TSTP Solution File: SYN502+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN502+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n011.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 : Sat Sep  2 14:26:34 EDT 2023

% Result   : Theorem 0.24s 0.50s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  123
% Syntax   : Number of formulae    :  668 (   1 unt;   0 def)
%            Number of atoms       : 6817 (   0 equ)
%            Maximal formula atoms :  747 (  10 avg)
%            Number of connectives : 9107 (2958   ~;4317   |;1242   &)
%                                         ( 122 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  160 ( 159 usr; 156 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  881 (; 881   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2997,plain,
    $false,
    inference(avatar_sat_refutation,[],[f297,f323,f335,f343,f359,f367,f375,f380,f385,f389,f393,f394,f406,f418,f423,f435,f436,f440,f441,f445,f447,f448,f456,f457,f464,f465,f466,f470,f472,f473,f477,f478,f479,f484,f488,f489,f494,f500,f506,f563,f568,f573,f595,f600,f605,f611,f616,f621,f622,f627,f632,f637,f643,f648,f653,f659,f664,f669,f675,f680,f685,f707,f712,f717,f718,f723,f728,f733,f739,f744,f749,f755,f760,f765,f771,f776,f781,f787,f797,f803,f808,f813,f867,f872,f877,f883,f888,f893,f899,f904,f909,f947,f952,f957,f979,f984,f989,f995,f1000,f1005,f1011,f1016,f1021,f1032,f1037,f1038,f1077,f1096,f1098,f1104,f1113,f1126,f1132,f1147,f1168,f1169,f1189,f1216,f1258,f1317,f1344,f1359,f1387,f1434,f1505,f1551,f1580,f1608,f1677,f1708,f1745,f1775,f1825,f1838,f1841,f1856,f1879,f1915,f1927,f1937,f1974,f1978,f2124,f2145,f2174,f2218,f2224,f2272,f2274,f2287,f2329,f2355,f2357,f2397,f2462,f2518,f2526,f2550,f2607,f2631,f2636,f2761,f2792,f2796,f2863,f2873,f2957,f2961,f2975,f2995]) ).

fof(f2995,plain,
    ( ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47
    | spl0_111
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f2994]) ).

fof(f2994,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47
    | spl0_111
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2990,f1871]) ).

fof(f1871,plain,
    ( c0_1(a259)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1870]) ).

fof(f1870,plain,
    ( spl0_171
  <=> c0_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2990,plain,
    ( ~ c0_1(a259)
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47
    | spl0_111 ),
    inference(resolution,[],[f2974,f807]) ).

fof(f807,plain,
    ( ~ c2_1(a259)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_111
  <=> c2_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2974,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f405,f2962]) ).

fof(f2962,plain,
    ( ! [X44] :
        ( c2_1(X44)
        | c1_1(X44) )
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f460,f444]) ).

fof(f444,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | c2_1(X32) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl0_44
  <=> ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | c2_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f460,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl0_47
  <=> ! [X44] :
        ( c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f405,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | ~ c1_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl0_35
  <=> ! [X18] :
        ( ~ c1_1(X18)
        | c2_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2975,plain,
    ( spl0_79
    | ~ spl0_44
    | ~ spl0_47
    | spl0_78 ),
    inference(avatar_split_clause,[],[f2969,f629,f459,f443,f634]) ).

fof(f634,plain,
    ( spl0_79
  <=> c1_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f629,plain,
    ( spl0_78
  <=> c2_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2969,plain,
    ( c1_1(a322)
    | ~ spl0_44
    | ~ spl0_47
    | spl0_78 ),
    inference(resolution,[],[f2962,f631]) ).

fof(f631,plain,
    ( ~ c2_1(a322)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f2961,plain,
    ( ~ spl0_29
    | ~ spl0_47
    | spl0_77
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f2960]) ).

fof(f2960,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_47
    | spl0_77
    | spl0_78 ),
    inference(subsumption_resolution,[],[f2951,f631]) ).

fof(f2951,plain,
    ( c2_1(a322)
    | ~ spl0_29
    | ~ spl0_47
    | spl0_77 ),
    inference(resolution,[],[f2931,f626]) ).

fof(f626,plain,
    ( ~ c3_1(a322)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl0_77
  <=> c3_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2931,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c2_1(X44) )
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f460,f378]) ).

fof(f378,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c2_1(X8)
        | c3_1(X8) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_29
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c2_1(X8)
        | c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2957,plain,
    ( ~ spl0_29
    | ~ spl0_47
    | ~ spl0_52
    | spl0_107
    | spl0_109 ),
    inference(avatar_contradiction_clause,[],[f2956]) ).

fof(f2956,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_47
    | ~ spl0_52
    | spl0_107
    | spl0_109 ),
    inference(subsumption_resolution,[],[f2944,f2670]) ).

fof(f2670,plain,
    ( ~ c2_1(a263)
    | ~ spl0_52
    | spl0_107
    | spl0_109 ),
    inference(subsumption_resolution,[],[f2660,f796]) ).

fof(f796,plain,
    ( ~ c0_1(a263)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f794,plain,
    ( spl0_109
  <=> c0_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2660,plain,
    ( c0_1(a263)
    | ~ c2_1(a263)
    | ~ spl0_52
    | spl0_107 ),
    inference(resolution,[],[f487,f786]) ).

fof(f786,plain,
    ( ~ c3_1(a263)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f784,plain,
    ( spl0_107
  <=> c3_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f487,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | c0_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f486,plain,
    ( spl0_52
  <=> ! [X63] :
        ( ~ c2_1(X63)
        | c0_1(X63)
        | c3_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2944,plain,
    ( c2_1(a263)
    | ~ spl0_29
    | ~ spl0_47
    | spl0_107 ),
    inference(resolution,[],[f2931,f786]) ).

fof(f2873,plain,
    ( ~ spl0_170
    | ~ spl0_19
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2872,f618,f613,f337,f1862]) ).

fof(f1862,plain,
    ( spl0_170
  <=> c3_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f337,plain,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f613,plain,
    ( spl0_75
  <=> c1_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f618,plain,
    ( spl0_76
  <=> c0_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2872,plain,
    ( ~ c3_1(a237)
    | ~ spl0_19
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2859,f620]) ).

fof(f620,plain,
    ( c0_1(a237)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f2859,plain,
    ( ~ c0_1(a237)
    | ~ c3_1(a237)
    | ~ spl0_19
    | ~ spl0_75 ),
    inference(resolution,[],[f338,f615]) ).

fof(f615,plain,
    ( c1_1(a237)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f338,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f2863,plain,
    ( ~ spl0_19
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2862]) ).

fof(f2862,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2861,f903]) ).

fof(f903,plain,
    ( c3_1(a249)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f901,plain,
    ( spl0_129
  <=> c3_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2861,plain,
    ( ~ c3_1(a249)
    | ~ spl0_19
    | ~ spl0_130
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2852,f908]) ).

fof(f908,plain,
    ( c0_1(a249)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f906,plain,
    ( spl0_130
  <=> c0_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2852,plain,
    ( ~ c0_1(a249)
    | ~ c3_1(a249)
    | ~ spl0_19
    | ~ spl0_161 ),
    inference(resolution,[],[f338,f1102]) ).

fof(f1102,plain,
    ( c1_1(a249)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1101,plain,
    ( spl0_161
  <=> c1_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2796,plain,
    ( ~ spl0_22
    | ~ spl0_40
    | spl0_95
    | ~ spl0_96 ),
    inference(avatar_contradiction_clause,[],[f2795]) ).

fof(f2795,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_40
    | spl0_95
    | ~ spl0_96 ),
    inference(subsumption_resolution,[],[f2785,f727]) ).

fof(f727,plain,
    ( c2_1(a274)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_96
  <=> c2_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2785,plain,
    ( ~ c2_1(a274)
    | ~ spl0_22
    | ~ spl0_40
    | spl0_95 ),
    inference(resolution,[],[f2760,f722]) ).

fof(f722,plain,
    ( ~ c3_1(a274)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f720,plain,
    ( spl0_95
  <=> c3_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2760,plain,
    ( ! [X22] :
        ( c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_22
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f426,f350]) ).

fof(f350,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl0_22
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f426,plain,
    ( ! [X22] :
        ( c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_40
  <=> ! [X22] :
        ( ~ c2_1(X22)
        | c1_1(X22)
        | c3_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2792,plain,
    ( ~ spl0_22
    | ~ spl0_40
    | spl0_122
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2791,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_40
    | spl0_122
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2782,f1882]) ).

fof(f1882,plain,
    ( c2_1(a252)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1881]) ).

fof(f1881,plain,
    ( spl0_173
  <=> c2_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f2782,plain,
    ( ~ c2_1(a252)
    | ~ spl0_22
    | ~ spl0_40
    | spl0_122 ),
    inference(resolution,[],[f2760,f866]) ).

fof(f866,plain,
    ( ~ c3_1(a252)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_122
  <=> c3_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2761,plain,
    ( ~ spl0_82
    | spl0_81
    | ~ spl0_52
    | spl0_80 ),
    inference(avatar_split_clause,[],[f2664,f640,f486,f645,f650]) ).

fof(f650,plain,
    ( spl0_82
  <=> c2_1(a314) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f645,plain,
    ( spl0_81
  <=> c0_1(a314) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f640,plain,
    ( spl0_80
  <=> c3_1(a314) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2664,plain,
    ( c0_1(a314)
    | ~ c2_1(a314)
    | ~ spl0_52
    | spl0_80 ),
    inference(resolution,[],[f487,f642]) ).

fof(f642,plain,
    ( ~ c3_1(a314)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f2636,plain,
    ( ~ spl0_112
    | spl0_171
    | ~ spl0_53
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2614,f800,f491,f1870,f810]) ).

fof(f810,plain,
    ( spl0_112
  <=> c1_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f491,plain,
    ( spl0_53
  <=> ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | c3_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f800,plain,
    ( spl0_110
  <=> c3_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2614,plain,
    ( c0_1(a259)
    | ~ c1_1(a259)
    | ~ spl0_53
    | spl0_110 ),
    inference(resolution,[],[f492,f802]) ).

fof(f802,plain,
    ( ~ c3_1(a259)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f492,plain,
    ( ! [X65] :
        ( c3_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f2631,plain,
    ( ~ spl0_171
    | spl0_111
    | ~ spl0_32
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2588,f800,f391,f805,f1870]) ).

fof(f391,plain,
    ( spl0_32
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2588,plain,
    ( c2_1(a259)
    | ~ c0_1(a259)
    | ~ spl0_32
    | spl0_110 ),
    inference(resolution,[],[f392,f802]) ).

fof(f392,plain,
    ( ! [X13] :
        ( c3_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f2607,plain,
    ( ~ spl0_151
    | spl0_150
    | ~ spl0_32
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2584,f1008,f391,f1013,f1018]) ).

fof(f1018,plain,
    ( spl0_151
  <=> c0_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1013,plain,
    ( spl0_150
  <=> c2_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1008,plain,
    ( spl0_149
  <=> c3_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2584,plain,
    ( c2_1(a238)
    | ~ c0_1(a238)
    | ~ spl0_32
    | spl0_149 ),
    inference(resolution,[],[f392,f1010]) ).

