TSTP Solution File: SYN452+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN452+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 : n017.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 12:10:27 EDT 2024

% Result   : Theorem 0.14s 0.58s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  150
% Syntax   : Number of formulae    :  887 (   1 unt;   0 def)
%            Number of atoms       : 6776 (   0 equ)
%            Maximal formula atoms :  603 (   7 avg)
%            Number of connectives : 9030 (3141   ~;4298   |;1074   &)
%                                         ( 149 <=>; 368  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   96 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  185 ( 184 usr; 181 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  776 ( 776   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3945,plain,
    $false,
    inference(avatar_sat_refutation,[],[f240,f249,f280,f289,f310,f321,f333,f335,f343,f355,f356,f360,f364,f372,f373,f377,f382,f386,f390,f391,f392,f396,f401,f402,f406,f411,f415,f419,f427,f435,f453,f459,f467,f468,f469,f474,f475,f480,f489,f493,f495,f500,f505,f510,f532,f537,f542,f564,f569,f574,f580,f585,f590,f596,f601,f606,f612,f617,f622,f628,f633,f638,f644,f649,f654,f660,f665,f692,f697,f702,f708,f713,f718,f724,f729,f740,f745,f750,f756,f761,f766,f767,f772,f777,f782,f788,f793,f798,f820,f825,f830,f836,f841,f846,f852,f857,f862,f863,f868,f873,f878,f884,f889,f894,f895,f900,f905,f910,f916,f921,f926,f932,f937,f942,f948,f953,f958,f964,f969,f974,f980,f995,f1008,f1024,f1041,f1048,f1079,f1103,f1118,f1122,f1144,f1195,f1221,f1241,f1249,f1260,f1271,f1302,f1436,f1476,f1596,f1622,f1647,f1702,f1820,f1835,f1873,f1975,f1999,f2032,f2070,f2075,f2080,f2166,f2182,f2255,f2326,f2328,f2338,f2340,f2369,f2401,f2422,f2429,f2432,f2444,f2511,f2542,f2608,f2626,f2660,f2681,f2744,f2760,f2785,f2827,f2851,f2852,f2862,f2873,f2889,f2891,f2896,f2899,f2913,f2965,f2972,f3060,f3065,f3080,f3111,f3214,f3239,f3265,f3299,f3303,f3304,f3333,f3336,f3445,f3483,f3499,f3502,f3549,f3557,f3564,f3620,f3708,f3713,f3728,f3749,f3750,f3808,f3810,f3815,f3884,f3897,f3906,f3921,f3923,f3926,f3941]) ).

fof(f3941,plain,
    ( spl0_175
    | ~ spl0_40
    | ~ spl0_62
    | spl0_127 ),
    inference(avatar_split_clause,[],[f3936,f838,f491,f388,f2545]) ).

fof(f2545,plain,
    ( spl0_175
  <=> c1_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f388,plain,
    ( spl0_40
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | c2_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f491,plain,
    ( spl0_62
  <=> ! [X87] :
        ( c2_1(X87)
        | c0_1(X87)
        | c1_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f838,plain,
    ( spl0_127
  <=> c2_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3936,plain,
    ( c1_1(a830)
    | ~ spl0_40
    | ~ spl0_62
    | spl0_127 ),
    inference(resolution,[],[f3930,f840]) ).

fof(f840,plain,
    ( ~ c2_1(a830)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f3930,plain,
    ( ! [X87] :
        ( c2_1(X87)
        | c1_1(X87) )
    | ~ spl0_40
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f492,f389]) ).

fof(f389,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | c2_1(X25) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f492,plain,
    ( ! [X87] :
        ( c2_1(X87)
        | c0_1(X87)
        | c1_1(X87) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f3926,plain,
    ( ~ spl0_31
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f3925]) ).

fof(f3925,plain,
    ( $false
    | ~ spl0_31
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f3924,f691]) ).

fof(f691,plain,
    ( ~ c3_1(a852)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl0_99
  <=> c3_1(a852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3924,plain,
    ( c3_1(a852)
    | ~ spl0_31
    | spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f3913,f701]) ).

fof(f701,plain,
    ( c1_1(a852)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f699,plain,
    ( spl0_101
  <=> c1_1(a852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f3913,plain,
    ( ~ c1_1(a852)
    | c3_1(a852)
    | ~ spl0_31
    | spl0_100 ),
    inference(resolution,[],[f350,f696]) ).

fof(f696,plain,
    ( ~ c2_1(a852)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f694,plain,
    ( spl0_100
  <=> c2_1(a852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f350,plain,
    ( ! [X9] :
        ( c2_1(X9)
        | ~ c1_1(X9)
        | c3_1(X9) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl0_31
  <=> ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | c3_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f3923,plain,
    ( spl0_162
    | ~ spl0_31
    | spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3922,f742,f737,f349,f1426]) ).

fof(f1426,plain,
    ( spl0_162
  <=> c3_1(a842) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f737,plain,
    ( spl0_108
  <=> c2_1(a842) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f742,plain,
    ( spl0_109
  <=> c1_1(a842) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3922,plain,
    ( c3_1(a842)
    | ~ spl0_31
    | spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f3912,f744]) ).

fof(f744,plain,
    ( c1_1(a842)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f3912,plain,
    ( ~ c1_1(a842)
    | c3_1(a842)
    | ~ spl0_31
    | spl0_108 ),
    inference(resolution,[],[f350,f739]) ).

fof(f739,plain,
    ( ~ c2_1(a842)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f3921,plain,
    ( ~ spl0_175
    | ~ spl0_31
    | spl0_126
    | spl0_127 ),
    inference(avatar_split_clause,[],[f3920,f838,f833,f349,f2545]) ).

fof(f833,plain,
    ( spl0_126
  <=> c3_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f3920,plain,
    ( ~ c1_1(a830)
    | ~ spl0_31
    | spl0_126
    | spl0_127 ),
    inference(subsumption_resolution,[],[f3909,f835]) ).

fof(f835,plain,
    ( ~ c3_1(a830)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f3909,plain,
    ( ~ c1_1(a830)
    | c3_1(a830)
    | ~ spl0_31
    | spl0_127 ),
    inference(resolution,[],[f350,f840]) ).

fof(f3906,plain,
    ( spl0_165
    | ~ spl0_40
    | spl0_147
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f3905,f955,f945,f388,f1450]) ).

fof(f1450,plain,
    ( spl0_165
  <=> c1_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f945,plain,
    ( spl0_147
  <=> c2_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f955,plain,
    ( spl0_149
  <=> c0_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3905,plain,
    ( c1_1(a816)
    | ~ spl0_40
    | spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3902,f947]) ).

fof(f947,plain,
    ( ~ c2_1(a816)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f3902,plain,
    ( c1_1(a816)
    | c2_1(a816)
    | ~ spl0_40
    | ~ spl0_149 ),
    inference(resolution,[],[f957,f389]) ).

fof(f957,plain,
    ( c0_1(a816)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f3897,plain,
    ( spl0_155
    | ~ spl0_35
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f3896,f539,f529,f366,f1082]) ).

fof(f1082,plain,
    ( spl0_155
  <=> c1_1(a826) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f366,plain,
    ( spl0_35
  <=> ! [X15] :
        ( ~ c3_1(X15)
        | c1_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f529,plain,
    ( spl0_69
  <=> c3_1(a826) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f539,plain,
    ( spl0_71
  <=> c0_1(a826) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3896,plain,
    ( c1_1(a826)
    | ~ spl0_35
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f3894,f531]) ).

fof(f531,plain,
    ( c3_1(a826)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f3894,plain,
    ( c1_1(a826)
    | ~ c3_1(a826)
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(resolution,[],[f541,f367]) ).

fof(f367,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c1_1(X15)
        | ~ c3_1(X15) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f541,plain,
    ( c0_1(a826)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f3884,plain,
    ( spl0_157
    | ~ spl0_44
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3883,f763,f758,f408,f1257]) ).

fof(f1257,plain,
    ( spl0_157
  <=> c0_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f408,plain,
    ( spl0_44
  <=> ! [X40] :
        ( ~ c3_1(X40)
        | c0_1(X40)
        | ~ c1_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f758,plain,
    ( spl0_112
  <=> c3_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f763,plain,
    ( spl0_113
  <=> c1_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3883,plain,
    ( c0_1(a839)
    | ~ spl0_44
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3872,f765]) ).

fof(f765,plain,
    ( c1_1(a839)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f3872,plain,
    ( c0_1(a839)
    | ~ c1_1(a839)
    | ~ spl0_44
    | ~ spl0_112 ),
    inference(resolution,[],[f409,f760]) ).

fof(f760,plain,
    ( c3_1(a839)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f409,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | c0_1(X40)
        | ~ c1_1(X40) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f3815,plain,
    ( ~ spl0_82
    | ~ spl0_28
    | ~ spl0_83
    | spl0_161 ),
    inference(avatar_split_clause,[],[f3814,f1402,f603,f337,f598]) ).

fof(f598,plain,
    ( spl0_82
  <=> c3_1(a862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f337,plain,
    ( spl0_28
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f603,plain,
    ( spl0_83
  <=> c0_1(a862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1402,plain,
    ( spl0_161
  <=> c2_1(a862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3814,plain,
    ( ~ c3_1(a862)
    | ~ spl0_28
    | ~ spl0_83
    | spl0_161 ),
    inference(subsumption_resolution,[],[f3801,f605]) ).

fof(f605,plain,
    ( c0_1(a862)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f3801,plain,
    ( ~ c3_1(a862)
    | ~ c0_1(a862)
    | ~ spl0_28
    | spl0_161 ),
    inference(resolution,[],[f338,f1403]) ).

fof(f1403,plain,
    ( ~ c2_1(a862)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1402]) ).

fof(f338,plain,
    ( ! [X7] :
        ( c2_1(X7)
        | ~ c3_1(X7)
        | ~ c0_1(X7) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f3810,plain,
    ( ~ spl0_162
    | ~ spl0_28
    | spl0_108
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3809,f747,f737,f337,f1426]) ).

fof(f747,plain,
    ( spl0_110
  <=> c0_1(a842) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3809,plain,
    ( ~ c3_1(a842)
    | ~ spl0_28
    | spl0_108
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f3796,f749]) ).

fof(f749,plain,
    ( c0_1(a842)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f3796,plain,
    ( ~ c3_1(a842)
    | ~ c0_1(a842)
    | ~ spl0_28
    | spl0_108 ),
    inference(resolution,[],[f338,f739]) ).

fof(f3808,plain,
    ( ~ spl0_157
    | ~ spl0_28
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3807,f758,f753,f337,f1257]) ).

fof(f753,plain,
    ( spl0_111
  <=> c2_1(a839) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3807,plain,
    ( ~ c0_1(a839)
    | ~ spl0_28
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f3795,f760]) ).

fof(f3795,plain,
    ( ~ c3_1(a839)
    | ~ c0_1(a839)
    | ~ spl0_28
    | spl0_111 ),
    inference(resolution,[],[f338,f755]) ).

fof(f755,plain,
    ( ~ c2_1(a839)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f3750,plain,
    ( spl0_162
    | ~ spl0_31
    | ~ spl0_41
    | spl0_108 ),
    inference(avatar_split_clause,[],[f3741,f737,f394,f349,f1426]) ).

fof(f394,plain,
    ( spl0_41
  <=> ! [X31] :
        ( c3_1(X31)
        | c1_1(X31)
        | c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f3741,plain,
    ( c3_1(a842)
    | ~ spl0_31
    | ~ spl0_41
    | spl0_108 ),
    inference(resolution,[],[f3709,f739]) ).

fof(f3709,plain,
    ( ! [X9] :
        ( c2_1(X9)
        | c3_1(X9) )
    | ~ spl0_31
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f350,f395]) ).

fof(f395,plain,
    ( ! [X31] :
        ( c2_1(X31)
        | c1_1(X31)
        | c3_1(X31) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f3749,plain,
    ( ~ spl0_31
    | ~ spl0_41
    | spl0_126
    | spl0_127 ),
    inference(avatar_contradiction_clause,[],[f3748]) ).

fof(f3748,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_41
    | spl0_126
    | spl0_127 ),
    inference(subsumption_resolution,[],[f3737,f835]) ).

fof(f3737,plain,
    ( c3_1(a830)
    | ~ spl0_31
    | ~ spl0_41
    | spl0_127 ),
    inference(resolution,[],[f3709,f840]) ).

fof(f3728,plain,
    ( spl0_175
    | ~ spl0_41
    | spl0_126
    | spl0_127 ),
    inference(avatar_split_clause,[],[f3727,f838,f833,f394,f2545]) ).

fof(f3727,plain,
    ( c1_1(a830)
    | ~ spl0_41
    | spl0_126
    | spl0_127 ),
    inference(subsumption_resolution,[],[f3726,f835]) ).

fof(f3726,plain,
    ( c1_1(a830)
    | c3_1(a830)
    | ~ spl0_41
    | spl0_127 ),
    inference(resolution,[],[f840,f395]) ).

fof(f3713,plain,
    ( spl0_155
    | ~ spl0_34
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f3712,f534,f529,f362,f1082]) ).

fof(f362,plain,
    ( spl0_34
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | c1_1(X14)
        | ~ c2_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f534,plain,
    ( spl0_70
  <=> c2_1(a826) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3712,plain,
    ( c1_1(a826)
    | ~ spl0_34
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f3711,f531]) ).

