TSTP Solution File: SYN509+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN509+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:11:12 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  135
% Syntax   : Number of formulae    :  740 (   1 unt;   0 def)
%            Number of atoms       : 7452 (   0 equ)
%            Maximal formula atoms :  799 (  10 avg)
%            Number of connectives : 10326 (3614   ~;4820   |;1218   &)
%                                         ( 134 <=>; 540  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  171 ( 170 usr; 167 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1028 (1028   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3194,plain,
    $false,
    inference(avatar_sat_refutation,[],[f296,f305,f314,f319,f331,f348,f352,f362,f370,f374,f378,f383,f387,f399,f406,f410,f416,f424,f428,f436,f441,f442,f446,f451,f452,f456,f460,f471,f479,f483,f484,f493,f494,f495,f496,f499,f503,f504,f505,f518,f520,f522,f527,f529,f530,f566,f571,f576,f582,f587,f592,f598,f603,f608,f630,f635,f640,f646,f651,f656,f662,f667,f672,f678,f683,f688,f726,f731,f736,f737,f742,f747,f752,f758,f763,f768,f774,f779,f784,f790,f795,f800,f822,f827,f832,f838,f843,f848,f849,f854,f859,f864,f870,f875,f880,f886,f896,f918,f923,f928,f934,f939,f944,f950,f955,f960,f961,f966,f971,f976,f998,f1003,f1008,f1014,f1019,f1024,f1030,f1035,f1046,f1056,f1079,f1111,f1119,f1127,f1152,f1211,f1279,f1328,f1330,f1343,f1359,f1371,f1380,f1402,f1430,f1447,f1459,f1535,f1540,f1541,f1542,f1567,f1573,f1579,f1609,f1623,f1627,f1750,f1758,f1796,f1801,f1861,f1939,f1985,f2045,f2065,f2121,f2123,f2127,f2130,f2212,f2305,f2308,f2345,f2352,f2425,f2447,f2491,f2561,f2615,f2621,f2635,f2721,f2725,f2739,f2757,f2758,f2970,f2981,f3012,f3014,f3026,f3034,f3061,f3097,f3099,f3105,f3106,f3158,f3176,f3178,f3191]) ).

fof(f3191,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | spl0_77
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f3190]) ).

fof(f3190,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43
    | spl0_77
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f3170,f629]) ).

fof(f629,plain,
    ( ~ c3_1(a492)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f627,plain,
    ( spl0_77
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f3170,plain,
    ( c3_1(a492)
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_169 ),
    inference(resolution,[],[f3159,f2351]) ).

fof(f2351,plain,
    ( c0_1(a492)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f2349]) ).

fof(f2349,plain,
    ( spl0_169
  <=> c0_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f3159,plain,
    ( ! [X16] :
        ( ~ c0_1(X16)
        | c3_1(X16) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f405,f440]) ).

fof(f440,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | c3_1(X32) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl0_43
  <=> ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | c3_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f405,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | c3_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl0_35
  <=> ! [X16] :
        ( ~ c1_1(X16)
        | c3_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3178,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | spl0_137
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3177]) ).

fof(f3177,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3163,f949]) ).

fof(f949,plain,
    ( ~ c3_1(a442)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f947,plain,
    ( spl0_137
  <=> c3_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3163,plain,
    ( c3_1(a442)
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(resolution,[],[f3159,f959]) ).

fof(f959,plain,
    ( c0_1(a442)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f957,plain,
    ( spl0_139
  <=> c0_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3176,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | spl0_140
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f3175]) ).

fof(f3175,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43
    | spl0_140
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f3162,f965]) ).

fof(f965,plain,
    ( ~ c3_1(a441)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f963,plain,
    ( spl0_140
  <=> c3_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3162,plain,
    ( c3_1(a441)
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(resolution,[],[f3159,f975]) ).

fof(f975,plain,
    ( c0_1(a441)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl0_142
  <=> c0_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f3158,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | ~ spl0_46
    | spl0_152
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3157]) ).

fof(f3157,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_46
    | spl0_152
    | spl0_153 ),
    inference(subsumption_resolution,[],[f3152,f1029]) ).

fof(f1029,plain,
    ( ~ c2_1(a433)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1027,plain,
    ( spl0_152
  <=> c2_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3152,plain,
    ( c2_1(a433)
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_46
    | spl0_153 ),
    inference(resolution,[],[f3151,f1034]) ).

fof(f1034,plain,
    ( ~ c1_1(a433)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1032,plain,
    ( spl0_153
  <=> c1_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3151,plain,
    ( ! [X46] :
        ( c1_1(X46)
        | c2_1(X46) )
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f455,f3139]) ).

fof(f3139,plain,
    ( ! [X37] :
        ( c1_1(X37)
        | ~ c3_1(X37) )
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f445,f402]) ).

fof(f402,plain,
    ( ! [X17] :
        ( c1_1(X17)
        | ~ c3_1(X17)
        | ~ c2_1(X17) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f401,plain,
    ( spl0_34
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f445,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl0_44
  <=> ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f455,plain,
    ( ! [X46] :
        ( c1_1(X46)
        | c3_1(X46)
        | c2_1(X46) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl0_46
  <=> ! [X46] :
        ( c3_1(X46)
        | c1_1(X46)
        | c2_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3106,plain,
    ( ~ spl0_159
    | spl0_98
    | ~ spl0_30
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3069,f749,f385,f739,f1242]) ).

fof(f1242,plain,
    ( spl0_159
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f739,plain,
    ( spl0_98
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f385,plain,
    ( spl0_30
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f749,plain,
    ( spl0_100
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f3069,plain,
    ( c2_1(a467)
    | ~ c3_1(a467)
    | ~ spl0_30
    | ~ spl0_100 ),
    inference(resolution,[],[f386,f751]) ).

fof(f751,plain,
    ( c0_1(a467)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f386,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f3105,plain,
    ( ~ spl0_96
    | spl0_95
    | ~ spl0_30
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f3070,f733,f385,f723,f728]) ).

fof(f728,plain,
    ( spl0_96
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f723,plain,
    ( spl0_95
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f733,plain,
    ( spl0_97
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3070,plain,
    ( c2_1(a472)
    | ~ c3_1(a472)
    | ~ spl0_30
    | ~ spl0_97 ),
    inference(resolution,[],[f386,f735]) ).

fof(f735,plain,
    ( c0_1(a472)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f3099,plain,
    ( ~ spl0_30
    | ~ spl0_38
    | spl0_113
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f3098]) ).

fof(f3098,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_38
    | spl0_113
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f3088,f831]) ).

fof(f831,plain,
    ( c0_1(a452)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_115
  <=> c0_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3088,plain,
    ( ~ c0_1(a452)
    | ~ spl0_30
    | ~ spl0_38
    | spl0_113 ),
    inference(resolution,[],[f3079,f821]) ).

fof(f821,plain,
    ( ~ c2_1(a452)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f819,plain,
    ( spl0_113
  <=> c2_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3079,plain,
    ( ! [X22] :
        ( c2_1(X22)
        | ~ c0_1(X22) )
    | ~ spl0_30
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f419,f386]) ).

fof(f419,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c2_1(X22)
        | c3_1(X22) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl0_38
  <=> ! [X22] :
        ( ~ c0_1(X22)
        | c2_1(X22)
        | c3_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f3097,plain,
    ( ~ spl0_30
    | ~ spl0_38
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f3096]) ).

fof(f3096,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_38
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f3085,f975]) ).

fof(f3085,plain,
    ( ~ c0_1(a441)
    | ~ spl0_30
    | ~ spl0_38
    | spl0_141 ),
    inference(resolution,[],[f3079,f970]) ).

fof(f970,plain,
    ( ~ c2_1(a441)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl0_141
  <=> c2_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3061,plain,
    ( ~ spl0_166
    | ~ spl0_16
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f3060,f600,f595,f325,f2132]) ).

fof(f2132,plain,
    ( spl0_166
  <=> c1_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f325,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f595,plain,
    ( spl0_71
  <=> c3_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f600,plain,
    ( spl0_72
  <=> c2_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3060,plain,
    ( ~ c1_1(a437)
    | ~ spl0_16
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f3055,f597]) ).

fof(f597,plain,
    ( c3_1(a437)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f3055,plain,
    ( ~ c1_1(a437)
    | ~ c3_1(a437)
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(resolution,[],[f326,f602]) ).

fof(f602,plain,
    ( c2_1(a437)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f326,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f3034,plain,
    ( ~ spl0_166
    | ~ spl0_73
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2588,f595,f350,f605,f2132]) ).

fof(f605,plain,
    ( spl0_73
  <=> c0_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f350,plain,
    ( spl0_22
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2588,plain,
    ( ~ c0_1(a437)
    | ~ c1_1(a437)
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(resolution,[],[f351,f597]) ).

fof(f351,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f3026,plain,
    ( spl0_132
    | ~ spl0_53
    | spl0_131
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3025,f925,f915,f486,f920]) ).

fof(f920,plain,
    ( spl0_132
  <=> c0_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f486,plain,
    ( spl0_53
  <=> ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f915,plain,
    ( spl0_131
  <=> c3_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f925,plain,
    ( spl0_133
  <=> c2_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f3025,plain,
    ( c0_1(a444)
    | ~ spl0_53
    | spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2994,f917]) ).

fof(f917,plain,
    ( ~ c3_1(a444)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f2994,plain,
    ( c0_1(a444)
    | c3_1(a444)
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(resolution,[],[f487,f927]) ).

fof(f927,plain,
    ( c2_1(a444)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f487,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f3014,plain,
    ( spl0_99
    | ~ spl0_45
    | spl0_98
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3013,f749,f739,f449,f744]) ).

fof(f744,plain,
    ( spl0_99
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f449,plain,
    ( spl0_45
  <=> ! [X42] :
        ( ~ c0_1(X42)
        | c1_1(X42)
        | c2_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f3013,plain,
    ( c1_1(a467)
    | ~ spl0_45
    | spl0_98
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2987,f741]) ).

fof(f741,plain,
    ( ~ c2_1(a467)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f2987,plain,
    ( c1_1(a467)
    | c2_1(a467)
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(resolution,[],[f450,f751]) ).

fof(f450,plain,
    ( ! [X42] :
        ( ~ c0_1(X42)
        | c1_1(X42)
        | c2_1(X42) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f3012,plain,
    ( ~ spl0_78
    | ~ spl0_31
    | ~ spl0_79
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f3011,f2349,f637,f389,f632]) ).

fof(f632,plain,
    ( spl0_78
  <=> c2_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f389,plain,
    ( spl0_31
  <=> ! [X13] :
        ( ~ c2_1(X13)
        | ~ c0_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f637,plain,
    ( spl0_79
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f3011,plain,
    ( ~ c2_1(a492)
    | ~ spl0_31
    | ~ spl0_79
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2854,f639]) ).

fof(f639,plain,
    ( c1_1(a492)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f2854,plain,
    ( ~ c2_1(a492)
    | ~ c1_1(a492)
    | ~ spl0_31
    | ~ spl0_169 ),
    inference(resolution,[],[f2351,f390]) ).

fof(f390,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | ~ c2_1(X13)
        | ~ c1_1(X13) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2981,plain,
    ( ~ spl0_34
    | ~ spl0_71
    | ~ spl0_72
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2980]) ).

fof(f2980,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_71
    | ~ spl0_72
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2979,f602]) ).

fof(f2979,plain,
    ( ~ c2_1(a437)
    | ~ spl0_34
    | ~ spl0_71
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2965,f597]) ).

fof(f2965,plain,
    ( ~ c3_1(a437)
    | ~ c2_1(a437)
    | ~ spl0_34
    | spl0_166 ),
    inference(resolution,[],[f402,f2134]) ).

fof(f2134,plain,
    ( ~ c1_1(a437)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f2132]) ).

fof(f2970,plain,
    ( ~ spl0_34
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2969]) ).

fof(f2969,plain,
    ( $false
    | ~ spl0_34
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2968,f847]) ).

fof(f847,plain,
    ( c2_1(a451)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_118
  <=> c2_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2968,plain,
    ( ~ c2_1(a451)
    | ~ spl0_34
    | spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f2960,f842]) ).

fof(f842,plain,
    ( c3_1(a451)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl0_117
  <=> c3_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2960,plain,
    ( ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_34
    | spl0_116 ),
    inference(resolution,[],[f402,f837]) ).

fof(f837,plain,
    ( ~ c1_1(a451)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f835,plain,
    ( spl0_116
  <=> c1_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2758,plain,
    ( spl0_159
    | spl0_99
    | ~ spl0_43
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2642,f749,f439,f744,f1242]) ).

fof(f2642,plain,
    ( c1_1(a467)
    | c3_1(a467)
    | ~ spl0_43
    | ~ spl0_100 ),
    inference(resolution,[],[f440,f751]) ).

fof(f2757,plain,
    ( spl0_149
    | spl0_150
    | ~ spl0_43
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2639,f1021,f439,f1016,f1011]) ).

fof(f1011,plain,
    ( spl0_149
  <=> c3_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1016,plain,
    ( spl0_150
  <=> c1_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1021,plain,
    ( spl0_151
  <=> c0_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2639,plain,
    ( c1_1(a434)
    | c3_1(a434)
    | ~ spl0_43
    | ~ spl0_151 ),
    inference(resolution,[],[f440,f1023]) ).