fof(f1010,plain,
    ( ~ c3_1(a238)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f2550,plain,
    ( ~ spl0_55
    | spl0_111
    | ~ spl0_112
    | spl0_171 ),
    inference(avatar_contradiction_clause,[],[f2549]) ).

fof(f2549,plain,
    ( $false
    | ~ spl0_55
    | spl0_111
    | ~ spl0_112
    | spl0_171 ),
    inference(subsumption_resolution,[],[f2548,f812]) ).

fof(f812,plain,
    ( c1_1(a259)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f2548,plain,
    ( ~ c1_1(a259)
    | ~ spl0_55
    | spl0_111
    | spl0_171 ),
    inference(subsumption_resolution,[],[f2535,f1872]) ).

fof(f1872,plain,
    ( ~ c0_1(a259)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1870]) ).

fof(f2535,plain,
    ( c0_1(a259)
    | ~ c1_1(a259)
    | ~ spl0_55
    | spl0_111 ),
    inference(resolution,[],[f503,f807]) ).

fof(f503,plain,
    ( ! [X73] :
        ( c2_1(X73)
        | c0_1(X73)
        | ~ c1_1(X73) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f502,plain,
    ( spl0_55
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2526,plain,
    ( ~ spl0_54
    | spl0_86
    | spl0_87
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f2525]) ).

fof(f2525,plain,
    ( $false
    | ~ spl0_54
    | spl0_86
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f2524,f674]) ).

fof(f674,plain,
    ( ~ c2_1(a282)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl0_86
  <=> c2_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2524,plain,
    ( c2_1(a282)
    | ~ spl0_54
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f2513,f679]) ).

fof(f679,plain,
    ( ~ c0_1(a282)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl0_87
  <=> c0_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2513,plain,
    ( c0_1(a282)
    | c2_1(a282)
    | ~ spl0_54
    | ~ spl0_88 ),
    inference(resolution,[],[f497,f684]) ).

fof(f684,plain,
    ( c3_1(a282)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f682,plain,
    ( spl0_88
  <=> c3_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f497,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl0_54
  <=> ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2518,plain,
    ( spl0_174
    | ~ spl0_54
    | spl0_146
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2517,f1002,f992,f496,f1886]) ).

fof(f1886,plain,
    ( spl0_174
  <=> c0_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f992,plain,
    ( spl0_146
  <=> c2_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1002,plain,
    ( spl0_148
  <=> c3_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2517,plain,
    ( c0_1(a239)
    | ~ spl0_54
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2500,f994]) ).

fof(f994,plain,
    ( ~ c2_1(a239)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f2500,plain,
    ( c0_1(a239)
    | c2_1(a239)
    | ~ spl0_54
    | ~ spl0_148 ),
    inference(resolution,[],[f497,f1004]) ).

fof(f1004,plain,
    ( c3_1(a239)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f2462,plain,
    ( spl0_104
    | ~ spl0_50
    | ~ spl0_106
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2461,f1176,f778,f475,f768]) ).

fof(f768,plain,
    ( spl0_104
  <=> c0_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f475,plain,
    ( spl0_50
  <=> ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c1_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f778,plain,
    ( spl0_106
  <=> c1_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1176,plain,
    ( spl0_164
  <=> c3_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2461,plain,
    ( c0_1(a265)
    | ~ spl0_50
    | ~ spl0_106
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2445,f1177]) ).

fof(f1177,plain,
    ( c3_1(a265)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1176]) ).

fof(f2445,plain,
    ( c0_1(a265)
    | ~ c3_1(a265)
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(resolution,[],[f476,f780]) ).

fof(f780,plain,
    ( c1_1(a265)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f476,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55)
        | ~ c3_1(X55) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f2397,plain,
    ( ~ spl0_27
    | spl0_128
    | ~ spl0_129
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2396]) ).

fof(f2396,plain,
    ( $false
    | ~ spl0_27
    | spl0_128
    | ~ spl0_129
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2395,f903]) ).

fof(f2395,plain,
    ( ~ c3_1(a249)
    | ~ spl0_27
    | spl0_128
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2393,f898]) ).

fof(f898,plain,
    ( ~ c2_1(a249)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f896,plain,
    ( spl0_128
  <=> c2_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2393,plain,
    ( c2_1(a249)
    | ~ c3_1(a249)
    | ~ spl0_27
    | ~ spl0_161 ),
    inference(resolution,[],[f1102,f370]) ).

fof(f370,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | c2_1(X7)
        | ~ c3_1(X7) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f369,plain,
    ( spl0_27
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2357,plain,
    ( spl0_161
    | ~ spl0_45
    | spl0_128
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2356,f906,f896,f450,f1101]) ).

fof(f450,plain,
    ( spl0_45
  <=> ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2356,plain,
    ( c1_1(a249)
    | ~ spl0_45
    | spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2336,f898]) ).

fof(f2336,plain,
    ( c1_1(a249)
    | c2_1(a249)
    | ~ spl0_45
    | ~ spl0_130 ),
    inference(resolution,[],[f451,f908]) ).

fof(f451,plain,
    ( ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f2355,plain,
    ( spl0_173
    | spl0_123
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2337,f874,f450,f869,f1881]) ).

fof(f869,plain,
    ( spl0_123
  <=> c1_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f874,plain,
    ( spl0_124
  <=> c0_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2337,plain,
    ( c1_1(a252)
    | c2_1(a252)
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(resolution,[],[f451,f876]) ).

fof(f876,plain,
    ( c0_1(a252)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f2329,plain,
    ( spl0_167
    | ~ spl0_43
    | spl0_149
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2328,f1018,f1008,f438,f1705]) ).

fof(f1705,plain,
    ( spl0_167
  <=> c1_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f438,plain,
    ( spl0_43
  <=> ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2328,plain,
    ( c1_1(a238)
    | ~ spl0_43
    | spl0_149
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2318,f1010]) ).

fof(f2318,plain,
    ( c1_1(a238)
    | c3_1(a238)
    | ~ spl0_43
    | ~ spl0_151 ),
    inference(resolution,[],[f439,f1020]) ).

fof(f1020,plain,
    ( c0_1(a238)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f439,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f2287,plain,
    ( ~ spl0_162
    | ~ spl0_27
    | spl0_98
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2284,f741,f736,f369,f1129]) ).

fof(f1129,plain,
    ( spl0_162
  <=> c3_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f736,plain,
    ( spl0_98
  <=> c2_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f741,plain,
    ( spl0_99
  <=> c1_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2284,plain,
    ( ~ c3_1(a271)
    | ~ spl0_27
    | spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f2279,f738]) ).

fof(f738,plain,
    ( ~ c2_1(a271)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f2279,plain,
    ( c2_1(a271)
    | ~ c3_1(a271)
    | ~ spl0_27
    | ~ spl0_99 ),
    inference(resolution,[],[f370,f743]) ).

fof(f743,plain,
    ( c1_1(a271)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f2274,plain,
    ( ~ spl0_165
    | ~ spl0_22
    | spl0_92
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2273,f709,f704,f349,f1277]) ).

fof(f1277,plain,
    ( spl0_165
  <=> c2_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f704,plain,
    ( spl0_92
  <=> c3_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f709,plain,
    ( spl0_93
  <=> c1_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2273,plain,
    ( ~ c2_1(a276)
    | ~ spl0_22
    | spl0_92
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f2268,f706]) ).

fof(f706,plain,
    ( ~ c3_1(a276)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f2268,plain,
    ( c3_1(a276)
    | ~ c2_1(a276)
    | ~ spl0_22
    | ~ spl0_93 ),
    inference(resolution,[],[f350,f711]) ).

fof(f711,plain,
    ( c1_1(a276)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f2272,plain,
    ( spl0_164
    | ~ spl0_22
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2271,f778,f773,f349,f1176]) ).

fof(f773,plain,
    ( spl0_105
  <=> c2_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2271,plain,
    ( c3_1(a265)
    | ~ spl0_22
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f2266,f775]) ).

fof(f775,plain,
    ( c2_1(a265)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f2266,plain,
    ( c3_1(a265)
    | ~ c2_1(a265)
    | ~ spl0_22
    | ~ spl0_106 ),
    inference(resolution,[],[f350,f780]) ).

fof(f2224,plain,
    ( ~ spl0_36
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f2223]) ).

fof(f2223,plain,
    ( $false
    | ~ spl0_36
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f2222,f759]) ).

fof(f759,plain,
    ( c3_1(a269)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl0_102
  <=> c3_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2222,plain,
    ( ~ c3_1(a269)
    | ~ spl0_36
    | spl0_101
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f2208,f754]) ).

fof(f754,plain,
    ( ~ c1_1(a269)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f752,plain,
    ( spl0_101
  <=> c1_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2208,plain,
    ( c1_1(a269)
    | ~ c3_1(a269)
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(resolution,[],[f409,f764]) ).

fof(f764,plain,
    ( c0_1(a269)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f762,plain,
    ( spl0_103
  <=> c0_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f409,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c1_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f408,plain,
    ( spl0_36
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2218,plain,
    ( ~ spl0_36
    | ~ spl0_129
    | ~ spl0_130
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2217]) ).

fof(f2217,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_129
    | ~ spl0_130
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2216,f903]) ).

fof(f2216,plain,
    ( ~ c3_1(a249)
    | ~ spl0_36
    | ~ spl0_130
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2206,f1103]) ).

fof(f1103,plain,
    ( ~ c1_1(a249)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f2206,plain,
    ( c1_1(a249)
    | ~ c3_1(a249)
    | ~ spl0_36
    | ~ spl0_130 ),
    inference(resolution,[],[f409,f908]) ).

fof(f2174,plain,
    ( ~ spl0_29
    | ~ spl0_47
    | spl0_149
    | spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2173]) ).

fof(f2173,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_47
    | spl0_149
    | spl0_150 ),
    inference(subsumption_resolution,[],[f2162,f1015]) ).

fof(f1015,plain,
    ( ~ c2_1(a238)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f2162,plain,
    ( c2_1(a238)
    | ~ spl0_29
    | ~ spl0_47
    | spl0_149 ),
    inference(resolution,[],[f2160,f1010]) ).

fof(f2160,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c2_1(X44) )
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f460,f378]) ).

fof(f2145,plain,
    ( ~ spl0_174
    | ~ spl0_31
    | spl0_146
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2144,f1002,f992,f387,f1886]) ).

fof(f387,plain,
    ( spl0_31
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2144,plain,
    ( ~ c0_1(a239)
    | ~ spl0_31
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2129,f994]) ).

fof(f2129,plain,
    ( c2_1(a239)
    | ~ c0_1(a239)
    | ~ spl0_31
    | ~ spl0_148 ),
    inference(resolution,[],[f388,f1004]) ).

fof(f388,plain,
    ( ! [X11] :
        ( ~ c3_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f2124,plain,
    ( ~ spl0_29
    | spl0_149
    | spl0_150
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2123]) ).

