c0_1(a917)
    | ~ spl0_48
    | ~ spl0_61
    | ~ spl0_117 ),
    inference(resolution,[],[f2972,f788]) ).

fof(f788,plain,
    ( c3_1(a917)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl0_117
  <=> c3_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2967,plain,
    ( ~ spl0_158
    | ~ spl0_48
    | spl0_122
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2966,f818,f813,f425,f1092]) ).

fof(f1092,plain,
    ( spl0_158
  <=> c3_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f813,plain,
    ( spl0_122
  <=> c0_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f818,plain,
    ( spl0_123
  <=> c2_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2966,plain,
    ( ~ c3_1(a912)
    | ~ spl0_48
    | spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f2952,f815]) ).

fof(f815,plain,
    ( ~ c0_1(a912)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f2952,plain,
    ( c0_1(a912)
    | ~ c3_1(a912)
    | ~ spl0_48
    | ~ spl0_123 ),
    inference(resolution,[],[f426,f820]) ).

fof(f820,plain,
    ( c2_1(a912)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f2965,plain,
    ( spl0_56
    | ~ spl0_22
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f2964,f425,f305,f463]) ).

fof(f463,plain,
    ( spl0_56
  <=> ! [X64] :
        ( ~ c3_1(X64)
        | c0_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2964,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f2949]) ).

fof(f2949,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_48 ),
    inference(resolution,[],[f426,f306]) ).

fof(f2937,plain,
    ( ~ spl0_20
    | ~ spl0_41
    | spl0_146
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2936]) ).

fof(f2936,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_41
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2927,f943]) ).

fof(f943,plain,
    ( ~ c3_1(a903)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_146
  <=> c3_1(a903) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2927,plain,
    ( c3_1(a903)
    | ~ spl0_20
    | ~ spl0_41
    | ~ spl0_148 ),
    inference(resolution,[],[f2925,f953]) ).

fof(f953,plain,
    ( c0_1(a903)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f951,plain,
    ( spl0_148
  <=> c0_1(a903) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2925,plain,
    ( ! [X35] :
        ( ~ c0_1(X35)
        | c3_1(X35) )
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f393,f298]) ).

fof(f393,plain,
    ( ! [X35] :
        ( c3_1(X35)
        | c1_1(X35)
        | ~ c0_1(X35) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl0_41
  <=> ! [X35] :
        ( ~ c0_1(X35)
        | c1_1(X35)
        | c3_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2912,plain,
    ( spl0_77
    | ~ spl0_38
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2911,f583,f578,f377,f573]) ).

fof(f573,plain,
    ( spl0_77
  <=> c1_1(a960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f578,plain,
    ( spl0_78
  <=> c3_1(a960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f583,plain,
    ( spl0_79
  <=> c0_1(a960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2911,plain,
    ( c1_1(a960)
    | ~ spl0_38
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f2899,f580]) ).

fof(f580,plain,
    ( c3_1(a960)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f2899,plain,
    ( c1_1(a960)
    | ~ c3_1(a960)
    | ~ spl0_38
    | ~ spl0_79 ),
    inference(resolution,[],[f378,f585]) ).

fof(f585,plain,
    ( c0_1(a960)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f2883,plain,
    ( ~ spl0_136
    | spl0_171
    | ~ spl0_20
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2838,f882,f297,f2309,f887]) ).

fof(f2838,plain,
    ( c3_1(a907)
    | ~ c0_1(a907)
    | ~ spl0_20
    | ~ spl0_135 ),
    inference(resolution,[],[f298,f884]) ).

fof(f2880,plain,
    ( ~ spl0_22
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2879]) ).

fof(f2879,plain,
    ( $false
    | ~ spl0_22
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2878,f793]) ).

fof(f793,plain,
    ( c1_1(a917)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f791,plain,
    ( spl0_118
  <=> c1_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2878,plain,
    ( ~ c1_1(a917)
    | ~ spl0_22
    | spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f2871,f788]) ).

fof(f2871,plain,
    ( ~ c3_1(a917)
    | ~ c1_1(a917)
    | ~ spl0_22
    | spl0_116 ),
    inference(resolution,[],[f306,f783]) ).

fof(f783,plain,
    ( ~ c2_1(a917)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f781,plain,
    ( spl0_116
  <=> c2_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2877,plain,
    ( ~ spl0_171
    | ~ spl0_22
    | spl0_134
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2876,f882,f877,f305,f2309]) ).

fof(f2876,plain,
    ( ~ c3_1(a907)
    | ~ spl0_22
    | spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2869,f884]) ).

fof(f2869,plain,
    ( ~ c3_1(a907)
    | ~ c1_1(a907)
    | ~ spl0_22
    | spl0_134 ),
    inference(resolution,[],[f306,f879]) ).

fof(f2829,plain,
    ( spl0_137
    | ~ spl0_17
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2828,f903,f898,f285,f893]) ).

fof(f285,plain,
    ( spl0_17
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2828,plain,
    ( c3_1(a906)
    | ~ spl0_17
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2801,f905]) ).

fof(f2801,plain,
    ( c3_1(a906)
    | ~ c0_1(a906)
    | ~ spl0_17
    | ~ spl0_138 ),
    inference(resolution,[],[f286,f900]) ).

fof(f286,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f2826,plain,
    ( ~ spl0_17
    | spl0_92
    | ~ spl0_94
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2825]) ).

fof(f2825,plain,
    ( $false
    | ~ spl0_17
    | spl0_92
    | ~ spl0_94
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2824,f665]) ).

fof(f665,plain,
    ( c0_1(a939)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f663,plain,
    ( spl0_94
  <=> c0_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2824,plain,
    ( ~ c0_1(a939)
    | ~ spl0_17
    | spl0_92
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2823,f655]) ).

fof(f655,plain,
    ( ~ c3_1(a939)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f653,plain,
    ( spl0_92
  <=> c3_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2823,plain,
    ( c3_1(a939)
    | ~ c0_1(a939)
    | ~ spl0_17
    | ~ spl0_157 ),
    inference(resolution,[],[f1079,f286]) ).

fof(f1079,plain,
    ( c2_1(a939)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1078,plain,
    ( spl0_157
  <=> c2_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2816,plain,
    ( ~ spl0_164
    | ~ spl0_17
    | spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2815,f722,f717,f285,f1620]) ).

fof(f1620,plain,
    ( spl0_164
  <=> c0_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f717,plain,
    ( spl0_104
  <=> c3_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f722,plain,
    ( spl0_105
  <=> c2_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2815,plain,
    ( ~ c0_1(a926)
    | ~ spl0_17
    | spl0_104
    | ~ spl0_105 ),
    inference(subsumption_resolution,[],[f2805,f719]) ).

fof(f719,plain,
    ( ~ c3_1(a926)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f2805,plain,
    ( c3_1(a926)
    | ~ c0_1(a926)
    | ~ spl0_17
    | ~ spl0_105 ),
    inference(resolution,[],[f286,f724]) ).