fof(f3711,plain,
    ( c1_1(a826)
    | ~ c3_1(a826)
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(resolution,[],[f536,f363]) ).

fof(f363,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | c1_1(X14)
        | ~ c3_1(X14) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f536,plain,
    ( c2_1(a826)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f3708,plain,
    ( spl0_87
    | spl0_166
    | ~ spl0_41
    | spl0_88 ),
    inference(avatar_split_clause,[],[f3682,f630,f394,f1486,f625]) ).

fof(f625,plain,
    ( spl0_87
  <=> c3_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1486,plain,
    ( spl0_166
  <=> c1_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f630,plain,
    ( spl0_88
  <=> c2_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3682,plain,
    ( c1_1(a857)
    | c3_1(a857)
    | ~ spl0_41
    | spl0_88 ),
    inference(resolution,[],[f395,f632]) ).

fof(f632,plain,
    ( ~ c2_1(a857)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f3620,plain,
    ( spl0_166
    | ~ spl0_40
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f3619,f635,f630,f388,f1486]) ).

fof(f635,plain,
    ( spl0_89
  <=> c0_1(a857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3619,plain,
    ( c1_1(a857)
    | ~ spl0_40
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f3618,f632]) ).

fof(f3618,plain,
    ( c1_1(a857)
    | c2_1(a857)
    | ~ spl0_40
    | ~ spl0_89 ),
    inference(resolution,[],[f637,f389]) ).

fof(f637,plain,
    ( c0_1(a857)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f3564,plain,
    ( ~ spl0_176
    | ~ spl0_34
    | spl0_138
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3563,f907,f897,f362,f2740]) ).

fof(f2740,plain,
    ( spl0_176
  <=> c3_1(a821) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f897,plain,
    ( spl0_138
  <=> c1_1(a821) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f907,plain,
    ( spl0_140
  <=> c2_1(a821) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3563,plain,
    ( ~ c3_1(a821)
    | ~ spl0_34
    | spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3524,f899]) ).

fof(f899,plain,
    ( ~ c1_1(a821)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f3524,plain,
    ( c1_1(a821)
    | ~ c3_1(a821)
    | ~ spl0_34
    | ~ spl0_140 ),
    inference(resolution,[],[f363,f909]) ).

fof(f909,plain,
    ( c2_1(a821)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f3557,plain,
    ( ~ spl0_82
    | spl0_81
    | ~ spl0_34
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f3532,f1402,f362,f593,f598]) ).

fof(f593,plain,
    ( spl0_81
  <=> c1_1(a862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f3532,plain,
    ( c1_1(a862)
    | ~ c3_1(a862)
    | ~ spl0_34
    | ~ spl0_161 ),
    inference(resolution,[],[f363,f1404]) ).

fof(f1404,plain,
    ( c2_1(a862)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1402]) ).

fof(f3549,plain,
    ( ~ spl0_44
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3548]) ).

fof(f3548,plain,
    ( $false
    | ~ spl0_44
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3547,f893]) ).

fof(f893,plain,
    ( c1_1(a825)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f891,plain,
    ( spl0_137
  <=> c1_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3547,plain,
    ( ~ c1_1(a825)
    | ~ spl0_44
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3538,f883]) ).

fof(f883,plain,
    ( ~ c0_1(a825)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f881,plain,
    ( spl0_135
  <=> c0_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3538,plain,
    ( c0_1(a825)
    | ~ c1_1(a825)
    | ~ spl0_44
    | ~ spl0_136 ),
    inference(resolution,[],[f409,f888]) ).

fof(f888,plain,
    ( c3_1(a825)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_136
  <=> c3_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3502,plain,
    ( ~ spl0_45
    | ~ spl0_109
    | ~ spl0_110
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3501]) ).

fof(f3501,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_109
    | ~ spl0_110
    | spl0_162 ),
    inference(subsumption_resolution,[],[f3500,f749]) ).

fof(f3500,plain,
    ( ~ c0_1(a842)
    | ~ spl0_45
    | ~ spl0_109
    | spl0_162 ),
    inference(subsumption_resolution,[],[f3492,f1427]) ).

fof(f1427,plain,
    ( ~ c3_1(a842)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f3492,plain,
    ( c3_1(a842)
    | ~ c0_1(a842)
    | ~ spl0_45
    | ~ spl0_109 ),
    inference(resolution,[],[f414,f744]) ).

fof(f414,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | c3_1(X42)
        | ~ c0_1(X42) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl0_45
  <=> ! [X42] :
        ( ~ c1_1(X42)
        | c3_1(X42)
        | ~ c0_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f3499,plain,
    ( ~ spl0_45
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3498]) ).

fof(f3498,plain,
    ( $false
    | ~ spl0_45
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3497,f973]) ).

fof(f973,plain,
    ( c0_1(a815)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f971,plain,
    ( spl0_152
  <=> c0_1(a815) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3497,plain,
    ( ~ c0_1(a815)
    | ~ spl0_45
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3485,f963]) ).

fof(f963,plain,
    ( ~ c3_1(a815)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl0_150
  <=> c3_1(a815) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f3485,plain,
    ( c3_1(a815)
    | ~ c0_1(a815)
    | ~ spl0_45
    | ~ spl0_151 ),
    inference(resolution,[],[f414,f968]) ).

fof(f968,plain,
    ( c1_1(a815)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f966,plain,
    ( spl0_151
  <=> c1_1(a815) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3483,plain,
    ( ~ spl0_43
    | spl0_124
    | ~ spl0_125
    | ~ spl0_178 ),
    inference(avatar_contradiction_clause,[],[f3482]) ).

fof(f3482,plain,
    ( $false
    | ~ spl0_43
    | spl0_124
    | ~ spl0_125
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3481,f829]) ).

fof(f829,plain,
    ( c3_1(a831)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f827,plain,
    ( spl0_125
  <=> c3_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3481,plain,
    ( ~ c3_1(a831)
    | ~ spl0_43
    | spl0_124
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3469,f824]) ).

fof(f824,plain,
    ( ~ c0_1(a831)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f822,plain,
    ( spl0_124
  <=> c0_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3469,plain,
    ( c0_1(a831)
    | ~ c3_1(a831)
    | ~ spl0_43
    | ~ spl0_178 ),
    inference(resolution,[],[f405,f3064]) ).

fof(f3064,plain,
    ( c2_1(a831)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f3062]) ).

fof(f3062,plain,
    ( spl0_178
  <=> c2_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f405,plain,
    ( ! [X39] :
        ( ~ c2_1(X39)
        | c0_1(X39)
        | ~ c3_1(X39) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl0_43
  <=> ! [X39] :
        ( ~ c3_1(X39)
        | c0_1(X39)
        | ~ c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f3445,plain,
    ( ~ spl0_25
    | ~ spl0_31
    | spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3444]) ).

fof(f3444,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_31
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3438,f963]) ).

fof(f3438,plain,
    ( c3_1(a815)
    | ~ spl0_25
    | ~ spl0_31
    | ~ spl0_151 ),
    inference(resolution,[],[f968,f3140]) ).

fof(f3140,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c3_1(X9) )
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f350,f324]) ).

fof(f324,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f323,plain,
    ( spl0_25
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f3336,plain,
    ( ~ spl0_59
    | spl0_102
    | ~ spl0_104
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3335]) ).

fof(f3335,plain,
    ( $false
    | ~ spl0_59
    | spl0_102
    | ~ spl0_104
    | spl0_174 ),
    inference(subsumption_resolution,[],[f3334,f707]) ).

fof(f707,plain,
    ( ~ c1_1(a848)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl0_102
  <=> c1_1(a848) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3334,plain,
    ( c1_1(a848)
    | ~ spl0_59
    | ~ spl0_104
    | spl0_174 ),
    inference(subsumption_resolution,[],[f3322,f2394]) ).

fof(f2394,plain,
    ( ~ c0_1(a848)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f2392]) ).

fof(f2392,plain,
    ( spl0_174
  <=> c0_1(a848) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f3322,plain,
    ( c0_1(a848)
    | c1_1(a848)
    | ~ spl0_59
    | ~ spl0_104 ),
    inference(resolution,[],[f478,f717]) ).

fof(f717,plain,
    ( c2_1(a848)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f715,plain,
    ( spl0_104
  <=> c2_1(a848) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f478,plain,
    ( ! [X79] :
        ( ~ c2_1(X79)
        | c0_1(X79)
        | c1_1(X79) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl0_59
  <=> ! [X79] :
        ( ~ c2_1(X79)
        | c0_1(X79)
        | c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3333,plain,
    ( ~ spl0_59
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f3332]) ).

fof(f3332,plain,
    ( $false
    | ~ spl0_59
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3331,f899]) ).

fof(f3331,plain,
    ( c1_1(a821)
    | ~ spl0_59
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3313,f904]) ).

fof(f904,plain,
    ( ~ c0_1(a821)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f902,plain,
    ( spl0_139
  <=> c0_1(a821) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3313,plain,
    ( c0_1(a821)
    | c1_1(a821)
    | ~ spl0_59
    | ~ spl0_140 ),
    inference(resolution,[],[f478,f909]) ).

fof(f3304,plain,
    ( spl0_123
    | ~ spl0_35
    | ~ spl0_58
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f3287,f827,f472,f366,f817]) ).

fof(f817,plain,
    ( spl0_123
  <=> c1_1(a831) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f472,plain,
    ( spl0_58
  <=> ! [X76] :
        ( ~ c3_1(X76)
        | c0_1(X76)
        | c1_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3287,plain,
    ( c1_1(a831)
    | ~ spl0_35
    | ~ spl0_58
    | ~ spl0_125 ),
    inference(resolution,[],[f3280,f829]) ).

fof(f3280,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c1_1(X76) )
    | ~ spl0_35
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f473,f367]) ).

fof(f473,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c0_1(X76)
        | c1_1(X76) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f3303,plain,
    ( ~ spl0_35
    | ~ spl0_58
    | spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f3302]) ).

fof(f3302,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_58
    | spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f3291,f707]) ).

fof(f3291,plain,
    ( c1_1(a848)
    | ~ spl0_35
    | ~ spl0_58
    | ~ spl0_103 ),
    inference(resolution,[],[f3280,f712]) ).

fof(f712,plain,
    ( c3_1(a848)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl0_103
  <=> c3_1(a848) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3299,plain,
    ( ~ spl0_35
    | ~ spl0_58
    | spl0_138
    | ~ spl0_176 ),
    inference(avatar_contradiction_clause,[],[f3298]) ).

fof(f3298,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_58
    | spl0_138
    | ~ spl0_176 ),
    inference(subsumption_resolution,[],[f3284,f899]) ).

fof(f3284,plain,
    ( c1_1(a821)
    | ~ spl0_35
    | ~ spl0_58
    | ~ spl0_176 ),
    inference(resolution,[],[f3280,f2741]) ).

fof(f2741,plain,
    ( c3_1(a821)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f2740]) ).

fof(f3265,plain,
    ( ~ spl0_47
    | ~ spl0_56
    | spl0_126
    | spl0_128 ),
    inference(avatar_contradiction_clause,[],[f3264]) ).

fof(f3264,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_56
    | spl0_126
    | spl0_128 ),
    inference(subsumption_resolution,[],[f3248,f845]) ).

fof(f845,plain,
    ( ~ c0_1(a830)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f843,plain,
    ( spl0_128
  <=> c0_1(a830) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f3248,plain,
    ( c0_1(a830)
    | ~ spl0_47
    | ~ spl0_56
    | spl0_126 ),
    inference(resolution,[],[f3242,f835]) ).

fof(f3242,plain,
    ( ! [X69] :
        ( c3_1(X69)
        | c0_1(X69) )
    | ~ spl0_47
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f462,f422]) ).

fof(f422,plain,
    ( ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48)
        | c3_1(X48) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f421,plain,
    ( spl0_47
  <=> ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48)
        | c3_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f462,plain,
    ( ! [X69] :
        ( c2_1(X69)
        | c0_1(X69)
        | c3_1(X69) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f461,plain,
    ( spl0_56
  <=> ! [X69] :
        ( c3_1(X69)
        | c0_1(X69)
        | c2_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3239,plain,
    ( spl0_156
    | ~ spl0_55
    | spl0_135
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3232,f891,f881,f455,f1090]) ).

fof(f1090,plain,
    ( spl0_156
  <=> c2_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f455,plain,
    ( spl0_55
  <=> ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3232,plain,
    ( c2_1(a825)
    | ~ spl0_55
    | spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3223,f883]) ).

fof(f3223,plain,
    ( c0_1(a825)
    | c2_1(a825)
    | ~ spl0_55
    | ~ spl0_137 ),
    inference(resolution,[],[f456,f893]) ).

fof(f456,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c2_1(X63) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f3214,plain,
    ( spl0_176
    | ~ spl0_47
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3213,f907,f902,f421,f2740]) ).

fof(f3213,plain,
    ( c3_1(a821)
    | ~ spl0_47
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3201,f904]) ).

fof(f3201,plain,
    ( c0_1(a821)
    | c3_1(a821)
    | ~ spl0_47
    | ~ spl0_140 ),
    inference(resolution,[],[f422,f909]) ).

fof(f3111,plain,
    ( ~ spl0_43
    | spl0_135
    | ~ spl0_136
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f3110]) ).

fof(f3110,plain,
    ( $false
    | ~ spl0_43
    | spl0_135
    | ~ spl0_136
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3109,f888]) ).