fof(f1023,plain,
    ( c0_1(a434)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f2739,plain,
    ( spl0_167
    | ~ spl0_43
    | spl0_137
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2738,f957,f947,f439,f2143]) ).

fof(f2143,plain,
    ( spl0_167
  <=> c1_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2738,plain,
    ( c1_1(a442)
    | ~ spl0_43
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2733,f949]) ).

fof(f2733,plain,
    ( c1_1(a442)
    | c3_1(a442)
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(resolution,[],[f959,f440]) ).

fof(f2725,plain,
    ( ~ spl0_32
    | ~ spl0_52
    | ~ spl0_59
    | spl0_83
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f2724]) ).

fof(f2724,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_52
    | ~ spl0_59
    | spl0_83
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f2714,f661]) ).

fof(f661,plain,
    ( ~ c0_1(a486)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f659,plain,
    ( spl0_83
  <=> c0_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2714,plain,
    ( c0_1(a486)
    | ~ spl0_32
    | ~ spl0_52
    | ~ spl0_59
    | ~ spl0_85 ),
    inference(resolution,[],[f2709,f671]) ).

fof(f671,plain,
    ( c1_1(a486)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f669,plain,
    ( spl0_85
  <=> c1_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2709,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | c0_1(X56) )
    | ~ spl0_32
    | ~ spl0_52
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f482,f2655]) ).

fof(f2655,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | c2_1(X97) )
    | ~ spl0_32
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f525,f394]) ).

fof(f394,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f393,plain,
    ( spl0_32
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c2_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f525,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | c0_1(X97)
        | c2_1(X97) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl0_59
  <=> ! [X97] :
        ( ~ c1_1(X97)
        | c0_1(X97)
        | c2_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f482,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_52
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2721,plain,
    ( ~ spl0_32
    | ~ spl0_52
    | ~ spl0_59
    | spl0_119
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2720]) ).

fof(f2720,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_52
    | ~ spl0_59
    | spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f2711,f853]) ).

fof(f853,plain,
    ( ~ c0_1(a450)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f851,plain,
    ( spl0_119
  <=> c0_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2711,plain,
    ( c0_1(a450)
    | ~ spl0_32
    | ~ spl0_52
    | ~ spl0_59
    | ~ spl0_121 ),
    inference(resolution,[],[f2709,f863]) ).

fof(f863,plain,
    ( c1_1(a450)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f861,plain,
    ( spl0_121
  <=> c1_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2635,plain,
    ( spl0_162
    | ~ spl0_28
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2634,f861,f856,f376,f1537]) ).

fof(f1537,plain,
    ( spl0_162
  <=> c2_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f376,plain,
    ( spl0_28
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | c2_1(X8)
        | ~ c1_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f856,plain,
    ( spl0_120
  <=> c3_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2634,plain,
    ( c2_1(a450)
    | ~ spl0_28
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f2625,f858]) ).

fof(f858,plain,
    ( c3_1(a450)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f2625,plain,
    ( c2_1(a450)
    | ~ c3_1(a450)
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(resolution,[],[f377,f863]) ).

fof(f377,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c2_1(X8)
        | ~ c3_1(X8) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f2621,plain,
    ( spl0_170
    | ~ spl0_25
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2620,f568,f563,f364,f2403]) ).

fof(f2403,plain,
    ( spl0_170
  <=> c3_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f364,plain,
    ( spl0_25
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c1_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f563,plain,
    ( spl0_65
  <=> c2_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f568,plain,
    ( spl0_66
  <=> c1_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2620,plain,
    ( c3_1(a456)
    | ~ spl0_25
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f2609,f565]) ).

fof(f565,plain,
    ( c2_1(a456)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f2609,plain,
    ( c3_1(a456)
    | ~ c2_1(a456)
    | ~ spl0_25
    | ~ spl0_66 ),
    inference(resolution,[],[f365,f570]) ).

fof(f570,plain,
    ( c1_1(a456)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f365,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | c3_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f2615,plain,
    ( ~ spl0_25
    | spl0_137
    | ~ spl0_138
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2614]) ).

fof(f2614,plain,
    ( $false
    | ~ spl0_25
    | spl0_137
    | ~ spl0_138
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2613,f954]) ).

fof(f954,plain,
    ( c2_1(a442)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl0_138
  <=> c2_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2613,plain,
    ( ~ c2_1(a442)
    | ~ spl0_25
    | spl0_137
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2601,f949]) ).

fof(f2601,plain,
    ( c3_1(a442)
    | ~ c2_1(a442)
    | ~ spl0_25
    | ~ spl0_167 ),
    inference(resolution,[],[f365,f2144]) ).

fof(f2144,plain,
    ( c1_1(a442)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f2143]) ).

fof(f2561,plain,
    ( spl0_95
    | ~ spl0_32
    | ~ spl0_97
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2560,f1528,f733,f393,f723]) ).

fof(f1528,plain,
    ( spl0_161
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2560,plain,
    ( c2_1(a472)
    | ~ spl0_32
    | ~ spl0_97
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2554,f1530]) ).

fof(f1530,plain,
    ( c1_1(a472)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f2554,plain,
    ( c2_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(resolution,[],[f735,f394]) ).

fof(f2491,plain,
    ( ~ spl0_44
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2490]) ).

fof(f2490,plain,
    ( $false
    | ~ spl0_44
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2489,f933]) ).

fof(f933,plain,
    ( ~ c2_1(a443)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl0_134
  <=> c2_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2489,plain,
    ( c2_1(a443)
    | ~ spl0_44
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2479,f938]) ).

fof(f938,plain,
    ( ~ c1_1(a443)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f936,plain,
    ( spl0_135
  <=> c1_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2479,plain,
    ( c1_1(a443)
    | c2_1(a443)
    | ~ spl0_44
    | ~ spl0_136 ),
    inference(resolution,[],[f445,f943]) ).

fof(f943,plain,
    ( c3_1(a443)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_136
  <=> c3_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2447,plain,
    ( ~ spl0_170
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2443,f573,f408,f350,f2403]) ).

fof(f408,plain,
    ( spl0_36
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | c1_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f573,plain,
    ( spl0_67
  <=> c0_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2443,plain,
    ( ~ c3_1(a456)
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(resolution,[],[f2428,f575]) ).

fof(f575,plain,
    ( c0_1(a456)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f2428,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c3_1(X3) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f351,f409]) ).

fof(f409,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c1_1(X18)
        | ~ c3_1(X18) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f2425,plain,
    ( ~ spl0_31
    | ~ spl0_32
    | ~ spl0_97
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2424]) ).

fof(f2424,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_97
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2419,f1530]) ).

fof(f2419,plain,
    ( ~ c1_1(a472)
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(resolution,[],[f2413,f735]) ).

fof(f2413,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f394,f390]) ).

fof(f2352,plain,
    ( spl0_77
    | spl0_169
    | ~ spl0_55
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1746,f637,f501,f2349,f627]) ).

fof(f501,plain,
    ( spl0_55
  <=> ! [X77] :
        ( ~ c1_1(X77)
        | c0_1(X77)
        | c3_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1746,plain,
    ( c0_1(a492)
    | c3_1(a492)
    | ~ spl0_55
    | ~ spl0_79 ),
    inference(resolution,[],[f502,f639]) ).

fof(f502,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | c0_1(X77)
        | c3_1(X77) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f2345,plain,
    ( ~ spl0_36
    | ~ spl0_43
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f2344]) ).

fof(f2344,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_43
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2334,f746]) ).

fof(f746,plain,
    ( ~ c1_1(a467)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f2334,plain,
    ( c1_1(a467)
    | ~ spl0_36
    | ~ spl0_43
    | ~ spl0_100 ),
    inference(resolution,[],[f2329,f751]) ).

fof(f2329,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32) )
    | ~ spl0_36
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f440,f409]) ).

fof(f2308,plain,
    ( spl0_161
    | ~ spl0_36
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2307,f733,f728,f408,f1528]) ).

fof(f2307,plain,
    ( c1_1(a472)
    | ~ spl0_36
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2293,f730]) ).

fof(f730,plain,
    ( c3_1(a472)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f2293,plain,
    ( c1_1(a472)
    | ~ c3_1(a472)
    | ~ spl0_36
    | ~ spl0_97 ),
    inference(resolution,[],[f409,f735]) ).

fof(f2305,plain,
    ( spl0_166
    | ~ spl0_36
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2304,f605,f595,f408,f2132]) ).

fof(f2304,plain,
    ( c1_1(a437)
    | ~ spl0_36
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f2296,f597]) ).

fof(f2296,plain,
    ( c1_1(a437)
    | ~ c3_1(a437)
    | ~ spl0_36
    | ~ spl0_73 ),
    inference(resolution,[],[f409,f607]) ).

fof(f607,plain,
    ( c0_1(a437)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f2212,plain,
    ( ~ spl0_82
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2211,f648,f401,f325,f653]) ).

fof(f653,plain,
    ( spl0_82
  <=> c2_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f648,plain,
    ( spl0_81
  <=> c3_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2211,plain,
    ( ~ c2_1(a489)
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_81 ),
    inference(resolution,[],[f650,f2012]) ).

fof(f2012,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | ~ c2_1(X17) )
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f402,f326]) ).

fof(f650,plain,
    ( c3_1(a489)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f2130,plain,
    ( ~ spl0_72
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2022,f595,f401,f325,f600]) ).

fof(f2022,plain,
    ( ~ c2_1(a437)
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_71 ),
    inference(resolution,[],[f2012,f597]) ).

fof(f2127,plain,
    ( ~ spl0_32
    | ~ spl0_59
    | spl0_87
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f2126]) ).

fof(f2126,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_59
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f2116,f682]) ).

fof(f682,plain,
    ( ~ c2_1(a484)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_87
  <=> c2_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2116,plain,
    ( c2_1(a484)
    | ~ spl0_32
    | ~ spl0_59
    | ~ spl0_88 ),
    inference(resolution,[],[f2106,f687]) ).

fof(f687,plain,
    ( c1_1(a484)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f685,plain,
    ( spl0_88
  <=> c1_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2106,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | c2_1(X97) )
    | ~ spl0_32
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f525,f394]) ).

fof(f2123,plain,
    ( ~ spl0_32
    | ~ spl0_59
    | ~ spl0_121
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2122]) ).

fof(f2122,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_59
    | ~ spl0_121
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2110,f1539]) ).

fof(f1539,plain,
    ( ~ c2_1(a450)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1537]) ).

fof(f2110,plain,
    ( c2_1(a450)
    | ~ spl0_32
    | ~ spl0_59
    | ~ spl0_121 ),
    inference(resolution,[],[f2106,f863]) ).

fof(f2121,plain,
    ( ~ spl0_32
    | ~ spl0_59
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2120]) ).

fof(f2120,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_59
    | spl0_125
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2109,f885]) ).

fof(f885,plain,
    ( ~ c2_1(a448)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f883,plain,
    ( spl0_125
  <=> c2_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2109,plain,
    ( c2_1(a448)
    | ~ spl0_32
    | ~ spl0_59
    | ~ spl0_127 ),
    inference(resolution,[],[f2106,f895]) ).

fof(f895,plain,
    ( c1_1(a448)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl0_127
  <=> c1_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2065,plain,
    ( ~ spl0_105
    | ~ spl0_39
    | spl0_104
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2059,f781,f771,f422,f776]) ).

fof(f776,plain,
    ( spl0_105
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f422,plain,
    ( spl0_39
  <=> ! [X25] :
        ( ~ c2_1(X25)
        | c1_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f771,plain,
    ( spl0_104
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f781,plain,
    ( spl0_106
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2059,plain,
    ( ~ c2_1(a463)
    | ~ spl0_39
    | spl0_104
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f2052,f773]) ).

fof(f773,plain,
    ( ~ c1_1(a463)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f2052,plain,
    ( c1_1(a463)
    | ~ c2_1(a463)
    | ~ spl0_39
    | ~ spl0_106 ),
    inference(resolution,[],[f423,f783]) ).

fof(f783,plain,
    ( c0_1(a463)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f423,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | ~ c2_1(X25) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f2045,plain,
    ( spl0_113
    | ~ spl0_32
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2044,f829,f824,f393,f819]) ).

fof(f824,plain,
    ( spl0_114
  <=> c1_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2044,plain,
    ( c2_1(a452)
    | ~ spl0_32
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f2028,f826]) ).

fof(f826,plain,
    ( c1_1(a452)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f2028,plain,
    ( c2_1(a452)
    | ~ c1_1(a452)
    | ~ spl0_32
    | ~ spl0_115 ),
    inference(resolution,[],[f394,f831]) ).

fof(f1985,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1978,f565]) ).

fof(f1978,plain,
    ( ~ c2_1(a456)
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_66 ),
    inference(resolution,[],[f1942,f570]) ).

fof(f1942,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f365,f326]) ).

fof(f1939,plain,
    ( ~ spl0_32
    | spl0_87
    | ~ spl0_88
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f1938]) ).

fof(f1938,plain,
    ( $false
    | ~ spl0_32
    | spl0_87
    | ~ spl0_88
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f1937,f687]) ).