fof(f724,plain,
    ( c2_1(a926)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f2763,plain,
    ( ~ spl0_117
    | ~ spl0_33
    | ~ spl0_56
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2749,f791,f463,f353,f786]) ).

fof(f2749,plain,
    ( ~ c3_1(a917)
    | ~ spl0_33
    | ~ spl0_56
    | ~ spl0_118 ),
    inference(resolution,[],[f2736,f793]) ).

fof(f2736,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | ~ c3_1(X15) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f354,f464]) ).

fof(f464,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | c0_1(X64)
        | ~ c3_1(X64) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f2730,plain,
    ( ~ spl0_56
    | ~ spl0_57
    | spl0_95
    | ~ spl0_96 ),
    inference(avatar_contradiction_clause,[],[f2729]) ).

fof(f2729,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_57
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2723,f671]) ).

fof(f671,plain,
    ( ~ c0_1(a938)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f669,plain,
    ( spl0_95
  <=> c0_1(a938) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2723,plain,
    ( c0_1(a938)
    | ~ spl0_56
    | ~ spl0_57
    | ~ spl0_96 ),
    inference(resolution,[],[f2715,f676]) ).

fof(f676,plain,
    ( c3_1(a938)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f674,plain,
    ( spl0_96
  <=> c3_1(a938) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2715,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66) )
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f468,f464]) ).

fof(f2704,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | spl0_98
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f2703]) ).

fof(f2703,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | spl0_98
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2691,f697]) ).

fof(f697,plain,
    ( c1_1(a937)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f695,plain,
    ( spl0_100
  <=> c1_1(a937) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2691,plain,
    ( ~ c1_1(a937)
    | ~ spl0_22
    | ~ spl0_30
    | spl0_98 ),
    inference(resolution,[],[f2682,f687]) ).

fof(f687,plain,
    ( ~ c2_1(a937)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f685,plain,
    ( spl0_98
  <=> c2_1(a937) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2682,plain,
    ( ! [X5] :
        ( c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f306,f341]) ).

fof(f2694,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2693]) ).

fof(f2693,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_30
    | spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2685,f884]) ).

fof(f2685,plain,
    ( ~ c1_1(a907)
    | ~ spl0_22
    | ~ spl0_30
    | spl0_134 ),
    inference(resolution,[],[f2682,f879]) ).

fof(f2673,plain,
    ( ~ spl0_58
    | ~ spl0_60
    | spl0_110
    | spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2672]) ).

fof(f2672,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_60
    | spl0_110
    | spl0_111 ),
    inference(subsumption_resolution,[],[f2659,f756]) ).

fof(f2659,plain,
    ( c0_1(a923)
    | ~ spl0_58
    | ~ spl0_60
    | spl0_110 ),
    inference(resolution,[],[f2641,f751]) ).

fof(f2641,plain,
    ( ! [X69] :
        ( c1_1(X69)
        | c0_1(X69) )
    | ~ spl0_58
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f473,f482]) ).

fof(f473,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | c0_1(X69)
        | c1_1(X69) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl0_58
  <=> ! [X69] :
        ( ~ c2_1(X69)
        | c0_1(X69)
        | c1_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2633,plain,
    ( ~ spl0_160
    | ~ spl0_12
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2632,f546,f541,f265,f1429]) ).

fof(f1429,plain,
    ( spl0_160
  <=> c0_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f265,plain,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f541,plain,
    ( spl0_71
  <=> c3_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f546,plain,
    ( spl0_72
  <=> c2_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2632,plain,
    ( ~ c0_1(a900)
    | ~ spl0_12
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f2610,f543]) ).

fof(f543,plain,
    ( c3_1(a900)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f2610,plain,
    ( ~ c0_1(a900)
    | ~ c3_1(a900)
    | ~ spl0_12
    | ~ spl0_72 ),
    inference(resolution,[],[f266,f548]) ).

fof(f548,plain,
    ( c2_1(a900)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f266,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f2572,plain,
    ( ~ spl0_30
    | ~ spl0_60
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f2571]) ).

fof(f2571,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_60
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f2570,f639]) ).

fof(f639,plain,
    ( ~ c3_1(a946)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f637,plain,
    ( spl0_89
  <=> c3_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2570,plain,
    ( c3_1(a946)
    | ~ spl0_30
    | ~ spl0_60
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f2569,f644]) ).

fof(f644,plain,
    ( ~ c2_1(a946)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f642,plain,
    ( spl0_90
  <=> c2_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2569,plain,
    ( c2_1(a946)
    | c3_1(a946)
    | ~ spl0_30
    | ~ spl0_60
    | spl0_90
    | spl0_91 ),
    inference(resolution,[],[f2546,f341]) ).

fof(f2546,plain,
    ( c1_1(a946)
    | ~ spl0_60
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f2544,f649]) ).

fof(f649,plain,
    ( ~ c0_1(a946)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_91
  <=> c0_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2544,plain,
    ( c0_1(a946)
    | c1_1(a946)
    | ~ spl0_60
    | spl0_90 ),
    inference(resolution,[],[f482,f644]) ).

fof(f2566,plain,
    ( ~ spl0_56
    | ~ spl0_60
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2565]) ).

fof(f2565,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_60
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2564,f921]) ).

fof(f921,plain,
    ( c3_1(a905)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_142
  <=> c3_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2564,plain,
    ( ~ c3_1(a905)
    | ~ spl0_56
    | ~ spl0_60
    | spl0_140
    | spl0_141 ),
    inference(subsumption_resolution,[],[f2561,f916]) ).

fof(f916,plain,
    ( ~ c0_1(a905)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl0_141
  <=> c0_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2561,plain,
    ( c0_1(a905)
    | ~ c3_1(a905)
    | ~ spl0_56
    | ~ spl0_60
    | spl0_140
    | spl0_141 ),
    inference(resolution,[],[f2545,f464]) ).

fof(f2545,plain,
    ( c1_1(a905)
    | ~ spl0_60
    | spl0_140
    | spl0_141 ),
    inference(subsumption_resolution,[],[f2536,f916]) ).

fof(f2536,plain,
    ( c0_1(a905)
    | c1_1(a905)
    | ~ spl0_60
    | spl0_140 ),
    inference(resolution,[],[f482,f911]) ).

fof(f911,plain,
    ( ~ c2_1(a905)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl0_140
  <=> c2_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2560,plain,
    ( ~ spl0_61
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2559]) ).

fof(f2559,plain,
    ( $false
    | ~ spl0_61
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2558,f921]) ).

fof(f2558,plain,
    ( ~ c3_1(a905)
    | ~ spl0_61
    | spl0_140
    | spl0_141 ),
    inference(subsumption_resolution,[],[f2549,f916]) ).

fof(f2549,plain,
    ( c0_1(a905)
    | ~ c3_1(a905)
    | ~ spl0_61
    | spl0_140 ),
    inference(resolution,[],[f490,f911]) ).