fof(f3109,plain,
    ( ~ c3_1(a825)
    | ~ spl0_43
    | spl0_135
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3092,f883]) ).

fof(f3092,plain,
    ( c0_1(a825)
    | ~ c3_1(a825)
    | ~ spl0_43
    | ~ spl0_156 ),
    inference(resolution,[],[f405,f1092]) ).

fof(f1092,plain,
    ( c2_1(a825)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f3080,plain,
    ( ~ spl0_28
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3079]) ).

fof(f3079,plain,
    ( $false
    | ~ spl0_28
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3078,f957]) ).

fof(f3078,plain,
    ( ~ c0_1(a816)
    | ~ spl0_28
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3067,f952]) ).

fof(f952,plain,
    ( c3_1(a816)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f950,plain,
    ( spl0_148
  <=> c3_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3067,plain,
    ( ~ c3_1(a816)
    | ~ c0_1(a816)
    | ~ spl0_28
    | spl0_147 ),
    inference(resolution,[],[f338,f947]) ).

fof(f3065,plain,
    ( spl0_178
    | spl0_123
    | ~ spl0_39
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2979,f827,f384,f817,f3062]) ).

fof(f384,plain,
    ( spl0_39
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | c2_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2979,plain,
    ( c1_1(a831)
    | c2_1(a831)
    | ~ spl0_39
    | ~ spl0_125 ),
    inference(resolution,[],[f385,f829]) ).

fof(f385,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | c2_1(X23) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f3060,plain,
    ( spl0_123
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f3049,f827,f384,f362,f817]) ).

fof(f3049,plain,
    ( c1_1(a831)
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_125 ),
    inference(resolution,[],[f3041,f829]) ).

fof(f3041,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c1_1(X14) )
    | ~ spl0_34
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f363,f385]) ).

fof(f2972,plain,
    ( ~ spl0_82
    | ~ spl0_35
    | spl0_81
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2969,f603,f593,f366,f598]) ).

fof(f2969,plain,
    ( ~ c3_1(a862)
    | ~ spl0_35
    | spl0_81
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f2958,f595]) ).

fof(f595,plain,
    ( ~ c1_1(a862)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f2958,plain,
    ( c1_1(a862)
    | ~ c3_1(a862)
    | ~ spl0_35
    | ~ spl0_83 ),
    inference(resolution,[],[f367,f605]) ).

fof(f2965,plain,
    ( ~ spl0_35
    | spl0_102
    | ~ spl0_103
    | ~ spl0_174 ),
    inference(avatar_contradiction_clause,[],[f2964]) ).

fof(f2964,plain,
    ( $false
    | ~ spl0_35
    | spl0_102
    | ~ spl0_103
    | ~ spl0_174 ),
    inference(subsumption_resolution,[],[f2963,f712]) ).

fof(f2963,plain,
    ( ~ c3_1(a848)
    | ~ spl0_35
    | spl0_102
    | ~ spl0_174 ),
    inference(subsumption_resolution,[],[f2956,f707]) ).

fof(f2956,plain,
    ( c1_1(a848)
    | ~ c3_1(a848)
    | ~ spl0_35
    | ~ spl0_174 ),
    inference(resolution,[],[f367,f2393]) ).

fof(f2393,plain,
    ( c0_1(a848)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f2392]) ).

fof(f2913,plain,
    ( spl0_159
    | ~ spl0_25
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2912,f875,f870,f323,f1304]) ).

fof(f1304,plain,
    ( spl0_159
  <=> c3_1(a827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f870,plain,
    ( spl0_133
  <=> c2_1(a827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f875,plain,
    ( spl0_134
  <=> c1_1(a827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2912,plain,
    ( c3_1(a827)
    | ~ spl0_25
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2903,f877]) ).

fof(f877,plain,
    ( c1_1(a827)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f2903,plain,
    ( c3_1(a827)
    | ~ c1_1(a827)
    | ~ spl0_25
    | ~ spl0_133 ),
    inference(resolution,[],[f324,f872]) ).

fof(f872,plain,
    ( c2_1(a827)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f2899,plain,
    ( ~ spl0_23
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(avatar_contradiction_clause,[],[f2898]) ).

fof(f2898,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f2897,f504]) ).

fof(f504,plain,
    ( c2_1(a865)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f502,plain,
    ( spl0_64
  <=> c2_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2897,plain,
    ( ~ c2_1(a865)
    | ~ spl0_23
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f2885,f499]) ).

fof(f499,plain,
    ( c3_1(a865)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl0_63
  <=> c3_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2885,plain,
    ( ~ c3_1(a865)
    | ~ c2_1(a865)
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(resolution,[],[f316,f509]) ).

fof(f509,plain,
    ( c1_1(a865)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl0_65
  <=> c1_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f316,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2896,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2895]) ).

fof(f2895,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2894,f536]) ).

fof(f2894,plain,
    ( ~ c2_1(a826)
    | ~ spl0_23
    | ~ spl0_69
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2884,f531]) ).

fof(f2884,plain,
    ( ~ c3_1(a826)
    | ~ c2_1(a826)
    | ~ spl0_23
    | ~ spl0_155 ),
    inference(resolution,[],[f316,f1083]) ).

fof(f1083,plain,
    ( c1_1(a826)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f2891,plain,
    ( ~ spl0_159
    | ~ spl0_23
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2890,f875,f870,f315,f1304]) ).

fof(f2890,plain,
    ( ~ c3_1(a827)
    | ~ spl0_23
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2880,f872]) ).

fof(f2880,plain,
    ( ~ c3_1(a827)
    | ~ c2_1(a827)
    | ~ spl0_23
    | ~ spl0_134 ),
    inference(resolution,[],[f316,f877]) ).

fof(f2889,plain,
    ( ~ spl0_156
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2888,f891,f886,f315,f1090]) ).

fof(f2888,plain,
    ( ~ c2_1(a825)
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2879,f888]) ).

fof(f2879,plain,
    ( ~ c3_1(a825)
    | ~ c2_1(a825)
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(resolution,[],[f316,f893]) ).

fof(f2873,plain,
    ( ~ spl0_23
    | ~ spl0_54
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2872]) ).

fof(f2872,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_54
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2865,f888]) ).

fof(f2865,plain,
    ( ~ c3_1(a825)
    | ~ spl0_23
    | ~ spl0_54
    | ~ spl0_137 ),
    inference(resolution,[],[f2763,f893]) ).

fof(f2763,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_23
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f316,f452]) ).

fof(f452,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | c2_1(X59)
        | ~ c3_1(X59) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f451,plain,
    ( spl0_54
  <=> ! [X59] :
        ( ~ c3_1(X59)
        | c2_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2862,plain,
    ( spl0_156
    | ~ spl0_54
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2861,f891,f886,f451,f1090]) ).

fof(f2861,plain,
    ( c2_1(a825)
    | ~ spl0_54
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2857,f888]) ).

fof(f2857,plain,
    ( c2_1(a825)
    | ~ c3_1(a825)
    | ~ spl0_54
    | ~ spl0_137 ),
    inference(resolution,[],[f893,f452]) ).

fof(f2852,plain,
    ( spl0_159
    | ~ spl0_47
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2848,f870,f865,f421,f1304]) ).

fof(f865,plain,
    ( spl0_132
  <=> c0_1(a827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2848,plain,
    ( c3_1(a827)
    | ~ spl0_47
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2831,f867]) ).

fof(f867,plain,
    ( ~ c0_1(a827)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f2831,plain,
    ( c0_1(a827)
    | c3_1(a827)
    | ~ spl0_47
    | ~ spl0_133 ),
    inference(resolution,[],[f422,f872]) ).

fof(f2851,plain,
    ( spl0_144
    | ~ spl0_47
    | spl0_145
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2842,f939,f934,f421,f929]) ).

fof(f929,plain,
    ( spl0_144
  <=> c3_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f934,plain,
    ( spl0_145
  <=> c0_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f939,plain,
    ( spl0_146
  <=> c2_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2842,plain,
    ( c3_1(a817)
    | ~ spl0_47
    | spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2828,f936]) ).

fof(f936,plain,
    ( ~ c0_1(a817)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f2828,plain,
    ( c0_1(a817)
    | c3_1(a817)
    | ~ spl0_47
    | ~ spl0_146 ),
    inference(resolution,[],[f422,f941]) ).

fof(f941,plain,
    ( c2_1(a817)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f2827,plain,
    ( ~ spl0_33
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f2826]) ).

fof(f2826,plain,
    ( $false
    | ~ spl0_33
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2825,f627]) ).

fof(f627,plain,
    ( ~ c3_1(a857)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f2825,plain,
    ( c3_1(a857)
    | ~ spl0_33
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2819,f632]) ).

fof(f2819,plain,
    ( c2_1(a857)
    | c3_1(a857)
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(resolution,[],[f359,f637]) ).

fof(f359,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f358,plain,
    ( spl0_33
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2785,plain,
    ( ~ spl0_43
    | ~ spl0_47
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2784]) ).

fof(f2784,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_47
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2769,f867]) ).

fof(f2769,plain,
    ( c0_1(a827)
    | ~ spl0_43
    | ~ spl0_47
    | ~ spl0_133 ),
    inference(resolution,[],[f2761,f872]) ).

fof(f2761,plain,
    ( ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48) )
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f422,f405]) ).

fof(f2760,plain,
    ( ~ spl0_54
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2759]) ).

fof(f2759,plain,
    ( $false
    | ~ spl0_54
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f2758,f760]) ).

fof(f2758,plain,
    ( ~ c3_1(a839)
    | ~ spl0_54
    | spl0_111
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f2757,f755]) ).

fof(f2757,plain,
    ( c2_1(a839)
    | ~ c3_1(a839)
    | ~ spl0_54
    | ~ spl0_113 ),
    inference(resolution,[],[f765,f452]) ).

fof(f2744,plain,
    ( spl0_145
    | ~ spl0_46
    | ~ spl0_59
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2717,f939,f477,f417,f934]) ).

fof(f417,plain,
    ( spl0_46
  <=> ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2717,plain,
    ( c0_1(a817)
    | ~ spl0_46
    | ~ spl0_59
    | ~ spl0_146 ),
    inference(resolution,[],[f2714,f941]) ).

fof(f2714,plain,
    ( ! [X79] :
        ( ~ c2_1(X79)
        | c0_1(X79) )
    | ~ spl0_46
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f478,f418]) ).

fof(f418,plain,
    ( ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f2681,plain,
    ( spl0_49
    | ~ spl0_46
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2680,f461,f417,f429]) ).

fof(f429,plain,
    ( spl0_49
  <=> ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | c3_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2680,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f2665]) ).

fof(f2665,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_56 ),
    inference(resolution,[],[f418,f462]) ).

fof(f2660,plain,
    ( ~ spl0_22
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_60
    | spl0_144
    | spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2659]) ).

fof(f2659,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_60
    | spl0_144
    | spl0_145 ),
    inference(subsumption_resolution,[],[f2644,f936]) ).

fof(f2644,plain,
    ( c0_1(a817)
    | ~ spl0_22
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_60
    | spl0_144 ),
    inference(resolution,[],[f2641,f931]) ).

fof(f931,plain,
    ( ~ c3_1(a817)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f2641,plain,
    ( ! [X83] :
        ( c3_1(X83)
        | c0_1(X83) )
    | ~ spl0_22
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f483,f2549]) ).

fof(f2549,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52) )
    | ~ spl0_22
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f430,f2468]) ).

fof(f2468,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | ~ c1_1(X40) )
    | ~ spl0_22
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f409,f313]) ).

fof(f313,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f312,plain,
    ( spl0_22
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f430,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | c3_1(X52) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f483,plain,
    ( ! [X83] :
        ( c3_1(X83)
        | c0_1(X83)
        | c1_1(X83) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_60
  <=> ! [X83] :
        ( c3_1(X83)
        | c0_1(X83)
        | c1_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2626,plain,
    ( spl0_174
    | ~ spl0_43
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2625,f715,f710,f404,f2392]) ).

fof(f2625,plain,
    ( c0_1(a848)
    | ~ spl0_43
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f2619,f712]) ).

fof(f2619,plain,
    ( c0_1(a848)
    | ~ c3_1(a848)
    | ~ spl0_43
    | ~ spl0_104 ),
    inference(resolution,[],[f405,f717]) ).

fof(f2608,plain,
    ( ~ spl0_28
    | spl0_129
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f2607]) ).

fof(f2607,plain,
    ( $false
    | ~ spl0_28
    | spl0_129
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2606,f861]) ).

fof(f861,plain,
    ( c0_1(a828)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f859,plain,
    ( spl0_131
  <=> c0_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2606,plain,
    ( ~ c0_1(a828)
    | ~ spl0_28
    | spl0_129
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2596,f2171]) ).

fof(f2171,plain,
    ( c3_1(a828)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2170]) ).

fof(f2170,plain,
    ( spl0_171
  <=> c3_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2596,plain,
    ( ~ c3_1(a828)
    | ~ c0_1(a828)
    | ~ spl0_28
    | spl0_129 ),
    inference(resolution,[],[f338,f851]) ).

fof(f851,plain,
    ( ~ c2_1(a828)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_129
  <=> c2_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2542,plain,
    ( ~ spl0_22
    | ~ spl0_35
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f2541]) ).

fof(f2541,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2538,f861]) ).

fof(f2538,plain,
    ( ~ c0_1(a828)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_171 ),
    inference(resolution,[],[f2171,f2469]) ).