fof(f1937,plain,
    ( ~ c1_1(a484)
    | ~ spl0_32
    | spl0_87
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f1932,f682]) ).

fof(f1932,plain,
    ( c2_1(a484)
    | ~ c1_1(a484)
    | ~ spl0_32
    | ~ spl0_164 ),
    inference(resolution,[],[f394,f1800]) ).

fof(f1800,plain,
    ( c0_1(a484)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1798]) ).

fof(f1798,plain,
    ( spl0_164
  <=> c0_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1861,plain,
    ( ~ spl0_50
    | ~ spl0_55
    | spl0_119
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1860]) ).

fof(f1860,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_55
    | spl0_119
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1852,f853]) ).

fof(f1852,plain,
    ( c0_1(a450)
    | ~ spl0_50
    | ~ spl0_55
    | ~ spl0_121 ),
    inference(resolution,[],[f1847,f863]) ).

fof(f1847,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | c0_1(X54) )
    | ~ spl0_50
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f474,f502]) ).

fof(f474,plain,
    ( ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | ~ c1_1(X54) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f473,plain,
    ( spl0_50
  <=> ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | ~ c1_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1801,plain,
    ( spl0_86
    | spl0_164
    | ~ spl0_55
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1744,f685,f501,f1798,f675]) ).

fof(f675,plain,
    ( spl0_86
  <=> c3_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1744,plain,
    ( c0_1(a484)
    | c3_1(a484)
    | ~ spl0_55
    | ~ spl0_88 ),
    inference(resolution,[],[f502,f687]) ).

fof(f1796,plain,
    ( spl0_86
    | ~ spl0_40
    | spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1793,f685,f680,f426,f675]) ).

fof(f426,plain,
    ( spl0_40
  <=> ! [X26] :
        ( ~ c1_1(X26)
        | c2_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1793,plain,
    ( c3_1(a484)
    | ~ spl0_40
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f1788,f682]) ).

fof(f1788,plain,
    ( c2_1(a484)
    | c3_1(a484)
    | ~ spl0_40
    | ~ spl0_88 ),
    inference(resolution,[],[f427,f687]) ).

fof(f427,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | c2_1(X26)
        | c3_1(X26) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f1758,plain,
    ( spl0_83
    | ~ spl0_16
    | ~ spl0_55
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1757,f669,f664,f501,f325,f659]) ).

fof(f664,plain,
    ( spl0_84
  <=> c2_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1757,plain,
    ( c0_1(a486)
    | ~ spl0_16
    | ~ spl0_55
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1745,f1657]) ).

fof(f1657,plain,
    ( ~ c3_1(a486)
    | ~ spl0_16
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1654,f671]) ).

fof(f1654,plain,
    ( ~ c1_1(a486)
    | ~ c3_1(a486)
    | ~ spl0_16
    | ~ spl0_84 ),
    inference(resolution,[],[f326,f666]) ).

fof(f666,plain,
    ( c2_1(a486)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f1745,plain,
    ( c0_1(a486)
    | c3_1(a486)
    | ~ spl0_55
    | ~ spl0_85 ),
    inference(resolution,[],[f502,f671]) ).

fof(f1750,plain,
    ( ~ spl0_55
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1749]) ).

fof(f1749,plain,
    ( $false
    | ~ spl0_55
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1748,f997]) ).

fof(f997,plain,
    ( ~ c3_1(a435)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f995,plain,
    ( spl0_146
  <=> c3_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1748,plain,
    ( c3_1(a435)
    | ~ spl0_55
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1740,f1002]) ).

fof(f1002,plain,
    ( ~ c0_1(a435)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1000,plain,
    ( spl0_147
  <=> c0_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1740,plain,
    ( c0_1(a435)
    | c3_1(a435)
    | ~ spl0_55
    | ~ spl0_148 ),
    inference(resolution,[],[f502,f1007]) ).

fof(f1007,plain,
    ( c1_1(a435)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1005,plain,
    ( spl0_148
  <=> c1_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1627,plain,
    ( ~ spl0_22
    | ~ spl0_36
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1626]) ).

fof(f1626,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1618,f597]) ).

fof(f1618,plain,
    ( ~ c3_1(a437)
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_73 ),
    inference(resolution,[],[f1581,f607]) ).

fof(f1581,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | ~ c3_1(X18) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f409,f351]) ).

fof(f1623,plain,
    ( ~ spl0_22
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1622,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1614,f842]) ).

fof(f1614,plain,
    ( ~ c3_1(a451)
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(resolution,[],[f1581,f1315]) ).

fof(f1315,plain,
    ( c0_1(a451)
    | ~ spl0_47
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1309,f847]) ).

fof(f1309,plain,
    ( c0_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_47
    | ~ spl0_117 ),
    inference(resolution,[],[f459,f842]) ).

fof(f459,plain,
    ( ! [X47] :
        ( ~ c3_1(X47)
        | c0_1(X47)
        | ~ c2_1(X47) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl0_47
  <=> ! [X47] :
        ( ~ c3_1(X47)
        | c0_1(X47)
        | ~ c2_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1609,plain,
    ( spl0_98
    | ~ spl0_30
    | ~ spl0_38
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1602,f749,f418,f385,f739]) ).

fof(f1602,plain,
    ( c2_1(a467)
    | ~ spl0_30
    | ~ spl0_38
    | ~ spl0_100 ),
    inference(resolution,[],[f1580,f751]) ).

fof(f1580,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c2_1(X22) )
    | ~ spl0_30
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f419,f386]) ).

fof(f1579,plain,
    ( spl0_137
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1578,f957,f952,f430,f404,f350,f947]) ).

fof(f430,plain,
    ( spl0_41
  <=> ! [X28] :
        ( ~ c2_1(X28)
        | c1_1(X28)
        | c3_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1578,plain,
    ( c3_1(a442)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_41
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1498,f1409]) ).

fof(f1409,plain,
    ( ~ c1_1(a442)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(resolution,[],[f959,f1130]) ).

fof(f1130,plain,
    ( ! [X16] :
        ( ~ c0_1(X16)
        | ~ c1_1(X16) )
    | ~ spl0_22
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f405,f351]) ).

fof(f1498,plain,
    ( c1_1(a442)
    | c3_1(a442)
    | ~ spl0_41
    | ~ spl0_138 ),
    inference(resolution,[],[f431,f954]) ).

fof(f431,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | c1_1(X28)
        | c3_1(X28) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f1573,plain,
    ( ~ spl0_18
    | ~ spl0_30
    | ~ spl0_57
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1572,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_57
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1560,f607]) ).

fof(f1560,plain,
    ( ~ c0_1(a437)
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_57
    | ~ spl0_71 ),
    inference(resolution,[],[f1543,f597]) ).

fof(f1543,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f334,f1509]) ).

fof(f1509,plain,
    ( ! [X86] :
        ( c2_1(X86)
        | ~ c3_1(X86) )
    | ~ spl0_30
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f513,f386]) ).

fof(f513,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | c0_1(X86)
        | c2_1(X86) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl0_57
  <=> ! [X86] :
        ( ~ c3_1(X86)
        | c0_1(X86)
        | c2_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f334,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1567,plain,
    ( ~ spl0_18
    | ~ spl0_30
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1556,f1315]) ).

fof(f1556,plain,
    ( ~ c0_1(a451)
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_57
    | ~ spl0_117 ),
    inference(resolution,[],[f1543,f842]) ).

fof(f1542,plain,
    ( ~ spl0_69
    | spl0_158
    | ~ spl0_47
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1313,f579,f458,f1108,f584]) ).

fof(f584,plain,
    ( spl0_69
  <=> c2_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1108,plain,
    ( spl0_158
  <=> c0_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f579,plain,
    ( spl0_68
  <=> c3_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1313,plain,
    ( c0_1(a447)
    | ~ c2_1(a447)
    | ~ spl0_47
    | ~ spl0_68 ),
    inference(resolution,[],[f459,f581]) ).

fof(f581,plain,
    ( c3_1(a447)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f1541,plain,
    ( ~ spl0_157
    | ~ spl0_30
    | ~ spl0_57
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1511,f1043,f512,f385,f1053]) ).

fof(f1053,plain,
    ( spl0_157
  <=> c3_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1043,plain,
    ( spl0_155
  <=> c2_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1511,plain,
    ( ~ c3_1(a432)
    | ~ spl0_30
    | ~ spl0_57
    | spl0_155 ),
    inference(resolution,[],[f1509,f1045]) ).

fof(f1045,plain,
    ( ~ c2_1(a432)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1540,plain,
    ( ~ spl0_162
    | spl0_119
    | ~ spl0_47
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1412,f856,f458,f851,f1537]) ).

fof(f1412,plain,
    ( c0_1(a450)
    | ~ c2_1(a450)
    | ~ spl0_47
    | ~ spl0_120 ),
    inference(resolution,[],[f858,f459]) ).

fof(f1535,plain,
    ( ~ spl0_108
    | ~ spl0_30
    | ~ spl0_57
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1516,f787,f512,f385,f792]) ).

fof(f792,plain,
    ( spl0_108
  <=> c3_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f787,plain,
    ( spl0_107
  <=> c2_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1516,plain,
    ( ~ c3_1(a457)
    | ~ spl0_30
    | ~ spl0_57
    | spl0_107 ),
    inference(resolution,[],[f1509,f789]) ).

fof(f789,plain,
    ( ~ c2_1(a457)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f1459,plain,
    ( ~ spl0_28
    | spl0_107
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1458]) ).

fof(f1458,plain,
    ( $false
    | ~ spl0_28
    | spl0_107
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f1457,f794]) ).

fof(f794,plain,
    ( c3_1(a457)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f1457,plain,
    ( ~ c3_1(a457)
    | ~ spl0_28
    | spl0_107
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f1451,f789]) ).

fof(f1451,plain,
    ( c2_1(a457)
    | ~ c3_1(a457)
    | ~ spl0_28
    | ~ spl0_109 ),
    inference(resolution,[],[f377,f799]) ).

fof(f799,plain,
    ( c1_1(a457)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f797,plain,
    ( spl0_109
  <=> c1_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1447,plain,
    ( ~ spl0_78
    | ~ spl0_25
    | spl0_77
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1444,f637,f627,f364,f632]) ).

fof(f1444,plain,
    ( ~ c2_1(a492)
    | ~ spl0_25
    | spl0_77
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1441,f629]) ).

fof(f1441,plain,
    ( c3_1(a492)
    | ~ c2_1(a492)
    | ~ spl0_25
    | ~ spl0_79 ),
    inference(resolution,[],[f365,f639]) ).

fof(f1430,plain,
    ( spl0_137
    | ~ spl0_27
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1429,f957,f952,f372,f947]) ).

fof(f372,plain,
    ( spl0_27
  <=> ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1429,plain,
    ( c3_1(a442)
    | ~ spl0_27
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1415,f954]) ).

fof(f1415,plain,
    ( c3_1(a442)
    | ~ c2_1(a442)
    | ~ spl0_27
    | ~ spl0_139 ),
    inference(resolution,[],[f373,f959]) ).

fof(f373,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c3_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1402,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1401]) ).

fof(f1401,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1399,f666]) ).

fof(f1399,plain,
    ( ~ c2_1(a486)
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_85 ),
    inference(resolution,[],[f1381,f671]) ).

fof(f1381,plain,
    ( ! [X6] :
        ( ~ c1_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f365,f326]) ).

fof(f1380,plain,
    ( ~ spl0_46
    | spl0_101
    | spl0_102
    | spl0_103 ),
    inference(avatar_contradiction_clause,[],[f1379]) ).

fof(f1379,plain,
    ( $false
    | ~ spl0_46
    | spl0_101
    | spl0_102
    | spl0_103 ),
    inference(subsumption_resolution,[],[f1378,f762]) ).

fof(f762,plain,
    ( ~ c2_1(a466)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_102
  <=> c2_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1378,plain,
    ( c2_1(a466)
    | ~ spl0_46
    | spl0_101
    | spl0_103 ),
    inference(subsumption_resolution,[],[f1377,f757]) ).

fof(f757,plain,
    ( ~ c3_1(a466)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_101
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1377,plain,
    ( c3_1(a466)
    | c2_1(a466)
    | ~ spl0_46
    | spl0_103 ),
    inference(resolution,[],[f767,f455]) ).

fof(f767,plain,
    ( ~ c1_1(a466)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl0_103
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1371,plain,
    ( ~ spl0_66
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1368,f573,f404,f350,f568]) ).

fof(f1368,plain,
    ( ~ c1_1(a456)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(resolution,[],[f575,f1130]) ).

fof(f1359,plain,
    ( spl0_83
    | ~ spl0_47
    | ~ spl0_53
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1351,f664,f486,f458,f659]) ).

fof(f1351,plain,
    ( c0_1(a486)
    | ~ spl0_47
    | ~ spl0_53
    | ~ spl0_84 ),
    inference(resolution,[],[f1344,f666]) ).

fof(f1344,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59) )
    | ~ spl0_47
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f487,f459]) ).

fof(f1343,plain,
    ( ~ spl0_120
    | ~ spl0_16
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1337,f861,f376,f325,f856]) ).

fof(f1337,plain,
    ( ~ c3_1(a450)
    | ~ spl0_16
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(resolution,[],[f1331,f863]) ).