fof(f2509,plain,
    ( ~ spl0_15
    | ~ spl0_30
    | ~ spl0_41
    | spl0_137
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2508]) ).

fof(f2508,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_41
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2499,f905]) ).

fof(f2499,plain,
    ( ~ c0_1(a906)
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_41
    | spl0_137 ),
    inference(resolution,[],[f2497,f895]) ).

fof(f2497,plain,
    ( ! [X35] :
        ( c3_1(X35)
        | ~ c0_1(X35) )
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f393,f2447]) ).

fof(f2447,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f278,f341]) ).

fof(f278,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl0_15
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2371,plain,
    ( ~ spl0_59
    | spl0_107
    | spl0_108
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2370]) ).

fof(f2370,plain,
    ( $false
    | ~ spl0_59
    | spl0_107
    | spl0_108
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2369,f735]) ).

fof(f735,plain,
    ( ~ c1_1(a924)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f2369,plain,
    ( c1_1(a924)
    | ~ spl0_59
    | spl0_108
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2351,f740]) ).

fof(f740,plain,
    ( ~ c0_1(a924)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f738,plain,
    ( spl0_108
  <=> c0_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2351,plain,
    ( c0_1(a924)
    | c1_1(a924)
    | ~ spl0_59
    | spl0_162 ),
    inference(resolution,[],[f477,f1554]) ).

fof(f1554,plain,
    ( ~ c3_1(a924)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1553]) ).

fof(f477,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | c0_1(X72)
        | c1_1(X72) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_59
  <=> ! [X72] :
        ( c3_1(X72)
        | c0_1(X72)
        | c1_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2359,plain,
    ( ~ spl0_59
    | spl0_152
    | spl0_153
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2358]) ).

fof(f2358,plain,
    ( $false
    | ~ spl0_59
    | spl0_152
    | spl0_153
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2357,f980]) ).

fof(f2357,plain,
    ( c1_1(a901)
    | ~ spl0_59
    | spl0_152
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2343,f985]) ).

fof(f985,plain,
    ( ~ c0_1(a901)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f983,plain,
    ( spl0_154
  <=> c0_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2343,plain,
    ( c0_1(a901)
    | c1_1(a901)
    | ~ spl0_59
    | spl0_152 ),
    inference(resolution,[],[f477,f975]) ).

fof(f2338,plain,
    ( ~ spl0_49
    | ~ spl0_58
    | spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_58
    | spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f2326,f772]) ).

fof(f772,plain,
    ( ~ c0_1(a921)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_114
  <=> c0_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2326,plain,
    ( c0_1(a921)
    | ~ spl0_49
    | ~ spl0_58
    | ~ spl0_115 ),
    inference(resolution,[],[f2318,f777]) ).

fof(f777,plain,
    ( c2_1(a921)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_115
  <=> c2_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2318,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | c0_1(X69) )
    | ~ spl0_49
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f473,f432]) ).

fof(f432,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | c0_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f431,plain,
    ( spl0_49
  <=> ! [X51] :
        ( ~ c2_1(X51)
        | c0_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2303,plain,
    ( ~ spl0_56
    | ~ spl0_57
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2302]) ).

fof(f2302,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_57
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f2288,f756]) ).

fof(f2288,plain,
    ( c0_1(a923)
    | ~ spl0_56
    | ~ spl0_57
    | ~ spl0_112 ),
    inference(resolution,[],[f2281,f761]) ).

fof(f2281,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66) )
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f468,f464]) ).

fof(f2300,plain,
    ( ~ spl0_56
    | ~ spl0_57
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2299,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_57
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2284,f916]) ).

fof(f2284,plain,
    ( c0_1(a905)
    | ~ spl0_56
    | ~ spl0_57
    | ~ spl0_142 ),
    inference(resolution,[],[f2281,f921]) ).

fof(f2280,plain,
    ( ~ spl0_162
    | spl0_108
    | ~ spl0_48
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1891,f743,f425,f738,f1553]) ).

fof(f1891,plain,
    ( c0_1(a924)
    | ~ c3_1(a924)
    | ~ spl0_48
    | ~ spl0_109 ),
    inference(resolution,[],[f426,f745]) ).

fof(f2195,plain,
    ( spl0_160
    | ~ spl0_48
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2194,f546,f541,f425,f1429]) ).

fof(f2194,plain,
    ( c0_1(a900)
    | ~ spl0_48
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f2193,f543]) ).

fof(f2193,plain,
    ( c0_1(a900)
    | ~ c3_1(a900)
    | ~ spl0_48
    | ~ spl0_72 ),
    inference(resolution,[],[f548,f426]) ).

fof(f2192,plain,
    ( ~ spl0_72
    | spl0_160
    | ~ spl0_49
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2127,f551,f431,f1429,f546]) ).

fof(f551,plain,
    ( spl0_73
  <=> c1_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2127,plain,
    ( c0_1(a900)
    | ~ c2_1(a900)
    | ~ spl0_49
    | ~ spl0_73 ),
    inference(resolution,[],[f432,f553]) ).

fof(f553,plain,
    ( c1_1(a900)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f2188,plain,
    ( ~ spl0_55
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f2187]) ).

fof(f2187,plain,
    ( $false
    | ~ spl0_55
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f2186,f639]) ).

fof(f2186,plain,
    ( c3_1(a946)
    | ~ spl0_55
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f2179,f649]) ).

fof(f2179,plain,
    ( c0_1(a946)
    | c3_1(a946)
    | ~ spl0_55
    | spl0_90 ),
    inference(resolution,[],[f459,f644]) ).

fof(f2102,plain,
    ( ~ spl0_33
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f2101]) ).

fof(f2101,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f2100,f527]) ).

fof(f527,plain,
    ( c3_1(a916)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f525,plain,
    ( spl0_68
  <=> c3_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2100,plain,
    ( ~ c3_1(a916)
    | ~ spl0_33
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f2096,f537]) ).

fof(f537,plain,
    ( c0_1(a916)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl0_70
  <=> c0_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2096,plain,
    ( ~ c0_1(a916)
    | ~ c3_1(a916)
    | ~ spl0_33
    | ~ spl0_69 ),
    inference(resolution,[],[f354,f532]) ).

fof(f532,plain,
    ( c1_1(a916)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl0_69
  <=> c1_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2077,plain,
    ( ~ spl0_48
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f2076]) ).

fof(f2076,plain,
    ( $false
    | ~ spl0_48
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2075,f676]) ).

fof(f2075,plain,
    ( ~ c3_1(a938)
    | ~ spl0_48
    | spl0_95
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2073,f671]) ).

fof(f2073,plain,
    ( c0_1(a938)
    | ~ c3_1(a938)
    | ~ spl0_48
    | ~ spl0_97 ),
    inference(resolution,[],[f681,f426]) ).