fof(f2469,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_22
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f367,f313]) ).

fof(f2511,plain,
    ( ~ spl0_41
    | spl0_141
    | spl0_142
    | spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2510]) ).

fof(f2510,plain,
    ( $false
    | ~ spl0_41
    | spl0_141
    | spl0_142
    | spl0_164 ),
    inference(subsumption_resolution,[],[f2509,f915]) ).

fof(f915,plain,
    ( ~ c3_1(a820)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f913,plain,
    ( spl0_141
  <=> c3_1(a820) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2509,plain,
    ( c3_1(a820)
    | ~ spl0_41
    | spl0_142
    | spl0_164 ),
    inference(subsumption_resolution,[],[f2508,f920]) ).

fof(f920,plain,
    ( ~ c1_1(a820)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f918,plain,
    ( spl0_142
  <=> c1_1(a820) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2508,plain,
    ( c1_1(a820)
    | c3_1(a820)
    | ~ spl0_41
    | spl0_164 ),
    inference(resolution,[],[f1439,f395]) ).

fof(f1439,plain,
    ( ~ c2_1(a820)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1438,plain,
    ( spl0_164
  <=> c2_1(a820) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2444,plain,
    ( ~ spl0_22
    | ~ spl0_44
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2443]) ).

fof(f2443,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_44
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f2437,f765]) ).

fof(f2437,plain,
    ( ~ c1_1(a839)
    | ~ spl0_22
    | ~ spl0_44
    | ~ spl0_112 ),
    inference(resolution,[],[f2403,f760]) ).

fof(f2403,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | ~ c1_1(X40) )
    | ~ spl0_22
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f409,f313]) ).

fof(f2432,plain,
    ( spl0_171
    | spl0_130
    | ~ spl0_41
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2431,f849,f394,f854,f2170]) ).

fof(f854,plain,
    ( spl0_130
  <=> c1_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2431,plain,
    ( c1_1(a828)
    | c3_1(a828)
    | ~ spl0_41
    | spl0_129 ),
    inference(resolution,[],[f851,f395]) ).

fof(f2429,plain,
    ( spl0_153
    | spl0_85
    | ~ spl0_41
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2428,f609,f394,f614,f1011]) ).

fof(f1011,plain,
    ( spl0_153
  <=> c3_1(a860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f614,plain,
    ( spl0_85
  <=> c1_1(a860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f609,plain,
    ( spl0_84
  <=> c2_1(a860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2428,plain,
    ( c1_1(a860)
    | c3_1(a860)
    | ~ spl0_41
    | spl0_84 ),
    inference(resolution,[],[f611,f395]) ).

fof(f611,plain,
    ( ~ c2_1(a860)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f2422,plain,
    ( ~ spl0_39
    | ~ spl0_41
    | spl0_81
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2421]) ).

fof(f2421,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_41
    | spl0_81
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2416,f595]) ).

fof(f2416,plain,
    ( c1_1(a862)
    | ~ spl0_39
    | ~ spl0_41
    | spl0_161 ),
    inference(resolution,[],[f2342,f1403]) ).

fof(f2342,plain,
    ( ! [X23] :
        ( c2_1(X23)
        | c1_1(X23) )
    | ~ spl0_39
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f385,f395]) ).

fof(f2401,plain,
    ( spl0_128
    | ~ spl0_52
    | ~ spl0_56
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2398,f838,f461,f442,f843]) ).

fof(f442,plain,
    ( spl0_52
  <=> ! [X57] :
        ( ~ c3_1(X57)
        | c0_1(X57)
        | c2_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2398,plain,
    ( c0_1(a830)
    | ~ spl0_52
    | ~ spl0_56
    | spl0_127 ),
    inference(resolution,[],[f840,f2225]) ).

fof(f2225,plain,
    ( ! [X69] :
        ( c2_1(X69)
        | c0_1(X69) )
    | ~ spl0_52
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f462,f443]) ).

fof(f443,plain,
    ( ! [X57] :
        ( c2_1(X57)
        | c0_1(X57)
        | ~ c3_1(X57) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f2369,plain,
    ( spl0_157
    | ~ spl0_52
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2368,f758,f753,f442,f1257]) ).

fof(f2368,plain,
    ( c0_1(a839)
    | ~ spl0_52
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f2365,f760]) ).

fof(f2365,plain,
    ( c0_1(a839)
    | ~ c3_1(a839)
    | ~ spl0_52
    | spl0_111 ),
    inference(resolution,[],[f755,f443]) ).

fof(f2340,plain,
    ( spl0_142
    | ~ spl0_37
    | ~ spl0_143
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2339,f1438,f923,f375,f918]) ).

fof(f375,plain,
    ( spl0_37
  <=> ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f923,plain,
    ( spl0_143
  <=> c0_1(a820) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2339,plain,
    ( c1_1(a820)
    | ~ spl0_37
    | ~ spl0_143
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2227,f925]) ).

fof(f925,plain,
    ( c0_1(a820)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f2227,plain,
    ( c1_1(a820)
    | ~ c0_1(a820)
    | ~ spl0_37
    | ~ spl0_164 ),
    inference(resolution,[],[f1440,f376]) ).

fof(f376,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f1440,plain,
    ( c2_1(a820)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f2338,plain,
    ( spl0_38
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2131,f394,f375,f379]) ).

fof(f379,plain,
    ( spl0_38
  <=> ! [X20] :
        ( ~ c0_1(X20)
        | c1_1(X20)
        | c3_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2131,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f2115]) ).

fof(f2115,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(resolution,[],[f376,f395]) ).

fof(f2328,plain,
    ( spl0_106
    | ~ spl0_38
    | ~ spl0_60
    | spl0_105 ),
    inference(avatar_split_clause,[],[f2312,f721,f482,f379,f726]) ).

fof(f726,plain,
    ( spl0_106
  <=> c1_1(a844) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f721,plain,
    ( spl0_105
  <=> c3_1(a844) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2312,plain,
    ( c1_1(a844)
    | ~ spl0_38
    | ~ spl0_60
    | spl0_105 ),
    inference(resolution,[],[f2302,f723]) ).

fof(f723,plain,
    ( ~ c3_1(a844)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f2302,plain,
    ( ! [X83] :
        ( c3_1(X83)
        | c1_1(X83) )
    | ~ spl0_38
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f483,f380]) ).

fof(f380,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c1_1(X20)
        | c3_1(X20) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f2326,plain,
    ( ~ spl0_38
    | ~ spl0_60
    | spl0_93
    | spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2325]) ).

fof(f2325,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_60
    | spl0_93
    | spl0_94 ),
    inference(subsumption_resolution,[],[f2315,f664]) ).

fof(f664,plain,
    ( ~ c1_1(a855)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_94
  <=> c1_1(a855) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2315,plain,
    ( c1_1(a855)
    | ~ spl0_38
    | ~ spl0_60
    | spl0_93 ),
    inference(resolution,[],[f2302,f659]) ).

fof(f659,plain,
    ( ~ c3_1(a855)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl0_93
  <=> c3_1(a855) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2255,plain,
    ( ~ spl0_46
    | ~ spl0_55
    | ~ spl0_58
    | spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2254]) ).

fof(f2254,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_55
    | ~ spl0_58
    | spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2244,f824]) ).

fof(f2244,plain,
    ( c0_1(a831)
    | ~ spl0_46
    | ~ spl0_55
    | ~ spl0_58
    | ~ spl0_125 ),
    inference(resolution,[],[f2239,f829]) ).

fof(f2239,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c0_1(X76) )
    | ~ spl0_46
    | ~ spl0_55
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f473,f2209]) ).

fof(f2209,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63) )
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f456,f418]) ).

fof(f2182,plain,
    ( ~ spl0_22
    | ~ spl0_109
    | ~ spl0_110
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2181]) ).

fof(f2181,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_109
    | ~ spl0_110
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2180,f744]) ).

fof(f2180,plain,
    ( ~ c1_1(a842)
    | ~ spl0_22
    | ~ spl0_110
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2179,f749]) ).

fof(f2179,plain,
    ( ~ c0_1(a842)
    | ~ c1_1(a842)
    | ~ spl0_22
    | ~ spl0_162 ),
    inference(resolution,[],[f1428,f313]) ).

fof(f1428,plain,
    ( c3_1(a842)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f2166,plain,
    ( ~ spl0_137
    | ~ spl0_46
    | spl0_135
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2160,f1090,f881,f417,f891]) ).

fof(f2160,plain,
    ( ~ c1_1(a825)
    | ~ spl0_46
    | spl0_135
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2144,f883]) ).

fof(f2144,plain,
    ( c0_1(a825)
    | ~ c1_1(a825)
    | ~ spl0_46
    | ~ spl0_156 ),
    inference(resolution,[],[f418,f1092]) ).

fof(f2080,plain,
    ( spl0_154
    | ~ spl0_52
    | spl0_90
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2079,f651,f641,f442,f1045]) ).

fof(f1045,plain,
    ( spl0_154
  <=> c0_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f641,plain,
    ( spl0_90
  <=> c2_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f651,plain,
    ( spl0_92
  <=> c3_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2079,plain,
    ( c0_1(a856)
    | ~ spl0_52
    | spl0_90
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f2077,f653]) ).

fof(f653,plain,
    ( c3_1(a856)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f2077,plain,
    ( c0_1(a856)
    | ~ c3_1(a856)
    | ~ spl0_52
    | spl0_90 ),
    inference(resolution,[],[f643,f443]) ).

fof(f643,plain,
    ( ~ c2_1(a856)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f2075,plain,
    ( ~ spl0_166
    | ~ spl0_30
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2074,f635,f630,f345,f1486]) ).

fof(f345,plain,
    ( spl0_30
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c2_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2074,plain,
    ( ~ c1_1(a857)
    | ~ spl0_30
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2062,f637]) ).

fof(f2062,plain,
    ( ~ c1_1(a857)
    | ~ c0_1(a857)
    | ~ spl0_30
    | spl0_88 ),
    inference(resolution,[],[f346,f632]) ).

fof(f346,plain,
    ( ! [X8] :
        ( c2_1(X8)
        | ~ c1_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f2070,plain,
    ( ~ spl0_30
    | spl0_108
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f2069]) ).

fof(f2069,plain,
    ( $false
    | ~ spl0_30
    | spl0_108
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f2068,f749]) ).

fof(f2068,plain,
    ( ~ c0_1(a842)
    | ~ spl0_30
    | spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f2060,f744]) ).

fof(f2060,plain,
    ( ~ c1_1(a842)
    | ~ c0_1(a842)
    | ~ spl0_30
    | spl0_108 ),
    inference(resolution,[],[f346,f739]) ).

fof(f2032,plain,
    ( ~ spl0_165
    | ~ spl0_22
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2031,f955,f950,f312,f1450]) ).

fof(f2031,plain,
    ( ~ c1_1(a816)
    | ~ spl0_22
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2030,f957]) ).

fof(f2030,plain,
    ( ~ c0_1(a816)
    | ~ c1_1(a816)
    | ~ spl0_22
    | ~ spl0_148 ),
    inference(resolution,[],[f952,f313]) ).

fof(f1999,plain,
    ( ~ spl0_31
    | ~ spl0_41
    | spl0_87
    | spl0_88 ),
    inference(avatar_contradiction_clause,[],[f1998]) ).

fof(f1998,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_41
    | spl0_87
    | spl0_88 ),
    inference(subsumption_resolution,[],[f1990,f627]) ).

fof(f1990,plain,
    ( c3_1(a857)
    | ~ spl0_31
    | ~ spl0_41
    | spl0_88 ),
    inference(resolution,[],[f1976,f632]) ).

fof(f1976,plain,
    ( ! [X9] :
        ( c2_1(X9)
        | c3_1(X9) )
    | ~ spl0_31
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f350,f395]) ).

fof(f1975,plain,
    ( ~ spl0_40
    | spl0_90
    | spl0_91
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1974]) ).

fof(f1974,plain,
    ( $false
    | ~ spl0_40
    | spl0_90
    | spl0_91
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1973,f643]) ).

fof(f1973,plain,
    ( c2_1(a856)
    | ~ spl0_40
    | spl0_91
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1972,f648]) ).

fof(f648,plain,
    ( ~ c1_1(a856)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl0_91
  <=> c1_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1972,plain,
    ( c1_1(a856)
    | c2_1(a856)
    | ~ spl0_40
    | ~ spl0_154 ),
    inference(resolution,[],[f1046,f389]) ).

fof(f1046,plain,
    ( c0_1(a856)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1873,plain,
    ( ~ spl0_155
    | ~ spl0_71
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1872,f529,f312,f539,f1082]) ).

fof(f1872,plain,
    ( ~ c0_1(a826)
    | ~ c1_1(a826)
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(resolution,[],[f531,f313]) ).

fof(f1835,plain,
    ( spl0_86
    | ~ spl0_52
    | spl0_84
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1834,f1011,f609,f442,f619]) ).

fof(f619,plain,
    ( spl0_86
  <=> c0_1(a860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1834,plain,
    ( c0_1(a860)
    | ~ spl0_52
    | spl0_84
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f1811,f1012]) ).

fof(f1012,plain,
    ( c3_1(a860)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1811,plain,
    ( c0_1(a860)
    | ~ c3_1(a860)
    | ~ spl0_52
    | spl0_84 ),
    inference(resolution,[],[f443,f611]) ).