fof(f1331,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | ~ c3_1(X8) )
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f377,f326]) ).

fof(f1330,plain,
    ( ~ spl0_22
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1329]) ).

fof(f1329,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1326,f634]) ).

fof(f634,plain,
    ( c2_1(a492)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f1326,plain,
    ( ~ c2_1(a492)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_79 ),
    inference(resolution,[],[f1318,f639]) ).

fof(f1318,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | ~ c2_1(X56) )
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f482,f1130]) ).

fof(f1328,plain,
    ( ~ spl0_22
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1327,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1325,f666]) ).

fof(f1325,plain,
    ( ~ c2_1(a486)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_85 ),
    inference(resolution,[],[f1318,f671]) ).

fof(f1279,plain,
    ( ~ spl0_47
    | spl0_80
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1278]) ).

fof(f1278,plain,
    ( $false
    | ~ spl0_47
    | spl0_80
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f1277,f655]) ).

fof(f655,plain,
    ( c2_1(a489)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1277,plain,
    ( ~ c2_1(a489)
    | ~ spl0_47
    | spl0_80
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f1272,f645]) ).

fof(f645,plain,
    ( ~ c0_1(a489)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f643,plain,
    ( spl0_80
  <=> c0_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1272,plain,
    ( c0_1(a489)
    | ~ c2_1(a489)
    | ~ spl0_47
    | ~ spl0_81 ),
    inference(resolution,[],[f459,f650]) ).

fof(f1211,plain,
    ( ~ spl0_114
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1208,f829,f404,f350,f824]) ).

fof(f1208,plain,
    ( ~ c1_1(a452)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_115 ),
    inference(resolution,[],[f831,f1130]) ).

fof(f1152,plain,
    ( ~ spl0_41
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1151]) ).

fof(f1151,plain,
    ( $false
    | ~ spl0_41
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1150,f869]) ).

fof(f869,plain,
    ( ~ c3_1(a449)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl0_122
  <=> c3_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1150,plain,
    ( c3_1(a449)
    | ~ spl0_41
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1145,f874]) ).

fof(f874,plain,
    ( ~ c1_1(a449)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl0_123
  <=> c1_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1145,plain,
    ( c1_1(a449)
    | c3_1(a449)
    | ~ spl0_41
    | ~ spl0_124 ),
    inference(resolution,[],[f431,f879]) ).

fof(f879,plain,
    ( c2_1(a449)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f877,plain,
    ( spl0_124
  <=> c2_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1127,plain,
    ( ~ spl0_16
    | ~ spl0_34
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1126]) ).

fof(f1126,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1123,f847]) ).

fof(f1123,plain,
    ( ~ c2_1(a451)
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_117 ),
    inference(resolution,[],[f1097,f842]) ).

fof(f1097,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | ~ c2_1(X17) )
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f402,f326]) ).

fof(f1119,plain,
    ( ~ spl0_70
    | ~ spl0_16
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1118,f584,f579,f325,f589]) ).

fof(f589,plain,
    ( spl0_70
  <=> c1_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1118,plain,
    ( ~ c1_1(a447)
    | ~ spl0_16
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(subsumption_resolution,[],[f1114,f581]) ).

fof(f1114,plain,
    ( ~ c1_1(a447)
    | ~ c3_1(a447)
    | ~ spl0_16
    | ~ spl0_69 ),
    inference(resolution,[],[f586,f326]) ).

fof(f586,plain,
    ( c2_1(a447)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f1111,plain,
    ( ~ spl0_70
    | ~ spl0_158
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1106,f579,f350,f1108,f589]) ).

fof(f1106,plain,
    ( ~ c0_1(a447)
    | ~ c1_1(a447)
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(resolution,[],[f581,f351]) ).

fof(f1079,plain,
    ( ~ spl0_22
    | ~ spl0_36
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1078]) ).

fof(f1078,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f1077,f735]) ).

fof(f1077,plain,
    ( ~ c0_1(a472)
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_96 ),
    inference(resolution,[],[f1076,f730]) ).

fof(f1076,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f409,f351]) ).

fof(f1056,plain,
    ( ~ spl0_17
    | spl0_157 ),
    inference(avatar_split_clause,[],[f8,f1053,f328]) ).