fof(f2123,plain,
    ( $false
    | ~ spl0_29
    | spl0_149
    | spl0_150
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2122,f1010]) ).

fof(f2122,plain,
    ( c3_1(a238)
    | ~ spl0_29
    | spl0_150
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2115,f1015]) ).

fof(f2115,plain,
    ( c2_1(a238)
    | c3_1(a238)
    | ~ spl0_29
    | ~ spl0_167 ),
    inference(resolution,[],[f378,f1706]) ).

fof(f1706,plain,
    ( c1_1(a238)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1705]) ).

fof(f1978,plain,
    ( ~ spl0_153
    | ~ spl0_19
    | ~ spl0_50
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1950,f1034,f475,f337,f1029]) ).

fof(f1029,plain,
    ( spl0_153
  <=> c3_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1034,plain,
    ( spl0_154
  <=> c1_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1950,plain,
    ( ~ c3_1(a236)
    | ~ spl0_19
    | ~ spl0_50
    | ~ spl0_154 ),
    inference(resolution,[],[f1942,f1036]) ).

fof(f1036,plain,
    ( c1_1(a236)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1942,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c3_1(X55) )
    | ~ spl0_19
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f476,f338]) ).

fof(f1974,plain,
    ( ~ spl0_164
    | ~ spl0_19
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1957,f778,f475,f337,f1176]) ).

fof(f1957,plain,
    ( ~ c3_1(a265)
    | ~ spl0_19
    | ~ spl0_50
    | ~ spl0_106 ),
    inference(resolution,[],[f1942,f780]) ).

fof(f1937,plain,
    ( ~ spl0_19
    | ~ spl0_65
    | ~ spl0_67
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f1936]) ).

fof(f1936,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_65
    | ~ spl0_67
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f1935,f562]) ).

fof(f562,plain,
    ( c3_1(a246)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_65
  <=> c3_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1935,plain,
    ( ~ c3_1(a246)
    | ~ spl0_19
    | ~ spl0_67
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f1934,f572]) ).

fof(f572,plain,
    ( c0_1(a246)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl0_67
  <=> c0_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1934,plain,
    ( ~ c0_1(a246)
    | ~ c3_1(a246)
    | ~ spl0_19
    | ~ spl0_163 ),
    inference(resolution,[],[f1167,f338]) ).

fof(f1167,plain,
    ( c1_1(a246)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f1165,plain,
    ( spl0_163
  <=> c1_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1927,plain,
    ( spl0_164
    | ~ spl0_42
    | ~ spl0_52
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1921,f773,f486,f433,f1176]) ).

fof(f433,plain,
    ( spl0_42
  <=> ! [X23] :
        ( ~ c2_1(X23)
        | c3_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1921,plain,
    ( c3_1(a265)
    | ~ spl0_42
    | ~ spl0_52
    | ~ spl0_105 ),
    inference(resolution,[],[f1890,f775]) ).

fof(f1890,plain,
    ( ! [X63] :
        ( ~ c2_1(X63)
        | c3_1(X63) )
    | ~ spl0_42
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f487,f434]) ).

fof(f434,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | c3_1(X23)
        | ~ c2_1(X23) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1915,plain,
    ( spl0_167
    | ~ spl0_44
    | ~ spl0_47
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1914,f1013,f459,f443,f1705]) ).

fof(f1914,plain,
    ( c1_1(a238)
    | ~ spl0_44
    | ~ spl0_47
    | spl0_150 ),
    inference(resolution,[],[f1015,f1763]) ).

fof(f1763,plain,
    ( ! [X44] :
        ( c2_1(X44)
        | c1_1(X44) )
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f460,f444]) ).

fof(f1879,plain,
    ( ~ spl0_74
    | spl0_170
    | ~ spl0_42
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1866,f618,f433,f1862,f608]) ).

fof(f608,plain,
    ( spl0_74
  <=> c2_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1866,plain,
    ( c3_1(a237)
    | ~ c2_1(a237)
    | ~ spl0_42
    | ~ spl0_76 ),
    inference(resolution,[],[f620,f434]) ).

fof(f1856,plain,
    ( ~ spl0_42
    | ~ spl0_52
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1855]) ).

fof(f1855,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_52
    | spl0_125
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1848,f892]) ).

fof(f892,plain,
    ( c2_1(a251)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_127
  <=> c2_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1848,plain,
    ( ~ c2_1(a251)
    | ~ spl0_42
    | ~ spl0_52
    | spl0_125 ),
    inference(resolution,[],[f1831,f882]) ).

fof(f882,plain,
    ( ~ c3_1(a251)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_125
  <=> c3_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1831,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_42
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f487,f434]) ).

fof(f1841,plain,
    ( ~ spl0_165
    | spl0_92
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1795,f714,f433,f704,f1277]) ).

fof(f714,plain,
    ( spl0_94
  <=> c0_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1795,plain,
    ( c3_1(a276)
    | ~ c2_1(a276)
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(resolution,[],[f716,f434]) ).

fof(f716,plain,
    ( c0_1(a276)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f1838,plain,
    ( ~ spl0_93
    | ~ spl0_35
    | ~ spl0_94
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1837,f1277,f714,f404,f709]) ).

fof(f1837,plain,
    ( ~ c1_1(a276)
    | ~ spl0_35
    | ~ spl0_94
    | spl0_165 ),
    inference(subsumption_resolution,[],[f1833,f716]) ).

fof(f1833,plain,
    ( ~ c1_1(a276)
    | ~ c0_1(a276)
    | ~ spl0_35
    | spl0_165 ),
    inference(resolution,[],[f1278,f405]) ).

fof(f1278,plain,
    ( ~ c2_1(a276)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f1825,plain,
    ( ~ spl0_49
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1824]) ).

fof(f1824,plain,
    ( $false
    | ~ spl0_49
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1823,f988]) ).

fof(f988,plain,
    ( c2_1(a241)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f986,plain,
    ( spl0_145
  <=> c2_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1823,plain,
    ( ~ c2_1(a241)
    | ~ spl0_49
    | spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1810,f978]) ).

fof(f978,plain,
    ( ~ c0_1(a241)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl0_143
  <=> c0_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1810,plain,
    ( c0_1(a241)
    | ~ c2_1(a241)
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(resolution,[],[f469,f983]) ).

fof(f983,plain,
    ( c3_1(a241)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f981,plain,
    ( spl0_144
  <=> c3_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f469,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_49
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1775,plain,
    ( ~ spl0_44
    | ~ spl0_47
    | spl0_137
    | spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1774]) ).

fof(f1774,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_47
    | spl0_137
    | spl0_138 ),
    inference(subsumption_resolution,[],[f1765,f951]) ).

fof(f951,plain,
    ( ~ c1_1(a244)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_138
  <=> c1_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1765,plain,
    ( c1_1(a244)
    | ~ spl0_44
    | ~ spl0_47
    | spl0_137 ),
    inference(resolution,[],[f1763,f946]) ).

fof(f946,plain,
    ( ~ c2_1(a244)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f944,plain,
    ( spl0_137
  <=> c2_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1745,plain,
    ( spl0_95
    | ~ spl0_42
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1744,f730,f725,f433,f720]) ).

fof(f730,plain,
    ( spl0_97
  <=> c0_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1744,plain,
    ( c3_1(a274)
    | ~ spl0_42
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f1739,f727]) ).

fof(f1739,plain,
    ( c3_1(a274)
    | ~ c2_1(a274)
    | ~ spl0_42
    | ~ spl0_97 ),
    inference(resolution,[],[f434,f732]) ).

fof(f732,plain,
    ( c0_1(a274)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f1708,plain,
    ( ~ spl0_151
    | ~ spl0_167
    | ~ spl0_35
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1703,f1013,f404,f1705,f1018]) ).

fof(f1703,plain,
    ( ~ c1_1(a238)
    | ~ c0_1(a238)
    | ~ spl0_35
    | spl0_150 ),
    inference(resolution,[],[f1015,f405]) ).

fof(f1677,plain,
    ( ~ spl0_51
    | spl0_104
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1676,plain,
    ( $false
    | ~ spl0_51
    | spl0_104
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f1675,f775]) ).

fof(f1675,plain,
    ( ~ c2_1(a265)
    | ~ spl0_51
    | spl0_104
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f1669,f770]) ).

fof(f770,plain,
    ( ~ c0_1(a265)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1669,plain,
    ( c0_1(a265)
    | ~ c2_1(a265)
    | ~ spl0_51
    | ~ spl0_106 ),
    inference(resolution,[],[f482,f780]) ).

fof(f482,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | c0_1(X60)
        | ~ c2_1(X60) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_51
  <=> ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1608,plain,
    ( ~ spl0_165
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1600,f709,f481,f462,f404,f1277]) ).

fof(f462,plain,
    ( spl0_48
  <=> ! [X43] :
        ( ~ c2_1(X43)
        | ~ c0_1(X43)
        | ~ c1_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1600,plain,
    ( ~ c2_1(a276)
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(resolution,[],[f1591,f711]) ).

fof(f1591,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | ~ c2_1(X60) )
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f482,f1589]) ).

fof(f1589,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | ~ c1_1(X18) )
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f405,f463]) ).

fof(f463,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | ~ c2_1(X43)
        | ~ c1_1(X43) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1580,plain,
    ( ~ spl0_19
    | ~ spl0_36
    | ~ spl0_49
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1579]) ).

fof(f1579,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_49
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1568,f983]) ).

fof(f1568,plain,
    ( ~ c3_1(a241)
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_49
    | ~ spl0_145 ),
    inference(resolution,[],[f1565,f988]) ).

fof(f1565,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | ~ c3_1(X50) )
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f469,f1172]) ).

fof(f1172,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f409,f338]) ).

fof(f1551,plain,
    ( ~ spl0_45
    | spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1550]) ).

fof(f1550,plain,
    ( $false
    | ~ spl0_45
    | spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1549,f946]) ).

fof(f1549,plain,
    ( c2_1(a244)
    | ~ spl0_45
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1548,f951]) ).

fof(f1548,plain,
    ( c1_1(a244)
    | c2_1(a244)
    | ~ spl0_45
    | ~ spl0_139 ),
    inference(resolution,[],[f451,f956]) ).

fof(f956,plain,
    ( c0_1(a244)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f954,plain,
    ( spl0_139
  <=> c0_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1505,plain,
    ( ~ spl0_44
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | ~ spl0_44
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1503,f994]) ).

fof(f1503,plain,
    ( c2_1(a239)
    | ~ spl0_44
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1491,f999]) ).

fof(f999,plain,
    ( ~ c1_1(a239)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f997,plain,
    ( spl0_147
  <=> c1_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1491,plain,
    ( c1_1(a239)
    | c2_1(a239)
    | ~ spl0_44
    | ~ spl0_148 ),
    inference(resolution,[],[f444,f1004]) ).

fof(f1434,plain,
    ( ~ spl0_17
    | ~ spl0_105
    | ~ spl0_106
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f1433]) ).

fof(f1433,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_105
    | ~ spl0_106
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f1432,f775]) ).