fof(f1820,plain,
    ( ~ spl0_52
    | spl0_135
    | ~ spl0_136
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1819]) ).

fof(f1819,plain,
    ( $false
    | ~ spl0_52
    | spl0_135
    | ~ spl0_136
    | spl0_156 ),
    inference(subsumption_resolution,[],[f1818,f888]) ).

fof(f1818,plain,
    ( ~ c3_1(a825)
    | ~ spl0_52
    | spl0_135
    | spl0_156 ),
    inference(subsumption_resolution,[],[f1803,f883]) ).

fof(f1803,plain,
    ( c0_1(a825)
    | ~ c3_1(a825)
    | ~ spl0_52
    | spl0_156 ),
    inference(resolution,[],[f443,f1091]) ).

fof(f1091,plain,
    ( ~ c2_1(a825)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1702,plain,
    ( ~ spl0_115
    | ~ spl0_50
    | spl0_114
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1699,f779,f769,f433,f774]) ).

fof(f774,plain,
    ( spl0_115
  <=> c2_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f433,plain,
    ( spl0_50
  <=> ! [X53] :
        ( ~ c2_1(X53)
        | c3_1(X53)
        | ~ c0_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f769,plain,
    ( spl0_114
  <=> c3_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f779,plain,
    ( spl0_116
  <=> c0_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1699,plain,
    ( ~ c2_1(a838)
    | ~ spl0_50
    | spl0_114
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1697,f771]) ).

fof(f771,plain,
    ( ~ c3_1(a838)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f1697,plain,
    ( c3_1(a838)
    | ~ c2_1(a838)
    | ~ spl0_50
    | ~ spl0_116 ),
    inference(resolution,[],[f434,f781]) ).

fof(f781,plain,
    ( c0_1(a838)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f434,plain,
    ( ! [X53] :
        ( ~ c0_1(X53)
        | c3_1(X53)
        | ~ c2_1(X53) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1647,plain,
    ( ~ spl0_159
    | spl0_132
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1606,f870,f404,f865,f1304]) ).

fof(f1606,plain,
    ( c0_1(a827)
    | ~ c3_1(a827)
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(resolution,[],[f405,f872]) ).

fof(f1622,plain,
    ( ~ spl0_43
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | ~ spl0_43
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1620,f792]) ).

fof(f792,plain,
    ( c3_1(a835)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_118
  <=> c3_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1620,plain,
    ( ~ c3_1(a835)
    | ~ spl0_43
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1609,f787]) ).

fof(f787,plain,
    ( ~ c0_1(a835)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_117
  <=> c0_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1609,plain,
    ( c0_1(a835)
    | ~ c3_1(a835)
    | ~ spl0_43
    | ~ spl0_119 ),
    inference(resolution,[],[f405,f797]) ).

fof(f797,plain,
    ( c2_1(a835)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_119
  <=> c2_1(a835) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1596,plain,
    ( spl0_161
    | ~ spl0_40
    | spl0_81
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1595,f603,f593,f388,f1402]) ).

fof(f1595,plain,
    ( c2_1(a862)
    | ~ spl0_40
    | spl0_81
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f1593,f595]) ).

fof(f1593,plain,
    ( c1_1(a862)
    | c2_1(a862)
    | ~ spl0_40
    | ~ spl0_83 ),
    inference(resolution,[],[f605,f389]) ).

fof(f1476,plain,
    ( ~ spl0_164
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_50
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1471,f923,f433,f366,f312,f1438]) ).

fof(f1471,plain,
    ( ~ c2_1(a820)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_50
    | ~ spl0_143 ),
    inference(resolution,[],[f1459,f925]) ).

fof(f1459,plain,
    ( ! [X53] :
        ( ~ c0_1(X53)
        | ~ c2_1(X53) )
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f434,f1086]) ).

fof(f1086,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_22
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f367,f313]) ).

fof(f1436,plain,
    ( spl0_142
    | ~ spl0_37
    | ~ spl0_40
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1410,f923,f388,f375,f918]) ).

fof(f1410,plain,
    ( c1_1(a820)
    | ~ spl0_37
    | ~ spl0_40
    | ~ spl0_143 ),
    inference(resolution,[],[f1406,f925]) ).

fof(f1406,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19) )
    | ~ spl0_37
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f376,f389]) ).

fof(f1302,plain,
    ( ~ spl0_134
    | ~ spl0_46
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1301,f870,f865,f417,f875]) ).

fof(f1301,plain,
    ( ~ c1_1(a827)
    | ~ spl0_46
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1299,f867]) ).

fof(f1299,plain,
    ( c0_1(a827)
    | ~ c1_1(a827)
    | ~ spl0_46
    | ~ spl0_133 ),
    inference(resolution,[],[f872,f418]) ).

fof(f1271,plain,
    ( spl0_108
    | ~ spl0_30
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1262,f747,f388,f345,f737]) ).

fof(f1262,plain,
    ( c2_1(a842)
    | ~ spl0_30
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(resolution,[],[f1251,f749]) ).

fof(f1251,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c2_1(X8) )
    | ~ spl0_30
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f346,f389]) ).

fof(f1260,plain,
    ( ~ spl0_113
    | ~ spl0_157
    | ~ spl0_22
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1255,f758,f312,f1257,f763]) ).

fof(f1255,plain,
    ( ~ c0_1(a839)
    | ~ c1_1(a839)
    | ~ spl0_22
    | ~ spl0_112 ),
    inference(resolution,[],[f760,f313]) ).

fof(f1249,plain,
    ( ~ spl0_49
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1248]) ).

fof(f1248,plain,
    ( $false
    | ~ spl0_49
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1247,f579]) ).

fof(f579,plain,
    ( ~ c3_1(a878)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl0_78
  <=> c3_1(a878) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1247,plain,
    ( c3_1(a878)
    | ~ spl0_49
    | spl0_79
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1236,f584]) ).

fof(f584,plain,
    ( ~ c0_1(a878)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f582,plain,
    ( spl0_79
  <=> c0_1(a878) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1236,plain,
    ( c0_1(a878)
    | c3_1(a878)
    | ~ spl0_49
    | ~ spl0_80 ),
    inference(resolution,[],[f430,f589]) ).

fof(f589,plain,
    ( c1_1(a878)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f587,plain,
    ( spl0_80
  <=> c1_1(a878) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1241,plain,
    ( ~ spl0_41
    | ~ spl0_49
    | spl0_126
    | spl0_127
    | spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1240]) ).

fof(f1240,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_49
    | spl0_126
    | spl0_127
    | spl0_128 ),
    inference(subsumption_resolution,[],[f1239,f835]) ).

fof(f1239,plain,
    ( c3_1(a830)
    | ~ spl0_41
    | ~ spl0_49
    | spl0_126
    | spl0_127
    | spl0_128 ),
    inference(subsumption_resolution,[],[f1230,f845]) ).

fof(f1230,plain,
    ( c0_1(a830)
    | c3_1(a830)
    | ~ spl0_41
    | ~ spl0_49
    | spl0_126
    | spl0_127 ),
    inference(resolution,[],[f430,f1160]) ).

fof(f1160,plain,
    ( c1_1(a830)
    | ~ spl0_41
    | spl0_126
    | spl0_127 ),
    inference(subsumption_resolution,[],[f1150,f835]) ).

fof(f1150,plain,
    ( c1_1(a830)
    | c3_1(a830)
    | ~ spl0_41
    | spl0_127 ),
    inference(resolution,[],[f395,f840]) ).

fof(f1221,plain,
    ( ~ spl0_37
    | ~ spl0_40
    | spl0_81
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1220]) ).

fof(f1220,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_40
    | spl0_81
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f1218,f595]) ).

fof(f1218,plain,
    ( c1_1(a862)
    | ~ spl0_37
    | ~ spl0_40
    | ~ spl0_83 ),
    inference(resolution,[],[f1215,f605]) ).

fof(f1215,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19) )
    | ~ spl0_37
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f376,f389]) ).

fof(f1195,plain,
    ( ~ spl0_22
    | ~ spl0_45
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1194]) ).

fof(f1194,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_45
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1190,f744]) ).

fof(f1190,plain,
    ( ~ c1_1(a842)
    | ~ spl0_22
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(resolution,[],[f1186,f749]) ).

fof(f1186,plain,
    ( ! [X42] :
        ( ~ c0_1(X42)
        | ~ c1_1(X42) )
    | ~ spl0_22
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f414,f313]) ).

fof(f1144,plain,
    ( ~ spl0_22
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_58
    | spl0_84
    | spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1143]) ).

fof(f1143,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_58
    | spl0_84
    | spl0_85 ),
    inference(subsumption_resolution,[],[f1137,f616]) ).

fof(f616,plain,
    ( ~ c1_1(a860)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f1137,plain,
    ( c1_1(a860)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_58
    | spl0_84 ),
    inference(resolution,[],[f1128,f611]) ).

fof(f1128,plain,
    ( ! [X31] :
        ( c2_1(X31)
        | c1_1(X31) )
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f395,f1124]) ).

fof(f1124,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c1_1(X76) )
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f473,f1086]) ).

fof(f1122,plain,
    ( ~ spl0_39
    | ~ spl0_41
    | spl0_84
    | spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1121]) ).

fof(f1121,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_41
    | spl0_84
    | spl0_85 ),
    inference(subsumption_resolution,[],[f1115,f616]) ).

fof(f1115,plain,
    ( c1_1(a860)
    | ~ spl0_39
    | ~ spl0_41
    | spl0_84 ),
    inference(resolution,[],[f1106,f611]) ).

fof(f1106,plain,
    ( ! [X31] :
        ( c2_1(X31)
        | c1_1(X31) )
    | ~ spl0_39
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f395,f385]) ).

fof(f1118,plain,
    ( ~ spl0_39
    | ~ spl0_41
    | spl0_129
    | spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_41
    | spl0_129
    | spl0_130 ),
    inference(subsumption_resolution,[],[f1108,f856]) ).

fof(f856,plain,
    ( ~ c1_1(a828)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f1108,plain,
    ( c1_1(a828)
    | ~ spl0_39
    | ~ spl0_41
    | spl0_129 ),
    inference(resolution,[],[f1106,f851]) ).

fof(f1103,plain,
    ( ~ spl0_40
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1102]) ).

fof(f1102,plain,
    ( $false
    | ~ spl0_40
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1101,f851]) ).

fof(f1101,plain,
    ( c2_1(a828)
    | ~ spl0_40
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1096,f856]) ).

fof(f1096,plain,
    ( c1_1(a828)
    | c2_1(a828)
    | ~ spl0_40
    | ~ spl0_131 ),
    inference(resolution,[],[f389,f861]) ).

fof(f1079,plain,
    ( ~ spl0_39
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f1078]) ).

fof(f1078,plain,
    ( $false
    | ~ spl0_39
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f1077,f643]) ).

fof(f1077,plain,
    ( c2_1(a856)
    | ~ spl0_39
    | spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f1070,f648]) ).

fof(f1070,plain,
    ( c1_1(a856)
    | c2_1(a856)
    | ~ spl0_39
    | ~ spl0_92 ),
    inference(resolution,[],[f385,f653]) ).

fof(f1048,plain,
    ( ~ spl0_154
    | ~ spl0_92
    | ~ spl0_28
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1043,f641,f337,f651,f1045]) ).

fof(f1043,plain,
    ( ~ c3_1(a856)
    | ~ c0_1(a856)
    | ~ spl0_28
    | spl0_90 ),
    inference(resolution,[],[f643,f338]) ).

fof(f1041,plain,
    ( ~ spl0_22
    | ~ spl0_34
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1040,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1039,f531]) ).

fof(f1039,plain,
    ( ~ c3_1(a826)
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1035,f987]) ).

fof(f987,plain,
    ( ~ c1_1(a826)
    | ~ spl0_22
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f982,f541]) ).

fof(f982,plain,
    ( ~ c0_1(a826)
    | ~ c1_1(a826)
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(resolution,[],[f313,f531]) ).

fof(f1035,plain,
    ( c1_1(a826)
    | ~ c3_1(a826)
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(resolution,[],[f363,f536]) ).

fof(f1024,plain,
    ( ~ spl0_28
    | ~ spl0_33
    | spl0_108
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1023]) ).

fof(f1023,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_33
    | spl0_108
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1018,f749]) ).

fof(f1018,plain,
    ( ~ c0_1(a842)
    | ~ spl0_28
    | ~ spl0_33
    | spl0_108 ),
    inference(resolution,[],[f1015,f739]) ).

fof(f1015,plain,
    ( ! [X13] :
        ( c2_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_28
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f359,f338]) ).

fof(f1008,plain,
    ( ~ spl0_25
    | ~ spl0_31
    | spl0_78
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1007]) ).

fof(f1007,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_31
    | spl0_78
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1003,f579]) ).

fof(f1003,plain,
    ( c3_1(a878)
    | ~ spl0_25
    | ~ spl0_31
    | ~ spl0_80 ),
    inference(resolution,[],[f1001,f589]) ).

fof(f1001,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c3_1(X9) )
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f350,f324]) ).

fof(f995,plain,
    ( ~ spl0_77
    | ~ spl0_25
    | spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f992,f566,f561,f323,f571]) ).

fof(f571,plain,
    ( spl0_77
  <=> c1_1(a892) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f561,plain,
    ( spl0_75
  <=> c3_1(a892) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f566,plain,
    ( spl0_76
  <=> c2_1(a892) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f992,plain,
    ( ~ c1_1(a892)
    | ~ spl0_25
    | spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f991,f563]) ).