fof(f328,plain,
    ( spl0_17
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f8,plain,
    ( c3_1(a432)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp1
      | hskp8
      | hskp10 )
    & ( hskp3
      | hskp12
      | hskp24 )
    & ( hskp13
      | hskp20
      | hskp6 )
    & ( hskp23
      | hskp10
      | hskp17 )
    & ( hskp13
      | hskp19
      | hskp14 )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( hskp0
      | hskp6
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp11
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp14
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp30
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp29
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp26
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp4
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X22] :
          ( ~ c0_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X26] :
          ( ~ c1_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp23
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp30
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c0_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp8
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp19
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp6
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c1_1(X68)
          | ~ c0_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_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] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X84] :
          ( ~ c2_1(X84)
          | c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c3_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X87] :
          ( ~ c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | c3_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c3_1(X89)
          | ~ c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp14
      | ! [X98] :
          ( ~ c1_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X101] :
          ( ~ c0_1(X101)
          | c3_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | c2_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c1_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X105] :
          ( c3_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X108] :
          ( ~ c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X109] :
          ( ~ c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X112] :
          ( ~ c2_1(X112)
          | c3_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp4
      | ! [X114] :
          ( ~ c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X116] :
          ( ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c3_1(X118)
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | ~ c0_1(X119)
          | c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X121] :
          ( ~ c2_1(X121)
          | ~ c1_1(X121)
          | c3_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c3_1(X122)
          | ~ c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X124] :
          ( ~ c1_1(X124)
          | ~ c0_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c3_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X126] :
          ( ~ c2_1(X126)
          | ~ c0_1(X126)
          | c1_1(X126)
          | ~ ndr1_0 )
      | ! [X127] :
          ( c3_1(X127)
          | c1_1(X127)
          | c0_1(X127)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X128] :
          ( ~ c2_1(X128)
          | c3_1(X128)
          | c1_1(X128)
          | ~ ndr1_0 )
      | ! [X129] :
          ( c2_1(X129)
          | c1_1(X129)
          | c0_1(X129)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X130] :
          ( ~ c2_1(X130)
          | c3_1(X130)
          | c0_1(X130)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c2_1(X131)
          | c1_1(X131)
          | c0_1(X131)
          | ~ ndr1_0 ) )
    & ( ! [X132] :
          ( ~ c3_1(X132)
          | ~ c2_1(X132)
          | ~ c0_1(X132)
          | ~ ndr1_0 )
      | ! [X133] :
          ( c3_1(X133)
          | c1_1(X133)
          | c0_1(X133)
          | ~ ndr1_0 )
      | ! [X134] :
          ( c2_1(X134)
          | c1_1(X134)
          | c0_1(X134)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a456)
        & c1_1(a456)
        & c0_1(a456)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a447)
        & c2_1(a447)
        & c1_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a437)
        & c2_1(a437)
        & c0_1(a437)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a509)
        & ~ c2_1(a509)
        & ~ c0_1(a509)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a492)
        & c2_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a489)
        & c3_1(a489)
        & c2_1(a489)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a486)
        & c2_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a484)
        & ~ c2_1(a484)
        & c1_1(a484)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a475)
        & ~ c0_1(a475)
        & c2_1(a475)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c0_1(a472)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a466)
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a463)
        & c2_1(a463)
        & c0_1(a463)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a457)
        & c3_1(a457)
        & c1_1(a457)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a454)
        & ~ c0_1(a454)
        & c3_1(a454)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a452)
        & c1_1(a452)
        & c0_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a451)
        & c3_1(a451)
        & c2_1(a451)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a450)
        & c3_1(a450)
        & c1_1(a450)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a448)
        & ~ c0_1(a448)
        & c1_1(a448)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a445)
        & ~ c1_1(a445)
        & ~ c0_1(a445)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a444)
        & ~ c0_1(a444)
        & c2_1(a444)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a442)
        & c2_1(a442)
        & c0_1(a442)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a441)
        & ~ c2_1(a441)
        & c0_1(a441)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a439)
        & c3_1(a439)
        & c0_1(a439)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a435)
        & ~ c0_1(a435)
        & c1_1(a435)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a434)
        & ~ c1_1(a434)
        & c0_1(a434)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a433)
        & ~ c1_1(a433)
        & ~ c0_1(a433)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a432)
        & ~ c0_1(a432)
        & c3_1(a432)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp1
      | hskp8
      | hskp10 )
    & ( hskp3
      | hskp12
      | hskp24 )
    & ( hskp13
      | hskp20
      | hskp6 )
    & ( hskp23
      | hskp10
      | hskp17 )
    & ( hskp13
      | hskp19
      | hskp14 )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( hskp0
      | hskp6
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp11
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp14
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp30
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp29
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp26
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp4
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X22] :
          ( ~ c0_1(X22)
          | c3_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X26] :
          ( ~ c1_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp23
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp30
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c0_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp8
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp19
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp6
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c1_1(X68)
          | ~ c0_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_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] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X84] :
          ( ~ c2_1(X84)
          | c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c3_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X87] :
          ( ~ c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | c3_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c3_1(X89)
          | ~ c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp14
      | ! [X98] :
          ( ~ c1_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X101] :
          ( ~ c0_1(X101)
          | c3_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | c2_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c1_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X105] :
          ( c3_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X108] :
          ( ~ c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X109] :
          ( ~ c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X112] :
          ( ~ c2_1(X112)
          | c3_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp4
      | ! [X114] :
          ( ~ c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X116] :
          ( ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c3_1(X118)
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | ~ c0_1(X119)
          | c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X121] :
          ( ~ c2_1(X121)
          | ~ c1_1(X121)
          | c3_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c3_1(X122)
          | ~ c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X124] :
          ( ~ c1_1(X124)
          | ~ c0_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c3_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X126] :
          ( ~ c2_1(X126)
          | ~ c0_1(X126)
          | c1_1(X126)
          | ~ ndr1_0 )
      | ! [X127] :
          ( c3_1(X127)
          | c1_1(X127)
          | c0_1(X127)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X128] :
          ( ~ c2_1(X128)
          | c3_1(X128)
          | c1_1(X128)
          | ~ ndr1_0 )
      | ! [X129] :
          ( c2_1(X129)
          | c1_1(X129)
          | c0_1(X129)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X130] :
          ( ~ c2_1(X130)
          | c3_1(X130)
          | c0_1(X130)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c2_1(X131)
          | c1_1(X131)
          | c0_1(X131)
          | ~ ndr1_0 ) )
    & ( ! [X132] :
          ( ~ c3_1(X132)
          | ~ c2_1(X132)
          | ~ c0_1(X132)
          | ~ ndr1_0 )
      | ! [X133] :
          ( c3_1(X133)
          | c1_1(X133)
          | c0_1(X133)
          | ~ ndr1_0 )
      | ! [X134] :
          ( c2_1(X134)
          | c1_1(X134)
          | c0_1(X134)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a456)
        & c1_1(a456)
        & c0_1(a456)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a447)
        & c2_1(a447)
        & c1_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a437)
        & c2_1(a437)
        & c0_1(a437)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a509)
        & ~ c2_1(a509)
        & ~ c0_1(a509)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a492)
        & c2_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a489)
        & c3_1(a489)
        & c2_1(a489)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a486)
        & c2_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a484)
        & ~ c2_1(a484)
        & c1_1(a484)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a475)
        & ~ c0_1(a475)
        & c2_1(a475)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c0_1(a472)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a466)
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a463)
        & c2_1(a463)
        & c0_1(a463)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a457)
        & c3_1(a457)
        & c1_1(a457)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a454)
        & ~ c0_1(a454)
        & c3_1(a454)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a452)
        & c1_1(a452)
        & c0_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a451)
        & c3_1(a451)
        & c2_1(a451)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a450)
        & c3_1(a450)
        & c1_1(a450)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a448)
        & ~ c0_1(a448)
        & c1_1(a448)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a445)
        & ~ c1_1(a445)
        & ~ c0_1(a445)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a444)
        & ~ c0_1(a444)
        & c2_1(a444)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a442)
        & c2_1(a442)
        & c0_1(a442)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a441)
        & ~ c2_1(a441)
        & c0_1(a441)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a439)
        & c3_1(a439)
        & c0_1(a439)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a435)
        & ~ c0_1(a435)
        & c1_1(a435)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a434)
        & ~ c1_1(a434)
        & c0_1(a434)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a433)
        & ~ c1_1(a433)
        & ~ c0_1(a433)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a432)
        & ~ c0_1(a432)
        & c3_1(a432)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp1
      | hskp8
      | hskp10 )
    & ( hskp3
      | hskp12
      | hskp24 )
    & ( hskp13
      | hskp20
      | hskp6 )
    & ( hskp23
      | hskp10
      | hskp17 )
    & ( hskp13
      | hskp19
      | hskp14 )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( hskp0
      | hskp6
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp15
      | hskp11
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp0
      | hskp29
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp3
      | hskp12
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp27
      | hskp26
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp8
      | hskp24
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp19
      | hskp28
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp12
      | hskp14
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp26
      | hskp30
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp25
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp19
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp30
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp16
      | hskp29
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp8
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp8
      | hskp26
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp13
      | hskp4
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp25
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp10
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c3_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp23
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp24
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c3_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp7
      | hskp23
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp11
      | hskp30
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | ~ c0_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c1_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp3
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c0_1(X33)
            | c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | ~ c0_1(X36)
            | c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp1
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c0_1(X40)
            | c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c0_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp28
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp19
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp0
      | hskp8
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp22
      | hskp21
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp1
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp20
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp5
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | ~ c0_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp6
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp8
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp1
      | hskp19
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp18
      | hskp6
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp16
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | ~ c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | ~ c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | ~ c0_1(X64)
            | c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp17
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c0_1(X66)
            | c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c0_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp13
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp14
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c0_1(X75)
            | c3_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
         => ( ~ c3_1(X78)
            | ~ c1_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | ~ c0_1(X79)
            | c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c1_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp9
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | c3_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c3_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp1
      | hskp2
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp16
      | hskp30
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c3_1(X88)
            | c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c2_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c0_1(X91)
            | c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c1_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | c3_1(X95)
            | c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c2_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp9
      | hskp15
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp2
      | hskp14
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp13
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | ~ c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp12
      | ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | c3_1(X101)
            | c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | c2_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp11
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | c2_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp10
      | hskp29
      | ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | c2_1(X105)
            | c0_1(X105) ) ) )
    & ( hskp28
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | ~ c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c2_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp9
      | hskp8
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp7
      | hskp6
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c0_1(X110)
            | c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp5
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | c3_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp1
      | hskp4
      | ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp0
      | hskp28
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp1
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c0_1(X116)
            | c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c3_1(X118)
            | ~ c2_1(X118)
            | ~ c0_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | ~ c0_1(X119)
            | c2_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( ~ c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c2_1(X121)
            | ~ c1_1(X121)
            | c3_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | ~ c1_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( hskp3
      | ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | ~ c0_1(X124)
            | c2_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c3_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( hskp2
      | ! [X126] :
          ( ndr1_0
         => ( ~ c2_1(X126)
            | ~ c0_1(X126)
            | c1_1(X126) ) )
      | ! [X127] :
          ( ndr1_0
         => ( c3_1(X127)
            | c1_1(X127)
            | c0_1(X127) ) ) )
    & ( hskp1
      | ! [X128] :
          ( ndr1_0
         => ( ~ c2_1(X128)
            | c3_1(X128)
            | c1_1(X128) ) )
      | ! [X129] :
          ( ndr1_0
         => ( c2_1(X129)
            | c1_1(X129)
            | c0_1(X129) ) ) )
    & ( hskp0
      | ! [X130] :
          ( ndr1_0
         => ( ~ c2_1(X130)
            | c3_1(X130)
            | c0_1(X130) ) )
      | ! [X131] :
          ( ndr1_0
         => ( c2_1(X131)
            | c1_1(X131)
            | c0_1(X131) ) ) )
    & ( ! [X132] :
          ( ndr1_0
         => ( ~ c3_1(X132)
            | ~ c2_1(X132)
            | ~ c0_1(X132) ) )
      | ! [X133] :
          ( ndr1_0
         => ( c3_1(X133)
            | c1_1(X133)
            | c0_1(X133) ) )
      | ! [X134] :
          ( ndr1_0
         => ( c2_1(X134)
            | c1_1(X134)
            | c0_1(X134) ) ) )
    & ( ( c2_1(a456)
        & c1_1(a456)
        & c0_1(a456)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a447)
        & c2_1(a447)
        & c1_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a437)
        & c2_1(a437)
        & c0_1(a437)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a509)
        & ~ c2_1(a509)
        & ~ c0_1(a509)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a492)
        & c2_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a489)
        & c3_1(a489)
        & c2_1(a489)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a486)
        & c2_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a484)
        & ~ c2_1(a484)
        & c1_1(a484)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a475)
        & ~ c0_1(a475)
        & c2_1(a475)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c0_1(a472)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a466)
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a463)
        & c2_1(a463)
        & c0_1(a463)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a457)
        & c3_1(a457)
        & c1_1(a457)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a454)
        & ~ c0_1(a454)
        & c3_1(a454)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a452)
        & c1_1(a452)
        & c0_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a451)
        & c3_1(a451)
        & c2_1(a451)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a450)
        & c3_1(a450)
        & c1_1(a450)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a448)
        & ~ c0_1(a448)
        & c1_1(a448)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a445)
        & ~ c1_1(a445)
        & ~ c0_1(a445)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a444)
        & ~ c0_1(a444)
        & c2_1(a444)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a442)
        & c2_1(a442)
        & c0_1(a442)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a441)
        & ~ c2_1(a441)
        & c0_1(a441)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a439)
        & c3_1(a439)
        & c0_1(a439)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a435)
        & ~ c0_1(a435)
        & c1_1(a435)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a434)
        & ~ c1_1(a434)
        & c0_1(a434)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a433)
        & ~ c1_1(a433)
        & ~ c0_1(a433)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a432)
        & ~ c0_1(a432)
        & c3_1(a432)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp1
          | hskp8
          | hskp10 )
        & ( hskp3
          | hskp12
          | hskp24 )
        & ( hskp13
          | hskp20
          | hskp6 )
        & ( hskp23
          | hskp10
          | hskp17 )
        & ( hskp13
          | hskp19
          | hskp14 )
        & ( hskp24
          | hskp14
          | hskp30 )
        & ( hskp0
          | hskp6
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp15
          | hskp11
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp0
          | hskp29
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp3
          | hskp12
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp27
          | hskp26
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp8
          | hskp24
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp19
          | hskp28
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp12
          | hskp14
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp26
          | hskp30
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp25
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp19
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp30
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp16
          | hskp29
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp8
          | hskp26
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp13
          | hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp25
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp10
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c3_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp23
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp24
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c3_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp7
          | hskp23
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp11
          | hskp30
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp3
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp1
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c0_1(X40)
                | c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c0_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp28
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp19
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp0
          | hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp22
          | hskp21
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp1
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp20
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp5
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c0_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp6
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp8
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp1
          | hskp19
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp6
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp16
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | ~ c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp17
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp13
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp14
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_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
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c1_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp9
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c3_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp1
          | hskp2
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp16
          | hskp30
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c1_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c2_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp9
          | hskp15
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp2
          | hskp14
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp13
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp12
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | c2_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp11
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c2_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp10
          | hskp29
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | c2_1(X105)
                | c0_1(X105) ) ) )
        & ( hskp28
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c2_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp9
          | hskp8
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp7
          | hskp6
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp5
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | c3_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp1
          | hskp4
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp0
          | hskp28
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp1
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c2_1(X118)
                | ~ c0_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c0_1(X119)
                | c2_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | c3_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c1_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( hskp3
          | ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c0_1(X124)
                | c2_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c3_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( hskp2
          | ! [X126] :
              ( ndr1_0
             => ( ~ c2_1(X126)
                | ~ c0_1(X126)
                | c1_1(X126) ) )
          | ! [X127] :
              ( ndr1_0
             => ( c3_1(X127)
                | c1_1(X127)
                | c0_1(X127) ) ) )
        & ( hskp1
          | ! [X128] :
              ( ndr1_0
             => ( ~ c2_1(X128)
                | c3_1(X128)
                | c1_1(X128) ) )
          | ! [X129] :
              ( ndr1_0
             => ( c2_1(X129)
                | c1_1(X129)
                | c0_1(X129) ) ) )
        & ( hskp0
          | ! [X130] :
              ( ndr1_0
             => ( ~ c2_1(X130)
                | c3_1(X130)
                | c0_1(X130) ) )
          | ! [X131] :
              ( ndr1_0
             => ( c2_1(X131)
                | c1_1(X131)
                | c0_1(X131) ) ) )
        & ( ! [X132] :
              ( ndr1_0
             => ( ~ c3_1(X132)
                | ~ c2_1(X132)
                | ~ c0_1(X132) ) )
          | ! [X133] :
              ( ndr1_0
             => ( c3_1(X133)
                | c1_1(X133)
                | c0_1(X133) ) )
          | ! [X134] :
              ( ndr1_0
             => ( c2_1(X134)
                | c1_1(X134)
                | c0_1(X134) ) ) )
        & ( ( c2_1(a456)
            & c1_1(a456)
            & c0_1(a456)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a447)
            & c2_1(a447)
            & c1_1(a447)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a437)
            & c2_1(a437)
            & c0_1(a437)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a509)
            & ~ c2_1(a509)
            & ~ c0_1(a509)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a492)
            & c2_1(a492)
            & c1_1(a492)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a489)
            & c3_1(a489)
            & c2_1(a489)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a486)
            & c2_1(a486)
            & c1_1(a486)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a484)
            & ~ c2_1(a484)
            & c1_1(a484)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a475)
            & ~ c0_1(a475)
            & c2_1(a475)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c0_1(a472)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a466)
            & ~ c2_1(a466)
            & ~ c1_1(a466)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a463)
            & c2_1(a463)
            & c0_1(a463)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a457)
            & c3_1(a457)
            & c1_1(a457)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a454)
            & ~ c0_1(a454)
            & c3_1(a454)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a452)
            & c1_1(a452)
            & c0_1(a452)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a451)
            & c3_1(a451)
            & c2_1(a451)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a450)
            & c3_1(a450)
            & c1_1(a450)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a449)
            & ~ c1_1(a449)
            & c2_1(a449)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a448)
            & ~ c0_1(a448)
            & c1_1(a448)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a445)
            & ~ c1_1(a445)
            & ~ c0_1(a445)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a444)
            & ~ c0_1(a444)
            & c2_1(a444)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a443)
            & ~ c1_1(a443)
            & c3_1(a443)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a442)
            & c2_1(a442)
            & c0_1(a442)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a441)
            & ~ c2_1(a441)
            & c0_1(a441)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a439)
            & c3_1(a439)
            & c0_1(a439)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a435)
            & ~ c0_1(a435)
            & c1_1(a435)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a434)
            & ~ c1_1(a434)
            & c0_1(a434)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a433)
            & ~ c1_1(a433)
            & ~ c0_1(a433)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a432)
            & ~ c0_1(a432)
            & c3_1(a432)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp1
          | hskp8
          | hskp10 )
        & ( hskp3
          | hskp12
          | hskp24 )
        & ( hskp13
          | hskp20
          | hskp6 )
        & ( hskp23
          | hskp10
          | hskp17 )
        & ( hskp13
          | hskp19
          | hskp14 )
        & ( hskp24
          | hskp14
          | hskp30 )
        & ( hskp0
          | hskp6
          | ! [X134] :
              ( ndr1_0
             => ( ~ c3_1(X134)
                | ~ c2_1(X134)
                | ~ c1_1(X134) ) ) )
        & ( hskp15
          | hskp11
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | ~ c2_1(X133)
                | ~ c0_1(X133) ) ) )
        & ( hskp0
          | hskp29
          | ! [X132] :
              ( ndr1_0
             => ( ~ c3_1(X132)
                | ~ c2_1(X132)
                | ~ c0_1(X132) ) ) )
        & ( hskp3
          | hskp12
          | ! [X131] :
              ( ndr1_0
             => ( ~ c3_1(X131)
                | ~ c1_1(X131)
                | ~ c0_1(X131) ) ) )
        & ( hskp27
          | hskp26
          | ! [X130] :
              ( ndr1_0
             => ( ~ c3_1(X130)
                | ~ c1_1(X130)
                | ~ c0_1(X130) ) ) )
        & ( hskp8
          | hskp24
          | ! [X129] :
              ( ndr1_0
             => ( ~ c3_1(X129)
                | ~ c1_1(X129)
                | ~ c0_1(X129) ) ) )
        & ( hskp19
          | hskp28
          | ! [X128] :
              ( ndr1_0
             => ( ~ c2_1(X128)
                | ~ c1_1(X128)
                | c3_1(X128) ) ) )
        & ( hskp12
          | hskp14
          | ! [X127] :
              ( ndr1_0
             => ( ~ c2_1(X127)
                | ~ c0_1(X127)
                | c3_1(X127) ) ) )
        & ( hskp26
          | hskp30
          | ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c1_1(X126)
                | c2_1(X126) ) ) )
        & ( hskp25
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c1_1(X125)
                | ~ c0_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c1_1(X124)
                | c2_1(X124) ) ) )
        & ( hskp19
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c0_1(X122)
                | c2_1(X122) ) ) )
        & ( hskp30
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c0_1(X120)
                | c2_1(X120) ) ) )
        & ( hskp16
          | hskp29
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c0_1(X119)
                | c2_1(X119) ) ) )
        & ( hskp8
          | ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | c1_1(X117) ) ) )
        & ( hskp8
          | hskp26
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c1_1(X116) ) ) )
        & ( hskp13
          | hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c0_1(X115)
                | c1_1(X115) ) ) )
        & ( hskp25
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c0_1(X113)
                | c1_1(X113) ) ) )
        & ( hskp10
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | c3_1(X112)
                | c2_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) ) )
        & ( hskp23
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | c2_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c1_1(X109) ) ) )
        & ( hskp24
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c0_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp7
          | hskp23
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c3_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp11
          | hskp30
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c1_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp3
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c3_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp1
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c2_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c2_1(X95)
                | c1_1(X95) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp28
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c2_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp19
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp0
          | hskp8
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp22
          | hskp21
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp1
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp20
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp5
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp6
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp8
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp1
          | hskp19
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp18
          | hskp6
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp13
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp14
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp9
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp1
          | hskp2
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp16
          | hskp30
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp9
          | hskp15
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp2
          | hskp14
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp13
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp11
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp10
          | hskp29
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp28
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp9
          | hskp8
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp7
          | hskp6
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp5
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp1
          | hskp4
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp0
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp1
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c3_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | c3_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a456)
            & c1_1(a456)
            & c0_1(a456)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a447)
            & c2_1(a447)
            & c1_1(a447)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a437)
            & c2_1(a437)
            & c0_1(a437)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a509)
            & ~ c2_1(a509)
            & ~ c0_1(a509)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a492)
            & c2_1(a492)
            & c1_1(a492)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a489)
            & c3_1(a489)
            & c2_1(a489)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a486)
            & c2_1(a486)
            & c1_1(a486)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a484)
            & ~ c2_1(a484)
            & c1_1(a484)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a475)
            & ~ c0_1(a475)
            & c2_1(a475)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c0_1(a472)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a466)
            & ~ c2_1(a466)
            & ~ c1_1(a466)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a463)
            & c2_1(a463)
            & c0_1(a463)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a457)
            & c3_1(a457)
            & c1_1(a457)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a454)
            & ~ c0_1(a454)
            & c3_1(a454)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a452)
            & c1_1(a452)
            & c0_1(a452)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a451)
            & c3_1(a451)
            & c2_1(a451)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a450)
            & c3_1(a450)
            & c1_1(a450)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a449)
            & ~ c1_1(a449)
            & c2_1(a449)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a448)
            & ~ c0_1(a448)
            & c1_1(a448)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a445)
            & ~ c1_1(a445)
            & ~ c0_1(a445)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a444)
            & ~ c0_1(a444)
            & c2_1(a444)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a443)
            & ~ c1_1(a443)
            & c3_1(a443)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a442)
            & c2_1(a442)
            & c0_1(a442)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a441)
            & ~ c2_1(a441)
            & c0_1(a441)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a439)
            & c3_1(a439)
            & c0_1(a439)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a435)
            & ~ c0_1(a435)
            & c1_1(a435)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a434)
            & ~ c1_1(a434)
            & c0_1(a434)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a433)
            & ~ c1_1(a433)
            & ~ c0_1(a433)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a432)
            & ~ c0_1(a432)
            & c3_1(a432)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp1
        | hskp8
        | hskp10 )
      & ( hskp3
        | hskp12
        | hskp24 )
      & ( hskp13
        | hskp20
        | hskp6 )
      & ( hskp23
        | hskp10
        | hskp17 )
      & ( hskp13
        | hskp19
        | hskp14 )
      & ( hskp24
        | hskp14
        | hskp30 )
      & ( hskp0
        | hskp6
        | ! [X134] :
            ( ndr1_0
           => ( ~ c3_1(X134)
              | ~ c2_1(X134)
              | ~ c1_1(X134) ) ) )
      & ( hskp15
        | hskp11
        | ! [X133] :
            ( ndr1_0
           => ( ~ c3_1(X133)
              | ~ c2_1(X133)
              | ~ c0_1(X133) ) ) )
      & ( hskp0
        | hskp29
        | ! [X132] :
            ( ndr1_0
           => ( ~ c3_1(X132)
              | ~ c2_1(X132)
              | ~ c0_1(X132) ) ) )
      & ( hskp3
        | hskp12
        | ! [X131] :
            ( ndr1_0
           => ( ~ c3_1(X131)
              | ~ c1_1(X131)
              | ~ c0_1(X131) ) ) )
      & ( hskp27
        | hskp26
        | ! [X130] :
            ( ndr1_0
           => ( ~ c3_1(X130)
              | ~ c1_1(X130)
              | ~ c0_1(X130) ) ) )
      & ( hskp8
        | hskp24
        | ! [X129] :
            ( ndr1_0
           => ( ~ c3_1(X129)
              | ~ c1_1(X129)
              | ~ c0_1(X129) ) ) )
      & ( hskp19
        | hskp28
        | ! [X128] :
            ( ndr1_0
           => ( ~ c2_1(X128)
              | ~ c1_1(X128)
              | c3_1(X128) ) ) )
      & ( hskp12
        | hskp14
        | ! [X127] :
            ( ndr1_0
           => ( ~ c2_1(X127)
              | ~ c0_1(X127)
              | c3_1(X127) ) ) )
      & ( hskp26
        | hskp30
        | ! [X126] :
            ( ndr1_0
           => ( ~ c3_1(X126)
              | ~ c1_1(X126)
              | c2_1(X126) ) ) )
      & ( hskp25
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c1_1(X125)
              | ~ c0_1(X125) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c1_1(X124)
              | c2_1(X124) ) ) )
      & ( hskp19
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c0_1(X122)
              | c2_1(X122) ) ) )
      & ( hskp30
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c0_1(X120)
              | c2_1(X120) ) ) )
      & ( hskp16
        | hskp29
        | ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | ~ c0_1(X119)
              | c2_1(X119) ) ) )
      & ( hskp8
        | ! [X118] :
            ( ndr1_0
           => ( ~ c1_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c2_1(X117)
              | c1_1(X117) ) ) )
      & ( hskp8
        | hskp26
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c1_1(X116) ) ) )
      & ( hskp13
        | hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c0_1(X115)
              | c1_1(X115) ) ) )
      & ( hskp25
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c0_1(X113)
              | c1_1(X113) ) ) )
      & ( hskp10
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | c3_1(X112)
              | c2_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c0_1(X111)
              | c1_1(X111) ) ) )
      & ( hskp23
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c0_1(X110)
              | c2_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c1_1(X109) ) ) )
      & ( hskp24
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c3_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c0_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp7
        | hskp23
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | c3_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp11
        | hskp30
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c1_1(X104)
              | ~ c0_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | c3_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp3
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c1_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | ~ c0_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c3_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | c2_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp1
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c2_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | c2_1(X95)
              | c1_1(X95) ) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp28
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | c2_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp19
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c1_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp0
        | hskp8
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | c0_1(X87) ) ) )
      & ( hskp22
        | hskp21
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c0_1(X86) ) ) )
      & ( hskp1
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | c0_1(X84) ) ) )
      & ( hskp20
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp5
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c1_1(X80)
              | c0_1(X80) ) ) )
      & ( hskp6
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c1_1(X78)
              | c0_1(X78) ) ) )
      & ( hskp8
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c0_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c1_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp1
        | hskp19
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c3_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp18
        | hskp6
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | c3_1(X74)
              | c0_1(X74) ) ) )
      & ( hskp16
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | ~ c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c0_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | ~ c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c1_1(X70)
              | ~ c0_1(X70)
              | c3_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c0_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | c3_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c3_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp13
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp14
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | ~ c0_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp9
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp1
        | hskp2
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp16
        | hskp30
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c3_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c0_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp9
        | hskp15
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp2
        | hskp14
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp13
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c1_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp12
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp11
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp10
        | hskp29
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp28
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c1_1(X28)
              | ~ c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp9
        | hskp8
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp7
        | hskp6
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp5
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c3_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp1
        | hskp4
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp0
        | hskp28
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp1
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c2_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | ~ c0_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c3_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | ~ c0_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c3_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | c3_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c2_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a456)
          & c1_1(a456)
          & c0_1(a456)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a447)
          & c2_1(a447)
          & c1_1(a447)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a437)
          & c2_1(a437)
          & c0_1(a437)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a509)
          & ~ c2_1(a509)
          & ~ c0_1(a509)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a492)
          & c2_1(a492)
          & c1_1(a492)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a489)
          & c3_1(a489)
          & c2_1(a489)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a486)
          & c2_1(a486)
          & c1_1(a486)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a484)
          & ~ c2_1(a484)
          & c1_1(a484)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a475)
          & ~ c0_1(a475)
          & c2_1(a475)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a474)
          & c1_1(a474)
          & c0_1(a474)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a472)
          & c3_1(a472)
          & c0_1(a472)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a467)
          & ~ c1_1(a467)
          & c0_1(a467)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a466)
          & ~ c2_1(a466)
          & ~ c1_1(a466)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a463)
          & c2_1(a463)
          & c0_1(a463)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a457)
          & c3_1(a457)
          & c1_1(a457)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a454)
          & ~ c0_1(a454)
          & c3_1(a454)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a452)
          & c1_1(a452)
          & c0_1(a452)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a451)
          & c3_1(a451)
          & c2_1(a451)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a450)
          & c3_1(a450)
          & c1_1(a450)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a449)
          & ~ c1_1(a449)
          & c2_1(a449)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a448)
          & ~ c0_1(a448)
          & c1_1(a448)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a445)
          & ~ c1_1(a445)
          & ~ c0_1(a445)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a444)
          & ~ c0_1(a444)
          & c2_1(a444)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a443)
          & ~ c1_1(a443)
          & c3_1(a443)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a442)
          & c2_1(a442)
          & c0_1(a442)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a441)
          & ~ c2_1(a441)
          & c0_1(a441)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a439)
          & c3_1(a439)
          & c0_1(a439)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a435)
          & ~ c0_1(a435)
          & c1_1(a435)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a434)
          & ~ c1_1(a434)
          & c0_1(a434)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a433)
          & ~ c1_1(a433)
          & ~ c0_1(a433)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a432)
          & ~ c0_1(a432)
          & c3_1(a432)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1046,plain,
    ( ~ spl0_17
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f10,f1043,f328]) ).