fof(f681,plain,
    ( c2_1(a938)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_97
  <=> c2_1(a938) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2072,plain,
    ( spl0_157
    | ~ spl0_34
    | spl0_92
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2071,f663,f653,f358,f1078]) ).

fof(f2071,plain,
    ( c2_1(a939)
    | ~ spl0_34
    | spl0_92
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2067,f655]) ).

fof(f2067,plain,
    ( c2_1(a939)
    | c3_1(a939)
    | ~ spl0_34
    | ~ spl0_94 ),
    inference(resolution,[],[f665,f359]) ).

fof(f2055,plain,
    ( ~ spl0_51
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2054]) ).

fof(f2054,plain,
    ( $false
    | ~ spl0_51
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2053,f831]) ).

fof(f831,plain,
    ( ~ c3_1(a910)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_125
  <=> c3_1(a910) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2053,plain,
    ( c3_1(a910)
    | ~ spl0_51
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2038,f836]) ).

fof(f836,plain,
    ( ~ c1_1(a910)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_126
  <=> c1_1(a910) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2038,plain,
    ( c1_1(a910)
    | c3_1(a910)
    | ~ spl0_51
    | ~ spl0_127 ),
    inference(resolution,[],[f441,f841]) ).

fof(f841,plain,
    ( c2_1(a910)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_127
  <=> c2_1(a910) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2024,plain,
    ( ~ spl0_145
    | spl0_144
    | ~ spl0_44
    | spl0_143 ),
    inference(avatar_split_clause,[],[f2014,f925,f405,f930,f935]) ).

fof(f935,plain,
    ( spl0_145
  <=> c0_1(a904) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f930,plain,
    ( spl0_144
  <=> c1_1(a904) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f925,plain,
    ( spl0_143
  <=> c2_1(a904) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2014,plain,
    ( c1_1(a904)
    | ~ c0_1(a904)
    | ~ spl0_44
    | spl0_143 ),
    inference(resolution,[],[f406,f927]) ).

fof(f927,plain,
    ( ~ c2_1(a904)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f1988,plain,
    ( ~ spl0_34
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1987]) ).

fof(f1987,plain,
    ( $false
    | ~ spl0_34
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1986,f943]) ).

fof(f1986,plain,
    ( c3_1(a903)
    | ~ spl0_34
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1977,f948]) ).

fof(f948,plain,
    ( ~ c2_1(a903)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f946,plain,
    ( spl0_147
  <=> c2_1(a903) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1977,plain,
    ( c2_1(a903)
    | c3_1(a903)
    | ~ spl0_34
    | ~ spl0_148 ),
    inference(resolution,[],[f359,f953]) ).

fof(f1925,plain,
    ( ~ spl0_105
    | spl0_164
    | ~ spl0_49
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1910,f727,f431,f1620,f722]) ).

fof(f727,plain,
    ( spl0_106
  <=> c1_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1910,plain,
    ( c0_1(a926)
    | ~ c2_1(a926)
    | ~ spl0_49
    | ~ spl0_106 ),
    inference(resolution,[],[f432,f729]) ).

fof(f729,plain,
    ( c1_1(a926)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1924,plain,
    ( ~ spl0_49
    | spl0_122
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1923]) ).

fof(f1923,plain,
    ( $false
    | ~ spl0_49
    | spl0_122
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1922,f820]) ).

fof(f1922,plain,
    ( ~ c2_1(a912)
    | ~ spl0_49
    | spl0_122
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1908,f815]) ).

fof(f1908,plain,
    ( c0_1(a912)
    | ~ c2_1(a912)
    | ~ spl0_49
    | ~ spl0_124 ),
    inference(resolution,[],[f432,f825]) ).

fof(f825,plain,
    ( c1_1(a912)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f823,plain,
    ( spl0_124
  <=> c1_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1921,plain,
    ( ~ spl0_30
    | ~ spl0_49
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1920]) ).

fof(f1920,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_49
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1919,f1642]) ).

fof(f1642,plain,
    ( c2_1(a909)
    | ~ spl0_30
    | spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1629,f847]) ).

fof(f847,plain,
    ( ~ c3_1(a909)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_128
  <=> c3_1(a909) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1629,plain,
    ( c2_1(a909)
    | c3_1(a909)
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(resolution,[],[f341,f857]) ).

fof(f857,plain,
    ( c1_1(a909)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f855,plain,
    ( spl0_130
  <=> c1_1(a909) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1919,plain,
    ( ~ c2_1(a909)
    | ~ spl0_49
    | spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1907,f852]) ).

fof(f852,plain,
    ( ~ c0_1(a909)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_129
  <=> c0_1(a909) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1907,plain,
    ( c0_1(a909)
    | ~ c2_1(a909)
    | ~ spl0_49
    | ~ spl0_130 ),
    inference(resolution,[],[f432,f857]) ).

fof(f1822,plain,
    ( ~ spl0_17
    | ~ spl0_34
    | spl0_137
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1821]) ).

fof(f1821,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_34
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1820,f905]) ).

fof(f1820,plain,
    ( ~ c0_1(a906)
    | ~ spl0_17
    | ~ spl0_34
    | spl0_137 ),
    inference(resolution,[],[f895,f1780]) ).

fof(f1780,plain,
    ( ! [X3] :
        ( c3_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f286,f359]) ).

fof(f1664,plain,
    ( spl0_131
    | ~ spl0_30
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1639,f871,f866,f340,f861]) ).

fof(f861,plain,
    ( spl0_131
  <=> c3_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f866,plain,
    ( spl0_132
  <=> c2_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f871,plain,
    ( spl0_133
  <=> c1_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1639,plain,
    ( c3_1(a908)
    | ~ spl0_30
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1628,f868]) ).

fof(f868,plain,
    ( ~ c2_1(a908)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1628,plain,
    ( c2_1(a908)
    | c3_1(a908)
    | ~ spl0_30
    | ~ spl0_133 ),
    inference(resolution,[],[f341,f873]) ).

fof(f873,plain,
    ( c1_1(a908)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f1592,plain,
    ( spl0_116
    | ~ spl0_25
    | ~ spl0_117
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1591,f1254,f786,f318,f781]) ).

fof(f1591,plain,
    ( c2_1(a917)
    | ~ spl0_25
    | ~ spl0_117
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f1585,f788]) ).

fof(f1585,plain,
    ( c2_1(a917)
    | ~ c3_1(a917)
    | ~ spl0_25
    | ~ spl0_159 ),
    inference(resolution,[],[f319,f1255]) ).

fof(f1255,plain,
    ( c0_1(a917)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1590,plain,
    ( ~ spl0_25
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1589,plain,
    ( $false
    | ~ spl0_25
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1588,f804]) ).

fof(f1588,plain,
    ( ~ c3_1(a914)
    | ~ spl0_25
    | spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1584,f799]) ).

fof(f1584,plain,
    ( c2_1(a914)
    | ~ c3_1(a914)
    | ~ spl0_25
    | ~ spl0_121 ),
    inference(resolution,[],[f319,f809]) ).