fof(f1432,plain,
    ( ~ c2_1(a265)
    | ~ spl0_17
    | ~ spl0_106
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f1425,f780]) ).

fof(f1425,plain,
    ( ~ c1_1(a265)
    | ~ c2_1(a265)
    | ~ spl0_17
    | ~ spl0_164 ),
    inference(resolution,[],[f330,f1177]) ).

fof(f330,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1387,plain,
    ( spl0_98
    | ~ spl0_29
    | ~ spl0_99
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1386,f1129,f741,f377,f736]) ).

fof(f1386,plain,
    ( c2_1(a271)
    | ~ spl0_29
    | ~ spl0_99
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1332,f1131]) ).

fof(f1131,plain,
    ( ~ c3_1(a271)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1332,plain,
    ( c2_1(a271)
    | c3_1(a271)
    | ~ spl0_29
    | ~ spl0_99 ),
    inference(resolution,[],[f378,f743]) ).

fof(f1359,plain,
    ( ~ spl0_44
    | spl0_128
    | ~ spl0_129
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1358]) ).

fof(f1358,plain,
    ( $false
    | ~ spl0_44
    | spl0_128
    | ~ spl0_129
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1357,f898]) ).

fof(f1357,plain,
    ( c2_1(a249)
    | ~ spl0_44
    | ~ spl0_129
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1351,f1103]) ).

fof(f1351,plain,
    ( c1_1(a249)
    | c2_1(a249)
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(resolution,[],[f444,f903]) ).

fof(f1344,plain,
    ( ~ spl0_29
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1343]) ).

fof(f1343,plain,
    ( $false
    | ~ spl0_29
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1342,f802]) ).

fof(f1342,plain,
    ( c3_1(a259)
    | ~ spl0_29
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1329,f807]) ).

fof(f1329,plain,
    ( c2_1(a259)
    | c3_1(a259)
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(resolution,[],[f378,f812]) ).

fof(f1317,plain,
    ( ~ spl0_22
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1316]) ).

fof(f1316,plain,
    ( $false
    | ~ spl0_22
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1315,f663]) ).

fof(f663,plain,
    ( c2_1(a294)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f661,plain,
    ( spl0_84
  <=> c2_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1315,plain,
    ( ~ c2_1(a294)
    | ~ spl0_22
    | spl0_83
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1302,f658]) ).

fof(f658,plain,
    ( ~ c3_1(a294)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl0_83
  <=> c3_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1302,plain,
    ( c3_1(a294)
    | ~ c2_1(a294)
    | ~ spl0_22
    | ~ spl0_85 ),
    inference(resolution,[],[f350,f668]) ).

fof(f668,plain,
    ( c1_1(a294)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_85
  <=> c1_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1258,plain,
    ( ~ spl0_19
    | ~ spl0_25
    | ~ spl0_36
    | ~ spl0_43
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1253]) ).

fof(f1253,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_25
    | ~ spl0_36
    | ~ spl0_43
    | ~ spl0_97 ),
    inference(resolution,[],[f1248,f732]) ).

fof(f1248,plain,
    ( ! [X5] : ~ c0_1(X5)
    | ~ spl0_19
    | ~ spl0_25
    | ~ spl0_36
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f1219,f1218]) ).

fof(f1218,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27) )
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f439,f1172]) ).

fof(f1219,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | ~ c0_1(X5) )
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f362,f338]) ).

fof(f362,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c0_1(X5) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f361,plain,
    ( spl0_25
  <=> ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1216,plain,
    ( ~ spl0_17
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1215]) ).

fof(f1215,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1214,f599]) ).

fof(f599,plain,
    ( c2_1(a240)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f597,plain,
    ( spl0_72
  <=> c2_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1214,plain,
    ( ~ c2_1(a240)
    | ~ spl0_17
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1213,f604]) ).

fof(f604,plain,
    ( c1_1(a240)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f602,plain,
    ( spl0_73
  <=> c1_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1213,plain,
    ( ~ c1_1(a240)
    | ~ c2_1(a240)
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(resolution,[],[f330,f594]) ).

fof(f594,plain,
    ( c3_1(a240)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl0_71
  <=> c3_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1189,plain,
    ( ~ spl0_19
    | ~ spl0_50
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1188]) ).

fof(f1188,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_50
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1187,f604]) ).

fof(f1187,plain,
    ( ~ c1_1(a240)
    | ~ spl0_19
    | ~ spl0_50
    | ~ spl0_71 ),
    inference(resolution,[],[f1170,f594]) ).

fof(f1170,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_19
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f476,f338]) ).

fof(f1169,plain,
    ( ~ spl0_130
    | ~ spl0_31
    | spl0_128
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1159,f901,f896,f387,f906]) ).

fof(f1159,plain,
    ( ~ c0_1(a249)
    | ~ spl0_31
    | spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1153,f898]) ).

fof(f1153,plain,
    ( c2_1(a249)
    | ~ c0_1(a249)
    | ~ spl0_31
    | ~ spl0_129 ),
    inference(resolution,[],[f388,f903]) ).

fof(f1168,plain,
    ( ~ spl0_65
    | spl0_163
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1137,f565,f396,f1165,f560]) ).

fof(f396,plain,
    ( spl0_33
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f565,plain,
    ( spl0_66
  <=> c2_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1137,plain,
    ( c1_1(a246)
    | ~ c3_1(a246)
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(resolution,[],[f397,f567]) ).

fof(f567,plain,
    ( c2_1(a246)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f397,plain,
    ( ! [X17] :
        ( ~ c2_1(X17)
        | c1_1(X17)
        | ~ c3_1(X17) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1147,plain,
    ( ~ spl0_43
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1146]) ).

fof(f1146,plain,
    ( $false
    | ~ spl0_43
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1145,f866]) ).

fof(f1145,plain,
    ( c3_1(a252)
    | ~ spl0_43
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1140,f871]) ).

fof(f871,plain,
    ( ~ c1_1(a252)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f1140,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ spl0_43
    | ~ spl0_124 ),
    inference(resolution,[],[f439,f876]) ).

fof(f1132,plain,
    ( ~ spl0_162
    | ~ spl0_100
    | ~ spl0_19
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1127,f741,f337,f746,f1129]) ).

fof(f746,plain,
    ( spl0_100
  <=> c0_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1127,plain,
    ( ~ c0_1(a271)
    | ~ c3_1(a271)
    | ~ spl0_19
    | ~ spl0_99 ),
    inference(resolution,[],[f743,f338]) ).

fof(f1126,plain,
    ( ~ spl0_100
    | ~ spl0_99
    | ~ spl0_35
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1125,f736,f404,f741,f746]) ).

fof(f1125,plain,
    ( ~ c1_1(a271)
    | ~ c0_1(a271)
    | ~ spl0_35
    | spl0_98 ),
    inference(resolution,[],[f738,f405]) ).

fof(f1113,plain,
    ( ~ spl0_40
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1112]) ).

fof(f1112,plain,
    ( $false
    | ~ spl0_40
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1111,f892]) ).

fof(f1111,plain,
    ( ~ c2_1(a251)
    | ~ spl0_40
    | spl0_125
    | spl0_126 ),
    inference(subsumption_resolution,[],[f1105,f887]) ).

fof(f887,plain,
    ( ~ c1_1(a251)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f885,plain,
    ( spl0_126
  <=> c1_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1105,plain,
    ( c1_1(a251)
    | ~ c2_1(a251)
    | ~ spl0_40
    | spl0_125 ),
    inference(resolution,[],[f426,f882]) ).

fof(f1104,plain,
    ( ~ spl0_130
    | ~ spl0_161
    | ~ spl0_35
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1099,f896,f404,f1101,f906]) ).

fof(f1099,plain,
    ( ~ c1_1(a249)
    | ~ c0_1(a249)
    | ~ spl0_35
    | spl0_128 ),
    inference(resolution,[],[f898,f405]) ).

fof(f1098,plain,
    ( ~ spl0_19
    | ~ spl0_36
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1097,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1094,f562]) ).

fof(f1094,plain,
    ( ~ c3_1(a246)
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(resolution,[],[f1091,f572]) ).

fof(f1091,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f409,f338]) ).

fof(f1096,plain,
    ( ~ spl0_19
    | ~ spl0_36
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f1095]) ).

fof(f1095,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f1093,f759]) ).

fof(f1093,plain,
    ( ~ c3_1(a269)
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(resolution,[],[f1091,f764]) ).

fof(f1077,plain,
    ( ~ spl0_22
    | ~ spl0_29
    | spl0_92
    | ~ spl0_93 ),
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1076,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_29
    | spl0_92
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f1075,f706]) ).

fof(f1075,plain,
    ( c3_1(a276)
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(resolution,[],[f1074,f711]) ).

fof(f1074,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8) )
    | ~ spl0_22
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f378,f350]) ).

fof(f1038,plain,
    ( ~ spl0_7
    | spl0_16 ),
    inference(avatar_split_clause,[],[f15,f325,f281]) ).

fof(f281,plain,
    ( spl0_7
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f325,plain,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