fof(f10,plain,
    ( ~ c2_1(a432)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1035,plain,
    ( ~ spl0_3
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f13,f1032,f267]) ).

fof(f267,plain,
    ( spl0_3
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f13,plain,
    ( ~ c1_1(a433)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1030,plain,
    ( ~ spl0_3
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f14,f1027,f267]) ).

fof(f14,plain,
    ( ~ c2_1(a433)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1024,plain,
    ( ~ spl0_58
    | spl0_151 ),
    inference(avatar_split_clause,[],[f16,f1021,f515]) ).

fof(f515,plain,
    ( spl0_58
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f16,plain,
    ( c0_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1019,plain,
    ( ~ spl0_58
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f17,f1016,f515]) ).

fof(f17,plain,
    ( ~ c1_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1014,plain,
    ( ~ spl0_58
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f18,f1011,f515]) ).

fof(f18,plain,
    ( ~ c3_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_6
    | spl0_148 ),
    inference(avatar_split_clause,[],[f20,f1005,f280]) ).

fof(f280,plain,
    ( spl0_6
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f20,plain,
    ( c1_1(a435)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1003,plain,
    ( ~ spl0_6
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f21,f1000,f280]) ).

fof(f21,plain,
    ( ~ c0_1(a435)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f998,plain,
    ( ~ spl0_6
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f22,f995,f280]) ).

fof(f22,plain,
    ( ~ c3_1(a435)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_51
    | spl0_142 ),
    inference(avatar_split_clause,[],[f28,f973,f476]) ).

fof(f476,plain,
    ( spl0_51
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f28,plain,
    ( c0_1(a441)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f971,plain,
    ( ~ spl0_51
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f29,f968,f476]) ).

fof(f29,plain,
    ( ~ c2_1(a441)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f966,plain,
    ( ~ spl0_51
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f30,f963,f476]) ).

fof(f30,plain,
    ( ~ c3_1(a441)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f961,plain,
    ( ~ spl0_7
    | spl0_15 ),
    inference(avatar_split_clause,[],[f31,f321,f285]) ).

fof(f285,plain,
    ( spl0_7
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f321,plain,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f31,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f960,plain,
    ( ~ spl0_7
    | spl0_139 ),
    inference(avatar_split_clause,[],[f32,f957,f285]) ).

fof(f32,plain,
    ( c0_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( ~ spl0_7
    | spl0_138 ),
    inference(avatar_split_clause,[],[f33,f952,f285]) ).

fof(f33,plain,
    ( c2_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f950,plain,
    ( ~ spl0_7
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f34,f947,f285]) ).

fof(f34,plain,
    ( ~ c3_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_42
    | spl0_136 ),
    inference(avatar_split_clause,[],[f36,f941,f433]) ).

fof(f433,plain,
    ( spl0_42
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f36,plain,
    ( c3_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f939,plain,
    ( ~ spl0_42
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f37,f936,f433]) ).

fof(f37,plain,
    ( ~ c1_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f934,plain,
    ( ~ spl0_42
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f38,f931,f433]) ).

fof(f38,plain,
    ( ~ c2_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_2
    | spl0_133 ),
    inference(avatar_split_clause,[],[f40,f925,f263]) ).

fof(f263,plain,
    ( spl0_2
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f40,plain,
    ( c2_1(a444)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f923,plain,
    ( ~ spl0_2
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f41,f920,f263]) ).

fof(f41,plain,
    ( ~ c0_1(a444)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_2
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f42,f915,f263]) ).

fof(f42,plain,
    ( ~ c3_1(a444)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_1
    | spl0_127 ),
    inference(avatar_split_clause,[],[f48,f893,f259]) ).

fof(f259,plain,
    ( spl0_1
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f48,plain,
    ( c1_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( ~ spl0_1
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f50,f883,f259]) ).