fof(f563,plain,
    ( ~ c3_1(a892)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f991,plain,
    ( c3_1(a892)
    | ~ c1_1(a892)
    | ~ spl0_25
    | ~ spl0_76 ),
    inference(resolution,[],[f324,f568]) ).

fof(f568,plain,
    ( c2_1(a892)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f980,plain,
    ( ~ spl0_20
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f979]) ).

fof(f979,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f978,f531]) ).

fof(f978,plain,
    ( ~ c3_1(a826)
    | ~ spl0_20
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f976,f541]) ).

fof(f976,plain,
    ( ~ c0_1(a826)
    | ~ c3_1(a826)
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(resolution,[],[f305,f536]) ).

fof(f305,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f304,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f974,plain,
    ( ~ spl0_61
    | spl0_152 ),
    inference(avatar_split_clause,[],[f8,f971,f485]) ).

fof(f485,plain,
    ( spl0_61
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f8,plain,
    ( c0_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp1
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp21
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp12
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X31] :
          ( c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp15
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp14
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp26
      | ! [X58] :
          ( ~ c3_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c0_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X67] :
          ( ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp27
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | ~ c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp26
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c0_1(X88)
          | c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp1
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp21
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp12
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X31] :
          ( c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp15
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp14
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp26
      | ! [X58] :
          ( ~ c3_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c0_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X67] :
          ( ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp27
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | ~ c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp26
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c0_1(X88)
          | c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp8
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp2
      | hskp1
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp15
      | hskp14
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp7
      | hskp14
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp19
      | hskp29
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp22
      | hskp1
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp23
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp15
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp22
      | hskp14
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp13
      | hskp21
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) ) )
    & ( hskp20
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp19
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp18
      | hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp17
      | hskp12
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp3
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c1_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp9
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c2_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp16
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c2_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c2_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp27
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp6
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c3_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp8
      | hskp15
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp13
      | hskp14
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c1_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp9
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp2
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp6
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c0_1(X53)
            | c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp26
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c0_1(X55)
            | c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp11
      | hskp10
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp28
      | hskp26
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | c2_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | c2_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp9
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c0_1(X65)
            | c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp8
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c3_1(X67)
            | c2_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp4
      | hskp7
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp6
      | hskp27
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp5
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c3_1(X71)
            | c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp4
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp2
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c1_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp3
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c1_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c1_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp4
      | hskp3
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c1_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp0
      | hskp26
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp2
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c0_1(X86)
            | c3_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp1
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c2_1(X88)
            | c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp0
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c1_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp19
          | hskp16
          | hskp13 )
        & ( hskp13
          | hskp5
          | hskp7 )
        & ( hskp5
          | hskp25
          | hskp23 )
        & ( hskp15
          | hskp17
          | hskp27 )
        & ( hskp9
          | hskp18
          | hskp27 )
        & ( hskp24
          | hskp14 )
        & ( hskp11
          | hskp12
          | hskp14 )
        & ( hskp20
          | hskp24
          | hskp28 )
        & ( hskp3
          | hskp23
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp8
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp2
          | hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp15
          | hskp14
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp7
          | hskp14
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp19
          | hskp29
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp22
          | hskp1
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp23
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp15
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp22
          | hskp14
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp13
          | hskp21
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) ) )
        & ( hskp20
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp19
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp18
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp17
          | hskp12
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp3
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp9
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c2_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp16
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c2_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp27
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp6
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp8
          | hskp15
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | hskp14
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c1_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp9
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp2
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp6
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp26
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp11
          | hskp10
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp28
          | hskp26
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c2_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp8
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | hskp7
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp6
          | hskp27
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp5
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp2
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp3
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp4
          | hskp3
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp0
          | hskp26
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp0
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( ( c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a833)
            & c1_1(a833)
            & c0_1(a833)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a826)
            & c2_1(a826)
            & c0_1(a826)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a818)
            & c1_1(a818)
            & c0_1(a818)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a892)
            & c2_1(a892)
            & c1_1(a892)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a878)
            & ~ c0_1(a878)
            & c1_1(a878)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a862)
            & c3_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a860)
            & ~ c1_1(a860)
            & ~ c0_1(a860)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a857)
            & ~ c2_1(a857)
            & c0_1(a857)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a856)
            & ~ c1_1(a856)
            & c3_1(a856)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a855)
            & ~ c1_1(a855)
            & ~ c0_1(a855)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a854)
            & ~ c0_1(a854)
            & c1_1(a854)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a852)
            & ~ c2_1(a852)
            & c1_1(a852)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a848)
            & c3_1(a848)
            & c2_1(a848)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a844)
            & ~ c1_1(a844)
            & c2_1(a844)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a842)
            & c1_1(a842)
            & c0_1(a842)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a839)
            & c3_1(a839)
            & c1_1(a839)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a838)
            & c2_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a835)
            & c3_1(a835)
            & c2_1(a835)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a834)
            & c2_1(a834)
            & c0_1(a834)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a831)
            & ~ c0_1(a831)
            & c3_1(a831)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a830)
            & ~ c2_1(a830)
            & ~ c0_1(a830)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a828)
            & ~ c1_1(a828)
            & c0_1(a828)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a827)
            & c2_1(a827)
            & c1_1(a827)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a825)
            & c3_1(a825)
            & c1_1(a825)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a821)
            & ~ c0_1(a821)
            & c2_1(a821)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a820)
            & ~ c1_1(a820)
            & c0_1(a820)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a817)
            & ~ c0_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a816)
            & c3_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a815)
            & c1_1(a815)
            & c0_1(a815)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp16
          | hskp13 )
        & ( hskp13
          | hskp5
          | hskp7 )
        & ( hskp5
          | hskp25
          | hskp23 )
        & ( hskp15
          | hskp17
          | hskp27 )
        & ( hskp9
          | hskp18
          | hskp27 )
        & ( hskp24
          | hskp14 )
        & ( hskp11
          | hskp12
          | hskp14 )
        & ( hskp20
          | hskp24
          | hskp28 )
        & ( hskp3
          | hskp23
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp8
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp2
          | hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp15
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp7
          | hskp14
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp29
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp19
          | hskp29
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp22
          | hskp1
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp23
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp15
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp22
          | hskp14
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp13
          | hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp20
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp18
          | hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp17
          | hskp12
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp3
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp9
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp27
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp6
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp8
          | hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp9
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp2
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | hskp12
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp26
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp10
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp28
          | hskp26
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp8
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp4
          | hskp7
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp6
          | hskp27
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp5
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp4
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp2
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp3
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp4
          | hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp0
          | hskp26
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a833)
            & c1_1(a833)
            & c0_1(a833)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a826)
            & c2_1(a826)
            & c0_1(a826)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a818)
            & c1_1(a818)
            & c0_1(a818)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a892)
            & c2_1(a892)
            & c1_1(a892)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a878)
            & ~ c0_1(a878)
            & c1_1(a878)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a862)
            & c3_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a860)
            & ~ c1_1(a860)
            & ~ c0_1(a860)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a857)
            & ~ c2_1(a857)
            & c0_1(a857)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a856)
            & ~ c1_1(a856)
            & c3_1(a856)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a855)
            & ~ c1_1(a855)
            & ~ c0_1(a855)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a854)
            & ~ c0_1(a854)
            & c1_1(a854)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a852)
            & ~ c2_1(a852)
            & c1_1(a852)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a848)
            & c3_1(a848)
            & c2_1(a848)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a844)
            & ~ c1_1(a844)
            & c2_1(a844)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a842)
            & c1_1(a842)
            & c0_1(a842)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a839)
            & c3_1(a839)
            & c1_1(a839)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a838)
            & c2_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a835)
            & c3_1(a835)
            & c2_1(a835)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a834)
            & c2_1(a834)
            & c0_1(a834)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a831)
            & ~ c0_1(a831)
            & c3_1(a831)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a830)
            & ~ c2_1(a830)
            & ~ c0_1(a830)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a828)
            & ~ c1_1(a828)
            & c0_1(a828)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a827)
            & c2_1(a827)
            & c1_1(a827)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a825)
            & c3_1(a825)
            & c1_1(a825)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a821)
            & ~ c0_1(a821)
            & c2_1(a821)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a820)
            & ~ c1_1(a820)
            & c0_1(a820)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a817)
            & ~ c0_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a816)
            & c3_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a815)
            & c1_1(a815)
            & c0_1(a815)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp19
        | hskp16
        | hskp13 )
      & ( hskp13
        | hskp5
        | hskp7 )
      & ( hskp5
        | hskp25
        | hskp23 )
      & ( hskp15
        | hskp17
        | hskp27 )
      & ( hskp9
        | hskp18
        | hskp27 )
      & ( hskp24
        | hskp14 )
      & ( hskp11
        | hskp12
        | hskp14 )
      & ( hskp20
        | hskp24
        | hskp28 )
      & ( hskp3
        | hskp23
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp8
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp2
        | hskp1
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp15
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp7
        | hskp14
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c1_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp29
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp19
        | hskp29
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp22
        | hskp1
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp23
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp15
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp22
        | hskp14
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp13
        | hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c0_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp20
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp19
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp18
        | hskp3
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp17
        | hskp12
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp3
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp9
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c0_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp27
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp6
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | ~ c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c3_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp8
        | hskp15
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp9
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp2
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp13
        | hskp12
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c0_1(X38)
              | c3_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp26
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp10
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp28
        | hskp26
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c1_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c0_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp8
        | ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | c3_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp4
        | hskp7
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp6
        | hskp27
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp5
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c3_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp4
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp2
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c2_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp3
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp4
        | hskp3
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c3_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp0
        | hskp26
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c0_1(X5)
              | c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a865)
          & c2_1(a865)
          & c1_1(a865)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a833)
          & c1_1(a833)
          & c0_1(a833)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a826)
          & c2_1(a826)
          & c0_1(a826)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c2_1(a818)
          & c1_1(a818)
          & c0_1(a818)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a892)
          & c2_1(a892)
          & c1_1(a892)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a878)
          & ~ c0_1(a878)
          & c1_1(a878)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a862)
          & c3_1(a862)
          & c0_1(a862)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a860)
          & ~ c1_1(a860)
          & ~ c0_1(a860)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a857)
          & ~ c2_1(a857)
          & c0_1(a857)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a856)
          & ~ c1_1(a856)
          & c3_1(a856)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a855)
          & ~ c1_1(a855)
          & ~ c0_1(a855)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a854)
          & ~ c0_1(a854)
          & c1_1(a854)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a852)
          & ~ c2_1(a852)
          & c1_1(a852)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a848)
          & c3_1(a848)
          & c2_1(a848)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a844)
          & ~ c1_1(a844)
          & c2_1(a844)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a842)
          & c1_1(a842)
          & c0_1(a842)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a839)
          & c3_1(a839)
          & c1_1(a839)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a838)
          & c2_1(a838)
          & c0_1(a838)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c0_1(a835)
          & c3_1(a835)
          & c2_1(a835)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a834)
          & c2_1(a834)
          & c0_1(a834)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a831)
          & ~ c0_1(a831)
          & c3_1(a831)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a830)
          & ~ c2_1(a830)
          & ~ c0_1(a830)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a828)
          & ~ c1_1(a828)
          & c0_1(a828)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a827)
          & c2_1(a827)
          & c1_1(a827)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a825)
          & c3_1(a825)
          & c1_1(a825)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a821)
          & ~ c0_1(a821)
          & c2_1(a821)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a820)
          & ~ c1_1(a820)
          & c0_1(a820)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a817)
          & ~ c0_1(a817)
          & c2_1(a817)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a816)
          & c3_1(a816)
          & c0_1(a816)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a815)
          & c1_1(a815)
          & c0_1(a815)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f969,plain,
    ( ~ spl0_61
    | spl0_151 ),
    inference(avatar_split_clause,[],[f9,f966,f485]) ).

fof(f9,plain,
    ( c1_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( ~ spl0_61
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f10,f961,f485]) ).

fof(f10,plain,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f958,plain,
    ( ~ spl0_26
    | spl0_149 ),
    inference(avatar_split_clause,[],[f12,f955,f326]) ).

fof(f326,plain,
    ( spl0_26
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f12,plain,
    ( c0_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( ~ spl0_26
    | spl0_148 ),
    inference(avatar_split_clause,[],[f13,f950,f326]) ).

fof(f13,plain,
    ( c3_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_26
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f14,f945,f326]) ).

fof(f14,plain,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_27
    | spl0_146 ),
    inference(avatar_split_clause,[],[f16,f939,f330]) ).

fof(f330,plain,
    ( spl0_27
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f16,plain,
    ( c2_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_27
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f17,f934,f330]) ).

fof(f17,plain,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_27
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f18,f929,f330]) ).

fof(f18,plain,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f926,plain,
    ( ~ spl0_21
    | spl0_143 ),
    inference(avatar_split_clause,[],[f20,f923,f307]) ).

fof(f307,plain,
    ( spl0_21
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f20,plain,
    ( c0_1(a820)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_21
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f21,f918,f307]) ).

fof(f21,plain,
    ( ~ c1_1(a820)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_21
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f22,f913,f307]) ).

fof(f22,plain,
    ( ~ c3_1(a820)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_57
    | spl0_140 ),
    inference(avatar_split_clause,[],[f24,f907,f464]) ).

fof(f464,plain,
    ( spl0_57
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f24,plain,
    ( c2_1(a821)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_57
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f25,f902,f464]) ).