fof(f1556,plain,
    ( spl0_162
    | spl0_108
    | ~ spl0_52
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1536,f743,f444,f738,f1553]) ).

fof(f444,plain,
    ( spl0_52
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | c3_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1536,plain,
    ( c0_1(a924)
    | c3_1(a924)
    | ~ spl0_52
    | ~ spl0_109 ),
    inference(resolution,[],[f745,f445]) ).

fof(f445,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | c3_1(X56) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1543,plain,
    ( ~ spl0_17
    | ~ spl0_52
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_52
    | spl0_125
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1539,f831]) ).

fof(f1539,plain,
    ( c3_1(a910)
    | ~ spl0_17
    | ~ spl0_52
    | ~ spl0_127 ),
    inference(resolution,[],[f1530,f841]) ).

fof(f1530,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3) )
    | ~ spl0_17
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f286,f445]) ).

fof(f1478,plain,
    ( ~ spl0_10
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_38
    | spl0_143
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1477,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_38
    | spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1476,f927]) ).

fof(f1476,plain,
    ( c2_1(a904)
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(resolution,[],[f937,f1349]) ).

fof(f1349,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c2_1(X20) )
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f359,f1249]) ).

fof(f1249,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f378,f1083]) ).

fof(f1083,plain,
    ( ! [X5] :
        ( ~ c3_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f306,f258]) ).

fof(f258,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f937,plain,
    ( c0_1(a904)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f1420,plain,
    ( ~ spl0_52
    | spl0_113
    | spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1419,plain,
    ( $false
    | ~ spl0_52
    | spl0_113
    | spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1418,f767]) ).

fof(f767,plain,
    ( ~ c3_1(a921)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl0_113
  <=> c3_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1418,plain,
    ( c3_1(a921)
    | ~ spl0_52
    | spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1397,f772]) ).

fof(f1397,plain,
    ( c0_1(a921)
    | c3_1(a921)
    | ~ spl0_52
    | ~ spl0_115 ),
    inference(resolution,[],[f445,f777]) ).

fof(f1414,plain,
    ( ~ spl0_52
    | spl0_122
    | ~ spl0_123
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | ~ spl0_52
    | spl0_122
    | ~ spl0_123
    | spl0_158 ),
    inference(subsumption_resolution,[],[f1412,f1094]) ).

fof(f1094,plain,
    ( ~ c3_1(a912)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f1412,plain,
    ( c3_1(a912)
    | ~ spl0_52
    | spl0_122
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1394,f815]) ).

fof(f1394,plain,
    ( c0_1(a912)
    | c3_1(a912)
    | ~ spl0_52
    | ~ spl0_123 ),
    inference(resolution,[],[f445,f820]) ).

fof(f1289,plain,
    ( ~ spl0_70
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_38
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1284,f525,f377,f305,f257,f535]) ).

fof(f1284,plain,
    ( ~ c0_1(a916)
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_38
    | ~ spl0_68 ),
    inference(resolution,[],[f1249,f527]) ).

fof(f1243,plain,
    ( ~ spl0_69
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1241,f525,f305,f257,f530]) ).

fof(f1241,plain,
    ( ~ c1_1(a916)
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(resolution,[],[f527,f1083]) ).

fof(f1095,plain,
    ( ~ spl0_158
    | ~ spl0_124
    | ~ spl0_10
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1090,f818,f257,f823,f1092]) ).

fof(f1090,plain,
    ( ~ c1_1(a912)
    | ~ c3_1(a912)
    | ~ spl0_10
    | ~ spl0_123 ),
    inference(resolution,[],[f820,f258]) ).

fof(f1019,plain,
    ( ~ spl0_73
    | ~ spl0_10
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1018,f546,f541,f257,f551]) ).

fof(f1018,plain,
    ( ~ c1_1(a900)
    | ~ spl0_10
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1017,f543]) ).

fof(f1017,plain,
    ( ~ c1_1(a900)
    | ~ c3_1(a900)
    | ~ spl0_10
    | ~ spl0_72 ),
    inference(resolution,[],[f548,f258]) ).

fof(f986,plain,
    ( ~ spl0_36
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f8,f983,f367]) ).

fof(f367,plain,
    ( spl0_36
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f8,plain,
    ( ~ c0_1(a901)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

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

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

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

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

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

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

fof(f981,plain,
    ( ~ spl0_36
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f9,f978,f367]) ).

fof(f9,plain,
    ( ~ c1_1(a901)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_36
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f10,f973,f367]) ).

fof(f10,plain,
    ( ~ c3_1(a901)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_53
    | spl0_148 ),
    inference(avatar_split_clause,[],[f16,f951,f447]) ).

fof(f447,plain,
    ( spl0_53
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f16,plain,
    ( c0_1(a903)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_53
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f17,f946,f447]) ).

fof(f17,plain,
    ( ~ c2_1(a903)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_53
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f18,f941,f447]) ).

fof(f18,plain,
    ( ~ c3_1(a903)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_50
    | spl0_145 ),
    inference(avatar_split_clause,[],[f20,f935,f435]) ).

fof(f435,plain,
    ( spl0_50
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f20,plain,
    ( c0_1(a904)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_50
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f21,f930,f435]) ).

fof(f21,plain,
    ( ~ c1_1(a904)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_50
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f22,f925,f435]) ).

fof(f22,plain,
    ( ~ c2_1(a904)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_6
    | spl0_142 ),
    inference(avatar_split_clause,[],[f24,f919,f239]) ).

fof(f239,plain,
    ( spl0_6
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f24,plain,
    ( c3_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_6
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f25,f914,f239]) ).

fof(f25,plain,
    ( ~ c0_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_6
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f26,f909,f239]) ).

fof(f26,plain,
    ( ~ c2_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_8
    | spl0_139 ),
    inference(avatar_split_clause,[],[f28,f903,f248]) ).

fof(f248,plain,
    ( spl0_8
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f28,plain,
    ( c0_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_8
    | spl0_138 ),
    inference(avatar_split_clause,[],[f29,f898,f248]) ).

fof(f29,plain,
    ( c2_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_8
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f30,f893,f248]) ).

fof(f30,plain,
    ( ~ c3_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_35
    | spl0_136 ),
    inference(avatar_split_clause,[],[f32,f887,f362]) ).

fof(f362,plain,
    ( spl0_35
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f32,plain,
    ( c0_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_35
    | spl0_135 ),
    inference(avatar_split_clause,[],[f33,f882,f362]) ).

fof(f33,plain,
    ( c1_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_35
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f34,f877,f362]) ).

fof(f34,plain,
    ( ~ c2_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_26
    | spl0_133 ),
    inference(avatar_split_clause,[],[f36,f871,f321]) ).

fof(f321,plain,
    ( spl0_26
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f36,plain,
    ( c1_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_26
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f37,f866,f321]) ).

fof(f37,plain,
    ( ~ c2_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_26
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f38,f861,f321]) ).