fof(f50,plain,
    ( ~ c2_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_19
    | spl0_124 ),
    inference(avatar_split_clause,[],[f52,f877,f336]) ).

fof(f336,plain,
    ( spl0_19
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f52,plain,
    ( c2_1(a449)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( ~ spl0_19
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f53,f872,f336]) ).

fof(f53,plain,
    ( ~ c1_1(a449)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f870,plain,
    ( ~ spl0_19
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f54,f867,f336]) ).

fof(f54,plain,
    ( ~ c3_1(a449)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_5
    | spl0_121 ),
    inference(avatar_split_clause,[],[f56,f861,f276]) ).

fof(f276,plain,
    ( spl0_5
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f56,plain,
    ( c1_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( ~ spl0_5
    | spl0_120 ),
    inference(avatar_split_clause,[],[f57,f856,f276]) ).

fof(f57,plain,
    ( c3_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f854,plain,
    ( ~ spl0_5
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f58,f851,f276]) ).

fof(f58,plain,
    ( ~ c0_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f849,plain,
    ( ~ spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f59,f321,f293]) ).

fof(f293,plain,
    ( spl0_9
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

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

fof(f848,plain,
    ( ~ spl0_9
    | spl0_118 ),
    inference(avatar_split_clause,[],[f60,f845,f293]) ).

fof(f60,plain,
    ( c2_1(a451)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f843,plain,
    ( ~ spl0_9
    | spl0_117 ),
    inference(avatar_split_clause,[],[f61,f840,f293]) ).

fof(f61,plain,
    ( c3_1(a451)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f838,plain,
    ( ~ spl0_9
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f62,f835,f293]) ).

fof(f62,plain,
    ( ~ c1_1(a451)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_12
    | spl0_115 ),
    inference(avatar_split_clause,[],[f64,f829,f307]) ).

fof(f307,plain,
    ( spl0_12
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f64,plain,
    ( c0_1(a452)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_12
    | spl0_114 ),
    inference(avatar_split_clause,[],[f65,f824,f307]) ).

fof(f65,plain,
    ( c1_1(a452)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( ~ spl0_12
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f66,f819,f307]) ).

fof(f66,plain,
    ( ~ c2_1(a452)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f800,plain,
    ( ~ spl0_33
    | spl0_109 ),
    inference(avatar_split_clause,[],[f72,f797,f396]) ).

fof(f396,plain,
    ( spl0_33
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f72,plain,
    ( c1_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( ~ spl0_33
    | spl0_108 ),
    inference(avatar_split_clause,[],[f73,f792,f396]) ).

fof(f73,plain,
    ( c3_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_33
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f74,f787,f396]) ).

fof(f74,plain,
    ( ~ c2_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f784,plain,
    ( ~ spl0_10
    | spl0_106 ),
    inference(avatar_split_clause,[],[f76,f781,f298]) ).

fof(f298,plain,
    ( spl0_10
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f76,plain,
    ( c0_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( ~ spl0_10
    | spl0_105 ),
    inference(avatar_split_clause,[],[f77,f776,f298]) ).

fof(f77,plain,
    ( c2_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f774,plain,
    ( ~ spl0_10
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f78,f771,f298]) ).

fof(f78,plain,
    ( ~ c1_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f768,plain,
    ( ~ spl0_54
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f80,f765,f490]) ).

fof(f490,plain,
    ( spl0_54
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f80,plain,
    ( ~ c1_1(a466)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( ~ spl0_54
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f81,f760,f490]) ).

fof(f81,plain,
    ( ~ c2_1(a466)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f758,plain,
    ( ~ spl0_54
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f82,f755,f490]) ).

fof(f82,plain,
    ( ~ c3_1(a466)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f752,plain,
    ( ~ spl0_13
    | spl0_100 ),
    inference(avatar_split_clause,[],[f84,f749,f311]) ).

fof(f311,plain,
    ( spl0_13
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f84,plain,
    ( c0_1(a467)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f747,plain,
    ( ~ spl0_13
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f85,f744,f311]) ).

fof(f85,plain,
    ( ~ c1_1(a467)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f742,plain,
    ( ~ spl0_13
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f86,f739,f311]) ).

fof(f86,plain,
    ( ~ c2_1(a467)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f737,plain,
    ( ~ spl0_8
    | spl0_15 ),
    inference(avatar_split_clause,[],[f87,f321,f289]) ).

fof(f289,plain,
    ( spl0_8
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f87,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_8
    | spl0_97 ),
    inference(avatar_split_clause,[],[f88,f733,f289]) ).

fof(f88,plain,
    ( c0_1(a472)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f731,plain,
    ( ~ spl0_8
    | spl0_96 ),
    inference(avatar_split_clause,[],[f89,f728,f289]) ).

fof(f89,plain,
    ( c3_1(a472)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f726,plain,
    ( ~ spl0_8
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f90,f723,f289]) ).

fof(f90,plain,
    ( ~ c2_1(a472)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f688,plain,
    ( ~ spl0_11
    | spl0_88 ),
    inference(avatar_split_clause,[],[f100,f685,f302]) ).

fof(f302,plain,
    ( spl0_11
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f100,plain,
    ( c1_1(a484)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f683,plain,
    ( ~ spl0_11
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f101,f680,f302]) ).

fof(f101,plain,
    ( ~ c2_1(a484)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f678,plain,
    ( ~ spl0_11
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f102,f675,f302]) ).

fof(f102,plain,
    ( ~ c3_1(a484)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( ~ spl0_4
    | spl0_85 ),
    inference(avatar_split_clause,[],[f104,f669,f272]) ).

fof(f272,plain,
    ( spl0_4
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f104,plain,
    ( c1_1(a486)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f667,plain,
    ( ~ spl0_4
    | spl0_84 ),
    inference(avatar_split_clause,[],[f105,f664,f272]) ).

fof(f105,plain,
    ( c2_1(a486)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f662,plain,
    ( ~ spl0_4
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f106,f659,f272]) ).

fof(f106,plain,
    ( ~ c0_1(a486)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( ~ spl0_29
    | spl0_82 ),
    inference(avatar_split_clause,[],[f108,f653,f380]) ).

fof(f380,plain,
    ( spl0_29
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f108,plain,
    ( c2_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( ~ spl0_29
    | spl0_81 ),
    inference(avatar_split_clause,[],[f109,f648,f380]) ).

fof(f109,plain,
    ( c3_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f646,plain,
    ( ~ spl0_29
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f110,f643,f380]) ).

fof(f110,plain,
    ( ~ c0_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f640,plain,
    ( ~ spl0_23
    | spl0_79 ),
    inference(avatar_split_clause,[],[f112,f637,f354]) ).

fof(f354,plain,
    ( spl0_23
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f112,plain,
    ( c1_1(a492)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f635,plain,
    ( ~ spl0_23
    | spl0_78 ),
    inference(avatar_split_clause,[],[f113,f632,f354]) ).

fof(f113,plain,
    ( c2_1(a492)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f630,plain,
    ( ~ spl0_23
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f114,f627,f354]) ).

fof(f114,plain,
    ( ~ c3_1(a492)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( ~ spl0_26
    | spl0_73 ),
    inference(avatar_split_clause,[],[f120,f605,f367]) ).

fof(f367,plain,
    ( spl0_26
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f120,plain,
    ( c0_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f603,plain,
    ( ~ spl0_26
    | spl0_72 ),
    inference(avatar_split_clause,[],[f121,f600,f367]) ).

fof(f121,plain,
    ( c2_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f598,plain,
    ( ~ spl0_26
    | spl0_71 ),
    inference(avatar_split_clause,[],[f122,f595,f367]) ).

fof(f122,plain,
    ( c3_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_21
    | spl0_70 ),
    inference(avatar_split_clause,[],[f124,f589,f345]) ).

fof(f345,plain,
    ( spl0_21
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f124,plain,
    ( c1_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f587,plain,
    ( ~ spl0_21
    | spl0_69 ),
    inference(avatar_split_clause,[],[f125,f584,f345]) ).

fof(f125,plain,
    ( c2_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f582,plain,
    ( ~ spl0_21
    | spl0_68 ),
    inference(avatar_split_clause,[],[f126,f579,f345]) ).

fof(f126,plain,
    ( c3_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(avatar_split_clause,[],[f128,f573,f316]) ).

fof(f316,plain,
    ( spl0_14
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f128,plain,
    ( c0_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f571,plain,
    ( ~ spl0_14
    | spl0_66 ),
    inference(avatar_split_clause,[],[f129,f568,f316]) ).

fof(f129,plain,
    ( c1_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f566,plain,
    ( ~ spl0_14
    | spl0_65 ),
    inference(avatar_split_clause,[],[f130,f563,f316]) ).

fof(f130,plain,
    ( c2_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( spl0_59
    | ~ spl0_15
    | spl0_45
    | spl0_19 ),
    inference(avatar_split_clause,[],[f222,f336,f449,f321,f524]) ).

fof(f222,plain,
    ! [X104,X103] :
      ( hskp11
      | ~ c0_1(X103)
      | c2_1(X103)
      | c1_1(X103)
      | ~ ndr1_0
      | ~ c1_1(X104)
      | c2_1(X104)
      | c0_1(X104) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X104,X103] :
      ( hskp11
      | ~ c0_1(X103)
      | c2_1(X103)
      | c1_1(X103)
      | ~ ndr1_0
      | ~ c1_1(X104)
      | c2_1(X104)
      | c0_1(X104)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( spl0_59
    | ~ spl0_15
    | spl0_43
    | spl0_5 ),
    inference(avatar_split_clause,[],[f223,f276,f439,f321,f524]) ).

fof(f223,plain,
    ! [X101,X102] :
      ( hskp12
      | ~ c0_1(X101)
      | c3_1(X101)
      | c1_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | c2_1(X102)
      | c0_1(X102) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X101,X102] :
      ( hskp12
      | ~ c0_1(X101)
      | c3_1(X101)
      | c1_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | c2_1(X102)
      | c0_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f527,plain,
    ( ~ spl0_15
    | spl0_59
    | spl0_12
    | spl0_58 ),
    inference(avatar_split_clause,[],[f150,f515,f307,f524,f321]) ).

fof(f150,plain,
    ! [X98] :
      ( hskp2
      | hskp14
      | ~ c1_1(X98)
      | c2_1(X98)
      | c0_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_57
    | spl0_55
    | ~ spl0_15
    | spl0_47 ),
    inference(avatar_split_clause,[],[f225,f458,f321,f501,f512]) ).

fof(f225,plain,
    ! [X96,X94,X95] :
      ( ~ c3_1(X94)
      | ~ c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X95)
      | c3_1(X95)
      | c0_1(X95)
      | ~ c3_1(X96)
      | c2_1(X96)
      | c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X96,X94,X95] :
      ( ~ c3_1(X94)
      | ~ c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X95)
      | c3_1(X95)
      | c0_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X96)
      | c2_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( spl0_57
    | spl0_34
    | ~ spl0_15
    | spl0_38 ),
    inference(avatar_split_clause,[],[f227,f418,f321,f401,f512]) ).

fof(f227,plain,
    ! [X90,X88,X89] :
      ( ~ c0_1(X88)
      | c3_1(X88)
      | c2_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X89)
      | ~ c2_1(X89)
      | c1_1(X89)
      | ~ c3_1(X90)
      | c2_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X90,X88,X89] :
      ( ~ c0_1(X88)
      | c3_1(X88)
      | c2_1(X88)
      | ~ ndr1_0
      | ~ c3_1(X89)
      | ~ c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ c3_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_15
    | spl0_57
    | spl0_58
    | spl0_3 ),
    inference(avatar_split_clause,[],[f156,f267,f515,f512,f321]) ).

fof(f156,plain,
    ! [X86] :
      ( hskp1
      | hskp2
      | ~ c3_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( spl0_55
    | spl0_52
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f229,f430,f321,f481,f501]) ).

fof(f229,plain,
    ! [X82,X83,X81] :
      ( ~ c2_1(X81)
      | c3_1(X81)
      | c1_1(X81)
      | ~ ndr1_0
      | ~ c2_1(X82)
      | ~ c1_1(X82)
      | c0_1(X82)
      | ~ c1_1(X83)
      | c3_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X82,X83,X81] :
      ( ~ c2_1(X81)
      | c3_1(X81)
      | c1_1(X81)
      | ~ ndr1_0
      | ~ c2_1(X82)
      | ~ c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c3_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( spl0_55
    | spl0_32
    | ~ spl0_15
    | spl0_22 ),
    inference(avatar_split_clause,[],[f230,f350,f321,f393,f501]) ).

fof(f230,plain,
    ! [X80,X78,X79] :
      ( ~ c3_1(X78)
      | ~ c1_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | ~ c0_1(X79)
      | c2_1(X79)
      | ~ c1_1(X80)
      | c3_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X80,X78,X79] :
      ( ~ c3_1(X78)
      | ~ c1_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | ~ c0_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c3_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_55
    | spl0_28
    | ~ spl0_15
    | spl0_35 ),
    inference(avatar_split_clause,[],[f231,f404,f321,f376,f501]) ).