fof(f25,plain,
    ( ~ c0_1(a821)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_57
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f26,f897,f464]) ).

fof(f26,plain,
    ( ~ c1_1(a821)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_5
    | spl0_19 ),
    inference(avatar_split_clause,[],[f27,f300,f237]) ).

fof(f237,plain,
    ( spl0_5
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f300,plain,
    ( spl0_19
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_5
    | spl0_137 ),
    inference(avatar_split_clause,[],[f28,f891,f237]) ).

fof(f28,plain,
    ( c1_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_5
    | spl0_136 ),
    inference(avatar_split_clause,[],[f29,f886,f237]) ).

fof(f29,plain,
    ( c3_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_5
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f30,f881,f237]) ).

fof(f30,plain,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( ~ spl0_42
    | spl0_134 ),
    inference(avatar_split_clause,[],[f32,f875,f398]) ).

fof(f398,plain,
    ( spl0_42
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f32,plain,
    ( c1_1(a827)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_42
    | spl0_133 ),
    inference(avatar_split_clause,[],[f33,f870,f398]) ).

fof(f33,plain,
    ( c2_1(a827)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( ~ spl0_42
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f34,f865,f398]) ).

fof(f34,plain,
    ( ~ c0_1(a827)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_4
    | spl0_19 ),
    inference(avatar_split_clause,[],[f35,f300,f233]) ).

fof(f233,plain,
    ( spl0_4
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f35,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_4
    | spl0_131 ),
    inference(avatar_split_clause,[],[f36,f859,f233]) ).

fof(f36,plain,
    ( c0_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_4
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f37,f854,f233]) ).

fof(f37,plain,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_4
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f38,f849,f233]) ).

fof(f38,plain,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_24
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f40,f843,f318]) ).

fof(f318,plain,
    ( spl0_24
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f40,plain,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_24
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f41,f838,f318]) ).

fof(f41,plain,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_24
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f42,f833,f318]) ).

fof(f42,plain,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_12
    | spl0_125 ),
    inference(avatar_split_clause,[],[f44,f827,f268]) ).

fof(f268,plain,
    ( spl0_12
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f44,plain,
    ( c3_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_12
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f45,f822,f268]) ).

fof(f45,plain,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_12
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f46,f817,f268]) ).

fof(f46,plain,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_16
    | spl0_119 ),
    inference(avatar_split_clause,[],[f52,f795,f286]) ).

fof(f286,plain,
    ( spl0_16
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f52,plain,
    ( c2_1(a835)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_16
    | spl0_118 ),
    inference(avatar_split_clause,[],[f53,f790,f286]) ).

fof(f53,plain,
    ( c3_1(a835)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_16
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f54,f785,f286]) ).

fof(f54,plain,
    ( ~ c0_1(a835)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_15
    | spl0_116 ),
    inference(avatar_split_clause,[],[f56,f779,f282]) ).

fof(f282,plain,
    ( spl0_15
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f56,plain,
    ( c0_1(a838)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_15
    | spl0_115 ),
    inference(avatar_split_clause,[],[f57,f774,f282]) ).

fof(f57,plain,
    ( c2_1(a838)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_15
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f58,f769,f282]) ).

fof(f58,plain,
    ( ~ c3_1(a838)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f59,f300,f220]) ).

fof(f220,plain,
    ( spl0_1
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f766,plain,
    ( ~ spl0_1
    | spl0_113 ),
    inference(avatar_split_clause,[],[f60,f763,f220]) ).

fof(f60,plain,
    ( c1_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_1
    | spl0_112 ),
    inference(avatar_split_clause,[],[f61,f758,f220]) ).

fof(f61,plain,
    ( c3_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_1
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f62,f753,f220]) ).

fof(f62,plain,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( ~ spl0_13
    | spl0_110 ),
    inference(avatar_split_clause,[],[f64,f747,f273]) ).

fof(f273,plain,
    ( spl0_13
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f64,plain,
    ( c0_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_13
    | spl0_109 ),
    inference(avatar_split_clause,[],[f65,f742,f273]) ).

fof(f65,plain,
    ( c1_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f66,f737,f273]) ).

fof(f66,plain,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_10
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f69,f726,f259]) ).

fof(f259,plain,
    ( spl0_10
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f69,plain,
    ( ~ c1_1(a844)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_10
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f70,f721,f259]) ).

fof(f70,plain,
    ( ~ c3_1(a844)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f718,plain,
    ( ~ spl0_2
    | spl0_104 ),
    inference(avatar_split_clause,[],[f72,f715,f224]) ).

fof(f224,plain,
    ( spl0_2
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f72,plain,
    ( c2_1(a848)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_2
    | spl0_103 ),
    inference(avatar_split_clause,[],[f73,f710,f224]) ).

fof(f73,plain,
    ( c3_1(a848)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_2
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f74,f705,f224]) ).

fof(f74,plain,
    ( ~ c1_1(a848)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f702,plain,
    ( ~ spl0_9
    | spl0_101 ),
    inference(avatar_split_clause,[],[f76,f699,f255]) ).

fof(f255,plain,
    ( spl0_9
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f76,plain,
    ( c1_1(a852)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( ~ spl0_9
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f77,f694,f255]) ).

fof(f77,plain,
    ( ~ c2_1(a852)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_9
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f78,f689,f255]) ).

fof(f78,plain,
    ( ~ c3_1(a852)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f665,plain,
    ( ~ spl0_3
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f85,f662,f228]) ).

fof(f228,plain,
    ( spl0_3
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f85,plain,
    ( ~ c1_1(a855)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( ~ spl0_3
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f86,f657,f228]) ).

fof(f86,plain,
    ( ~ c3_1(a855)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( ~ spl0_18
    | spl0_92 ),
    inference(avatar_split_clause,[],[f88,f651,f295]) ).

fof(f295,plain,
    ( spl0_18
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f88,plain,
    ( c3_1(a856)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_18
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f89,f646,f295]) ).

fof(f89,plain,
    ( ~ c1_1(a856)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f644,plain,
    ( ~ spl0_18
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f90,f641,f295]) ).

fof(f90,plain,
    ( ~ c2_1(a856)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( ~ spl0_36
    | spl0_89 ),
    inference(avatar_split_clause,[],[f92,f635,f369]) ).

fof(f369,plain,
    ( spl0_36
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f92,plain,
    ( c0_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_36
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f93,f630,f369]) ).

fof(f93,plain,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_36
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f94,f625,f369]) ).

fof(f94,plain,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_32
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f96,f619,f352]) ).

fof(f352,plain,
    ( spl0_32
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f96,plain,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f97,f614,f352]) ).

fof(f97,plain,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_32
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f98,f609,f352]) ).

fof(f98,plain,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_6
    | spl0_83 ),
    inference(avatar_split_clause,[],[f100,f603,f242]) ).

fof(f242,plain,
    ( spl0_6
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f100,plain,
    ( c0_1(a862)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_6
    | spl0_82 ),
    inference(avatar_split_clause,[],[f101,f598,f242]) ).

fof(f101,plain,
    ( c3_1(a862)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl0_6
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f102,f593,f242]) ).

fof(f102,plain,
    ( ~ c1_1(a862)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( ~ spl0_14
    | spl0_80 ),
    inference(avatar_split_clause,[],[f104,f587,f277]) ).

fof(f277,plain,
    ( spl0_14
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f104,plain,
    ( c1_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_14
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f105,f582,f277]) ).

fof(f105,plain,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_14
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f106,f577,f277]) ).

fof(f106,plain,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_7
    | spl0_77 ),
    inference(avatar_split_clause,[],[f108,f571,f246]) ).

fof(f246,plain,
    ( spl0_7
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f108,plain,
    ( c1_1(a892)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_7
    | spl0_76 ),
    inference(avatar_split_clause,[],[f109,f566,f246]) ).

fof(f109,plain,
    ( c2_1(a892)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_7
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f110,f561,f246]) ).

fof(f110,plain,
    ( ~ c3_1(a892)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( ~ spl0_8
    | spl0_71 ),
    inference(avatar_split_clause,[],[f116,f539,f251]) ).

fof(f251,plain,
    ( spl0_8
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f116,plain,
    ( c0_1(a826)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( ~ spl0_8
    | spl0_70 ),
    inference(avatar_split_clause,[],[f117,f534,f251]) ).

fof(f117,plain,
    ( c2_1(a826)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f532,plain,
    ( ~ spl0_8
    | spl0_69 ),
    inference(avatar_split_clause,[],[f118,f529,f251]) ).

fof(f118,plain,
    ( c3_1(a826)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( ~ spl0_29
    | spl0_65 ),
    inference(avatar_split_clause,[],[f124,f507,f340]) ).

fof(f340,plain,
    ( spl0_29
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f124,plain,
    ( c1_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( ~ spl0_29
    | spl0_64 ),
    inference(avatar_split_clause,[],[f125,f502,f340]) ).

fof(f125,plain,
    ( c2_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( ~ spl0_29
    | spl0_63 ),
    inference(avatar_split_clause,[],[f126,f497,f340]) ).

fof(f126,plain,
    ( c3_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_62
    | ~ spl0_19
    | spl0_41
    | spl0_61 ),
    inference(avatar_split_clause,[],[f187,f485,f394,f300,f491]) ).

fof(f187,plain,
    ! [X90,X91] :
      ( hskp0
      | c3_1(X90)
      | c2_1(X90)
      | c1_1(X90)
      | ~ ndr1_0
      | c2_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ! [X90,X91] :
      ( hskp0
      | c3_1(X90)
      | c2_1(X90)
      | c1_1(X90)
      | ~ ndr1_0
      | c2_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( spl0_62
    | ~ spl0_19
    | spl0_50
    | spl0_27 ),
    inference(avatar_split_clause,[],[f189,f330,f433,f300,f491]) ).

fof(f189,plain,
    ! [X86,X87] :
      ( hskp2
      | ~ c2_1(X86)
      | ~ c0_1(X86)
      | c3_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | c1_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f129]) ).

fof(f129,plain,
    ! [X86,X87] :
      ( hskp2
      | ~ c2_1(X86)
      | ~ c0_1(X86)
      | c3_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | c1_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_60
    | ~ spl0_19
    | spl0_58 ),
    inference(avatar_split_clause,[],[f190,f472,f300,f482]) ).

fof(f190,plain,
    ! [X84,X85] :
      ( ~ c3_1(X84)
      | c1_1(X84)
      | c0_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | c1_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X84,X85] :
      ( ~ c3_1(X84)
      | c1_1(X84)
      | c0_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( spl0_59
    | spl0_44
    | ~ spl0_19
    | spl0_45 ),
    inference(avatar_split_clause,[],[f191,f413,f300,f408,f477]) ).

fof(f191,plain,
    ! [X82,X80,X81] :
      ( ~ c1_1(X80)
      | ~ c0_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | ~ c1_1(X81)
      | c0_1(X81)
      | ~ c2_1(X82)
      | c1_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X82,X80,X81] :
      ( ~ c1_1(X80)
      | ~ c0_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | ~ c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | ~ c2_1(X82)
      | c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( spl0_58
    | ~ spl0_19
    | spl0_46
    | spl0_21 ),
    inference(avatar_split_clause,[],[f192,f307,f417,f300,f472]) ).

fof(f192,plain,
    ! [X78,X77] :
      ( hskp3
      | ~ c2_1(X77)
      | ~ c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c1_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X78,X77] :
      ( hskp3
      | ~ c2_1(X77)
      | ~ c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c1_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_58
    | ~ spl0_19
    | spl0_39
    | spl0_27 ),
    inference(avatar_split_clause,[],[f193,f330,f384,f300,f472]) ).

fof(f193,plain,
    ! [X76,X75] :
      ( hskp2
      | ~ c3_1(X75)
      | c2_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c1_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X76,X75] :
      ( hskp2
      | ~ c3_1(X75)
      | c2_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c1_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( spl0_56
    | ~ spl0_19
    | spl0_33
    | spl0_5 ),
    inference(avatar_split_clause,[],[f195,f237,f358,f300,f461]) ).

fof(f195,plain,
    ! [X72,X71] :
      ( hskp5
      | ~ c0_1(X71)
      | c3_1(X71)
      | c2_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c2_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X72,X71] :
      ( hskp5
      | ~ c0_1(X71)
      | c3_1(X71)
      | c2_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( ~ spl0_19
    | spl0_56
    | spl0_8
    | spl0_42 ),
    inference(avatar_split_clause,[],[f138,f398,f251,f461,f300]) ).

fof(f138,plain,
    ! [X70] :
      ( hskp6
      | hskp27
      | c3_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( ~ spl0_19
    | spl0_56
    | spl0_4
    | spl0_57 ),
    inference(avatar_split_clause,[],[f139,f464,f233,f461,f300]) ).

fof(f139,plain,
    ! [X69] :
      ( hskp4
      | hskp7
      | c3_1(X69)
      | c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( spl0_55
    | ~ spl0_19
    | spl0_33
    | spl0_24 ),
    inference(avatar_split_clause,[],[f196,f318,f358,f300,f455]) ).

fof(f196,plain,
    ! [X68,X67] :
      ( hskp8
      | ~ c0_1(X67)
      | c3_1(X67)
      | c2_1(X67)
      | ~ ndr1_0
      | ~ c1_1(X68)
      | c2_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X68,X67] :
      ( hskp8
      | ~ c0_1(X67)
      | c3_1(X67)
      | c2_1(X67)
      | ~ ndr1_0
      | ~ c1_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_52
    | spl0_35
    | ~ spl0_19
    | spl0_54 ),
    inference(avatar_split_clause,[],[f199,f451,f300,f366,f442]) ).