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

fof(f6,plain,
    ( ( hskp9
      | hskp11
      | hskp5 )
    & ( hskp24
      | hskp13
      | hskp23 )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp24
      | hskp13
      | hskp8 )
    & ( hskp11
      | hskp13
      | hskp8 )
    & ( hskp15
      | hskp7
      | hskp8 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( hskp5
      | hskp18
      | hskp22 )
    & ( hskp2
      | hskp22
      | hskp28 )
    & ( hskp27
      | hskp24
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp31
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp19
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp19
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp31
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X10] :
          ( ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp22
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp25
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp9
      | ! [X22] :
          ( ~ c2_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X35] :
          ( ~ c1_1(X35)
          | c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp16
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X45] :
          ( ~ c2_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp11
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp23
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp22
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X58] :
          ( c3_1(X58)
          | c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp18
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp31
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c3_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp30
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp7
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp31
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X94] :
          ( ~ c0_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X96] :
          ( c3_1(X96)
          | c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c3_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( c3_1(X115)
          | c2_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a246)
        & c2_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a243)
        & c1_1(a243)
        & c0_1(a243)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a240)
        & c2_1(a240)
        & c1_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a237)
        & c1_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a322)
        & ~ c2_1(a322)
        & ~ c1_1(a322)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a314)
        & ~ c0_1(a314)
        & c2_1(a314)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a282)
        & ~ c0_1(a282)
        & c3_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a281)
        & c3_1(a281)
        & c1_1(a281)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a276)
        & c1_1(a276)
        & c0_1(a276)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a274)
        & c2_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a271)
        & c1_1(a271)
        & c0_1(a271)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a269)
        & c3_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a265)
        & c2_1(a265)
        & c1_1(a265)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a259)
        & ~ c2_1(a259)
        & c1_1(a259)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a258)
        & ~ c2_1(a258)
        & ~ c0_1(a258)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a253)
        & ~ c0_1(a253)
        & c1_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a252)
        & ~ c1_1(a252)
        & c0_1(a252)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a251)
        & ~ c1_1(a251)
        & c2_1(a251)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a248)
        & ~ c0_1(a248)
        & c3_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a245)
        & c2_1(a245)
        & c0_1(a245)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a244)
        & ~ c1_1(a244)
        & c0_1(a244)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a242)
        & ~ c0_1(a242)
        & c2_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a241)
        & c3_1(a241)
        & c2_1(a241)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a239)
        & ~ c1_1(a239)
        & c3_1(a239)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a238)
        & ~ c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a236)
        & c3_1(a236)
        & c1_1(a236)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a234)
        & ~ c0_1(a234)
        & c1_1(a234)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp9
      | hskp11
      | hskp5 )
    & ( hskp24
      | hskp13
      | hskp23 )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp24
      | hskp13
      | hskp8 )
    & ( hskp11
      | hskp13
      | hskp8 )
    & ( hskp15
      | hskp7
      | hskp8 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( hskp5
      | hskp18
      | hskp22 )
    & ( hskp2
      | hskp22
      | hskp28 )
    & ( hskp27
      | hskp24
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp31
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp19
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp19
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp31
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X10] :
          ( ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp22
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp25
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp9
      | ! [X22] :
          ( ~ c2_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X35] :
          ( ~ c1_1(X35)
          | c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp16
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X45] :
          ( ~ c2_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp11
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp23
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp22
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X58] :
          ( c3_1(X58)
          | c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp18
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp31
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c3_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp30
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp7
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp31
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X94] :
          ( ~ c0_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X96] :
          ( c3_1(X96)
          | c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c3_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( c3_1(X115)
          | c2_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a246)
        & c2_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a243)
        & c1_1(a243)
        & c0_1(a243)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a240)
        & c2_1(a240)
        & c1_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a237)
        & c1_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a322)
        & ~ c2_1(a322)
        & ~ c1_1(a322)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a314)
        & ~ c0_1(a314)
        & c2_1(a314)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a282)
        & ~ c0_1(a282)
        & c3_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a281)
        & c3_1(a281)
        & c1_1(a281)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a276)
        & c1_1(a276)
        & c0_1(a276)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a274)
        & c2_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a271)
        & c1_1(a271)
        & c0_1(a271)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a269)
        & c3_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a265)
        & c2_1(a265)
        & c1_1(a265)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a259)
        & ~ c2_1(a259)
        & c1_1(a259)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a258)
        & ~ c2_1(a258)
        & ~ c0_1(a258)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a253)
        & ~ c0_1(a253)
        & c1_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a252)
        & ~ c1_1(a252)
        & c0_1(a252)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a251)
        & ~ c1_1(a251)
        & c2_1(a251)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a248)
        & ~ c0_1(a248)
        & c3_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a245)
        & c2_1(a245)
        & c0_1(a245)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a244)
        & ~ c1_1(a244)
        & c0_1(a244)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a242)
        & ~ c0_1(a242)
        & c2_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a241)
        & c3_1(a241)
        & c2_1(a241)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a239)
        & ~ c1_1(a239)
        & c3_1(a239)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a238)
        & ~ c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a236)
        & c3_1(a236)
        & c1_1(a236)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a234)
        & ~ c0_1(a234)
        & c1_1(a234)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp9
      | hskp11
      | hskp5 )
    & ( hskp24
      | hskp13
      | hskp23 )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp24
      | hskp13
      | hskp8 )
    & ( hskp11
      | hskp13
      | hskp8 )
    & ( hskp15
      | hskp7
      | hskp8 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( hskp5
      | hskp18
      | hskp22 )
    & ( hskp2
      | hskp22
      | hskp28 )
    & ( hskp27
      | hskp24
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp4
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp4
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp21
      | hskp31
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp29
      | hskp19
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp26
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp15
      | hskp19
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | c3_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp4
      | hskp31
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp2
      | hskp20
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp20
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp7
      | hskp22
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c1_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp5
      | hskp25
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp7
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp3
      | hskp12
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp5
      | hskp10
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp17
      | hskp9
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c3_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp5
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp25
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp29
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp11
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c1_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp29
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp10
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c3_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c3_1(X38)
            | c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp11
      | hskp16
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp18
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp4
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp20
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c0_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp24
      | hskp11
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp24
      | hskp23
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp17
      | hskp19
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp31
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | ~ c0_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp18
      | hskp22
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp11
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp21
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp13
      | hskp8
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp20
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp16
      | hskp19
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp4
      | hskp28
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp9
      | hskp18
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp10
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp17
      | hskp29
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp14
      | hskp31
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp16
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp15
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp14
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c1_1(X76)
            | c2_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp9
      | hskp30
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp11
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp11
      | hskp7
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp10
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp9
      | hskp31
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp31
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp8
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c0_1(X90)
            | c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp7
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp30
      | ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | c3_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp6
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | c2_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp5
      | hskp29
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp4
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | ~ c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp3
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp28
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | ~ c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp2
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c0_1(X105)
            | c2_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c1_1(X107)
            | ~ c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c1_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c1_1(X110)
            | c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c3_1(X111)
            | c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp1
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c2_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp0
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | c2_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( ( c3_1(a246)
        & c2_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a243)
        & c1_1(a243)
        & c0_1(a243)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a240)
        & c2_1(a240)
        & c1_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a237)
        & c1_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a322)
        & ~ c2_1(a322)
        & ~ c1_1(a322)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a314)
        & ~ c0_1(a314)
        & c2_1(a314)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a282)
        & ~ c0_1(a282)
        & c3_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a281)
        & c3_1(a281)
        & c1_1(a281)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a276)
        & c1_1(a276)
        & c0_1(a276)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a274)
        & c2_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a271)
        & c1_1(a271)
        & c0_1(a271)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a269)
        & c3_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a265)
        & c2_1(a265)
        & c1_1(a265)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a259)
        & ~ c2_1(a259)
        & c1_1(a259)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a258)
        & ~ c2_1(a258)
        & ~ c0_1(a258)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a253)
        & ~ c0_1(a253)
        & c1_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a252)
        & ~ c1_1(a252)
        & c0_1(a252)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a251)
        & ~ c1_1(a251)
        & c2_1(a251)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a248)
        & ~ c0_1(a248)
        & c3_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a245)
        & c2_1(a245)
        & c0_1(a245)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a244)
        & ~ c1_1(a244)
        & c0_1(a244)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a242)
        & ~ c0_1(a242)
        & c2_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a241)
        & c3_1(a241)
        & c2_1(a241)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a239)
        & ~ c1_1(a239)
        & c3_1(a239)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a238)
        & ~ c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a236)
        & c3_1(a236)
        & c1_1(a236)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a234)
        & ~ c0_1(a234)
        & c1_1(a234)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp9
          | hskp11
          | hskp5 )
        & ( hskp24
          | hskp13
          | hskp23 )
        & ( hskp14
          | hskp13
          | hskp2 )
        & ( hskp11
          | hskp18
          | hskp19 )
        & ( hskp24
          | hskp13
          | hskp8 )
        & ( hskp11
          | hskp13
          | hskp8 )
        & ( hskp15
          | hskp7
          | hskp8 )
        & ( hskp9
          | hskp19
          | hskp8 )
        & ( hskp5
          | hskp18
          | hskp22 )
        & ( hskp2
          | hskp22
          | hskp28 )
        & ( hskp27
          | hskp24
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp4
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp4
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp21
          | hskp31
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp29
          | hskp19
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp26
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp15
          | hskp19
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp4
          | hskp31
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp2
          | hskp20
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp20
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp7
          | hskp22
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp5
          | hskp25
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp7
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp3
          | hskp12
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp5
          | hskp10
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp17
          | hskp9
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp5
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp25
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp29
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp11
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c1_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp29
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp10
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp11
          | hskp16
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp18
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp4
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp20
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp24
          | hskp11
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp24
          | hskp23
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp17
          | hskp19
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp31
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c0_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp18
          | hskp22
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp11
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp21
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp13
          | hskp8
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp20
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp19
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp4
          | hskp28
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp18
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp10
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp17
          | hskp29
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp14
          | hskp31
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp16
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp15
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp14
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp9
          | hskp30
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp11
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp13
          | hskp12
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp11
          | hskp7
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp10
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp9
          | hskp31
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp31
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp8
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp7
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp30
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp6
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp5
          | hskp29
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp4
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp3
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp28
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp2
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c3_1(X111)
                | c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp1
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c2_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp0
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | c2_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( ( c3_1(a246)
            & c2_1(a246)
            & c0_1(a246)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a243)
            & c1_1(a243)
            & c0_1(a243)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a240)
            & c2_1(a240)
            & c1_1(a240)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a237)
            & c1_1(a237)
            & c0_1(a237)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a322)
            & ~ c2_1(a322)
            & ~ c1_1(a322)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a314)
            & ~ c0_1(a314)
            & c2_1(a314)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a294)
            & c2_1(a294)
            & c1_1(a294)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a282)
            & ~ c0_1(a282)
            & c3_1(a282)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a281)
            & c3_1(a281)
            & c1_1(a281)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a276)
            & c1_1(a276)
            & c0_1(a276)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a274)
            & c2_1(a274)
            & c0_1(a274)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a271)
            & c1_1(a271)
            & c0_1(a271)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a269)
            & c3_1(a269)
            & c0_1(a269)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a265)
            & c2_1(a265)
            & c1_1(a265)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a263)
            & ~ c1_1(a263)
            & ~ c0_1(a263)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a259)
            & ~ c2_1(a259)
            & c1_1(a259)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a258)
            & ~ c2_1(a258)
            & ~ c0_1(a258)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a257)
            & c3_1(a257)
            & c2_1(a257)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a253)
            & ~ c0_1(a253)
            & c1_1(a253)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a252)
            & ~ c1_1(a252)
            & c0_1(a252)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a251)
            & ~ c1_1(a251)
            & c2_1(a251)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a249)
            & c3_1(a249)
            & c0_1(a249)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a248)
            & ~ c0_1(a248)
            & c3_1(a248)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a245)
            & c2_1(a245)
            & c0_1(a245)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a244)
            & ~ c1_1(a244)
            & c0_1(a244)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a242)
            & ~ c0_1(a242)
            & c2_1(a242)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a241)
            & c3_1(a241)
            & c2_1(a241)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a239)
            & ~ c1_1(a239)
            & c3_1(a239)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a238)
            & ~ c2_1(a238)
            & c0_1(a238)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a236)
            & c3_1(a236)
            & c1_1(a236)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a235)
            & ~ c1_1(a235)
            & ~ c0_1(a235)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a234)
            & ~ c0_1(a234)
            & c1_1(a234)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp9
          | hskp11
          | hskp5 )
        & ( hskp24
          | hskp13
          | hskp23 )
        & ( hskp14
          | hskp13
          | hskp2 )
        & ( hskp11
          | hskp18
          | hskp19 )
        & ( hskp24
          | hskp13
          | hskp8 )
        & ( hskp11
          | hskp13
          | hskp8 )
        & ( hskp15
          | hskp7
          | hskp8 )
        & ( hskp9
          | hskp19
          | hskp8 )
        & ( hskp5
          | hskp18
          | hskp22 )
        & ( hskp2
          | hskp22
          | hskp28 )
        & ( hskp27
          | hskp24
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp4
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp21
          | hskp31
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | c3_1(X112) ) ) )
        & ( hskp29
          | hskp19
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp26
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp15
          | hskp19
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp4
          | hskp31
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp2
          | hskp20
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp20
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp7
          | hskp22
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c3_1(X103)
                | c2_1(X103) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp5
          | hskp25
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp7
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp3
          | hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp5
          | hskp10
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp17
          | hskp9
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp5
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp25
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp29
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp11
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp29
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp10
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp11
          | hskp16
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp18
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp20
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp24
          | hskp11
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp24
          | hskp23
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp17
          | hskp19
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp31
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp18
          | hskp22
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp21
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp13
          | hskp8
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp20
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp16
          | hskp19
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp4
          | hskp28
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp9
          | hskp18
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp10
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp17
          | hskp29
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp14
          | hskp31
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp16
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c3_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp15
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp14
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp9
          | hskp30
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp11
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp13
          | hskp12
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp11
          | hskp7
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp10
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp9
          | hskp31
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp31
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp8
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp7
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp30
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp6
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp5
          | hskp29
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp3
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp28
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp2
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | c2_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a246)
            & c2_1(a246)
            & c0_1(a246)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a243)
            & c1_1(a243)
            & c0_1(a243)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a240)
            & c2_1(a240)
            & c1_1(a240)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a237)
            & c1_1(a237)
            & c0_1(a237)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a322)
            & ~ c2_1(a322)
            & ~ c1_1(a322)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a314)
            & ~ c0_1(a314)
            & c2_1(a314)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a294)
            & c2_1(a294)
            & c1_1(a294)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a282)
            & ~ c0_1(a282)
            & c3_1(a282)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a281)
            & c3_1(a281)
            & c1_1(a281)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a276)
            & c1_1(a276)
            & c0_1(a276)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a274)
            & c2_1(a274)
            & c0_1(a274)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a271)
            & c1_1(a271)
            & c0_1(a271)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a269)
            & c3_1(a269)
            & c0_1(a269)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a265)
            & c2_1(a265)
            & c1_1(a265)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a263)
            & ~ c1_1(a263)
            & ~ c0_1(a263)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a259)
            & ~ c2_1(a259)
            & c1_1(a259)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a258)
            & ~ c2_1(a258)
            & ~ c0_1(a258)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a257)
            & c3_1(a257)
            & c2_1(a257)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a253)
            & ~ c0_1(a253)
            & c1_1(a253)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a252)
            & ~ c1_1(a252)
            & c0_1(a252)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a251)
            & ~ c1_1(a251)
            & c2_1(a251)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a249)
            & c3_1(a249)
            & c0_1(a249)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a248)
            & ~ c0_1(a248)
            & c3_1(a248)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a245)
            & c2_1(a245)
            & c0_1(a245)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a244)
            & ~ c1_1(a244)
            & c0_1(a244)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a242)
            & ~ c0_1(a242)
            & c2_1(a242)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a241)
            & c3_1(a241)
            & c2_1(a241)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a239)
            & ~ c1_1(a239)
            & c3_1(a239)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a238)
            & ~ c2_1(a238)
            & c0_1(a238)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a236)
            & c3_1(a236)
            & c1_1(a236)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a235)
            & ~ c1_1(a235)
            & ~ c0_1(a235)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a234)
            & ~ c0_1(a234)
            & c1_1(a234)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp9
        | hskp11
        | hskp5 )
      & ( hskp24
        | hskp13
        | hskp23 )
      & ( hskp14
        | hskp13
        | hskp2 )
      & ( hskp11
        | hskp18
        | hskp19 )
      & ( hskp24
        | hskp13
        | hskp8 )
      & ( hskp11
        | hskp13
        | hskp8 )
      & ( hskp15
        | hskp7
        | hskp8 )
      & ( hskp9
        | hskp19
        | hskp8 )
      & ( hskp5
        | hskp18
        | hskp22 )
      & ( hskp2
        | hskp22
        | hskp28 )
      & ( hskp27
        | hskp24
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp4
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp21
        | hskp31
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | c3_1(X112) ) ) )
      & ( hskp29
        | hskp19
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp26
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c1_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp15
        | hskp19
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c3_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp4
        | hskp31
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp2
        | hskp20
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp20
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp7
        | hskp22
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | c3_1(X103)
              | c2_1(X103) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c1_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp5
        | hskp25
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp7
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp3
        | hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp5
        | hskp10
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp17
        | hskp9
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | c3_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp5
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp25
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | c3_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp29
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp11
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c1_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp29
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp10
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp11
        | hskp16
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp18
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp4
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp20
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp24
        | hskp11
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp24
        | hskp23
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp17
        | hskp19
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp31
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c0_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp18
        | hskp22
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp11
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | ~ c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp21
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp13
        | hskp8
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp20
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c0_1(X55)
              | c3_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp16
        | hskp19
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp4
        | hskp28
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp9
        | hskp18
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp10
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp17
        | hskp29
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp14
        | hskp31
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp16
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c1_1(X46)
              | c3_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp15
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp14
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp9
        | hskp30
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp11
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp13
        | hskp12
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp11
        | hskp7
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp10
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp9
        | hskp31
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp31
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp8
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c0_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp7
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp30
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c3_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp6
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp5
        | hskp29
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp4
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c2_1(X17)
              | ~ c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp3
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c1_1(X15)
              | ~ c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp28
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp2
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c1_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | ~ c1_1(X6)
              | c2_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a246)
          & c2_1(a246)
          & c0_1(a246)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a243)
          & c1_1(a243)
          & c0_1(a243)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a240)
          & c2_1(a240)
          & c1_1(a240)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a237)
          & c1_1(a237)
          & c0_1(a237)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a322)
          & ~ c2_1(a322)
          & ~ c1_1(a322)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a314)
          & ~ c0_1(a314)
          & c2_1(a314)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a294)
          & c2_1(a294)
          & c1_1(a294)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a282)
          & ~ c0_1(a282)
          & c3_1(a282)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a281)
          & c3_1(a281)
          & c1_1(a281)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a276)
          & c1_1(a276)
          & c0_1(a276)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a274)
          & c2_1(a274)
          & c0_1(a274)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a271)
          & c1_1(a271)
          & c0_1(a271)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a269)
          & c3_1(a269)
          & c0_1(a269)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a265)
          & c2_1(a265)
          & c1_1(a265)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a263)
          & ~ c1_1(a263)
          & ~ c0_1(a263)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a259)
          & ~ c2_1(a259)
          & c1_1(a259)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a258)
          & ~ c2_1(a258)
          & ~ c0_1(a258)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a257)
          & c3_1(a257)
          & c2_1(a257)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a253)
          & ~ c0_1(a253)
          & c1_1(a253)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a252)
          & ~ c1_1(a252)
          & c0_1(a252)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a251)
          & ~ c1_1(a251)
          & c2_1(a251)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a249)
          & c3_1(a249)
          & c0_1(a249)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a248)
          & ~ c0_1(a248)
          & c3_1(a248)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a245)
          & c2_1(a245)
          & c0_1(a245)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a244)
          & ~ c1_1(a244)
          & c0_1(a244)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a242)
          & ~ c0_1(a242)
          & c2_1(a242)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a241)
          & c3_1(a241)
          & c2_1(a241)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a239)
          & ~ c1_1(a239)
          & c3_1(a239)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a238)
          & ~ c2_1(a238)
          & c0_1(a238)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c0_1(a236)
          & c3_1(a236)
          & c1_1(a236)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a235)
          & ~ c1_1(a235)
          & ~ c0_1(a235)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a234)
          & ~ c0_1(a234)
          & c1_1(a234)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.xDXPYpOizB/Vampire---4.8_5006',co1) ).