fof(f231,plain,
    ! [X76,X77,X75] :
      ( ~ c1_1(X75)
      | ~ c0_1(X75)
      | c3_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | ~ c1_1(X76)
      | c2_1(X76)
      | ~ c1_1(X77)
      | c3_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X76,X77,X75] :
      ( ~ c1_1(X75)
      | ~ c0_1(X75)
      | c3_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | ~ c1_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c3_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_47
    | spl0_12 ),
    inference(avatar_split_clause,[],[f232,f307,f458,f321,f486]) ).

fof(f232,plain,
    ! [X73,X74] :
      ( hskp14
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | c3_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X73,X74] :
      ( hskp14
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_32
    | spl0_10 ),
    inference(avatar_split_clause,[],[f235,f298,f393,f321,f486]) ).

fof(f235,plain,
    ! [X66,X67] :
      ( hskp17
      | ~ c1_1(X66)
      | ~ c0_1(X66)
      | c2_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | c3_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X66,X67] :
      ( hskp17
      | ~ c1_1(X66)
      | ~ c0_1(X66)
      | c2_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_53
    | spl0_35
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f236,f325,f321,f404,f486]) ).

fof(f236,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | ~ c2_1(X63)
      | ~ c1_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | c3_1(X64)
      | ~ c2_1(X65)
      | c3_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | ~ c2_1(X63)
      | ~ c1_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_53
    | ~ spl0_15
    | spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f237,f396,f325,f321,f486]) ).

fof(f237,plain,
    ! [X62,X61] :
      ( hskp16
      | ~ c3_1(X61)
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | c3_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X62,X61] :
      ( hskp16
      | ~ c3_1(X61)
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( ~ spl0_15
    | spl0_53
    | spl0_7
    | spl0_54 ),
    inference(avatar_split_clause,[],[f167,f490,f285,f486,f321]) ).

fof(f167,plain,
    ! [X60] :
      ( hskp18
      | hskp6
      | ~ c2_1(X60)
      | c3_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_52
    | ~ spl0_15
    | spl0_47
    | spl0_2 ),
    inference(avatar_split_clause,[],[f238,f263,f458,f321,f481]) ).

fof(f238,plain,
    ! [X58,X57] :
      ( hskp8
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X58,X57] :
      ( hskp8
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( spl0_52
    | ~ spl0_15
    | spl0_28
    | spl0_7 ),
    inference(avatar_split_clause,[],[f239,f285,f376,f321,f481]) ).

fof(f239,plain,
    ! [X56,X55] :
      ( hskp6
      | ~ c3_1(X55)
      | ~ c1_1(X55)
      | c2_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X56,X55] :
      ( hskp6
      | ~ c3_1(X55)
      | ~ c1_1(X55)
      | c2_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_50
    | ~ spl0_15
    | spl0_32
    | spl0_51 ),
    inference(avatar_split_clause,[],[f240,f476,f393,f321,f473]) ).

fof(f240,plain,
    ! [X54,X53] :
      ( hskp5
      | ~ c1_1(X53)
      | ~ c0_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X54,X53] :
      ( hskp5
      | ~ c1_1(X53)
      | ~ c0_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_47
    | ~ spl0_15
    | spl0_43
    | spl0_8 ),
    inference(avatar_split_clause,[],[f241,f289,f439,f321,f458]) ).

fof(f241,plain,
    ! [X51,X52] :
      ( hskp20
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X51,X52] :
      ( hskp20
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( ~ spl0_15
    | spl0_47
    | spl0_2
    | spl0_17 ),
    inference(avatar_split_clause,[],[f175,f328,f263,f458,f321]) ).

fof(f175,plain,
    ! [X47] :
      ( hskp0
      | hskp8
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( spl0_46
    | ~ spl0_15
    | spl0_25
    | spl0_13 ),
    inference(avatar_split_clause,[],[f243,f311,f364,f321,f454]) ).

fof(f243,plain,
    ! [X46,X45] :
      ( hskp19
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | c3_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | c2_1(X46)
      | c1_1(X46) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X46,X45] :
      ( hskp19
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | c3_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_45
    | ~ spl0_15
    | spl0_44
    | spl0_26 ),
    inference(avatar_split_clause,[],[f244,f367,f444,f321,f449]) ).

fof(f244,plain,
    ! [X44,X43] :
      ( hskp28
      | ~ c3_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X44,X43] :
      ( hskp28
      | ~ c3_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( spl0_45
    | spl0_36
    | ~ spl0_15
    | spl0_30 ),
    inference(avatar_split_clause,[],[f245,f385,f321,f408,f449]) ).

fof(f245,plain,
    ! [X40,X41,X42] :
      ( ~ c3_1(X40)
      | ~ c0_1(X40)
      | c2_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c0_1(X41)
      | c1_1(X41)
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X40,X41,X42] :
      ( ~ c3_1(X40)
      | ~ c0_1(X40)
      | c2_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c0_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_44
    | spl0_35
    | ~ spl0_15
    | spl0_22 ),
    inference(avatar_split_clause,[],[f247,f350,f321,f404,f444]) ).

fof(f247,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c1_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | c3_1(X36)
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c1_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f442,plain,
    ( spl0_43
    | ~ spl0_15
    | spl0_32
    | spl0_6 ),
    inference(avatar_split_clause,[],[f248,f280,f393,f321,f439]) ).

fof(f248,plain,
    ! [X34,X33] :
      ( hskp3
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X34,X33] :
      ( hskp3
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_43
    | spl0_31
    | ~ spl0_15
    | spl0_22 ),
    inference(avatar_split_clause,[],[f249,f350,f321,f389,f439]) ).

fof(f249,plain,
    ! [X31,X32,X30] :
      ( ~ c3_1(X30)
      | ~ c1_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0
      | ~ c2_1(X31)
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X31,X32,X30] :
      ( ~ c3_1(X30)
      | ~ c1_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0
      | ~ c2_1(X31)
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( ~ spl0_15
    | spl0_41
    | spl0_11
    | spl0_42 ),
    inference(avatar_split_clause,[],[f184,f433,f302,f430,f321]) ).

fof(f184,plain,
    ! [X28] :
      ( hskp7
      | hskp23
      | ~ c2_1(X28)
      | c3_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( spl0_39
    | ~ spl0_15
    | spl0_40
    | spl0_4 ),
    inference(avatar_split_clause,[],[f250,f272,f426,f321,f422]) ).

fof(f250,plain,
    ! [X26,X27] :
      ( hskp24
      | ~ c1_1(X26)
      | c3_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X26,X27] :
      ( hskp24
      | ~ c1_1(X26)
      | c3_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f424,plain,
    ( spl0_39
    | ~ spl0_15
    | spl0_30
    | spl0_11 ),
    inference(avatar_split_clause,[],[f251,f302,f385,f321,f422]) ).

fof(f251,plain,
    ! [X24,X25] :
      ( hskp23
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X24,X25] :
      ( hskp23
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f416,plain,
    ( spl0_36
    | ~ spl0_15
    | spl0_27
    | spl0_29 ),
    inference(avatar_split_clause,[],[f253,f380,f372,f321,f408]) ).

fof(f253,plain,
    ! [X21,X20] :
      ( hskp25
      | ~ c2_1(X20)
      | ~ c0_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X21,X20] :
      ( hskp25
      | ~ c2_1(X20)
      | ~ c0_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f410,plain,
    ( ~ spl0_15
    | spl0_36
    | spl0_23
    | spl0_2 ),
    inference(avatar_split_clause,[],[f190,f263,f354,f408,f321]) ).

fof(f190,plain,
    ! [X18] :
      ( hskp8
      | hskp26
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c1_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_34
    | ~ spl0_15
    | spl0_35
    | spl0_2 ),
    inference(avatar_split_clause,[],[f254,f263,f404,f321,f401]) ).

fof(f254,plain,
    ! [X16,X17] :
      ( hskp8
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X16,X17] :
      ( hskp8
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f399,plain,
    ( ~ spl0_15
    | spl0_32
    | spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f192,f396,f345,f393,f321]) ).

fof(f192,plain,
    ! [X15] :
      ( hskp16
      | hskp29
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( spl0_30
    | ~ spl0_15
    | spl0_22
    | spl0_13 ),
    inference(avatar_split_clause,[],[f256,f311,f350,f321,f385]) ).

fof(f256,plain,
    ! [X11,X12] :
      ( hskp19
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X11,X12] :
      ( hskp19
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( spl0_28
    | ~ spl0_15
    | spl0_22
    | spl0_29 ),
    inference(avatar_split_clause,[],[f257,f380,f350,f321,f376]) ).

fof(f257,plain,
    ! [X10,X9] :
      ( hskp25
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X10,X9] :
      ( hskp25
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f378,plain,
    ( ~ spl0_15
    | spl0_28
    | spl0_14
    | spl0_23 ),
    inference(avatar_split_clause,[],[f196,f354,f316,f376,f321]) ).

fof(f196,plain,
    ! [X8] :
      ( hskp26
      | hskp30
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | c2_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_15
    | spl0_27
    | spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f197,f276,f307,f372,f321]) ).

fof(f197,plain,
    ! [X7] :
      ( hskp12
      | hskp14
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( ~ spl0_15
    | spl0_25
    | spl0_26
    | spl0_13 ),
    inference(avatar_split_clause,[],[f198,f311,f367,f364,f321]) ).

fof(f198,plain,
    ! [X6] :
      ( hskp19
      | hskp28
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( ~ spl0_15
    | spl0_22
    | spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f199,f263,f272,f350,f321]) ).

fof(f199,plain,
    ! [X5] :
      ( hskp8
      | hskp24
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f352,plain,
    ( ~ spl0_15
    | spl0_22
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f201,f280,f276,f350,f321]) ).

fof(f201,plain,
    ! [X3] :
      ( hskp3
      | hskp12
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f348,plain,
    ( ~ spl0_15
    | spl0_18
    | spl0_21
    | spl0_17 ),
    inference(avatar_split_clause,[],[f202,f328,f345,f333,f321]) ).

fof(f202,plain,
    ! [X2] :
      ( hskp0
      | hskp29
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f331,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_7
    | spl0_17 ),
    inference(avatar_split_clause,[],[f204,f328,f285,f325,f321]) ).

fof(f204,plain,
    ! [X0] :
      ( hskp0
      | hskp6
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f319,plain,
    ( spl0_14
    | spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f205,f272,f307,f316]) ).

fof(f205,plain,
    ( hskp24
    | hskp14
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f314,plain,
    ( spl0_12
    | spl0_13
    | spl0_9 ),
    inference(avatar_split_clause,[],[f206,f293,f311,f307]) ).

fof(f206,plain,
    ( hskp13
    | hskp19
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f305,plain,
    ( spl0_10
    | spl0_1
    | spl0_11 ),
    inference(avatar_split_clause,[],[f207,f302,f259,f298]) ).

fof(f207,plain,
    ( hskp23
    | hskp10
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f296,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f208,f293,f289,f285]) ).

fof(f208,plain,
    ( hskp13
    | hskp20
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SYN509+1 : TPTP v8.1.2. Released v2.1.0.
% 0.02/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Fri May  3 17:22:37 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  % (13146)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.31  % (13151)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.09/0.31  % (13157)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.31  % (13154)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.31  % (13152)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.31  % (13156)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.31  % (13155)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.31  Detected minimum model sizes of [1]
% 0.14/0.31  Detected maximum model sizes of [31]
% 0.14/0.31  TRYING [1]
% 0.14/0.31  % (13153)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.31  TRYING [2]
% 0.14/0.31  Detected minimum model sizes of [1]
% 0.14/0.31  Detected maximum model sizes of [31]
% 0.14/0.31  TRYING [1]
% 0.14/0.32  TRYING [2]
% 0.14/0.32  TRYING [3]
% 0.14/0.32  TRYING [3]
% 0.14/0.32  TRYING [4]
% 0.14/0.32  Detected minimum model sizes of [1]
% 0.14/0.32  Detected maximum model sizes of [31]
% 0.14/0.32  TRYING [1]
% 0.14/0.32  TRYING [2]
% 0.14/0.32  TRYING [4]
% 0.14/0.32  Detected minimum model sizes of [1]
% 0.14/0.32  Detected maximum model sizes of [31]
% 0.14/0.32  TRYING [1]
% 0.14/0.32  TRYING [2]
% 0.14/0.32  TRYING [3]
% 0.14/0.33  TRYING [3]
% 0.14/0.33  TRYING [4]
% 0.14/0.33  TRYING [5]
% 0.14/0.33  TRYING [4]
% 0.14/0.34  TRYING [5]
% 0.14/0.34  TRYING [5]
% 0.14/0.34  TRYING [5]
% 0.14/0.35  % (13156)First to succeed.
% 0.14/0.36  % (13156)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13146"
% 0.14/0.36  % (13156)Refutation found. Thanks to Tanya!
% 0.14/0.36  % SZS status Theorem for theBenchmark
% 0.14/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36  % (13156)------------------------------
% 0.14/0.36  % (13156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (13156)Termination reason: Refutation
% 0.14/0.36  
% 0.14/0.36  % (13156)Memory used [KB]: 2001
% 0.14/0.36  % (13156)Time elapsed: 0.043 s
% 0.14/0.36  % (13156)Instructions burned: 99 (million)
% 0.14/0.36  % (13146)Success in time 0.064 s
%------------------------------------------------------------------------------