fof(f199,plain,
    ! [X59,X60,X61] :
      ( ~ c3_1(X59)
      | ~ c1_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ c3_1(X61)
      | c2_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X59,X60,X61] :
      ( ~ c3_1(X59)
      | ~ c1_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | c2_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( spl0_49
    | ~ spl0_19
    | spl0_50
    | spl0_42 ),
    inference(avatar_split_clause,[],[f201,f398,f433,f300,f429]) ).

fof(f201,plain,
    ! [X54,X53] :
      ( hskp6
      | ~ c2_1(X53)
      | ~ c0_1(X53)
      | c3_1(X53)
      | ~ ndr1_0
      | ~ c1_1(X54)
      | c3_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X54,X53] :
      ( hskp6
      | ~ c2_1(X53)
      | ~ c0_1(X53)
      | c3_1(X53)
      | ~ ndr1_0
      | ~ c1_1(X54)
      | c3_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( spl0_47
    | spl0_41
    | ~ spl0_19
    | spl0_25 ),
    inference(avatar_split_clause,[],[f202,f323,f300,f394,f421]) ).

fof(f202,plain,
    ! [X50,X51,X49] :
      ( ~ c2_1(X49)
      | ~ c1_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ c2_1(X51)
      | c3_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X50,X51,X49] :
      ( ~ c2_1(X49)
      | ~ c1_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c2_1(X51)
      | c3_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_46
    | spl0_39
    | ~ spl0_19
    | spl0_30 ),
    inference(avatar_split_clause,[],[f204,f345,f300,f384,f417]) ).

fof(f204,plain,
    ! [X46,X44,X45] :
      ( ~ c1_1(X44)
      | ~ c0_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ c2_1(X46)
      | ~ c1_1(X46)
      | c0_1(X46) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X46,X44,X45] :
      ( ~ c1_1(X44)
      | ~ c0_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | ~ c1_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f415,plain,
    ( spl0_44
    | ~ spl0_19
    | spl0_45
    | spl0_12 ),
    inference(avatar_split_clause,[],[f205,f268,f413,f300,f408]) ).

fof(f205,plain,
    ! [X42,X43] :
      ( hskp9
      | ~ c1_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c1_1(X43)
      | c0_1(X43) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X42,X43] :
      ( hskp9
      | ~ c1_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c1_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f411,plain,
    ( ~ spl0_19
    | spl0_44
    | spl0_13
    | spl0_1 ),
    inference(avatar_split_clause,[],[f153,f220,f273,f408,f300]) ).

fof(f153,plain,
    ! [X41] :
      ( hskp13
      | hskp14
      | ~ c3_1(X41)
      | ~ c1_1(X41)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_43
    | spl0_37
    | ~ spl0_19
    | spl0_31 ),
    inference(avatar_split_clause,[],[f206,f349,f300,f375,f404]) ).

fof(f206,plain,
    ! [X38,X39,X37] :
      ( ~ c1_1(X37)
      | c3_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38)
      | ~ c3_1(X39)
      | ~ c2_1(X39)
      | c0_1(X39) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X38,X39,X37] :
      ( ~ c1_1(X37)
      | c3_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | ~ c2_1(X39)
      | c0_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f402,plain,
    ( spl0_41
    | spl0_40
    | ~ spl0_19
    | spl0_23 ),
    inference(avatar_split_clause,[],[f207,f315,f300,f388,f394]) ).

fof(f207,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | c3_1(X36)
      | c2_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X36,X34,X35] :
      ( ~ c3_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0
      | c3_1(X36)
      | c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f401,plain,
    ( spl0_41
    | ~ spl0_19
    | spl0_34
    | spl0_42 ),
    inference(avatar_split_clause,[],[f208,f398,f362,f300,f394]) ).

fof(f208,plain,
    ! [X32,X33] :
      ( hskp6
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | c3_1(X33)
      | c2_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X32,X33] :
      ( hskp6
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( ~ spl0_19
    | spl0_41
    | spl0_8 ),
    inference(avatar_split_clause,[],[f158,f251,f394,f300]) ).

fof(f158,plain,
    ! [X31] :
      ( hskp27
      | c3_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f392,plain,
    ( spl0_40
    | spl0_39
    | ~ spl0_19
    | spl0_22 ),
    inference(avatar_split_clause,[],[f209,f312,f300,f384,f388]) ).

fof(f209,plain,
    ! [X28,X29,X30] :
      ( ~ c3_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ c0_1(X30)
      | c2_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X28,X29,X30] :
      ( ~ c3_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | c2_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( spl0_40
    | ~ spl0_19
    | spl0_34
    | spl0_2 ),
    inference(avatar_split_clause,[],[f210,f224,f362,f300,f388]) ).

fof(f210,plain,
    ! [X26,X27] :
      ( hskp16
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | c2_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X26,X27] :
      ( hskp16
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | c2_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( spl0_40
    | ~ spl0_19
    | spl0_28
    | spl0_12 ),
    inference(avatar_split_clause,[],[f211,f268,f337,f300,f388]) ).

fof(f211,plain,
    ! [X24,X25] :
      ( hskp9
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | c2_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X24,X25] :
      ( hskp9
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | c2_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_39
    | ~ spl0_19
    | spl0_22
    | spl0_21 ),
    inference(avatar_split_clause,[],[f212,f307,f312,f300,f384]) ).

fof(f212,plain,
    ! [X22,X23] :
      ( hskp3
      | ~ c3_1(X22)
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | c2_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X22,X23] :
      ( hskp3
      | ~ c3_1(X22)
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | c2_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f382,plain,
    ( ~ spl0_19
    | spl0_38
    | spl0_15
    | spl0_9 ),
    inference(avatar_split_clause,[],[f163,f255,f282,f379,f300]) ).

fof(f163,plain,
    ! [X21] :
      ( hskp17
      | hskp12
      | ~ c0_1(X21)
      | c3_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f377,plain,
    ( spl0_37
    | ~ spl0_19
    | spl0_30
    | spl0_3 ),
    inference(avatar_split_clause,[],[f213,f228,f345,f300,f375]) ).

fof(f213,plain,
    ! [X18,X19] :
      ( hskp19
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X18,X19] :
      ( hskp19
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( spl0_35
    | ~ spl0_19
    | spl0_34
    | spl0_18 ),
    inference(avatar_split_clause,[],[f214,f295,f362,f300,f366]) ).

fof(f214,plain,
    ! [X16,X17] :
      ( hskp20
      | ~ c3_1(X16)
      | ~ c2_1(X16)
      | c1_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c0_1(X17)
      | c1_1(X17) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X16,X17] :
      ( hskp20
      | ~ c3_1(X16)
      | ~ c2_1(X16)
      | c1_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c0_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f372,plain,
    ( ~ spl0_19
    | spl0_35
    | spl0_36
    | spl0_1 ),
    inference(avatar_split_clause,[],[f167,f220,f369,f366,f300]) ).

fof(f167,plain,
    ! [X15] :
      ( hskp13
      | hskp21
      | ~ c3_1(X15)
      | ~ c0_1(X15)
      | c1_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f364,plain,
    ( ~ spl0_19
    | spl0_34
    | spl0_13
    | spl0_32 ),
    inference(avatar_split_clause,[],[f168,f352,f273,f362,f300]) ).

fof(f168,plain,
    ! [X14] :
      ( hskp22
      | hskp14
      | ~ c3_1(X14)
      | ~ c2_1(X14)
      | c1_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f360,plain,
    ( spl0_33
    | ~ spl0_19
    | spl0_22
    | spl0_10 ),
    inference(avatar_split_clause,[],[f215,f259,f312,f300,f358]) ).

fof(f215,plain,
    ! [X12,X13] :
      ( hskp15
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | c3_1(X13)
      | c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X12,X13] :
      ( hskp15
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f356,plain,
    ( spl0_31
    | ~ spl0_19
    | spl0_28
    | spl0_6 ),
    inference(avatar_split_clause,[],[f216,f242,f337,f300,f349]) ).

fof(f216,plain,
    ! [X10,X11] :
      ( hskp23
      | ~ c3_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | c3_1(X11)
      | c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X10,X11] :
      ( hskp23
      | ~ c3_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | c3_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( ~ spl0_19
    | spl0_31
    | spl0_26
    | spl0_32 ),
    inference(avatar_split_clause,[],[f171,f352,f326,f349,f300]) ).

fof(f171,plain,
    ! [X9] :
      ( hskp22
      | hskp1
      | ~ c1_1(X9)
      | c3_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f343,plain,
    ( spl0_28
    | ~ spl0_19
    | spl0_22
    | spl0_29 ),
    inference(avatar_split_clause,[],[f217,f340,f312,f300,f337]) ).

fof(f217,plain,
    ! [X6,X7] :
      ( hskp29
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c0_1(X7)
      | c2_1(X7) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X6,X7] :
      ( hskp29
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c0_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f335,plain,
    ( ~ spl0_19
    | spl0_25
    | spl0_13
    | spl0_4 ),
    inference(avatar_split_clause,[],[f174,f233,f273,f323,f300]) ).

fof(f174,plain,
    ! [X5] :
      ( hskp7
      | hskp14
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f333,plain,
    ( ~ spl0_19
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f176,f330,f326,f323,f300]) ).

fof(f176,plain,
    ! [X3] :
      ( hskp2
      | hskp1
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f321,plain,
    ( spl0_22
    | ~ spl0_19
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f218,f318,f315,f300,f312]) ).

fof(f218,plain,
    ! [X2,X1] :
      ( hskp8
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X2,X1] :
      ( hskp8
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f310,plain,
    ( ~ spl0_19
    | spl0_20
    | spl0_6
    | spl0_21 ),
    inference(avatar_split_clause,[],[f178,f307,f242,f304,f300]) ).

fof(f178,plain,
    ! [X0] :
      ( hskp3
      | hskp23
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f289,plain,
    ( spl0_13
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f180,f286,f282,f273]) ).

fof(f180,plain,
    ( hskp11
    | hskp12
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f280,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f181,f277,f273]) ).

fof(f181,plain,
    ( hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f249,plain,
    ( spl0_6
    | spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f184,f237,f246,f242]) ).

fof(f184,plain,
    ( hskp5
    | hskp25
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f240,plain,
    ( spl0_4
    | spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f185,f220,f237,f233]) ).

fof(f185,plain,
    ( hskp13
    | hskp5
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.22  % Problem    : SYN452+1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.24  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.49  % Computer : n017.cluster.edu
% 0.14/0.49  % Model    : x86_64 x86_64
% 0.14/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.49  % Memory   : 8042.1875MB
% 0.14/0.49  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.49  % CPULimit   : 300
% 0.14/0.49  % WCLimit    : 300
% 0.14/0.49  % DateTime   : Fri May  3 17:56:38 EDT 2024
% 0.14/0.49  % CPUTime    : 
% 0.14/0.49  % (30115)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.51  % (30116)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.51  % (30120)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.51  % (30121)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.51  % (30119)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.51  % (30118)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)
% 0.14/0.51  % (30117)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.51  % (30122)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)
% 0.14/0.52  Detected minimum model sizes of [1]
% 0.14/0.52  Detected maximum model sizes of [30]
% 0.14/0.52  TRYING [1]
% 0.14/0.52  Detected minimum model sizes of [1]
% 0.14/0.52  Detected maximum model sizes of [30]
% 0.14/0.52  TRYING [1]
% 0.14/0.52  TRYING [2]
% 0.14/0.52  TRYING [2]
% 0.14/0.52  Detected minimum model sizes of [1]
% 0.14/0.52  Detected maximum model sizes of [30]
% 0.14/0.52  TRYING [1]
% 0.14/0.52  TRYING [3]
% 0.14/0.52  TRYING [3]
% 0.14/0.52  TRYING [2]
% 0.14/0.52  Detected minimum model sizes of [1]
% 0.14/0.52  Detected maximum model sizes of [30]
% 0.14/0.52  TRYING [1]
% 0.14/0.52  TRYING [2]
% 0.14/0.52  TRYING [3]
% 0.14/0.52  TRYING [4]
% 0.14/0.53  TRYING [3]
% 0.14/0.53  TRYING [4]
% 0.14/0.53  TRYING [4]
% 0.14/0.53  TRYING [4]
% 0.14/0.54  TRYING [5]
% 0.14/0.54  TRYING [5]
% 0.14/0.55  TRYING [5]
% 0.14/0.55  TRYING [5]
% 0.14/0.56  % (30121)First to succeed.
% 0.14/0.57  % (30118)Also succeeded, but the first one will report.
% 0.14/0.58  % (30121)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30115"
% 0.14/0.58  % (30121)Refutation found. Thanks to Tanya!
% 0.14/0.58  % SZS status Theorem for theBenchmark
% 0.14/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.59  % (30121)------------------------------
% 0.14/0.59  % (30121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.59  % (30121)Termination reason: Refutation
% 0.14/0.59  
% 0.14/0.59  % (30121)Memory used [KB]: 2177
% 0.14/0.59  % (30121)Time elapsed: 0.066 s
% 0.14/0.59  % (30121)Instructions burned: 117 (million)
% 0.14/0.59  % (30115)Success in time 0.081 s
%------------------------------------------------------------------------------