fof(f1037,plain,
    ( ~ spl0_7
    | spl0_154 ),
    inference(avatar_split_clause,[],[f16,f1034,f281]) ).

fof(f16,plain,
    ( c1_1(a236)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1032,plain,
    ( ~ spl0_7
    | spl0_153 ),
    inference(avatar_split_clause,[],[f17,f1029,f281]) ).

fof(f17,plain,
    ( c3_1(a236)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1021,plain,
    ( ~ spl0_38
    | spl0_151 ),
    inference(avatar_split_clause,[],[f20,f1018,f415]) ).

fof(f415,plain,
    ( spl0_38
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f20,plain,
    ( c0_1(a238)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1016,plain,
    ( ~ spl0_38
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f21,f1013,f415]) ).

fof(f21,plain,
    ( ~ c2_1(a238)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1011,plain,
    ( ~ spl0_38
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f22,f1008,f415]) ).

fof(f22,plain,
    ( ~ c3_1(a238)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1005,plain,
    ( ~ spl0_20
    | spl0_148 ),
    inference(avatar_split_clause,[],[f24,f1002,f340]) ).

fof(f340,plain,
    ( spl0_20
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f24,plain,
    ( c3_1(a239)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1000,plain,
    ( ~ spl0_20
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f25,f997,f340]) ).

fof(f25,plain,
    ( ~ c1_1(a239)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f995,plain,
    ( ~ spl0_20
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f26,f992,f340]) ).

fof(f26,plain,
    ( ~ c2_1(a239)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f989,plain,
    ( ~ spl0_1
    | spl0_145 ),
    inference(avatar_split_clause,[],[f28,f986,f255]) ).

fof(f255,plain,
    ( spl0_1
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f28,plain,
    ( c2_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f984,plain,
    ( ~ spl0_1
    | spl0_144 ),
    inference(avatar_split_clause,[],[f29,f981,f255]) ).

fof(f29,plain,
    ( c3_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f979,plain,
    ( ~ spl0_1
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f30,f976,f255]) ).

fof(f30,plain,
    ( ~ c0_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f957,plain,
    ( ~ spl0_12
    | spl0_139 ),
    inference(avatar_split_clause,[],[f36,f954,f305]) ).

fof(f305,plain,
    ( spl0_12
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f36,plain,
    ( c0_1(a244)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f952,plain,
    ( ~ spl0_12
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f37,f949,f305]) ).

fof(f37,plain,
    ( ~ c1_1(a244)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_12
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f38,f944,f305]) ).

fof(f38,plain,
    ( ~ c2_1(a244)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_39
    | spl0_130 ),
    inference(avatar_split_clause,[],[f48,f906,f420]) ).

fof(f420,plain,
    ( spl0_39
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f48,plain,
    ( c0_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_39
    | spl0_129 ),
    inference(avatar_split_clause,[],[f49,f901,f420]) ).

fof(f49,plain,
    ( c3_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_39
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f50,f896,f420]) ).

fof(f50,plain,
    ( ~ c2_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_2
    | spl0_127 ),
    inference(avatar_split_clause,[],[f52,f890,f259]) ).

fof(f259,plain,
    ( spl0_2
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f52,plain,
    ( c2_1(a251)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f53,f885,f259]) ).

fof(f53,plain,
    ( ~ c1_1(a251)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_2
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f54,f880,f259]) ).