fof(f38,plain,
    ( ~ c3_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_16
    | spl0_130 ),
    inference(avatar_split_clause,[],[f40,f855,f280]) ).

fof(f280,plain,
    ( spl0_16
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f40,plain,
    ( c1_1(a909)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_16
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f41,f850,f280]) ).

fof(f41,plain,
    ( ~ c0_1(a909)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_16
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f42,f845,f280]) ).

fof(f42,plain,
    ( ~ c3_1(a909)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_31
    | spl0_127 ),
    inference(avatar_split_clause,[],[f44,f839,f343]) ).

fof(f343,plain,
    ( spl0_31
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f44,plain,
    ( c2_1(a910)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_31
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f45,f834,f343]) ).

fof(f45,plain,
    ( ~ c1_1(a910)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_31
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f46,f829,f343]) ).

fof(f46,plain,
    ( ~ c3_1(a910)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_23
    | spl0_124 ),
    inference(avatar_split_clause,[],[f48,f823,f308]) ).

fof(f308,plain,
    ( spl0_23
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f48,plain,
    ( c1_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_23
    | spl0_123 ),
    inference(avatar_split_clause,[],[f49,f818,f308]) ).

fof(f49,plain,
    ( c2_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_23
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f50,f813,f308]) ).

fof(f50,plain,
    ( ~ c0_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_11
    | spl0_121 ),
    inference(avatar_split_clause,[],[f52,f807,f260]) ).

fof(f260,plain,
    ( spl0_11
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f52,plain,
    ( c0_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_11
    | spl0_120 ),
    inference(avatar_split_clause,[],[f53,f802,f260]) ).

fof(f53,plain,
    ( c3_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f800,plain,
    ( ~ spl0_11
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f54,f797,f260]) ).

fof(f54,plain,
    ( ~ c2_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( ~ spl0_1
    | spl0_9 ),
    inference(avatar_split_clause,[],[f55,f253,f218]) ).

fof(f218,plain,
    ( spl0_1
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f253,plain,
    ( spl0_9
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f55,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_1
    | spl0_118 ),
    inference(avatar_split_clause,[],[f56,f791,f218]) ).

fof(f56,plain,
    ( c1_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_1
    | spl0_117 ),
    inference(avatar_split_clause,[],[f57,f786,f218]) ).

fof(f57,plain,
    ( c3_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f784,plain,
    ( ~ spl0_1
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f58,f781,f218]) ).

fof(f58,plain,
    ( ~ c2_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f59,f253,f222]) ).

fof(f222,plain,
    ( spl0_2
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f59,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_2
    | spl0_115 ),
    inference(avatar_split_clause,[],[f60,f775,f222]) ).

fof(f60,plain,
    ( c2_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_2
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f61,f770,f222]) ).

fof(f61,plain,
    ( ~ c0_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f768,plain,
    ( ~ spl0_2
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f62,f765,f222]) ).

fof(f62,plain,
    ( ~ c3_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_5
    | spl0_112 ),
    inference(avatar_split_clause,[],[f64,f759,f235]) ).

fof(f235,plain,
    ( spl0_5
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f64,plain,
    ( c3_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_5
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f65,f754,f235]) ).

fof(f65,plain,
    ( ~ c0_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f752,plain,
    ( ~ spl0_5
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f66,f749,f235]) ).

fof(f66,plain,
    ( ~ c1_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_14
    | spl0_109 ),
    inference(avatar_split_clause,[],[f68,f743,f272]) ).

fof(f272,plain,
    ( spl0_14
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f68,plain,
    ( c2_1(a924)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_14
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f69,f738,f272]) ).

fof(f69,plain,
    ( ~ c0_1(a924)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_14
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f70,f733,f272]) ).

fof(f70,plain,
    ( ~ c1_1(a924)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_32
    | spl0_106 ),
    inference(avatar_split_clause,[],[f72,f727,f348]) ).

fof(f348,plain,
    ( spl0_32
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f72,plain,
    ( c1_1(a926)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_32
    | spl0_105 ),
    inference(avatar_split_clause,[],[f73,f722,f348]) ).

fof(f73,plain,
    ( c2_1(a926)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_32
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f74,f717,f348]) ).

fof(f74,plain,
    ( ~ c3_1(a926)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_19
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f77,f706,f292]) ).

fof(f292,plain,
    ( spl0_19
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f77,plain,
    ( ~ c2_1(a936)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( ~ spl0_19
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f78,f701,f292]) ).

fof(f78,plain,
    ( ~ c3_1(a936)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_43
    | spl0_100 ),
    inference(avatar_split_clause,[],[f80,f695,f400]) ).

fof(f400,plain,
    ( spl0_43
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f80,plain,
    ( c1_1(a937)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f688,plain,
    ( ~ spl0_43
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f82,f685,f400]) ).

fof(f82,plain,
    ( ~ c2_1(a937)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_45
    | spl0_97 ),
    inference(avatar_split_clause,[],[f84,f679,f408]) ).

fof(f408,plain,
    ( spl0_45
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f84,plain,
    ( c2_1(a938)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_45
    | spl0_96 ),
    inference(avatar_split_clause,[],[f85,f674,f408]) ).

fof(f85,plain,
    ( c3_1(a938)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( ~ spl0_45
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f86,f669,f408]) ).

fof(f86,plain,
    ( ~ c0_1(a938)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_4
    | spl0_94 ),
    inference(avatar_split_clause,[],[f88,f663,f231]) ).

fof(f231,plain,
    ( spl0_4
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f88,plain,
    ( c0_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( ~ spl0_4
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f90,f653,f231]) ).

fof(f90,plain,
    ( ~ c3_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f91,f253,f226]) ).

fof(f226,plain,
    ( spl0_3
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f91,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_3
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f92,f647,f226]) ).

fof(f92,plain,
    ( ~ c0_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_3
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f93,f642,f226]) ).

fof(f93,plain,
    ( ~ c2_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f640,plain,
    ( ~ spl0_3
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f94,f637,f226]) ).

fof(f94,plain,
    ( ~ c3_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_13
    | spl0_84 ),
    inference(avatar_split_clause,[],[f101,f610,f268]) ).

fof(f268,plain,
    ( spl0_13
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f101,plain,
    ( c3_1(a954)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( ~ spl0_13
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f102,f605,f268]) ).

fof(f102,plain,
    ( ~ c0_1(a954)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_24
    | spl0_79 ),
    inference(avatar_split_clause,[],[f108,f583,f313]) ).

fof(f313,plain,
    ( spl0_24
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f108,plain,
    ( c0_1(a960)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_24
    | spl0_78 ),
    inference(avatar_split_clause,[],[f109,f578,f313]) ).

fof(f109,plain,
    ( c3_1(a960)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_24
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f110,f573,f313]) ).

fof(f110,plain,
    ( ~ c1_1(a960)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( ~ spl0_21
    | spl0_73 ),
    inference(avatar_split_clause,[],[f116,f551,f300]) ).