fof(f54,plain,
    ( ~ c3_1(a251)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( ~ spl0_37
    | spl0_124 ),
    inference(avatar_split_clause,[],[f56,f874,f411]) ).

fof(f411,plain,
    ( spl0_37
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f56,plain,
    ( c0_1(a252)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_37
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f57,f869,f411]) ).

fof(f57,plain,
    ( ~ c1_1(a252)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_37
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f58,f864,f411]) ).

fof(f58,plain,
    ( ~ c3_1(a252)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f813,plain,
    ( ~ spl0_46
    | spl0_112 ),
    inference(avatar_split_clause,[],[f72,f810,f453]) ).

fof(f453,plain,
    ( spl0_46
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f72,plain,
    ( c1_1(a259)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_46
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f73,f805,f453]) ).

fof(f73,plain,
    ( ~ c2_1(a259)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_46
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f74,f800,f453]) ).

fof(f74,plain,
    ( ~ c3_1(a259)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( ~ spl0_41
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f76,f794,f428]) ).

fof(f428,plain,
    ( spl0_41
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f76,plain,
    ( ~ c0_1(a263)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( ~ spl0_41
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f78,f784,f428]) ).

fof(f78,plain,
    ( ~ c3_1(a263)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f781,plain,
    ( ~ spl0_10
    | spl0_106 ),
    inference(avatar_split_clause,[],[f80,f778,f294]) ).

fof(f294,plain,
    ( spl0_10
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f80,plain,
    ( c1_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f776,plain,
    ( ~ spl0_10
    | spl0_105 ),
    inference(avatar_split_clause,[],[f81,f773,f294]) ).

fof(f81,plain,
    ( c2_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( ~ spl0_10
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f82,f768,f294]) ).

fof(f82,plain,
    ( ~ c0_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_9
    | spl0_103 ),
    inference(avatar_split_clause,[],[f84,f762,f290]) ).

fof(f290,plain,
    ( spl0_9
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f84,plain,
    ( c0_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_9
    | spl0_102 ),
    inference(avatar_split_clause,[],[f85,f757,f290]) ).

fof(f85,plain,
    ( c3_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( ~ spl0_9
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f86,f752,f290]) ).

fof(f86,plain,
    ( ~ c1_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_30
    | spl0_100 ),
    inference(avatar_split_clause,[],[f88,f746,f382]) ).

fof(f382,plain,
    ( spl0_30
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f88,plain,
    ( c0_1(a271)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_30
    | spl0_99 ),
    inference(avatar_split_clause,[],[f89,f741,f382]) ).

fof(f89,plain,
    ( c1_1(a271)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( ~ spl0_30
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f90,f736,f382]) ).

fof(f90,plain,
    ( ~ c2_1(a271)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f733,plain,
    ( ~ spl0_24
    | spl0_97 ),
    inference(avatar_split_clause,[],[f92,f730,f356]) ).

fof(f356,plain,
    ( spl0_24
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f92,plain,
    ( c0_1(a274)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f728,plain,
    ( ~ spl0_24
    | spl0_96 ),
    inference(avatar_split_clause,[],[f93,f725,f356]) ).

fof(f93,plain,
    ( c2_1(a274)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_24
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f94,f720,f356]) ).

fof(f94,plain,
    ( ~ c3_1(a274)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f718,plain,
    ( ~ spl0_14
    | spl0_16 ),
    inference(avatar_split_clause,[],[f95,f325,f315]) ).

fof(f315,plain,
    ( spl0_14
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f95,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_14
    | spl0_94 ),
    inference(avatar_split_clause,[],[f96,f714,f315]) ).

fof(f96,plain,
    ( c0_1(a276)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f712,plain,
    ( ~ spl0_14
    | spl0_93 ),
    inference(avatar_split_clause,[],[f97,f709,f315]) ).

fof(f97,plain,
    ( c1_1(a276)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f707,plain,
    ( ~ spl0_14
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f98,f704,f315]) ).

fof(f98,plain,
    ( ~ c3_1(a276)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl0_6
    | spl0_88 ),
    inference(avatar_split_clause,[],[f104,f682,f276]) ).

fof(f276,plain,
    ( spl0_6
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f104,plain,
    ( c3_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_6
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f105,f677,f276]) ).

fof(f105,plain,
    ( ~ c0_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_6
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f672,f276]) ).

fof(f106,plain,
    ( ~ c2_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl0_34
    | spl0_85 ),
    inference(avatar_split_clause,[],[f108,f666,f399]) ).

fof(f399,plain,
    ( spl0_34
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f108,plain,
    ( c1_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_34
    | spl0_84 ),
    inference(avatar_split_clause,[],[f109,f661,f399]) ).

fof(f109,plain,
    ( c2_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_34
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f656,f399]) ).

fof(f110,plain,
    ( ~ c3_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( ~ spl0_28
    | spl0_82 ),
    inference(avatar_split_clause,[],[f112,f650,f372]) ).

fof(f372,plain,
    ( spl0_28
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f112,plain,
    ( c2_1(a314)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( ~ spl0_28
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f113,f645,f372]) ).

fof(f113,plain,
    ( ~ c0_1(a314)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( ~ spl0_28
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f114,f640,f372]) ).

fof(f114,plain,
    ( ~ c3_1(a314)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_18
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f116,f634,f332]) ).

fof(f332,plain,
    ( spl0_18
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f116,plain,
    ( ~ c1_1(a322)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_18
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f117,f629,f332]) ).

fof(f117,plain,
    ( ~ c2_1(a322)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_18
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f118,f624,f332]) ).

fof(f118,plain,
    ( ~ c3_1(a322)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f119,f325,f320]) ).

fof(f320,plain,
    ( spl0_15
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f119,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( ~ spl0_15
    | spl0_76 ),
    inference(avatar_split_clause,[],[f120,f618,f320]) ).

fof(f120,plain,
    ( c0_1(a237)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f616,plain,
    ( ~ spl0_15
    | spl0_75 ),
    inference(avatar_split_clause,[],[f121,f613,f320]) ).

fof(f121,plain,
    ( c1_1(a237)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f611,plain,
    ( ~ spl0_15
    | spl0_74 ),
    inference(avatar_split_clause,[],[f122,f608,f320]) ).

fof(f122,plain,
    ( c2_1(a237)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_26
    | spl0_73 ),
    inference(avatar_split_clause,[],[f124,f602,f364]) ).

fof(f364,plain,
    ( spl0_26
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f124,plain,
    ( c1_1(a240)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f600,plain,
    ( ~ spl0_26
    | spl0_72 ),
    inference(avatar_split_clause,[],[f125,f597,f364]) ).

fof(f125,plain,
    ( c2_1(a240)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f595,plain,
    ( ~ spl0_26
    | spl0_71 ),
    inference(avatar_split_clause,[],[f126,f592,f364]) ).

fof(f126,plain,
    ( c3_1(a240)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_23
    | spl0_67 ),
    inference(avatar_split_clause,[],[f132,f570,f352]) ).

fof(f352,plain,
    ( spl0_23
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f132,plain,
    ( c0_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_23
    | spl0_66 ),
    inference(avatar_split_clause,[],[f133,f565,f352]) ).

fof(f133,plain,
    ( c2_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl0_23
    | spl0_65 ),
    inference(avatar_split_clause,[],[f134,f560,f352]) ).

fof(f134,plain,
    ( c3_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( spl0_55
    | spl0_53
    | ~ spl0_16
    | spl0_27 ),
    inference(avatar_split_clause,[],[f229,f369,f325,f491,f502]) ).

fof(f229,plain,
    ! [X78,X76,X77] :
      ( ~ c3_1(X76)
      | ~ c1_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c3_1(X77)
      | c0_1(X77)
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X78,X76,X77] :
      ( ~ c3_1(X76)
      | ~ c1_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c3_1(X77)
      | c0_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( spl0_54
    | ~ spl0_16
    | spl0_22
    | spl0_46 ),
    inference(avatar_split_clause,[],[f232,f453,f349,f325,f496]) ).

fof(f232,plain,
    ! [X70,X71] :
      ( hskp16
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X70,X71] :
      ( hskp16
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_53
    | ~ spl0_16
    | spl0_49
    | spl0_39 ),
    inference(avatar_split_clause,[],[f233,f420,f468,f325,f491]) ).

fof(f233,plain,
    ! [X66,X67] :
      ( hskp10
      | ~ c3_1(X66)
      | ~ c2_1(X66)
      | c0_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X66,X67] :
      ( hskp10
      | ~ c3_1(X66)
      | ~ c2_1(X66)
      | c0_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_16
    | spl0_52
    | spl0_15
    | spl0_20 ),
    inference(avatar_split_clause,[],[f164,f340,f320,f486,f325]) ).

fof(f164,plain,
    ! [X64] :
      ( hskp4
      | hskp28
      | ~ c2_1(X64)
      | c3_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( ~ spl0_16
    | spl0_52
    | spl0_9
    | spl0_46 ),
    inference(avatar_split_clause,[],[f165,f453,f290,f486,f325]) ).

fof(f165,plain,
    ! [X63] :
      ( hskp16
      | hskp19
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_51
    | ~ spl0_16
    | spl0_42
    | spl0_30 ),
    inference(avatar_split_clause,[],[f234,f382,f433,f325,f481]) ).

fof(f234,plain,
    ! [X62,X61] :
      ( hskp20
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X62,X61] :
      ( hskp20
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_50
    | ~ spl0_16
    | spl0_47
    | spl0_24 ),
    inference(avatar_split_clause,[],[f235,f356,f459,f325,f475]) ).

fof(f235,plain,
    ! [X58,X59] :
      ( hskp21
      | c3_1(X58)
      | c2_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X58,X59] :
      ( hskp21
      | c3_1(X58)
      | c2_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_50
    | ~ spl0_16
    | spl0_17
    | spl0_2 ),
    inference(avatar_split_clause,[],[f236,f259,f329,f325,f475]) ).

fof(f236,plain,
    ! [X56,X57] :
      ( hskp11
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X56,X57] :
      ( hskp11
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( ~ spl0_16
    | spl0_50
    | spl0_14
    | spl0_10 ),
    inference(avatar_split_clause,[],[f170,f294,f315,f475,f325]) ).

fof(f170,plain,
    ! [X55] :
      ( hskp18
      | hskp22
      | ~ c3_1(X55)
      | ~ c1_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_49
    | ~ spl0_16
    | spl0_35
    | spl0_23 ),
    inference(avatar_split_clause,[],[f237,f352,f404,f325,f468]) ).

fof(f237,plain,
    ! [X54,X53] :
      ( hskp31
      | ~ c1_1(X53)
      | ~ c0_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c2_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X54,X53] :
      ( hskp31
      | ~ c1_1(X53)
      | ~ c0_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c2_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( ~ spl0_16
    | spl0_49
    | spl0_9
    | spl0_41 ),
    inference(avatar_split_clause,[],[f172,f428,f290,f468,f325]) ).

fof(f172,plain,
    ! [X52] :
      ( hskp17
      | hskp19
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( ~ spl0_16
    | spl0_49
    | spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f174,f276,f259,f468,f325]) ).