fof(f300,plain,
    ( spl0_21
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f116,plain,
    ( c1_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( ~ spl0_21
    | spl0_72 ),
    inference(avatar_split_clause,[],[f117,f546,f300]) ).

fof(f117,plain,
    ( c2_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f544,plain,
    ( ~ spl0_21
    | spl0_71 ),
    inference(avatar_split_clause,[],[f118,f541,f300]) ).

fof(f118,plain,
    ( c3_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( ~ spl0_39
    | spl0_70 ),
    inference(avatar_split_clause,[],[f120,f535,f380]) ).

fof(f380,plain,
    ( spl0_39
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f120,plain,
    ( c0_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f533,plain,
    ( ~ spl0_39
    | spl0_69 ),
    inference(avatar_split_clause,[],[f121,f530,f380]) ).

fof(f121,plain,
    ( c1_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( ~ spl0_39
    | spl0_68 ),
    inference(avatar_split_clause,[],[f122,f525,f380]) ).

fof(f122,plain,
    ( c3_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_60
    | spl0_61
    | ~ spl0_9
    | spl0_33 ),
    inference(avatar_split_clause,[],[f191,f353,f253,f489,f481]) ).

fof(f191,plain,
    ! [X88,X89,X87] :
      ( ~ c3_1(X87)
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | c2_1(X89)
      | c1_1(X89)
      | c0_1(X89) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ! [X88,X89,X87] :
      ( ~ c3_1(X87)
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | c1_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_60
    | spl0_52
    | ~ spl0_9
    | spl0_41 ),
    inference(avatar_split_clause,[],[f192,f392,f253,f444,f481]) ).

fof(f192,plain,
    ! [X86,X84,X85] :
      ( ~ c0_1(X84)
      | c3_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ c2_1(X85)
      | c3_1(X85)
      | c0_1(X85)
      | c2_1(X86)
      | c1_1(X86)
      | c0_1(X86) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X86,X84,X85] :
      ( ~ c0_1(X84)
      | c3_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ c2_1(X85)
      | c3_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c1_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_60
    | spl0_17
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f195,f277,f253,f285,f481]) ).

fof(f195,plain,
    ! [X78,X79,X77] :
      ( ~ c2_1(X77)
      | ~ c1_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | ~ c2_1(X78)
      | ~ c0_1(X78)
      | c3_1(X78)
      | c2_1(X79)
      | c1_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X78,X79,X77] :
      ( ~ c2_1(X77)
      | ~ c1_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | ~ c2_1(X78)
      | ~ c0_1(X78)
      | c3_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_59
    | spl0_55
    | ~ spl0_9
    | spl0_34 ),
    inference(avatar_split_clause,[],[f196,f358,f253,f458,f476]) ).

fof(f196,plain,
    ! [X73,X74,X75] :
      ( ~ c0_1(X73)
      | c3_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | c3_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | c3_1(X75)
      | c1_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X73,X74,X75] :
      ( ~ c0_1(X73)
      | c3_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | c3_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0
      | c3_1(X75)
      | c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_59
    | spl0_49
    | ~ spl0_9
    | spl0_34 ),
    inference(avatar_split_clause,[],[f197,f358,f253,f431,f476]) ).

fof(f197,plain,
    ! [X72,X70,X71] :
      ( ~ c0_1(X70)
      | c3_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71)
      | c3_1(X72)
      | c1_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X72,X70,X71] :
      ( ~ c0_1(X70)
      | c3_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c1_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( ~ spl0_9
    | spl0_58
    | spl0_50
    | spl0_6 ),
    inference(avatar_split_clause,[],[f139,f239,f435,f472,f253]) ).

fof(f139,plain,
    ! [X69] :
      ( hskp4
      | hskp3
      | ~ c2_1(X69)
      | c1_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_57
    | ~ spl0_9
    | spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f198,f248,f257,f253,f467]) ).

fof(f198,plain,
    ! [X68,X67] :
      ( hskp5
      | ~ c3_1(X67)
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c1_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X68,X67] :
      ( hskp5
      | ~ c3_1(X67)
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c1_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( ~ spl0_9
    | spl0_57
    | spl0_35
    | spl0_26 ),
    inference(avatar_split_clause,[],[f141,f321,f362,f467,f253]) ).

fof(f141,plain,
    ! [X66] :
      ( hskp7
      | hskp6
      | ~ c3_1(X66)
      | c1_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_55
    | ~ spl0_9
    | spl0_56
    | spl0_16 ),
    inference(avatar_split_clause,[],[f199,f280,f463,f253,f458]) ).

fof(f199,plain,
    ! [X65,X64] :
      ( hskp8
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | c2_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X65,X64] :
      ( hskp8
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_55
    | ~ spl0_9
    | spl0_44
    | spl0_31 ),
    inference(avatar_split_clause,[],[f200,f343,f405,f253,f458]) ).

fof(f200,plain,
    ! [X62,X63] :
      ( hskp9
      | ~ c0_1(X62)
      | c2_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | c3_1(X63)
      | c2_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X62,X63] :
      ( hskp9
      | ~ c0_1(X62)
      | c2_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | c3_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( ~ spl0_9
    | spl0_55
    | spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f144,f308,f300,f458,f253]) ).

fof(f144,plain,
    ! [X61] :
      ( hskp10
      | hskp27
      | c3_1(X61)
      | c2_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_52
    | ~ spl0_9
    | spl0_48
    | spl0_8 ),
    inference(avatar_split_clause,[],[f201,f248,f425,f253,f444]) ).

fof(f201,plain,
    ! [X58,X59] :
      ( hskp5
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c0_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X58,X59] :
      ( hskp5
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c0_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( ~ spl0_9
    | spl0_52
    | spl0_39
    | spl0_1 ),
    inference(avatar_split_clause,[],[f147,f218,f380,f444,f253]) ).

fof(f147,plain,
    ! [X57] :
      ( hskp12
      | hskp28
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_9
    | spl0_52
    | spl0_53
    | spl0_36 ),
    inference(avatar_split_clause,[],[f148,f367,f447,f444,f253]) ).

fof(f148,plain,
    ! [X56] :
      ( hskp0
      | hskp2
      | ~ c2_1(X56)
      | c3_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f442,plain,
    ( spl0_49
    | spl0_51
    | ~ spl0_9
    | spl0_22 ),
    inference(avatar_split_clause,[],[f202,f305,f253,f440,f431]) ).

fof(f202,plain,
    ! [X54,X55,X53] :
      ( ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c3_1(X54)
      | c1_1(X54)
      | ~ c2_1(X55)
      | ~ c1_1(X55)
      | c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X54,X55,X53] :
      ( ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c3_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | ~ c1_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( ~ spl0_9
    | spl0_49
    | spl0_50
    | spl0_2 ),
    inference(avatar_split_clause,[],[f150,f222,f435,f431,f253]) ).