fof(f174,plain,
    ! [X50] :
      ( hskp24
      | hskp11
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_47
    | spl0_45
    | ~ spl0_16
    | spl0_36 ),
    inference(avatar_split_clause,[],[f238,f408,f325,f450,f459]) ).

fof(f238,plain,
    ! [X48,X49,X47] :
      ( ~ c3_1(X47)
      | ~ c0_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X48,X49,X47] :
      ( ~ c3_1(X47)
      | ~ c0_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_47
    | ~ spl0_16
    | spl0_40
    | spl0_30 ),
    inference(avatar_split_clause,[],[f239,f382,f425,f325,f459]) ).

fof(f239,plain,
    ! [X46,X45] :
      ( hskp20
      | ~ c2_1(X45)
      | c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | c2_1(X46)
      | c1_1(X46) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X46,X45] :
      ( hskp20
      | ~ c2_1(X45)
      | c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_47
    | ~ spl0_16
    | spl0_48
    | spl0_20 ),
    inference(avatar_split_clause,[],[f240,f340,f462,f325,f459]) ).

fof(f240,plain,
    ! [X44,X43] :
      ( hskp4
      | ~ c2_1(X43)
      | ~ c1_1(X43)
      | ~ c0_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | c2_1(X44)
      | c1_1(X44) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X44,X43] :
      ( hskp4
      | ~ c2_1(X43)
      | ~ c1_1(X43)
      | ~ c0_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f457,plain,
    ( spl0_45
    | ~ spl0_16
    | spl0_44
    | spl0_10 ),
    inference(avatar_split_clause,[],[f241,f294,f443,f325,f450]) ).

fof(f241,plain,
    ! [X41,X42] :
      ( hskp18
      | ~ c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X41,X42] :
      ( hskp18
      | ~ c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( ~ spl0_16
    | spl0_45
    | spl0_46
    | spl0_2 ),
    inference(avatar_split_clause,[],[f179,f259,f453,f450,f325]) ).

fof(f179,plain,
    ! [X40] :
      ( hskp11
      | hskp16
      | ~ c0_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( spl0_44
    | spl0_29
    | ~ spl0_16
    | spl0_22 ),
    inference(avatar_split_clause,[],[f242,f349,f325,f377,f443]) ).

fof(f242,plain,
    ! [X38,X39,X37] :
      ( ~ c2_1(X37)
      | ~ c1_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X38)
      | c3_1(X38)
      | c2_1(X38)
      | ~ c3_1(X39)
      | c2_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X38,X39,X37] :
      ( ~ c2_1(X37)
      | ~ c1_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X38)
      | c3_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( spl0_44
    | ~ spl0_16
    | spl0_29
    | spl0_39 ),
    inference(avatar_split_clause,[],[f243,f420,f377,f325,f443]) ).

fof(f243,plain,
    ! [X36,X35] :
      ( hskp10
      | ~ c1_1(X35)
      | c3_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | c2_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X36,X35] :
      ( hskp10
      | ~ c1_1(X35)
      | c3_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( spl0_44
    | ~ spl0_16
    | spl0_22
    | spl0_2 ),
    inference(avatar_split_clause,[],[f245,f259,f349,f325,f443]) ).

fof(f245,plain,
    ! [X31,X32] :
      ( hskp11
      | ~ c2_1(X31)
      | ~ c1_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | c2_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X31,X32] :
      ( hskp11
      | ~ c2_1(X31)
      | ~ c1_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_43
    | spl0_36
    | ~ spl0_16
    | spl0_31 ),
    inference(avatar_split_clause,[],[f246,f387,f325,f408,f438]) ).

fof(f246,plain,
    ! [X28,X29,X30] :
      ( ~ c3_1(X28)
      | ~ c0_1(X28)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X28,X29,X30] :
      ( ~ c3_1(X28)
      | ~ c0_1(X28)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( ~ spl0_16
    | spl0_43
    | spl0_26 ),
    inference(avatar_split_clause,[],[f185,f364,f438,f325]) ).

fof(f185,plain,
    ! [X27] :
      ( hskp29
      | ~ c0_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_40
    | ~ spl0_16
    | spl0_36
    | spl0_34 ),
    inference(avatar_split_clause,[],[f247,f399,f408,f325,f425]) ).

fof(f247,plain,
    ! [X26,X25] :
      ( hskp25
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X26,X25] :
      ( hskp25
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( spl0_40
    | ~ spl0_16
    | spl0_42
    | spl0_1 ),
    inference(avatar_split_clause,[],[f248,f255,f433,f325,f425]) ).

fof(f248,plain,
    ! [X24,X23] :
      ( hskp5
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c3_1(X24)
      | c1_1(X24) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X24,X23] :
      ( hskp5
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c3_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( ~ spl0_16
    | spl0_36
    | spl0_39
    | spl0_1 ),
    inference(avatar_split_clause,[],[f189,f255,f420,f408,f325]) ).

fof(f189,plain,
    ! [X21] :
      ( hskp5
      | hskp10
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_16
    | spl0_36
    | spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f190,f415,f411,f408,f325]) ).

fof(f190,plain,
    ! [X20] :
      ( hskp3
      | hskp12
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_33
    | ~ spl0_16
    | spl0_35
    | spl0_12 ),
    inference(avatar_split_clause,[],[f249,f305,f404,f325,f396]) ).

fof(f249,plain,
    ! [X18,X19] :
      ( hskp7
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X18,X19] :
      ( hskp7
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( spl0_32
    | spl0_27
    | ~ spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f250,f337,f325,f369,f391]) ).

fof(f250,plain,
    ! [X16,X14,X15] :
      ( ~ c3_1(X14)
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ! [X16,X14,X15] :
      ( ~ c3_1(X14)
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( ~ spl0_16
    | spl0_32
    | spl0_14
    | spl0_12 ),
    inference(avatar_split_clause,[],[f194,f305,f315,f391,f325]) ).

fof(f194,plain,
    ! [X13] :
      ( hskp7
      | hskp22
      | ~ c0_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( spl0_29
    | ~ spl0_16
    | spl0_31
    | spl0_30 ),
    inference(avatar_split_clause,[],[f251,f382,f387,f325,f377]) ).

fof(f251,plain,
    ! [X11,X12] :
      ( hskp20
      | ~ c3_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | ~ c1_1(X12)
      | c3_1(X12)
      | c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X11,X12] :
      ( hskp20
      | ~ c3_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | ~ c1_1(X12)
      | c3_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_30
    | spl0_7 ),
    inference(avatar_split_clause,[],[f196,f281,f382,f377,f325]) ).

fof(f196,plain,
    ! [X10] :
      ( hskp2
      | hskp20
      | ~ c1_1(X10)
      | c3_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f380,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_23
    | spl0_20 ),
    inference(avatar_split_clause,[],[f197,f340,f352,f377,f325]) ).

fof(f197,plain,
    ! [X9] :
      ( hskp4
      | hskp31
      | ~ c1_1(X9)
      | c3_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( spl0_27
    | ~ spl0_16
    | spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f252,f372,f337,f325,f369]) ).

fof(f252,plain,
    ! [X6,X7] :
      ( hskp26
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7) ),
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f199,plain,
    ! [X6,X7] :
      ( hskp26
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f367,plain,
    ( ~ spl0_16
    | spl0_25
    | spl0_9
    | spl0_26 ),
    inference(avatar_split_clause,[],[f200,f364,f290,f361,f325]) ).

fof(f200,plain,
    ! [X5] :
      ( hskp29
      | hskp19
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f359,plain,
    ( ~ spl0_16
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f201,f356,f352,f349,f325]) ).

fof(f201,plain,
    ! [X4] :
      ( hskp21
      | hskp31
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f343,plain,
    ( ~ spl0_16
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f203,f340,f337,f325]) ).

fof(f203,plain,
    ! [X1] :
      ( hskp4
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f335,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_6
    | spl0_18 ),
    inference(avatar_split_clause,[],[f204,f332,f276,f329,f325]) ).

fof(f204,plain,
    ! [X0] :
      ( hskp27
      | hskp24
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f323,plain,
    ( spl0_15
    | spl0_14
    | spl0_7 ),
    inference(avatar_split_clause,[],[f205,f281,f315,f320]) ).

fof(f205,plain,
    ( hskp2
    | hskp22
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f297,plain,
    ( spl0_9
    | spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f211,f259,f294,f290]) ).

fof(f211,plain,
    ( hskp11
    | hskp18
    | hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN502+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.38  % Computer : n011.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Wed Aug 30 15:55:12 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.24/0.44  % (5242)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (5274)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.24/0.45  % (5275)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.24/0.45  % (5276)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 Vampire---4 for (476ds/0Mi)
% 0.24/0.45  % (5277)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.24/0.45  % (5278)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.24/0.45  % (5279)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.24/0.45  % (5280)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.24/0.45  Detected minimum model sizes of [1]
% 0.24/0.45  Detected maximum model sizes of [32]
% 0.24/0.45  TRYING [1]
% 0.24/0.45  Detected minimum model sizes of [1]
% 0.24/0.45  Detected maximum model sizes of [32]
% 0.24/0.45  TRYING [1]
% 0.24/0.45  Detected minimum model sizes of [1]
% 0.24/0.45  Detected maximum model sizes of [32]
% 0.24/0.45  TRYING [1]
% 0.24/0.45  TRYING [2]
% 0.24/0.45  TRYING [2]
% 0.24/0.45  TRYING [2]
% 0.24/0.46  Detected minimum model sizes of [1]
% 0.24/0.46  Detected maximum model sizes of [32]
% 0.24/0.46  TRYING [3]
% 0.24/0.46  TRYING [1]
% 0.24/0.46  TRYING [3]
% 0.24/0.46  TRYING [3]
% 0.24/0.46  TRYING [2]
% 0.24/0.46  TRYING [4]
% 0.24/0.46  TRYING [4]
% 0.24/0.46  TRYING [4]
% 0.24/0.46  TRYING [3]
% 0.24/0.47  TRYING [4]
% 0.24/0.48  TRYING [5]
% 0.24/0.48  TRYING [5]
% 0.24/0.48  TRYING [5]
% 0.24/0.49  % (5279)First to succeed.
% 0.24/0.49  TRYING [5]
% 0.24/0.50  % (5279)Refutation found. Thanks to Tanya!
% 0.24/0.50  % SZS status Theorem for Vampire---4
% 0.24/0.50  % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.51  % (5279)------------------------------
% 0.24/0.51  % (5279)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.51  % (5279)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.51  % (5279)Termination reason: Refutation
% 0.24/0.51  
% 0.24/0.51  % (5279)Memory used [KB]: 7291
% 0.24/0.51  % (5279)Time elapsed: 0.052 s
% 0.24/0.51  % (5279)------------------------------
% 0.24/0.51  % (5279)------------------------------
% 0.24/0.51  % (5242)Success in time 0.121 s
% 0.24/0.51  % Vampire---4.8 exiting
%------------------------------------------------------------------------------