fof(f150,plain,
    ! [X52] :
      ( hskp13
      | hskp3
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( ~ spl0_9
    | spl0_49
    | spl0_26
    | spl0_5 ),
    inference(avatar_split_clause,[],[f151,f235,f321,f431,f253]) ).

fof(f151,plain,
    ! [X51] :
      ( hskp14
      | hskp7
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f429,plain,
    ( spl0_48
    | ~ spl0_9
    | spl0_10
    | spl0_14 ),
    inference(avatar_split_clause,[],[f203,f272,f257,f253,f425]) ).

fof(f203,plain,
    ! [X50,X49] :
      ( hskp15
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X50,X49] :
      ( hskp15
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( ~ spl0_9
    | spl0_48
    | spl0_26
    | spl0_2 ),
    inference(avatar_split_clause,[],[f154,f222,f321,f425,f253]) ).

fof(f154,plain,
    ! [X47] :
      ( hskp13
      | hskp7
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( spl0_44
    | ~ spl0_9
    | spl0_33
    | spl0_14 ),
    inference(avatar_split_clause,[],[f205,f272,f353,f253,f405]) ).

fof(f205,plain,
    ! [X41,X42] :
      ( hskp15
      | ~ c3_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X41,X42] :
      ( hskp15
      | ~ c3_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( ~ spl0_9
    | spl0_44
    | spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f159,f292,f218,f405,f253]) ).

fof(f159,plain,
    ! [X40] :
      ( hskp17
      | hskp12
      | ~ c0_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f411,plain,
    ( ~ spl0_9
    | spl0_44
    | spl0_43
    | spl0_45 ),
    inference(avatar_split_clause,[],[f160,f408,f400,f405,f253]) ).

fof(f160,plain,
    ! [X39] :
      ( hskp19
      | hskp18
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_38
    | ~ spl0_9
    | spl0_30
    | spl0_3 ),
    inference(avatar_split_clause,[],[f209,f226,f340,f253,f377]) ).

fof(f209,plain,
    ! [X29,X30] :
      ( hskp21
      | ~ c1_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ c3_1(X30)
      | ~ c0_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X29,X30] :
      ( hskp21
      | ~ c1_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ c3_1(X30)
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( ~ spl0_9
    | spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f168,f380,f377,f253]) ).

fof(f168,plain,
    ! [X26] :
      ( hskp28
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( spl0_34
    | ~ spl0_9
    | spl0_20
    | spl0_36 ),
    inference(avatar_split_clause,[],[f212,f367,f297,f253,f358]) ).

fof(f212,plain,
    ! [X22,X23] :
      ( hskp0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X23)
      | c3_1(X23)
      | c2_1(X23) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X22,X23] :
      ( hskp0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X23)
      | c3_1(X23)
      | c2_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_9
    | spl0_34
    | spl0_35
    | spl0_5 ),
    inference(avatar_split_clause,[],[f171,f235,f362,f358,f253]) ).

fof(f171,plain,
    ! [X21] :
      ( hskp14
      | hskp6
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f356,plain,
    ( spl0_30
    | ~ spl0_9
    | spl0_22 ),
    inference(avatar_split_clause,[],[f213,f305,f253,f340]) ).

fof(f213,plain,
    ! [X18,X19] :
      ( ~ c3_1(X18)
      | ~ c1_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | c3_1(X19)
      | c2_1(X19) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X18,X19] :
      ( ~ c3_1(X18)
      | ~ c1_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | c3_1(X19)
      | c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( spl0_30
    | spl0_17
    | ~ spl0_9
    | spl0_33 ),
    inference(avatar_split_clause,[],[f214,f353,f253,f285,f340]) ).

fof(f214,plain,
    ! [X16,X17,X15] :
      ( ~ c3_1(X15)
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | ~ c2_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X16,X17,X15] :
      ( ~ c3_1(X15)
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | ~ c2_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f351,plain,
    ( spl0_30
    | ~ spl0_9
    | spl0_10
    | spl0_32 ),
    inference(avatar_split_clause,[],[f215,f348,f257,f253,f340]) ).

fof(f215,plain,
    ! [X14,X13] :
      ( hskp16
      | ~ c3_1(X13)
      | ~ c2_1(X13)
      | ~ c1_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | c3_1(X14)
      | c2_1(X14) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X14,X13] :
      ( hskp16
      | ~ c3_1(X13)
      | ~ c2_1(X13)
      | ~ c1_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f330,plain,
    ( spl0_25
    | ~ spl0_9
    | spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f216,f313,f297,f253,f318]) ).

fof(f216,plain,
    ! [X10,X9] :
      ( hskp25
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X10,X9] :
      ( hskp25
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f324,plain,
    ( ~ spl0_9
    | spl0_25
    | spl0_8
    | spl0_26 ),
    inference(avatar_split_clause,[],[f180,f321,f248,f318,f253]) ).

fof(f180,plain,
    ! [X7] :
      ( hskp7
      | hskp5
      | ~ c3_1(X7)
      | ~ c0_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f316,plain,
    ( ~ spl0_9
    | spl0_22
    | spl0_24
    | spl0_3 ),
    inference(avatar_split_clause,[],[f181,f226,f313,f305,f253]) ).

fof(f181,plain,
    ! [X6] :
      ( hskp21
      | hskp25
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f311,plain,
    ( ~ spl0_9
    | spl0_22
    | spl0_23
    | spl0_3 ),
    inference(avatar_split_clause,[],[f182,f226,f308,f305,f253]) ).

fof(f182,plain,
    ! [X5] :
      ( hskp21
      | hskp10
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f275,plain,
    ( ~ spl0_9
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f186,f272,f268,f265,f253]) ).

fof(f186,plain,
    ! [X1] :
      ( hskp15
      | hskp23
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f263,plain,
    ( ~ spl0_9
    | spl0_10
    | spl0_11
    | spl0_1 ),
    inference(avatar_split_clause,[],[f187,f218,f260,f257,f253]) ).

fof(f187,plain,
    ! [X0] :
      ( hskp12
      | hskp11
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f242,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f189,f239,f235,f231]) ).

fof(f189,plain,
    ( hskp4
    | hskp14
    | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f229,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f190,f226,f222,f218]) ).

fof(f190,plain,
    ( hskp21
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN455+1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 17:26:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (3760)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (3761)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (3763)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)
% 0.15/0.38  % (3762)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (3765)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (3764)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (3767)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (3768)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)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [31]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [31]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [31]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [31]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  % (3767)First to succeed.
% 0.21/0.43  % (3767)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3760"
% 0.21/0.44  % (3767)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (3767)------------------------------
% 0.21/0.44  % (3767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44  % (3767)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (3767)Memory used [KB]: 1995
% 0.21/0.44  % (3767)Time elapsed: 0.059 s
% 0.21/0.44  % (3767)Instructions burned: 99 (million)
% 0.21/0.44  % (3760)Success in time 0.071 s
%------------------------------------------------------------------------------